TSTP Solution File: SWW317+1 by ConnectPP---0.3.0
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%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : SWW317+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 : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Mar 25 14:40:21 EDT 2024
% Result : Theorem 39.81s 40.04s
% Output : Proof 39.92s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW317+1 : TPTP v8.1.2. Released v5.2.0.
% 0.03/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.34 % Computer : n011.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Mar 21 01:50:57 EDT 2024
% 0.13/0.34 % CPUTime :
% 39.81/40.04 % SZS status Theorem for theBenchmark
% 39.81/40.04 % SZS output start Proof for theBenchmark
% 39.81/40.04
% 39.81/40.04 % Formula: fact_ext ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_ext-1, axiom, ( ( hAPP(_u1, skolem1(_u2, _u1)) != hAPP(_u2, skolem1(_u2, _u1))) | ( _u1 = _u2) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_empty ( axiom ) converted to clauses:
% 39.81/40.04 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))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_hoare__derivs_OSkip ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_hoare__derivs_OSkip-1, axiom, ( c_Hoare__Mirabelle_Ohoare__derivs(_u5, _u6, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u5)), c_Hoare__Mirabelle_Otriple_Otriple(_u5, _u7, c_Com_Ocom_OSKIP, _u7)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u5), tc_HOL_Obool)))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_hoare__derivs_Oequations_I1_J ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_hoare__derivs_Oequations_I1_J-1, axiom, ( c_Hoare__Mirabelle_Ohoare__derivs(_u8, _u9, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u8), tc_HOL_Obool))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_hoare__derivs_Oequations_I7_J ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_hoare__derivs_Oequations_I7_J-1, axiom, ( c_Hoare__Mirabelle_Ohoare__derivs(_u10, _u11, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u10)), c_Hoare__Mirabelle_Otriple_Otriple(_u10, _u12, c_Com_Ocom_OSKIP, _u12)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u10), tc_HOL_Obool)))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_triple_Oinject ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_triple_Oinject-1, axiom, ( ( c_Hoare__Mirabelle_Otriple_Otriple(_u20, _u22, _u24, _u26) != c_Hoare__Mirabelle_Otriple_Otriple(_u20, _u28, _u30, _u32)) | ( _u22 = _u28) )).
% 39.81/40.04 cnf(fact_triple_Oinject-2, axiom, ( ( c_Hoare__Mirabelle_Otriple_Otriple(_u20, _u22, _u24, _u26) != c_Hoare__Mirabelle_Otriple_Otriple(_u20, _u28, _u30, _u32)) | ( _u24 = _u30) )).
% 39.81/40.04 cnf(fact_triple_Oinject-3, axiom, ( ( c_Hoare__Mirabelle_Otriple_Otriple(_u20, _u22, _u24, _u26) != c_Hoare__Mirabelle_Otriple_Otriple(_u20, _u28, _u30, _u32)) | ( _u26 = _u32) )).
% 39.81/40.04 cnf(fact_triple_Oinject-4, axiom, ( ( _u23 != _u29) | ( _u25 != _u31) | ( _u27 != _u33) | ( c_Hoare__Mirabelle_Otriple_Otriple(_u21, _u23, _u25, _u27) = c_Hoare__Mirabelle_Otriple_Otriple(_u21, _u29, _u31, _u33)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_asm ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_asm-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(_u34), tc_HOL_Obool)), _u35), _u36)) | c_Hoare__Mirabelle_Ohoare__derivs(_u34, _u36, _u35) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_weaken ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_weaken-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u37, _u38, _u39) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(_u37), tc_HOL_Obool)), _u40), _u39)) | c_Hoare__Mirabelle_Ohoare__derivs(_u37, _u38, _u40) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_cut ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_cut-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u41, _u42, _u43) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u41, _u44, _u42) | c_Hoare__Mirabelle_Ohoare__derivs(_u41, _u44, _u43) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_hoare__derivs_Oinsert ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_hoare__derivs_Oinsert-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u45, _u46, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u45)), _u47), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u45), tc_HOL_Obool)))) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u45, _u46, _u48) | c_Hoare__Mirabelle_Ohoare__derivs(_u45, _u46, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u45)), _u47), _u48)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_empty__subsetI ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_empty__subsetI-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u49, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u49, tc_HOL_Obool))), _u50)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_subset__singletonD ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_subset__singletonD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u51, tc_HOL_Obool)), _u52), hAPP(hAPP(c_Set_Oinsert(_u51), _u53), c_Orderings_Obot__class_Obot(tc_fun(_u51, tc_HOL_Obool))))) | ( _u52 = c_Orderings_Obot__class_Obot(tc_fun(_u51, tc_HOL_Obool))) | ( _u52 = hAPP(hAPP(c_Set_Oinsert(_u51), _u53), c_Orderings_Obot__class_Obot(tc_fun(_u51, tc_HOL_Obool)))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_equalityI ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_equalityI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u54, tc_HOL_Obool)), _u55), _u56)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u54, tc_HOL_Obool)), _u56), _u55)) | ( _u55 = _u56) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_order__refl ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_order__refl-1, axiom, ( ~class_Orderings_Opreorder(_u57) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u57), _u58), _u58)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_bot__fun__def ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_bot__fun__def-1, axiom, ( ~class_Orderings_Obot(_u59) | ( hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u60, _u59)), _u61) = c_Orderings_Obot__class_Obot(_u59)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_triple_Orecs ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_triple_Orecs-1, axiom, ( ( c_Hoare__Mirabelle_Otriple_Otriple__rec(_u62, _u63, _u64, c_Hoare__Mirabelle_Otriple_Otriple(_u62, _u65, _u66, _u67)) = hAPP(hAPP(hAPP(_u64, _u65), _u66), _u67)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_triple_Osimps_I2_J ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_triple_Osimps_I2_J-1, axiom, ( ( c_Hoare__Mirabelle_Otriple_Otriple__case(_u68, _u69, _u70, c_Hoare__Mirabelle_Otriple_Otriple(_u68, _u71, _u72, _u73)) = hAPP(hAPP(hAPP(_u70, _u71), _u72), _u73)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_subset__insertI ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_subset__insertI-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u74, tc_HOL_Obool)), _u75), hAPP(hAPP(c_Set_Oinsert(_u74), _u76), _u75))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_subset__insertI2 ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_subset__insertI2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u77, tc_HOL_Obool)), _u78), _u79)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u77, tc_HOL_Obool)), _u78), hAPP(hAPP(c_Set_Oinsert(_u77), _u80), _u79))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_insert__mono ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_insert__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u81, tc_HOL_Obool)), _u82), _u83)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u81, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u81), _u84), _u82)), hAPP(hAPP(c_Set_Oinsert(_u81), _u84), _u83))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_subset__empty ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_subset__empty-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u87, tc_HOL_Obool)), _u89), c_Orderings_Obot__class_Obot(tc_fun(_u87, tc_HOL_Obool)))) | ( _u89 = c_Orderings_Obot__class_Obot(tc_fun(_u87, tc_HOL_Obool))) )).
% 39.81/40.04 cnf(fact_subset__empty-2, axiom, ( ( _u90 != c_Orderings_Obot__class_Obot(tc_fun(_u88, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u88, tc_HOL_Obool)), _u90), c_Orderings_Obot__class_Obot(tc_fun(_u88, tc_HOL_Obool)))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_empty__not__insert ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_empty__not__insert-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u91, tc_HOL_Obool)) != hAPP(hAPP(c_Set_Oinsert(_u91), _u92), _u93)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_linorder__le__cases ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_linorder__le__cases-1, axiom, ( ~class_Orderings_Olinorder(_u94) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u94), _u95), _u96)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u94), _u96), _u95)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_xt1_I6_J ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_xt1_I6_J-1, axiom, ( ~class_Orderings_Oorder(_u97) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u97), _u98), _u99)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u97), _u100), _u98)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u97), _u100), _u99)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_xt1_I5_J ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_xt1_I5_J-1, axiom, ( ~class_Orderings_Oorder(_u101) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u101), _u102), _u103)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u101), _u103), _u102)) | ( _u103 = _u102) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_order__trans ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_order__trans-1, axiom, ( ~class_Orderings_Opreorder(_u104) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u104), _u105), _u106)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u104), _u106), _u107)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u104), _u105), _u107)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_order__antisym ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_order__antisym-1, axiom, ( ~class_Orderings_Oorder(_u108) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u108), _u109), _u110)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u108), _u110), _u109)) | ( _u109 = _u110) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_xt1_I4_J ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_xt1_I4_J-1, axiom, ( ~class_Orderings_Oorder(_u111) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u111), _u112), _u113)) | ( _u112 != _u114) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u111), _u114), _u113)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_ord__le__eq__trans ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_ord__le__eq__trans-1, axiom, ( ~class_Orderings_Oord(_u115) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u115), _u116), _u117)) | ( _u117 != _u118) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u115), _u116), _u118)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_xt1_I3_J ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_xt1_I3_J-1, axiom, ( ~class_Orderings_Oorder(_u119) | ( _u120 != _u121) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u119), _u122), _u121)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u119), _u122), _u120)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_ord__eq__le__trans ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_ord__eq__le__trans-1, axiom, ( ~class_Orderings_Oord(_u123) | ( _u124 != _u125) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u123), _u125), _u126)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u123), _u124), _u126)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_order__antisym__conv ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_order__antisym__conv-1, axiom, ( ~class_Orderings_Oorder(_u127) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u127), _u128), _u129)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u127), _u129), _u128)) | ( _u129 = _u128) )).
% 39.81/40.04 cnf(fact_order__antisym__conv-2, axiom, ( ~class_Orderings_Oorder(_u127) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u127), _u128), _u129)) | ( _u129 != _u128) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u127), _u129), _u128)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_order__eq__refl ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_order__eq__refl-1, axiom, ( ~class_Orderings_Opreorder(_u130) | ( _u131 != _u132) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u130), _u131), _u132)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_order__eq__iff ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_order__eq__iff-1, axiom, ( ~class_Orderings_Oorder(_u133) | ( _u134 != _u135) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u133), _u134), _u135)) )).
% 39.81/40.04 cnf(fact_order__eq__iff-2, axiom, ( ~class_Orderings_Oorder(_u133) | ( _u134 != _u135) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u133), _u135), _u134)) )).
% 39.81/40.04 cnf(fact_order__eq__iff-3, axiom, ( ~class_Orderings_Oorder(_u133) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u133), _u134), _u135)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u133), _u135), _u134)) | ( _u134 = _u135) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_linorder__linear ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_linorder__linear-1, axiom, ( ~class_Orderings_Olinorder(_u136) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u136), _u137), _u138)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u136), _u138), _u137)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_insert__code ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_insert__code-1, axiom, ( ( _u145 = _u149) | hBOOL(hAPP(_u147, _u149)) | ~hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(_u143), _u145), _u147), _u149)) )).
% 39.81/40.04 cnf(fact_insert__code-2, axiom, ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(_u144), _u146), _u148), _u150)) | ( _u146 != _u150) )).
% 39.81/40.04 cnf(fact_insert__code-3, axiom, ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(_u144), _u146), _u148), _u150)) | ~hBOOL(hAPP(_u148, _u150)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_insert__commute ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_insert__commute-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u151), _u152), hAPP(hAPP(c_Set_Oinsert(_u151), _u153), _u154)) = hAPP(hAPP(c_Set_Oinsert(_u151), _u153), hAPP(hAPP(c_Set_Oinsert(_u151), _u152), _u154))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_insert__absorb2 ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_insert__absorb2-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u155), _u156), hAPP(hAPP(c_Set_Oinsert(_u155), _u156), _u157)) = hAPP(hAPP(c_Set_Oinsert(_u155), _u156), _u157)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_equalityE ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_equalityE-1, axiom, ( ( _u158 != _u159) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u160, tc_HOL_Obool)), _u158), _u159)) )).
% 39.81/40.04 cnf(fact_equalityE-2, axiom, ( ( _u158 != _u159) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u160, tc_HOL_Obool)), _u159), _u158)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_subset__trans ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_subset__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u161, tc_HOL_Obool)), _u162), _u163)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u161, tc_HOL_Obool)), _u163), _u164)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u161, tc_HOL_Obool)), _u162), _u164)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_equalityD2 ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_equalityD2-1, axiom, ( ( _u165 != _u166) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u167, tc_HOL_Obool)), _u166), _u165)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_equalityD1 ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_equalityD1-1, axiom, ( ( _u168 != _u169) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u170, tc_HOL_Obool)), _u168), _u169)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_set__eq__subset ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_set__eq__subset-1, axiom, ( ( _u174 != _u176) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u178, tc_HOL_Obool)), _u174), _u176)) )).
% 39.81/40.04 cnf(fact_set__eq__subset-2, axiom, ( ( _u174 != _u176) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u178, tc_HOL_Obool)), _u176), _u174)) )).
% 39.81/40.04 cnf(fact_set__eq__subset-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u179, tc_HOL_Obool)), _u175), _u177)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u179, tc_HOL_Obool)), _u177), _u175)) | ( _u175 = _u177) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_subset__refl ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_subset__refl-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u180, tc_HOL_Obool)), _u181), _u181)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_bot__least ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_bot__least-1, axiom, ( ~class_Orderings_Obot(_u182) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u182), c_Orderings_Obot__class_Obot(_u182)), _u183)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_le__funE ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_le__funE-1, axiom, ( ~class_Orderings_Oord(_u184) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u185, _u184)), _u186), _u187)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u184), hAPP(_u186, _u188)), hAPP(_u187, _u188))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_le__funD ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_le__funD-1, axiom, ( ~class_Orderings_Oord(_u189) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u190, _u189)), _u191), _u192)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u189), hAPP(_u191, _u193)), hAPP(_u192, _u193))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_le__fun__def ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_le__fun__def-1, axiom, ( ~class_Orderings_Oord(_u196) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u197, _u196)), _u198), _u199)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u196), hAPP(_u198, _u194)), hAPP(_u199, _u194))) )).
% 39.81/40.04 cnf(fact_le__fun__def-2, axiom, ( ~class_Orderings_Oord(_u196) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u196), hAPP(_u198, skolem2(_u199, _u198, _u197, _u196))), hAPP(_u199, skolem2(_u199, _u198, _u197, _u196)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u197, _u196)), _u198), _u199)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_bot__apply ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_bot__apply-1, axiom, ( ~class_Orderings_Obot(_u200) | ( hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u201, _u200)), _u202) = c_Orderings_Obot__class_Obot(_u200)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_singleton__inject ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_singleton__inject-1, axiom, ( ( _u204 = _u205) | ( hAPP(hAPP(c_Set_Oinsert(_u203), _u204), c_Orderings_Obot__class_Obot(tc_fun(_u203, tc_HOL_Obool))) != hAPP(hAPP(c_Set_Oinsert(_u203), _u205), c_Orderings_Obot__class_Obot(tc_fun(_u203, tc_HOL_Obool)))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_doubleton__eq__iff ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_doubleton__eq__iff-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u211), _u213), hAPP(hAPP(c_Set_Oinsert(_u211), _u215), c_Orderings_Obot__class_Obot(tc_fun(_u211, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u211), _u217), hAPP(hAPP(c_Set_Oinsert(_u211), _u219), c_Orderings_Obot__class_Obot(tc_fun(_u211, tc_HOL_Obool))))) | ( _u213 = _u217) | ( _u213 = _u219) )).
% 39.81/40.04 cnf(fact_doubleton__eq__iff-2, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u211), _u213), hAPP(hAPP(c_Set_Oinsert(_u211), _u215), c_Orderings_Obot__class_Obot(tc_fun(_u211, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u211), _u217), hAPP(hAPP(c_Set_Oinsert(_u211), _u219), c_Orderings_Obot__class_Obot(tc_fun(_u211, tc_HOL_Obool))))) | ( _u213 = _u217) | ( _u215 = _u217) )).
% 39.81/40.04 cnf(fact_doubleton__eq__iff-3, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u211), _u213), hAPP(hAPP(c_Set_Oinsert(_u211), _u215), c_Orderings_Obot__class_Obot(tc_fun(_u211, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u211), _u217), hAPP(hAPP(c_Set_Oinsert(_u211), _u219), c_Orderings_Obot__class_Obot(tc_fun(_u211, tc_HOL_Obool))))) | ( _u215 = _u219) | ( _u213 = _u219) )).
% 39.81/40.04 cnf(fact_doubleton__eq__iff-4, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u211), _u213), hAPP(hAPP(c_Set_Oinsert(_u211), _u215), c_Orderings_Obot__class_Obot(tc_fun(_u211, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u211), _u217), hAPP(hAPP(c_Set_Oinsert(_u211), _u219), c_Orderings_Obot__class_Obot(tc_fun(_u211, tc_HOL_Obool))))) | ( _u215 = _u219) | ( _u215 = _u217) )).
% 39.81/40.04 cnf(fact_doubleton__eq__iff-5, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u212), _u214), hAPP(hAPP(c_Set_Oinsert(_u212), _u216), c_Orderings_Obot__class_Obot(tc_fun(_u212, tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(_u212), _u218), hAPP(hAPP(c_Set_Oinsert(_u212), _u220), c_Orderings_Obot__class_Obot(tc_fun(_u212, tc_HOL_Obool))))) | ( _u214 != _u218) | ( _u216 != _u220) )).
% 39.81/40.04 cnf(fact_doubleton__eq__iff-6, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u212), _u214), hAPP(hAPP(c_Set_Oinsert(_u212), _u216), c_Orderings_Obot__class_Obot(tc_fun(_u212, tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(_u212), _u218), hAPP(hAPP(c_Set_Oinsert(_u212), _u220), c_Orderings_Obot__class_Obot(tc_fun(_u212, tc_HOL_Obool))))) | ( _u214 != _u220) | ( _u216 != _u218) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_insert__not__empty ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_insert__not__empty-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u221), _u222), _u223) != c_Orderings_Obot__class_Obot(tc_fun(_u221, tc_HOL_Obool))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_the__elem__eq ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_the__elem__eq-1, axiom, ( ( c_Set_Othe__elem(_u224, hAPP(hAPP(c_Set_Oinsert(_u224), _u225), c_Orderings_Obot__class_Obot(tc_fun(_u224, tc_HOL_Obool)))) = _u225) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_escape ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_escape-1, axiom, ( c_Hoare__Mirabelle_Ohoare__derivs(_u229, _u230, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u229)), c_Hoare__Mirabelle_Otriple_Otriple(_u229, _u228, _u231, _u232)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u229), tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(_u228, skolem3(_u232, _u231, _u230, _u229, _u228)), skolem4(_u232, _u231, _u230, _u229, _u228))) )).
% 39.81/40.04 cnf(fact_escape-2, axiom, ( c_Hoare__Mirabelle_Ohoare__derivs(_u229, _u230, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u229)), c_Hoare__Mirabelle_Otriple_Otriple(_u229, _u228, _u231, _u232)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u229), tc_HOL_Obool)))) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u229, _u230, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u229)), c_Hoare__Mirabelle_Otriple_Otriple(_u229, hAPP(c_COMBK(tc_fun(tc_Com_Ostate, tc_HOL_Obool), _u229), hAPP(hAPP(c_COMBC(tc_Com_Ostate, tc_Com_Ostate, tc_HOL_Obool), c_fequal), skolem4(_u232, _u231, _u230, _u229, _u228))), _u231, hAPP(c_COMBK(tc_fun(tc_Com_Ostate, tc_HOL_Obool), _u229), hAPP(_u232, skolem3(_u232, _u231, _u230, _u229, _u228))))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u229), tc_HOL_Obool)))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_conseq1 ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_conseq1-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u235, _u236, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u235)), c_Hoare__Mirabelle_Otriple_Otriple(_u235, _u237, _u238, _u239)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u235), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u235, _u236, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u235)), c_Hoare__Mirabelle_Otriple_Otriple(_u235, _u240, _u238, _u239)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u235), tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(_u240, skolem5(_u240, _u239, _u238, _u237, _u236, _u235)), skolem6(_u240, _u239, _u238, _u237, _u236, _u235))) )).
% 39.81/40.04 cnf(fact_conseq1-2, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u235, _u236, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u235)), c_Hoare__Mirabelle_Otriple_Otriple(_u235, _u237, _u238, _u239)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u235), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u235, _u236, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u235)), c_Hoare__Mirabelle_Otriple_Otriple(_u235, _u240, _u238, _u239)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u235), tc_HOL_Obool)))) | ~hBOOL(hAPP(hAPP(_u237, skolem5(_u240, _u239, _u238, _u237, _u236, _u235)), skolem6(_u240, _u239, _u238, _u237, _u236, _u235))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_conseq2 ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_conseq2-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u243, _u244, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u243)), c_Hoare__Mirabelle_Otriple_Otriple(_u243, _u245, _u246, _u247)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u243), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u243, _u244, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u243)), c_Hoare__Mirabelle_Otriple_Otriple(_u243, _u245, _u246, _u248)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u243), tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(_u247, skolem7(_u248, _u247, _u246, _u245, _u244, _u243)), skolem8(_u248, _u247, _u246, _u245, _u244, _u243))) )).
% 39.81/40.04 cnf(fact_conseq2-2, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u243, _u244, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u243)), c_Hoare__Mirabelle_Otriple_Otriple(_u243, _u245, _u246, _u247)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u243), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u243, _u244, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u243)), c_Hoare__Mirabelle_Otriple_Otriple(_u243, _u245, _u246, _u248)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u243), tc_HOL_Obool)))) | ~hBOOL(hAPP(hAPP(_u248, skolem7(_u248, _u247, _u246, _u245, _u244, _u243)), skolem8(_u248, _u247, _u246, _u245, _u244, _u243))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_Comp ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_Comp-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u249, _u250, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u249)), c_Hoare__Mirabelle_Otriple_Otriple(_u249, _u251, _u252, _u253)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u249), tc_HOL_Obool)))) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u249, _u250, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u249)), c_Hoare__Mirabelle_Otriple_Otriple(_u249, _u253, _u254, _u255)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u249), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u249, _u250, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u249)), c_Hoare__Mirabelle_Otriple_Otriple(_u249, _u251, c_Com_Ocom_OSemi(_u252, _u254), _u255)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u249), tc_HOL_Obool)))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_LoopF ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_LoopF-1, axiom, ( c_Hoare__Mirabelle_Ohoare__derivs(_u256, _u257, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u256)), c_Hoare__Mirabelle_Otriple_Otriple(_u256, hAPP(hAPP(c_COMBC(_u256, 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)), _u256), 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)), _u256), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Com_Ostate), c_fconj)), _u258))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Com_Ostate), c_fNot), _u259)), c_Com_Ocom_OWhile(_u259, _u260), _u258)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u256), tc_HOL_Obool)))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_predicate1D ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_predicate1D-1, axiom, ( ~hBOOL(hAPP(_u262, _u264)) | hBOOL(hAPP(_u263, _u264)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u261, tc_HOL_Obool)), _u262), _u263)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_rev__predicate1D ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_rev__predicate1D-1, axiom, ( ~hBOOL(hAPP(_u265, _u266)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u267, tc_HOL_Obool)), _u265), _u268)) | hBOOL(hAPP(_u268, _u266)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_conseq12 ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_conseq12-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u273, _u274, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u273)), c_Hoare__Mirabelle_Otriple_Otriple(_u273, _u275, _u276, _u277)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u273), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u273, _u274, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u273)), c_Hoare__Mirabelle_Otriple_Otriple(_u273, _u278, _u276, _u279)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u273), tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(_u278, skolem9(_u279, _u278, _u277, _u276, _u275, _u274, _u273)), skolem10(_u279, _u278, _u277, _u276, _u275, _u274, _u273))) )).
% 39.81/40.04 cnf(fact_conseq12-2, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u273, _u274, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u273)), c_Hoare__Mirabelle_Otriple_Otriple(_u273, _u275, _u276, _u277)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u273), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u273, _u274, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u273)), c_Hoare__Mirabelle_Otriple_Otriple(_u273, _u278, _u276, _u279)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u273), tc_HOL_Obool)))) | ~hBOOL(hAPP(hAPP(_u275, _u269), skolem10(_u279, _u278, _u277, _u276, _u275, _u274, _u273))) | hBOOL(hAPP(hAPP(_u277, _u269), skolem11(_u279, _u278, _u277, _u276, _u275, _u274, _u273))) )).
% 39.81/40.04 cnf(fact_conseq12-3, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u273, _u274, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u273)), c_Hoare__Mirabelle_Otriple_Otriple(_u273, _u275, _u276, _u277)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u273), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u273, _u274, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u273)), c_Hoare__Mirabelle_Otriple_Otriple(_u273, _u278, _u276, _u279)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u273), tc_HOL_Obool)))) | ~hBOOL(hAPP(hAPP(_u279, skolem9(_u279, _u278, _u277, _u276, _u275, _u274, _u273)), skolem11(_u279, _u278, _u277, _u276, _u275, _u274, _u273))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_hoare__derivs_Oequations_I8_J ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_hoare__derivs_Oequations_I8_J-1, axiom, ( c_Hoare__Mirabelle_Ohoare__derivs(_u280, _u281, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u280)), c_Hoare__Mirabelle_Otriple_Otriple(_u280, hAPP(hAPP(c_COMBC(_u280, tc_fun(tc_Com_Ostate, tc_Com_Ostate), tc_fun(tc_Com_Ostate, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate, tc_HOL_Obool), tc_fun(tc_fun(tc_Com_Ostate, tc_Com_Ostate), tc_fun(tc_Com_Ostate, tc_HOL_Obool)), _u280), c_COMBB(tc_Com_Ostate, tc_HOL_Obool, tc_Com_Ostate)), _u282)), hAPP(hAPP(c_COMBS(tc_Com_Ostate, tc_Nat_Onat, tc_Com_Ostate), hAPP(hAPP(c_COMBC(tc_Com_Ostate, tc_Com_Ovname, tc_fun(tc_Nat_Onat, tc_Com_Ostate)), c_Natural_Oupdate), _u283)), _u284)), c_Com_Ocom_OAss(_u283, _u284), _u282)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u280), tc_HOL_Obool)))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_Ass ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_Ass-1, axiom, ( c_Hoare__Mirabelle_Ohoare__derivs(_u285, _u286, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u285)), c_Hoare__Mirabelle_Otriple_Otriple(_u285, hAPP(hAPP(c_COMBC(_u285, tc_fun(tc_Com_Ostate, tc_Com_Ostate), tc_fun(tc_Com_Ostate, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate, tc_HOL_Obool), tc_fun(tc_fun(tc_Com_Ostate, tc_Com_Ostate), tc_fun(tc_Com_Ostate, tc_HOL_Obool)), _u285), c_COMBB(tc_Com_Ostate, tc_HOL_Obool, tc_Com_Ostate)), _u287)), hAPP(hAPP(c_COMBS(tc_Com_Ostate, tc_Nat_Onat, tc_Com_Ostate), hAPP(hAPP(c_COMBC(tc_Com_Ostate, tc_Com_Ovname, tc_fun(tc_Nat_Onat, tc_Com_Ostate)), c_Natural_Oupdate), _u288)), _u289)), c_Com_Ocom_OAss(_u288, _u289), _u287)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u285), tc_HOL_Obool)))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_order__fun_I1_J ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_order__fun_I1_J-1, axiom, ( ~class_Orderings_Oorder(_u290) | ~class_Enum_Oenum(_u291) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u291, _u290)), _u292), _u293)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u291), hAPP(hAPP(c_COMBS(_u291, _u290, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u290, tc_fun(_u290, tc_HOL_Obool), _u291), c_Orderings_Oord__class_Oless__eq(_u290)), _u292)), _u293))) )).
% 39.81/40.04 cnf(fact_order__fun_I1_J-2, axiom, ( ~class_Orderings_Oorder(_u290) | ~class_Enum_Oenum(_u291) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u291), hAPP(hAPP(c_COMBS(_u291, _u290, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u290, tc_fun(_u290, tc_HOL_Obool), _u291), c_Orderings_Oord__class_Oless__eq(_u290)), _u292)), _u293))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u291, _u290)), _u292), _u293)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_all__code ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_all__code-1, axiom, ( ~class_Enum_Oenum(_u296) | ~hBOOL(hAPP(_u297, skolem12(_u297, _u296))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u296), _u297)) )).
% 39.81/40.04 cnf(fact_all__code-2, axiom, ( ~class_Enum_Oenum(_u296) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u296), _u297)) | hBOOL(hAPP(_u297, _u295)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_enum__all ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_enum__all-1, axiom, ( ~class_Enum_Oenum(_u300) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u300), _u301)) | hBOOL(hAPP(_u301, _u298)) )).
% 39.81/40.04 cnf(fact_enum__all-2, axiom, ( ~class_Enum_Oenum(_u300) | ~hBOOL(hAPP(_u301, skolem13(_u301, _u300))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u300), _u301)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_com_Osimps_I12_J ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_com_Osimps_I12_J-1, axiom, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(_u302, _u303)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_com_Osimps_I13_J ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_com_Osimps_I13_J-1, axiom, ( ( c_Com_Ocom_OSemi(_u304, _u305) != c_Com_Ocom_OSKIP) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_com_Osimps_I8_J ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_com_Osimps_I8_J-1, axiom, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OAss(_u306, _u307)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_com_Osimps_I9_J ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_com_Osimps_I9_J-1, axiom, ( ( c_Com_Ocom_OAss(_u308, _u309) != c_Com_Ocom_OSKIP) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_com_Osimps_I25_J ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_com_Osimps_I25_J-1, axiom, ( ( c_Com_Ocom_OSemi(_u310, _u311) != c_Com_Ocom_OAss(_u312, _u313)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_com_Osimps_I24_J ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_com_Osimps_I24_J-1, axiom, ( ( c_Com_Ocom_OAss(_u314, _u315) != c_Com_Ocom_OSemi(_u316, _u317)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_com_Osimps_I16_J ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_com_Osimps_I16_J-1, axiom, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OWhile(_u318, _u319)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_com_Osimps_I17_J ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_com_Osimps_I17_J-1, axiom, ( ( c_Com_Ocom_OWhile(_u320, _u321) != c_Com_Ocom_OSKIP) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_com_Osimps_I47_J ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_com_Osimps_I47_J-1, axiom, ( ( c_Com_Ocom_OWhile(_u322, _u323) != c_Com_Ocom_OSemi(_u324, _u325)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_com_Osimps_I46_J ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_com_Osimps_I46_J-1, axiom, ( ( c_Com_Ocom_OSemi(_u326, _u327) != c_Com_Ocom_OWhile(_u328, _u329)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_com_Osimps_I29_J ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_com_Osimps_I29_J-1, axiom, ( ( c_Com_Ocom_OWhile(_u330, _u331) != c_Com_Ocom_OAss(_u332, _u333)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_com_Osimps_I28_J ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_com_Osimps_I28_J-1, axiom, ( ( c_Com_Ocom_OAss(_u334, _u335) != c_Com_Ocom_OWhile(_u336, _u337)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_com_Osimps_I5_J ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_com_Osimps_I5_J-1, axiom, ( ( c_Com_Ocom_OWhile(_u342, _u344) != c_Com_Ocom_OWhile(_u346, _u348)) | ( _u342 = _u346) )).
% 39.81/40.04 cnf(fact_com_Osimps_I5_J-2, axiom, ( ( c_Com_Ocom_OWhile(_u342, _u344) != c_Com_Ocom_OWhile(_u346, _u348)) | ( _u344 = _u348) )).
% 39.81/40.04 cnf(fact_com_Osimps_I5_J-3, axiom, ( ( _u343 != _u347) | ( _u345 != _u349) | ( c_Com_Ocom_OWhile(_u343, _u345) = c_Com_Ocom_OWhile(_u347, _u349)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_com_Osimps_I1_J ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_com_Osimps_I1_J-1, axiom, ( ( c_Com_Ocom_OAss(_u354, _u356) != c_Com_Ocom_OAss(_u358, _u360)) | ( _u354 = _u358) )).
% 39.81/40.04 cnf(fact_com_Osimps_I1_J-2, axiom, ( ( c_Com_Ocom_OAss(_u354, _u356) != c_Com_Ocom_OAss(_u358, _u360)) | ( _u356 = _u360) )).
% 39.81/40.04 cnf(fact_com_Osimps_I1_J-3, axiom, ( ( _u355 != _u359) | ( _u357 != _u361) | ( c_Com_Ocom_OAss(_u355, _u357) = c_Com_Ocom_OAss(_u359, _u361)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_com_Osimps_I3_J ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_com_Osimps_I3_J-1, axiom, ( ( c_Com_Ocom_OSemi(_u366, _u368) != c_Com_Ocom_OSemi(_u370, _u372)) | ( _u366 = _u370) )).
% 39.81/40.04 cnf(fact_com_Osimps_I3_J-2, axiom, ( ( c_Com_Ocom_OSemi(_u366, _u368) != c_Com_Ocom_OSemi(_u370, _u372)) | ( _u368 = _u372) )).
% 39.81/40.04 cnf(fact_com_Osimps_I3_J-3, axiom, ( ( _u367 != _u371) | ( _u369 != _u373) | ( c_Com_Ocom_OSemi(_u367, _u369) = c_Com_Ocom_OSemi(_u371, _u373)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_the__elem__def ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_the__elem__def-1, axiom, ( ( c_Set_Othe__elem(_u374, _u375) = c_HOL_OThe(_u374, hAPP(hAPP(c_COMBB(tc_fun(_u374, tc_HOL_Obool), tc_HOL_Obool, _u374), hAPP(c_fequal, _u375)), hAPP(hAPP(c_COMBC(_u374, tc_fun(_u374, tc_HOL_Obool), tc_fun(_u374, tc_HOL_Obool)), c_Set_Oinsert(_u374)), c_Orderings_Obot__class_Obot(tc_fun(_u374, tc_HOL_Obool)))))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_Loop ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_Loop-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u376, _u377, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u376)), c_Hoare__Mirabelle_Otriple_Otriple(_u376, c_Hoare__Mirabelle_Opeek__and(_u376, _u378, _u379), _u380, _u378)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u376), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u376, _u377, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u376)), c_Hoare__Mirabelle_Otriple_Otriple(_u376, _u378, c_Com_Ocom_OWhile(_u379, _u380), c_Hoare__Mirabelle_Opeek__and(_u376, _u378, hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, tc_Com_Ostate, c_fNot), _u379)))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u376), tc_HOL_Obool)))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_Powp__mono ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_Powp__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u381, tc_HOL_Obool)), _u382), _u383)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u381, tc_HOL_Obool), tc_HOL_Obool)), c_Predicate_OPowp(_u381, _u382)), c_Predicate_OPowp(_u381, _u383))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_Least__le ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_Least__le-1, axiom, ( ~class_Orderings_Owellorder(_u384) | ~hBOOL(hAPP(_u385, _u386)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u384), c_Orderings_Oord__class_OLeast(_u384, _u385)), _u386)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_le__funI ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_le__funI-1, axiom, ( ~class_Orderings_Oord(_u388) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u388), hAPP(_u389, skolem14(_u391, _u390, _u389, _u388))), hAPP(_u390, skolem14(_u391, _u390, _u389, _u388)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u391, _u388)), _u389), _u390)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_inv__imagep__def ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_inv__imagep__def-1, axiom, ( hBOOL(hAPP(hAPP(_u402, hAPP(_u404, _u406)), hAPP(_u404, _u408))) | ~c_Predicate_Oinv__imagep(_u398, _u400, _u402, _u404, _u406, _u408) )).
% 39.81/40.04 cnf(fact_inv__imagep__def-2, axiom, ( ~hBOOL(hAPP(hAPP(_u403, hAPP(_u405, _u407)), hAPP(_u405, _u409))) | c_Predicate_Oinv__imagep(_u399, _u401, _u403, _u405, _u407, _u409) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_com_Osimps_I64_J ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_com_Osimps_I64_J-1, axiom, ( ( c_Com_Ocom_Ocom__case(_u410, _u411, _u412, _u413, _u414, _u415, _u416, _u417, _u418, c_Com_Ocom_OSKIP) = _u411) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_com_Osimps_I67_J ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_com_Osimps_I67_J-1, axiom, ( ( c_Com_Ocom_Ocom__case(_u419, _u420, _u421, _u422, _u423, _u424, _u425, _u426, _u427, c_Com_Ocom_OSemi(_u428, _u429)) = hAPP(hAPP(_u423, _u428), _u429)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_com_Osimps_I65_J ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_com_Osimps_I65_J-1, axiom, ( ( c_Com_Ocom_Ocom__case(_u430, _u431, _u432, _u433, _u434, _u435, _u436, _u437, _u438, c_Com_Ocom_OAss(_u439, _u440)) = hAPP(hAPP(_u432, _u439), _u440)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_strict__mono__less__eq ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_strict__mono__less__eq-1, axiom, ( ~class_Orderings_Oorder(_u441) | ~class_Orderings_Olinorder(_u442) | ~c_Orderings_Oorder__class_Ostrict__mono(_u442, _u441, _u443) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u441), hAPP(_u443, _u444)), hAPP(_u443, _u445))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u442), _u444), _u445)) )).
% 39.81/40.04 cnf(fact_strict__mono__less__eq-2, axiom, ( ~class_Orderings_Oorder(_u441) | ~class_Orderings_Olinorder(_u442) | ~c_Orderings_Oorder__class_Ostrict__mono(_u442, _u441, _u443) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u442), _u444), _u445)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u441), hAPP(_u443, _u444)), hAPP(_u443, _u445))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_com_Osimps_I69_J ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_com_Osimps_I69_J-1, axiom, ( ( c_Com_Ocom_Ocom__case(_u446, _u447, _u448, _u449, _u450, _u451, _u452, _u453, _u454, c_Com_Ocom_OWhile(_u455, _u456)) = hAPP(hAPP(_u452, _u455), _u456)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_hoare__derivs_OLocal ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_hoare__derivs_OLocal-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u457, _u458, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u457)), c_Hoare__Mirabelle_Otriple_Otriple(_u457, _u459, _u460, hAPP(hAPP(c_COMBC(_u457, tc_fun(tc_Com_Ostate, tc_Com_Ostate), tc_fun(tc_Com_Ostate, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate, tc_HOL_Obool), tc_fun(tc_fun(tc_Com_Ostate, tc_Com_Ostate), tc_fun(tc_Com_Ostate, tc_HOL_Obool)), _u457), c_COMBB(tc_Com_Ostate, tc_HOL_Obool, tc_Com_Ostate)), _u461)), hAPP(hAPP(c_COMBC(tc_Com_Ostate, tc_Nat_Onat, tc_Com_Ostate), hAPP(hAPP(c_COMBC(tc_Com_Ostate, tc_Com_Ovname, tc_fun(tc_Nat_Onat, tc_Com_Ostate)), c_Natural_Oupdate), c_Com_Ovname_OLoc(_u462))), c_Natural_Ogetlocs(_u463, _u462))))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u457), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u457, _u458, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u457)), c_Hoare__Mirabelle_Otriple_Otriple(_u457, hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate, tc_HOL_Obool), tc_fun(tc_Com_Ostate, tc_HOL_Obool), _u457), hAPP(c_COMBS(tc_Com_Ostate, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Com_Ostate), c_fconj), hAPP(c_fequal, _u463)))), hAPP(hAPP(c_COMBC(_u457, tc_fun(tc_Com_Ostate, tc_Com_Ostate), tc_fun(tc_Com_Ostate, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate, tc_HOL_Obool), tc_fun(tc_fun(tc_Com_Ostate, tc_Com_Ostate), tc_fun(tc_Com_Ostate, tc_HOL_Obool)), _u457), c_COMBB(tc_Com_Ostate, tc_HOL_Obool, tc_Com_Ostate)), _u459)), hAPP(hAPP(c_COMBS(tc_Com_Ostate, tc_Nat_Onat, tc_Com_Ostate), hAPP(hAPP(c_COMBC(tc_Com_Ostate, tc_Com_Ovname, tc_fun(tc_Nat_Onat, tc_Com_Ostate)), c_Natural_Oupdate), c_Com_Ovname_OLoc(_u462))), _u464))), c_Com_Ocom_OLocal(_u462, _u464, _u460), _u461)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u457), tc_HOL_Obool)))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_vname_Osimps_I2_J ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_vname_Osimps_I2_J-1, axiom, ( ( c_Com_Ovname_OLoc(_u467) != c_Com_Ovname_OLoc(_u469)) | ( _u467 = _u469) )).
% 39.81/40.04 cnf(fact_vname_Osimps_I2_J-2, axiom, ( ( _u468 != _u470) | ( c_Com_Ovname_OLoc(_u468) = c_Com_Ovname_OLoc(_u470)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_com_Osimps_I2_J ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_com_Osimps_I2_J-1, axiom, ( ( c_Com_Ocom_OLocal(_u477, _u479, _u481) != c_Com_Ocom_OLocal(_u483, _u485, _u487)) | ( _u477 = _u483) )).
% 39.81/40.04 cnf(fact_com_Osimps_I2_J-2, axiom, ( ( c_Com_Ocom_OLocal(_u477, _u479, _u481) != c_Com_Ocom_OLocal(_u483, _u485, _u487)) | ( _u479 = _u485) )).
% 39.81/40.04 cnf(fact_com_Osimps_I2_J-3, axiom, ( ( c_Com_Ocom_OLocal(_u477, _u479, _u481) != c_Com_Ocom_OLocal(_u483, _u485, _u487)) | ( _u481 = _u487) )).
% 39.81/40.04 cnf(fact_com_Osimps_I2_J-4, axiom, ( ( _u478 != _u484) | ( _u480 != _u486) | ( _u482 != _u488) | ( c_Com_Ocom_OLocal(_u478, _u480, _u482) = c_Com_Ocom_OLocal(_u484, _u486, _u488)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_com_Osimps_I66_J ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_com_Osimps_I66_J-1, axiom, ( ( c_Com_Ocom_Ocom__case(_u489, _u490, _u491, _u492, _u493, _u494, _u495, _u496, _u497, c_Com_Ocom_OLocal(_u498, _u499, _u500)) = hAPP(hAPP(hAPP(_u492, _u498), _u499), _u500)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_LeastI__ex ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_LeastI__ex-1, axiom, ( ~class_Orderings_Owellorder(_u502) | ~hBOOL(hAPP(_u503, _u501)) | hBOOL(hAPP(_u503, c_Orderings_Oord__class_OLeast(_u502, _u503))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_strict__mono__eq ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_strict__mono__eq-1, axiom, ( ~class_Orderings_Oorder(_u504) | ~class_Orderings_Olinorder(_u505) | ~c_Orderings_Oorder__class_Ostrict__mono(_u505, _u504, _u506) | ( hAPP(_u506, _u507) != hAPP(_u506, _u508)) | ( _u507 = _u508) )).
% 39.81/40.04 cnf(fact_strict__mono__eq-2, axiom, ( ~class_Orderings_Oorder(_u504) | ~class_Orderings_Olinorder(_u505) | ~c_Orderings_Oorder__class_Ostrict__mono(_u505, _u504, _u506) | ( _u507 != _u508) | ( hAPP(_u506, _u507) = hAPP(_u506, _u508)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_LeastI ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_LeastI-1, axiom, ( ~class_Orderings_Owellorder(_u509) | ~hBOOL(hAPP(_u510, _u511)) | hBOOL(hAPP(_u510, c_Orderings_Oord__class_OLeast(_u509, _u510))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_in__inv__imagep ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_in__inv__imagep-1, axiom, ( hBOOL(hAPP(hAPP(_u522, hAPP(_u524, _u526)), hAPP(_u524, _u528))) | ~c_Predicate_Oinv__imagep(_u518, _u520, _u522, _u524, _u526, _u528) )).
% 39.81/40.04 cnf(fact_in__inv__imagep-2, axiom, ( ~hBOOL(hAPP(hAPP(_u523, hAPP(_u525, _u527)), hAPP(_u525, _u529))) | c_Predicate_Oinv__imagep(_u519, _u521, _u523, _u525, _u527, _u529) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_peek__and__def ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_peek__and__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Hoare__Mirabelle_Opeek__and(_u535, _u537, _u539), _u541), _u543)) | hBOOL(hAPP(hAPP(_u537, _u541), _u543)) )).
% 39.81/40.04 cnf(fact_peek__and__def-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Hoare__Mirabelle_Opeek__and(_u535, _u537, _u539), _u541), _u543)) | hBOOL(hAPP(_u539, _u543)) )).
% 39.81/40.04 cnf(fact_peek__and__def-3, axiom, ( ~hBOOL(hAPP(hAPP(_u538, _u542), _u544)) | ~hBOOL(hAPP(_u540, _u544)) | hBOOL(hAPP(hAPP(c_Hoare__Mirabelle_Opeek__and(_u536, _u538, _u540), _u542), _u544)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_com_Osimps_I38_J ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_com_Osimps_I38_J-1, axiom, ( ( c_Com_Ocom_OLocal(_u545, _u546, _u547) != c_Com_Ocom_OWhile(_u548, _u549)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_com_Osimps_I39_J ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_com_Osimps_I39_J-1, axiom, ( ( c_Com_Ocom_OWhile(_u550, _u551) != c_Com_Ocom_OLocal(_u552, _u553, _u554)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_com_Osimps_I23_J ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_com_Osimps_I23_J-1, axiom, ( ( c_Com_Ocom_OLocal(_u555, _u556, _u557) != c_Com_Ocom_OAss(_u558, _u559)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_com_Osimps_I22_J ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_com_Osimps_I22_J-1, axiom, ( ( c_Com_Ocom_OAss(_u560, _u561) != c_Com_Ocom_OLocal(_u562, _u563, _u564)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_com_Osimps_I34_J ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_com_Osimps_I34_J-1, axiom, ( ( c_Com_Ocom_OLocal(_u565, _u566, _u567) != c_Com_Ocom_OSemi(_u568, _u569)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_com_Osimps_I35_J ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_com_Osimps_I35_J-1, axiom, ( ( c_Com_Ocom_OSemi(_u570, _u571) != c_Com_Ocom_OLocal(_u572, _u573, _u574)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_com_Osimps_I10_J ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_com_Osimps_I10_J-1, axiom, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OLocal(_u575, _u576, _u577)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_com_Osimps_I11_J ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_com_Osimps_I11_J-1, axiom, ( ( c_Com_Ocom_OLocal(_u578, _u579, _u580) != c_Com_Ocom_OSKIP) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_hoare__derivs_OIf ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_hoare__derivs_OIf-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u581, _u582, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u581)), c_Hoare__Mirabelle_Otriple_Otriple(_u581, c_Hoare__Mirabelle_Opeek__and(_u581, _u583, _u584), _u585, _u586)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u581), tc_HOL_Obool)))) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u581, _u582, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u581)), c_Hoare__Mirabelle_Otriple_Otriple(_u581, c_Hoare__Mirabelle_Opeek__and(_u581, _u583, hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, tc_Com_Ostate, c_fNot), _u584)), _u587, _u586)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u581), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u581, _u582, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u581)), c_Hoare__Mirabelle_Otriple_Otriple(_u581, _u583, c_Com_Ocom_OCond(_u584, _u585, _u587), _u586)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u581), tc_HOL_Obool)))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_enum__the__def ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_enum__the__def-1, axiom, ( ( c_Enum_Oenum__the(_u588, _u589) = c_HOL_OThe(_u588, _u589)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_the__eq__trivial ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_the__eq__trivial-1, axiom, ( ( c_HOL_OThe(_u590, hAPP(hAPP(c_COMBC(_u590, _u590, tc_HOL_Obool), c_fequal), _u591)) = _u591) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_the__sym__eq__trivial ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_the__sym__eq__trivial-1, axiom, ( ( c_HOL_OThe(_u592, hAPP(c_fequal, _u593)) = _u593) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_vname_Orecs_I2_J ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_vname_Orecs_I2_J-1, axiom, ( ( c_Com_Ovname_Ovname__rec(_u594, _u595, _u596, c_Com_Ovname_OLoc(_u597)) = hAPP(_u596, _u597)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_vname_Osimps_I6_J ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_vname_Osimps_I6_J-1, axiom, ( ( c_Com_Ovname_Ovname__case(_u598, _u599, _u600, c_Com_Ovname_OLoc(_u601)) = hAPP(_u600, _u601)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_K__record__comp ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_K__record__comp-1, axiom, ( ( hAPP(hAPP(c_Fun_Ocomp(_u602, _u603, _u604, hAPP(c_COMBK(_u603, _u602), _u605)), _u606), _u607) = _u605) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_o__def ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_o__def-1, axiom, ( ( hAPP(hAPP(c_Fun_Ocomp(_u608, _u609, _u610, _u611), _u612), _u613) = hAPP(_u611, hAPP(_u612, _u613))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_evalc_OLocal ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_evalc_OLocal-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u614), hAPP(hAPP(hAPP(c_Natural_Oupdate, _u615), c_Com_Ovname_OLoc(_u616)), hAPP(_u617, _u615))), _u618)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OLocal(_u616, _u617, _u614)), _u615), hAPP(hAPP(hAPP(c_Natural_Oupdate, _u618), c_Com_Ovname_OLoc(_u616)), c_Natural_Ogetlocs(_u615, _u616)))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_evaln_OLocal ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_evaln_OLocal-1, axiom, ( ~c_Natural_Oevaln(_u619, hAPP(hAPP(hAPP(c_Natural_Oupdate, _u620), c_Com_Ovname_OLoc(_u621)), hAPP(_u622, _u620)), _u623, _u624) | c_Natural_Oevaln(c_Com_Ocom_OLocal(_u621, _u622, _u619), _u620, _u623, hAPP(hAPP(hAPP(c_Natural_Oupdate, _u624), c_Com_Ovname_OLoc(_u621)), c_Natural_Ogetlocs(_u620, _u621))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_o__eq__elim ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_o__eq__elim-1, axiom, ( ( hAPP(_u629, hAPP(_u630, _u625)) = hAPP(_u632, hAPP(_u633, _u625))) | ( hAPP(c_Fun_Ocomp(_u626, _u627, _u628, _u629), _u630) != hAPP(c_Fun_Ocomp(_u631, _u627, _u628, _u632), _u633)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_evaln_OWhileFalse ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_evaln_OWhileFalse-1, axiom, ( hBOOL(hAPP(_u634, _u635)) | c_Natural_Oevaln(c_Com_Ocom_OWhile(_u634, _u636), _u635, _u637, _u635) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_evaln_OWhileTrue ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_evaln_OWhileTrue-1, axiom, ( ~hBOOL(hAPP(_u638, _u639)) | ~c_Natural_Oevaln(_u640, _u639, _u641, _u642) | ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u638, _u640), _u642, _u641, _u643) | c_Natural_Oevaln(c_Com_Ocom_OWhile(_u638, _u640), _u639, _u641, _u643) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_evalc_OWhileFalse ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_evalc_OWhileFalse-1, axiom, ( hBOOL(hAPP(_u644, _u645)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u644, _u646)), _u645), _u645)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_evalc_OWhileTrue ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_evalc_OWhileTrue-1, axiom, ( ~hBOOL(hAPP(_u647, _u648)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u649), _u648), _u650)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u647, _u649)), _u650), _u651)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u647, _u649)), _u648), _u651)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_evaln_OIfFalse ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_evaln_OIfFalse-1, axiom, ( hBOOL(hAPP(_u652, _u653)) | ~c_Natural_Oevaln(_u654, _u653, _u655, _u656) | c_Natural_Oevaln(c_Com_Ocom_OCond(_u652, _u657, _u654), _u653, _u655, _u656) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_evaln_OIfTrue ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_evaln_OIfTrue-1, axiom, ( ~hBOOL(hAPP(_u658, _u659)) | ~c_Natural_Oevaln(_u660, _u659, _u661, _u662) | c_Natural_Oevaln(c_Com_Ocom_OCond(_u658, _u660, _u663), _u659, _u661, _u662) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_evaln__elim__cases_I5_J ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_evaln__elim__cases_I5_J-1, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u664, _u665, _u666), _u667, _u668, _u669) | hBOOL(hAPP(_u664, _u667)) | c_Natural_Oevaln(_u666, _u667, _u668, _u669) )).
% 39.81/40.04 cnf(fact_evaln__elim__cases_I5_J-2, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u664, _u665, _u666), _u667, _u668, _u669) | c_Natural_Oevaln(_u665, _u667, _u668, _u669) | ~hBOOL(hAPP(_u664, _u667)) )).
% 39.81/40.04 cnf(fact_evaln__elim__cases_I5_J-3, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u664, _u665, _u666), _u667, _u668, _u669) | c_Natural_Oevaln(_u665, _u667, _u668, _u669) | c_Natural_Oevaln(_u666, _u667, _u668, _u669) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_evalc_OIfFalse ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_evalc_OIfFalse-1, axiom, ( hBOOL(hAPP(_u670, _u671)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u672), _u671), _u673)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u670, _u674, _u672)), _u671), _u673)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_evalc_OIfTrue ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_evalc_OIfTrue-1, axiom, ( ~hBOOL(hAPP(_u675, _u676)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u677), _u676), _u678)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u675, _u677, _u679)), _u676), _u678)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_evalc__elim__cases_I5_J ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_evalc__elim__cases_I5_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u680, _u681, _u682)), _u683), _u684)) | hBOOL(hAPP(_u680, _u683)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u682), _u683), _u684)) )).
% 39.81/40.04 cnf(fact_evalc__elim__cases_I5_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u680, _u681, _u682)), _u683), _u684)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u681), _u683), _u684)) | ~hBOOL(hAPP(_u680, _u683)) )).
% 39.81/40.04 cnf(fact_evalc__elim__cases_I5_J-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u680, _u681, _u682)), _u683), _u684)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u681), _u683), _u684)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u682), _u683), _u684)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_evaln_OSemi ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_evaln_OSemi-1, axiom, ( ~c_Natural_Oevaln(_u685, _u686, _u687, _u688) | ~c_Natural_Oevaln(_u689, _u688, _u687, _u690) | c_Natural_Oevaln(c_Com_Ocom_OSemi(_u685, _u689), _u686, _u687, _u690) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_evaln__elim__cases_I1_J ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_evaln__elim__cases_I1_J-1, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OSKIP, _u691, _u692, _u693) | ( _u693 = _u691) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_evaln_OSkip ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_evaln_OSkip-1, axiom, ( c_Natural_Oevaln(c_Com_Ocom_OSKIP, _u694, _u695, _u694) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_evalc_OSemi ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_evalc_OSemi-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u696), _u697), _u698)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u699), _u698), _u700)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(_u696, _u699)), _u697), _u700)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_evalc__elim__cases_I1_J ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_evalc__elim__cases_I1_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP), _u701), _u702)) | ( _u702 = _u701) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_evalc_OSkip ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_evalc_OSkip-1, axiom, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP), _u703), _u703)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_evaln_OAssign ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_evaln_OAssign-1, axiom, ( c_Natural_Oevaln(c_Com_Ocom_OAss(_u704, _u705), _u706, _u707, hAPP(hAPP(hAPP(c_Natural_Oupdate, _u706), _u704), hAPP(_u705, _u706))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_evaln__elim__cases_I2_J ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_evaln__elim__cases_I2_J-1, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OAss(_u708, _u709), _u710, _u711, _u712) | ( _u712 = hAPP(hAPP(hAPP(c_Natural_Oupdate, _u710), _u708), hAPP(_u709, _u710))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_evalc_OAssign ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_evalc_OAssign-1, axiom, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OAss(_u713, _u714)), _u715), hAPP(hAPP(hAPP(c_Natural_Oupdate, _u715), _u713), hAPP(_u714, _u715)))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_evalc__elim__cases_I2_J ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_evalc__elim__cases_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OAss(_u716, _u717)), _u718), _u719)) | ( _u719 = hAPP(hAPP(hAPP(c_Natural_Oupdate, _u718), _u716), hAPP(_u717, _u718))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_evaln__nonstrict ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_evaln__nonstrict-1, axiom, ( ~c_Natural_Oevaln(_u720, _u721, _u722, _u723) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u722), _u724)) | c_Natural_Oevaln(_u720, _u721, _u724, _u723) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_eval__eq ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_eval__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u730), _u732), _u734)) | c_Natural_Oevaln(_u730, _u732, skolem15(_u734, _u732, _u730), _u734) )).
% 39.81/40.04 cnf(fact_eval__eq-2, axiom, ( ~c_Natural_Oevaln(_u731, _u733, _u726, _u735) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u731), _u733), _u735)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_evalc_Oequations_I5_J ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_evalc_Oequations_I5_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u741, _u743, _u745)), _u747), _u749)) | hBOOL(hAPP(_u741, _u747)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u745), _u747), _u749)) )).
% 39.81/40.04 cnf(fact_evalc_Oequations_I5_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u741, _u743, _u745)), _u747), _u749)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u743), _u747), _u749)) | ~hBOOL(hAPP(_u741, _u747)) )).
% 39.81/40.04 cnf(fact_evalc_Oequations_I5_J-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u741, _u743, _u745)), _u747), _u749)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u743), _u747), _u749)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u745), _u747), _u749)) )).
% 39.81/40.04 cnf(fact_evalc_Oequations_I5_J-4, axiom, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u742, _u744, _u746)), _u748), _u750)) | ~hBOOL(hAPP(_u742, _u748)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u744), _u748), _u750)) )).
% 39.81/40.04 cnf(fact_evalc_Oequations_I5_J-5, axiom, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u742, _u744, _u746)), _u748), _u750)) | hBOOL(hAPP(_u742, _u748)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u746), _u748), _u750)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_evalc_Oequations_I6_J ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_evalc_Oequations_I6_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u756, _u758, _u760)), _u762), _u764)) | hBOOL(hAPP(_u756, _u762)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u760), _u762), _u764)) )).
% 39.81/40.04 cnf(fact_evalc_Oequations_I6_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u756, _u758, _u760)), _u762), _u764)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u758), _u762), _u764)) | ~hBOOL(hAPP(_u756, _u762)) )).
% 39.81/40.04 cnf(fact_evalc_Oequations_I6_J-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u756, _u758, _u760)), _u762), _u764)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u758), _u762), _u764)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u760), _u762), _u764)) )).
% 39.81/40.04 cnf(fact_evalc_Oequations_I6_J-4, axiom, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u757, _u759, _u761)), _u763), _u765)) | ~hBOOL(hAPP(_u757, _u763)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u759), _u763), _u765)) )).
% 39.81/40.04 cnf(fact_evalc_Oequations_I6_J-5, axiom, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u757, _u759, _u761)), _u763), _u765)) | hBOOL(hAPP(_u757, _u763)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u761), _u763), _u765)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_evaln_Oequations_I5_J ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_evaln_Oequations_I5_J-1, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u772, _u774, _u776), _u778, _u780, _u782) | hBOOL(hAPP(_u772, _u778)) | c_Natural_Oevaln(_u776, _u778, _u780, _u782) )).
% 39.81/40.04 cnf(fact_evaln_Oequations_I5_J-2, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u772, _u774, _u776), _u778, _u780, _u782) | c_Natural_Oevaln(_u774, _u778, _u780, _u782) | ~hBOOL(hAPP(_u772, _u778)) )).
% 39.81/40.04 cnf(fact_evaln_Oequations_I5_J-3, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u772, _u774, _u776), _u778, _u780, _u782) | c_Natural_Oevaln(_u774, _u778, _u780, _u782) | c_Natural_Oevaln(_u776, _u778, _u780, _u782) )).
% 39.81/40.04 cnf(fact_evaln_Oequations_I5_J-4, axiom, ( c_Natural_Oevaln(c_Com_Ocom_OCond(_u773, _u775, _u777), _u779, _u781, _u783) | ~hBOOL(hAPP(_u773, _u779)) | ~c_Natural_Oevaln(_u775, _u779, _u781, _u783) )).
% 39.81/40.04 cnf(fact_evaln_Oequations_I5_J-5, axiom, ( c_Natural_Oevaln(c_Com_Ocom_OCond(_u773, _u775, _u777), _u779, _u781, _u783) | hBOOL(hAPP(_u773, _u779)) | ~c_Natural_Oevaln(_u777, _u779, _u781, _u783) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_evaln_Oequations_I6_J ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_evaln_Oequations_I6_J-1, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u790, _u792, _u794), _u796, _u798, _u800) | hBOOL(hAPP(_u790, _u796)) | c_Natural_Oevaln(_u794, _u796, _u798, _u800) )).
% 39.81/40.04 cnf(fact_evaln_Oequations_I6_J-2, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u790, _u792, _u794), _u796, _u798, _u800) | c_Natural_Oevaln(_u792, _u796, _u798, _u800) | ~hBOOL(hAPP(_u790, _u796)) )).
% 39.81/40.04 cnf(fact_evaln_Oequations_I6_J-3, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u790, _u792, _u794), _u796, _u798, _u800) | c_Natural_Oevaln(_u792, _u796, _u798, _u800) | c_Natural_Oevaln(_u794, _u796, _u798, _u800) )).
% 39.81/40.04 cnf(fact_evaln_Oequations_I6_J-4, axiom, ( c_Natural_Oevaln(c_Com_Ocom_OCond(_u791, _u793, _u795), _u797, _u799, _u801) | ~hBOOL(hAPP(_u791, _u797)) | ~c_Natural_Oevaln(_u793, _u797, _u799, _u801) )).
% 39.81/40.04 cnf(fact_evaln_Oequations_I6_J-5, axiom, ( c_Natural_Oevaln(c_Com_Ocom_OCond(_u791, _u793, _u795), _u797, _u799, _u801) | hBOOL(hAPP(_u791, _u797)) | ~c_Natural_Oevaln(_u795, _u797, _u799, _u801) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_com__det ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_com__det-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u802), _u803), _u804)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u802), _u803), _u805)) | ( _u805 = _u804) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_evaln__evalc ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_evaln__evalc-1, axiom, ( ~c_Natural_Oevaln(_u806, _u807, _u808, _u809) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u806), _u807), _u809)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_com_Osimps_I4_J ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_com_Osimps_I4_J-1, axiom, ( ( c_Com_Ocom_OCond(_u816, _u818, _u820) != c_Com_Ocom_OCond(_u822, _u824, _u826)) | ( _u816 = _u822) )).
% 39.81/40.04 cnf(fact_com_Osimps_I4_J-2, axiom, ( ( c_Com_Ocom_OCond(_u816, _u818, _u820) != c_Com_Ocom_OCond(_u822, _u824, _u826)) | ( _u818 = _u824) )).
% 39.81/40.04 cnf(fact_com_Osimps_I4_J-3, axiom, ( ( c_Com_Ocom_OCond(_u816, _u818, _u820) != c_Com_Ocom_OCond(_u822, _u824, _u826)) | ( _u820 = _u826) )).
% 39.81/40.04 cnf(fact_com_Osimps_I4_J-4, axiom, ( ( _u817 != _u823) | ( _u819 != _u825) | ( _u821 != _u827) | ( c_Com_Ocom_OCond(_u817, _u819, _u821) = c_Com_Ocom_OCond(_u823, _u825, _u827)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_evaln_Oequations_I7_J ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_evaln_Oequations_I7_J-1, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u834, _u836), _u838, _u840, _u838) | ~hBOOL(hAPP(_u834, _u838)) | c_Natural_Oevaln(_u836, _u838, _u840, skolem16(_u840, _u838, _u836, _u834)) )).
% 39.81/40.04 cnf(fact_evaln_Oequations_I7_J-2, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u834, _u836), _u838, _u840, _u838) | ~hBOOL(hAPP(_u834, _u838)) | c_Natural_Oevaln(c_Com_Ocom_OWhile(_u834, _u836), skolem16(_u840, _u838, _u836, _u834), _u840, _u838) )).
% 39.81/40.04 cnf(fact_evaln_Oequations_I7_J-3, axiom, ( c_Natural_Oevaln(c_Com_Ocom_OWhile(_u835, _u837), _u839, _u841, _u839) | hBOOL(hAPP(_u835, _u839)) )).
% 39.81/40.04 cnf(fact_evaln_Oequations_I7_J-4, axiom, ( c_Natural_Oevaln(c_Com_Ocom_OWhile(_u835, _u837), _u839, _u841, _u839) | ~c_Natural_Oevaln(_u837, _u839, _u841, _u829) | ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u835, _u837), _u829, _u841, _u839) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_evaln_Oequations_I8_J ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_evaln_Oequations_I8_J-1, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u849, _u851), _u853, _u855, _u857) | ( _u857 = _u853) | hBOOL(hAPP(_u849, _u853)) )).
% 39.81/40.04 cnf(fact_evaln_Oequations_I8_J-2, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u849, _u851), _u853, _u855, _u857) | ( _u857 = _u853) | c_Natural_Oevaln(_u851, _u853, _u855, skolem17(_u857, _u855, _u853, _u851, _u849)) )).
% 39.81/40.04 cnf(fact_evaln_Oequations_I8_J-3, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u849, _u851), _u853, _u855, _u857) | ( _u857 = _u853) | c_Natural_Oevaln(c_Com_Ocom_OWhile(_u849, _u851), skolem17(_u857, _u855, _u853, _u851, _u849), _u855, _u857) )).
% 39.81/40.04 cnf(fact_evaln_Oequations_I8_J-4, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u849, _u851), _u853, _u855, _u857) | ~hBOOL(hAPP(_u849, _u853)) | c_Natural_Oevaln(_u851, _u853, _u855, skolem17(_u857, _u855, _u853, _u851, _u849)) )).
% 39.81/40.04 cnf(fact_evaln_Oequations_I8_J-5, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u849, _u851), _u853, _u855, _u857) | ~hBOOL(hAPP(_u849, _u853)) | c_Natural_Oevaln(c_Com_Ocom_OWhile(_u849, _u851), skolem17(_u857, _u855, _u853, _u851, _u849), _u855, _u857) )).
% 39.81/40.04 cnf(fact_evaln_Oequations_I8_J-6, axiom, ( c_Natural_Oevaln(c_Com_Ocom_OWhile(_u850, _u852), _u854, _u856, _u858) | ( _u858 != _u854) | hBOOL(hAPP(_u850, _u854)) )).
% 39.81/40.04 cnf(fact_evaln_Oequations_I8_J-7, axiom, ( c_Natural_Oevaln(c_Com_Ocom_OWhile(_u850, _u852), _u854, _u856, _u858) | ~hBOOL(hAPP(_u850, _u854)) | ~c_Natural_Oevaln(_u852, _u854, _u856, _u843) | ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u850, _u852), _u843, _u856, _u858) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_evalc_Oequations_I7_J ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_evalc_Oequations_I7_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u864, _u866)), _u868), _u868)) | ~hBOOL(hAPP(_u864, _u868)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u866), _u868), skolem18(_u868, _u866, _u864))) )).
% 39.81/40.04 cnf(fact_evalc_Oequations_I7_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u864, _u866)), _u868), _u868)) | ~hBOOL(hAPP(_u864, _u868)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u864, _u866)), skolem18(_u868, _u866, _u864)), _u868)) )).
% 39.81/40.04 cnf(fact_evalc_Oequations_I7_J-3, axiom, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u865, _u867)), _u869), _u869)) | hBOOL(hAPP(_u865, _u869)) )).
% 39.81/40.04 cnf(fact_evalc_Oequations_I7_J-4, axiom, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u865, _u867)), _u869), _u869)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u867), _u869), _u860)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u865, _u867)), _u860), _u869)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_evalc_Oequations_I8_J ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_evalc_Oequations_I8_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u876, _u878)), _u880), _u882)) | ( _u882 = _u880) | hBOOL(hAPP(_u876, _u880)) )).
% 39.81/40.04 cnf(fact_evalc_Oequations_I8_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u876, _u878)), _u880), _u882)) | ( _u882 = _u880) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u878), _u880), skolem19(_u882, _u880, _u878, _u876))) )).
% 39.81/40.04 cnf(fact_evalc_Oequations_I8_J-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u876, _u878)), _u880), _u882)) | ( _u882 = _u880) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u876, _u878)), skolem19(_u882, _u880, _u878, _u876)), _u882)) )).
% 39.81/40.04 cnf(fact_evalc_Oequations_I8_J-4, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u876, _u878)), _u880), _u882)) | ~hBOOL(hAPP(_u876, _u880)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u878), _u880), skolem19(_u882, _u880, _u878, _u876))) )).
% 39.81/40.04 cnf(fact_evalc_Oequations_I8_J-5, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u876, _u878)), _u880), _u882)) | ~hBOOL(hAPP(_u876, _u880)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u876, _u878)), skolem19(_u882, _u880, _u878, _u876)), _u882)) )).
% 39.81/40.04 cnf(fact_evalc_Oequations_I8_J-6, axiom, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u877, _u879)), _u881), _u883)) | ( _u883 != _u881) | hBOOL(hAPP(_u877, _u881)) )).
% 39.81/40.04 cnf(fact_evalc_Oequations_I8_J-7, axiom, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u877, _u879)), _u881), _u883)) | ~hBOOL(hAPP(_u877, _u881)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u879), _u881), _u871)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u877, _u879)), _u871), _u883)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_evaln_Oequations_I4_J ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_evaln_Oequations_I4_J-1, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OSemi(_u891, _u893), _u895, _u897, _u899) | c_Natural_Oevaln(_u891, _u895, _u897, skolem20(_u899, _u897, _u895, _u893, _u891)) )).
% 39.81/40.04 cnf(fact_evaln_Oequations_I4_J-2, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OSemi(_u891, _u893), _u895, _u897, _u899) | c_Natural_Oevaln(_u893, skolem20(_u899, _u897, _u895, _u893, _u891), _u897, _u899) )).
% 39.81/40.04 cnf(fact_evaln_Oequations_I4_J-3, axiom, ( ~c_Natural_Oevaln(_u892, _u896, _u898, _u885) | ~c_Natural_Oevaln(_u894, _u885, _u898, _u900) | c_Natural_Oevaln(c_Com_Ocom_OSemi(_u892, _u894), _u896, _u898, _u900) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_evaln_Oequations_I1_J ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_evaln_Oequations_I1_J-1, axiom, ( c_Natural_Oevaln(c_Com_Ocom_OSKIP, _u901, _u902, _u901) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_evalc_Oequations_I4_J ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_evalc_Oequations_I4_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(_u909, _u911)), _u913), _u915)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u909), _u913), skolem21(_u915, _u913, _u911, _u909))) )).
% 39.81/40.04 cnf(fact_evalc_Oequations_I4_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(_u909, _u911)), _u913), _u915)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u911), skolem21(_u915, _u913, _u911, _u909)), _u915)) )).
% 39.81/40.04 cnf(fact_evalc_Oequations_I4_J-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u910), _u914), _u904)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u912), _u904), _u916)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(_u910, _u912)), _u914), _u916)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_evalc_Oequations_I1_J ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_evalc_Oequations_I1_J-1, axiom, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP), _u917), _u917)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_com_Osimps_I53_J ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_com_Osimps_I53_J-1, axiom, ( ( c_Com_Ocom_OWhile(_u918, _u919) != c_Com_Ocom_OCond(_u920, _u921, _u922)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_com_Osimps_I52_J ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_com_Osimps_I52_J-1, axiom, ( ( c_Com_Ocom_OCond(_u923, _u924, _u925) != c_Com_Ocom_OWhile(_u926, _u927)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_evaln_Oequations_I2_J ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_evaln_Oequations_I2_J-1, axiom, ( c_Natural_Oevaln(c_Com_Ocom_OAss(_u928, _u929), _u930, _u931, hAPP(hAPP(hAPP(c_Natural_Oupdate, _u930), _u928), hAPP(_u929, _u930))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_com_Osimps_I26_J ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_com_Osimps_I26_J-1, axiom, ( ( c_Com_Ocom_OAss(_u932, _u933) != c_Com_Ocom_OCond(_u934, _u935, _u936)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_com_Osimps_I27_J ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_com_Osimps_I27_J-1, axiom, ( ( c_Com_Ocom_OCond(_u937, _u938, _u939) != c_Com_Ocom_OAss(_u940, _u941)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_com_Osimps_I44_J ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_com_Osimps_I44_J-1, axiom, ( ( c_Com_Ocom_OSemi(_u942, _u943) != c_Com_Ocom_OCond(_u944, _u945, _u946)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_com_Osimps_I45_J ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_com_Osimps_I45_J-1, axiom, ( ( c_Com_Ocom_OCond(_u947, _u948, _u949) != c_Com_Ocom_OSemi(_u950, _u951)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_com_Osimps_I36_J ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_com_Osimps_I36_J-1, axiom, ( ( c_Com_Ocom_OLocal(_u952, _u953, _u954) != c_Com_Ocom_OCond(_u955, _u956, _u957)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_com_Osimps_I37_J ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_com_Osimps_I37_J-1, axiom, ( ( c_Com_Ocom_OCond(_u958, _u959, _u960) != c_Com_Ocom_OLocal(_u961, _u962, _u963)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_com_Osimps_I15_J ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_com_Osimps_I15_J-1, axiom, ( ( c_Com_Ocom_OCond(_u964, _u965, _u966) != c_Com_Ocom_OSKIP) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_com_Osimps_I14_J ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_com_Osimps_I14_J-1, axiom, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OCond(_u967, _u968, _u969)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_evalc_Oequations_I2_J ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_evalc_Oequations_I2_J-1, axiom, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OAss(_u970, _u971)), _u972), hAPP(hAPP(hAPP(c_Natural_Oupdate, _u972), _u970), hAPP(_u971, _u972)))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_com_Osimps_I68_J ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_com_Osimps_I68_J-1, axiom, ( ( c_Com_Ocom_Ocom__case(_u973, _u974, _u975, _u976, _u977, _u978, _u979, _u980, _u981, c_Com_Ocom_OCond(_u982, _u983, _u984)) = hAPP(hAPP(hAPP(_u978, _u982), _u983), _u984)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_evaln_Oequations_I3_J ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_evaln_Oequations_I3_J-1, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OLocal(_u993, _u995, _u997), _u999, _u1001, hAPP(hAPP(hAPP(c_Natural_Oupdate, _u1003), c_Com_Ovname_OLoc(_u993)), c_Natural_Ogetlocs(_u999, _u993))) | ( hAPP(hAPP(hAPP(c_Natural_Oupdate, _u1003), c_Com_Ovname_OLoc(_u993)), c_Natural_Ogetlocs(_u999, _u993)) = hAPP(hAPP(hAPP(c_Natural_Oupdate, skolem22(_u1003, _u1001, _u999, _u997, _u995, _u993)), c_Com_Ovname_OLoc(_u993)), c_Natural_Ogetlocs(_u999, _u993))) )).
% 39.81/40.04 cnf(fact_evaln_Oequations_I3_J-2, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OLocal(_u993, _u995, _u997), _u999, _u1001, hAPP(hAPP(hAPP(c_Natural_Oupdate, _u1003), c_Com_Ovname_OLoc(_u993)), c_Natural_Ogetlocs(_u999, _u993))) | c_Natural_Oevaln(_u997, hAPP(hAPP(hAPP(c_Natural_Oupdate, _u999), c_Com_Ovname_OLoc(_u993)), hAPP(_u995, _u999)), _u1001, skolem22(_u1003, _u1001, _u999, _u997, _u995, _u993)) )).
% 39.81/40.04 cnf(fact_evaln_Oequations_I3_J-3, axiom, ( ( hAPP(hAPP(hAPP(c_Natural_Oupdate, _u1004), c_Com_Ovname_OLoc(_u994)), c_Natural_Ogetlocs(_u1000, _u994)) != hAPP(hAPP(hAPP(c_Natural_Oupdate, _u986), c_Com_Ovname_OLoc(_u994)), c_Natural_Ogetlocs(_u1000, _u994))) | ~c_Natural_Oevaln(_u998, hAPP(hAPP(hAPP(c_Natural_Oupdate, _u1000), c_Com_Ovname_OLoc(_u994)), hAPP(_u996, _u1000)), _u1002, _u986) | c_Natural_Oevaln(c_Com_Ocom_OLocal(_u994, _u996, _u998), _u1000, _u1002, hAPP(hAPP(hAPP(c_Natural_Oupdate, _u1004), c_Com_Ovname_OLoc(_u994)), c_Natural_Ogetlocs(_u1000, _u994))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_evalc_Oequations_I3_J ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_evalc_Oequations_I3_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OLocal(_u1012, _u1014, _u1016)), _u1018), hAPP(hAPP(hAPP(c_Natural_Oupdate, _u1020), c_Com_Ovname_OLoc(_u1012)), c_Natural_Ogetlocs(_u1018, _u1012)))) | ( hAPP(hAPP(hAPP(c_Natural_Oupdate, _u1020), c_Com_Ovname_OLoc(_u1012)), c_Natural_Ogetlocs(_u1018, _u1012)) = hAPP(hAPP(hAPP(c_Natural_Oupdate, skolem23(_u1020, _u1018, _u1016, _u1014, _u1012)), c_Com_Ovname_OLoc(_u1012)), c_Natural_Ogetlocs(_u1018, _u1012))) )).
% 39.81/40.04 cnf(fact_evalc_Oequations_I3_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OLocal(_u1012, _u1014, _u1016)), _u1018), hAPP(hAPP(hAPP(c_Natural_Oupdate, _u1020), c_Com_Ovname_OLoc(_u1012)), c_Natural_Ogetlocs(_u1018, _u1012)))) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1016), hAPP(hAPP(hAPP(c_Natural_Oupdate, _u1018), c_Com_Ovname_OLoc(_u1012)), hAPP(_u1014, _u1018))), skolem23(_u1020, _u1018, _u1016, _u1014, _u1012))) )).
% 39.81/40.04 cnf(fact_evalc_Oequations_I3_J-3, axiom, ( ( hAPP(hAPP(hAPP(c_Natural_Oupdate, _u1021), c_Com_Ovname_OLoc(_u1013)), c_Natural_Ogetlocs(_u1019, _u1013)) != hAPP(hAPP(hAPP(c_Natural_Oupdate, _u1006), c_Com_Ovname_OLoc(_u1013)), c_Natural_Ogetlocs(_u1019, _u1013))) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1017), hAPP(hAPP(hAPP(c_Natural_Oupdate, _u1019), c_Com_Ovname_OLoc(_u1013)), hAPP(_u1015, _u1019))), _u1006)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OLocal(_u1013, _u1015, _u1017)), _u1019), hAPP(hAPP(hAPP(c_Natural_Oupdate, _u1021), c_Com_Ovname_OLoc(_u1013)), c_Natural_Ogetlocs(_u1019, _u1013)))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_o__assoc ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_o__assoc-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u1022, _u1023, _u1024, _u1025), hAPP(c_Fun_Ocomp(_u1026, _u1022, _u1024, _u1027), _u1028)) = hAPP(c_Fun_Ocomp(_u1026, _u1023, _u1024, hAPP(c_Fun_Ocomp(_u1022, _u1023, _u1026, _u1025), _u1027)), _u1028)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_o__apply ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_o__apply-1, axiom, ( ( hAPP(hAPP(c_Fun_Ocomp(_u1029, _u1030, _u1031, _u1032), _u1033), _u1034) = hAPP(_u1032, hAPP(_u1033, _u1034))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_o__eq__dest__lhs ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_o__eq__dest__lhs-1, axiom, ( ( hAPP(_u1038, hAPP(_u1039, _u1041)) = hAPP(_u1040, _u1041)) | ( hAPP(c_Fun_Ocomp(_u1035, _u1036, _u1037, _u1038), _u1039) != _u1040) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_o__eq__dest ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_o__eq__dest-1, axiom, ( ( hAPP(_u1045, hAPP(_u1046, _u1050)) = hAPP(_u1048, hAPP(_u1049, _u1050))) | ( hAPP(c_Fun_Ocomp(_u1042, _u1043, _u1044, _u1045), _u1046) != hAPP(c_Fun_Ocomp(_u1047, _u1043, _u1044, _u1048), _u1049)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_MGT__def ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_MGT__def-1, axiom, ( ( c_Hoare__Mirabelle_OMGT(_u1051) = c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate, c_fequal, _u1051, c_Natural_Oevalc(_u1051))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_evalc__elim__cases_I3_J ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_evalc__elim__cases_I3_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OLocal(_u1053, _u1054, _u1055)), _u1056), _u1057)) | ( _u1057 = hAPP(hAPP(hAPP(c_Natural_Oupdate, skolem24(_u1057, _u1056, _u1055, _u1054, _u1053)), c_Com_Ovname_OLoc(_u1053)), c_Natural_Ogetlocs(_u1056, _u1053))) )).
% 39.81/40.04 cnf(fact_evalc__elim__cases_I3_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OLocal(_u1053, _u1054, _u1055)), _u1056), _u1057)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1055), hAPP(hAPP(hAPP(c_Natural_Oupdate, _u1056), c_Com_Ovname_OLoc(_u1053)), hAPP(_u1054, _u1056))), skolem24(_u1057, _u1056, _u1055, _u1054, _u1053))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_evaln__elim__cases_I3_J ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_evaln__elim__cases_I3_J-1, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OLocal(_u1059, _u1060, _u1061), _u1062, _u1063, _u1064) | ( _u1064 = hAPP(hAPP(hAPP(c_Natural_Oupdate, skolem25(_u1064, _u1063, _u1062, _u1061, _u1060, _u1059)), c_Com_Ovname_OLoc(_u1059)), c_Natural_Ogetlocs(_u1062, _u1059))) )).
% 39.81/40.04 cnf(fact_evaln__elim__cases_I3_J-2, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OLocal(_u1059, _u1060, _u1061), _u1062, _u1063, _u1064) | c_Natural_Oevaln(_u1061, hAPP(hAPP(hAPP(c_Natural_Oupdate, _u1062), c_Com_Ovname_OLoc(_u1059)), hAPP(_u1060, _u1062)), _u1063, skolem25(_u1064, _u1063, _u1062, _u1061, _u1060, _u1059)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_vname_Osimps_I5_J ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_vname_Osimps_I5_J-1, axiom, ( ( c_Com_Ovname_Ovname__case(_u1065, _u1066, _u1067, c_Com_Ovname_OGlb(_u1068)) = hAPP(_u1066, _u1068)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_vname_Orecs_I1_J ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_vname_Orecs_I1_J-1, axiom, ( ( c_Com_Ovname_Ovname__rec(_u1069, _u1070, _u1071, c_Com_Ovname_OGlb(_u1072)) = hAPP(_u1070, _u1072)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_triple__valid__def2 ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_triple__valid__def2-1, axiom, ( ~hBOOL(hAPP(hAPP(_u1088, _u1075), _u1074)) | ~c_Natural_Oevaln(_u1090, _u1074, _u1086, _u1073) | hBOOL(hAPP(hAPP(_u1092, _u1075), _u1073)) | ~c_Hoare__Mirabelle_Otriple__valid(_u1084, _u1086, c_Hoare__Mirabelle_Otriple_Otriple(_u1084, _u1088, _u1090, _u1092)) )).
% 39.81/40.04 cnf(fact_triple__valid__def2-2, axiom, ( c_Hoare__Mirabelle_Otriple__valid(_u1085, _u1087, c_Hoare__Mirabelle_Otriple_Otriple(_u1085, _u1089, _u1091, _u1093)) | hBOOL(hAPP(hAPP(_u1089, skolem26(_u1093, _u1091, _u1089, _u1087)), skolem27(_u1093, _u1091, _u1089, _u1087))) )).
% 39.81/40.04 cnf(fact_triple__valid__def2-3, axiom, ( c_Hoare__Mirabelle_Otriple__valid(_u1085, _u1087, c_Hoare__Mirabelle_Otriple_Otriple(_u1085, _u1089, _u1091, _u1093)) | c_Natural_Oevaln(_u1091, skolem27(_u1093, _u1091, _u1089, _u1087), _u1087, skolem28(_u1093, _u1091, _u1089, _u1087)) )).
% 39.81/40.04 cnf(fact_triple__valid__def2-4, axiom, ( c_Hoare__Mirabelle_Otriple__valid(_u1085, _u1087, c_Hoare__Mirabelle_Otriple_Otriple(_u1085, _u1089, _u1091, _u1093)) | ~hBOOL(hAPP(hAPP(_u1093, skolem26(_u1093, _u1091, _u1089, _u1087)), skolem28(_u1093, _u1091, _u1089, _u1087))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_evalc__elim__cases_I4_J ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_evalc__elim__cases_I4_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(_u1095, _u1096)), _u1097), _u1098)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1095), _u1097), skolem29(_u1098, _u1097, _u1096, _u1095))) )).
% 39.81/40.04 cnf(fact_evalc__elim__cases_I4_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(_u1095, _u1096)), _u1097), _u1098)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1096), skolem29(_u1098, _u1097, _u1096, _u1095)), _u1098)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_evaln__elim__cases_I4_J ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_evaln__elim__cases_I4_J-1, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OSemi(_u1100, _u1101), _u1102, _u1103, _u1104) | c_Natural_Oevaln(_u1100, _u1102, _u1103, skolem30(_u1104, _u1103, _u1102, _u1101, _u1100)) )).
% 39.81/40.04 cnf(fact_evaln__elim__cases_I4_J-2, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OSemi(_u1100, _u1101), _u1102, _u1103, _u1104) | c_Natural_Oevaln(_u1101, skolem30(_u1104, _u1103, _u1102, _u1101, _u1100), _u1103, _u1104) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_comp__cong ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_comp__cong-1, axiom, ( ( hAPP(_u1105, hAPP(_u1106, _u1107)) != hAPP(_u1108, hAPP(_u1109, _u1110))) | ( hAPP(hAPP(c_Fun_Ocomp(_u1111, _u1112, _u1113, _u1105), _u1106), _u1107) = hAPP(hAPP(c_Fun_Ocomp(_u1114, _u1112, _u1115, _u1108), _u1109), _u1110)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_override__on__emptyset ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_override__on__emptyset-1, axiom, ( ( c_Fun_Ooverride__on(_u1116, _u1117, _u1118, _u1119, c_Orderings_Obot__class_Obot(tc_fun(_u1116, tc_HOL_Obool))) = _u1118) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_evalc__WHILE__case ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_evalc__WHILE__case-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1121, _u1122)), _u1123), _u1124)) | ( _u1124 = _u1123) | hBOOL(hAPP(_u1121, _u1123)) )).
% 39.81/40.04 cnf(fact_evalc__WHILE__case-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1121, _u1122)), _u1123), _u1124)) | ( _u1124 = _u1123) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1122), _u1123), skolem31(_u1124, _u1123, _u1122, _u1121))) )).
% 39.81/40.04 cnf(fact_evalc__WHILE__case-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1121, _u1122)), _u1123), _u1124)) | ( _u1124 = _u1123) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1121, _u1122)), skolem31(_u1124, _u1123, _u1122, _u1121)), _u1124)) )).
% 39.81/40.04 cnf(fact_evalc__WHILE__case-4, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1121, _u1122)), _u1123), _u1124)) | ~hBOOL(hAPP(_u1121, _u1123)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1122), _u1123), skolem31(_u1124, _u1123, _u1122, _u1121))) )).
% 39.81/40.04 cnf(fact_evalc__WHILE__case-5, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1121, _u1122)), _u1123), _u1124)) | ~hBOOL(hAPP(_u1121, _u1123)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1121, _u1122)), skolem31(_u1124, _u1123, _u1122, _u1121)), _u1124)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_vname_Osimps_I1_J ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_vname_Osimps_I1_J-1, axiom, ( ( c_Com_Ovname_OGlb(_u1127) != c_Com_Ovname_OGlb(_u1129)) | ( _u1127 = _u1129) )).
% 39.81/40.04 cnf(fact_vname_Osimps_I1_J-2, axiom, ( ( _u1128 != _u1130) | ( c_Com_Ovname_OGlb(_u1128) = c_Com_Ovname_OGlb(_u1130)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_vname_Osimps_I3_J ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_vname_Osimps_I3_J-1, axiom, ( ( c_Com_Ovname_OGlb(_u1131) != c_Com_Ovname_OLoc(_u1132)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_vname_Osimps_I4_J ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_vname_Osimps_I4_J-1, axiom, ( ( c_Com_Ovname_OLoc(_u1133) != c_Com_Ovname_OGlb(_u1134)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_le__refl ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_le__refl-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1135), _u1135)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_nat__le__linear ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_nat__le__linear-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1136), _u1137)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1137), _u1136)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_eq__imp__le ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_eq__imp__le-1, axiom, ( ( _u1138 != _u1139) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1138), _u1139)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_le__trans ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_le__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1140), _u1141)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1141), _u1142)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1140), _u1142)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_le__antisym ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_le__antisym-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1143), _u1144)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1144), _u1143)) | ( _u1143 = _u1144) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_evaln__WHILE__case ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_evaln__WHILE__case-1, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1146, _u1147), _u1148, _u1149, _u1150) | ( _u1150 = _u1148) | hBOOL(hAPP(_u1146, _u1148)) )).
% 39.81/40.04 cnf(fact_evaln__WHILE__case-2, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1146, _u1147), _u1148, _u1149, _u1150) | ( _u1150 = _u1148) | c_Natural_Oevaln(_u1147, _u1148, _u1149, skolem32(_u1150, _u1149, _u1148, _u1147, _u1146)) )).
% 39.81/40.04 cnf(fact_evaln__WHILE__case-3, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1146, _u1147), _u1148, _u1149, _u1150) | ( _u1150 = _u1148) | c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1146, _u1147), skolem32(_u1150, _u1149, _u1148, _u1147, _u1146), _u1149, _u1150) )).
% 39.81/40.04 cnf(fact_evaln__WHILE__case-4, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1146, _u1147), _u1148, _u1149, _u1150) | ~hBOOL(hAPP(_u1146, _u1148)) | c_Natural_Oevaln(_u1147, _u1148, _u1149, skolem32(_u1150, _u1149, _u1148, _u1147, _u1146)) )).
% 39.81/40.04 cnf(fact_evaln__WHILE__case-5, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1146, _u1147), _u1148, _u1149, _u1150) | ~hBOOL(hAPP(_u1146, _u1148)) | c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1146, _u1147), skolem32(_u1150, _u1149, _u1148, _u1147, _u1146), _u1149, _u1150) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_Least__equality ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_Least__equality-1, axiom, ( ~class_Orderings_Oorder(_u1152) | ~hBOOL(hAPP(_u1153, _u1154)) | ( c_Orderings_Oord__class_OLeast(_u1152, _u1153) = _u1154) | hBOOL(hAPP(_u1153, skolem33(_u1154, _u1153, _u1152))) )).
% 39.81/40.04 cnf(fact_Least__equality-2, axiom, ( ~class_Orderings_Oorder(_u1152) | ~hBOOL(hAPP(_u1153, _u1154)) | ( c_Orderings_Oord__class_OLeast(_u1152, _u1153) = _u1154) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1152), _u1154), skolem33(_u1154, _u1153, _u1152))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_evalc__evaln ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_evalc__evaln-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1156), _u1157), _u1158)) | c_Natural_Oevaln(_u1156, _u1157, skolem34(_u1158, _u1157, _u1156), _u1158) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_Pow__mono ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_Pow__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1159, tc_HOL_Obool)), _u1160), _u1161)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u1159, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u1159), _u1160)), hAPP(c_Set_OPow(_u1159), _u1161))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_the__equality ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_the__equality-1, axiom, ( ~hBOOL(hAPP(_u1163, _u1164)) | ( c_HOL_OThe(_u1165, _u1163) = _u1164) | hBOOL(hAPP(_u1163, skolem35(_u1165, _u1164, _u1163))) )).
% 39.81/40.04 cnf(fact_the__equality-2, axiom, ( ~hBOOL(hAPP(_u1163, _u1164)) | ( c_HOL_OThe(_u1165, _u1163) = _u1164) | ( skolem35(_u1165, _u1164, _u1163) != _u1164) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_singleton__conv2 ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_singleton__conv2-1, axiom, ( ( hAPP(c_Set_OCollect(_u1166), hAPP(c_fequal, _u1167)) = hAPP(hAPP(c_Set_Oinsert(_u1166), _u1167), c_Orderings_Obot__class_Obot(tc_fun(_u1166, tc_HOL_Obool)))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_Collect__def ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_Collect__def-1, axiom, ( ( hAPP(c_Set_OCollect(_u1168), _u1169) = _u1169) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_Pow__not__empty ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_Pow__not__empty-1, axiom, ( ( hAPP(c_Set_OPow(_u1170), _u1171) != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u1170, tc_HOL_Obool), tc_HOL_Obool))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_Pow__def ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_Pow__def-1, axiom, ( ( hAPP(c_Set_OPow(_u1172), _u1173) = hAPP(c_Set_OCollect(tc_fun(_u1172, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_fun(_u1172, tc_HOL_Obool), tc_fun(_u1172, tc_HOL_Obool), tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(tc_fun(_u1172, tc_HOL_Obool))), _u1173))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_Collect__empty__eq ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_Collect__empty__eq-1, axiom, ( ~hBOOL(hAPP(_u1180, _u1174)) | ( hAPP(c_Set_OCollect(_u1178), _u1180) != c_Orderings_Obot__class_Obot(tc_fun(_u1178, tc_HOL_Obool))) )).
% 39.81/40.04 cnf(fact_Collect__empty__eq-2, axiom, ( hBOOL(hAPP(_u1181, skolem36(_u1181))) | ( hAPP(c_Set_OCollect(_u1179), _u1181) = c_Orderings_Obot__class_Obot(tc_fun(_u1179, tc_HOL_Obool))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_empty__Collect__eq ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_empty__Collect__eq-1, axiom, ( ~hBOOL(hAPP(_u1188, _u1182)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u1186, tc_HOL_Obool)) != hAPP(c_Set_OCollect(_u1186), _u1188)) )).
% 39.81/40.04 cnf(fact_empty__Collect__eq-2, axiom, ( hBOOL(hAPP(_u1189, skolem37(_u1189))) | ( c_Orderings_Obot__class_Obot(tc_fun(_u1187, tc_HOL_Obool)) = hAPP(c_Set_OCollect(_u1187), _u1189)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_Pow__empty ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_Pow__empty-1, axiom, ( ( hAPP(c_Set_OPow(_u1190), c_Orderings_Obot__class_Obot(tc_fun(_u1190, tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_fun(_u1190, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u1190, tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u1190, tc_HOL_Obool), tc_HOL_Obool)))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_empty__def ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_empty__def-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u1191, tc_HOL_Obool)) = hAPP(c_Set_OCollect(_u1191), hAPP(c_COMBK(tc_HOL_Obool, _u1191), c_fFalse))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_insert__Collect ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_insert__Collect-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u1192), _u1193), hAPP(c_Set_OCollect(_u1192), _u1194)) = hAPP(c_Set_OCollect(_u1192), hAPP(hAPP(c_COMBS(_u1192, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u1192), c_fimplies), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u1192), c_fNot), hAPP(hAPP(c_COMBC(_u1192, _u1192, tc_HOL_Obool), c_fequal), _u1193)))), _u1194))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_Collect__conv__if ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_Collect__conv__if-1, axiom, ( ~hBOOL(hAPP(_u1198, _u1200)) | ( hAPP(c_Set_OCollect(_u1202), hAPP(hAPP(c_COMBS(_u1202, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u1202), c_fconj), hAPP(hAPP(c_COMBC(_u1202, _u1202, tc_HOL_Obool), c_fequal), _u1200))), _u1198)) = hAPP(hAPP(c_Set_Oinsert(_u1202), _u1200), c_Orderings_Obot__class_Obot(tc_fun(_u1202, tc_HOL_Obool)))) )).
% 39.81/40.04 cnf(fact_Collect__conv__if-2, axiom, ( hBOOL(hAPP(_u1199, _u1201)) | ( hAPP(c_Set_OCollect(_u1203), hAPP(hAPP(c_COMBS(_u1203, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u1203), c_fconj), hAPP(hAPP(c_COMBC(_u1203, _u1203, tc_HOL_Obool), c_fequal), _u1201))), _u1199)) = c_Orderings_Obot__class_Obot(tc_fun(_u1203, tc_HOL_Obool))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_Collect__conv__if2 ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_Collect__conv__if2-1, axiom, ( ~hBOOL(hAPP(_u1207, _u1209)) | ( hAPP(c_Set_OCollect(_u1211), hAPP(hAPP(c_COMBS(_u1211, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u1211), c_fconj), hAPP(c_fequal, _u1209))), _u1207)) = hAPP(hAPP(c_Set_Oinsert(_u1211), _u1209), c_Orderings_Obot__class_Obot(tc_fun(_u1211, tc_HOL_Obool)))) )).
% 39.81/40.04 cnf(fact_Collect__conv__if2-2, axiom, ( hBOOL(hAPP(_u1208, _u1210)) | ( hAPP(c_Set_OCollect(_u1212), hAPP(hAPP(c_COMBS(_u1212, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u1212), c_fconj), hAPP(c_fequal, _u1210))), _u1208)) = c_Orderings_Obot__class_Obot(tc_fun(_u1212, tc_HOL_Obool))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_singleton__conv ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_singleton__conv-1, axiom, ( ( hAPP(c_Set_OCollect(_u1213), hAPP(hAPP(c_COMBC(_u1213, _u1213, tc_HOL_Obool), c_fequal), _u1214)) = hAPP(hAPP(c_Set_Oinsert(_u1213), _u1214), c_Orderings_Obot__class_Obot(tc_fun(_u1213, tc_HOL_Obool)))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_PowI ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_PowI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1215, tc_HOL_Obool)), _u1216), _u1217)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u1215, tc_HOL_Obool)), _u1216), hAPP(c_Set_OPow(_u1215), _u1217))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_Collect__mono ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_Collect__mono-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1221, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u1221), _u1219)), hAPP(c_Set_OCollect(_u1221), _u1220))) | hBOOL(hAPP(_u1219, skolem38(_u1221, _u1220, _u1219))) )).
% 39.81/40.04 cnf(fact_Collect__mono-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1221, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u1221), _u1219)), hAPP(c_Set_OCollect(_u1221), _u1220))) | ~hBOOL(hAPP(_u1220, skolem38(_u1221, _u1220, _u1219))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_insert__compr__raw ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_insert__compr__raw-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u1222), _u1223), _u1224) = hAPP(c_Set_OCollect(_u1222), hAPP(hAPP(c_COMBS(_u1222, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u1222), c_fdisj), hAPP(hAPP(c_COMBC(_u1222, _u1222, tc_HOL_Obool), c_fequal), _u1223))), hAPP(hAPP(c_COMBC(_u1222, tc_fun(_u1222, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1222)), _u1224)))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_insert__compr ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_insert__compr-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u1225), _u1226), _u1227) = hAPP(c_Set_OCollect(_u1225), hAPP(hAPP(c_COMBS(_u1225, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u1225), c_fdisj), hAPP(hAPP(c_COMBC(_u1225, _u1225, tc_HOL_Obool), c_fequal), _u1226))), hAPP(hAPP(c_COMBC(_u1225, tc_fun(_u1225, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1225)), _u1227)))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_insert__def ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_insert__def-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u1228), _u1229), _u1230) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1228, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u1228), hAPP(hAPP(c_COMBC(_u1228, _u1228, tc_HOL_Obool), c_fequal), _u1229))), _u1230)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_Pow__iff ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_Pow__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u1234, tc_HOL_Obool)), _u1236), hAPP(c_Set_OPow(_u1234), _u1238))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1234, tc_HOL_Obool)), _u1236), _u1238)) )).
% 39.81/40.04 cnf(fact_Pow__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1235, tc_HOL_Obool)), _u1237), _u1239)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u1235, tc_HOL_Obool)), _u1237), hAPP(c_Set_OPow(_u1235), _u1239))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_PowD ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_PowD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u1240, tc_HOL_Obool)), _u1241), hAPP(c_Set_OPow(_u1240), _u1242))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1240, tc_HOL_Obool)), _u1241), _u1242)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_Pow__bottom ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_Pow__bottom-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u1243, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u1243, tc_HOL_Obool))), hAPP(c_Set_OPow(_u1243), _u1244))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_image__constant__conv ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_image__constant__conv-1, axiom, ( ( _u1249 != c_Orderings_Obot__class_Obot(tc_fun(_u1251, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u1251, _u1253, hAPP(c_COMBK(_u1253, _u1251), _u1255)), _u1249) = c_Orderings_Obot__class_Obot(tc_fun(_u1253, tc_HOL_Obool))) )).
% 39.81/40.04 cnf(fact_image__constant__conv-2, axiom, ( ( _u1250 = c_Orderings_Obot__class_Obot(tc_fun(_u1252, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u1252, _u1254, hAPP(c_COMBK(_u1254, _u1252), _u1256)), _u1250) = hAPP(hAPP(c_Set_Oinsert(_u1254), _u1256), c_Orderings_Obot__class_Obot(tc_fun(_u1254, tc_HOL_Obool)))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_strict__mono__mono ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_strict__mono__mono-1, axiom, ( ~class_Orderings_Oorder(_u1257) | ~class_Orderings_Oorder(_u1258) | ~c_Orderings_Oorder__class_Ostrict__mono(_u1258, _u1257, _u1259) | c_Orderings_Oorder__class_Omono(_u1258, _u1257, _u1259) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_subset__insert ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_subset__insert-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1260), _u1261), _u1262)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1260, tc_HOL_Obool)), _u1262), hAPP(hAPP(c_Set_Oinsert(_u1260), _u1261), _u1263))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1260, tc_HOL_Obool)), _u1262), _u1263)) )).
% 39.81/40.04 cnf(fact_subset__insert-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1260), _u1261), _u1262)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1260, tc_HOL_Obool)), _u1262), _u1263)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1260, tc_HOL_Obool)), _u1262), hAPP(hAPP(c_Set_Oinsert(_u1260), _u1261), _u1263))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_equalityCE ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_equalityCE-1, axiom, ( ( _u1264 != _u1265) | hBOOL(hAPP(hAPP(c_member(_u1266), _u1267), _u1264)) | ~hBOOL(hAPP(hAPP(c_member(_u1266), _u1267), _u1265)) )).
% 39.81/40.04 cnf(fact_equalityCE-2, axiom, ( ( _u1264 != _u1265) | hBOOL(hAPP(hAPP(c_member(_u1266), _u1267), _u1265)) | ~hBOOL(hAPP(hAPP(c_member(_u1266), _u1267), _u1264)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_sup1E ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_sup1E-1, axiom, ( hBOOL(hAPP(_u1269, _u1271)) | hBOOL(hAPP(_u1270, _u1271)) | ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1268, tc_HOL_Obool)), _u1269), _u1270), _u1271)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_sup1CI ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_sup1CI-1, axiom, ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1275, tc_HOL_Obool)), _u1274), _u1272), _u1273)) | ~hBOOL(hAPP(_u1272, _u1273)) )).
% 39.81/40.04 cnf(fact_sup1CI-2, axiom, ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1275, tc_HOL_Obool)), _u1274), _u1272), _u1273)) | ~hBOOL(hAPP(_u1274, _u1273)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_emptyE ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_emptyE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1276), _u1277), c_Orderings_Obot__class_Obot(tc_fun(_u1276, tc_HOL_Obool)))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_insertE ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_insertE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1278), _u1279), hAPP(hAPP(c_Set_Oinsert(_u1278), _u1280), _u1281))) | ( _u1279 = _u1280) | hBOOL(hAPP(hAPP(c_member(_u1278), _u1279), _u1281)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_insertCI ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_insertCI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1282), _u1283), hAPP(hAPP(c_Set_Oinsert(_u1282), _u1285), _u1284))) | ~hBOOL(hAPP(hAPP(c_member(_u1282), _u1283), _u1284)) )).
% 39.81/40.04 cnf(fact_insertCI-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1282), _u1283), hAPP(hAPP(c_Set_Oinsert(_u1282), _u1285), _u1284))) | ( _u1283 != _u1285) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_subsetD ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_subsetD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1286, tc_HOL_Obool)), _u1287), _u1288)) | ~hBOOL(hAPP(hAPP(c_member(_u1286), _u1289), _u1287)) | hBOOL(hAPP(hAPP(c_member(_u1286), _u1289), _u1288)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_image__eqI ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_image__eqI-1, axiom, ( ( _u1290 != hAPP(_u1291, _u1292)) | ~hBOOL(hAPP(hAPP(c_member(_u1293), _u1292), _u1294)) | hBOOL(hAPP(hAPP(c_member(_u1295), _u1290), hAPP(c_Set_Oimage(_u1293, _u1295, _u1291), _u1294))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_UnE ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_UnE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1296), _u1297), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1296, tc_HOL_Obool)), _u1298), _u1299))) | hBOOL(hAPP(hAPP(c_member(_u1296), _u1297), _u1298)) | hBOOL(hAPP(hAPP(c_member(_u1296), _u1297), _u1299)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_UnCI ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_UnCI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1300), _u1301), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1300, tc_HOL_Obool)), _u1303), _u1302))) | ~hBOOL(hAPP(hAPP(c_member(_u1300), _u1301), _u1302)) )).
% 39.81/40.04 cnf(fact_UnCI-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1300), _u1301), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1300, tc_HOL_Obool)), _u1303), _u1302))) | ~hBOOL(hAPP(hAPP(c_member(_u1300), _u1301), _u1303)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_CollectI ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_CollectI-1, axiom, ( ~hBOOL(hAPP(_u1304, _u1305)) | hBOOL(hAPP(hAPP(c_member(_u1306), _u1305), hAPP(c_Set_OCollect(_u1306), _u1304))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_Un__absorb ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_Un__absorb-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1307, tc_HOL_Obool)), _u1308), _u1308) = _u1308) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_mem__def ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_mem__def-1, axiom, ( hBOOL(hAPP(_u1316, _u1314)) | ~hBOOL(hAPP(hAPP(c_member(_u1312), _u1314), _u1316)) )).
% 39.81/40.04 cnf(fact_mem__def-2, axiom, ( ~hBOOL(hAPP(_u1317, _u1315)) | hBOOL(hAPP(hAPP(c_member(_u1313), _u1315), _u1317)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_Un__commute ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_Un__commute-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1318, tc_HOL_Obool)), _u1319), _u1320) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1318, tc_HOL_Obool)), _u1320), _u1319)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_Un__left__absorb ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_Un__left__absorb-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1321, tc_HOL_Obool)), _u1322), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1321, tc_HOL_Obool)), _u1322), _u1323)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1321, tc_HOL_Obool)), _u1322), _u1323)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_image__iff ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_image__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1331), _u1333), hAPP(c_Set_Oimage(_u1335, _u1331, _u1337), _u1339))) | hBOOL(hAPP(hAPP(c_member(_u1335), skolem39(_u1339, _u1337, _u1335, _u1333)), _u1339)) )).
% 39.81/40.04 cnf(fact_image__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1331), _u1333), hAPP(c_Set_Oimage(_u1335, _u1331, _u1337), _u1339))) | ( _u1333 = hAPP(_u1337, skolem39(_u1339, _u1337, _u1335, _u1333))) )).
% 39.81/40.04 cnf(fact_image__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1336), _u1325), _u1340)) | ( _u1334 != hAPP(_u1338, _u1325)) | hBOOL(hAPP(hAPP(c_member(_u1332), _u1334), hAPP(c_Set_Oimage(_u1336, _u1332, _u1338), _u1340))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_Un__left__commute ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_Un__left__commute-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1341, tc_HOL_Obool)), _u1342), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1341, tc_HOL_Obool)), _u1343), _u1344)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1341, tc_HOL_Obool)), _u1343), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1341, tc_HOL_Obool)), _u1342), _u1344))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_image__Un ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_image__Un-1, axiom, ( ( hAPP(c_Set_Oimage(_u1345, _u1346, _u1347), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1345, tc_HOL_Obool)), _u1348), _u1349)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1346, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u1345, _u1346, _u1347), _u1348)), hAPP(c_Set_Oimage(_u1345, _u1346, _u1347), _u1349))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_Un__iff ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_Un__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1354), _u1356), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1354, tc_HOL_Obool)), _u1358), _u1360))) | hBOOL(hAPP(hAPP(c_member(_u1354), _u1356), _u1358)) | hBOOL(hAPP(hAPP(c_member(_u1354), _u1356), _u1360)) )).
% 39.81/40.04 cnf(fact_Un__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1355), _u1357), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1355, tc_HOL_Obool)), _u1359), _u1361))) | ~hBOOL(hAPP(hAPP(c_member(_u1355), _u1357), _u1359)) )).
% 39.81/40.04 cnf(fact_Un__iff-3, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1355), _u1357), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1355, tc_HOL_Obool)), _u1359), _u1361))) | ~hBOOL(hAPP(hAPP(c_member(_u1355), _u1357), _u1361)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_Un__assoc ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_Un__assoc-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1362, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1362, tc_HOL_Obool)), _u1363), _u1364)), _u1365) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1362, tc_HOL_Obool)), _u1363), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1362, tc_HOL_Obool)), _u1364), _u1365))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_bex__Un ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_bex__Un-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1376), _u1366), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1376, tc_HOL_Obool)), _u1378), _u1380))) | ~hBOOL(hAPP(_u1382, _u1366)) | hBOOL(hAPP(hAPP(c_member(_u1376), skolem40(_u1382, _u1380, _u1378, _u1376)), _u1378)) | hBOOL(hAPP(hAPP(c_member(_u1376), skolem41(_u1382, _u1380, _u1378, _u1376)), _u1380)) )).
% 39.81/40.04 cnf(fact_bex__Un-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1376), _u1366), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1376, tc_HOL_Obool)), _u1378), _u1380))) | ~hBOOL(hAPP(_u1382, _u1366)) | hBOOL(hAPP(hAPP(c_member(_u1376), skolem40(_u1382, _u1380, _u1378, _u1376)), _u1378)) | hBOOL(hAPP(_u1382, skolem41(_u1382, _u1380, _u1378, _u1376))) )).
% 39.81/40.04 cnf(fact_bex__Un-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1376), _u1366), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1376, tc_HOL_Obool)), _u1378), _u1380))) | ~hBOOL(hAPP(_u1382, _u1366)) | hBOOL(hAPP(_u1382, skolem40(_u1382, _u1380, _u1378, _u1376))) | hBOOL(hAPP(hAPP(c_member(_u1376), skolem41(_u1382, _u1380, _u1378, _u1376)), _u1380)) )).
% 39.81/40.04 cnf(fact_bex__Un-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1376), _u1366), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1376, tc_HOL_Obool)), _u1378), _u1380))) | ~hBOOL(hAPP(_u1382, _u1366)) | hBOOL(hAPP(_u1382, skolem40(_u1382, _u1380, _u1378, _u1376))) | hBOOL(hAPP(_u1382, skolem41(_u1382, _u1380, _u1378, _u1376))) )).
% 39.81/40.04 cnf(fact_bex__Un-5, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1377), _u1369), _u1379)) | ~hBOOL(hAPP(_u1383, _u1369)) | hBOOL(hAPP(hAPP(c_member(_u1377), skolem42(_u1383, _u1381, _u1379, _u1377)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1377, tc_HOL_Obool)), _u1379), _u1381))) )).
% 39.81/40.04 cnf(fact_bex__Un-6, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1377), _u1369), _u1379)) | ~hBOOL(hAPP(_u1383, _u1369)) | hBOOL(hAPP(_u1383, skolem42(_u1383, _u1381, _u1379, _u1377))) )).
% 39.81/40.04 cnf(fact_bex__Un-7, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1377), _u1370), _u1381)) | ~hBOOL(hAPP(_u1383, _u1370)) | hBOOL(hAPP(hAPP(c_member(_u1377), skolem42(_u1383, _u1381, _u1379, _u1377)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1377, tc_HOL_Obool)), _u1379), _u1381))) )).
% 39.81/40.04 cnf(fact_bex__Un-8, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1377), _u1370), _u1381)) | ~hBOOL(hAPP(_u1383, _u1370)) | hBOOL(hAPP(_u1383, skolem42(_u1383, _u1381, _u1379, _u1377))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_ball__Un ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_ball__Un-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1394), skolem43(_u1400, _u1398, _u1396, _u1394)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1394, tc_HOL_Obool)), _u1396), _u1398))) | ~hBOOL(hAPP(hAPP(c_member(_u1394), _u1385), _u1396)) | hBOOL(hAPP(_u1400, _u1385)) )).
% 39.81/40.04 cnf(fact_ball__Un-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1394), skolem43(_u1400, _u1398, _u1396, _u1394)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1394, tc_HOL_Obool)), _u1396), _u1398))) | ~hBOOL(hAPP(hAPP(c_member(_u1394), _u1386), _u1398)) | hBOOL(hAPP(_u1400, _u1386)) )).
% 39.81/40.04 cnf(fact_ball__Un-3, axiom, ( ~hBOOL(hAPP(_u1400, skolem43(_u1400, _u1398, _u1396, _u1394))) | ~hBOOL(hAPP(hAPP(c_member(_u1394), _u1385), _u1396)) | hBOOL(hAPP(_u1400, _u1385)) )).
% 39.81/40.04 cnf(fact_ball__Un-4, axiom, ( ~hBOOL(hAPP(_u1400, skolem43(_u1400, _u1398, _u1396, _u1394))) | ~hBOOL(hAPP(hAPP(c_member(_u1394), _u1386), _u1398)) | hBOOL(hAPP(_u1400, _u1386)) )).
% 39.81/40.04 cnf(fact_ball__Un-5, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1395), _u1389), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1395, tc_HOL_Obool)), _u1397), _u1399))) | hBOOL(hAPP(_u1401, _u1389)) | hBOOL(hAPP(hAPP(c_member(_u1395), skolem44(_u1401, _u1399, _u1397, _u1395)), _u1397)) | hBOOL(hAPP(hAPP(c_member(_u1395), skolem45(_u1401, _u1399, _u1397, _u1395)), _u1399)) )).
% 39.81/40.04 cnf(fact_ball__Un-6, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1395), _u1389), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1395, tc_HOL_Obool)), _u1397), _u1399))) | hBOOL(hAPP(_u1401, _u1389)) | hBOOL(hAPP(hAPP(c_member(_u1395), skolem44(_u1401, _u1399, _u1397, _u1395)), _u1397)) | ~hBOOL(hAPP(_u1401, skolem45(_u1401, _u1399, _u1397, _u1395))) )).
% 39.81/40.04 cnf(fact_ball__Un-7, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1395), _u1389), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1395, tc_HOL_Obool)), _u1397), _u1399))) | hBOOL(hAPP(_u1401, _u1389)) | ~hBOOL(hAPP(_u1401, skolem44(_u1401, _u1399, _u1397, _u1395))) | hBOOL(hAPP(hAPP(c_member(_u1395), skolem45(_u1401, _u1399, _u1397, _u1395)), _u1399)) )).
% 39.81/40.04 cnf(fact_ball__Un-8, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1395), _u1389), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1395, tc_HOL_Obool)), _u1397), _u1399))) | hBOOL(hAPP(_u1401, _u1389)) | ~hBOOL(hAPP(_u1401, skolem44(_u1401, _u1399, _u1397, _u1395))) | ~hBOOL(hAPP(_u1401, skolem45(_u1401, _u1399, _u1397, _u1395))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_UnI1 ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_UnI1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1402), _u1403), _u1404)) | hBOOL(hAPP(hAPP(c_member(_u1402), _u1403), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1402, tc_HOL_Obool)), _u1404), _u1405))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_UnI2 ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_UnI2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1406), _u1407), _u1408)) | hBOOL(hAPP(hAPP(c_member(_u1406), _u1407), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1406, tc_HOL_Obool)), _u1409), _u1408))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_imageI ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_imageI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1410), _u1411), _u1412)) | hBOOL(hAPP(hAPP(c_member(_u1413), hAPP(_u1414, _u1411)), hAPP(c_Set_Oimage(_u1410, _u1413, _u1414), _u1412))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_eqset__imp__iff ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_eqset__imp__iff-1, axiom, ( ( _u1415 != _u1416) | ~hBOOL(hAPP(hAPP(c_member(_u1417), _u1418), _u1415)) | hBOOL(hAPP(hAPP(c_member(_u1417), _u1418), _u1416)) )).
% 39.81/40.04 cnf(fact_eqset__imp__iff-2, axiom, ( ( _u1415 != _u1416) | ~hBOOL(hAPP(hAPP(c_member(_u1417), _u1418), _u1416)) | hBOOL(hAPP(hAPP(c_member(_u1417), _u1418), _u1415)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_eqelem__imp__iff ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_eqelem__imp__iff-1, axiom, ( ( _u1419 != _u1420) | ~hBOOL(hAPP(hAPP(c_member(_u1421), _u1419), _u1422)) | hBOOL(hAPP(hAPP(c_member(_u1421), _u1420), _u1422)) )).
% 39.81/40.04 cnf(fact_eqelem__imp__iff-2, axiom, ( ( _u1419 != _u1420) | ~hBOOL(hAPP(hAPP(c_member(_u1421), _u1420), _u1422)) | hBOOL(hAPP(hAPP(c_member(_u1421), _u1419), _u1422)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_eq__mem__trans ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_eq__mem__trans-1, axiom, ( ( _u1423 != _u1424) | ~hBOOL(hAPP(hAPP(c_member(_u1425), _u1424), _u1426)) | hBOOL(hAPP(hAPP(c_member(_u1425), _u1423), _u1426)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_rev__image__eqI ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_rev__image__eqI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1427), _u1428), _u1429)) | ( _u1430 != hAPP(_u1431, _u1428)) | hBOOL(hAPP(hAPP(c_member(_u1432), _u1430), hAPP(c_Set_Oimage(_u1427, _u1432, _u1431), _u1429))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_eq__mem ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_eq__mem-1, axiom, ( ( _u1438 = _u1440) | ~hBOOL(hAPP(hAPP(c_member(_u1436), _u1438), hAPP(c_fequal, _u1440))) )).
% 39.81/40.04 cnf(fact_eq__mem-2, axiom, ( ( _u1439 != _u1441) | hBOOL(hAPP(hAPP(c_member(_u1437), _u1439), hAPP(c_fequal, _u1441))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_sup__Un__eq ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_sup__Un__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1446, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u1446, tc_fun(_u1446, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1446)), _u1448)), hAPP(hAPP(c_COMBC(_u1446, tc_fun(_u1446, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1446)), _u1450)), _u1452)) | hBOOL(hAPP(hAPP(c_member(_u1446), _u1452), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1446, tc_HOL_Obool)), _u1448), _u1450))) )).
% 39.81/40.04 cnf(fact_sup__Un__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1447), _u1453), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1447, tc_HOL_Obool)), _u1449), _u1451))) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1447, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u1447, tc_fun(_u1447, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1447)), _u1449)), hAPP(hAPP(c_COMBC(_u1447, tc_fun(_u1447, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1447)), _u1451)), _u1453)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_sup1I1 ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_sup1I1-1, axiom, ( ~hBOOL(hAPP(_u1454, _u1455)) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1456, tc_HOL_Obool)), _u1454), _u1457), _u1455)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_sup1I2 ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_sup1I2-1, axiom, ( ~hBOOL(hAPP(_u1458, _u1459)) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1460, tc_HOL_Obool)), _u1461), _u1458), _u1459)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_insert__image ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_insert__image-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1462), _u1463), _u1464)) | ( hAPP(hAPP(c_Set_Oinsert(_u1465), hAPP(_u1466, _u1463)), hAPP(c_Set_Oimage(_u1462, _u1465, _u1466), _u1464)) = hAPP(c_Set_Oimage(_u1462, _u1465, _u1466), _u1464)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_image__image ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_image__image-1, axiom, ( ( hAPP(c_Set_Oimage(_u1467, _u1468, _u1469), hAPP(c_Set_Oimage(_u1470, _u1467, _u1471), _u1472)) = hAPP(c_Set_Oimage(_u1470, _u1468, hAPP(hAPP(c_COMBB(_u1467, _u1468, _u1470), _u1469), _u1471)), _u1472)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_image__ident ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_image__ident-1, axiom, ( ( hAPP(c_Set_Oimage(_u1473, _u1473, c_COMBI(_u1473)), _u1474) = _u1474) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_image__Pow__surj ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_image__Pow__surj-1, axiom, ( ( hAPP(c_Set_Oimage(_u1475, _u1476, _u1477), _u1478) != _u1479) | ( hAPP(c_Set_Oimage(tc_fun(_u1475, tc_HOL_Obool), tc_fun(_u1476, tc_HOL_Obool), c_Set_Oimage(_u1475, _u1476, _u1477)), hAPP(c_Set_OPow(_u1475), _u1478)) = hAPP(c_Set_OPow(_u1476), _u1479)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_mono__Un ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_mono__Un-1, axiom, ( ~c_Orderings_Oorder__class_Omono(tc_fun(_u1480, tc_HOL_Obool), tc_fun(_u1481, tc_HOL_Obool), _u1482) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1481, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1481, tc_HOL_Obool)), hAPP(_u1482, _u1483)), hAPP(_u1482, _u1484))), hAPP(_u1482, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1480, tc_HOL_Obool)), _u1483), _u1484)))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_pred__equals__eq ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_pred__equals__eq-1, axiom, ( ( _u1490 = _u1492) | ( hAPP(hAPP(c_COMBC(_u1488, tc_fun(_u1488, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1488)), _u1490) != hAPP(hAPP(c_COMBC(_u1488, tc_fun(_u1488, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1488)), _u1492)) )).
% 39.81/40.04 cnf(fact_pred__equals__eq-2, axiom, ( ( _u1491 != _u1493) | ( hAPP(hAPP(c_COMBC(_u1489, tc_fun(_u1489, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1489)), _u1491) = hAPP(hAPP(c_COMBC(_u1489, tc_fun(_u1489, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1489)), _u1493)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_Un__def ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_Un__def-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1494, tc_HOL_Obool)), _u1495), _u1496) = hAPP(c_Set_OCollect(_u1494), hAPP(hAPP(c_COMBS(_u1494, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u1494), c_fdisj), hAPP(hAPP(c_COMBC(_u1494, tc_fun(_u1494, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1494)), _u1495))), hAPP(hAPP(c_COMBC(_u1494, tc_fun(_u1494, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1494)), _u1496)))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_Least__mono ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_Least__mono-1, axiom, ( ~class_Orderings_Oorder(_u1499) | ~class_Orderings_Oorder(_u1500) | ~c_Orderings_Oorder__class_Omono(_u1500, _u1499, _u1501) | ( c_Orderings_Oord__class_OLeast(_u1499, hAPP(hAPP(c_COMBC(_u1499, tc_fun(_u1499, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1499)), hAPP(c_Set_Oimage(_u1500, _u1499, _u1501), _u1502))) = hAPP(_u1501, c_Orderings_Oord__class_OLeast(_u1500, hAPP(hAPP(c_COMBC(_u1500, tc_fun(_u1500, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1500)), _u1502)))) | ~hBOOL(hAPP(hAPP(c_member(_u1500), _u1498), _u1502)) | hBOOL(hAPP(hAPP(c_member(_u1500), skolem46(_u1502, _u1501, _u1500, _u1499, _u1498)), _u1502)) )).
% 39.81/40.04 cnf(fact_Least__mono-2, axiom, ( ~class_Orderings_Oorder(_u1499) | ~class_Orderings_Oorder(_u1500) | ~c_Orderings_Oorder__class_Omono(_u1500, _u1499, _u1501) | ( c_Orderings_Oord__class_OLeast(_u1499, hAPP(hAPP(c_COMBC(_u1499, tc_fun(_u1499, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1499)), hAPP(c_Set_Oimage(_u1500, _u1499, _u1501), _u1502))) = hAPP(_u1501, c_Orderings_Oord__class_OLeast(_u1500, hAPP(hAPP(c_COMBC(_u1500, tc_fun(_u1500, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1500)), _u1502)))) | ~hBOOL(hAPP(hAPP(c_member(_u1500), _u1498), _u1502)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1500), _u1498), skolem46(_u1502, _u1501, _u1500, _u1499, _u1498))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_Pow__insert ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_Pow__insert-1, axiom, ( ( hAPP(c_Set_OPow(_u1503), hAPP(hAPP(c_Set_Oinsert(_u1503), _u1504), _u1505)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u1503, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u1503), _u1505)), hAPP(c_Set_Oimage(tc_fun(_u1503, tc_HOL_Obool), tc_fun(_u1503, tc_HOL_Obool), hAPP(c_Set_Oinsert(_u1503), _u1504)), hAPP(c_Set_OPow(_u1503), _u1505)))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_empty__is__image ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_empty__is__image-1, axiom, ( ( _u1516 = c_Orderings_Obot__class_Obot(tc_fun(_u1512, tc_HOL_Obool))) | ( c_Orderings_Obot__class_Obot(tc_fun(_u1510, tc_HOL_Obool)) != hAPP(c_Set_Oimage(_u1512, _u1510, _u1514), _u1516)) )).
% 39.81/40.04 cnf(fact_empty__is__image-2, axiom, ( ( _u1517 != c_Orderings_Obot__class_Obot(tc_fun(_u1513, tc_HOL_Obool))) | ( c_Orderings_Obot__class_Obot(tc_fun(_u1511, tc_HOL_Obool)) = hAPP(c_Set_Oimage(_u1513, _u1511, _u1515), _u1517)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_image__empty ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_image__empty-1, axiom, ( ( hAPP(c_Set_Oimage(_u1518, _u1519, _u1520), c_Orderings_Obot__class_Obot(tc_fun(_u1518, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u1519, tc_HOL_Obool))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_image__is__empty ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_image__is__empty-1, axiom, ( ( hAPP(c_Set_Oimage(_u1525, _u1527, _u1529), _u1531) != c_Orderings_Obot__class_Obot(tc_fun(_u1527, tc_HOL_Obool))) | ( _u1531 = c_Orderings_Obot__class_Obot(tc_fun(_u1525, tc_HOL_Obool))) )).
% 39.81/40.04 cnf(fact_image__is__empty-2, axiom, ( ( _u1532 != c_Orderings_Obot__class_Obot(tc_fun(_u1526, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u1526, _u1528, _u1530), _u1532) = c_Orderings_Obot__class_Obot(tc_fun(_u1528, tc_HOL_Obool))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_image__insert ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_image__insert-1, axiom, ( ( hAPP(c_Set_Oimage(_u1533, _u1534, _u1535), hAPP(hAPP(c_Set_Oinsert(_u1533), _u1536), _u1537)) = hAPP(hAPP(c_Set_Oinsert(_u1534), hAPP(_u1535, _u1536)), hAPP(c_Set_Oimage(_u1533, _u1534, _u1535), _u1537))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_subset__image__iff ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_subset__image__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1545, tc_HOL_Obool)), _u1547), hAPP(c_Set_Oimage(_u1549, _u1545, _u1551), _u1553))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1549, tc_HOL_Obool)), skolem47(_u1553, _u1551, _u1549, _u1547, _u1545)), _u1553)) )).
% 39.81/40.04 cnf(fact_subset__image__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1545, tc_HOL_Obool)), _u1547), hAPP(c_Set_Oimage(_u1549, _u1545, _u1551), _u1553))) | ( _u1547 = hAPP(c_Set_Oimage(_u1549, _u1545, _u1551), skolem47(_u1553, _u1551, _u1549, _u1547, _u1545))) )).
% 39.81/40.04 cnf(fact_subset__image__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1550, tc_HOL_Obool)), _u1539), _u1554)) | ( _u1548 != hAPP(c_Set_Oimage(_u1550, _u1546, _u1552), _u1539)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1546, tc_HOL_Obool)), _u1548), hAPP(c_Set_Oimage(_u1550, _u1546, _u1552), _u1554))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_image__mono ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_image__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1555, tc_HOL_Obool)), _u1556), _u1557)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1558, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u1555, _u1558, _u1559), _u1556)), hAPP(c_Set_Oimage(_u1555, _u1558, _u1559), _u1557))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_image__compose ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_image__compose-1, axiom, ( ( hAPP(c_Set_Oimage(_u1560, _u1561, hAPP(c_Fun_Ocomp(_u1562, _u1561, _u1560, _u1563), _u1564)), _u1565) = hAPP(c_Set_Oimage(_u1562, _u1561, _u1563), hAPP(c_Set_Oimage(_u1560, _u1562, _u1564), _u1565))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_image__constant ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_image__constant-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1566), _u1567), _u1568)) | ( hAPP(c_Set_Oimage(_u1566, _u1569, hAPP(c_COMBK(_u1569, _u1566), _u1570)), _u1568) = hAPP(hAPP(c_Set_Oinsert(_u1569), _u1570), c_Orderings_Obot__class_Obot(tc_fun(_u1569, tc_HOL_Obool)))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_Un__empty__left ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_Un__empty__left-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1571, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u1571, tc_HOL_Obool))), _u1572) = _u1572) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_Un__empty__right ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_Un__empty__right-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1573, tc_HOL_Obool)), _u1574), c_Orderings_Obot__class_Obot(tc_fun(_u1573, tc_HOL_Obool))) = _u1574) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_Un__empty ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_Un__empty-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1578, tc_HOL_Obool)), _u1580), _u1582) != c_Orderings_Obot__class_Obot(tc_fun(_u1578, tc_HOL_Obool))) | ( _u1580 = c_Orderings_Obot__class_Obot(tc_fun(_u1578, tc_HOL_Obool))) )).
% 39.81/40.04 cnf(fact_Un__empty-2, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1578, tc_HOL_Obool)), _u1580), _u1582) != c_Orderings_Obot__class_Obot(tc_fun(_u1578, tc_HOL_Obool))) | ( _u1582 = c_Orderings_Obot__class_Obot(tc_fun(_u1578, tc_HOL_Obool))) )).
% 39.81/40.04 cnf(fact_Un__empty-3, axiom, ( ( _u1581 != c_Orderings_Obot__class_Obot(tc_fun(_u1579, tc_HOL_Obool))) | ( _u1583 != c_Orderings_Obot__class_Obot(tc_fun(_u1579, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1579, tc_HOL_Obool)), _u1581), _u1583) = c_Orderings_Obot__class_Obot(tc_fun(_u1579, tc_HOL_Obool))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_Un__insert__right ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_Un__insert__right-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1584, tc_HOL_Obool)), _u1585), hAPP(hAPP(c_Set_Oinsert(_u1584), _u1586), _u1587)) = hAPP(hAPP(c_Set_Oinsert(_u1584), _u1586), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1584, tc_HOL_Obool)), _u1585), _u1587))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_Un__insert__left ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_Un__insert__left-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1588, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1588), _u1589), _u1590)), _u1591) = hAPP(hAPP(c_Set_Oinsert(_u1588), _u1589), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1588, tc_HOL_Obool)), _u1590), _u1591))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_Un__upper1 ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_Un__upper1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1592, tc_HOL_Obool)), _u1593), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1592, tc_HOL_Obool)), _u1593), _u1594))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_Un__upper2 ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_Un__upper2-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1595, tc_HOL_Obool)), _u1596), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1595, tc_HOL_Obool)), _u1597), _u1596))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_subset__Un__eq ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_subset__Un__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1601, tc_HOL_Obool)), _u1603), _u1605)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1601, tc_HOL_Obool)), _u1603), _u1605) = _u1605) )).
% 39.81/40.04 cnf(fact_subset__Un__eq-2, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1602, tc_HOL_Obool)), _u1604), _u1606) != _u1606) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1602, tc_HOL_Obool)), _u1604), _u1606)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_Un__absorb1 ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_Un__absorb1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1607, tc_HOL_Obool)), _u1608), _u1609)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1607, tc_HOL_Obool)), _u1608), _u1609) = _u1609) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_Un__absorb2 ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_Un__absorb2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1610, tc_HOL_Obool)), _u1611), _u1612)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1610, tc_HOL_Obool)), _u1612), _u1611) = _u1612) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_Un__least ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_Un__least-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1613, tc_HOL_Obool)), _u1614), _u1615)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1613, tc_HOL_Obool)), _u1616), _u1615)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1613, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1613, tc_HOL_Obool)), _u1614), _u1616)), _u1615)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_Un__mono ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_Un__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1617, tc_HOL_Obool)), _u1618), _u1619)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1617, tc_HOL_Obool)), _u1620), _u1621)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1617, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1617, tc_HOL_Obool)), _u1618), _u1620)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1617, tc_HOL_Obool)), _u1619), _u1621))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_all__not__in__conv ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_all__not__in__conv-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1626), skolem48(_u1628, _u1626)), _u1628)) | ( _u1628 = c_Orderings_Obot__class_Obot(tc_fun(_u1626, tc_HOL_Obool))) )).
% 39.81/40.04 cnf(fact_all__not__in__conv-2, axiom, ( ( _u1629 != c_Orderings_Obot__class_Obot(tc_fun(_u1627, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u1627), _u1623), _u1629)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_ex__in__conv ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_ex__in__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1634), _u1630), _u1636)) | ( _u1636 != c_Orderings_Obot__class_Obot(tc_fun(_u1634, tc_HOL_Obool))) )).
% 39.81/40.04 cnf(fact_ex__in__conv-2, axiom, ( ( _u1637 = c_Orderings_Obot__class_Obot(tc_fun(_u1635, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u1635), skolem49(_u1637, _u1635)), _u1637)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_empty__iff ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_empty__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1638), _u1639), c_Orderings_Obot__class_Obot(tc_fun(_u1638, tc_HOL_Obool)))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_equals0D ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_equals0D-1, axiom, ( ( _u1640 != c_Orderings_Obot__class_Obot(tc_fun(_u1641, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u1641), _u1642), _u1640)) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_insertI1 ( axiom ) converted to clauses:
% 39.81/40.04 cnf(fact_insertI1-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1643), _u1644), hAPP(hAPP(c_Set_Oinsert(_u1643), _u1644), _u1645))) )).
% 39.81/40.04
% 39.81/40.04 % Formula: fact_insert__iff ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_insert__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1650), _u1652), hAPP(hAPP(c_Set_Oinsert(_u1650), _u1654), _u1656))) | ( _u1652 = _u1654) | hBOOL(hAPP(hAPP(c_member(_u1650), _u1652), _u1656)) )).
% 39.89/40.04 cnf(fact_insert__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1651), _u1653), hAPP(hAPP(c_Set_Oinsert(_u1651), _u1655), _u1657))) | ( _u1653 != _u1655) )).
% 39.89/40.04 cnf(fact_insert__iff-3, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1651), _u1653), hAPP(hAPP(c_Set_Oinsert(_u1651), _u1655), _u1657))) | ~hBOOL(hAPP(hAPP(c_member(_u1651), _u1653), _u1657)) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_insert__ident ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_insert__ident-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1658), _u1659), _u1660)) | hBOOL(hAPP(hAPP(c_member(_u1658), _u1659), _u1661)) | ( hAPP(hAPP(c_Set_Oinsert(_u1658), _u1659), _u1660) != hAPP(hAPP(c_Set_Oinsert(_u1658), _u1659), _u1661)) | ( _u1660 = _u1661) )).
% 39.89/40.04 cnf(fact_insert__ident-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1658), _u1659), _u1660)) | hBOOL(hAPP(hAPP(c_member(_u1658), _u1659), _u1661)) | ( _u1660 != _u1661) | ( hAPP(hAPP(c_Set_Oinsert(_u1658), _u1659), _u1660) = hAPP(hAPP(c_Set_Oinsert(_u1658), _u1659), _u1661)) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_insertI2 ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_insertI2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1662), _u1663), _u1664)) | hBOOL(hAPP(hAPP(c_member(_u1662), _u1663), hAPP(hAPP(c_Set_Oinsert(_u1662), _u1665), _u1664))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_insert__absorb ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_insert__absorb-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1666), _u1667), _u1668)) | ( hAPP(hAPP(c_Set_Oinsert(_u1666), _u1667), _u1668) = _u1668) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_in__mono ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_in__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1669, tc_HOL_Obool)), _u1670), _u1671)) | ~hBOOL(hAPP(hAPP(c_member(_u1669), _u1672), _u1670)) | hBOOL(hAPP(hAPP(c_member(_u1669), _u1672), _u1671)) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_set__rev__mp ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_set__rev__mp-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1673), _u1674), _u1675)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1673, tc_HOL_Obool)), _u1675), _u1676)) | hBOOL(hAPP(hAPP(c_member(_u1673), _u1674), _u1676)) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_set__mp ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_set__mp-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1677, tc_HOL_Obool)), _u1678), _u1679)) | ~hBOOL(hAPP(hAPP(c_member(_u1677), _u1680), _u1678)) | hBOOL(hAPP(hAPP(c_member(_u1677), _u1680), _u1679)) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_Un__Pow__subset ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_Un__Pow__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u1681, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u1681, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u1681), _u1682)), hAPP(c_Set_OPow(_u1681), _u1683))), hAPP(c_Set_OPow(_u1681), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1681, tc_HOL_Obool)), _u1682), _u1683)))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_Cantors__paradox ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_Cantors__paradox-1, axiom, ( ( hAPP(c_Set_Oimage(_u1685, tc_fun(_u1685, tc_HOL_Obool), _u1684), _u1686) != hAPP(c_Set_OPow(_u1685), _u1686)) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_Pow__top ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_Pow__top-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u1687, tc_HOL_Obool)), _u1688), hAPP(c_Set_OPow(_u1687), _u1688))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_Collect__disj__eq ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_Collect__disj__eq-1, axiom, ( ( hAPP(c_Set_OCollect(_u1689), hAPP(hAPP(c_COMBS(_u1689, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u1689), c_fdisj), _u1690)), _u1691)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1689, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u1689), _u1690)), hAPP(c_Set_OCollect(_u1689), _u1691))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_monoD ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_monoD-1, axiom, ( ~class_Orderings_Oorder(_u1692) | ~class_Orderings_Oorder(_u1693) | ~c_Orderings_Oorder__class_Omono(_u1693, _u1692, _u1694) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1693), _u1695), _u1696)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1692), hAPP(_u1694, _u1695)), hAPP(_u1694, _u1696))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_bot__empty__eq ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_bot__empty__eq-1, axiom, ( ~hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u1699, tc_HOL_Obool)), _u1701)) | hBOOL(hAPP(hAPP(c_member(_u1699), _u1701), c_Orderings_Obot__class_Obot(tc_fun(_u1699, tc_HOL_Obool)))) )).
% 39.89/40.04 cnf(fact_bot__empty__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1700), _u1702), c_Orderings_Obot__class_Obot(tc_fun(_u1700, tc_HOL_Obool)))) | hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u1700, tc_HOL_Obool)), _u1702)) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_image__Pow__mono ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_image__Pow__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1703, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u1704, _u1703, _u1705), _u1706)), _u1707)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u1703, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_Oimage(tc_fun(_u1704, tc_HOL_Obool), tc_fun(_u1703, tc_HOL_Obool), c_Set_Oimage(_u1704, _u1703, _u1705)), hAPP(c_Set_OPow(_u1704), _u1706))), hAPP(c_Set_OPow(_u1703), _u1707))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_Collect__mem__eq ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_Collect__mem__eq-1, axiom, ( ( hAPP(c_Set_OCollect(_u1708), hAPP(hAPP(c_COMBC(_u1708, tc_fun(_u1708, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1708)), _u1709)) = _u1709) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_mem__Collect__eq ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_mem__Collect__eq-1, axiom, ( hBOOL(hAPP(_u1717, _u1715)) | ~hBOOL(hAPP(hAPP(c_member(_u1713), _u1715), hAPP(c_Set_OCollect(_u1713), _u1717))) )).
% 39.89/40.04 cnf(fact_mem__Collect__eq-2, axiom, ( ~hBOOL(hAPP(_u1718, _u1716)) | hBOOL(hAPP(hAPP(c_member(_u1714), _u1716), hAPP(c_Set_OCollect(_u1714), _u1718))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_CollectD ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_CollectD-1, axiom, ( hBOOL(hAPP(_u1721, _u1720)) | ~hBOOL(hAPP(hAPP(c_member(_u1719), _u1720), hAPP(c_Set_OCollect(_u1719), _u1721))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_CollectE ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_CollectE-1, axiom, ( hBOOL(hAPP(_u1724, _u1723)) | ~hBOOL(hAPP(hAPP(c_member(_u1722), _u1723), hAPP(c_Set_OCollect(_u1722), _u1724))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_pred__subset__eq ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_pred__subset__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1728, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u1728, tc_fun(_u1728, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1728)), _u1730)), hAPP(hAPP(c_COMBC(_u1728, tc_fun(_u1728, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1728)), _u1732))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1728, tc_HOL_Obool)), _u1730), _u1732)) )).
% 39.89/40.04 cnf(fact_pred__subset__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1729, tc_HOL_Obool)), _u1731), _u1733)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1729, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u1729, tc_fun(_u1729, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1729)), _u1731)), hAPP(hAPP(c_COMBC(_u1729, tc_fun(_u1729, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1729)), _u1733))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_Powp__Pow__eq ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_Powp__Pow__eq-1, axiom, ( ~hBOOL(hAPP(c_Predicate_OPowp(_u1737, hAPP(hAPP(c_COMBC(_u1737, tc_fun(_u1737, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1737)), _u1739)), _u1741)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u1737, tc_HOL_Obool)), _u1741), hAPP(c_Set_OPow(_u1737), _u1739))) )).
% 39.89/40.04 cnf(fact_Powp__Pow__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u1738, tc_HOL_Obool)), _u1742), hAPP(c_Set_OPow(_u1738), _u1740))) | hBOOL(hAPP(c_Predicate_OPowp(_u1738, hAPP(hAPP(c_COMBC(_u1738, tc_fun(_u1738, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1738)), _u1740)), _u1742)) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_override__on__apply__notin ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_override__on__apply__notin-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1743), _u1744), _u1745)) | ( hAPP(c_Fun_Ooverride__on(_u1743, _u1746, _u1747, _u1748, _u1745), _u1744) = hAPP(_u1747, _u1744)) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_override__on__apply__in ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_override__on__apply__in-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1749), _u1750), _u1751)) | ( hAPP(c_Fun_Ooverride__on(_u1749, _u1752, _u1753, _u1754, _u1751), _u1750) = hAPP(_u1754, _u1750)) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_insert__is__Un ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_insert__is__Un-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u1755), _u1756), _u1757) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1755, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1755), _u1756), c_Orderings_Obot__class_Obot(tc_fun(_u1755, tc_HOL_Obool)))), _u1757)) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_override__on__def ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_override__on__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1764), _u1766), _u1768)) | ( hAPP(c_Fun_Ooverride__on(_u1764, _u1770, _u1772, _u1774, _u1768), _u1766) = hAPP(_u1774, _u1766)) )).
% 39.89/40.04 cnf(fact_override__on__def-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1765), _u1767), _u1769)) | ( hAPP(c_Fun_Ooverride__on(_u1765, _u1771, _u1773, _u1775, _u1769), _u1767) = hAPP(_u1773, _u1767)) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_singleton__iff ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_singleton__iff-1, axiom, ( ( _u1781 = _u1783) | ~hBOOL(hAPP(hAPP(c_member(_u1779), _u1781), hAPP(hAPP(c_Set_Oinsert(_u1779), _u1783), c_Orderings_Obot__class_Obot(tc_fun(_u1779, tc_HOL_Obool))))) )).
% 39.89/40.04 cnf(fact_singleton__iff-2, axiom, ( ( _u1782 != _u1784) | hBOOL(hAPP(hAPP(c_member(_u1780), _u1782), hAPP(hAPP(c_Set_Oinsert(_u1780), _u1784), c_Orderings_Obot__class_Obot(tc_fun(_u1780, tc_HOL_Obool))))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_singletonE ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_singletonE-1, axiom, ( ( _u1786 = _u1787) | ~hBOOL(hAPP(hAPP(c_member(_u1785), _u1786), hAPP(hAPP(c_Set_Oinsert(_u1785), _u1787), c_Orderings_Obot__class_Obot(tc_fun(_u1785, tc_HOL_Obool))))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_insert__subset ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_insert__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1792, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1792), _u1794), _u1796)), _u1798)) | hBOOL(hAPP(hAPP(c_member(_u1792), _u1794), _u1798)) )).
% 39.89/40.04 cnf(fact_insert__subset-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1792, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1792), _u1794), _u1796)), _u1798)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1792, tc_HOL_Obool)), _u1796), _u1798)) )).
% 39.89/40.04 cnf(fact_insert__subset-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1793), _u1795), _u1799)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1793, tc_HOL_Obool)), _u1797), _u1799)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1793, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1793), _u1795), _u1797)), _u1799)) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_mono__sup ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_mono__sup-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u1800) | ~class_Lattices_Osemilattice__sup(_u1801) | ~c_Orderings_Oorder__class_Omono(_u1801, _u1800, _u1802) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1800), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1800), hAPP(_u1802, _u1803)), hAPP(_u1802, _u1804))), hAPP(_u1802, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1801), _u1803), _u1804)))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_sup__fun__def ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_sup__fun__def-1, axiom, ( ~class_Lattices_Olattice(_u1805) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1806, _u1805)), _u1807), _u1808), _u1809) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1805), hAPP(_u1807, _u1809)), hAPP(_u1808, _u1809))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_sup__apply ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_sup__apply-1, axiom, ( ~class_Lattices_Olattice(_u1810) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1811, _u1810)), _u1812), _u1813), _u1814) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1810), hAPP(_u1812, _u1814)), hAPP(_u1813, _u1814))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_sup__bot__left ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_sup__bot__left-1, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u1815) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1815), c_Orderings_Obot__class_Obot(_u1815)), _u1816) = _u1816) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_sup__bot__right ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_sup__bot__right-1, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u1817) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1817), _u1818), c_Orderings_Obot__class_Obot(_u1817)) = _u1818) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_sup__eq__bot__iff ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_sup__eq__bot__iff-1, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u1819) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1819), _u1820), _u1821) != c_Orderings_Obot__class_Obot(_u1819)) | ( _u1820 = c_Orderings_Obot__class_Obot(_u1819)) )).
% 39.89/40.04 cnf(fact_sup__eq__bot__iff-2, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u1819) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1819), _u1820), _u1821) != c_Orderings_Obot__class_Obot(_u1819)) | ( _u1821 = c_Orderings_Obot__class_Obot(_u1819)) )).
% 39.89/40.04 cnf(fact_sup__eq__bot__iff-3, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u1819) | ( _u1820 != c_Orderings_Obot__class_Obot(_u1819)) | ( _u1821 != c_Orderings_Obot__class_Obot(_u1819)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1819), _u1820), _u1821) = c_Orderings_Obot__class_Obot(_u1819)) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_inf__sup__ord_I3_J ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_inf__sup__ord_I3_J-1, axiom, ( ~class_Lattices_Olattice(_u1822) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1822), _u1823), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1822), _u1823), _u1824))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_sup__ge1 ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_sup__ge1-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u1825) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1825), _u1826), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1825), _u1826), _u1827))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_inf__sup__ord_I4_J ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_inf__sup__ord_I4_J-1, axiom, ( ~class_Lattices_Olattice(_u1828) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1828), _u1829), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1828), _u1830), _u1829))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_sup__ge2 ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_sup__ge2-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u1831) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1831), _u1832), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1831), _u1833), _u1832))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_le__iff__sup ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_le__iff__sup-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u1834) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1834), _u1835), _u1836)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1834), _u1835), _u1836) = _u1836) )).
% 39.89/40.04 cnf(fact_le__iff__sup-2, axiom, ( ~class_Lattices_Osemilattice__sup(_u1834) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1834), _u1835), _u1836) != _u1836) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1834), _u1835), _u1836)) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_sup_Oidem ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_sup_Oidem-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u1837) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1837), _u1838), _u1838) = _u1838) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_sup__idem ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_sup__idem-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u1839) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1839), _u1840), _u1840) = _u1840) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_sup_Ocommute ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_sup_Ocommute-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u1841) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1841), _u1842), _u1843) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1841), _u1843), _u1842)) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_inf__sup__aci_I5_J ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_inf__sup__aci_I5_J-1, axiom, ( ~class_Lattices_Olattice(_u1844) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1844), _u1845), _u1846) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1844), _u1846), _u1845)) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_sup__commute ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_sup__commute-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u1847) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1847), _u1848), _u1849) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1847), _u1849), _u1848)) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_sup_Oleft__idem ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_sup_Oleft__idem-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u1850) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1850), _u1851), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1850), _u1851), _u1852)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1850), _u1851), _u1852)) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_inf__sup__aci_I8_J ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_inf__sup__aci_I8_J-1, axiom, ( ~class_Lattices_Olattice(_u1853) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1853), _u1854), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1853), _u1854), _u1855)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1853), _u1854), _u1855)) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_sup__left__idem ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_sup__left__idem-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u1856) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1856), _u1857), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1856), _u1857), _u1858)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1856), _u1857), _u1858)) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_sup_Oleft__commute ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_sup_Oleft__commute-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u1859) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1859), _u1860), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1859), _u1861), _u1862)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1859), _u1861), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1859), _u1860), _u1862))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_inf__sup__aci_I7_J ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_inf__sup__aci_I7_J-1, axiom, ( ~class_Lattices_Olattice(_u1863) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1863), _u1864), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1863), _u1865), _u1866)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1863), _u1865), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1863), _u1864), _u1866))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_sup__left__commute ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_sup__left__commute-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u1867) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1867), _u1868), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1867), _u1869), _u1870)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1867), _u1869), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1867), _u1868), _u1870))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_sup_Oassoc ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_sup_Oassoc-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u1871) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1871), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1871), _u1872), _u1873)), _u1874) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1871), _u1872), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1871), _u1873), _u1874))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_inf__sup__aci_I6_J ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_inf__sup__aci_I6_J-1, axiom, ( ~class_Lattices_Olattice(_u1875) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1875), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1875), _u1876), _u1877)), _u1878) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1875), _u1876), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1875), _u1877), _u1878))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_sup__assoc ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_sup__assoc-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u1879) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1879), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1879), _u1880), _u1881)), _u1882) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1879), _u1880), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1879), _u1881), _u1882))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_le__supE ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_le__supE-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u1883) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1883), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1883), _u1884), _u1885)), _u1886)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1883), _u1884), _u1886)) )).
% 39.89/40.04 cnf(fact_le__supE-2, axiom, ( ~class_Lattices_Osemilattice__sup(_u1883) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1883), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1883), _u1884), _u1885)), _u1886)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1883), _u1885), _u1886)) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_sup__mono ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_sup__mono-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u1887) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1887), _u1888), _u1889)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1887), _u1890), _u1891)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1887), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1887), _u1888), _u1890)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1887), _u1889), _u1891))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_sup__least ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_sup__least-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u1892) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1892), _u1893), _u1894)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1892), _u1895), _u1894)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1892), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1892), _u1893), _u1895)), _u1894)) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_le__supI ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_le__supI-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u1896) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1896), _u1897), _u1898)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1896), _u1899), _u1898)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1896), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1896), _u1897), _u1899)), _u1898)) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_sup__absorb1 ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_sup__absorb1-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u1900) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1900), _u1901), _u1902)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1900), _u1902), _u1901) = _u1902) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_sup__absorb2 ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_sup__absorb2-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u1903) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1903), _u1904), _u1905)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1903), _u1904), _u1905) = _u1905) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_le__supI2 ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_le__supI2-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u1906) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1906), _u1907), _u1908)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1906), _u1907), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1906), _u1909), _u1908))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_le__supI1 ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_le__supI1-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u1910) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1910), _u1911), _u1912)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1910), _u1911), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1910), _u1912), _u1913))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_le__sup__iff ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_le__sup__iff-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u1914) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1914), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1914), _u1915), _u1916)), _u1917)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1914), _u1915), _u1917)) )).
% 39.89/40.04 cnf(fact_le__sup__iff-2, axiom, ( ~class_Lattices_Osemilattice__sup(_u1914) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1914), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1914), _u1915), _u1916)), _u1917)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1914), _u1916), _u1917)) )).
% 39.89/40.04 cnf(fact_le__sup__iff-3, axiom, ( ~class_Lattices_Osemilattice__sup(_u1914) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1914), _u1915), _u1917)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1914), _u1916), _u1917)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1914), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1914), _u1915), _u1916)), _u1917)) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_coinduct3__mono__lemma ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_coinduct3__mono__lemma-1, axiom, ( ~class_Orderings_Oorder(_u1918) | ~c_Orderings_Oorder__class_Omono(_u1918, tc_fun(_u1919, tc_HOL_Obool), _u1920) | c_Orderings_Oorder__class_Omono(_u1918, tc_fun(_u1919, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u1918, tc_fun(_u1919, tc_HOL_Obool), tc_fun(_u1919, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u1919, tc_HOL_Obool), tc_fun(tc_fun(_u1919, tc_HOL_Obool), tc_fun(_u1919, tc_HOL_Obool)), _u1918), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1919, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u1918, tc_fun(_u1919, tc_HOL_Obool), tc_fun(_u1919, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u1919, tc_HOL_Obool), tc_fun(tc_fun(_u1919, tc_HOL_Obool), tc_fun(_u1919, tc_HOL_Obool)), _u1918), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1919, tc_HOL_Obool))), _u1920)), _u1921))), _u1922)) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_the__inv__into__def ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_the__inv__into__def-1, axiom, ( ( hAPP(c_Fun_Othe__inv__into(_u1923, _u1924, _u1925, _u1926), _u1927) = c_HOL_OThe(_u1923, hAPP(hAPP(c_COMBS(_u1923, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u1923), c_fconj), hAPP(hAPP(c_COMBC(_u1923, tc_fun(_u1923, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1923)), _u1925))), hAPP(hAPP(c_COMBC(_u1923, _u1924, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u1924, tc_fun(_u1924, tc_HOL_Obool), _u1923), c_fequal), _u1926)), _u1927)))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_diff__single__insert ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_diff__single__insert-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1928, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1928, tc_HOL_Obool)), _u1929), hAPP(hAPP(c_Set_Oinsert(_u1928), _u1930), c_Orderings_Obot__class_Obot(tc_fun(_u1928, tc_HOL_Obool))))), _u1931)) | ~hBOOL(hAPP(hAPP(c_member(_u1928), _u1930), _u1929)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1928, tc_HOL_Obool)), _u1929), hAPP(hAPP(c_Set_Oinsert(_u1928), _u1930), _u1931))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_subset__insert__iff ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_subset__insert__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1936, tc_HOL_Obool)), _u1938), hAPP(hAPP(c_Set_Oinsert(_u1936), _u1940), _u1942))) | ~hBOOL(hAPP(hAPP(c_member(_u1936), _u1940), _u1938)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1936, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1936, tc_HOL_Obool)), _u1938), hAPP(hAPP(c_Set_Oinsert(_u1936), _u1940), c_Orderings_Obot__class_Obot(tc_fun(_u1936, tc_HOL_Obool))))), _u1942)) )).
% 39.89/40.04 cnf(fact_subset__insert__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1936, tc_HOL_Obool)), _u1938), hAPP(hAPP(c_Set_Oinsert(_u1936), _u1940), _u1942))) | hBOOL(hAPP(hAPP(c_member(_u1936), _u1940), _u1938)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1936, tc_HOL_Obool)), _u1938), _u1942)) )).
% 39.89/40.04 cnf(fact_subset__insert__iff-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1937, tc_HOL_Obool)), _u1939), hAPP(hAPP(c_Set_Oinsert(_u1937), _u1941), _u1943))) | hBOOL(hAPP(hAPP(c_member(_u1937), _u1941), _u1939)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1937, tc_HOL_Obool)), _u1939), _u1943)) )).
% 39.89/40.04 cnf(fact_subset__insert__iff-4, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1937, tc_HOL_Obool)), _u1939), hAPP(hAPP(c_Set_Oinsert(_u1937), _u1941), _u1943))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1937, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1937, tc_HOL_Obool)), _u1939), hAPP(hAPP(c_Set_Oinsert(_u1937), _u1941), c_Orderings_Obot__class_Obot(tc_fun(_u1937, tc_HOL_Obool))))), _u1943)) | ~hBOOL(hAPP(hAPP(c_member(_u1937), _u1941), _u1939)) )).
% 39.89/40.04 cnf(fact_subset__insert__iff-5, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1937, tc_HOL_Obool)), _u1939), hAPP(hAPP(c_Set_Oinsert(_u1937), _u1941), _u1943))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1937, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1937, tc_HOL_Obool)), _u1939), hAPP(hAPP(c_Set_Oinsert(_u1937), _u1941), c_Orderings_Obot__class_Obot(tc_fun(_u1937, tc_HOL_Obool))))), _u1943)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1937, tc_HOL_Obool)), _u1939), _u1943)) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_imageE ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_imageE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1945), _u1946), hAPP(c_Set_Oimage(_u1947, _u1945, _u1948), _u1949))) | ( _u1946 = hAPP(_u1948, skolem50(_u1949, _u1948, _u1947, _u1946))) )).
% 39.89/40.04 cnf(fact_imageE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1945), _u1946), hAPP(c_Set_Oimage(_u1947, _u1945, _u1948), _u1949))) | hBOOL(hAPP(hAPP(c_member(_u1947), skolem50(_u1949, _u1948, _u1947, _u1946)), _u1949)) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_image__subsetI ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_image__subsetI-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1953, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u1951, _u1953, _u1954), _u1952)), _u1955)) | hBOOL(hAPP(hAPP(c_member(_u1951), skolem51(_u1955, _u1954, _u1953, _u1952, _u1951)), _u1952)) )).
% 39.89/40.04 cnf(fact_image__subsetI-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1953, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u1951, _u1953, _u1954), _u1952)), _u1955)) | ~hBOOL(hAPP(hAPP(c_member(_u1953), hAPP(_u1954, skolem51(_u1955, _u1954, _u1953, _u1952, _u1951))), _u1955)) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_coinduct__set ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_coinduct__set-1, axiom, ( ~c_Orderings_Oorder__class_Omono(tc_fun(_u1956, tc_HOL_Obool), tc_fun(_u1956, tc_HOL_Obool), _u1957) | ~hBOOL(hAPP(hAPP(c_member(_u1956), _u1958), _u1959)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1956, tc_HOL_Obool)), _u1959), hAPP(_u1957, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1956, tc_HOL_Obool)), _u1959), c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u1956, tc_HOL_Obool), _u1957))))) | hBOOL(hAPP(hAPP(c_member(_u1956), _u1958), c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u1956, tc_HOL_Obool), _u1957))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_def__coinduct__set ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_def__coinduct__set-1, axiom, ( ( _u1960 != c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u1961, tc_HOL_Obool), _u1962)) | ~c_Orderings_Oorder__class_Omono(tc_fun(_u1961, tc_HOL_Obool), tc_fun(_u1961, tc_HOL_Obool), _u1962) | ~hBOOL(hAPP(hAPP(c_member(_u1961), _u1963), _u1964)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1961, tc_HOL_Obool)), _u1964), hAPP(_u1962, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1961, tc_HOL_Obool)), _u1964), _u1960)))) | hBOOL(hAPP(hAPP(c_member(_u1961), _u1963), _u1960)) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_if__image__distrib ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_if__image__distrib-1, axiom, ( ( hAPP(c_Set_Oimage(_u1965, _u1966, hAPP(hAPP(c_COMBS(_u1965, _u1966, _u1966), hAPP(hAPP(c_COMBS(_u1965, _u1966, tc_fun(_u1966, _u1966)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u1966, tc_fun(_u1966, _u1966)), _u1965), c_If(_u1966)), _u1967)), _u1968)), _u1969)), _u1970) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1966, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u1965, _u1966, _u1968), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1965, tc_HOL_Obool)), _u1970), hAPP(c_Set_OCollect(_u1965), _u1967)))), hAPP(c_Set_Oimage(_u1965, _u1966, _u1969), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1965, tc_HOL_Obool)), _u1970), hAPP(c_Set_OCollect(_u1965), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u1965), c_fNot), _u1967)))))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_Sup__fin_Oidem ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_Sup__fin_Oidem-1, axiom, ( ~class_Lattices_Olattice(_u1971) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1971), _u1972), _u1972) = _u1972) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_inf1I ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_inf1I-1, axiom, ( ~hBOOL(hAPP(_u1973, _u1974)) | ~hBOOL(hAPP(_u1975, _u1974)) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1976, tc_HOL_Obool)), _u1973), _u1975), _u1974)) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_inf1E ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_inf1E-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1977, tc_HOL_Obool)), _u1978), _u1979), _u1980)) | hBOOL(hAPP(_u1978, _u1980)) )).
% 39.89/40.04 cnf(fact_inf1E-2, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1977, tc_HOL_Obool)), _u1978), _u1979), _u1980)) | hBOOL(hAPP(_u1979, _u1980)) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_IntI ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_IntI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1981), _u1982), _u1983)) | ~hBOOL(hAPP(hAPP(c_member(_u1981), _u1982), _u1984)) | hBOOL(hAPP(hAPP(c_member(_u1981), _u1982), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1981, tc_HOL_Obool)), _u1983), _u1984))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_IntE ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_IntE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1985), _u1986), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1985, tc_HOL_Obool)), _u1987), _u1988))) | hBOOL(hAPP(hAPP(c_member(_u1985), _u1986), _u1987)) )).
% 39.89/40.04 cnf(fact_IntE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1985), _u1986), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1985, tc_HOL_Obool)), _u1987), _u1988))) | hBOOL(hAPP(hAPP(c_member(_u1985), _u1986), _u1988)) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_DiffI ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_DiffI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1989), _u1990), _u1991)) | hBOOL(hAPP(hAPP(c_member(_u1989), _u1990), _u1992)) | hBOOL(hAPP(hAPP(c_member(_u1989), _u1990), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1989, tc_HOL_Obool)), _u1991), _u1992))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_DiffE ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_DiffE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1993), _u1994), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1993, tc_HOL_Obool)), _u1995), _u1996))) | hBOOL(hAPP(hAPP(c_member(_u1993), _u1994), _u1995)) )).
% 39.89/40.04 cnf(fact_DiffE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1993), _u1994), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1993, tc_HOL_Obool)), _u1995), _u1996))) | ~hBOOL(hAPP(hAPP(c_member(_u1993), _u1994), _u1996)) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_inf_Oidem ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_inf_Oidem-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1997) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1997), _u1998), _u1998) = _u1998) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_inf__idem ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_inf__idem-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1999) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1999), _u2000), _u2000) = _u2000) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_fun__diff__def ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_fun__diff__def-1, axiom, ( ~class_Groups_Ominus(_u2001) | ( hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2002, _u2001)), _u2003), _u2004), _u2005) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2001), hAPP(_u2003, _u2005)), hAPP(_u2004, _u2005))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_inf__fun__def ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_inf__fun__def-1, axiom, ( ~class_Lattices_Olattice(_u2006) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2007, _u2006)), _u2008), _u2009), _u2010) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2006), hAPP(_u2008, _u2010)), hAPP(_u2009, _u2010))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_inf_Ocommute ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_inf_Ocommute-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u2011) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2011), _u2012), _u2013) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2011), _u2013), _u2012)) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_inf__sup__aci_I1_J ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_inf__sup__aci_I1_J-1, axiom, ( ~class_Lattices_Olattice(_u2014) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2014), _u2015), _u2016) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2014), _u2016), _u2015)) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_inf__commute ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_inf__commute-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u2017) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2017), _u2018), _u2019) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2017), _u2019), _u2018)) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_inf_Oleft__idem ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_inf_Oleft__idem-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u2020) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2020), _u2021), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2020), _u2021), _u2022)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2020), _u2021), _u2022)) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_inf__sup__aci_I4_J ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_inf__sup__aci_I4_J-1, axiom, ( ~class_Lattices_Olattice(_u2023) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2023), _u2024), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2023), _u2024), _u2025)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2023), _u2024), _u2025)) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_inf__left__idem ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_inf__left__idem-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u2026) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2026), _u2027), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2026), _u2027), _u2028)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2026), _u2027), _u2028)) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_inf_Oleft__commute ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_inf_Oleft__commute-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u2029) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2029), _u2030), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2029), _u2031), _u2032)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2029), _u2031), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2029), _u2030), _u2032))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_inf__sup__aci_I3_J ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_inf__sup__aci_I3_J-1, axiom, ( ~class_Lattices_Olattice(_u2033) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2033), _u2034), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2033), _u2035), _u2036)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2033), _u2035), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2033), _u2034), _u2036))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_inf__left__commute ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_inf__left__commute-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u2037) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2037), _u2038), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2037), _u2039), _u2040)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2037), _u2039), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2037), _u2038), _u2040))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_inf_Oassoc ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_inf_Oassoc-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u2041) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2041), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2041), _u2042), _u2043)), _u2044) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2041), _u2042), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2041), _u2043), _u2044))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_inf__sup__aci_I2_J ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_inf__sup__aci_I2_J-1, axiom, ( ~class_Lattices_Olattice(_u2045) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2045), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2045), _u2046), _u2047)), _u2048) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2045), _u2046), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2045), _u2047), _u2048))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_inf__assoc ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_inf__assoc-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u2049) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2049), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2049), _u2050), _u2051)), _u2052) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2049), _u2050), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2049), _u2051), _u2052))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_minus__apply ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_minus__apply-1, axiom, ( ~class_Groups_Ominus(_u2053) | ( hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2054, _u2053)), _u2055), _u2056), _u2057) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2053), hAPP(_u2055, _u2057)), hAPP(_u2056, _u2057))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_inf__apply ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_inf__apply-1, axiom, ( ~class_Lattices_Olattice(_u2058) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2059, _u2058)), _u2060), _u2061), _u2062) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2058), hAPP(_u2060, _u2062)), hAPP(_u2061, _u2062))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_Diff__disjoint ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_Diff__disjoint-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2063, tc_HOL_Obool)), _u2064), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2063, tc_HOL_Obool)), _u2065), _u2064)) = c_Orderings_Obot__class_Obot(tc_fun(_u2063, tc_HOL_Obool))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_Diff__triv ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_Diff__triv-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2066, tc_HOL_Obool)), _u2067), _u2068) != c_Orderings_Obot__class_Obot(tc_fun(_u2066, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2066, tc_HOL_Obool)), _u2067), _u2068) = _u2067) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_Int__absorb ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_Int__absorb-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2069, tc_HOL_Obool)), _u2070), _u2070) = _u2070) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_Int__commute ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_Int__commute-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2071, tc_HOL_Obool)), _u2072), _u2073) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2071, tc_HOL_Obool)), _u2073), _u2072)) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_Int__left__absorb ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_Int__left__absorb-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2074, tc_HOL_Obool)), _u2075), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2074, tc_HOL_Obool)), _u2075), _u2076)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2074, tc_HOL_Obool)), _u2075), _u2076)) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_Int__left__commute ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_Int__left__commute-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2077, tc_HOL_Obool)), _u2078), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2077, tc_HOL_Obool)), _u2079), _u2080)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2077, tc_HOL_Obool)), _u2079), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2077, tc_HOL_Obool)), _u2078), _u2080))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_Diff__Int__distrib ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_Diff__Int__distrib-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2081, tc_HOL_Obool)), _u2082), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2081, tc_HOL_Obool)), _u2083), _u2084)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2081, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2081, tc_HOL_Obool)), _u2082), _u2083)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2081, tc_HOL_Obool)), _u2082), _u2084))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_Diff__idemp ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_Diff__idemp-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2085, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2085, tc_HOL_Obool)), _u2086), _u2087)), _u2087) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2085, tc_HOL_Obool)), _u2086), _u2087)) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_Int__Diff ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_Int__Diff-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2088, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2088, tc_HOL_Obool)), _u2089), _u2090)), _u2091) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2088, tc_HOL_Obool)), _u2089), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2088, tc_HOL_Obool)), _u2090), _u2091))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_Int__assoc ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_Int__assoc-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2092, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2092, tc_HOL_Obool)), _u2093), _u2094)), _u2095) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2092, tc_HOL_Obool)), _u2093), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2092, tc_HOL_Obool)), _u2094), _u2095))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_Diff__Int__distrib2 ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_Diff__Int__distrib2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2096, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2096, tc_HOL_Obool)), _u2097), _u2098)), _u2099) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2096, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2096, tc_HOL_Obool)), _u2097), _u2099)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2096, tc_HOL_Obool)), _u2098), _u2099))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_Diff__Int2 ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_Diff__Int2-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2100, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2100, tc_HOL_Obool)), _u2101), _u2102)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2100, tc_HOL_Obool)), _u2103), _u2102)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2100, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2100, tc_HOL_Obool)), _u2101), _u2102)), _u2103)) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_Inf__fin_Oidem ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_Inf__fin_Oidem-1, axiom, ( ~class_Lattices_Olattice(_u2104) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2104), _u2105), _u2105) = _u2105) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_inf1D1 ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_inf1D1-1, axiom, ( hBOOL(hAPP(_u2107, _u2109)) | ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2106, tc_HOL_Obool)), _u2107), _u2108), _u2109)) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_inf1D2 ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_inf1D2-1, axiom, ( hBOOL(hAPP(_u2112, _u2113)) | ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2110, tc_HOL_Obool)), _u2111), _u2112), _u2113)) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_Diff__Int ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_Diff__Int-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2114, tc_HOL_Obool)), _u2115), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2114, tc_HOL_Obool)), _u2116), _u2117)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2114, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2114, tc_HOL_Obool)), _u2115), _u2116)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2114, tc_HOL_Obool)), _u2115), _u2117))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_Diff__Un ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_Diff__Un-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2118, tc_HOL_Obool)), _u2119), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2118, tc_HOL_Obool)), _u2120), _u2121)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2118, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2118, tc_HOL_Obool)), _u2119), _u2120)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2118, tc_HOL_Obool)), _u2119), _u2121))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_Un__Diff__Int ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_Un__Diff__Int-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2122, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2122, tc_HOL_Obool)), _u2123), _u2124)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2122, tc_HOL_Obool)), _u2123), _u2124)) = _u2123) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_Pow__Int__eq ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_Pow__Int__eq-1, axiom, ( ( hAPP(c_Set_OPow(_u2125), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2125, tc_HOL_Obool)), _u2126), _u2127)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(_u2125, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u2125), _u2126)), hAPP(c_Set_OPow(_u2125), _u2127))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_gfp__upperbound ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_gfp__upperbound-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2128) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2128), _u2129), hAPP(_u2130, _u2129))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2128), _u2129), c_Inductive_Ocomplete__lattice__class_Ogfp(_u2128, _u2130))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_def__gfp__unfold ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_def__gfp__unfold-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2131) | ( _u2132 != c_Inductive_Ocomplete__lattice__class_Ogfp(_u2131, _u2133)) | ~c_Orderings_Oorder__class_Omono(_u2131, _u2131, _u2133) | ( _u2132 = hAPP(_u2133, _u2132)) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_gfp__unfold ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_gfp__unfold-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2134) | ~c_Orderings_Oorder__class_Omono(_u2134, _u2134, _u2135) | ( c_Inductive_Ocomplete__lattice__class_Ogfp(_u2134, _u2135) = hAPP(_u2135, c_Inductive_Ocomplete__lattice__class_Ogfp(_u2134, _u2135))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_inf__sup__ord_I1_J ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_inf__sup__ord_I1_J-1, axiom, ( ~class_Lattices_Olattice(_u2136) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2136), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2136), _u2137), _u2138)), _u2137)) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_inf__le1 ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_inf__le1-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u2139) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2139), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2139), _u2140), _u2141)), _u2140)) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_inf__sup__ord_I2_J ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_inf__sup__ord_I2_J-1, axiom, ( ~class_Lattices_Olattice(_u2142) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2142), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2142), _u2143), _u2144)), _u2144)) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_inf__le2 ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_inf__le2-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u2145) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2145), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2145), _u2146), _u2147)), _u2147)) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_le__iff__inf ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_le__iff__inf-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u2148) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2148), _u2149), _u2150)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2148), _u2149), _u2150) = _u2149) )).
% 39.89/40.04 cnf(fact_le__iff__inf-2, axiom, ( ~class_Lattices_Osemilattice__inf(_u2148) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2148), _u2149), _u2150) != _u2149) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2148), _u2149), _u2150)) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_le__inf__iff ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_le__inf__iff-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u2151) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2151), _u2152), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2151), _u2153), _u2154))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2151), _u2152), _u2153)) )).
% 39.89/40.04 cnf(fact_le__inf__iff-2, axiom, ( ~class_Lattices_Osemilattice__inf(_u2151) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2151), _u2152), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2151), _u2153), _u2154))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2151), _u2152), _u2154)) )).
% 39.89/40.04 cnf(fact_le__inf__iff-3, axiom, ( ~class_Lattices_Osemilattice__inf(_u2151) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2151), _u2152), _u2153)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2151), _u2152), _u2154)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2151), _u2152), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2151), _u2153), _u2154))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_le__infI1 ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_le__infI1-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u2155) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2155), _u2156), _u2157)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2155), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2155), _u2156), _u2158)), _u2157)) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_le__infI2 ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_le__infI2-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u2159) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2159), _u2160), _u2161)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2159), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2159), _u2162), _u2160)), _u2161)) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_inf__absorb1 ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_inf__absorb1-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u2163) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2163), _u2164), _u2165)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2163), _u2164), _u2165) = _u2164) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_inf__absorb2 ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_inf__absorb2-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u2166) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2166), _u2167), _u2168)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2166), _u2168), _u2167) = _u2167) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_le__infI ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_le__infI-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u2169) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2169), _u2170), _u2171)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2169), _u2170), _u2172)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2169), _u2170), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2169), _u2171), _u2172))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_inf__greatest ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_inf__greatest-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u2173) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2173), _u2174), _u2175)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2173), _u2174), _u2176)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2173), _u2174), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2173), _u2175), _u2176))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_inf__mono ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_inf__mono-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u2177) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2177), _u2178), _u2179)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2177), _u2180), _u2181)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2177), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2177), _u2178), _u2180)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2177), _u2179), _u2181))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_le__infE ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_le__infE-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u2182) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2182), _u2183), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2182), _u2184), _u2185))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2182), _u2183), _u2184)) )).
% 39.89/40.04 cnf(fact_le__infE-2, axiom, ( ~class_Lattices_Osemilattice__inf(_u2182) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2182), _u2183), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2182), _u2184), _u2185))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2182), _u2183), _u2185)) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_inf__bot__left ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_inf__bot__left-1, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u2186) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2186), c_Orderings_Obot__class_Obot(_u2186)), _u2187) = c_Orderings_Obot__class_Obot(_u2186)) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_inf__bot__right ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_inf__bot__right-1, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u2188) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2188), _u2189), c_Orderings_Obot__class_Obot(_u2188)) = c_Orderings_Obot__class_Obot(_u2188)) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_sup__inf__distrib2 ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_sup__inf__distrib2-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u2190) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2190), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2190), _u2191), _u2192)), _u2193) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2190), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2190), _u2191), _u2193)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2190), _u2192), _u2193))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_inf__sup__distrib2 ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_inf__sup__distrib2-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u2194) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2194), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2194), _u2195), _u2196)), _u2197) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2194), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2194), _u2195), _u2197)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2194), _u2196), _u2197))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_sup__inf__distrib1 ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_sup__inf__distrib1-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u2198) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2198), _u2199), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2198), _u2200), _u2201)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2198), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2198), _u2199), _u2200)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2198), _u2199), _u2201))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_inf__sup__distrib1 ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_inf__sup__distrib1-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u2202) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2202), _u2203), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2202), _u2204), _u2205)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2202), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2202), _u2203), _u2204)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2202), _u2203), _u2205))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_sup__inf__absorb ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_sup__inf__absorb-1, axiom, ( ~class_Lattices_Olattice(_u2206) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2206), _u2207), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2206), _u2207), _u2208)) = _u2207) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_inf__sup__absorb ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_inf__sup__absorb-1, axiom, ( ~class_Lattices_Olattice(_u2209) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2209), _u2210), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2209), _u2210), _u2211)) = _u2210) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_Diff__iff ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_Diff__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2216), _u2218), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2216, tc_HOL_Obool)), _u2220), _u2222))) | hBOOL(hAPP(hAPP(c_member(_u2216), _u2218), _u2220)) )).
% 39.89/40.04 cnf(fact_Diff__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2216), _u2218), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2216, tc_HOL_Obool)), _u2220), _u2222))) | ~hBOOL(hAPP(hAPP(c_member(_u2216), _u2218), _u2222)) )).
% 39.89/40.04 cnf(fact_Diff__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2217), _u2219), _u2221)) | hBOOL(hAPP(hAPP(c_member(_u2217), _u2219), _u2223)) | hBOOL(hAPP(hAPP(c_member(_u2217), _u2219), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2217, tc_HOL_Obool)), _u2221), _u2223))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_DiffD1 ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_DiffD1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2224), _u2225), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2224, tc_HOL_Obool)), _u2226), _u2227))) | hBOOL(hAPP(hAPP(c_member(_u2224), _u2225), _u2226)) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_DiffD2 ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_DiffD2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2228), _u2229), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2228, tc_HOL_Obool)), _u2230), _u2231))) | ~hBOOL(hAPP(hAPP(c_member(_u2228), _u2229), _u2231)) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_Int__iff ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_Int__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2236), _u2238), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2236, tc_HOL_Obool)), _u2240), _u2242))) | hBOOL(hAPP(hAPP(c_member(_u2236), _u2238), _u2240)) )).
% 39.89/40.04 cnf(fact_Int__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2236), _u2238), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2236, tc_HOL_Obool)), _u2240), _u2242))) | hBOOL(hAPP(hAPP(c_member(_u2236), _u2238), _u2242)) )).
% 39.89/40.04 cnf(fact_Int__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2237), _u2239), _u2241)) | ~hBOOL(hAPP(hAPP(c_member(_u2237), _u2239), _u2243)) | hBOOL(hAPP(hAPP(c_member(_u2237), _u2239), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2237, tc_HOL_Obool)), _u2241), _u2243))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_IntD1 ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_IntD1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2244), _u2245), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2244, tc_HOL_Obool)), _u2246), _u2247))) | hBOOL(hAPP(hAPP(c_member(_u2244), _u2245), _u2246)) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_IntD2 ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_IntD2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2248), _u2249), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2248, tc_HOL_Obool)), _u2250), _u2251))) | hBOOL(hAPP(hAPP(c_member(_u2248), _u2249), _u2251)) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_empty__Diff ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_empty__Diff-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2252, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u2252, tc_HOL_Obool))), _u2253) = c_Orderings_Obot__class_Obot(tc_fun(_u2252, tc_HOL_Obool))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_Diff__empty ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_Diff__empty-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2254, tc_HOL_Obool)), _u2255), c_Orderings_Obot__class_Obot(tc_fun(_u2254, tc_HOL_Obool))) = _u2255) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_Diff__cancel ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_Diff__cancel-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2256, tc_HOL_Obool)), _u2257), _u2257) = c_Orderings_Obot__class_Obot(tc_fun(_u2256, tc_HOL_Obool))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_Int__empty__left ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_Int__empty__left-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2258, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u2258, tc_HOL_Obool))), _u2259) = c_Orderings_Obot__class_Obot(tc_fun(_u2258, tc_HOL_Obool))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_Int__empty__right ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_Int__empty__right-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2260, tc_HOL_Obool)), _u2261), c_Orderings_Obot__class_Obot(tc_fun(_u2260, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u2260, tc_HOL_Obool))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_disjoint__iff__not__equal ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_disjoint__iff__not__equal-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2269, tc_HOL_Obool)), _u2271), _u2273) != c_Orderings_Obot__class_Obot(tc_fun(_u2269, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u2269), _u2263), _u2271)) | ~hBOOL(hAPP(hAPP(c_member(_u2269), _u2262), _u2273)) | ( _u2263 != _u2262) )).
% 39.89/40.04 cnf(fact_disjoint__iff__not__equal-2, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2270, tc_HOL_Obool)), _u2272), _u2274) = c_Orderings_Obot__class_Obot(tc_fun(_u2270, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u2270), skolem52(_u2274, _u2272, _u2270)), _u2272)) )).
% 39.89/40.04 cnf(fact_disjoint__iff__not__equal-3, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2270, tc_HOL_Obool)), _u2272), _u2274) = c_Orderings_Obot__class_Obot(tc_fun(_u2270, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u2270), skolem53(_u2274, _u2272, _u2270)), _u2274)) )).
% 39.89/40.04 cnf(fact_disjoint__iff__not__equal-4, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2270, tc_HOL_Obool)), _u2272), _u2274) = c_Orderings_Obot__class_Obot(tc_fun(_u2270, tc_HOL_Obool))) | ( skolem52(_u2274, _u2272, _u2270) = skolem53(_u2274, _u2272, _u2270)) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_Diff__subset ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_Diff__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2275, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2275, tc_HOL_Obool)), _u2276), _u2277)), _u2276)) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_Diff__mono ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_Diff__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2278, tc_HOL_Obool)), _u2279), _u2280)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2278, tc_HOL_Obool)), _u2281), _u2282)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2278, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2278, tc_HOL_Obool)), _u2279), _u2282)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2278, tc_HOL_Obool)), _u2280), _u2281))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_double__diff ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_double__diff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2283, tc_HOL_Obool)), _u2284), _u2285)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2283, tc_HOL_Obool)), _u2285), _u2286)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2283, tc_HOL_Obool)), _u2285), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2283, tc_HOL_Obool)), _u2286), _u2284)) = _u2284) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_insert__inter__insert ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_insert__inter__insert-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2287, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u2287), _u2288), _u2289)), hAPP(hAPP(c_Set_Oinsert(_u2287), _u2288), _u2290)) = hAPP(hAPP(c_Set_Oinsert(_u2287), _u2288), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2287, tc_HOL_Obool)), _u2289), _u2290))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_Un__Diff__cancel ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_Un__Diff__cancel-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2291, tc_HOL_Obool)), _u2292), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2291, tc_HOL_Obool)), _u2293), _u2292)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2291, tc_HOL_Obool)), _u2292), _u2293)) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_Un__Diff__cancel2 ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_Un__Diff__cancel2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2294, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2294, tc_HOL_Obool)), _u2295), _u2296)), _u2296) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2294, tc_HOL_Obool)), _u2295), _u2296)) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_Un__Diff ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_Un__Diff-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2297, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2297, tc_HOL_Obool)), _u2298), _u2299)), _u2300) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2297, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2297, tc_HOL_Obool)), _u2298), _u2300)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2297, tc_HOL_Obool)), _u2299), _u2300))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_Int__lower1 ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_Int__lower1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2301, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2301, tc_HOL_Obool)), _u2302), _u2303)), _u2302)) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_Int__lower2 ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_Int__lower2-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2304, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2304, tc_HOL_Obool)), _u2305), _u2306)), _u2306)) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_Int__absorb2 ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_Int__absorb2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2307, tc_HOL_Obool)), _u2308), _u2309)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2307, tc_HOL_Obool)), _u2308), _u2309) = _u2308) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_Int__absorb1 ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_Int__absorb1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2310, tc_HOL_Obool)), _u2311), _u2312)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2310, tc_HOL_Obool)), _u2312), _u2311) = _u2311) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_Int__greatest ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_Int__greatest-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2313, tc_HOL_Obool)), _u2314), _u2315)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2313, tc_HOL_Obool)), _u2314), _u2316)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2313, tc_HOL_Obool)), _u2314), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2313, tc_HOL_Obool)), _u2315), _u2316))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_Int__mono ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_Int__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2317, tc_HOL_Obool)), _u2318), _u2319)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2317, tc_HOL_Obool)), _u2320), _u2321)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2317, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2317, tc_HOL_Obool)), _u2318), _u2320)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2317, tc_HOL_Obool)), _u2319), _u2321))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_Int__Un__distrib ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_Int__Un__distrib-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2322, tc_HOL_Obool)), _u2323), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2322, tc_HOL_Obool)), _u2324), _u2325)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2322, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2322, tc_HOL_Obool)), _u2323), _u2324)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2322, tc_HOL_Obool)), _u2323), _u2325))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_Un__Int__distrib ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_Un__Int__distrib-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2326, tc_HOL_Obool)), _u2327), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2326, tc_HOL_Obool)), _u2328), _u2329)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2326, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2326, tc_HOL_Obool)), _u2327), _u2328)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2326, tc_HOL_Obool)), _u2327), _u2329))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_Int__Un__distrib2 ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_Int__Un__distrib2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2330, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2330, tc_HOL_Obool)), _u2331), _u2332)), _u2333) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2330, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2330, tc_HOL_Obool)), _u2331), _u2333)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2330, tc_HOL_Obool)), _u2332), _u2333))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_Un__Int__distrib2 ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_Un__Int__distrib2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2334, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2334, tc_HOL_Obool)), _u2335), _u2336)), _u2337) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2334, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2334, tc_HOL_Obool)), _u2335), _u2337)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2334, tc_HOL_Obool)), _u2336), _u2337))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_Un__Int__crazy ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_Un__Int__crazy-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2338, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2338, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2338, tc_HOL_Obool)), _u2339), _u2340)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2338, tc_HOL_Obool)), _u2340), _u2341))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2338, tc_HOL_Obool)), _u2341), _u2339)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2338, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2338, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2338, tc_HOL_Obool)), _u2339), _u2340)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2338, tc_HOL_Obool)), _u2340), _u2341))), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2338, tc_HOL_Obool)), _u2341), _u2339))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_inf__Int__eq ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_inf__Int__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2346, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u2346, tc_fun(_u2346, tc_HOL_Obool), tc_HOL_Obool), c_member(_u2346)), _u2348)), hAPP(hAPP(c_COMBC(_u2346, tc_fun(_u2346, tc_HOL_Obool), tc_HOL_Obool), c_member(_u2346)), _u2350)), _u2352)) | hBOOL(hAPP(hAPP(c_member(_u2346), _u2352), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2346, tc_HOL_Obool)), _u2348), _u2350))) )).
% 39.89/40.04 cnf(fact_inf__Int__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2347), _u2353), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2347, tc_HOL_Obool)), _u2349), _u2351))) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2347, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u2347, tc_fun(_u2347, tc_HOL_Obool), tc_HOL_Obool), c_member(_u2347)), _u2349)), hAPP(hAPP(c_COMBC(_u2347, tc_fun(_u2347, tc_HOL_Obool), tc_HOL_Obool), c_member(_u2347)), _u2351)), _u2353)) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_weak__coinduct ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_weak__coinduct-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2354), _u2355), _u2356)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2354, tc_HOL_Obool)), _u2356), hAPP(_u2357, _u2356))) | hBOOL(hAPP(hAPP(c_member(_u2354), _u2355), c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u2354, tc_HOL_Obool), _u2357))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_Collect__conj__eq ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_Collect__conj__eq-1, axiom, ( ( hAPP(c_Set_OCollect(_u2358), hAPP(hAPP(c_COMBS(_u2358, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u2358), c_fconj), _u2359)), _u2360)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2358, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u2358), _u2359)), hAPP(c_Set_OCollect(_u2358), _u2360))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_gfp__lemma3 ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_gfp__lemma3-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2361) | ~c_Orderings_Oorder__class_Omono(_u2361, _u2361, _u2362) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2361), hAPP(_u2362, c_Inductive_Ocomplete__lattice__class_Ogfp(_u2361, _u2362))), c_Inductive_Ocomplete__lattice__class_Ogfp(_u2361, _u2362))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_gfp__lemma2 ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_gfp__lemma2-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2363) | ~c_Orderings_Oorder__class_Omono(_u2363, _u2363, _u2364) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2363), c_Inductive_Ocomplete__lattice__class_Ogfp(_u2363, _u2364)), hAPP(_u2364, c_Inductive_Ocomplete__lattice__class_Ogfp(_u2363, _u2364)))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_distrib__inf__le ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_distrib__inf__le-1, axiom, ( ~class_Lattices_Olattice(_u2365) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2365), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2365), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2365), _u2366), _u2367)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2365), _u2366), _u2368))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2365), _u2366), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2365), _u2367), _u2368)))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_distrib__sup__le ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_distrib__sup__le-1, axiom, ( ~class_Lattices_Olattice(_u2369) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2369), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2369), _u2370), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2369), _u2371), _u2372))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2369), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2369), _u2370), _u2371)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2369), _u2370), _u2372)))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_insert__Diff1 ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_insert__Diff1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2373), _u2374), _u2375)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2373, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u2373), _u2374), _u2376)), _u2375) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2373, tc_HOL_Obool)), _u2376), _u2375)) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_insert__Diff__if ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_insert__Diff__if-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2381), _u2383), _u2385)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2381, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u2381), _u2383), _u2387)), _u2385) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2381, tc_HOL_Obool)), _u2387), _u2385)) )).
% 39.89/40.04 cnf(fact_insert__Diff__if-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u2382), _u2384), _u2386)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2382, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u2382), _u2384), _u2388)), _u2386) = hAPP(hAPP(c_Set_Oinsert(_u2382), _u2384), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2382, tc_HOL_Obool)), _u2388), _u2386))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_Diff__insert ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_Diff__insert-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2389, tc_HOL_Obool)), _u2390), hAPP(hAPP(c_Set_Oinsert(_u2389), _u2391), _u2392)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2389, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2389, tc_HOL_Obool)), _u2390), _u2392)), hAPP(hAPP(c_Set_Oinsert(_u2389), _u2391), c_Orderings_Obot__class_Obot(tc_fun(_u2389, tc_HOL_Obool))))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_Diff__insert2 ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_Diff__insert2-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2393, tc_HOL_Obool)), _u2394), hAPP(hAPP(c_Set_Oinsert(_u2393), _u2395), _u2396)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2393, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2393, tc_HOL_Obool)), _u2394), hAPP(hAPP(c_Set_Oinsert(_u2393), _u2395), c_Orderings_Obot__class_Obot(tc_fun(_u2393, tc_HOL_Obool))))), _u2396)) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_insert__Diff__single ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_insert__Diff__single-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u2397), _u2398), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2397, tc_HOL_Obool)), _u2399), hAPP(hAPP(c_Set_Oinsert(_u2397), _u2398), c_Orderings_Obot__class_Obot(tc_fun(_u2397, tc_HOL_Obool))))) = hAPP(hAPP(c_Set_Oinsert(_u2397), _u2398), _u2399)) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_Int__insert__left__if1 ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_Int__insert__left__if1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2400), _u2401), _u2402)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2400, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u2400), _u2401), _u2403)), _u2402) = hAPP(hAPP(c_Set_Oinsert(_u2400), _u2401), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2400, tc_HOL_Obool)), _u2403), _u2402))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_Int__insert__right__if1 ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_Int__insert__right__if1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2404), _u2405), _u2406)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2404, tc_HOL_Obool)), _u2406), hAPP(hAPP(c_Set_Oinsert(_u2404), _u2405), _u2407)) = hAPP(hAPP(c_Set_Oinsert(_u2404), _u2405), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2404, tc_HOL_Obool)), _u2406), _u2407))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_Int__insert__left__if0 ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_Int__insert__left__if0-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u2408), _u2409), _u2410)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2408, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u2408), _u2409), _u2411)), _u2410) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2408, tc_HOL_Obool)), _u2411), _u2410)) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_Int__insert__right__if0 ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_Int__insert__right__if0-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u2412), _u2413), _u2414)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2412, tc_HOL_Obool)), _u2414), hAPP(hAPP(c_Set_Oinsert(_u2412), _u2413), _u2415)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2412, tc_HOL_Obool)), _u2414), _u2415)) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_Int__insert__left ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_Int__insert__left-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2420), _u2422), _u2424)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2420, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u2420), _u2422), _u2426)), _u2424) = hAPP(hAPP(c_Set_Oinsert(_u2420), _u2422), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2420, tc_HOL_Obool)), _u2426), _u2424))) )).
% 39.89/40.04 cnf(fact_Int__insert__left-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u2421), _u2423), _u2425)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2421, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u2421), _u2423), _u2427)), _u2425) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2421, tc_HOL_Obool)), _u2427), _u2425)) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_Int__insert__right ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_Int__insert__right-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2432), _u2434), _u2436)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2432, tc_HOL_Obool)), _u2436), hAPP(hAPP(c_Set_Oinsert(_u2432), _u2434), _u2438)) = hAPP(hAPP(c_Set_Oinsert(_u2432), _u2434), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2432, tc_HOL_Obool)), _u2436), _u2438))) )).
% 39.89/40.04 cnf(fact_Int__insert__right-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u2433), _u2435), _u2437)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2433, tc_HOL_Obool)), _u2437), hAPP(hAPP(c_Set_Oinsert(_u2433), _u2435), _u2439)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2433, tc_HOL_Obool)), _u2437), _u2439)) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_image__diff__subset ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_image__diff__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2440, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2440, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u2441, _u2440, _u2442), _u2443)), hAPP(c_Set_Oimage(_u2441, _u2440, _u2442), _u2444))), hAPP(c_Set_Oimage(_u2441, _u2440, _u2442), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2441, tc_HOL_Obool)), _u2443), _u2444)))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_mono__inf ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_mono__inf-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u2445) | ~class_Lattices_Osemilattice__inf(_u2446) | ~c_Orderings_Oorder__class_Omono(_u2446, _u2445, _u2447) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2445), hAPP(_u2447, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2446), _u2448), _u2449))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2445), hAPP(_u2447, _u2448)), hAPP(_u2447, _u2449)))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_Diff__partition ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_Diff__partition-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2450, tc_HOL_Obool)), _u2451), _u2452)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2450, tc_HOL_Obool)), _u2451), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2450, tc_HOL_Obool)), _u2452), _u2451)) = _u2452) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_Diff__subset__conv ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_Diff__subset__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2457, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2457, tc_HOL_Obool)), _u2459), _u2461)), _u2463)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2457, tc_HOL_Obool)), _u2459), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2457, tc_HOL_Obool)), _u2461), _u2463))) )).
% 39.89/40.04 cnf(fact_Diff__subset__conv-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2458, tc_HOL_Obool)), _u2460), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2458, tc_HOL_Obool)), _u2462), _u2464))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2458, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2458, tc_HOL_Obool)), _u2460), _u2462)), _u2464)) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_image__Int__subset ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_image__Int__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2465, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u2466, _u2465, _u2467), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2466, tc_HOL_Obool)), _u2468), _u2469))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2465, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u2466, _u2465, _u2467), _u2468)), hAPP(c_Set_Oimage(_u2466, _u2465, _u2467), _u2469)))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_Un__Int__assoc__eq ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_Un__Int__assoc__eq-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2474, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2474, tc_HOL_Obool)), _u2476), _u2478)), _u2480) != hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2474, tc_HOL_Obool)), _u2476), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2474, tc_HOL_Obool)), _u2478), _u2480))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2474, tc_HOL_Obool)), _u2480), _u2476)) )).
% 39.89/40.04 cnf(fact_Un__Int__assoc__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2475, tc_HOL_Obool)), _u2481), _u2477)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2475, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2475, tc_HOL_Obool)), _u2477), _u2479)), _u2481) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2475, tc_HOL_Obool)), _u2477), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2475, tc_HOL_Obool)), _u2479), _u2481))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_weak__coinduct__image ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_weak__coinduct__image-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2482), _u2483), _u2484)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2485, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u2482, _u2485, _u2486), _u2484)), hAPP(_u2487, hAPP(c_Set_Oimage(_u2482, _u2485, _u2486), _u2484)))) | hBOOL(hAPP(hAPP(c_member(_u2485), hAPP(_u2486, _u2483)), c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u2485, tc_HOL_Obool), _u2487))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_set__diff__eq ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_set__diff__eq-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2488, tc_HOL_Obool)), _u2489), _u2490) = hAPP(c_Set_OCollect(_u2488), hAPP(hAPP(c_COMBS(_u2488, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u2488), c_fconj), hAPP(hAPP(c_COMBC(_u2488, tc_fun(_u2488, tc_HOL_Obool), tc_HOL_Obool), c_member(_u2488)), _u2489))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u2488), c_fNot), hAPP(hAPP(c_COMBC(_u2488, tc_fun(_u2488, tc_HOL_Obool), tc_HOL_Obool), c_member(_u2488)), _u2490))))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_mono__Int ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_mono__Int-1, axiom, ( ~c_Orderings_Oorder__class_Omono(tc_fun(_u2491, tc_HOL_Obool), tc_fun(_u2492, tc_HOL_Obool), _u2493) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2492, tc_HOL_Obool)), hAPP(_u2493, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2491, tc_HOL_Obool)), _u2494), _u2495))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2492, tc_HOL_Obool)), hAPP(_u2493, _u2494)), hAPP(_u2493, _u2495)))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_Int__def ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_Int__def-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2496, tc_HOL_Obool)), _u2497), _u2498) = hAPP(c_Set_OCollect(_u2496), hAPP(hAPP(c_COMBS(_u2496, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u2496), c_fconj), hAPP(hAPP(c_COMBC(_u2496, tc_fun(_u2496, tc_HOL_Obool), tc_HOL_Obool), c_member(_u2496)), _u2497))), hAPP(hAPP(c_COMBC(_u2496, tc_fun(_u2496, tc_HOL_Obool), tc_HOL_Obool), c_member(_u2496)), _u2498)))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_Int__Collect ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_Int__Collect-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2503), _u2505), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2503, tc_HOL_Obool)), _u2507), hAPP(c_Set_OCollect(_u2503), _u2509)))) | hBOOL(hAPP(hAPP(c_member(_u2503), _u2505), _u2507)) )).
% 39.89/40.04 cnf(fact_Int__Collect-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2503), _u2505), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2503, tc_HOL_Obool)), _u2507), hAPP(c_Set_OCollect(_u2503), _u2509)))) | hBOOL(hAPP(_u2509, _u2505)) )).
% 39.89/40.04 cnf(fact_Int__Collect-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2504), _u2506), _u2508)) | ~hBOOL(hAPP(_u2510, _u2506)) | hBOOL(hAPP(hAPP(c_member(_u2504), _u2506), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2504, tc_HOL_Obool)), _u2508), hAPP(c_Set_OCollect(_u2504), _u2510)))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_gfp__fun__UnI2 ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_gfp__fun__UnI2-1, axiom, ( ~c_Orderings_Oorder__class_Omono(tc_fun(_u2511, tc_HOL_Obool), tc_fun(_u2511, tc_HOL_Obool), _u2512) | ~hBOOL(hAPP(hAPP(c_member(_u2511), _u2513), c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u2511, tc_HOL_Obool), _u2512))) | hBOOL(hAPP(hAPP(c_member(_u2511), _u2513), hAPP(_u2512, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2511, tc_HOL_Obool)), _u2514), c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u2511, tc_HOL_Obool), _u2512))))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_def__coinduct ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_def__coinduct-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2515) | ( _u2516 != c_Inductive_Ocomplete__lattice__class_Ogfp(_u2515, _u2517)) | ~c_Orderings_Oorder__class_Omono(_u2515, _u2515, _u2517) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2515), _u2518), hAPP(_u2517, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2515), _u2518), _u2516)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2515), _u2518), _u2516)) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_coinduct__lemma ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_coinduct__lemma-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2519) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2519), _u2520), hAPP(_u2521, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2519), _u2520), c_Inductive_Ocomplete__lattice__class_Ogfp(_u2519, _u2521))))) | ~c_Orderings_Oorder__class_Omono(_u2519, _u2519, _u2521) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2519), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2519), _u2520), c_Inductive_Ocomplete__lattice__class_Ogfp(_u2519, _u2521))), hAPP(_u2521, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2519), _u2520), c_Inductive_Ocomplete__lattice__class_Ogfp(_u2519, _u2521))))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_coinduct ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_coinduct-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2522) | ~c_Orderings_Oorder__class_Omono(_u2522, _u2522, _u2523) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2522), _u2524), hAPP(_u2523, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2522), _u2524), c_Inductive_Ocomplete__lattice__class_Ogfp(_u2522, _u2523))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2522), _u2524), c_Inductive_Ocomplete__lattice__class_Ogfp(_u2522, _u2523))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_Diff__insert__absorb ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_Diff__insert__absorb-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u2525), _u2526), _u2527)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2525, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u2525), _u2526), _u2527)), hAPP(hAPP(c_Set_Oinsert(_u2525), _u2526), c_Orderings_Obot__class_Obot(tc_fun(_u2525, tc_HOL_Obool)))) = _u2527) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_insert__Diff ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_insert__Diff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2528), _u2529), _u2530)) | ( hAPP(hAPP(c_Set_Oinsert(_u2528), _u2529), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2528, tc_HOL_Obool)), _u2530), hAPP(hAPP(c_Set_Oinsert(_u2528), _u2529), c_Orderings_Obot__class_Obot(tc_fun(_u2528, tc_HOL_Obool))))) = _u2530) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_flat__lub__def ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_flat__lub__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2534, tc_HOL_Obool)), _u2536), hAPP(hAPP(c_Set_Oinsert(_u2534), _u2538), c_Orderings_Obot__class_Obot(tc_fun(_u2534, tc_HOL_Obool))))) | ( c_Partial__Function_Oflat__lub(_u2534, _u2538, _u2536) = _u2538) )).
% 39.89/40.04 cnf(fact_flat__lub__def-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2535, tc_HOL_Obool)), _u2537), hAPP(hAPP(c_Set_Oinsert(_u2535), _u2539), c_Orderings_Obot__class_Obot(tc_fun(_u2535, tc_HOL_Obool))))) | ( c_Partial__Function_Oflat__lub(_u2535, _u2539, _u2537) = c_HOL_OThe(_u2535, hAPP(hAPP(c_COMBC(_u2535, tc_fun(_u2535, tc_HOL_Obool), tc_HOL_Obool), c_member(_u2535)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2535, tc_HOL_Obool)), _u2537), hAPP(hAPP(c_Set_Oinsert(_u2535), _u2539), c_Orderings_Obot__class_Obot(tc_fun(_u2535, tc_HOL_Obool))))))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_def__coinduct3 ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_def__coinduct3-1, axiom, ( ( _u2540 != c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u2541, tc_HOL_Obool), _u2542)) | ~c_Orderings_Oorder__class_Omono(tc_fun(_u2541, tc_HOL_Obool), tc_fun(_u2541, tc_HOL_Obool), _u2542) | ~hBOOL(hAPP(hAPP(c_member(_u2541), _u2543), _u2544)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2541, tc_HOL_Obool)), _u2544), hAPP(_u2542, c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(_u2541, tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_fun(_u2541, tc_HOL_Obool), tc_fun(_u2541, tc_HOL_Obool), tc_fun(_u2541, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u2541, tc_HOL_Obool), tc_fun(tc_fun(_u2541, tc_HOL_Obool), tc_fun(_u2541, tc_HOL_Obool)), tc_fun(_u2541, tc_HOL_Obool)), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2541, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(tc_fun(_u2541, tc_HOL_Obool), tc_fun(_u2541, tc_HOL_Obool), tc_fun(_u2541, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u2541, tc_HOL_Obool), tc_fun(tc_fun(_u2541, tc_HOL_Obool), tc_fun(_u2541, tc_HOL_Obool)), tc_fun(_u2541, tc_HOL_Obool)), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2541, tc_HOL_Obool))), _u2542)), _u2544))), _u2540))))) | hBOOL(hAPP(hAPP(c_member(_u2541), _u2543), _u2540)) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_coinduct3 ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_coinduct3-1, axiom, ( ~c_Orderings_Oorder__class_Omono(tc_fun(_u2545, tc_HOL_Obool), tc_fun(_u2545, tc_HOL_Obool), _u2546) | ~hBOOL(hAPP(hAPP(c_member(_u2545), _u2547), _u2548)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2545, tc_HOL_Obool)), _u2548), hAPP(_u2546, c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(_u2545, tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_fun(_u2545, tc_HOL_Obool), tc_fun(_u2545, tc_HOL_Obool), tc_fun(_u2545, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u2545, tc_HOL_Obool), tc_fun(tc_fun(_u2545, tc_HOL_Obool), tc_fun(_u2545, tc_HOL_Obool)), tc_fun(_u2545, tc_HOL_Obool)), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2545, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(tc_fun(_u2545, tc_HOL_Obool), tc_fun(_u2545, tc_HOL_Obool), tc_fun(_u2545, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u2545, tc_HOL_Obool), tc_fun(tc_fun(_u2545, tc_HOL_Obool), tc_fun(_u2545, tc_HOL_Obool)), tc_fun(_u2545, tc_HOL_Obool)), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2545, tc_HOL_Obool))), _u2546)), _u2548))), c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u2545, tc_HOL_Obool), _u2546)))))) | hBOOL(hAPP(hAPP(c_member(_u2545), _u2547), c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u2545, tc_HOL_Obool), _u2546))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_def__Collect__coinduct ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_def__Collect__coinduct-1, axiom, ( ( _u2550 != c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u2551, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u2551, tc_HOL_Obool), tc_fun(_u2551, tc_HOL_Obool), tc_fun(_u2551, tc_HOL_Obool)), c_Set_OCollect(_u2551)), _u2552))) | ~c_Orderings_Oorder__class_Omono(tc_fun(_u2551, tc_HOL_Obool), tc_fun(_u2551, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u2551, tc_HOL_Obool), tc_fun(_u2551, tc_HOL_Obool), tc_fun(_u2551, tc_HOL_Obool)), c_Set_OCollect(_u2551)), _u2552)) | ~hBOOL(hAPP(hAPP(c_member(_u2551), _u2553), _u2554)) | hBOOL(hAPP(hAPP(c_member(_u2551), _u2553), _u2550)) | hBOOL(hAPP(hAPP(c_member(_u2551), skolem54(_u2554, _u2553, _u2552, _u2551, _u2550)), _u2554)) )).
% 39.89/40.04 cnf(fact_def__Collect__coinduct-2, axiom, ( ( _u2550 != c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u2551, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u2551, tc_HOL_Obool), tc_fun(_u2551, tc_HOL_Obool), tc_fun(_u2551, tc_HOL_Obool)), c_Set_OCollect(_u2551)), _u2552))) | ~c_Orderings_Oorder__class_Omono(tc_fun(_u2551, tc_HOL_Obool), tc_fun(_u2551, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u2551, tc_HOL_Obool), tc_fun(_u2551, tc_HOL_Obool), tc_fun(_u2551, tc_HOL_Obool)), c_Set_OCollect(_u2551)), _u2552)) | ~hBOOL(hAPP(hAPP(c_member(_u2551), _u2553), _u2554)) | hBOOL(hAPP(hAPP(c_member(_u2551), _u2553), _u2550)) | ~hBOOL(hAPP(hAPP(_u2552, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2551, tc_HOL_Obool)), _u2554), _u2550)), skolem54(_u2554, _u2553, _u2552, _u2551, _u2550))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_diff__eq__diff__less__eq ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_diff__eq__diff__less__eq-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2555) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2555), _u2556), _u2557) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2555), _u2558), _u2559)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2555), _u2556), _u2557)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2555), _u2558), _u2559)) )).
% 39.89/40.04 cnf(fact_diff__eq__diff__less__eq-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2555) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2555), _u2556), _u2557) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2555), _u2558), _u2559)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2555), _u2558), _u2559)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2555), _u2556), _u2557)) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_fun__upd__image ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_fun__upd__image-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2566), _u2568), _u2570)) | ( hAPP(c_Set_Oimage(_u2566, _u2572, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u2566, _u2572), _u2574), _u2568), _u2576)), _u2570) = hAPP(hAPP(c_Set_Oinsert(_u2572), _u2576), hAPP(c_Set_Oimage(_u2566, _u2572, _u2574), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2566, tc_HOL_Obool)), _u2570), hAPP(hAPP(c_Set_Oinsert(_u2566), _u2568), c_Orderings_Obot__class_Obot(tc_fun(_u2566, tc_HOL_Obool))))))) )).
% 39.89/40.04 cnf(fact_fun__upd__image-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u2567), _u2569), _u2571)) | ( hAPP(c_Set_Oimage(_u2567, _u2573, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u2567, _u2573), _u2575), _u2569), _u2577)), _u2571) = hAPP(c_Set_Oimage(_u2567, _u2573, _u2575), _u2571)) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_coinduct3__lemma ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_coinduct3__lemma-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2578, tc_HOL_Obool)), _u2579), hAPP(_u2580, c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(_u2578, tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_fun(_u2578, tc_HOL_Obool), tc_fun(_u2578, tc_HOL_Obool), tc_fun(_u2578, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u2578, tc_HOL_Obool), tc_fun(tc_fun(_u2578, tc_HOL_Obool), tc_fun(_u2578, tc_HOL_Obool)), tc_fun(_u2578, tc_HOL_Obool)), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2578, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(tc_fun(_u2578, tc_HOL_Obool), tc_fun(_u2578, tc_HOL_Obool), tc_fun(_u2578, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u2578, tc_HOL_Obool), tc_fun(tc_fun(_u2578, tc_HOL_Obool), tc_fun(_u2578, tc_HOL_Obool)), tc_fun(_u2578, tc_HOL_Obool)), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2578, tc_HOL_Obool))), _u2580)), _u2579))), c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u2578, tc_HOL_Obool), _u2580)))))) | ~c_Orderings_Oorder__class_Omono(tc_fun(_u2578, tc_HOL_Obool), tc_fun(_u2578, tc_HOL_Obool), _u2580) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2578, tc_HOL_Obool)), c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(_u2578, tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_fun(_u2578, tc_HOL_Obool), tc_fun(_u2578, tc_HOL_Obool), tc_fun(_u2578, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u2578, tc_HOL_Obool), tc_fun(tc_fun(_u2578, tc_HOL_Obool), tc_fun(_u2578, tc_HOL_Obool)), tc_fun(_u2578, tc_HOL_Obool)), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2578, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(tc_fun(_u2578, tc_HOL_Obool), tc_fun(_u2578, tc_HOL_Obool), tc_fun(_u2578, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u2578, tc_HOL_Obool), tc_fun(tc_fun(_u2578, tc_HOL_Obool), tc_fun(_u2578, tc_HOL_Obool)), tc_fun(_u2578, tc_HOL_Obool)), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2578, tc_HOL_Obool))), _u2580)), _u2579))), c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u2578, tc_HOL_Obool), _u2580)))), hAPP(_u2580, c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(_u2578, tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_fun(_u2578, tc_HOL_Obool), tc_fun(_u2578, tc_HOL_Obool), tc_fun(_u2578, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u2578, tc_HOL_Obool), tc_fun(tc_fun(_u2578, tc_HOL_Obool), tc_fun(_u2578, tc_HOL_Obool)), tc_fun(_u2578, tc_HOL_Obool)), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2578, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(tc_fun(_u2578, tc_HOL_Obool), tc_fun(_u2578, tc_HOL_Obool), tc_fun(_u2578, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u2578, tc_HOL_Obool), tc_fun(tc_fun(_u2578, tc_HOL_Obool), tc_fun(_u2578, tc_HOL_Obool)), tc_fun(_u2578, tc_HOL_Obool)), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2578, tc_HOL_Obool))), _u2580)), _u2579))), c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u2578, tc_HOL_Obool), _u2580)))))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_psubset__insert__iff ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_psubset__insert__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2585, tc_HOL_Obool)), _u2587), hAPP(hAPP(c_Set_Oinsert(_u2585), _u2589), _u2591))) | ~hBOOL(hAPP(hAPP(c_member(_u2585), _u2589), _u2591)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2585, tc_HOL_Obool)), _u2587), _u2591)) )).
% 39.89/40.04 cnf(fact_psubset__insert__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2585, tc_HOL_Obool)), _u2587), hAPP(hAPP(c_Set_Oinsert(_u2585), _u2589), _u2591))) | hBOOL(hAPP(hAPP(c_member(_u2585), _u2589), _u2591)) | ~hBOOL(hAPP(hAPP(c_member(_u2585), _u2589), _u2587)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2585, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2585, tc_HOL_Obool)), _u2587), hAPP(hAPP(c_Set_Oinsert(_u2585), _u2589), c_Orderings_Obot__class_Obot(tc_fun(_u2585, tc_HOL_Obool))))), _u2591)) )).
% 39.89/40.04 cnf(fact_psubset__insert__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2585, tc_HOL_Obool)), _u2587), hAPP(hAPP(c_Set_Oinsert(_u2585), _u2589), _u2591))) | hBOOL(hAPP(hAPP(c_member(_u2585), _u2589), _u2591)) | hBOOL(hAPP(hAPP(c_member(_u2585), _u2589), _u2587)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2585, tc_HOL_Obool)), _u2587), _u2591)) )).
% 39.89/40.04 cnf(fact_psubset__insert__iff-4, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2586, tc_HOL_Obool)), _u2588), hAPP(hAPP(c_Set_Oinsert(_u2586), _u2590), _u2592))) | hBOOL(hAPP(hAPP(c_member(_u2586), _u2590), _u2592)) | hBOOL(hAPP(hAPP(c_member(_u2586), _u2590), _u2588)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2586, tc_HOL_Obool)), _u2588), _u2592)) )).
% 39.89/40.04 cnf(fact_psubset__insert__iff-5, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2586, tc_HOL_Obool)), _u2588), hAPP(hAPP(c_Set_Oinsert(_u2586), _u2590), _u2592))) | hBOOL(hAPP(hAPP(c_member(_u2586), _u2590), _u2592)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2586, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2586, tc_HOL_Obool)), _u2588), hAPP(hAPP(c_Set_Oinsert(_u2586), _u2590), c_Orderings_Obot__class_Obot(tc_fun(_u2586, tc_HOL_Obool))))), _u2592)) | ~hBOOL(hAPP(hAPP(c_member(_u2586), _u2590), _u2588)) )).
% 39.89/40.04 cnf(fact_psubset__insert__iff-6, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2586, tc_HOL_Obool)), _u2588), hAPP(hAPP(c_Set_Oinsert(_u2586), _u2590), _u2592))) | hBOOL(hAPP(hAPP(c_member(_u2586), _u2590), _u2592)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2586, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2586, tc_HOL_Obool)), _u2588), hAPP(hAPP(c_Set_Oinsert(_u2586), _u2590), c_Orderings_Obot__class_Obot(tc_fun(_u2586, tc_HOL_Obool))))), _u2592)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2586, tc_HOL_Obool)), _u2588), _u2592)) )).
% 39.89/40.04 cnf(fact_psubset__insert__iff-7, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2586, tc_HOL_Obool)), _u2588), hAPP(hAPP(c_Set_Oinsert(_u2586), _u2590), _u2592))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2586, tc_HOL_Obool)), _u2588), _u2592)) | ~hBOOL(hAPP(hAPP(c_member(_u2586), _u2590), _u2592)) )).
% 39.89/40.04 cnf(fact_psubset__insert__iff-8, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2586, tc_HOL_Obool)), _u2588), hAPP(hAPP(c_Set_Oinsert(_u2586), _u2590), _u2592))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2586, tc_HOL_Obool)), _u2588), _u2592)) | hBOOL(hAPP(hAPP(c_member(_u2586), _u2590), _u2588)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2586, tc_HOL_Obool)), _u2588), _u2592)) )).
% 39.89/40.04 cnf(fact_psubset__insert__iff-9, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2586, tc_HOL_Obool)), _u2588), hAPP(hAPP(c_Set_Oinsert(_u2586), _u2590), _u2592))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2586, tc_HOL_Obool)), _u2588), _u2592)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2586, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2586, tc_HOL_Obool)), _u2588), hAPP(hAPP(c_Set_Oinsert(_u2586), _u2590), c_Orderings_Obot__class_Obot(tc_fun(_u2586, tc_HOL_Obool))))), _u2592)) | ~hBOOL(hAPP(hAPP(c_member(_u2586), _u2590), _u2588)) )).
% 39.89/40.04 cnf(fact_psubset__insert__iff-10, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2586, tc_HOL_Obool)), _u2588), hAPP(hAPP(c_Set_Oinsert(_u2586), _u2590), _u2592))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2586, tc_HOL_Obool)), _u2588), _u2592)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2586, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2586, tc_HOL_Obool)), _u2588), hAPP(hAPP(c_Set_Oinsert(_u2586), _u2590), c_Orderings_Obot__class_Obot(tc_fun(_u2586, tc_HOL_Obool))))), _u2592)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2586, tc_HOL_Obool)), _u2588), _u2592)) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_Int__Collect__mono ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_Int__Collect__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2594, tc_HOL_Obool)), _u2595), _u2596)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2594, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2594, tc_HOL_Obool)), _u2595), hAPP(c_Set_OCollect(_u2594), _u2597))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2594, tc_HOL_Obool)), _u2596), hAPP(c_Set_OCollect(_u2594), _u2598)))) | hBOOL(hAPP(hAPP(c_member(_u2594), skolem55(_u2598, _u2597, _u2596, _u2595, _u2594)), _u2595)) )).
% 39.89/40.04 cnf(fact_Int__Collect__mono-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2594, tc_HOL_Obool)), _u2595), _u2596)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2594, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2594, tc_HOL_Obool)), _u2595), hAPP(c_Set_OCollect(_u2594), _u2597))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2594, tc_HOL_Obool)), _u2596), hAPP(c_Set_OCollect(_u2594), _u2598)))) | hBOOL(hAPP(_u2597, skolem55(_u2598, _u2597, _u2596, _u2595, _u2594))) )).
% 39.89/40.04 cnf(fact_Int__Collect__mono-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2594, tc_HOL_Obool)), _u2595), _u2596)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2594, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2594, tc_HOL_Obool)), _u2595), hAPP(c_Set_OCollect(_u2594), _u2597))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2594, tc_HOL_Obool)), _u2596), hAPP(c_Set_OCollect(_u2594), _u2598)))) | ~hBOOL(hAPP(_u2598, skolem55(_u2598, _u2597, _u2596, _u2595, _u2594))) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_fold__graph_H_Ointros_I2_J ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_fold__graph_H_Ointros_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2599), _u2600), _u2601)) | ~c_Nitpick_Ofold__graph_H(_u2599, _u2602, _u2603, _u2604, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2599, tc_HOL_Obool)), _u2601), hAPP(hAPP(c_Set_Oinsert(_u2599), _u2600), c_Orderings_Obot__class_Obot(tc_fun(_u2599, tc_HOL_Obool)))), _u2605) | c_Nitpick_Ofold__graph_H(_u2599, _u2602, _u2603, _u2604, _u2601, hAPP(hAPP(_u2603, _u2600), _u2605)) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_fun__upd__triv ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_fun__upd__triv-1, axiom, ( ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u2606, _u2607), _u2608), _u2609), hAPP(_u2608, _u2609)) = _u2608) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_linorder__cases ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_linorder__cases-1, axiom, ( ~class_Orderings_Olinorder(_u2610) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2610), _u2611), _u2612)) | ( _u2611 = _u2612) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2610), _u2612), _u2611)) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_order__less__asym ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_order__less__asym-1, axiom, ( ~class_Orderings_Opreorder(_u2613) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2613), _u2614), _u2615)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2613), _u2615), _u2614)) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_xt1_I10_J ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_xt1_I10_J-1, axiom, ( ~class_Orderings_Oorder(_u2616) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2616), _u2617), _u2618)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2616), _u2619), _u2617)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2616), _u2619), _u2618)) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_order__less__trans ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_order__less__trans-1, axiom, ( ~class_Orderings_Opreorder(_u2620) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2620), _u2621), _u2622)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2620), _u2622), _u2623)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2620), _u2621), _u2623)) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_xt1_I2_J ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_xt1_I2_J-1, axiom, ( ~class_Orderings_Oorder(_u2624) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2624), _u2625), _u2626)) | ( _u2625 != _u2627) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2624), _u2627), _u2626)) )).
% 39.89/40.04
% 39.89/40.04 % Formula: fact_ord__less__eq__trans ( axiom ) converted to clauses:
% 39.89/40.04 cnf(fact_ord__less__eq__trans-1, axiom, ( ~class_Orderings_Oord(_u2628) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2628), _u2629), _u2630)) | ( _u2630 != _u2631) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2628), _u2629), _u2631)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_psubset__trans ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_psubset__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2632, tc_HOL_Obool)), _u2633), _u2634)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2632, tc_HOL_Obool)), _u2634), _u2635)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2632, tc_HOL_Obool)), _u2633), _u2635)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_xt1_I1_J ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_xt1_I1_J-1, axiom, ( ~class_Orderings_Oorder(_u2636) | ( _u2637 != _u2638) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2636), _u2639), _u2638)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2636), _u2639), _u2637)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_ord__eq__less__trans ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_ord__eq__less__trans-1, axiom, ( ~class_Orderings_Oord(_u2640) | ( _u2641 != _u2642) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2640), _u2642), _u2643)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2640), _u2641), _u2643)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_xt1_I9_J ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_xt1_I9_J-1, axiom, ( ~class_Orderings_Oorder(_u2644) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2644), _u2645), _u2646)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2644), _u2646), _u2645)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_order__less__asym_H ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_order__less__asym_H-1, axiom, ( ~class_Orderings_Opreorder(_u2647) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2647), _u2648), _u2649)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2647), _u2649), _u2648)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_order__less__imp__not__eq2 ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_order__less__imp__not__eq2-1, axiom, ( ~class_Orderings_Oorder(_u2650) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2650), _u2651), _u2652)) | ( _u2652 != _u2651) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_order__less__imp__not__eq ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_order__less__imp__not__eq-1, axiom, ( ~class_Orderings_Oorder(_u2653) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2653), _u2654), _u2655)) | ( _u2654 != _u2655) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_order__less__imp__not__less ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_order__less__imp__not__less-1, axiom, ( ~class_Orderings_Opreorder(_u2656) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2656), _u2657), _u2658)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2656), _u2658), _u2657)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_order__less__not__sym ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_order__less__not__sym-1, axiom, ( ~class_Orderings_Opreorder(_u2659) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2659), _u2660), _u2661)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2659), _u2661), _u2660)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_less__imp__neq ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_less__imp__neq-1, axiom, ( ~class_Orderings_Oorder(_u2662) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2662), _u2663), _u2664)) | ( _u2663 != _u2664) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_linorder__neqE ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_linorder__neqE-1, axiom, ( ~class_Orderings_Olinorder(_u2665) | ( _u2666 = _u2667) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2665), _u2666), _u2667)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2665), _u2667), _u2666)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_linorder__antisym__conv3 ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_linorder__antisym__conv3-1, axiom, ( ~class_Orderings_Olinorder(_u2668) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2668), _u2669), _u2670)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2668), _u2670), _u2669)) | ( _u2670 = _u2669) )).
% 39.89/40.05 cnf(fact_linorder__antisym__conv3-2, axiom, ( ~class_Orderings_Olinorder(_u2668) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2668), _u2669), _u2670)) | ( _u2670 != _u2669) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2668), _u2670), _u2669)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_linorder__less__linear ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_linorder__less__linear-1, axiom, ( ~class_Orderings_Olinorder(_u2671) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2671), _u2672), _u2673)) | ( _u2672 = _u2673) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2671), _u2673), _u2672)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_not__less__iff__gr__or__eq ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_not__less__iff__gr__or__eq-1, axiom, ( ~class_Orderings_Olinorder(_u2674) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2674), _u2675), _u2676)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2674), _u2676), _u2675)) | ( _u2675 = _u2676) )).
% 39.89/40.05 cnf(fact_not__less__iff__gr__or__eq-2, axiom, ( ~class_Orderings_Olinorder(_u2674) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2674), _u2675), _u2676)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2674), _u2676), _u2675)) )).
% 39.89/40.05 cnf(fact_not__less__iff__gr__or__eq-3, axiom, ( ~class_Orderings_Olinorder(_u2674) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2674), _u2675), _u2676)) | ( _u2675 != _u2676) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_linorder__neq__iff ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_linorder__neq__iff-1, axiom, ( ~class_Orderings_Olinorder(_u2677) | ( _u2678 = _u2679) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2677), _u2678), _u2679)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2677), _u2679), _u2678)) )).
% 39.89/40.05 cnf(fact_linorder__neq__iff-2, axiom, ( ~class_Orderings_Olinorder(_u2677) | ( _u2678 != _u2679) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2677), _u2678), _u2679)) )).
% 39.89/40.05 cnf(fact_linorder__neq__iff-3, axiom, ( ~class_Orderings_Olinorder(_u2677) | ( _u2678 != _u2679) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2677), _u2679), _u2678)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_order__less__irrefl ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_order__less__irrefl-1, axiom, ( ~class_Orderings_Opreorder(_u2680) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2680), _u2681), _u2681)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_fun__upd__idem ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_fun__upd__idem-1, axiom, ( ( hAPP(_u2682, _u2683) != _u2684) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u2685, _u2686), _u2682), _u2683), _u2684) = _u2682) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_fun__upd__other ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_fun__upd__other-1, axiom, ( ( _u2687 = _u2688) | ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u2689, _u2690), _u2691), _u2688), _u2692), _u2687) = hAPP(_u2691, _u2687)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_fun__upd__twist ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_fun__upd__twist-1, axiom, ( ( _u2693 = _u2694) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u2695, _u2696), hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u2695, _u2696), _u2697), _u2693), _u2698)), _u2694), _u2699) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u2695, _u2696), hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u2695, _u2696), _u2697), _u2694), _u2699)), _u2693), _u2698)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_fun__upd__apply ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_fun__upd__apply-1, axiom, ( ( _u2706 != _u2708) | ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u2710, _u2712), _u2714), _u2708), _u2716), _u2706) = _u2716) )).
% 39.89/40.05 cnf(fact_fun__upd__apply-2, axiom, ( ( _u2707 = _u2709) | ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u2711, _u2713), _u2715), _u2709), _u2717), _u2707) = hAPP(_u2715, _u2707)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_fun__upd__same ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_fun__upd__same-1, axiom, ( ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u2718, _u2719), _u2720), _u2721), _u2722), _u2721) = _u2722) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_fun__upd__upd ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_fun__upd__upd-1, axiom, ( ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u2723, _u2724), hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u2723, _u2724), _u2725), _u2726), _u2727)), _u2726), _u2728) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u2723, _u2724), _u2725), _u2726), _u2728)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_fun__upd__idem__iff ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_fun__upd__idem__iff-1, axiom, ( ( hAPP(_u2738, _u2740) = _u2742) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u2734, _u2736), _u2738), _u2740), _u2742) != _u2738) )).
% 39.89/40.05 cnf(fact_fun__upd__idem__iff-2, axiom, ( ( hAPP(_u2739, _u2741) != _u2743) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u2735, _u2737), _u2739), _u2741), _u2743) = _u2739) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_diff__eq__diff__less ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_diff__eq__diff__less-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2744) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2744), _u2745), _u2746) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2744), _u2747), _u2748)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2744), _u2745), _u2746)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2744), _u2747), _u2748)) )).
% 39.89/40.05 cnf(fact_diff__eq__diff__less-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2744) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2744), _u2745), _u2746) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2744), _u2747), _u2748)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2744), _u2747), _u2748)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2744), _u2745), _u2746)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_fun__upd__def ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_fun__upd__def-1, axiom, ( ( _u2755 != _u2757) | ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u2759, _u2761), _u2763), _u2757), _u2765), _u2755) = _u2765) )).
% 39.89/40.05 cnf(fact_fun__upd__def-2, axiom, ( ( _u2756 = _u2758) | ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u2760, _u2762), _u2764), _u2758), _u2766), _u2756) = hAPP(_u2764, _u2756)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_lfp__const ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_lfp__const-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2767) | ( c_Inductive_Ocomplete__lattice__class_Olfp(_u2767, hAPP(c_COMBK(_u2767, _u2767), _u2768)) = _u2768) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_fold__graph_H_Ointros_I1_J ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_fold__graph_H_Ointros_I1_J-1, axiom, ( c_Nitpick_Ofold__graph_H(_u2769, _u2770, _u2771, _u2772, c_Orderings_Obot__class_Obot(tc_fun(_u2769, tc_HOL_Obool)), _u2772) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_fold__graph_H_Oequations_I1_J ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_fold__graph_H_Oequations_I1_J-1, axiom, ( c_Nitpick_Ofold__graph_H(_u2773, _u2774, _u2775, _u2776, c_Orderings_Obot__class_Obot(tc_fun(_u2773, tc_HOL_Obool)), _u2776) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_less__fun__def ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_less__fun__def-1, axiom, ( ~class_Orderings_Oord(_u2777) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2778, _u2777)), _u2779), _u2780)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2778, _u2777)), _u2779), _u2780)) )).
% 39.89/40.05 cnf(fact_less__fun__def-2, axiom, ( ~class_Orderings_Oord(_u2777) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2778, _u2777)), _u2779), _u2780)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2778, _u2777)), _u2780), _u2779)) )).
% 39.89/40.05 cnf(fact_less__fun__def-3, axiom, ( ~class_Orderings_Oord(_u2777) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2778, _u2777)), _u2779), _u2780)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2778, _u2777)), _u2780), _u2779)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2778, _u2777)), _u2779), _u2780)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_xt1_I8_J ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_xt1_I8_J-1, axiom, ( ~class_Orderings_Oorder(_u2781) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2781), _u2782), _u2783)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2781), _u2784), _u2782)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2781), _u2784), _u2783)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_order__le__less__trans ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_order__le__less__trans-1, axiom, ( ~class_Orderings_Opreorder(_u2785) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2785), _u2786), _u2787)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2785), _u2787), _u2788)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2785), _u2786), _u2788)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_xt1_I7_J ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_xt1_I7_J-1, axiom, ( ~class_Orderings_Oorder(_u2789) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2789), _u2790), _u2791)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2789), _u2792), _u2790)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2789), _u2792), _u2791)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_order__less__le__trans ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_order__less__le__trans-1, axiom, ( ~class_Orderings_Opreorder(_u2793) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2793), _u2794), _u2795)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2793), _u2795), _u2796)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2793), _u2794), _u2796)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_xt1_I11_J ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_xt1_I11_J-1, axiom, ( ~class_Orderings_Oorder(_u2797) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2797), _u2798), _u2799)) | ( _u2799 = _u2798) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2797), _u2798), _u2799)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_order__le__neq__trans ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_order__le__neq__trans-1, axiom, ( ~class_Orderings_Oorder(_u2800) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2800), _u2801), _u2802)) | ( _u2801 = _u2802) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2800), _u2801), _u2802)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_order__le__imp__less__or__eq ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_order__le__imp__less__or__eq-1, axiom, ( ~class_Orderings_Oorder(_u2803) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2803), _u2804), _u2805)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2803), _u2804), _u2805)) | ( _u2804 = _u2805) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_linorder__antisym__conv2 ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_linorder__antisym__conv2-1, axiom, ( ~class_Orderings_Olinorder(_u2806) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2806), _u2807), _u2808)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2806), _u2807), _u2808)) | ( _u2807 = _u2808) )).
% 39.89/40.05 cnf(fact_linorder__antisym__conv2-2, axiom, ( ~class_Orderings_Olinorder(_u2806) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2806), _u2807), _u2808)) | ( _u2807 != _u2808) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2806), _u2807), _u2808)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_order__less__imp__le ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_order__less__imp__le-1, axiom, ( ~class_Orderings_Opreorder(_u2809) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2809), _u2810), _u2811)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2809), _u2810), _u2811)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_leD ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_leD-1, axiom, ( ~class_Orderings_Olinorder(_u2812) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2812), _u2813), _u2814)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2812), _u2814), _u2813)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_xt1_I12_J ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_xt1_I12_J-1, axiom, ( ~class_Orderings_Oorder(_u2815) | ( _u2816 = _u2817) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2815), _u2817), _u2816)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2815), _u2817), _u2816)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_order__neq__le__trans ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_order__neq__le__trans-1, axiom, ( ~class_Orderings_Oorder(_u2818) | ( _u2819 = _u2820) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2818), _u2819), _u2820)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2818), _u2819), _u2820)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_linorder__antisym__conv1 ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_linorder__antisym__conv1-1, axiom, ( ~class_Orderings_Olinorder(_u2821) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2821), _u2822), _u2823)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2821), _u2822), _u2823)) | ( _u2822 = _u2823) )).
% 39.89/40.05 cnf(fact_linorder__antisym__conv1-2, axiom, ( ~class_Orderings_Olinorder(_u2821) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2821), _u2822), _u2823)) | ( _u2822 != _u2823) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2821), _u2822), _u2823)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_not__leE ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_not__leE-1, axiom, ( ~class_Orderings_Olinorder(_u2824) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2824), _u2825), _u2826)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2824), _u2826), _u2825)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_leI ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_leI-1, axiom, ( ~class_Orderings_Olinorder(_u2827) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2827), _u2828), _u2829)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2827), _u2829), _u2828)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_order__le__less ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_order__le__less-1, axiom, ( ~class_Orderings_Oorder(_u2830) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2830), _u2831), _u2832)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2830), _u2831), _u2832)) | ( _u2831 = _u2832) )).
% 39.89/40.05 cnf(fact_order__le__less-2, axiom, ( ~class_Orderings_Oorder(_u2830) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2830), _u2831), _u2832)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2830), _u2831), _u2832)) )).
% 39.89/40.05 cnf(fact_order__le__less-3, axiom, ( ~class_Orderings_Oorder(_u2830) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2830), _u2831), _u2832)) | ( _u2831 != _u2832) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_less__le__not__le ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_less__le__not__le-1, axiom, ( ~class_Orderings_Opreorder(_u2833) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2833), _u2834), _u2835)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2833), _u2834), _u2835)) )).
% 39.89/40.05 cnf(fact_less__le__not__le-2, axiom, ( ~class_Orderings_Opreorder(_u2833) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2833), _u2834), _u2835)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2833), _u2835), _u2834)) )).
% 39.89/40.05 cnf(fact_less__le__not__le-3, axiom, ( ~class_Orderings_Opreorder(_u2833) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2833), _u2834), _u2835)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2833), _u2835), _u2834)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2833), _u2834), _u2835)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_order__less__le ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_order__less__le-1, axiom, ( ~class_Orderings_Oorder(_u2836) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2836), _u2837), _u2838)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2836), _u2837), _u2838)) )).
% 39.89/40.05 cnf(fact_order__less__le-2, axiom, ( ~class_Orderings_Oorder(_u2836) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2836), _u2837), _u2838)) | ( _u2837 != _u2838) )).
% 39.89/40.05 cnf(fact_order__less__le-3, axiom, ( ~class_Orderings_Oorder(_u2836) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2836), _u2837), _u2838)) | ( _u2837 = _u2838) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2836), _u2837), _u2838)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_linorder__le__less__linear ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_linorder__le__less__linear-1, axiom, ( ~class_Orderings_Olinorder(_u2839) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2839), _u2840), _u2841)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2839), _u2841), _u2840)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_linorder__not__le ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_linorder__not__le-1, axiom, ( ~class_Orderings_Olinorder(_u2842) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2842), _u2843), _u2844)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2842), _u2844), _u2843)) )).
% 39.89/40.05 cnf(fact_linorder__not__le-2, axiom, ( ~class_Orderings_Olinorder(_u2842) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2842), _u2844), _u2843)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2842), _u2843), _u2844)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_linorder__not__less ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_linorder__not__less-1, axiom, ( ~class_Orderings_Olinorder(_u2845) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2845), _u2846), _u2847)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2845), _u2847), _u2846)) )).
% 39.89/40.05 cnf(fact_linorder__not__less-2, axiom, ( ~class_Orderings_Olinorder(_u2845) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2845), _u2847), _u2846)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2845), _u2846), _u2847)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_psubsetD ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_psubsetD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2848, tc_HOL_Obool)), _u2849), _u2850)) | ~hBOOL(hAPP(hAPP(c_member(_u2848), _u2851), _u2849)) | hBOOL(hAPP(hAPP(c_member(_u2848), _u2851), _u2850)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_le__diff__iff ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_le__diff__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2852), _u2853)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2852), _u2854)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2853), _u2852)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2854), _u2852))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2853), _u2854)) )).
% 39.89/40.05 cnf(fact_le__diff__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2852), _u2853)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2852), _u2854)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2853), _u2854)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2853), _u2852)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2854), _u2852))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_Nat_Odiff__diff__eq ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_Nat_Odiff__diff__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2855), _u2856)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2855), _u2857)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2856), _u2855)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2857), _u2855)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2856), _u2857)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_eq__diff__iff ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_eq__diff__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2858), _u2859)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2858), _u2860)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2859), _u2858) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2860), _u2858)) | ( _u2859 = _u2860) )).
% 39.89/40.05 cnf(fact_eq__diff__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2858), _u2859)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2858), _u2860)) | ( _u2859 != _u2860) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2859), _u2858) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2860), _u2858)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_diff__diff__cancel ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_diff__diff__cancel-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2861), _u2862)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2862), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2862), _u2861)) = _u2861) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_diff__le__mono ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_diff__le__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2863), _u2864)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2863), _u2865)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2864), _u2865))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_diff__le__mono2 ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_diff__le__mono2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2866), _u2867)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2868), _u2867)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2868), _u2866))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_diff__le__self ( axiom ) converted to clauses:
% 39.89/40.05 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), _u2869), _u2870)), _u2869)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_not__psubset__empty ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_not__psubset__empty-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2871, tc_HOL_Obool)), _u2872), c_Orderings_Obot__class_Obot(tc_fun(_u2871, tc_HOL_Obool)))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_less__supI1 ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_less__supI1-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u2873) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2873), _u2874), _u2875)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2873), _u2874), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2873), _u2875), _u2876))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_less__supI2 ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_less__supI2-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u2877) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2877), _u2878), _u2879)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2877), _u2878), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2877), _u2880), _u2879))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_less__infI2 ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_less__infI2-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u2881) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2881), _u2882), _u2883)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2881), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2881), _u2884), _u2882)), _u2883)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_less__infI1 ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_less__infI1-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u2885) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2885), _u2886), _u2887)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2885), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2885), _u2886), _u2888)), _u2887)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_subset__psubset__trans ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_subset__psubset__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2889, tc_HOL_Obool)), _u2890), _u2891)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2889, tc_HOL_Obool)), _u2891), _u2892)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2889, tc_HOL_Obool)), _u2890), _u2892)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_psubset__subset__trans ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_psubset__subset__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2893, tc_HOL_Obool)), _u2894), _u2895)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2893, tc_HOL_Obool)), _u2895), _u2896)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2893, tc_HOL_Obool)), _u2894), _u2896)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_psubset__imp__subset ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_psubset__imp__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2897, tc_HOL_Obool)), _u2898), _u2899)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2897, tc_HOL_Obool)), _u2898), _u2899)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_subset__iff__psubset__eq ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_subset__iff__psubset__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2903, tc_HOL_Obool)), _u2905), _u2907)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2903, tc_HOL_Obool)), _u2905), _u2907)) | ( _u2905 = _u2907) )).
% 39.89/40.05 cnf(fact_subset__iff__psubset__eq-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2904, tc_HOL_Obool)), _u2906), _u2908)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2904, tc_HOL_Obool)), _u2906), _u2908)) )).
% 39.89/40.05 cnf(fact_subset__iff__psubset__eq-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2904, tc_HOL_Obool)), _u2906), _u2908)) | ( _u2906 != _u2908) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_psubset__eq ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_psubset__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2912, tc_HOL_Obool)), _u2914), _u2916)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2912, tc_HOL_Obool)), _u2914), _u2916)) )).
% 39.89/40.05 cnf(fact_psubset__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2912, tc_HOL_Obool)), _u2914), _u2916)) | ( _u2914 != _u2916) )).
% 39.89/40.05 cnf(fact_psubset__eq-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2913, tc_HOL_Obool)), _u2915), _u2917)) | ( _u2915 = _u2917) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2913, tc_HOL_Obool)), _u2915), _u2917)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_fun__upd__comp ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_fun__upd__comp-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u2918, _u2919, _u2920, _u2921), hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u2920, _u2918), _u2922), _u2923), _u2924)) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u2920, _u2919), hAPP(c_Fun_Ocomp(_u2918, _u2919, _u2920, _u2921), _u2922)), _u2923), hAPP(_u2921, _u2924))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_strict__monoD ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_strict__monoD-1, axiom, ( ~class_Orderings_Oorder(_u2925) | ~class_Orderings_Oorder(_u2926) | ~c_Orderings_Oorder__class_Ostrict__mono(_u2926, _u2925, _u2927) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2926), _u2928), _u2929)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2925), hAPP(_u2927, _u2928)), hAPP(_u2927, _u2929))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_strict__mono__less ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_strict__mono__less-1, axiom, ( ~class_Orderings_Oorder(_u2930) | ~class_Orderings_Olinorder(_u2931) | ~c_Orderings_Oorder__class_Ostrict__mono(_u2931, _u2930, _u2932) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2930), hAPP(_u2932, _u2933)), hAPP(_u2932, _u2934))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2931), _u2933), _u2934)) )).
% 39.89/40.05 cnf(fact_strict__mono__less-2, axiom, ( ~class_Orderings_Oorder(_u2930) | ~class_Orderings_Olinorder(_u2931) | ~c_Orderings_Oorder__class_Ostrict__mono(_u2931, _u2930, _u2932) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2931), _u2933), _u2934)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2930), hAPP(_u2932, _u2933)), hAPP(_u2932, _u2934))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_lfp__lowerbound ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_lfp__lowerbound-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2935) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2935), hAPP(_u2936, _u2937)), _u2937)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2935), c_Inductive_Ocomplete__lattice__class_Olfp(_u2935, _u2936)), _u2937)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_not__less__Least ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_not__less__Least-1, axiom, ( ~class_Orderings_Owellorder(_u2938) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2938), _u2939), c_Orderings_Oord__class_OLeast(_u2938, _u2940))) | ~hBOOL(hAPP(_u2940, _u2939)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_lfp__unfold ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_lfp__unfold-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2941) | ~c_Orderings_Oorder__class_Omono(_u2941, _u2941, _u2942) | ( c_Inductive_Ocomplete__lattice__class_Olfp(_u2941, _u2942) = hAPP(_u2942, c_Inductive_Ocomplete__lattice__class_Olfp(_u2941, _u2942))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_def__lfp__unfold ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_def__lfp__unfold-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2943) | ( _u2944 != c_Inductive_Ocomplete__lattice__class_Olfp(_u2943, _u2945)) | ~c_Orderings_Oorder__class_Omono(_u2943, _u2943, _u2945) | ( _u2944 = hAPP(_u2945, _u2944)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_lfp__lemma3 ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_lfp__lemma3-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2946) | ~c_Orderings_Oorder__class_Omono(_u2946, _u2946, _u2947) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2946), c_Inductive_Ocomplete__lattice__class_Olfp(_u2946, _u2947)), hAPP(_u2947, c_Inductive_Ocomplete__lattice__class_Olfp(_u2946, _u2947)))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_lfp__lemma2 ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_lfp__lemma2-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2948) | ~c_Orderings_Oorder__class_Omono(_u2948, _u2948, _u2949) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2948), hAPP(_u2949, c_Inductive_Ocomplete__lattice__class_Olfp(_u2948, _u2949))), c_Inductive_Ocomplete__lattice__class_Olfp(_u2948, _u2949))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_diff__eq__diff__eq ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_diff__eq__diff__eq-1, axiom, ( ~class_Groups_Oab__group__add(_u2950) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2950), _u2951), _u2952) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2950), _u2953), _u2954)) | ( _u2951 != _u2952) | ( _u2953 = _u2954) )).
% 39.89/40.05 cnf(fact_diff__eq__diff__eq-2, axiom, ( ~class_Groups_Oab__group__add(_u2950) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2950), _u2951), _u2952) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2950), _u2953), _u2954)) | ( _u2953 != _u2954) | ( _u2951 = _u2952) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_lfp__induct ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_lfp__induct-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2955) | ~c_Orderings_Oorder__class_Omono(_u2955, _u2955, _u2956) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2955), hAPP(_u2956, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2955), c_Inductive_Ocomplete__lattice__class_Olfp(_u2955, _u2956)), _u2957))), _u2957)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2955), c_Inductive_Ocomplete__lattice__class_Olfp(_u2955, _u2956)), _u2957)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_def__lfp__induct ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_def__lfp__induct-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2958) | ( _u2959 != c_Inductive_Ocomplete__lattice__class_Olfp(_u2958, _u2960)) | ~c_Orderings_Oorder__class_Omono(_u2958, _u2958, _u2960) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2958), hAPP(_u2960, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2958), _u2959), _u2961))), _u2961)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2958), _u2959), _u2961)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_def__lfp__induct__set ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_def__lfp__induct__set-1, axiom, ( ( _u2963 != c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(_u2964, tc_HOL_Obool), _u2965)) | ~c_Orderings_Oorder__class_Omono(tc_fun(_u2964, tc_HOL_Obool), tc_fun(_u2964, tc_HOL_Obool), _u2965) | ~hBOOL(hAPP(hAPP(c_member(_u2964), _u2966), _u2963)) | hBOOL(hAPP(_u2967, _u2966)) | hBOOL(hAPP(hAPP(c_member(_u2964), skolem56(_u2967, _u2966, _u2965, _u2964, _u2963)), hAPP(_u2965, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2964, tc_HOL_Obool)), _u2963), hAPP(c_Set_OCollect(_u2964), _u2967))))) )).
% 39.89/40.05 cnf(fact_def__lfp__induct__set-2, axiom, ( ( _u2963 != c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(_u2964, tc_HOL_Obool), _u2965)) | ~c_Orderings_Oorder__class_Omono(tc_fun(_u2964, tc_HOL_Obool), tc_fun(_u2964, tc_HOL_Obool), _u2965) | ~hBOOL(hAPP(hAPP(c_member(_u2964), _u2966), _u2963)) | hBOOL(hAPP(_u2967, _u2966)) | ~hBOOL(hAPP(_u2967, skolem56(_u2967, _u2966, _u2965, _u2964, _u2963))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_lfp__induct__set ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_lfp__induct__set-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2969), _u2970), c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(_u2969, tc_HOL_Obool), _u2971))) | ~c_Orderings_Oorder__class_Omono(tc_fun(_u2969, tc_HOL_Obool), tc_fun(_u2969, tc_HOL_Obool), _u2971) | hBOOL(hAPP(_u2972, _u2970)) | hBOOL(hAPP(hAPP(c_member(_u2969), skolem57(_u2972, _u2971, _u2970, _u2969)), hAPP(_u2971, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2969, tc_HOL_Obool)), c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(_u2969, tc_HOL_Obool), _u2971)), hAPP(c_Set_OCollect(_u2969), _u2972))))) )).
% 39.89/40.05 cnf(fact_lfp__induct__set-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2969), _u2970), c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(_u2969, tc_HOL_Obool), _u2971))) | ~c_Orderings_Oorder__class_Omono(tc_fun(_u2969, tc_HOL_Obool), tc_fun(_u2969, tc_HOL_Obool), _u2971) | hBOOL(hAPP(_u2972, _u2970)) | ~hBOOL(hAPP(_u2972, skolem57(_u2972, _u2971, _u2970, _u2969))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_fold__graph_H_Oequations_I2_J ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_fold__graph_H_Oequations_I2_J-1, axiom, ( ~c_Nitpick_Ofold__graph_H(_u2984, _u2986, _u2988, _u2990, _u2992, hAPP(hAPP(_u2988, _u2994), _u2996)) | ( _u2992 = c_Orderings_Obot__class_Obot(tc_fun(_u2984, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u2984), skolem58(_u2996, _u2994, _u2992, _u2990, _u2988, _u2986, _u2984)), _u2992)) )).
% 39.89/40.05 cnf(fact_fold__graph_H_Oequations_I2_J-2, axiom, ( ~c_Nitpick_Ofold__graph_H(_u2984, _u2986, _u2988, _u2990, _u2992, hAPP(hAPP(_u2988, _u2994), _u2996)) | ( _u2992 = c_Orderings_Obot__class_Obot(tc_fun(_u2984, tc_HOL_Obool))) | ( hAPP(hAPP(_u2988, _u2994), _u2996) = hAPP(hAPP(_u2988, skolem58(_u2996, _u2994, _u2992, _u2990, _u2988, _u2986, _u2984)), skolem59(_u2996, _u2994, _u2992, _u2990, _u2988, _u2986, _u2984))) )).
% 39.89/40.05 cnf(fact_fold__graph_H_Oequations_I2_J-3, axiom, ( ~c_Nitpick_Ofold__graph_H(_u2984, _u2986, _u2988, _u2990, _u2992, hAPP(hAPP(_u2988, _u2994), _u2996)) | ( _u2992 = c_Orderings_Obot__class_Obot(tc_fun(_u2984, tc_HOL_Obool))) | c_Nitpick_Ofold__graph_H(_u2984, _u2986, _u2988, _u2990, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2984, tc_HOL_Obool)), _u2992), hAPP(hAPP(c_Set_Oinsert(_u2984), skolem58(_u2996, _u2994, _u2992, _u2990, _u2988, _u2986, _u2984)), c_Orderings_Obot__class_Obot(tc_fun(_u2984, tc_HOL_Obool)))), skolem59(_u2996, _u2994, _u2992, _u2990, _u2988, _u2986, _u2984)) )).
% 39.89/40.05 cnf(fact_fold__graph_H_Oequations_I2_J-4, axiom, ( ~c_Nitpick_Ofold__graph_H(_u2984, _u2986, _u2988, _u2990, _u2992, hAPP(hAPP(_u2988, _u2994), _u2996)) | ( hAPP(hAPP(_u2988, _u2994), _u2996) = _u2990) | hBOOL(hAPP(hAPP(c_member(_u2984), skolem58(_u2996, _u2994, _u2992, _u2990, _u2988, _u2986, _u2984)), _u2992)) )).
% 39.89/40.05 cnf(fact_fold__graph_H_Oequations_I2_J-5, axiom, ( ~c_Nitpick_Ofold__graph_H(_u2984, _u2986, _u2988, _u2990, _u2992, hAPP(hAPP(_u2988, _u2994), _u2996)) | ( hAPP(hAPP(_u2988, _u2994), _u2996) = _u2990) | ( hAPP(hAPP(_u2988, _u2994), _u2996) = hAPP(hAPP(_u2988, skolem58(_u2996, _u2994, _u2992, _u2990, _u2988, _u2986, _u2984)), skolem59(_u2996, _u2994, _u2992, _u2990, _u2988, _u2986, _u2984))) )).
% 39.89/40.05 cnf(fact_fold__graph_H_Oequations_I2_J-6, axiom, ( ~c_Nitpick_Ofold__graph_H(_u2984, _u2986, _u2988, _u2990, _u2992, hAPP(hAPP(_u2988, _u2994), _u2996)) | ( hAPP(hAPP(_u2988, _u2994), _u2996) = _u2990) | c_Nitpick_Ofold__graph_H(_u2984, _u2986, _u2988, _u2990, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2984, tc_HOL_Obool)), _u2992), hAPP(hAPP(c_Set_Oinsert(_u2984), skolem58(_u2996, _u2994, _u2992, _u2990, _u2988, _u2986, _u2984)), c_Orderings_Obot__class_Obot(tc_fun(_u2984, tc_HOL_Obool)))), skolem59(_u2996, _u2994, _u2992, _u2990, _u2988, _u2986, _u2984)) )).
% 39.89/40.05 cnf(fact_fold__graph_H_Oequations_I2_J-7, axiom, ( c_Nitpick_Ofold__graph_H(_u2985, _u2987, _u2989, _u2991, _u2993, hAPP(hAPP(_u2989, _u2995), _u2997)) | ( _u2993 != c_Orderings_Obot__class_Obot(tc_fun(_u2985, tc_HOL_Obool))) | ( hAPP(hAPP(_u2989, _u2995), _u2997) != _u2991) )).
% 39.89/40.05 cnf(fact_fold__graph_H_Oequations_I2_J-8, axiom, ( c_Nitpick_Ofold__graph_H(_u2985, _u2987, _u2989, _u2991, _u2993, hAPP(hAPP(_u2989, _u2995), _u2997)) | ~hBOOL(hAPP(hAPP(c_member(_u2985), _u2976), _u2993)) | ( hAPP(hAPP(_u2989, _u2995), _u2997) != hAPP(hAPP(_u2989, _u2976), _u2975)) | ~c_Nitpick_Ofold__graph_H(_u2985, _u2987, _u2989, _u2991, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2985, tc_HOL_Obool)), _u2993), hAPP(hAPP(c_Set_Oinsert(_u2985), _u2976), c_Orderings_Obot__class_Obot(tc_fun(_u2985, tc_HOL_Obool)))), _u2975) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_order__fun_I2_J ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_order__fun_I2_J-1, axiom, ( ~class_Orderings_Oorder(_u2998) | ~class_Enum_Oenum(_u2999) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2999, _u2998)), _u3000), _u3001)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2999, _u2998)), _u3000), _u3001)) )).
% 39.89/40.05 cnf(fact_order__fun_I2_J-2, axiom, ( ~class_Orderings_Oorder(_u2998) | ~class_Enum_Oenum(_u2999) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2999, _u2998)), _u3000), _u3001)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u2999), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u2999), c_fNot), hAPP(hAPP(c_COMBS(_u2999, _u2998, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u2998, tc_fun(_u2998, tc_HOL_Obool), _u2999), c_fequal), _u3000)), _u3001)))) )).
% 39.89/40.05 cnf(fact_order__fun_I2_J-3, axiom, ( ~class_Orderings_Oorder(_u2998) | ~class_Enum_Oenum(_u2999) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2999, _u2998)), _u3000), _u3001)) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u2999), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u2999), c_fNot), hAPP(hAPP(c_COMBS(_u2999, _u2998, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u2998, tc_fun(_u2998, tc_HOL_Obool), _u2999), c_fequal), _u3000)), _u3001)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2999, _u2998)), _u3000), _u3001)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_inj__on__Un ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_inj__on__Un-1, axiom, ( ~c_Fun_Oinj__on(_u3007, _u3009, _u3011, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3007, tc_HOL_Obool)), _u3013), _u3015)) | c_Fun_Oinj__on(_u3007, _u3009, _u3011, _u3013) )).
% 39.89/40.05 cnf(fact_inj__on__Un-2, axiom, ( ~c_Fun_Oinj__on(_u3007, _u3009, _u3011, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3007, tc_HOL_Obool)), _u3013), _u3015)) | c_Fun_Oinj__on(_u3007, _u3009, _u3011, _u3015) )).
% 39.89/40.05 cnf(fact_inj__on__Un-3, axiom, ( ~c_Fun_Oinj__on(_u3007, _u3009, _u3011, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3007, tc_HOL_Obool)), _u3013), _u3015)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3009, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u3007, _u3009, _u3011), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3007, tc_HOL_Obool)), _u3013), _u3015))), hAPP(c_Set_Oimage(_u3007, _u3009, _u3011), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3007, tc_HOL_Obool)), _u3015), _u3013))) = c_Orderings_Obot__class_Obot(tc_fun(_u3009, tc_HOL_Obool))) )).
% 39.89/40.05 cnf(fact_inj__on__Un-4, axiom, ( ~c_Fun_Oinj__on(_u3008, _u3010, _u3012, _u3014) | ~c_Fun_Oinj__on(_u3008, _u3010, _u3012, _u3016) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3010, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u3008, _u3010, _u3012), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3008, tc_HOL_Obool)), _u3014), _u3016))), hAPP(c_Set_Oimage(_u3008, _u3010, _u3012), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3008, tc_HOL_Obool)), _u3016), _u3014))) != c_Orderings_Obot__class_Obot(tc_fun(_u3010, tc_HOL_Obool))) | c_Fun_Oinj__on(_u3008, _u3010, _u3012, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3008, tc_HOL_Obool)), _u3014), _u3016)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_inj__on__insert ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_inj__on__insert-1, axiom, ( ~c_Fun_Oinj__on(_u3022, _u3024, _u3026, hAPP(hAPP(c_Set_Oinsert(_u3022), _u3028), _u3030)) | c_Fun_Oinj__on(_u3022, _u3024, _u3026, _u3030) )).
% 39.89/40.05 cnf(fact_inj__on__insert-2, axiom, ( ~c_Fun_Oinj__on(_u3022, _u3024, _u3026, hAPP(hAPP(c_Set_Oinsert(_u3022), _u3028), _u3030)) | ~hBOOL(hAPP(hAPP(c_member(_u3024), hAPP(_u3026, _u3028)), hAPP(c_Set_Oimage(_u3022, _u3024, _u3026), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3022, tc_HOL_Obool)), _u3030), hAPP(hAPP(c_Set_Oinsert(_u3022), _u3028), c_Orderings_Obot__class_Obot(tc_fun(_u3022, tc_HOL_Obool))))))) )).
% 39.89/40.05 cnf(fact_inj__on__insert-3, axiom, ( ~c_Fun_Oinj__on(_u3023, _u3025, _u3027, _u3031) | hBOOL(hAPP(hAPP(c_member(_u3025), hAPP(_u3027, _u3029)), hAPP(c_Set_Oimage(_u3023, _u3025, _u3027), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3023, tc_HOL_Obool)), _u3031), hAPP(hAPP(c_Set_Oinsert(_u3023), _u3029), c_Orderings_Obot__class_Obot(tc_fun(_u3023, tc_HOL_Obool))))))) | c_Fun_Oinj__on(_u3023, _u3025, _u3027, hAPP(hAPP(c_Set_Oinsert(_u3023), _u3029), _u3031)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_mk__less__def ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_mk__less__def-1, axiom, ( ~c_Partial__Function_Omk__less(_u3036, _u3038, _u3040, _u3042) | hBOOL(hAPP(hAPP(_u3038, _u3040), _u3042)) )).
% 39.89/40.05 cnf(fact_mk__less__def-2, axiom, ( ~c_Partial__Function_Omk__less(_u3036, _u3038, _u3040, _u3042) | ~hBOOL(hAPP(hAPP(_u3038, _u3042), _u3040)) )).
% 39.89/40.05 cnf(fact_mk__less__def-3, axiom, ( ~hBOOL(hAPP(hAPP(_u3039, _u3041), _u3043)) | hBOOL(hAPP(hAPP(_u3039, _u3043), _u3041)) | c_Partial__Function_Omk__less(_u3037, _u3039, _u3041, _u3043) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_dom__override__on ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_dom__override__on-1, axiom, ( ( c_Map_Odom(_u3044, _u3045, c_Fun_Ooverride__on(_u3044, tc_Option_Ooption(_u3045), _u3046, _u3047, _u3048)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3044, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3044, tc_HOL_Obool)), c_Map_Odom(_u3044, _u3045, _u3046)), hAPP(c_Set_OCollect(_u3044), hAPP(hAPP(c_COMBC(_u3044, tc_fun(_u3044, tc_HOL_Obool), tc_HOL_Obool), c_member(_u3044)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3044, tc_HOL_Obool)), _u3048), c_Map_Odom(_u3044, _u3045, _u3047)))))), hAPP(c_Set_OCollect(_u3044), hAPP(hAPP(c_COMBC(_u3044, tc_fun(_u3044, tc_HOL_Obool), tc_HOL_Obool), c_member(_u3044)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3044, tc_HOL_Obool)), _u3048), c_Map_Odom(_u3044, _u3045, _u3047)))))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_psubset__imp__ex__mem ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_psubset__imp__ex__mem-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3050, tc_HOL_Obool)), _u3051), _u3052)) | hBOOL(hAPP(hAPP(c_member(_u3050), skolem60(_u3052, _u3051, _u3050)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3050, tc_HOL_Obool)), _u3052), _u3051))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_inj__on__empty ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_inj__on__empty-1, axiom, ( c_Fun_Oinj__on(_u3053, _u3054, _u3055, c_Orderings_Obot__class_Obot(tc_fun(_u3053, tc_HOL_Obool))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_diff__commute ( axiom ) converted to clauses:
% 39.89/40.05 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), _u3056), _u3057)), _u3058) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3056), _u3058)), _u3057)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_less__imp__diff__less ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_less__imp__diff__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3059), _u3060)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3059), _u3061)), _u3060)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_diff__less__mono2 ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_diff__less__mono2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3062), _u3063)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3062), _u3064)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3064), _u3063)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3064), _u3062))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_inj__on__id2 ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_inj__on__id2-1, axiom, ( c_Fun_Oinj__on(_u3065, _u3065, c_COMBI(_u3065), _u3066) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_inj__on__def ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_inj__on__def-1, axiom, ( ~c_Fun_Oinj__on(_u3075, _u3077, _u3079, _u3081) | ~hBOOL(hAPP(hAPP(c_member(_u3075), _u3068), _u3081)) | ~hBOOL(hAPP(hAPP(c_member(_u3075), _u3067), _u3081)) | ( hAPP(_u3079, _u3068) != hAPP(_u3079, _u3067)) | ( _u3068 = _u3067) )).
% 39.89/40.05 cnf(fact_inj__on__def-2, axiom, ( c_Fun_Oinj__on(_u3076, _u3078, _u3080, _u3082) | hBOOL(hAPP(hAPP(c_member(_u3076), skolem61(_u3082, _u3080, _u3078, _u3076)), _u3082)) )).
% 39.89/40.05 cnf(fact_inj__on__def-3, axiom, ( c_Fun_Oinj__on(_u3076, _u3078, _u3080, _u3082) | hBOOL(hAPP(hAPP(c_member(_u3076), skolem62(_u3082, _u3080, _u3078, _u3076)), _u3082)) )).
% 39.89/40.05 cnf(fact_inj__on__def-4, axiom, ( c_Fun_Oinj__on(_u3076, _u3078, _u3080, _u3082) | ( hAPP(_u3080, skolem61(_u3082, _u3080, _u3078, _u3076)) = hAPP(_u3080, skolem62(_u3082, _u3080, _u3078, _u3076))) )).
% 39.89/40.05 cnf(fact_inj__on__def-5, axiom, ( c_Fun_Oinj__on(_u3076, _u3078, _u3080, _u3082) | ( skolem61(_u3082, _u3080, _u3078, _u3076) != skolem62(_u3082, _u3080, _u3078, _u3076)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_exists__code ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_exists__code-1, axiom, ( ~class_Enum_Oenum(_u3085) | ~hBOOL(hAPP(_u3086, _u3083)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u3085), _u3086)) )).
% 39.89/40.05 cnf(fact_exists__code-2, axiom, ( ~class_Enum_Oenum(_u3085) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u3085), _u3086)) | hBOOL(hAPP(_u3086, skolem63(_u3086, _u3085))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_enum__ex ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_enum__ex-1, axiom, ( ~class_Enum_Oenum(_u3089) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u3089), _u3090)) | hBOOL(hAPP(_u3090, skolem64(_u3090, _u3089))) )).
% 39.89/40.05 cnf(fact_enum__ex-2, axiom, ( ~class_Enum_Oenum(_u3089) | ~hBOOL(hAPP(_u3090, _u3088)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u3089), _u3090)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_inj__on__contraD ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_inj__on__contraD-1, axiom, ( ~c_Fun_Oinj__on(_u3091, _u3092, _u3093, _u3094) | ( _u3095 = _u3096) | ~hBOOL(hAPP(hAPP(c_member(_u3091), _u3095), _u3094)) | ~hBOOL(hAPP(hAPP(c_member(_u3091), _u3096), _u3094)) | ( hAPP(_u3093, _u3095) != hAPP(_u3093, _u3096)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_inj__on__iff ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_inj__on__iff-1, axiom, ( ~c_Fun_Oinj__on(_u3097, _u3098, _u3099, _u3100) | ~hBOOL(hAPP(hAPP(c_member(_u3097), _u3101), _u3100)) | ~hBOOL(hAPP(hAPP(c_member(_u3097), _u3102), _u3100)) | ( hAPP(_u3099, _u3101) != hAPP(_u3099, _u3102)) | ( _u3101 = _u3102) )).
% 39.89/40.05 cnf(fact_inj__on__iff-2, axiom, ( ~c_Fun_Oinj__on(_u3097, _u3098, _u3099, _u3100) | ~hBOOL(hAPP(hAPP(c_member(_u3097), _u3101), _u3100)) | ~hBOOL(hAPP(hAPP(c_member(_u3097), _u3102), _u3100)) | ( _u3101 != _u3102) | ( hAPP(_u3099, _u3101) = hAPP(_u3099, _u3102)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_inj__onD ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_inj__onD-1, axiom, ( ~c_Fun_Oinj__on(_u3103, _u3104, _u3105, _u3106) | ( hAPP(_u3105, _u3107) != hAPP(_u3105, _u3108)) | ~hBOOL(hAPP(hAPP(c_member(_u3103), _u3107), _u3106)) | ~hBOOL(hAPP(hAPP(c_member(_u3103), _u3108), _u3106)) | ( _u3107 = _u3108) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_subset__inj__on ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_subset__inj__on-1, axiom, ( ~c_Fun_Oinj__on(_u3109, _u3110, _u3111, _u3112) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3109, tc_HOL_Obool)), _u3113), _u3112)) | c_Fun_Oinj__on(_u3109, _u3110, _u3111, _u3113) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_inj__on__Int ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_inj__on__Int-1, axiom, ( ~c_Fun_Oinj__on(_u3114, _u3115, _u3116, _u3117) | ~c_Fun_Oinj__on(_u3114, _u3115, _u3116, _u3118) | c_Fun_Oinj__on(_u3114, _u3115, _u3116, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3114, tc_HOL_Obool)), _u3117), _u3118)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_inj__on__imageI2 ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_inj__on__imageI2-1, axiom, ( ~c_Fun_Oinj__on(_u3119, _u3120, hAPP(c_Fun_Ocomp(_u3121, _u3120, _u3119, _u3122), _u3123), _u3124) | c_Fun_Oinj__on(_u3119, _u3121, _u3123, _u3124) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_inj__on__diff ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_inj__on__diff-1, axiom, ( ~c_Fun_Oinj__on(_u3125, _u3126, _u3127, _u3128) | c_Fun_Oinj__on(_u3125, _u3126, _u3127, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3125, tc_HOL_Obool)), _u3128), _u3129)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_termination__basic__simps_I5_J ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_termination__basic__simps_I5_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3130), _u3131)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3130), _u3131)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_nat__less__le ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_nat__less__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3134), _u3136)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3134), _u3136)) )).
% 39.89/40.05 cnf(fact_nat__less__le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3134), _u3136)) | ( _u3134 != _u3136) )).
% 39.89/40.05 cnf(fact_nat__less__le-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3135), _u3137)) | ( _u3135 = _u3137) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3135), _u3137)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_le__eq__less__or__eq ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_le__eq__less__or__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3140), _u3142)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3140), _u3142)) | ( _u3140 = _u3142) )).
% 39.89/40.05 cnf(fact_le__eq__less__or__eq-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3141), _u3143)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3141), _u3143)) )).
% 39.89/40.05 cnf(fact_le__eq__less__or__eq-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3141), _u3143)) | ( _u3141 != _u3143) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_less__imp__le__nat ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_less__imp__le__nat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3144), _u3145)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3144), _u3145)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_le__neq__implies__less ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_le__neq__implies__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3146), _u3147)) | ( _u3146 = _u3147) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3146), _u3147)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_less__or__eq__imp__le ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_less__or__eq__imp__le-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3148), _u3149)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3148), _u3149)) )).
% 39.89/40.05 cnf(fact_less__or__eq__imp__le-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3148), _u3149)) | ( _u3148 != _u3149) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_less__diff__iff ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_less__diff__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3150), _u3151)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3150), _u3152)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3151), _u3150)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3152), _u3150))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3151), _u3152)) )).
% 39.89/40.05 cnf(fact_less__diff__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3150), _u3151)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3150), _u3152)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3151), _u3152)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3151), _u3150)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3152), _u3150))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_diff__less__mono ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_diff__less__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3153), _u3154)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3155), _u3153)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3153), _u3155)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3154), _u3155))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_strict__mono__imp__inj__on ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_strict__mono__imp__inj__on-1, axiom, ( ~class_Orderings_Oorder(_u3156) | ~class_Orderings_Olinorder(_u3157) | ~c_Orderings_Oorder__class_Ostrict__mono(_u3157, _u3156, _u3158) | c_Fun_Oinj__on(_u3157, _u3156, _u3158, _u3159) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_inj__on__Un__image__eq__iff ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_inj__on__Un__image__eq__iff-1, axiom, ( ~c_Fun_Oinj__on(_u3160, _u3161, _u3162, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3160, tc_HOL_Obool)), _u3163), _u3164)) | ( hAPP(c_Set_Oimage(_u3160, _u3161, _u3162), _u3163) != hAPP(c_Set_Oimage(_u3160, _u3161, _u3162), _u3164)) | ( _u3163 = _u3164) )).
% 39.89/40.05 cnf(fact_inj__on__Un__image__eq__iff-2, axiom, ( ~c_Fun_Oinj__on(_u3160, _u3161, _u3162, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3160, tc_HOL_Obool)), _u3163), _u3164)) | ( _u3163 != _u3164) | ( hAPP(c_Set_Oimage(_u3160, _u3161, _u3162), _u3163) = hAPP(c_Set_Oimage(_u3160, _u3161, _u3162), _u3164)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_comp__inj__on__iff ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_comp__inj__on__iff-1, axiom, ( ~c_Fun_Oinj__on(_u3165, _u3166, _u3167, _u3168) | ~c_Fun_Oinj__on(_u3166, _u3169, _u3170, hAPP(c_Set_Oimage(_u3165, _u3166, _u3167), _u3168)) | c_Fun_Oinj__on(_u3165, _u3169, hAPP(c_Fun_Ocomp(_u3166, _u3169, _u3165, _u3170), _u3167), _u3168) )).
% 39.89/40.05 cnf(fact_comp__inj__on__iff-2, axiom, ( ~c_Fun_Oinj__on(_u3165, _u3166, _u3167, _u3168) | ~c_Fun_Oinj__on(_u3165, _u3169, hAPP(c_Fun_Ocomp(_u3166, _u3169, _u3165, _u3170), _u3167), _u3168) | c_Fun_Oinj__on(_u3166, _u3169, _u3170, hAPP(c_Set_Oimage(_u3165, _u3166, _u3167), _u3168)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_comp__inj__on ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_comp__inj__on-1, axiom, ( ~c_Fun_Oinj__on(_u3171, _u3172, _u3173, _u3174) | ~c_Fun_Oinj__on(_u3172, _u3175, _u3176, hAPP(c_Set_Oimage(_u3171, _u3172, _u3173), _u3174)) | c_Fun_Oinj__on(_u3171, _u3175, hAPP(c_Fun_Ocomp(_u3172, _u3175, _u3171, _u3176), _u3173), _u3174) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_inj__on__imageI ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_inj__on__imageI-1, axiom, ( ~c_Fun_Oinj__on(_u3177, _u3178, hAPP(c_Fun_Ocomp(_u3179, _u3178, _u3177, _u3180), _u3181), _u3182) | c_Fun_Oinj__on(_u3179, _u3178, _u3180, hAPP(c_Set_Oimage(_u3177, _u3179, _u3181), _u3182)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_inj__on__strict__subset ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_inj__on__strict__subset-1, axiom, ( ~c_Fun_Oinj__on(_u3183, _u3184, _u3185, _u3186) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3183, tc_HOL_Obool)), _u3187), _u3186)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3184, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u3183, _u3184, _u3185), _u3187)), hAPP(c_Set_Oimage(_u3183, _u3184, _u3185), _u3186))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_the__inv__into__f__f ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_the__inv__into__f__f-1, axiom, ( ~c_Fun_Oinj__on(_u3188, _u3189, _u3190, _u3191) | ~hBOOL(hAPP(hAPP(c_member(_u3188), _u3192), _u3191)) | ( hAPP(c_Fun_Othe__inv__into(_u3188, _u3189, _u3191, _u3190), hAPP(_u3190, _u3192)) = _u3192) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_the__inv__into__f__eq ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_the__inv__into__f__eq-1, axiom, ( ~c_Fun_Oinj__on(_u3193, _u3194, _u3195, _u3196) | ( hAPP(_u3195, _u3197) != _u3198) | ~hBOOL(hAPP(hAPP(c_member(_u3193), _u3197), _u3196)) | ( hAPP(c_Fun_Othe__inv__into(_u3193, _u3194, _u3196, _u3195), _u3198) = _u3197) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_inj__on__the__inv__into ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_inj__on__the__inv__into-1, axiom, ( ~c_Fun_Oinj__on(_u3199, _u3200, _u3201, _u3202) | c_Fun_Oinj__on(_u3200, _u3199, c_Fun_Othe__inv__into(_u3199, _u3200, _u3202, _u3201), hAPP(c_Set_Oimage(_u3199, _u3200, _u3201), _u3202)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_the__inv__into__onto ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_the__inv__into__onto-1, axiom, ( ~c_Fun_Oinj__on(_u3203, _u3204, _u3205, _u3206) | ( hAPP(c_Set_Oimage(_u3204, _u3203, c_Fun_Othe__inv__into(_u3203, _u3204, _u3206, _u3205)), hAPP(c_Set_Oimage(_u3203, _u3204, _u3205), _u3206)) = _u3206) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_dom__if ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_dom__if-1, axiom, ( ( c_Map_Odom(_u3207, _u3208, hAPP(hAPP(c_COMBS(_u3207, tc_Option_Ooption(_u3208), tc_Option_Ooption(_u3208)), hAPP(hAPP(c_COMBS(_u3207, tc_Option_Ooption(_u3208), tc_fun(tc_Option_Ooption(_u3208), tc_Option_Ooption(_u3208))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_Option_Ooption(_u3208), tc_fun(tc_Option_Ooption(_u3208), tc_Option_Ooption(_u3208))), _u3207), c_If(tc_Option_Ooption(_u3208))), _u3209)), _u3210)), _u3211)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3207, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3207, tc_HOL_Obool)), c_Map_Odom(_u3207, _u3208, _u3210)), hAPP(c_Set_OCollect(_u3207), _u3209))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3207, tc_HOL_Obool)), c_Map_Odom(_u3207, _u3208, _u3211)), hAPP(c_Set_OCollect(_u3207), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u3207), c_fNot), _u3209))))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_inj__on__image__Int ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_inj__on__image__Int-1, axiom, ( ~c_Fun_Oinj__on(_u3212, _u3213, _u3214, _u3215) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3212, tc_HOL_Obool)), _u3216), _u3215)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3212, tc_HOL_Obool)), _u3217), _u3215)) | ( hAPP(c_Set_Oimage(_u3212, _u3213, _u3214), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3212, tc_HOL_Obool)), _u3216), _u3217)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3213, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u3212, _u3213, _u3214), _u3216)), hAPP(c_Set_Oimage(_u3212, _u3213, _u3214), _u3217))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_inj__on__image__set__diff ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_inj__on__image__set__diff-1, axiom, ( ~c_Fun_Oinj__on(_u3218, _u3219, _u3220, _u3221) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3218, tc_HOL_Obool)), _u3222), _u3221)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3218, tc_HOL_Obool)), _u3223), _u3221)) | ( hAPP(c_Set_Oimage(_u3218, _u3219, _u3220), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3218, tc_HOL_Obool)), _u3222), _u3223)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3219, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u3218, _u3219, _u3220), _u3222)), hAPP(c_Set_Oimage(_u3218, _u3219, _u3220), _u3223))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_inj__on__fun__updI ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_inj__on__fun__updI-1, axiom, ( ~c_Fun_Oinj__on(_u3224, _u3225, _u3226, _u3227) | hBOOL(hAPP(hAPP(c_member(_u3225), _u3228), hAPP(c_Set_Oimage(_u3224, _u3225, _u3226), _u3227))) | c_Fun_Oinj__on(_u3224, _u3225, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3224, _u3225), _u3226), _u3229), _u3228), _u3227) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_f__the__inv__into__f ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_f__the__inv__into__f-1, axiom, ( ~c_Fun_Oinj__on(_u3230, _u3231, _u3232, _u3233) | ~hBOOL(hAPP(hAPP(c_member(_u3231), _u3234), hAPP(c_Set_Oimage(_u3230, _u3231, _u3232), _u3233))) | ( hAPP(_u3232, hAPP(c_Fun_Othe__inv__into(_u3230, _u3231, _u3233, _u3232), _u3234)) = _u3234) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_the__inv__into__into ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_the__inv__into__into-1, axiom, ( ~c_Fun_Oinj__on(_u3235, _u3236, _u3237, _u3238) | ~hBOOL(hAPP(hAPP(c_member(_u3236), _u3239), hAPP(c_Set_Oimage(_u3235, _u3236, _u3237), _u3238))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3235, tc_HOL_Obool)), _u3238), _u3240)) | hBOOL(hAPP(hAPP(c_member(_u3235), hAPP(c_Fun_Othe__inv__into(_u3235, _u3236, _u3238, _u3237), _u3239)), _u3240)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_the__inv__into__comp ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_the__inv__into__comp-1, axiom, ( ~c_Fun_Oinj__on(_u3241, _u3242, _u3243, hAPP(c_Set_Oimage(_u3244, _u3241, _u3245), _u3246)) | ~c_Fun_Oinj__on(_u3244, _u3241, _u3245, _u3246) | ~hBOOL(hAPP(hAPP(c_member(_u3242), _u3247), hAPP(c_Set_Oimage(_u3241, _u3242, _u3243), hAPP(c_Set_Oimage(_u3244, _u3241, _u3245), _u3246)))) | ( hAPP(c_Fun_Othe__inv__into(_u3244, _u3242, _u3246, hAPP(c_Fun_Ocomp(_u3241, _u3242, _u3244, _u3243), _u3245)), _u3247) = hAPP(hAPP(c_Fun_Ocomp(_u3241, _u3244, _u3242, c_Fun_Othe__inv__into(_u3244, _u3241, _u3246, _u3245)), c_Fun_Othe__inv__into(_u3241, _u3242, hAPP(c_Set_Oimage(_u3244, _u3241, _u3245), _u3246), _u3243)), _u3247)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_inj__on__iff__surj ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_inj__on__iff__surj-1, axiom, ( ( _u3252 = c_Orderings_Obot__class_Obot(tc_fun(_u3253, tc_HOL_Obool))) | ~c_Fun_Oinj__on(_u3253, _u3254, _u3248, _u3252) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3254, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u3253, _u3254, _u3248), _u3252)), _u3255)) | ( hAPP(c_Set_Oimage(_u3254, _u3253, skolem65(_u3255, _u3254, _u3253, _u3252)), _u3255) = _u3252) )).
% 39.89/40.05 cnf(fact_inj__on__iff__surj-2, axiom, ( ( _u3252 = c_Orderings_Obot__class_Obot(tc_fun(_u3253, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u3254, _u3253, _u3250), _u3255) != _u3252) | c_Fun_Oinj__on(_u3253, _u3254, skolem66(_u3255, _u3254, _u3253, _u3252), _u3252) )).
% 39.89/40.05 cnf(fact_inj__on__iff__surj-3, axiom, ( ( _u3252 = c_Orderings_Obot__class_Obot(tc_fun(_u3253, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u3254, _u3253, _u3250), _u3255) != _u3252) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3254, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u3253, _u3254, skolem66(_u3255, _u3254, _u3253, _u3252)), _u3252)), _u3255)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_restrict__fun__upd ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_restrict__fun__upd-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u3262), _u3264), _u3266)) | ( c_Map_Orestrict__map(_u3262, _u3268, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3262, tc_Option_Ooption(_u3268)), _u3270), _u3264), _u3272), _u3266) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3262, tc_Option_Ooption(_u3268)), c_Map_Orestrict__map(_u3262, _u3268, _u3270, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3262, tc_HOL_Obool)), _u3266), hAPP(hAPP(c_Set_Oinsert(_u3262), _u3264), c_Orderings_Obot__class_Obot(tc_fun(_u3262, tc_HOL_Obool)))))), _u3264), _u3272)) )).
% 39.89/40.05 cnf(fact_restrict__fun__upd-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u3263), _u3265), _u3267)) | ( c_Map_Orestrict__map(_u3263, _u3269, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3263, tc_Option_Ooption(_u3269)), _u3271), _u3265), _u3273), _u3267) = c_Map_Orestrict__map(_u3263, _u3269, _u3271, _u3267)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_fun__upd__restrict__conv ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_fun__upd__restrict__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u3274), _u3275), _u3276)) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3274, tc_Option_Ooption(_u3277)), c_Map_Orestrict__map(_u3274, _u3277, _u3278, _u3276)), _u3275), _u3279) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3274, tc_Option_Ooption(_u3277)), c_Map_Orestrict__map(_u3274, _u3277, _u3278, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3274, tc_HOL_Obool)), _u3276), hAPP(hAPP(c_Set_Oinsert(_u3274), _u3275), c_Orderings_Obot__class_Obot(tc_fun(_u3274, tc_HOL_Obool)))))), _u3275), _u3279)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_setsum__diff1__nat ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_setsum__diff1__nat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u3284), _u3286), _u3288)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3284, tc_Nat_Onat), _u3290), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3284, tc_HOL_Obool)), _u3288), hAPP(hAPP(c_Set_Oinsert(_u3284), _u3286), c_Orderings_Obot__class_Obot(tc_fun(_u3284, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3284, tc_Nat_Onat), _u3290), _u3288)), hAPP(_u3290, _u3286))) )).
% 39.89/40.05 cnf(fact_setsum__diff1__nat-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u3285), _u3287), _u3289)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3285, tc_Nat_Onat), _u3291), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3285, tc_HOL_Obool)), _u3289), hAPP(hAPP(c_Set_Oinsert(_u3285), _u3287), c_Orderings_Obot__class_Obot(tc_fun(_u3285, tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3285, tc_Nat_Onat), _u3291), _u3289)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_dom__fun__upd ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_dom__fun__upd-1, axiom, ( ( _u3297 != c_Option_Ooption_ONone(_u3299)) | ( c_Map_Odom(_u3301, _u3299, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3301, tc_Option_Ooption(_u3299)), _u3303), _u3305), _u3297)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3301, tc_HOL_Obool)), c_Map_Odom(_u3301, _u3299, _u3303)), hAPP(hAPP(c_Set_Oinsert(_u3301), _u3305), c_Orderings_Obot__class_Obot(tc_fun(_u3301, tc_HOL_Obool))))) )).
% 39.89/40.05 cnf(fact_dom__fun__upd-2, axiom, ( ( _u3298 = c_Option_Ooption_ONone(_u3300)) | ( c_Map_Odom(_u3302, _u3300, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3302, tc_Option_Ooption(_u3300)), _u3304), _u3306), _u3298)) = hAPP(hAPP(c_Set_Oinsert(_u3302), _u3306), c_Map_Odom(_u3302, _u3300, _u3304))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_fun__upd__restrict ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_fun__upd__restrict-1, axiom, ( ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3307, tc_Option_Ooption(_u3308)), c_Map_Orestrict__map(_u3307, _u3308, _u3309, _u3310)), _u3311), _u3312) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3307, tc_Option_Ooption(_u3308)), c_Map_Orestrict__map(_u3307, _u3308, _u3309, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3307, tc_HOL_Obool)), _u3310), hAPP(hAPP(c_Set_Oinsert(_u3307), _u3311), c_Orderings_Obot__class_Obot(tc_fun(_u3307, tc_HOL_Obool)))))), _u3311), _u3312)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_quotient__diff1 ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_quotient__diff1-1, axiom, ( ~c_Fun_Oinj__on(_u3313, tc_fun(tc_fun(_u3313, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u3313, tc_fun(tc_prod(_u3313, _u3313), tc_HOL_Obool), tc_fun(tc_fun(_u3313, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3313, tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u3313, _u3313), tc_HOL_Obool), tc_fun(tc_fun(_u3313, tc_HOL_Obool), tc_HOL_Obool)), _u3313), c_Equiv__Relations_Oquotient(_u3313)), hAPP(hAPP(c_COMBC(_u3313, tc_fun(_u3313, tc_HOL_Obool), tc_fun(_u3313, tc_HOL_Obool)), c_Set_Oinsert(_u3313)), c_Orderings_Obot__class_Obot(tc_fun(_u3313, tc_HOL_Obool))))), _u3314), _u3315) | ~hBOOL(hAPP(hAPP(c_member(_u3313), _u3316), _u3315)) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u3313), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3313, tc_HOL_Obool)), _u3315), hAPP(hAPP(c_Set_Oinsert(_u3313), _u3316), c_Orderings_Obot__class_Obot(tc_fun(_u3313, tc_HOL_Obool))))), _u3314) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_fun(_u3313, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u3313), _u3315), _u3314)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u3313), hAPP(hAPP(c_Set_Oinsert(_u3313), _u3316), c_Orderings_Obot__class_Obot(tc_fun(_u3313, tc_HOL_Obool)))), _u3314))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_map__add__comm ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_map__add__comm-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3317, tc_HOL_Obool)), c_Map_Odom(_u3317, _u3318, _u3319)), c_Map_Odom(_u3317, _u3318, _u3320)) != c_Orderings_Obot__class_Obot(tc_fun(_u3317, tc_HOL_Obool))) | ( c_Map_Omap__add(_u3317, _u3318, _u3319, _u3320) = c_Map_Omap__add(_u3317, _u3318, _u3320, _u3319)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_fun__left__comm__idem__remove ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_fun__left__comm__idem__remove-1, axiom, ( c_Finite__Set_Ofun__left__comm__idem(_u3321, tc_fun(_u3321, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u3321, tc_HOL_Obool), tc_fun(tc_fun(_u3321, tc_HOL_Obool), tc_fun(_u3321, tc_HOL_Obool)), _u3321), hAPP(c_COMBC(tc_fun(_u3321, tc_HOL_Obool), tc_fun(_u3321, tc_HOL_Obool), tc_fun(_u3321, tc_HOL_Obool)), c_Groups_Ominus__class_Ominus(tc_fun(_u3321, tc_HOL_Obool)))), hAPP(hAPP(c_COMBC(_u3321, tc_fun(_u3321, tc_HOL_Obool), tc_fun(_u3321, tc_HOL_Obool)), c_Set_Oinsert(_u3321)), c_Orderings_Obot__class_Obot(tc_fun(_u3321, tc_HOL_Obool))))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_empty__upd__none ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_empty__upd__none-1, axiom, ( ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3322, tc_Option_Ooption(_u3323)), hAPP(c_COMBK(tc_Option_Ooption(_u3323), _u3322), c_Option_Ooption_ONone(_u3323))), _u3324), c_Option_Ooption_ONone(_u3323)), _u3325) = c_Option_Ooption_ONone(_u3323)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_nat__less__cases ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_nat__less__cases-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3326), _u3327)) | ( _u3326 = _u3327) | hBOOL(hAPP(hAPP(_u3328, _u3327), _u3326)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3327), _u3326)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_less__not__refl3 ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_less__not__refl3-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3329), _u3330)) | ( _u3329 != _u3330) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_less__not__refl2 ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_less__not__refl2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3331), _u3332)) | ( _u3332 != _u3331) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_less__irrefl__nat ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_less__irrefl__nat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3333), _u3333)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_linorder__neqE__nat ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_linorder__neqE__nat-1, axiom, ( ( _u3334 = _u3335) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3334), _u3335)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3335), _u3334)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_nat__neq__iff ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_nat__neq__iff-1, axiom, ( ( _u3338 = _u3340) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3338), _u3340)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3340), _u3338)) )).
% 39.89/40.05 cnf(fact_nat__neq__iff-2, axiom, ( ( _u3339 != _u3341) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3339), _u3341)) )).
% 39.89/40.05 cnf(fact_nat__neq__iff-3, axiom, ( ( _u3339 != _u3341) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3341), _u3339)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_less__not__refl ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_less__not__refl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3342), _u3342)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_map__add__None ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_map__add__None-1, axiom, ( ( hAPP(c_Map_Omap__add(_u3348, _u3350, _u3352, _u3354), _u3356) != c_Option_Ooption_ONone(_u3350)) | ( hAPP(_u3354, _u3356) = c_Option_Ooption_ONone(_u3350)) )).
% 39.89/40.05 cnf(fact_map__add__None-2, axiom, ( ( hAPP(c_Map_Omap__add(_u3348, _u3350, _u3352, _u3354), _u3356) != c_Option_Ooption_ONone(_u3350)) | ( hAPP(_u3352, _u3356) = c_Option_Ooption_ONone(_u3350)) )).
% 39.89/40.05 cnf(fact_map__add__None-3, axiom, ( ( hAPP(_u3355, _u3357) != c_Option_Ooption_ONone(_u3351)) | ( hAPP(_u3353, _u3357) != c_Option_Ooption_ONone(_u3351)) | ( hAPP(c_Map_Omap__add(_u3349, _u3351, _u3353, _u3355), _u3357) = c_Option_Ooption_ONone(_u3351)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_restrict__map__empty ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_restrict__map__empty-1, axiom, ( ( hAPP(c_Map_Orestrict__map(_u3358, _u3359, hAPP(c_COMBK(tc_Option_Ooption(_u3359), _u3358), c_Option_Ooption_ONone(_u3359)), _u3360), _u3361) = c_Option_Ooption_ONone(_u3359)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_empty__map__add ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_empty__map__add-1, axiom, ( ( c_Map_Omap__add(_u3362, _u3363, hAPP(c_COMBK(tc_Option_Ooption(_u3363), _u3362), c_Option_Ooption_ONone(_u3363)), _u3364) = _u3364) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_map__add__assoc ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_map__add__assoc-1, axiom, ( ( c_Map_Omap__add(_u3365, _u3366, _u3367, c_Map_Omap__add(_u3365, _u3366, _u3368, _u3369)) = c_Map_Omap__add(_u3365, _u3366, c_Map_Omap__add(_u3365, _u3366, _u3367, _u3368), _u3369)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_map__add__empty ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_map__add__empty-1, axiom, ( ( c_Map_Omap__add(_u3370, _u3371, _u3372, hAPP(c_COMBK(tc_Option_Ooption(_u3371), _u3370), c_Option_Ooption_ONone(_u3371))) = _u3372) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_restrict__out ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_restrict__out-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u3373), _u3374), _u3375)) | ( hAPP(c_Map_Orestrict__map(_u3373, _u3376, _u3377, _u3375), _u3374) = c_Option_Ooption_ONone(_u3376)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_setsum__commute ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_setsum__commute-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u3378) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3379, _u3378), hAPP(hAPP(c_COMBC(_u3379, tc_fun(_u3380, tc_HOL_Obool), _u3378), hAPP(hAPP(c_COMBB(tc_fun(_u3380, _u3378), tc_fun(tc_fun(_u3380, tc_HOL_Obool), _u3378), _u3379), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3380, _u3378)), _u3381)), _u3382)), _u3383) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3380, _u3378), hAPP(hAPP(c_COMBC(_u3380, tc_fun(_u3379, tc_HOL_Obool), _u3378), hAPP(hAPP(c_COMBB(tc_fun(_u3379, _u3378), tc_fun(tc_fun(_u3379, tc_HOL_Obool), _u3378), _u3380), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3379, _u3378)), hAPP(c_COMBC(_u3379, _u3380, _u3378), _u3381))), _u3383)), _u3382)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_fun__left__comm__idem_Ofun__left__comm__idem__apply ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_fun__left__comm__idem_Ofun__left__comm__idem__apply-1, axiom, ( ~c_Finite__Set_Ofun__left__comm__idem(_u3384, _u3385, _u3386) | c_Finite__Set_Ofun__left__comm__idem(_u3387, _u3385, hAPP(hAPP(c_COMBB(_u3384, tc_fun(_u3385, _u3385), _u3387), _u3386), _u3388)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_fun__left__comm__idem_Ofun__left__idem ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_fun__left__comm__idem_Ofun__left__idem-1, axiom, ( ( hAPP(hAPP(_u3391, _u3392), hAPP(hAPP(_u3391, _u3392), _u3393)) = hAPP(hAPP(_u3391, _u3392), _u3393)) | ~c_Finite__Set_Ofun__left__comm__idem(_u3389, _u3390, _u3391) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_restrict__map__def ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_restrict__map__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u3399), _u3401), _u3403)) | ( hAPP(c_Map_Orestrict__map(_u3399, _u3405, _u3407, _u3403), _u3401) = hAPP(_u3407, _u3401)) )).
% 39.89/40.05 cnf(fact_restrict__map__def-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u3400), _u3402), _u3404)) | ( hAPP(c_Map_Orestrict__map(_u3400, _u3406, _u3408, _u3404), _u3402) = c_Option_Ooption_ONone(_u3406)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_restrict__map__to__empty ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_restrict__map__to__empty-1, axiom, ( ( hAPP(c_Map_Orestrict__map(_u3409, _u3410, _u3411, c_Orderings_Obot__class_Obot(tc_fun(_u3409, tc_HOL_Obool))), _u3412) = c_Option_Ooption_ONone(_u3410)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_fun__left__comm__idem__insert ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_fun__left__comm__idem__insert-1, axiom, ( c_Finite__Set_Ofun__left__comm__idem(_u3413, tc_fun(_u3413, tc_HOL_Obool), c_Set_Oinsert(_u3413)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_fun__left__comm__idem__sup ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_fun__left__comm__idem__sup-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u3414) | c_Finite__Set_Ofun__left__comm__idem(_u3414, _u3414, c_Lattices_Osemilattice__sup__class_Osup(_u3414)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_fun__left__comm__idem__inf ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_fun__left__comm__idem__inf-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u3415) | c_Finite__Set_Ofun__left__comm__idem(_u3415, _u3415, c_Lattices_Osemilattice__inf__class_Oinf(_u3415)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_fun__left__comm__idem_Ofun__comp__idem ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_fun__left__comm__idem_Ofun__comp__idem-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u3417, _u3417, _u3417, hAPP(_u3418, _u3419)), hAPP(_u3418, _u3419)) = hAPP(_u3418, _u3419)) | ~c_Finite__Set_Ofun__left__comm__idem(_u3416, _u3417, _u3418) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_setsum__subtractf ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_setsum__subtractf-1, axiom, ( ~class_Groups_Oab__group__add(_u3420) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3421, _u3420), hAPP(hAPP(c_COMBS(_u3421, _u3420, _u3420), hAPP(hAPP(c_COMBB(_u3420, tc_fun(_u3420, _u3420), _u3421), c_Groups_Ominus__class_Ominus(_u3420)), _u3422)), _u3423)), _u3424) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3420), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3421, _u3420), _u3422), _u3424)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3421, _u3420), _u3423), _u3424))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_restrict__in ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_restrict__in-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u3425), _u3426), _u3427)) | ( hAPP(c_Map_Orestrict__map(_u3425, _u3428, _u3429, _u3427), _u3426) = hAPP(_u3429, _u3426)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_restrict__map__insert ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_restrict__map__insert-1, axiom, ( ( c_Map_Orestrict__map(_u3430, _u3431, _u3432, hAPP(hAPP(c_Set_Oinsert(_u3430), _u3433), _u3434)) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3430, tc_Option_Ooption(_u3431)), c_Map_Orestrict__map(_u3430, _u3431, _u3432, _u3434)), _u3433), hAPP(_u3432, _u3433))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_restrict__restrict ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_restrict__restrict-1, axiom, ( ( c_Map_Orestrict__map(_u3435, _u3436, c_Map_Orestrict__map(_u3435, _u3436, _u3437, _u3438), _u3439) = c_Map_Orestrict__map(_u3435, _u3436, _u3437, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3435, tc_HOL_Obool)), _u3438), _u3439))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_inj__on__map__add__dom ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_inj__on__map__add__dom-1, axiom, ( ~c_Fun_Oinj__on(_u3444, tc_Option_Ooption(_u3446), c_Map_Omap__add(_u3444, _u3446, _u3448, _u3450), c_Map_Odom(_u3444, _u3446, _u3450)) | c_Fun_Oinj__on(_u3444, tc_Option_Ooption(_u3446), _u3450, c_Map_Odom(_u3444, _u3446, _u3450)) )).
% 39.89/40.05 cnf(fact_inj__on__map__add__dom-2, axiom, ( ~c_Fun_Oinj__on(_u3445, tc_Option_Ooption(_u3447), _u3451, c_Map_Odom(_u3445, _u3447, _u3451)) | c_Fun_Oinj__on(_u3445, tc_Option_Ooption(_u3447), c_Map_Omap__add(_u3445, _u3447, _u3449, _u3451), c_Map_Odom(_u3445, _u3447, _u3451)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_quotient__is__empty ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_quotient__is__empty-1, axiom, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u3455), _u3457), _u3459) != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u3455, tc_HOL_Obool), tc_HOL_Obool))) | ( _u3457 = c_Orderings_Obot__class_Obot(tc_fun(_u3455, tc_HOL_Obool))) )).
% 39.89/40.05 cnf(fact_quotient__is__empty-2, axiom, ( ( _u3458 != c_Orderings_Obot__class_Obot(tc_fun(_u3456, tc_HOL_Obool))) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u3456), _u3458), _u3460) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u3456, tc_HOL_Obool), tc_HOL_Obool))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_quotient__is__empty2 ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_quotient__is__empty2-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u3464, tc_HOL_Obool), tc_HOL_Obool)) != hAPP(hAPP(c_Equiv__Relations_Oquotient(_u3464), _u3466), _u3468)) | ( _u3466 = c_Orderings_Obot__class_Obot(tc_fun(_u3464, tc_HOL_Obool))) )).
% 39.89/40.05 cnf(fact_quotient__is__empty2-2, axiom, ( ( _u3467 != c_Orderings_Obot__class_Obot(tc_fun(_u3465, tc_HOL_Obool))) | ( c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u3465, tc_HOL_Obool), tc_HOL_Obool)) = hAPP(hAPP(c_Equiv__Relations_Oquotient(_u3465), _u3467), _u3469)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_quotient__empty ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_quotient__empty-1, axiom, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u3470), c_Orderings_Obot__class_Obot(tc_fun(_u3470, tc_HOL_Obool))), _u3471) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u3470, tc_HOL_Obool), tc_HOL_Obool))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_fun__upd__None__restrict ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_fun__upd__None__restrict-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u3477), _u3479), _u3481)) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3477, tc_Option_Ooption(_u3483)), c_Map_Orestrict__map(_u3477, _u3483, _u3485, _u3481)), _u3479), c_Option_Ooption_ONone(_u3483)) = c_Map_Orestrict__map(_u3477, _u3483, _u3485, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3477, tc_HOL_Obool)), _u3481), hAPP(hAPP(c_Set_Oinsert(_u3477), _u3479), c_Orderings_Obot__class_Obot(tc_fun(_u3477, tc_HOL_Obool)))))) )).
% 39.89/40.05 cnf(fact_fun__upd__None__restrict-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u3478), _u3480), _u3482)) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3478, tc_Option_Ooption(_u3484)), c_Map_Orestrict__map(_u3478, _u3484, _u3486, _u3482)), _u3480), c_Option_Ooption_ONone(_u3484)) = c_Map_Orestrict__map(_u3478, _u3484, _u3486, _u3482)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_domIff ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_domIff-1, axiom, ( ( hAPP(_u3497, _u3493) != c_Option_Ooption_ONone(_u3495)) | ~hBOOL(hAPP(hAPP(c_member(_u3491), _u3493), c_Map_Odom(_u3491, _u3495, _u3497))) )).
% 39.89/40.05 cnf(fact_domIff-2, axiom, ( ( hAPP(_u3498, _u3494) = c_Option_Ooption_ONone(_u3496)) | hBOOL(hAPP(hAPP(c_member(_u3492), _u3494), c_Map_Odom(_u3492, _u3496, _u3498))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_map__add__dom__app__simps_I1_J ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_map__add__dom__app__simps_I1_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u3499), _u3500), c_Map_Odom(_u3499, _u3501, _u3502))) | ( hAPP(c_Map_Omap__add(_u3499, _u3501, _u3503, _u3502), _u3500) = hAPP(_u3502, _u3500)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_map__add__dom__app__simps_I3_J ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_map__add__dom__app__simps_I3_J-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u3504), _u3505), c_Map_Odom(_u3504, _u3506, _u3507))) | ( hAPP(c_Map_Omap__add(_u3504, _u3506, _u3508, _u3507), _u3505) = hAPP(_u3508, _u3505)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_map__add__dom__app__simps_I2_J ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_map__add__dom__app__simps_I2_J-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u3509), _u3510), c_Map_Odom(_u3509, _u3511, _u3512))) | ( hAPP(c_Map_Omap__add(_u3509, _u3511, _u3512, _u3513), _u3510) = hAPP(_u3513, _u3510)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_dom__eq__empty__conv ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_dom__eq__empty__conv-1, axiom, ( ( c_Map_Odom(_u3517, _u3519, _u3521) != c_Orderings_Obot__class_Obot(tc_fun(_u3517, tc_HOL_Obool))) | ( _u3521 = hAPP(c_COMBK(tc_Option_Ooption(_u3519), _u3517), c_Option_Ooption_ONone(_u3519))) )).
% 39.89/40.05 cnf(fact_dom__eq__empty__conv-2, axiom, ( ( _u3522 != hAPP(c_COMBK(tc_Option_Ooption(_u3520), _u3518), c_Option_Ooption_ONone(_u3520))) | ( c_Map_Odom(_u3518, _u3520, _u3522) = c_Orderings_Obot__class_Obot(tc_fun(_u3518, tc_HOL_Obool))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_dom__empty ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_dom__empty-1, axiom, ( ( c_Map_Odom(_u3523, _u3524, hAPP(c_COMBK(tc_Option_Ooption(_u3524), _u3523), c_Option_Ooption_ONone(_u3524))) = c_Orderings_Obot__class_Obot(tc_fun(_u3523, tc_HOL_Obool))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_dom__def ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_dom__def-1, axiom, ( ( c_Map_Odom(_u3525, _u3526, _u3527) = hAPP(c_Set_OCollect(_u3525), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u3525), c_fNot), hAPP(hAPP(c_COMBC(_u3525, tc_Option_Ooption(_u3526), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Option_Ooption(_u3526), tc_fun(tc_Option_Ooption(_u3526), tc_HOL_Obool), _u3525), c_fequal), _u3527)), c_Option_Ooption_ONone(_u3526))))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_dom__map__add ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_dom__map__add-1, axiom, ( ( c_Map_Odom(_u3528, _u3529, c_Map_Omap__add(_u3528, _u3529, _u3530, _u3531)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3528, tc_HOL_Obool)), c_Map_Odom(_u3528, _u3529, _u3531)), c_Map_Odom(_u3528, _u3529, _u3530))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_dom__restrict ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_dom__restrict-1, axiom, ( ( c_Map_Odom(_u3532, _u3533, c_Map_Orestrict__map(_u3532, _u3533, _u3534, _u3535)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3532, tc_HOL_Obool)), c_Map_Odom(_u3532, _u3533, _u3534)), _u3535)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_setsum__reindex ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_setsum__reindex-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u3536) | ~c_Fun_Oinj__on(_u3537, _u3538, _u3539, _u3540) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3538, _u3536), _u3541), hAPP(c_Set_Oimage(_u3537, _u3538, _u3539), _u3540)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3537, _u3536), hAPP(c_Fun_Ocomp(_u3538, _u3536, _u3537, _u3541), _u3539)), _u3540)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_dom__minus ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_dom__minus-1, axiom, ( ( hAPP(_u3542, _u3543) != c_Option_Ooption_ONone(_u3544)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3545, tc_HOL_Obool)), c_Map_Odom(_u3545, _u3544, _u3542)), hAPP(hAPP(c_Set_Oinsert(_u3545), _u3543), _u3546)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3545, tc_HOL_Obool)), c_Map_Odom(_u3545, _u3544, _u3542)), _u3546)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_setsum__diff1 ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_setsum__diff1-1, axiom, ( ~class_Groups_Oab__group__add(_u3547) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3548), _u3549)) | ~hBOOL(hAPP(hAPP(c_member(_u3548), _u3550), _u3549)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3548, _u3547), _u3551), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3548, tc_HOL_Obool)), _u3549), hAPP(hAPP(c_Set_Oinsert(_u3548), _u3550), c_Orderings_Obot__class_Obot(tc_fun(_u3548, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3547), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3548, _u3547), _u3551), _u3549)), hAPP(_u3551, _u3550))) )).
% 39.89/40.05 cnf(fact_setsum__diff1-2, axiom, ( ~class_Groups_Oab__group__add(_u3547) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3548), _u3549)) | hBOOL(hAPP(hAPP(c_member(_u3548), _u3550), _u3549)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3548, _u3547), _u3551), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3548, tc_HOL_Obool)), _u3549), hAPP(hAPP(c_Set_Oinsert(_u3548), _u3550), c_Orderings_Obot__class_Obot(tc_fun(_u3548, tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3548, _u3547), _u3551), _u3549)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_setsum__diff1__ring ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_setsum__diff1__ring-1, axiom, ( ~class_Rings_Oring(_u3552) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3553), _u3554)) | ~hBOOL(hAPP(hAPP(c_member(_u3553), _u3555), _u3554)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3553, _u3552), _u3556), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3553, tc_HOL_Obool)), _u3554), hAPP(hAPP(c_Set_Oinsert(_u3553), _u3555), c_Orderings_Obot__class_Obot(tc_fun(_u3553, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3552), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3553, _u3552), _u3556), _u3554)), hAPP(_u3556, _u3555))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_singleton__quotient ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_singleton__quotient-1, axiom, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u3557), hAPP(hAPP(c_Set_Oinsert(_u3557), _u3558), c_Orderings_Obot__class_Obot(tc_fun(_u3557, tc_HOL_Obool)))), _u3559) = hAPP(hAPP(c_Set_Oinsert(tc_fun(_u3557, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u3557, _u3557, _u3559), hAPP(hAPP(c_Set_Oinsert(_u3557), _u3558), c_Orderings_Obot__class_Obot(tc_fun(_u3557, tc_HOL_Obool))))), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u3557, tc_HOL_Obool), tc_HOL_Obool)))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_quotientI ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_quotientI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u3560), _u3561), _u3562)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u3560, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u3560, _u3560, _u3563), hAPP(hAPP(c_Set_Oinsert(_u3560), _u3561), c_Orderings_Obot__class_Obot(tc_fun(_u3560, tc_HOL_Obool))))), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u3560), _u3562), _u3563))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_dom__eq__singleton__conv ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_dom__eq__singleton__conv-1, axiom, ( ( c_Map_Odom(_u3570, _u3572, _u3574) != hAPP(hAPP(c_Set_Oinsert(_u3570), _u3576), c_Orderings_Obot__class_Obot(tc_fun(_u3570, tc_HOL_Obool)))) | ( _u3574 = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3570, tc_Option_Ooption(_u3572)), hAPP(c_COMBK(tc_Option_Ooption(_u3572), _u3570), c_Option_Ooption_ONone(_u3572))), _u3576), hAPP(c_Option_Ooption_OSome(_u3572), skolem67(_u3576, _u3574, _u3572, _u3570)))) )).
% 39.89/40.05 cnf(fact_dom__eq__singleton__conv-2, axiom, ( ( _u3575 != hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3571, tc_Option_Ooption(_u3573)), hAPP(c_COMBK(tc_Option_Ooption(_u3573), _u3571), c_Option_Ooption_ONone(_u3573))), _u3577), hAPP(c_Option_Ooption_OSome(_u3573), _u3565))) | ( c_Map_Odom(_u3571, _u3573, _u3575) = hAPP(hAPP(c_Set_Oinsert(_u3571), _u3577), c_Orderings_Obot__class_Obot(tc_fun(_u3571, tc_HOL_Obool)))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_restrict__complement__singleton__eq ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_restrict__complement__singleton__eq-1, axiom, ( ( c_Map_Orestrict__map(_u3578, _u3579, _u3580, hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3578, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u3578), _u3581), c_Orderings_Obot__class_Obot(tc_fun(_u3578, tc_HOL_Obool))))) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3578, tc_Option_Ooption(_u3579)), _u3580), _u3581), c_Option_Ooption_ONone(_u3579))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_ran__empty ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_ran__empty-1, axiom, ( ( c_Map_Oran(_u3582, _u3583, hAPP(c_COMBK(tc_Option_Ooption(_u3583), _u3582), c_Option_Ooption_ONone(_u3583))) = c_Orderings_Obot__class_Obot(tc_fun(_u3583, tc_HOL_Obool))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_quotient__disj ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_quotient__disj-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u3584, _u3585, _u3586) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u3584, tc_HOL_Obool)), _u3587), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u3584), _u3585), _u3586))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u3584, tc_HOL_Obool)), _u3588), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u3584), _u3585), _u3586))) | ( _u3587 = _u3588) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3584, tc_HOL_Obool)), _u3587), _u3588) = c_Orderings_Obot__class_Obot(tc_fun(_u3584, tc_HOL_Obool))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_setsum__reindex__cong ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_setsum__reindex__cong-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u3590) | ~c_Fun_Oinj__on(_u3591, _u3592, _u3593, _u3594) | ( _u3595 != hAPP(c_Set_Oimage(_u3591, _u3592, _u3593), _u3594)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3592, _u3590), _u3597), _u3595) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3591, _u3590), _u3596), _u3594)) | hBOOL(hAPP(hAPP(c_member(_u3591), skolem68(_u3597, _u3596, _u3595, _u3594, _u3593, _u3592, _u3591, _u3590)), _u3594)) )).
% 39.89/40.05 cnf(fact_setsum__reindex__cong-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u3590) | ~c_Fun_Oinj__on(_u3591, _u3592, _u3593, _u3594) | ( _u3595 != hAPP(c_Set_Oimage(_u3591, _u3592, _u3593), _u3594)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3592, _u3590), _u3597), _u3595) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3591, _u3590), _u3596), _u3594)) | ( hAPP(_u3596, skolem68(_u3597, _u3596, _u3595, _u3594, _u3593, _u3592, _u3591, _u3590)) != hAPP(_u3597, hAPP(_u3593, skolem68(_u3597, _u3596, _u3595, _u3594, _u3593, _u3592, _u3591, _u3590)))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_finite__Collect__less__nat ( axiom ) converted to clauses:
% 39.89/40.05 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)), _u3598)))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_finite__Collect__le__nat ( axiom ) converted to clauses:
% 39.89/40.05 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)), _u3599)))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_finite_OemptyI ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_finite_OemptyI-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u3600), c_Orderings_Obot__class_Obot(tc_fun(_u3600, tc_HOL_Obool)))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_finite_OinsertI ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_finite_OinsertI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3601), _u3602)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3601), hAPP(hAPP(c_Set_Oinsert(_u3601), _u3603), _u3602))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_finite__imageI ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_finite__imageI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3604), _u3605)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3606), hAPP(c_Set_Oimage(_u3604, _u3606, _u3607), _u3605))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_finite__Int ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_finite__Int-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u3608), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3608, tc_HOL_Obool)), _u3609), _u3610))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3608), _u3609)) )).
% 39.89/40.05 cnf(fact_finite__Int-2, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u3608), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3608, tc_HOL_Obool)), _u3609), _u3610))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3608), _u3610)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_finite__Diff ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_finite__Diff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3611), _u3612)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3611), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3611, tc_HOL_Obool)), _u3612), _u3613))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_inj__uminus ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_inj__uminus-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u3614) | c_Fun_Oinj__on(_u3614, _u3614, c_Groups_Ouminus__class_Ouminus(_u3614), _u3615) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_ComplI ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_ComplI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u3616), _u3617), _u3618)) | hBOOL(hAPP(hAPP(c_member(_u3616), _u3617), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3616, tc_HOL_Obool)), _u3618))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_finite__Collect__conjI ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_finite__Collect__conjI-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u3619), hAPP(c_Set_OCollect(_u3619), hAPP(hAPP(c_COMBS(_u3619, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u3619), c_fconj), _u3620)), _u3621)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3619), hAPP(c_Set_OCollect(_u3619), _u3620))) )).
% 39.89/40.05 cnf(fact_finite__Collect__conjI-2, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u3619), hAPP(c_Set_OCollect(_u3619), hAPP(hAPP(c_COMBS(_u3619, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u3619), c_fconj), _u3620)), _u3621)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3619), hAPP(c_Set_OCollect(_u3619), _u3621))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_finite__Collect__subsets ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_finite__Collect__subsets-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3622), _u3623)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u3622, tc_HOL_Obool)), hAPP(c_Set_OCollect(tc_fun(_u3622, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_fun(_u3622, tc_HOL_Obool), tc_fun(_u3622, tc_HOL_Obool), tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(tc_fun(_u3622, tc_HOL_Obool))), _u3623)))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_finite ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_finite-1, axiom, ( ~class_Finite__Set_Ofinite(_u3624) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3624), _u3625)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_finite__code ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_finite__code-1, axiom, ( ~class_Finite__Set_Ofinite(_u3626) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3626), _u3627)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_minus__minus ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_minus__minus-1, axiom, ( ~class_Groups_Ogroup__add(_u3628) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u3628), hAPP(c_Groups_Ouminus__class_Ouminus(_u3628), _u3629)) = _u3629) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_equation__minus__iff ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_equation__minus__iff-1, axiom, ( ~class_Groups_Ogroup__add(_u3630) | ( _u3631 != hAPP(c_Groups_Ouminus__class_Ouminus(_u3630), _u3632)) | ( _u3632 = hAPP(c_Groups_Ouminus__class_Ouminus(_u3630), _u3631)) )).
% 39.89/40.05 cnf(fact_equation__minus__iff-2, axiom, ( ~class_Groups_Ogroup__add(_u3630) | ( _u3632 != hAPP(c_Groups_Ouminus__class_Ouminus(_u3630), _u3631)) | ( _u3631 = hAPP(c_Groups_Ouminus__class_Ouminus(_u3630), _u3632)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_minus__equation__iff ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_minus__equation__iff-1, axiom, ( ~class_Groups_Ogroup__add(_u3633) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u3633), _u3634) != _u3635) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u3633), _u3635) = _u3634) )).
% 39.89/40.05 cnf(fact_minus__equation__iff-2, axiom, ( ~class_Groups_Ogroup__add(_u3633) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u3633), _u3635) != _u3634) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u3633), _u3634) = _u3635) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_neg__equal__iff__equal ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_neg__equal__iff__equal-1, axiom, ( ~class_Groups_Ogroup__add(_u3636) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u3636), _u3637) != hAPP(c_Groups_Ouminus__class_Ouminus(_u3636), _u3638)) | ( _u3637 = _u3638) )).
% 39.89/40.05 cnf(fact_neg__equal__iff__equal-2, axiom, ( ~class_Groups_Ogroup__add(_u3636) | ( _u3637 != _u3638) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u3636), _u3637) = hAPP(c_Groups_Ouminus__class_Ouminus(_u3636), _u3638)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_fun__Compl__def ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_fun__Compl__def-1, axiom, ( ~class_Groups_Ouminus(_u3639) | ( hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3640, _u3639)), _u3641), _u3642) = hAPP(c_Groups_Ouminus__class_Ouminus(_u3639), hAPP(_u3641, _u3642))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_double__compl ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_double__compl-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u3643) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u3643), hAPP(c_Groups_Ouminus__class_Ouminus(_u3643), _u3644)) = _u3644) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_uminus__apply ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_uminus__apply-1, axiom, ( ~class_Groups_Ouminus(_u3645) | ( hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3646, _u3645)), _u3647), _u3648) = hAPP(c_Groups_Ouminus__class_Ouminus(_u3645), hAPP(_u3647, _u3648))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_compl__eq__compl__iff ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_compl__eq__compl__iff-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u3649) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u3649), _u3650) != hAPP(c_Groups_Ouminus__class_Ouminus(_u3649), _u3651)) | ( _u3650 = _u3651) )).
% 39.89/40.05 cnf(fact_compl__eq__compl__iff-2, axiom, ( ~class_Lattices_Oboolean__algebra(_u3649) | ( _u3650 != _u3651) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u3649), _u3650) = hAPP(c_Groups_Ouminus__class_Ouminus(_u3649), _u3651)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_double__complement ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_double__complement-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3652, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3652, tc_HOL_Obool)), _u3653)) = _u3653) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_Compl__eq__Compl__iff ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_Compl__eq__Compl__iff-1, axiom, ( ( _u3659 = _u3661) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3657, tc_HOL_Obool)), _u3659) != hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3657, tc_HOL_Obool)), _u3661)) )).
% 39.89/40.05 cnf(fact_Compl__eq__Compl__iff-2, axiom, ( ( _u3660 != _u3662) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3658, tc_HOL_Obool)), _u3660) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3658, tc_HOL_Obool)), _u3662)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_finite__Pow__iff ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_finite__Pow__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u3665, tc_HOL_Obool)), hAPP(c_Set_OPow(_u3665), _u3667))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3665), _u3667)) )).
% 39.89/40.05 cnf(fact_finite__Pow__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3666), _u3668)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u3666, tc_HOL_Obool)), hAPP(c_Set_OPow(_u3666), _u3668))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_ranI ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_ranI-1, axiom, ( ( hAPP(_u3669, _u3670) != hAPP(c_Option_Ooption_OSome(_u3671), _u3672)) | hBOOL(hAPP(hAPP(c_member(_u3671), _u3672), c_Map_Oran(_u3673, _u3671, _u3669))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_compl__le__compl__iff ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_compl__le__compl__iff-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u3674) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3674), hAPP(c_Groups_Ouminus__class_Ouminus(_u3674), _u3675)), hAPP(c_Groups_Ouminus__class_Ouminus(_u3674), _u3676))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3674), _u3676), _u3675)) )).
% 39.89/40.05 cnf(fact_compl__le__compl__iff-2, axiom, ( ~class_Lattices_Oboolean__algebra(_u3674) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3674), _u3676), _u3675)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3674), hAPP(c_Groups_Ouminus__class_Ouminus(_u3674), _u3675)), hAPP(c_Groups_Ouminus__class_Ouminus(_u3674), _u3676))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_compl__mono ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_compl__mono-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u3677) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3677), _u3678), _u3679)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3677), hAPP(c_Groups_Ouminus__class_Ouminus(_u3677), _u3679)), hAPP(c_Groups_Ouminus__class_Ouminus(_u3677), _u3678))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_le__minus__iff ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_le__minus__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u3680) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3680), _u3681), hAPP(c_Groups_Ouminus__class_Ouminus(_u3680), _u3682))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3680), _u3682), hAPP(c_Groups_Ouminus__class_Ouminus(_u3680), _u3681))) )).
% 39.89/40.05 cnf(fact_le__minus__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u3680) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3680), _u3682), hAPP(c_Groups_Ouminus__class_Ouminus(_u3680), _u3681))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3680), _u3681), hAPP(c_Groups_Ouminus__class_Ouminus(_u3680), _u3682))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_minus__le__iff ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_minus__le__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u3683) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3683), hAPP(c_Groups_Ouminus__class_Ouminus(_u3683), _u3684)), _u3685)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3683), hAPP(c_Groups_Ouminus__class_Ouminus(_u3683), _u3685)), _u3684)) )).
% 39.89/40.05 cnf(fact_minus__le__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u3683) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3683), hAPP(c_Groups_Ouminus__class_Ouminus(_u3683), _u3685)), _u3684)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3683), hAPP(c_Groups_Ouminus__class_Ouminus(_u3683), _u3684)), _u3685)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_neg__le__iff__le ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_neg__le__iff__le-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u3686) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3686), hAPP(c_Groups_Ouminus__class_Ouminus(_u3686), _u3687)), hAPP(c_Groups_Ouminus__class_Ouminus(_u3686), _u3688))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3686), _u3688), _u3687)) )).
% 39.89/40.05 cnf(fact_neg__le__iff__le-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u3686) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3686), _u3688), _u3687)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3686), hAPP(c_Groups_Ouminus__class_Ouminus(_u3686), _u3687)), hAPP(c_Groups_Ouminus__class_Ouminus(_u3686), _u3688))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_le__imp__neg__le ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_le__imp__neg__le-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u3689) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3689), _u3690), _u3691)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3689), hAPP(c_Groups_Ouminus__class_Ouminus(_u3689), _u3691)), hAPP(c_Groups_Ouminus__class_Ouminus(_u3689), _u3690))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_neg__less__iff__less ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_neg__less__iff__less-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u3692) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3692), hAPP(c_Groups_Ouminus__class_Ouminus(_u3692), _u3693)), hAPP(c_Groups_Ouminus__class_Ouminus(_u3692), _u3694))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3692), _u3694), _u3693)) )).
% 39.89/40.05 cnf(fact_neg__less__iff__less-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u3692) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3692), _u3694), _u3693)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3692), hAPP(c_Groups_Ouminus__class_Ouminus(_u3692), _u3693)), hAPP(c_Groups_Ouminus__class_Ouminus(_u3692), _u3694))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_minus__less__iff ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_minus__less__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u3695) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3695), hAPP(c_Groups_Ouminus__class_Ouminus(_u3695), _u3696)), _u3697)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3695), hAPP(c_Groups_Ouminus__class_Ouminus(_u3695), _u3697)), _u3696)) )).
% 39.89/40.05 cnf(fact_minus__less__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u3695) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3695), hAPP(c_Groups_Ouminus__class_Ouminus(_u3695), _u3697)), _u3696)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3695), hAPP(c_Groups_Ouminus__class_Ouminus(_u3695), _u3696)), _u3697)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_less__minus__iff ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_less__minus__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u3698) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3698), _u3699), hAPP(c_Groups_Ouminus__class_Ouminus(_u3698), _u3700))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3698), _u3700), hAPP(c_Groups_Ouminus__class_Ouminus(_u3698), _u3699))) )).
% 39.89/40.05 cnf(fact_less__minus__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u3698) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3698), _u3700), hAPP(c_Groups_Ouminus__class_Ouminus(_u3698), _u3699))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3698), _u3699), hAPP(c_Groups_Ouminus__class_Ouminus(_u3698), _u3700))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_Compl__iff ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_Compl__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u3704), _u3706), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3704, tc_HOL_Obool)), _u3708))) | ~hBOOL(hAPP(hAPP(c_member(_u3704), _u3706), _u3708)) )).
% 39.89/40.05 cnf(fact_Compl__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u3705), _u3707), _u3709)) | hBOOL(hAPP(hAPP(c_member(_u3705), _u3707), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3705, tc_HOL_Obool)), _u3709))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_ComplD ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_ComplD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u3710), _u3711), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3710, tc_HOL_Obool)), _u3712))) | ~hBOOL(hAPP(hAPP(c_member(_u3710), _u3711), _u3712)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_ComplE ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_ComplE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u3713), _u3714), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3713, tc_HOL_Obool)), _u3715))) | ~hBOOL(hAPP(hAPP(c_member(_u3713), _u3714), _u3715)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_minus__diff__eq ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_minus__diff__eq-1, axiom, ( ~class_Groups_Oab__group__add(_u3716) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u3716), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3716), _u3717), _u3718)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3716), _u3718), _u3717)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_Compl__subset__Compl__iff ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_Compl__subset__Compl__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3722, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3722, tc_HOL_Obool)), _u3724)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3722, tc_HOL_Obool)), _u3726))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3722, tc_HOL_Obool)), _u3726), _u3724)) )).
% 39.89/40.05 cnf(fact_Compl__subset__Compl__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3723, tc_HOL_Obool)), _u3727), _u3725)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3723, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3723, tc_HOL_Obool)), _u3725)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3723, tc_HOL_Obool)), _u3727))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_Compl__anti__mono ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_Compl__anti__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3728, tc_HOL_Obool)), _u3729), _u3730)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3728, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3728, tc_HOL_Obool)), _u3730)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3728, tc_HOL_Obool)), _u3729))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_map__upd__eqD1 ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_map__upd__eqD1-1, axiom, ( ( _u3735 = _u3737) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3731, tc_Option_Ooption(_u3732)), _u3733), _u3734), hAPP(c_Option_Ooption_OSome(_u3732), _u3735)) != hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3731, tc_Option_Ooption(_u3732)), _u3736), _u3734), hAPP(c_Option_Ooption_OSome(_u3732), _u3737))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_map__upd__triv ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_map__upd__triv-1, axiom, ( ( hAPP(_u3738, _u3739) != hAPP(c_Option_Ooption_OSome(_u3740), _u3741)) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3742, tc_Option_Ooption(_u3740)), _u3738), _u3739), hAPP(c_Option_Ooption_OSome(_u3740), _u3741)) = _u3738) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_map__upd__Some__unfold ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_map__upd__Some__unfold-1, axiom, ( ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3750, tc_Option_Ooption(_u3752)), _u3754), _u3756), hAPP(c_Option_Ooption_OSome(_u3752), _u3758)), _u3760) != hAPP(c_Option_Ooption_OSome(_u3752), _u3762)) | ( _u3760 = _u3756) | ( hAPP(_u3754, _u3760) = hAPP(c_Option_Ooption_OSome(_u3752), _u3762)) )).
% 39.89/40.05 cnf(fact_map__upd__Some__unfold-2, axiom, ( ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3750, tc_Option_Ooption(_u3752)), _u3754), _u3756), hAPP(c_Option_Ooption_OSome(_u3752), _u3758)), _u3760) != hAPP(c_Option_Ooption_OSome(_u3752), _u3762)) | ( _u3758 = _u3762) | ( _u3760 != _u3756) )).
% 39.89/40.05 cnf(fact_map__upd__Some__unfold-3, axiom, ( ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3750, tc_Option_Ooption(_u3752)), _u3754), _u3756), hAPP(c_Option_Ooption_OSome(_u3752), _u3758)), _u3760) != hAPP(c_Option_Ooption_OSome(_u3752), _u3762)) | ( _u3758 = _u3762) | ( hAPP(_u3754, _u3760) = hAPP(c_Option_Ooption_OSome(_u3752), _u3762)) )).
% 39.89/40.05 cnf(fact_map__upd__Some__unfold-4, axiom, ( ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3751, tc_Option_Ooption(_u3753)), _u3755), _u3757), hAPP(c_Option_Ooption_OSome(_u3753), _u3759)), _u3761) = hAPP(c_Option_Ooption_OSome(_u3753), _u3763)) | ( _u3761 != _u3757) | ( _u3759 != _u3763) )).
% 39.89/40.05 cnf(fact_map__upd__Some__unfold-5, axiom, ( ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3751, tc_Option_Ooption(_u3753)), _u3755), _u3757), hAPP(c_Option_Ooption_OSome(_u3753), _u3759)), _u3761) = hAPP(c_Option_Ooption_OSome(_u3753), _u3763)) | ( _u3761 = _u3757) | ( hAPP(_u3755, _u3761) != hAPP(c_Option_Ooption_OSome(_u3753), _u3763)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_map__add__find__right ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_map__add__find__right-1, axiom, ( ( hAPP(_u3764, _u3765) != hAPP(c_Option_Ooption_OSome(_u3766), _u3767)) | ( hAPP(c_Map_Omap__add(_u3768, _u3766, _u3769, _u3764), _u3765) = hAPP(c_Option_Ooption_OSome(_u3766), _u3767)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_finite_Oequations_I1_J ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_finite_Oequations_I1_J-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u3770), c_Orderings_Obot__class_Obot(tc_fun(_u3770, tc_HOL_Obool)))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_finite__insert ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_finite__insert-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3774), hAPP(hAPP(c_Set_Oinsert(_u3774), _u3776), _u3778))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3774), _u3778)) )).
% 39.89/40.05 cnf(fact_finite__insert-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3775), _u3779)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3775), hAPP(hAPP(c_Set_Oinsert(_u3775), _u3777), _u3779))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_rev__finite__subset ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_rev__finite__subset-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3780), _u3781)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3780, tc_HOL_Obool)), _u3782), _u3781)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3780), _u3782)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_finite__subset ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_finite__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3783, tc_HOL_Obool)), _u3784), _u3785)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3783), _u3785)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3783), _u3784)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_finite__UnI ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_finite__UnI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3786), _u3787)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3786), _u3788)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3786), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3786, tc_HOL_Obool)), _u3787), _u3788))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_finite__Un ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_finite__Un-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3792), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3792, tc_HOL_Obool)), _u3794), _u3796))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3792), _u3794)) )).
% 39.89/40.05 cnf(fact_finite__Un-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3792), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3792, tc_HOL_Obool)), _u3794), _u3796))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3792), _u3796)) )).
% 39.89/40.05 cnf(fact_finite__Un-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3793), _u3795)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3793), _u3797)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3793), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3793, tc_HOL_Obool)), _u3795), _u3797))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_finite__Diff2 ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_finite__Diff2-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3798), _u3799)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3798), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3798, tc_HOL_Obool)), _u3800), _u3799))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3798), _u3800)) )).
% 39.89/40.05 cnf(fact_finite__Diff2-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3798), _u3799)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3798), _u3800)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3798), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3798, tc_HOL_Obool)), _u3800), _u3799))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_setsum__negf ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_setsum__negf-1, axiom, ( ~class_Groups_Oab__group__add(_u3801) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3802, _u3801), hAPP(hAPP(c_COMBB(_u3801, _u3801, _u3802), c_Groups_Ouminus__class_Ouminus(_u3801)), _u3803)), _u3804) = hAPP(c_Groups_Ouminus__class_Ouminus(_u3801), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3802, _u3801), _u3803), _u3804))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_Collect__neg__eq ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_Collect__neg__eq-1, axiom, ( ( hAPP(c_Set_OCollect(_u3805), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u3805), c_fNot), _u3806)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3805, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u3805), _u3806))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_equiv__class__self ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_equiv__class__self-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u3807, _u3808, _u3809) | ~hBOOL(hAPP(hAPP(c_member(_u3807), _u3810), _u3808)) | hBOOL(hAPP(hAPP(c_member(_u3807), _u3810), hAPP(c_Relation_OImage(_u3807, _u3807, _u3809), hAPP(hAPP(c_Set_Oinsert(_u3807), _u3810), c_Orderings_Obot__class_Obot(tc_fun(_u3807, tc_HOL_Obool)))))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_nat__seg__image__imp__finite ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_nat__seg__image__imp__finite-1, axiom, ( ( _u3811 != hAPP(c_Set_Oimage(tc_Nat_Onat, _u3812, _u3813), 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)), _u3814)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3812), _u3811)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_finite__Collect__disjI ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_finite__Collect__disjI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3818), hAPP(c_Set_OCollect(_u3818), hAPP(hAPP(c_COMBS(_u3818, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u3818), c_fdisj), _u3820)), _u3822)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3818), hAPP(c_Set_OCollect(_u3818), _u3820))) )).
% 39.89/40.05 cnf(fact_finite__Collect__disjI-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3818), hAPP(c_Set_OCollect(_u3818), hAPP(hAPP(c_COMBS(_u3818, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u3818), c_fdisj), _u3820)), _u3822)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3818), hAPP(c_Set_OCollect(_u3818), _u3822))) )).
% 39.89/40.05 cnf(fact_finite__Collect__disjI-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3819), hAPP(c_Set_OCollect(_u3819), _u3821))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3819), hAPP(c_Set_OCollect(_u3819), _u3823))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3819), hAPP(c_Set_OCollect(_u3819), hAPP(hAPP(c_COMBS(_u3819, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u3819), c_fdisj), _u3821)), _u3823)))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_restrict__upd__same ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_restrict__upd__same-1, axiom, ( ( c_Map_Orestrict__map(_u3824, _u3825, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3824, tc_Option_Ooption(_u3825)), _u3826), _u3827), hAPP(c_Option_Ooption_OSome(_u3825), _u3828)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3824, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u3824), _u3827), c_Orderings_Obot__class_Obot(tc_fun(_u3824, tc_HOL_Obool))))) = c_Map_Orestrict__map(_u3824, _u3825, _u3826, hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3824, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u3824), _u3827), c_Orderings_Obot__class_Obot(tc_fun(_u3824, tc_HOL_Obool)))))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_ran__map__upd ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_ran__map__upd-1, axiom, ( ( hAPP(_u3829, _u3830) != c_Option_Ooption_ONone(_u3831)) | ( c_Map_Oran(_u3832, _u3831, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3832, tc_Option_Ooption(_u3831)), _u3829), _u3830), hAPP(c_Option_Ooption_OSome(_u3831), _u3833))) = hAPP(hAPP(c_Set_Oinsert(_u3831), _u3833), c_Map_Oran(_u3832, _u3831, _u3829))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_inf__compl__bot ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_inf__compl__bot-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u3834) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u3834), _u3835), hAPP(c_Groups_Ouminus__class_Ouminus(_u3834), _u3835)) = c_Orderings_Obot__class_Obot(_u3834)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_compl__inf__bot ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_compl__inf__bot-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u3836) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u3836), hAPP(c_Groups_Ouminus__class_Ouminus(_u3836), _u3837)), _u3837) = c_Orderings_Obot__class_Obot(_u3836)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_diff__eq ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_diff__eq-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u3838) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3838), _u3839), _u3840) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u3838), _u3839), hAPP(c_Groups_Ouminus__class_Ouminus(_u3838), _u3840))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_compl__sup ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_compl__sup-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u3841) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u3841), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u3841), _u3842), _u3843)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u3841), hAPP(c_Groups_Ouminus__class_Ouminus(_u3841), _u3842)), hAPP(c_Groups_Ouminus__class_Ouminus(_u3841), _u3843))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_compl__inf ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_compl__inf-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u3844) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u3844), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u3844), _u3845), _u3846)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u3844), hAPP(c_Groups_Ouminus__class_Ouminus(_u3844), _u3845)), hAPP(c_Groups_Ouminus__class_Ouminus(_u3844), _u3846))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_domI ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_domI-1, axiom, ( ( hAPP(_u3847, _u3848) != hAPP(c_Option_Ooption_OSome(_u3849), _u3850)) | hBOOL(hAPP(hAPP(c_member(_u3851), _u3848), c_Map_Odom(_u3851, _u3849, _u3847))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_image__map__upd ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_image__map__upd-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u3852), _u3853), _u3854)) | ( hAPP(c_Set_Oimage(_u3852, tc_Option_Ooption(_u3855), hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3852, tc_Option_Ooption(_u3855)), _u3856), _u3853), hAPP(c_Option_Ooption_OSome(_u3855), _u3857))), _u3854) = hAPP(c_Set_Oimage(_u3852, tc_Option_Ooption(_u3855), _u3856), _u3854)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_subset__Compl__self__eq ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_subset__Compl__self__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3860, tc_HOL_Obool)), _u3862), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3860, tc_HOL_Obool)), _u3862))) | ( _u3862 = c_Orderings_Obot__class_Obot(tc_fun(_u3860, tc_HOL_Obool))) )).
% 39.89/40.05 cnf(fact_subset__Compl__self__eq-2, axiom, ( ( _u3863 != c_Orderings_Obot__class_Obot(tc_fun(_u3861, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3861, tc_HOL_Obool)), _u3863), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3861, tc_HOL_Obool)), _u3863))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_Compl__disjoint ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_Compl__disjoint-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3864, tc_HOL_Obool)), _u3865), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3864, tc_HOL_Obool)), _u3865)) = c_Orderings_Obot__class_Obot(tc_fun(_u3864, tc_HOL_Obool))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_Compl__disjoint2 ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_Compl__disjoint2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3866, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3866, tc_HOL_Obool)), _u3867)), _u3867) = c_Orderings_Obot__class_Obot(tc_fun(_u3866, tc_HOL_Obool))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_insert__dom ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_insert__dom-1, axiom, ( ( hAPP(_u3868, _u3869) != hAPP(c_Option_Ooption_OSome(_u3870), _u3871)) | ( hAPP(hAPP(c_Set_Oinsert(_u3872), _u3869), c_Map_Odom(_u3872, _u3870, _u3868)) = c_Map_Odom(_u3872, _u3870, _u3868)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_Compl__Int ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_Compl__Int-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3873, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3873, tc_HOL_Obool)), _u3874), _u3875)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3873, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3873, tc_HOL_Obool)), _u3874)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3873, tc_HOL_Obool)), _u3875))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_Compl__Un ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_Compl__Un-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3876, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3876, tc_HOL_Obool)), _u3877), _u3878)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3876, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3876, tc_HOL_Obool)), _u3877)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3876, tc_HOL_Obool)), _u3878))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_Compl__Diff__eq ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_Compl__Diff__eq-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3879, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3879, tc_HOL_Obool)), _u3880), _u3881)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3879, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3879, tc_HOL_Obool)), _u3880)), _u3881)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_Diff__eq ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_Diff__eq-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3882, tc_HOL_Obool)), _u3883), _u3884) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3882, tc_HOL_Obool)), _u3883), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3882, tc_HOL_Obool)), _u3884))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_Diff__Compl ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_Diff__Compl-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3885, tc_HOL_Obool)), _u3886), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3885, tc_HOL_Obool)), _u3887)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3885, tc_HOL_Obool)), _u3886), _u3887)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_map__add__Some__iff ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_map__add__Some__iff-1, axiom, ( ( hAPP(c_Map_Omap__add(_u3894, _u3896, _u3898, _u3900), _u3902) != hAPP(c_Option_Ooption_OSome(_u3896), _u3904)) | ( hAPP(_u3900, _u3902) = hAPP(c_Option_Ooption_OSome(_u3896), _u3904)) | ( hAPP(_u3900, _u3902) = c_Option_Ooption_ONone(_u3896)) )).
% 39.89/40.05 cnf(fact_map__add__Some__iff-2, axiom, ( ( hAPP(c_Map_Omap__add(_u3894, _u3896, _u3898, _u3900), _u3902) != hAPP(c_Option_Ooption_OSome(_u3896), _u3904)) | ( hAPP(_u3900, _u3902) = hAPP(c_Option_Ooption_OSome(_u3896), _u3904)) | ( hAPP(_u3898, _u3902) = hAPP(c_Option_Ooption_OSome(_u3896), _u3904)) )).
% 39.89/40.05 cnf(fact_map__add__Some__iff-3, axiom, ( ( hAPP(c_Map_Omap__add(_u3895, _u3897, _u3899, _u3901), _u3903) = hAPP(c_Option_Ooption_OSome(_u3897), _u3905)) | ( hAPP(_u3901, _u3903) != hAPP(c_Option_Ooption_OSome(_u3897), _u3905)) )).
% 39.89/40.05 cnf(fact_map__add__Some__iff-4, axiom, ( ( hAPP(c_Map_Omap__add(_u3895, _u3897, _u3899, _u3901), _u3903) = hAPP(c_Option_Ooption_OSome(_u3897), _u3905)) | ( hAPP(_u3901, _u3903) != c_Option_Ooption_ONone(_u3897)) | ( hAPP(_u3899, _u3903) != hAPP(c_Option_Ooption_OSome(_u3897), _u3905)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_map__add__SomeD ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_map__add__SomeD-1, axiom, ( ( hAPP(c_Map_Omap__add(_u3906, _u3907, _u3908, _u3909), _u3910) != hAPP(c_Option_Ooption_OSome(_u3907), _u3911)) | ( hAPP(_u3909, _u3910) = hAPP(c_Option_Ooption_OSome(_u3907), _u3911)) | ( hAPP(_u3909, _u3910) = c_Option_Ooption_ONone(_u3907)) )).
% 39.89/40.05 cnf(fact_map__add__SomeD-2, axiom, ( ( hAPP(c_Map_Omap__add(_u3906, _u3907, _u3908, _u3909), _u3910) != hAPP(c_Option_Ooption_OSome(_u3907), _u3911)) | ( hAPP(_u3909, _u3910) = hAPP(c_Option_Ooption_OSome(_u3907), _u3911)) | ( hAPP(_u3908, _u3910) = hAPP(c_Option_Ooption_OSome(_u3907), _u3911)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_map__add__upd ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_map__add__upd-1, axiom, ( ( c_Map_Omap__add(_u3912, _u3913, _u3914, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3912, tc_Option_Ooption(_u3913)), _u3915), _u3916), hAPP(c_Option_Ooption_OSome(_u3913), _u3917))) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3912, tc_Option_Ooption(_u3913)), c_Map_Omap__add(_u3912, _u3913, _u3914, _u3915)), _u3916), hAPP(c_Option_Ooption_OSome(_u3913), _u3917))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_finite__surj ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_finite__surj-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3918), _u3919)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3920, tc_HOL_Obool)), _u3921), hAPP(c_Set_Oimage(_u3918, _u3920, _u3922), _u3919))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3920), _u3921)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_finite__Diff__insert ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_finite__Diff__insert-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3927), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3927, tc_HOL_Obool)), _u3929), hAPP(hAPP(c_Set_Oinsert(_u3927), _u3931), _u3933)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3927), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3927, tc_HOL_Obool)), _u3929), _u3933))) )).
% 39.89/40.05 cnf(fact_finite__Diff__insert-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3928), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3928, tc_HOL_Obool)), _u3930), _u3934))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3928), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3928, tc_HOL_Obool)), _u3930), hAPP(hAPP(c_Set_Oinsert(_u3928), _u3932), _u3934)))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_finite__imageD ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_finite__imageD-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3935), hAPP(c_Set_Oimage(_u3936, _u3935, _u3937), _u3938))) | ~c_Fun_Oinj__on(_u3936, _u3935, _u3937, _u3938) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3936), _u3938)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_Compl__eq ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_Compl__eq-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3939, tc_HOL_Obool)), _u3940) = hAPP(c_Set_OCollect(_u3939), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u3939), c_fNot), hAPP(hAPP(c_COMBC(_u3939, tc_fun(_u3939, tc_HOL_Obool), tc_HOL_Obool), c_member(_u3939)), _u3940)))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_Collect__imp__eq ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_Collect__imp__eq-1, axiom, ( ( hAPP(c_Set_OCollect(_u3941), hAPP(hAPP(c_COMBS(_u3941, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u3941), c_fimplies), _u3942)), _u3943)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3941, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3941, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u3941), _u3942))), hAPP(c_Set_OCollect(_u3941), _u3943))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_map__upd__nonempty ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_map__upd__nonempty-1, axiom, ( ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3944, tc_Option_Ooption(_u3945)), _u3946), _u3947), hAPP(c_Option_Ooption_OSome(_u3945), _u3948)) != hAPP(c_COMBK(tc_Option_Ooption(_u3945), _u3944), c_Option_Ooption_ONone(_u3945))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_enum__ex__option__def ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_enum__ex__option__def-1, axiom, ( ~class_Enum_Oenum(_u3949) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_Option_Ooption(_u3949)), _u3950)) | hBOOL(hAPP(_u3950, c_Option_Ooption_ONone(_u3949))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u3949), hAPP(hAPP(c_COMBB(tc_Option_Ooption(_u3949), tc_HOL_Obool, _u3949), _u3950), c_Option_Ooption_OSome(_u3949)))) )).
% 39.89/40.05 cnf(fact_enum__ex__option__def-2, axiom, ( ~class_Enum_Oenum(_u3949) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_Option_Ooption(_u3949)), _u3950)) | ~hBOOL(hAPP(_u3950, c_Option_Ooption_ONone(_u3949))) )).
% 39.89/40.05 cnf(fact_enum__ex__option__def-3, axiom, ( ~class_Enum_Oenum(_u3949) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_Option_Ooption(_u3949)), _u3950)) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u3949), hAPP(hAPP(c_COMBB(tc_Option_Ooption(_u3949), tc_HOL_Obool, _u3949), _u3950), c_Option_Ooption_OSome(_u3949)))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_enum__all__option__def ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_enum__all__option__def-1, axiom, ( ~class_Enum_Oenum(_u3951) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_Option_Ooption(_u3951)), _u3952)) | hBOOL(hAPP(_u3952, c_Option_Ooption_ONone(_u3951))) )).
% 39.89/40.05 cnf(fact_enum__all__option__def-2, axiom, ( ~class_Enum_Oenum(_u3951) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_Option_Ooption(_u3951)), _u3952)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u3951), hAPP(hAPP(c_COMBB(tc_Option_Ooption(_u3951), tc_HOL_Obool, _u3951), _u3952), c_Option_Ooption_OSome(_u3951)))) )).
% 39.89/40.05 cnf(fact_enum__all__option__def-3, axiom, ( ~class_Enum_Oenum(_u3951) | ~hBOOL(hAPP(_u3952, c_Option_Ooption_ONone(_u3951))) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u3951), hAPP(hAPP(c_COMBB(tc_Option_Ooption(_u3951), tc_HOL_Obool, _u3951), _u3952), c_Option_Ooption_OSome(_u3951)))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_Option_Ooption(_u3951)), _u3952)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_disjoint__eq__subset__Compl ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_disjoint__eq__subset__Compl-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3956, tc_HOL_Obool)), _u3958), _u3960) != c_Orderings_Obot__class_Obot(tc_fun(_u3956, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3956, tc_HOL_Obool)), _u3958), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3956, tc_HOL_Obool)), _u3960))) )).
% 39.89/40.05 cnf(fact_disjoint__eq__subset__Compl-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3957, tc_HOL_Obool)), _u3959), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3957, tc_HOL_Obool)), _u3961))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3957, tc_HOL_Obool)), _u3959), _u3961) = c_Orderings_Obot__class_Obot(tc_fun(_u3957, tc_HOL_Obool))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_endo__inj__surj ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_endo__inj__surj-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3962), _u3963)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3962, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u3962, _u3962, _u3964), _u3963)), _u3963)) | ~c_Fun_Oinj__on(_u3962, _u3962, _u3964, _u3963) | ( hAPP(c_Set_Oimage(_u3962, _u3962, _u3964), _u3963) = _u3963) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_finite__surj__inj ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_finite__surj__inj-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3965), _u3966)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3965, tc_HOL_Obool)), _u3966), hAPP(c_Set_Oimage(_u3965, _u3965, _u3967), _u3966))) | c_Fun_Oinj__on(_u3965, _u3965, _u3967, _u3966) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_map__add__upd__left ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_map__add__upd__left-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u3968), _u3969), c_Map_Odom(_u3968, _u3970, _u3971))) | ( c_Map_Omap__add(_u3968, _u3970, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3968, tc_Option_Ooption(_u3970)), _u3972), _u3969), hAPP(c_Option_Ooption_OSome(_u3970), _u3973)), _u3971) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3968, tc_Option_Ooption(_u3970)), c_Map_Omap__add(_u3968, _u3970, _u3972, _u3971)), _u3969), hAPP(c_Option_Ooption_OSome(_u3970), _u3973))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_setsum__diff ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_setsum__diff-1, axiom, ( ~class_Groups_Oab__group__add(_u3974) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3975), _u3976)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3975, tc_HOL_Obool)), _u3977), _u3976)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3975, _u3974), _u3978), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3975, tc_HOL_Obool)), _u3976), _u3977)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3974), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3975, _u3974), _u3978), _u3976)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3975, _u3974), _u3978), _u3977))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_setsum_Oreindex ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_setsum_Oreindex-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u3979) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3980), _u3981)) | ~c_Fun_Oinj__on(_u3980, _u3980, _u3982, _u3981) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3980, _u3979), _u3983), hAPP(c_Set_Oimage(_u3980, _u3980, _u3982), _u3981)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3980, _u3979), hAPP(c_Fun_Ocomp(_u3980, _u3979, _u3980, _u3983), _u3982)), _u3981)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_setsum__diff__nat ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_setsum__diff__nat-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3984), _u3985)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3984, tc_HOL_Obool)), _u3985), _u3986)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3984, tc_Nat_Onat), _u3987), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3984, tc_HOL_Obool)), _u3986), _u3985)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3984, tc_Nat_Onat), _u3987), _u3986)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3984, tc_Nat_Onat), _u3987), _u3985))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_setsum__image__gen ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_setsum__image__gen-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u3988) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3989), _u3990)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3989, _u3988), _u3991), _u3990) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3992, _u3988), hAPP(hAPP(c_COMBB(tc_fun(_u3989, tc_HOL_Obool), _u3988, _u3992), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3989, _u3988), _u3991)), hAPP(hAPP(c_COMBB(tc_fun(_u3989, tc_HOL_Obool), tc_fun(_u3989, tc_HOL_Obool), _u3992), c_Set_OCollect(_u3989)), hAPP(hAPP(c_COMBB(tc_fun(_u3989, tc_HOL_Obool), tc_fun(_u3989, tc_HOL_Obool), _u3992), hAPP(c_COMBS(_u3989, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u3989), c_fconj), hAPP(hAPP(c_COMBC(_u3989, tc_fun(_u3989, tc_HOL_Obool), tc_HOL_Obool), c_member(_u3989)), _u3990)))), hAPP(c_COMBC(_u3989, _u3992, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u3992, tc_fun(_u3992, tc_HOL_Obool), _u3989), c_fequal), _u3993)))))), hAPP(c_Set_Oimage(_u3989, _u3992, _u3993), _u3990))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_setsum__setsum__restrict ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_setsum__setsum__restrict-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u3994) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3995), _u3996)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3997), _u3998)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3995, _u3994), hAPP(hAPP(c_COMBS(_u3995, tc_fun(_u3997, tc_HOL_Obool), _u3994), hAPP(hAPP(c_COMBB(tc_fun(_u3997, _u3994), tc_fun(tc_fun(_u3997, tc_HOL_Obool), _u3994), _u3995), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3997, _u3994)), _u3999)), hAPP(hAPP(c_COMBB(tc_fun(_u3997, tc_HOL_Obool), tc_fun(_u3997, tc_HOL_Obool), _u3995), c_Set_OCollect(_u3997)), hAPP(hAPP(c_COMBB(tc_fun(_u3997, tc_HOL_Obool), tc_fun(_u3997, tc_HOL_Obool), _u3995), hAPP(c_COMBS(_u3997, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u3997), c_fconj), hAPP(hAPP(c_COMBC(_u3997, tc_fun(_u3997, tc_HOL_Obool), tc_HOL_Obool), c_member(_u3997)), _u3998)))), _u4000)))), _u3996) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3997, _u3994), hAPP(hAPP(c_COMBS(_u3997, tc_fun(_u3995, tc_HOL_Obool), _u3994), hAPP(hAPP(c_COMBB(tc_fun(_u3995, _u3994), tc_fun(tc_fun(_u3995, tc_HOL_Obool), _u3994), _u3997), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3995, _u3994)), hAPP(c_COMBC(_u3995, _u3997, _u3994), _u3999))), hAPP(hAPP(c_COMBB(tc_fun(_u3995, tc_HOL_Obool), tc_fun(_u3995, tc_HOL_Obool), _u3997), c_Set_OCollect(_u3995)), hAPP(hAPP(c_COMBB(tc_fun(_u3995, tc_HOL_Obool), tc_fun(_u3995, tc_HOL_Obool), _u3997), hAPP(c_COMBS(_u3995, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u3995), c_fconj), hAPP(hAPP(c_COMBC(_u3995, tc_fun(_u3995, tc_HOL_Obool), tc_HOL_Obool), c_member(_u3995)), _u3996)))), hAPP(c_COMBC(_u3995, _u3997, tc_HOL_Obool), _u4000))))), _u3998)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_Image__Int__subset ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_Image__Int__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4001, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u4002, _u4001, _u4003), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4002, tc_HOL_Obool)), _u4004), _u4005))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4001, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u4002, _u4001, _u4003), _u4004)), hAPP(c_Relation_OImage(_u4002, _u4001, _u4003), _u4005)))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_inj__Some ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_inj__Some-1, axiom, ( c_Fun_Oinj__on(_u4006, tc_Option_Ooption(_u4006), c_Option_Ooption_OSome(_u4006), _u4007) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_folding_Oremove ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_folding_Oremove-1, axiom, ( ~c_Finite__Set_Ofolding(_u4008, _u4009, _u4010, _u4011) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4008), _u4012)) | ~hBOOL(hAPP(hAPP(c_member(_u4008), _u4013), _u4012)) | ( hAPP(_u4011, _u4012) = hAPP(c_Fun_Ocomp(_u4009, _u4009, _u4009, hAPP(_u4011, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4008, tc_HOL_Obool)), _u4012), hAPP(hAPP(c_Set_Oinsert(_u4008), _u4013), c_Orderings_Obot__class_Obot(tc_fun(_u4008, tc_HOL_Obool)))))), hAPP(_u4010, _u4013))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_folding__one_Oremove ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_folding__one_Oremove-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u4014, _u4015, _u4016) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4014), _u4017)) | ~hBOOL(hAPP(hAPP(c_member(_u4014), _u4018), _u4017)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4014, tc_HOL_Obool)), _u4017), hAPP(hAPP(c_Set_Oinsert(_u4014), _u4018), c_Orderings_Obot__class_Obot(tc_fun(_u4014, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u4014, tc_HOL_Obool))) | ( hAPP(_u4016, _u4017) = _u4018) )).
% 39.89/40.05 cnf(fact_folding__one_Oremove-2, axiom, ( ~c_Finite__Set_Ofolding__one(_u4014, _u4015, _u4016) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4014), _u4017)) | ~hBOOL(hAPP(hAPP(c_member(_u4014), _u4018), _u4017)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4014, tc_HOL_Obool)), _u4017), hAPP(hAPP(c_Set_Oinsert(_u4014), _u4018), c_Orderings_Obot__class_Obot(tc_fun(_u4014, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u4014, tc_HOL_Obool))) | ( hAPP(_u4016, _u4017) = hAPP(hAPP(_u4015, _u4018), hAPP(_u4016, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4014, tc_HOL_Obool)), _u4017), hAPP(hAPP(c_Set_Oinsert(_u4014), _u4018), c_Orderings_Obot__class_Obot(tc_fun(_u4014, tc_HOL_Obool))))))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_folding__image__simple_Oremove ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_folding__image__simple_Oremove-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4020), _u4025)) | ~hBOOL(hAPP(hAPP(c_member(_u4020), _u4026), _u4025)) | ( hAPP(_u4024, _u4025) = hAPP(hAPP(_u4021, hAPP(_u4023, _u4026)), hAPP(_u4024, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4020, tc_HOL_Obool)), _u4025), hAPP(hAPP(c_Set_Oinsert(_u4020), _u4026), c_Orderings_Obot__class_Obot(tc_fun(_u4020, tc_HOL_Obool))))))) | ~c_Finite__Set_Ofolding__image__simple(_u4019, _u4020, _u4021, _u4022, _u4023, _u4024) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_folding__image_Oreindex ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_folding__image_Oreindex-1, axiom, ( ~c_Finite__Set_Ofolding__image(_u4027, _u4028, _u4029, _u4030, _u4031) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4028), _u4032)) | ~c_Fun_Oinj__on(_u4028, _u4028, _u4033, _u4032) | ( hAPP(hAPP(_u4031, _u4034), hAPP(c_Set_Oimage(_u4028, _u4028, _u4033), _u4032)) = hAPP(hAPP(_u4031, hAPP(c_Fun_Ocomp(_u4028, _u4027, _u4028, _u4034), _u4033)), _u4032)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_quotientE ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_quotientE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u4036, tc_HOL_Obool)), _u4037), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u4036), _u4038), _u4039))) | ( _u4037 = hAPP(c_Relation_OImage(_u4036, _u4036, _u4039), hAPP(hAPP(c_Set_Oinsert(_u4036), skolem69(_u4039, _u4038, _u4037, _u4036)), c_Orderings_Obot__class_Obot(tc_fun(_u4036, tc_HOL_Obool))))) )).
% 39.89/40.05 cnf(fact_quotientE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u4036, tc_HOL_Obool)), _u4037), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u4036), _u4038), _u4039))) | hBOOL(hAPP(hAPP(c_member(_u4036), skolem69(_u4039, _u4038, _u4037, _u4036)), _u4038)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_folding_Ocommute__comps_I1_J ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_folding_Ocommute__comps_I1_J-1, axiom, ( ~c_Finite__Set_Ofolding(_u4040, _u4041, _u4042, _u4043) | ( hAPP(c_Fun_Ocomp(_u4044, _u4045, _u4046, _u4047), hAPP(c_Fun_Ocomp(_u4048, _u4044, _u4046, _u4049), _u4050)) = hAPP(c_Fun_Ocomp(_u4048, _u4045, _u4046, hAPP(c_Fun_Ocomp(_u4044, _u4045, _u4048, _u4047), _u4049)), _u4050)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_folding_Ocommute__comp ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_folding_Ocommute__comp-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u4052, _u4052, _u4052, hAPP(_u4053, _u4055)), hAPP(_u4053, _u4056)) = hAPP(c_Fun_Ocomp(_u4052, _u4052, _u4052, hAPP(_u4053, _u4056)), hAPP(_u4053, _u4055))) | ~c_Finite__Set_Ofolding(_u4051, _u4052, _u4053, _u4054) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_folding_Ocommute__left__comp ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_folding_Ocommute__left__comp-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u4058, _u4058, _u4061, hAPP(_u4059, _u4062)), hAPP(c_Fun_Ocomp(_u4058, _u4058, _u4061, hAPP(_u4059, _u4063)), _u4064)) = hAPP(c_Fun_Ocomp(_u4058, _u4058, _u4061, hAPP(_u4059, _u4063)), hAPP(c_Fun_Ocomp(_u4058, _u4058, _u4061, hAPP(_u4059, _u4062)), _u4064))) | ~c_Finite__Set_Ofolding(_u4057, _u4058, _u4059, _u4060) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_folding__image__simple_Oempty ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_folding__image__simple_Oempty-1, axiom, ( ( hAPP(_u4070, c_Orderings_Obot__class_Obot(tc_fun(_u4066, tc_HOL_Obool))) = _u4068) | ~c_Finite__Set_Ofolding__image__simple(_u4065, _u4066, _u4067, _u4068, _u4069, _u4070) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_folding__image_Odistrib ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_folding__image_Odistrib-1, axiom, ( ~c_Finite__Set_Ofolding__image(_u4071, _u4072, _u4073, _u4074, _u4075) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4072), _u4076)) | ( hAPP(hAPP(_u4075, hAPP(hAPP(c_COMBS(_u4072, _u4071, _u4071), hAPP(hAPP(c_COMBB(_u4071, tc_fun(_u4071, _u4071), _u4072), _u4073), _u4077)), _u4078)), _u4076) = hAPP(hAPP(_u4073, hAPP(hAPP(_u4075, _u4077), _u4076)), hAPP(hAPP(_u4075, _u4078), _u4076))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_folding_Ocommute__comp_H ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_folding_Ocommute__comp_H-1, axiom, ( ~c_Finite__Set_Ofolding(_u4079, _u4080, _u4081, _u4082) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4079), _u4083)) | ( hAPP(c_Fun_Ocomp(_u4080, _u4080, _u4080, hAPP(_u4081, _u4084)), hAPP(_u4082, _u4083)) = hAPP(c_Fun_Ocomp(_u4080, _u4080, _u4080, hAPP(_u4082, _u4083)), hAPP(_u4081, _u4084))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_folding_Ocommute__left__comp_H ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_folding_Ocommute__left__comp_H-1, axiom, ( ~c_Finite__Set_Ofolding(_u4085, _u4086, _u4087, _u4088) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4085), _u4089)) | ( hAPP(c_Fun_Ocomp(_u4086, _u4086, _u4090, hAPP(_u4087, _u4091)), hAPP(c_Fun_Ocomp(_u4086, _u4086, _u4090, hAPP(_u4088, _u4089)), _u4092)) = hAPP(c_Fun_Ocomp(_u4086, _u4086, _u4090, hAPP(_u4088, _u4089)), hAPP(c_Fun_Ocomp(_u4086, _u4086, _u4090, hAPP(_u4087, _u4091)), _u4092))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_folding_Ocommute__comp_H_H ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_folding_Ocommute__comp_H_H-1, axiom, ( ~c_Finite__Set_Ofolding(_u4093, _u4094, _u4095, _u4096) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4093), _u4097)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4093), _u4098)) | ( hAPP(c_Fun_Ocomp(_u4094, _u4094, _u4094, hAPP(_u4096, _u4098)), hAPP(_u4096, _u4097)) = hAPP(c_Fun_Ocomp(_u4094, _u4094, _u4094, hAPP(_u4096, _u4097)), hAPP(_u4096, _u4098))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_folding_Ocommute__left__comp_H_H ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_folding_Ocommute__left__comp_H_H-1, axiom, ( ~c_Finite__Set_Ofolding(_u4099, _u4100, _u4101, _u4102) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4099), _u4103)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4099), _u4104)) | ( hAPP(c_Fun_Ocomp(_u4100, _u4100, _u4105, hAPP(_u4102, _u4104)), hAPP(c_Fun_Ocomp(_u4100, _u4100, _u4105, hAPP(_u4102, _u4103)), _u4106)) = hAPP(c_Fun_Ocomp(_u4100, _u4100, _u4105, hAPP(_u4102, _u4103)), hAPP(c_Fun_Ocomp(_u4100, _u4100, _u4105, hAPP(_u4102, _u4104)), _u4106))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_finite__nat__set__iff__bounded ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_finite__nat__set__iff__bounded-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u4112)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u4107), _u4112)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4107), skolem70(_u4112))) )).
% 39.89/40.05 cnf(fact_finite__nat__set__iff__bounded-2, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u4113)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem71(_u4113, _u4110)), _u4113)) )).
% 39.89/40.05 cnf(fact_finite__nat__set__iff__bounded-3, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u4113)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem71(_u4113, _u4110)), _u4110)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_finite__nat__set__iff__bounded__le ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_finite__nat__set__iff__bounded__le-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u4119)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u4114), _u4119)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4114), skolem72(_u4119))) )).
% 39.89/40.05 cnf(fact_finite__nat__set__iff__bounded__le-2, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u4120)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem73(_u4120, _u4117)), _u4120)) )).
% 39.89/40.05 cnf(fact_finite__nat__set__iff__bounded__le-3, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u4120)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem73(_u4120, _u4117)), _u4117)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_option_Oinject ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_option_Oinject-1, axiom, ( ( _u4126 = _u4128) | ( hAPP(c_Option_Ooption_OSome(_u4124), _u4126) != hAPP(c_Option_Ooption_OSome(_u4124), _u4128)) )).
% 39.89/40.05 cnf(fact_option_Oinject-2, axiom, ( ( _u4127 != _u4129) | ( hAPP(c_Option_Ooption_OSome(_u4125), _u4127) = hAPP(c_Option_Ooption_OSome(_u4125), _u4129)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_folding__one_Osingleton ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_folding__one_Osingleton-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u4130, _u4131, _u4132) | ( hAPP(_u4132, hAPP(hAPP(c_Set_Oinsert(_u4130), _u4133), c_Orderings_Obot__class_Obot(tc_fun(_u4130, tc_HOL_Obool)))) = _u4133) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_finite__M__bounded__by__nat ( axiom ) converted to clauses:
% 39.89/40.05 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), _u4134)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), _u4135))))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_folding__image__simple_Oinsert ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_folding__image__simple_Oinsert-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4137), _u4142)) | hBOOL(hAPP(hAPP(c_member(_u4137), _u4143), _u4142)) | ( hAPP(_u4141, hAPP(hAPP(c_Set_Oinsert(_u4137), _u4143), _u4142)) = hAPP(hAPP(_u4138, hAPP(_u4140, _u4143)), hAPP(_u4141, _u4142))) | ~c_Finite__Set_Ofolding__image__simple(_u4136, _u4137, _u4138, _u4139, _u4140, _u4141) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_folding__image__simple_Ounion__inter ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_folding__image__simple_Ounion__inter-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4145), _u4150)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4145), _u4151)) | ( hAPP(hAPP(_u4146, hAPP(_u4149, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4145, tc_HOL_Obool)), _u4150), _u4151))), hAPP(_u4149, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4145, tc_HOL_Obool)), _u4150), _u4151))) = hAPP(hAPP(_u4146, hAPP(_u4149, _u4150)), hAPP(_u4149, _u4151))) | ~c_Finite__Set_Ofolding__image__simple(_u4144, _u4145, _u4146, _u4147, _u4148, _u4149) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_folding_Oinsert ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_folding_Oinsert-1, axiom, ( ~c_Finite__Set_Ofolding(_u4152, _u4153, _u4154, _u4155) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4152), _u4156)) | hBOOL(hAPP(hAPP(c_member(_u4152), _u4157), _u4156)) | ( hAPP(_u4155, hAPP(hAPP(c_Set_Oinsert(_u4152), _u4157), _u4156)) = hAPP(c_Fun_Ocomp(_u4153, _u4153, _u4153, hAPP(_u4155, _u4156)), hAPP(_u4154, _u4157))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_folding_Ounion__inter ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_folding_Ounion__inter-1, axiom, ( ~c_Finite__Set_Ofolding(_u4158, _u4159, _u4160, _u4161) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4158), _u4162)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4158), _u4163)) | ( hAPP(c_Fun_Ocomp(_u4159, _u4159, _u4159, hAPP(_u4161, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4158, tc_HOL_Obool)), _u4162), _u4163))), hAPP(_u4161, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4158, tc_HOL_Obool)), _u4162), _u4163))) = hAPP(c_Fun_Ocomp(_u4159, _u4159, _u4159, hAPP(_u4161, _u4162)), hAPP(_u4161, _u4163))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_folding__one_Oinsert ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_folding__one_Oinsert-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u4164, _u4165, _u4166) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4164), _u4167)) | hBOOL(hAPP(hAPP(c_member(_u4164), _u4168), _u4167)) | ( _u4167 = c_Orderings_Obot__class_Obot(tc_fun(_u4164, tc_HOL_Obool))) | ( hAPP(_u4166, hAPP(hAPP(c_Set_Oinsert(_u4164), _u4168), _u4167)) = hAPP(hAPP(_u4165, _u4168), hAPP(_u4166, _u4167))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_Image__empty ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_Image__empty-1, axiom, ( ( hAPP(c_Relation_OImage(_u4169, _u4170, _u4171), c_Orderings_Obot__class_Obot(tc_fun(_u4169, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u4170, tc_HOL_Obool))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_folding__image__simple_Oinsert__remove ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_folding__image__simple_Oinsert__remove-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4173), _u4178)) | ( hAPP(_u4177, hAPP(hAPP(c_Set_Oinsert(_u4173), _u4179), _u4178)) = hAPP(hAPP(_u4174, hAPP(_u4176, _u4179)), hAPP(_u4177, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4173, tc_HOL_Obool)), _u4178), hAPP(hAPP(c_Set_Oinsert(_u4173), _u4179), c_Orderings_Obot__class_Obot(tc_fun(_u4173, tc_HOL_Obool))))))) | ~c_Finite__Set_Ofolding__image__simple(_u4172, _u4173, _u4174, _u4175, _u4176, _u4177) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_folding__one_Oinsert__remove ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_folding__one_Oinsert__remove-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u4180, _u4181, _u4182) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4180), _u4183)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4180, tc_HOL_Obool)), _u4183), hAPP(hAPP(c_Set_Oinsert(_u4180), _u4184), c_Orderings_Obot__class_Obot(tc_fun(_u4180, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u4180, tc_HOL_Obool))) | ( hAPP(_u4182, hAPP(hAPP(c_Set_Oinsert(_u4180), _u4184), _u4183)) = _u4184) )).
% 39.89/40.05 cnf(fact_folding__one_Oinsert__remove-2, axiom, ( ~c_Finite__Set_Ofolding__one(_u4180, _u4181, _u4182) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4180), _u4183)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4180, tc_HOL_Obool)), _u4183), hAPP(hAPP(c_Set_Oinsert(_u4180), _u4184), c_Orderings_Obot__class_Obot(tc_fun(_u4180, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u4180, tc_HOL_Obool))) | ( hAPP(_u4182, hAPP(hAPP(c_Set_Oinsert(_u4180), _u4184), _u4183)) = hAPP(hAPP(_u4181, _u4184), hAPP(_u4182, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4180, tc_HOL_Obool)), _u4183), hAPP(hAPP(c_Set_Oinsert(_u4180), _u4184), c_Orderings_Obot__class_Obot(tc_fun(_u4180, tc_HOL_Obool))))))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_folding__image__simple_Ounion__disjoint ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_folding__image__simple_Ounion__disjoint-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4186), _u4191)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4186), _u4192)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4186, tc_HOL_Obool)), _u4191), _u4192) != c_Orderings_Obot__class_Obot(tc_fun(_u4186, tc_HOL_Obool))) | ( hAPP(_u4190, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4186, tc_HOL_Obool)), _u4191), _u4192)) = hAPP(hAPP(_u4187, hAPP(_u4190, _u4191)), hAPP(_u4190, _u4192))) | ~c_Finite__Set_Ofolding__image__simple(_u4185, _u4186, _u4187, _u4188, _u4189, _u4190) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_folding__one_Ounion__disjoint ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_folding__one_Ounion__disjoint-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u4193, _u4194, _u4195) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4193), _u4196)) | ( _u4196 = c_Orderings_Obot__class_Obot(tc_fun(_u4193, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4193), _u4197)) | ( _u4197 = c_Orderings_Obot__class_Obot(tc_fun(_u4193, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4193, tc_HOL_Obool)), _u4196), _u4197) != c_Orderings_Obot__class_Obot(tc_fun(_u4193, tc_HOL_Obool))) | ( hAPP(_u4195, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4193, tc_HOL_Obool)), _u4196), _u4197)) = hAPP(hAPP(_u4194, hAPP(_u4195, _u4196)), hAPP(_u4195, _u4197))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_folding__one_Ounion__inter ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_folding__one_Ounion__inter-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u4198, _u4199, _u4200) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4198), _u4201)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4198), _u4202)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4198, tc_HOL_Obool)), _u4201), _u4202) = c_Orderings_Obot__class_Obot(tc_fun(_u4198, tc_HOL_Obool))) | ( hAPP(hAPP(_u4199, hAPP(_u4200, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4198, tc_HOL_Obool)), _u4201), _u4202))), hAPP(_u4200, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4198, tc_HOL_Obool)), _u4201), _u4202))) = hAPP(hAPP(_u4199, hAPP(_u4200, _u4201)), hAPP(_u4200, _u4202))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_Image__mono ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_Image__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u4203, _u4204), tc_HOL_Obool)), _u4205), _u4206)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4203, tc_HOL_Obool)), _u4207), _u4208)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4204, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u4203, _u4204, _u4205), _u4207)), hAPP(c_Relation_OImage(_u4203, _u4204, _u4206), _u4208))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_Image__Un ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_Image__Un-1, axiom, ( ( hAPP(c_Relation_OImage(_u4209, _u4210, _u4211), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4209, tc_HOL_Obool)), _u4212), _u4213)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4210, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u4209, _u4210, _u4211), _u4212)), hAPP(c_Relation_OImage(_u4209, _u4210, _u4211), _u4213))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_Un__Image ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_Un__Image-1, axiom, ( ( hAPP(c_Relation_OImage(_u4214, _u4215, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u4214, _u4215), tc_HOL_Obool)), _u4216), _u4217)), _u4218) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4215, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u4214, _u4215, _u4216), _u4218)), hAPP(c_Relation_OImage(_u4214, _u4215, _u4217), _u4218))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_not__None__eq ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_not__None__eq-1, axiom, ( ( _u4223 = c_Option_Ooption_ONone(_u4225)) | ( _u4223 = hAPP(c_Option_Ooption_OSome(_u4225), skolem74(_u4225, _u4223))) )).
% 39.89/40.05 cnf(fact_not__None__eq-2, axiom, ( ( _u4224 != hAPP(c_Option_Ooption_OSome(_u4226), _u4220)) | ( _u4224 != c_Option_Ooption_ONone(_u4226)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_not__Some__eq ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_not__Some__eq-1, axiom, ( ( _u4231 = hAPP(c_Option_Ooption_OSome(_u4233), skolem75(_u4233, _u4231))) | ( _u4231 = c_Option_Ooption_ONone(_u4233)) )).
% 39.89/40.05 cnf(fact_not__Some__eq-2, axiom, ( ( _u4232 != c_Option_Ooption_ONone(_u4234)) | ( _u4232 != hAPP(c_Option_Ooption_OSome(_u4234), _u4228)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_option_Osimps_I3_J ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_option_Osimps_I3_J-1, axiom, ( ( hAPP(c_Option_Ooption_OSome(_u4235), _u4236) != c_Option_Ooption_ONone(_u4235)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_option_Osimps_I2_J ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_option_Osimps_I2_J-1, axiom, ( ( c_Option_Ooption_ONone(_u4237) != hAPP(c_Option_Ooption_OSome(_u4237), _u4238)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_folding_Oinsert__remove ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_folding_Oinsert__remove-1, axiom, ( ~c_Finite__Set_Ofolding(_u4239, _u4240, _u4241, _u4242) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4239), _u4243)) | ( hAPP(_u4242, hAPP(hAPP(c_Set_Oinsert(_u4239), _u4244), _u4243)) = hAPP(c_Fun_Ocomp(_u4240, _u4240, _u4240, hAPP(_u4242, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4239, tc_HOL_Obool)), _u4243), hAPP(hAPP(c_Set_Oinsert(_u4239), _u4244), c_Orderings_Obot__class_Obot(tc_fun(_u4239, tc_HOL_Obool)))))), hAPP(_u4241, _u4244))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_folding_Ounion ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_folding_Ounion-1, axiom, ( ~c_Finite__Set_Ofolding(_u4245, _u4246, _u4247, _u4248) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4245), _u4249)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4245), _u4250)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4245, tc_HOL_Obool)), _u4249), _u4250) != c_Orderings_Obot__class_Obot(tc_fun(_u4245, tc_HOL_Obool))) | ( hAPP(_u4248, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4245, tc_HOL_Obool)), _u4249), _u4250)) = hAPP(c_Fun_Ocomp(_u4246, _u4246, _u4246, hAPP(_u4248, _u4249)), hAPP(_u4248, _u4250))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_Option_Oset_Osimps_I2_J ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_Option_Oset_Osimps_I2_J-1, axiom, ( ( c_Option_Oset(_u4251, hAPP(c_Option_Ooption_OSome(_u4251), _u4252)) = hAPP(hAPP(c_Set_Oinsert(_u4251), _u4252), c_Orderings_Obot__class_Obot(tc_fun(_u4251, tc_HOL_Obool)))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_ord_OatMost__iff ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_ord_OatMost__iff-1, axiom, ( hBOOL(hAPP(hAPP(_u4261, _u4259), _u4263)) | ~hBOOL(hAPP(hAPP(c_member(_u4257), _u4259), c_SetInterval_Oord_OatMost(_u4257, _u4261, _u4263))) )).
% 39.89/40.05 cnf(fact_ord_OatMost__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(_u4262, _u4260), _u4264)) | hBOOL(hAPP(hAPP(c_member(_u4258), _u4260), c_SetInterval_Oord_OatMost(_u4258, _u4262, _u4264))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_ord_OatLeast__iff ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_ord_OatLeast__iff-1, axiom, ( hBOOL(hAPP(hAPP(_u4273, _u4275), _u4271)) | ~hBOOL(hAPP(hAPP(c_member(_u4269), _u4271), c_SetInterval_Oord_OatLeast(_u4269, _u4273, _u4275))) )).
% 39.89/40.05 cnf(fact_ord_OatLeast__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(_u4274, _u4276), _u4272)) | hBOOL(hAPP(hAPP(c_member(_u4270), _u4272), c_SetInterval_Oord_OatLeast(_u4270, _u4274, _u4276))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_ord_OlessThan__iff ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_ord_OlessThan__iff-1, axiom, ( hBOOL(hAPP(hAPP(_u4285, _u4283), _u4287)) | ~hBOOL(hAPP(hAPP(c_member(_u4281), _u4283), c_SetInterval_Oord_OlessThan(_u4281, _u4285, _u4287))) )).
% 39.89/40.05 cnf(fact_ord_OlessThan__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(_u4286, _u4284), _u4288)) | hBOOL(hAPP(hAPP(c_member(_u4282), _u4284), c_SetInterval_Oord_OlessThan(_u4282, _u4286, _u4288))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_ord_OgreaterThan__iff ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_ord_OgreaterThan__iff-1, axiom, ( hBOOL(hAPP(hAPP(_u4297, _u4299), _u4295)) | ~hBOOL(hAPP(hAPP(c_member(_u4293), _u4295), c_SetInterval_Oord_OgreaterThan(_u4293, _u4297, _u4299))) )).
% 39.89/40.05 cnf(fact_ord_OgreaterThan__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(_u4298, _u4300), _u4296)) | hBOOL(hAPP(hAPP(c_member(_u4294), _u4296), c_SetInterval_Oord_OgreaterThan(_u4294, _u4298, _u4300))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_ord_OatLeastAtMost__iff ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_ord_OatLeastAtMost__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4306), _u4308), c_SetInterval_Oord_OatLeastAtMost(_u4306, _u4310, _u4312, _u4314))) | hBOOL(hAPP(hAPP(_u4310, _u4312), _u4308)) )).
% 39.89/40.05 cnf(fact_ord_OatLeastAtMost__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4306), _u4308), c_SetInterval_Oord_OatLeastAtMost(_u4306, _u4310, _u4312, _u4314))) | hBOOL(hAPP(hAPP(_u4310, _u4308), _u4314)) )).
% 39.89/40.05 cnf(fact_ord_OatLeastAtMost__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(_u4311, _u4313), _u4309)) | ~hBOOL(hAPP(hAPP(_u4311, _u4309), _u4315)) | hBOOL(hAPP(hAPP(c_member(_u4307), _u4309), c_SetInterval_Oord_OatLeastAtMost(_u4307, _u4311, _u4313, _u4315))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_ord_OgreaterThanLessThan__iff ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_ord_OgreaterThanLessThan__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4321), _u4323), c_SetInterval_Oord_OgreaterThanLessThan(_u4321, _u4325, _u4327, _u4329))) | hBOOL(hAPP(hAPP(_u4325, _u4327), _u4323)) )).
% 39.89/40.05 cnf(fact_ord_OgreaterThanLessThan__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4321), _u4323), c_SetInterval_Oord_OgreaterThanLessThan(_u4321, _u4325, _u4327, _u4329))) | hBOOL(hAPP(hAPP(_u4325, _u4323), _u4329)) )).
% 39.89/40.05 cnf(fact_ord_OgreaterThanLessThan__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(_u4326, _u4328), _u4324)) | ~hBOOL(hAPP(hAPP(_u4326, _u4324), _u4330)) | hBOOL(hAPP(hAPP(c_member(_u4322), _u4324), c_SetInterval_Oord_OgreaterThanLessThan(_u4322, _u4326, _u4328, _u4330))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_ord_OatLeastLessThan__iff ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_ord_OatLeastLessThan__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4337), _u4339), c_SetInterval_Oord_OatLeastLessThan(_u4337, _u4341, _u4343, _u4345, _u4347))) | hBOOL(hAPP(hAPP(_u4341, _u4345), _u4339)) )).
% 39.89/40.05 cnf(fact_ord_OatLeastLessThan__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4337), _u4339), c_SetInterval_Oord_OatLeastLessThan(_u4337, _u4341, _u4343, _u4345, _u4347))) | hBOOL(hAPP(hAPP(_u4343, _u4339), _u4347)) )).
% 39.89/40.05 cnf(fact_ord_OatLeastLessThan__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(_u4342, _u4346), _u4340)) | ~hBOOL(hAPP(hAPP(_u4344, _u4340), _u4348)) | hBOOL(hAPP(hAPP(c_member(_u4338), _u4340), c_SetInterval_Oord_OatLeastLessThan(_u4338, _u4342, _u4344, _u4346, _u4348))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_less__by__empty ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_less__by__empty-1, axiom, ( ( _u4349 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u4350, _u4350), tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u4350, _u4350), tc_HOL_Obool)), _u4349), _u4351)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_elem__set ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_elem__set-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4355), _u4357), c_Option_Oset(_u4355, _u4359))) | ( _u4359 = hAPP(c_Option_Ooption_OSome(_u4355), _u4357)) )).
% 39.89/40.05 cnf(fact_elem__set-2, axiom, ( ( _u4360 != hAPP(c_Option_Ooption_OSome(_u4356), _u4358)) | hBOOL(hAPP(hAPP(c_member(_u4356), _u4358), c_Option_Oset(_u4356, _u4360))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_Option_Oset_Osimps_I1_J ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_Option_Oset_Osimps_I1_J-1, axiom, ( ( c_Option_Oset(_u4361, c_Option_Ooption_ONone(_u4361)) = c_Orderings_Obot__class_Obot(tc_fun(_u4361, tc_HOL_Obool))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_set__empty__eq ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_set__empty__eq-1, axiom, ( ( c_Option_Oset(_u4364, _u4366) != c_Orderings_Obot__class_Obot(tc_fun(_u4364, tc_HOL_Obool))) | ( _u4366 = c_Option_Ooption_ONone(_u4364)) )).
% 39.89/40.05 cnf(fact_set__empty__eq-2, axiom, ( ( _u4367 != c_Option_Ooption_ONone(_u4365)) | ( c_Option_Oset(_u4365, _u4367) = c_Orderings_Obot__class_Obot(tc_fun(_u4365, tc_HOL_Obool))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_ord_OgreaterThanAtMost__iff ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_ord_OgreaterThanAtMost__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4374), _u4376), c_SetInterval_Oord_OgreaterThanAtMost(_u4374, _u4378, _u4380, _u4382, _u4384))) | hBOOL(hAPP(hAPP(_u4380, _u4382), _u4376)) )).
% 39.89/40.05 cnf(fact_ord_OgreaterThanAtMost__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4374), _u4376), c_SetInterval_Oord_OgreaterThanAtMost(_u4374, _u4378, _u4380, _u4382, _u4384))) | hBOOL(hAPP(hAPP(_u4378, _u4376), _u4384)) )).
% 39.89/40.05 cnf(fact_ord_OgreaterThanAtMost__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(_u4381, _u4383), _u4377)) | ~hBOOL(hAPP(hAPP(_u4379, _u4377), _u4385)) | hBOOL(hAPP(hAPP(c_member(_u4375), _u4377), c_SetInterval_Oord_OgreaterThanAtMost(_u4375, _u4379, _u4381, _u4383, _u4385))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_Inf__fin_Oremove ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_Inf__fin_Oremove-1, axiom, ( ~class_Lattices_Olattice(_u4386) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4386), _u4387)) | ~hBOOL(hAPP(hAPP(c_member(_u4386), _u4388), _u4387)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4386, tc_HOL_Obool)), _u4387), hAPP(hAPP(c_Set_Oinsert(_u4386), _u4388), c_Orderings_Obot__class_Obot(tc_fun(_u4386, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u4386, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u4386, _u4387) = _u4388) )).
% 39.89/40.05 cnf(fact_Inf__fin_Oremove-2, axiom, ( ~class_Lattices_Olattice(_u4386) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4386), _u4387)) | ~hBOOL(hAPP(hAPP(c_member(_u4386), _u4388), _u4387)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4386, tc_HOL_Obool)), _u4387), hAPP(hAPP(c_Set_Oinsert(_u4386), _u4388), c_Orderings_Obot__class_Obot(tc_fun(_u4386, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u4386, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u4386, _u4387) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4386), _u4388), c_Big__Operators_Olattice__class_OInf__fin(_u4386, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4386, tc_HOL_Obool)), _u4387), hAPP(hAPP(c_Set_Oinsert(_u4386), _u4388), c_Orderings_Obot__class_Obot(tc_fun(_u4386, tc_HOL_Obool))))))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_Sup__fin_Oremove ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_Sup__fin_Oremove-1, axiom, ( ~class_Lattices_Olattice(_u4389) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4389), _u4390)) | ~hBOOL(hAPP(hAPP(c_member(_u4389), _u4391), _u4390)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4389, tc_HOL_Obool)), _u4390), hAPP(hAPP(c_Set_Oinsert(_u4389), _u4391), c_Orderings_Obot__class_Obot(tc_fun(_u4389, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u4389, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u4389, _u4390) = _u4391) )).
% 39.89/40.05 cnf(fact_Sup__fin_Oremove-2, axiom, ( ~class_Lattices_Olattice(_u4389) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4389), _u4390)) | ~hBOOL(hAPP(hAPP(c_member(_u4389), _u4391), _u4390)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4389, tc_HOL_Obool)), _u4390), hAPP(hAPP(c_Set_Oinsert(_u4389), _u4391), c_Orderings_Obot__class_Obot(tc_fun(_u4389, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u4389, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u4389, _u4390) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4389), _u4391), c_Big__Operators_Olattice__class_OSup__fin(_u4389, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4389, tc_HOL_Obool)), _u4390), hAPP(hAPP(c_Set_Oinsert(_u4389), _u4391), c_Orderings_Obot__class_Obot(tc_fun(_u4389, tc_HOL_Obool))))))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_folding__idem_Ounion__idem ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_folding__idem_Ounion__idem-1, axiom, ( ~c_Finite__Set_Ofolding__idem(_u4392, _u4393, _u4394, _u4395) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4392), _u4396)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4392), _u4397)) | ( hAPP(_u4395, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4392, tc_HOL_Obool)), _u4396), _u4397)) = hAPP(c_Fun_Ocomp(_u4393, _u4393, _u4393, hAPP(_u4395, _u4396)), hAPP(_u4395, _u4397))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_folding__idem_Osubset__comp__idem ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_folding__idem_Osubset__comp__idem-1, axiom, ( ~c_Finite__Set_Ofolding__idem(_u4398, _u4399, _u4400, _u4401) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4398), _u4402)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4398, tc_HOL_Obool)), _u4403), _u4402)) | ( hAPP(c_Fun_Ocomp(_u4399, _u4399, _u4399, hAPP(_u4401, _u4402)), hAPP(_u4401, _u4403)) = hAPP(_u4401, _u4402)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_folding__idem_Oinsert__idem ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_folding__idem_Oinsert__idem-1, axiom, ( ~c_Finite__Set_Ofolding__idem(_u4404, _u4405, _u4406, _u4407) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4404), _u4408)) | ( hAPP(_u4407, hAPP(hAPP(c_Set_Oinsert(_u4404), _u4409), _u4408)) = hAPP(c_Fun_Ocomp(_u4405, _u4405, _u4405, hAPP(_u4407, _u4408)), hAPP(_u4406, _u4409))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_folding__one_Oclosed ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_folding__one_Oclosed-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u4412, _u4413, _u4414) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4412), _u4415)) | ( _u4415 = c_Orderings_Obot__class_Obot(tc_fun(_u4412, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u4412), hAPP(hAPP(_u4413, skolem76(_u4415, _u4414, _u4413, _u4412)), skolem77(_u4415, _u4414, _u4413, _u4412))), hAPP(hAPP(c_Set_Oinsert(_u4412), skolem76(_u4415, _u4414, _u4413, _u4412)), hAPP(hAPP(c_Set_Oinsert(_u4412), skolem77(_u4415, _u4414, _u4413, _u4412)), c_Orderings_Obot__class_Obot(tc_fun(_u4412, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u4412), hAPP(_u4414, _u4415)), _u4415)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_folding__idem_Oin__comp__idem ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_folding__idem_Oin__comp__idem-1, axiom, ( ~c_Finite__Set_Ofolding__idem(_u4416, _u4417, _u4418, _u4419) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4416), _u4420)) | ~hBOOL(hAPP(hAPP(c_member(_u4416), _u4421), _u4420)) | ( hAPP(c_Fun_Ocomp(_u4417, _u4417, _u4417, hAPP(_u4419, _u4420)), hAPP(_u4418, _u4421)) = hAPP(_u4419, _u4420)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_Inf__le__Sup ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_Inf__le__Sup-1, axiom, ( ~class_Lattices_Olattice(_u4422) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4422), _u4423)) | ( _u4423 = c_Orderings_Obot__class_Obot(tc_fun(_u4422, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4422), c_Big__Operators_Olattice__class_OInf__fin(_u4422, _u4423)), c_Big__Operators_Olattice__class_OSup__fin(_u4422, _u4423))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_Sup__fin_Osingleton ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_Sup__fin_Osingleton-1, axiom, ( ~class_Lattices_Olattice(_u4424) | ( c_Big__Operators_Olattice__class_OSup__fin(_u4424, hAPP(hAPP(c_Set_Oinsert(_u4424), _u4425), c_Orderings_Obot__class_Obot(tc_fun(_u4424, tc_HOL_Obool)))) = _u4425) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_Inf__fin_Osingleton ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_Inf__fin_Osingleton-1, axiom, ( ~class_Lattices_Olattice(_u4426) | ( c_Big__Operators_Olattice__class_OInf__fin(_u4426, hAPP(hAPP(c_Set_Oinsert(_u4426), _u4427), c_Orderings_Obot__class_Obot(tc_fun(_u4426, tc_HOL_Obool)))) = _u4427) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_folding__idem_Oidem__comp ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_folding__idem_Oidem__comp-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u4429, _u4429, _u4429, hAPP(_u4430, _u4432)), hAPP(_u4430, _u4432)) = hAPP(_u4430, _u4432)) | ~c_Finite__Set_Ofolding__idem(_u4428, _u4429, _u4430, _u4431) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_folding__idem_Oidem__left__comp ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_folding__idem_Oidem__left__comp-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u4434, _u4434, _u4437, hAPP(_u4435, _u4438)), hAPP(c_Fun_Ocomp(_u4434, _u4434, _u4437, hAPP(_u4435, _u4438)), _u4439)) = hAPP(c_Fun_Ocomp(_u4434, _u4434, _u4437, hAPP(_u4435, _u4438)), _u4439)) | ~c_Finite__Set_Ofolding__idem(_u4433, _u4434, _u4435, _u4436) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_sup__Inf__absorb ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_sup__Inf__absorb-1, axiom, ( ~class_Lattices_Olattice(_u4440) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4440), _u4441)) | ~hBOOL(hAPP(hAPP(c_member(_u4440), _u4442), _u4441)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4440), _u4442), c_Big__Operators_Olattice__class_OInf__fin(_u4440, _u4441)) = _u4442) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_Sup__fin_Oin__idem ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_Sup__fin_Oin__idem-1, axiom, ( ~class_Lattices_Olattice(_u4443) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4443), _u4444)) | ~hBOOL(hAPP(hAPP(c_member(_u4443), _u4445), _u4444)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4443), _u4445), c_Big__Operators_Olattice__class_OSup__fin(_u4443, _u4444)) = c_Big__Operators_Olattice__class_OSup__fin(_u4443, _u4444)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_Inf__fin_Oin__idem ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_Inf__fin_Oin__idem-1, axiom, ( ~class_Lattices_Olattice(_u4446) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4446), _u4447)) | ~hBOOL(hAPP(hAPP(c_member(_u4446), _u4448), _u4447)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4446), _u4448), c_Big__Operators_Olattice__class_OInf__fin(_u4446, _u4447)) = c_Big__Operators_Olattice__class_OInf__fin(_u4446, _u4447)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_inf__Sup__absorb ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_inf__Sup__absorb-1, axiom, ( ~class_Lattices_Olattice(_u4449) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4449), _u4450)) | ~hBOOL(hAPP(hAPP(c_member(_u4449), _u4451), _u4450)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4449), _u4451), c_Big__Operators_Olattice__class_OSup__fin(_u4449, _u4450)) = _u4451) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_Sup__fin_Oinsert__idem ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_Sup__fin_Oinsert__idem-1, axiom, ( ~class_Lattices_Olattice(_u4452) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4452), _u4453)) | ( _u4453 = c_Orderings_Obot__class_Obot(tc_fun(_u4452, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u4452, hAPP(hAPP(c_Set_Oinsert(_u4452), _u4454), _u4453)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4452), _u4454), c_Big__Operators_Olattice__class_OSup__fin(_u4452, _u4453))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_Inf__fin_Oinsert__idem ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_Inf__fin_Oinsert__idem-1, axiom, ( ~class_Lattices_Olattice(_u4455) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4455), _u4456)) | ( _u4456 = c_Orderings_Obot__class_Obot(tc_fun(_u4455, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u4455, hAPP(hAPP(c_Set_Oinsert(_u4455), _u4457), _u4456)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4455), _u4457), c_Big__Operators_Olattice__class_OInf__fin(_u4455, _u4456))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_Sup__fin_Osubset__idem ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_Sup__fin_Osubset__idem-1, axiom, ( ~class_Lattices_Olattice(_u4458) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4458), _u4459)) | ( _u4460 = c_Orderings_Obot__class_Obot(tc_fun(_u4458, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4458, tc_HOL_Obool)), _u4460), _u4459)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4458), c_Big__Operators_Olattice__class_OSup__fin(_u4458, _u4460)), c_Big__Operators_Olattice__class_OSup__fin(_u4458, _u4459)) = c_Big__Operators_Olattice__class_OSup__fin(_u4458, _u4459)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_Inf__fin_Osubset__idem ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_Inf__fin_Osubset__idem-1, axiom, ( ~class_Lattices_Olattice(_u4461) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4461), _u4462)) | ( _u4463 = c_Orderings_Obot__class_Obot(tc_fun(_u4461, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4461, tc_HOL_Obool)), _u4463), _u4462)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4461), c_Big__Operators_Olattice__class_OInf__fin(_u4461, _u4463)), c_Big__Operators_Olattice__class_OInf__fin(_u4461, _u4462)) = c_Big__Operators_Olattice__class_OInf__fin(_u4461, _u4462)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_Sup__fin_Ounion__idem ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_Sup__fin_Ounion__idem-1, axiom, ( ~class_Lattices_Olattice(_u4464) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4464), _u4465)) | ( _u4465 = c_Orderings_Obot__class_Obot(tc_fun(_u4464, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4464), _u4466)) | ( _u4466 = c_Orderings_Obot__class_Obot(tc_fun(_u4464, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u4464, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4464, tc_HOL_Obool)), _u4465), _u4466)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4464), c_Big__Operators_Olattice__class_OSup__fin(_u4464, _u4465)), c_Big__Operators_Olattice__class_OSup__fin(_u4464, _u4466))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_Inf__fin_Ounion__idem ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_Inf__fin_Ounion__idem-1, axiom, ( ~class_Lattices_Olattice(_u4467) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4467), _u4468)) | ( _u4468 = c_Orderings_Obot__class_Obot(tc_fun(_u4467, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4467), _u4469)) | ( _u4469 = c_Orderings_Obot__class_Obot(tc_fun(_u4467, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u4467, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4467, tc_HOL_Obool)), _u4468), _u4469)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4467), c_Big__Operators_Olattice__class_OInf__fin(_u4467, _u4468)), c_Big__Operators_Olattice__class_OInf__fin(_u4467, _u4469))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_Sup__fin_Oinsert ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_Sup__fin_Oinsert-1, axiom, ( ~class_Lattices_Olattice(_u4470) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4470), _u4471)) | hBOOL(hAPP(hAPP(c_member(_u4470), _u4472), _u4471)) | ( _u4471 = c_Orderings_Obot__class_Obot(tc_fun(_u4470, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u4470, hAPP(hAPP(c_Set_Oinsert(_u4470), _u4472), _u4471)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4470), _u4472), c_Big__Operators_Olattice__class_OSup__fin(_u4470, _u4471))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_Inf__fin_Oinsert ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_Inf__fin_Oinsert-1, axiom, ( ~class_Lattices_Olattice(_u4473) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4473), _u4474)) | hBOOL(hAPP(hAPP(c_member(_u4473), _u4475), _u4474)) | ( _u4474 = c_Orderings_Obot__class_Obot(tc_fun(_u4473, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u4473, hAPP(hAPP(c_Set_Oinsert(_u4473), _u4475), _u4474)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4473), _u4475), c_Big__Operators_Olattice__class_OInf__fin(_u4473, _u4474))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_Sup__fin_Oinsert__remove ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_Sup__fin_Oinsert__remove-1, axiom, ( ~class_Lattices_Olattice(_u4476) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4476), _u4477)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4476, tc_HOL_Obool)), _u4477), hAPP(hAPP(c_Set_Oinsert(_u4476), _u4478), c_Orderings_Obot__class_Obot(tc_fun(_u4476, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u4476, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u4476, hAPP(hAPP(c_Set_Oinsert(_u4476), _u4478), _u4477)) = _u4478) )).
% 39.89/40.05 cnf(fact_Sup__fin_Oinsert__remove-2, axiom, ( ~class_Lattices_Olattice(_u4476) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4476), _u4477)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4476, tc_HOL_Obool)), _u4477), hAPP(hAPP(c_Set_Oinsert(_u4476), _u4478), c_Orderings_Obot__class_Obot(tc_fun(_u4476, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u4476, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u4476, hAPP(hAPP(c_Set_Oinsert(_u4476), _u4478), _u4477)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4476), _u4478), c_Big__Operators_Olattice__class_OSup__fin(_u4476, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4476, tc_HOL_Obool)), _u4477), hAPP(hAPP(c_Set_Oinsert(_u4476), _u4478), c_Orderings_Obot__class_Obot(tc_fun(_u4476, tc_HOL_Obool))))))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_Inf__fin_Oinsert__remove ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_Inf__fin_Oinsert__remove-1, axiom, ( ~class_Lattices_Olattice(_u4479) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4479), _u4480)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4479, tc_HOL_Obool)), _u4480), hAPP(hAPP(c_Set_Oinsert(_u4479), _u4481), c_Orderings_Obot__class_Obot(tc_fun(_u4479, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u4479, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u4479, hAPP(hAPP(c_Set_Oinsert(_u4479), _u4481), _u4480)) = _u4481) )).
% 39.89/40.05 cnf(fact_Inf__fin_Oinsert__remove-2, axiom, ( ~class_Lattices_Olattice(_u4479) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4479), _u4480)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4479, tc_HOL_Obool)), _u4480), hAPP(hAPP(c_Set_Oinsert(_u4479), _u4481), c_Orderings_Obot__class_Obot(tc_fun(_u4479, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u4479, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u4479, hAPP(hAPP(c_Set_Oinsert(_u4479), _u4481), _u4480)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4479), _u4481), c_Big__Operators_Olattice__class_OInf__fin(_u4479, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4479, tc_HOL_Obool)), _u4480), hAPP(hAPP(c_Set_Oinsert(_u4479), _u4481), c_Orderings_Obot__class_Obot(tc_fun(_u4479, tc_HOL_Obool))))))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_Sup__fin_Ounion__disjoint ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_Sup__fin_Ounion__disjoint-1, axiom, ( ~class_Lattices_Olattice(_u4482) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4482), _u4483)) | ( _u4483 = c_Orderings_Obot__class_Obot(tc_fun(_u4482, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4482), _u4484)) | ( _u4484 = c_Orderings_Obot__class_Obot(tc_fun(_u4482, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4482, tc_HOL_Obool)), _u4483), _u4484) != c_Orderings_Obot__class_Obot(tc_fun(_u4482, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u4482, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4482, tc_HOL_Obool)), _u4483), _u4484)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4482), c_Big__Operators_Olattice__class_OSup__fin(_u4482, _u4483)), c_Big__Operators_Olattice__class_OSup__fin(_u4482, _u4484))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_Sup__fin_Ounion__inter ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_Sup__fin_Ounion__inter-1, axiom, ( ~class_Lattices_Olattice(_u4485) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4485), _u4486)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4485), _u4487)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4485, tc_HOL_Obool)), _u4486), _u4487) = c_Orderings_Obot__class_Obot(tc_fun(_u4485, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4485), c_Big__Operators_Olattice__class_OSup__fin(_u4485, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4485, tc_HOL_Obool)), _u4486), _u4487))), c_Big__Operators_Olattice__class_OSup__fin(_u4485, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4485, tc_HOL_Obool)), _u4486), _u4487))) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4485), c_Big__Operators_Olattice__class_OSup__fin(_u4485, _u4486)), c_Big__Operators_Olattice__class_OSup__fin(_u4485, _u4487))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_Inf__fin_Ounion__disjoint ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_Inf__fin_Ounion__disjoint-1, axiom, ( ~class_Lattices_Olattice(_u4488) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4488), _u4489)) | ( _u4489 = c_Orderings_Obot__class_Obot(tc_fun(_u4488, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4488), _u4490)) | ( _u4490 = c_Orderings_Obot__class_Obot(tc_fun(_u4488, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4488, tc_HOL_Obool)), _u4489), _u4490) != c_Orderings_Obot__class_Obot(tc_fun(_u4488, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u4488, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4488, tc_HOL_Obool)), _u4489), _u4490)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4488), c_Big__Operators_Olattice__class_OInf__fin(_u4488, _u4489)), c_Big__Operators_Olattice__class_OInf__fin(_u4488, _u4490))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_Inf__fin_Ounion__inter ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_Inf__fin_Ounion__inter-1, axiom, ( ~class_Lattices_Olattice(_u4491) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4491), _u4492)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4491), _u4493)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4491, tc_HOL_Obool)), _u4492), _u4493) = c_Orderings_Obot__class_Obot(tc_fun(_u4491, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4491), c_Big__Operators_Olattice__class_OInf__fin(_u4491, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4491, tc_HOL_Obool)), _u4492), _u4493))), c_Big__Operators_Olattice__class_OInf__fin(_u4491, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4491, tc_HOL_Obool)), _u4492), _u4493))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4491), c_Big__Operators_Olattice__class_OInf__fin(_u4491, _u4492)), c_Big__Operators_Olattice__class_OInf__fin(_u4491, _u4493))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_Inf__fin_Oclosed ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_Inf__fin_Oclosed-1, axiom, ( ~class_Lattices_Olattice(_u4496) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4496), _u4497)) | ( _u4497 = c_Orderings_Obot__class_Obot(tc_fun(_u4496, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u4496), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4496), skolem78(_u4497, _u4496)), skolem79(_u4497, _u4496))), hAPP(hAPP(c_Set_Oinsert(_u4496), skolem78(_u4497, _u4496)), hAPP(hAPP(c_Set_Oinsert(_u4496), skolem79(_u4497, _u4496)), c_Orderings_Obot__class_Obot(tc_fun(_u4496, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u4496), c_Big__Operators_Olattice__class_OInf__fin(_u4496, _u4497)), _u4497)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_Sup__fin_Oclosed ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_Sup__fin_Oclosed-1, axiom, ( ~class_Lattices_Olattice(_u4500) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4500), _u4501)) | ( _u4501 = c_Orderings_Obot__class_Obot(tc_fun(_u4500, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u4500), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4500), skolem80(_u4501, _u4500)), skolem81(_u4501, _u4500))), hAPP(hAPP(c_Set_Oinsert(_u4500), skolem80(_u4501, _u4500)), hAPP(hAPP(c_Set_Oinsert(_u4500), skolem81(_u4501, _u4500)), c_Orderings_Obot__class_Obot(tc_fun(_u4500, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u4500), c_Big__Operators_Olattice__class_OSup__fin(_u4500, _u4501)), _u4501)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_inf__Sup1__distrib ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_inf__Sup1__distrib-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u4502) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4502), _u4503)) | ( _u4503 = c_Orderings_Obot__class_Obot(tc_fun(_u4502, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4502), _u4504), c_Big__Operators_Olattice__class_OSup__fin(_u4502, _u4503)) = c_Big__Operators_Olattice__class_OSup__fin(_u4502, hAPP(c_Set_OCollect(_u4502), hAPP(hAPP(c_COMBB(tc_fun(_u4502, tc_HOL_Obool), tc_HOL_Obool, _u4502), c_HOL_OEx(_u4502)), hAPP(hAPP(c_COMBC(_u4502, tc_fun(_u4502, tc_HOL_Obool), tc_fun(_u4502, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u4502, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u4502, tc_HOL_Obool), tc_fun(_u4502, tc_HOL_Obool)), _u4502), c_COMBS(_u4502, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u4502, tc_HOL_Obool), tc_fun(_u4502, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u4502), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u4502), c_fconj)), hAPP(hAPP(c_COMBC(_u4502, tc_fun(_u4502, _u4502), tc_fun(_u4502, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u4502, tc_HOL_Obool), tc_fun(tc_fun(_u4502, _u4502), tc_fun(_u4502, tc_HOL_Obool)), _u4502), c_COMBB(_u4502, tc_HOL_Obool, _u4502)), c_fequal)), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4502), _u4504))))), hAPP(hAPP(c_COMBC(_u4502, tc_fun(_u4502, tc_HOL_Obool), tc_HOL_Obool), c_member(_u4502)), _u4503)))))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_inf__Sup2__distrib ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_inf__Sup2__distrib-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u4505) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4505), _u4506)) | ( _u4506 = c_Orderings_Obot__class_Obot(tc_fun(_u4505, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4505), _u4507)) | ( _u4507 = c_Orderings_Obot__class_Obot(tc_fun(_u4505, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4505), c_Big__Operators_Olattice__class_OSup__fin(_u4505, _u4506)), c_Big__Operators_Olattice__class_OSup__fin(_u4505, _u4507)) = c_Big__Operators_Olattice__class_OSup__fin(_u4505, hAPP(c_Set_OCollect(_u4505), hAPP(hAPP(c_COMBB(tc_fun(_u4505, tc_HOL_Obool), tc_HOL_Obool, _u4505), c_HOL_OEx(_u4505)), hAPP(hAPP(c_COMBB(tc_fun(_u4505, tc_fun(_u4505, tc_HOL_Obool)), tc_fun(_u4505, tc_HOL_Obool), _u4505), hAPP(c_COMBB(tc_fun(_u4505, tc_HOL_Obool), tc_HOL_Obool, _u4505), c_HOL_OEx(_u4505))), hAPP(hAPP(c_COMBC(_u4505, tc_fun(_u4505, tc_fun(_u4505, tc_HOL_Obool)), tc_fun(_u4505, tc_fun(_u4505, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u4505, tc_fun(tc_fun(_u4505, tc_HOL_Obool), tc_fun(_u4505, tc_HOL_Obool))), tc_fun(tc_fun(_u4505, tc_fun(_u4505, tc_HOL_Obool)), tc_fun(_u4505, tc_fun(_u4505, tc_HOL_Obool))), _u4505), c_COMBS(_u4505, tc_fun(_u4505, tc_HOL_Obool), tc_fun(_u4505, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u4505, tc_fun(_u4505, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u4505, tc_fun(tc_fun(_u4505, tc_HOL_Obool), tc_fun(_u4505, tc_HOL_Obool))), _u4505), hAPP(c_COMBB(tc_fun(_u4505, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u4505, tc_HOL_Obool), tc_fun(_u4505, tc_HOL_Obool)), _u4505), c_COMBS(_u4505, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u4505, tc_fun(_u4505, tc_HOL_Obool)), tc_fun(_u4505, tc_fun(_u4505, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u4505), hAPP(c_COMBB(tc_fun(_u4505, tc_HOL_Obool), tc_fun(_u4505, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u4505), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u4505), c_fconj))), hAPP(hAPP(c_COMBC(_u4505, tc_fun(_u4505, tc_fun(_u4505, _u4505)), tc_fun(_u4505, tc_fun(_u4505, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u4505, _u4505), tc_fun(_u4505, tc_HOL_Obool)), tc_fun(tc_fun(_u4505, tc_fun(_u4505, _u4505)), tc_fun(_u4505, tc_fun(_u4505, tc_HOL_Obool))), _u4505), c_COMBB(tc_fun(_u4505, _u4505), tc_fun(_u4505, tc_HOL_Obool), _u4505)), hAPP(hAPP(c_COMBB(tc_fun(_u4505, tc_HOL_Obool), tc_fun(tc_fun(_u4505, _u4505), tc_fun(_u4505, tc_HOL_Obool)), _u4505), c_COMBB(_u4505, tc_HOL_Obool, _u4505)), c_fequal))), c_Lattices_Osemilattice__inf__class_Oinf(_u4505)))))), hAPP(hAPP(c_COMBC(_u4505, tc_fun(_u4505, tc_HOL_Obool), tc_fun(_u4505, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u4505, tc_HOL_Obool), tc_fun(_u4505, tc_HOL_Obool)), _u4505), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u4505)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u4505), c_fconj), hAPP(hAPP(c_COMBC(_u4505, tc_fun(_u4505, tc_HOL_Obool), tc_HOL_Obool), c_member(_u4505)), _u4506)))), hAPP(hAPP(c_COMBC(_u4505, tc_fun(_u4505, tc_HOL_Obool), tc_HOL_Obool), c_member(_u4505)), _u4507)))))))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_sup__Inf1__distrib ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_sup__Inf1__distrib-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u4508) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4508), _u4509)) | ( _u4509 = c_Orderings_Obot__class_Obot(tc_fun(_u4508, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4508), _u4510), c_Big__Operators_Olattice__class_OInf__fin(_u4508, _u4509)) = c_Big__Operators_Olattice__class_OInf__fin(_u4508, hAPP(c_Set_OCollect(_u4508), hAPP(hAPP(c_COMBB(tc_fun(_u4508, tc_HOL_Obool), tc_HOL_Obool, _u4508), c_HOL_OEx(_u4508)), hAPP(hAPP(c_COMBC(_u4508, tc_fun(_u4508, tc_HOL_Obool), tc_fun(_u4508, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u4508, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u4508, tc_HOL_Obool), tc_fun(_u4508, tc_HOL_Obool)), _u4508), c_COMBS(_u4508, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u4508, tc_HOL_Obool), tc_fun(_u4508, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u4508), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u4508), c_fconj)), hAPP(hAPP(c_COMBC(_u4508, tc_fun(_u4508, _u4508), tc_fun(_u4508, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u4508, tc_HOL_Obool), tc_fun(tc_fun(_u4508, _u4508), tc_fun(_u4508, tc_HOL_Obool)), _u4508), c_COMBB(_u4508, tc_HOL_Obool, _u4508)), c_fequal)), hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4508), _u4510))))), hAPP(hAPP(c_COMBC(_u4508, tc_fun(_u4508, tc_HOL_Obool), tc_HOL_Obool), c_member(_u4508)), _u4509)))))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_sup__Inf2__distrib ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_sup__Inf2__distrib-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u4511) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4511), _u4512)) | ( _u4512 = c_Orderings_Obot__class_Obot(tc_fun(_u4511, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4511), _u4513)) | ( _u4513 = c_Orderings_Obot__class_Obot(tc_fun(_u4511, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4511), c_Big__Operators_Olattice__class_OInf__fin(_u4511, _u4512)), c_Big__Operators_Olattice__class_OInf__fin(_u4511, _u4513)) = c_Big__Operators_Olattice__class_OInf__fin(_u4511, hAPP(c_Set_OCollect(_u4511), hAPP(hAPP(c_COMBB(tc_fun(_u4511, tc_HOL_Obool), tc_HOL_Obool, _u4511), c_HOL_OEx(_u4511)), hAPP(hAPP(c_COMBB(tc_fun(_u4511, tc_fun(_u4511, tc_HOL_Obool)), tc_fun(_u4511, tc_HOL_Obool), _u4511), hAPP(c_COMBB(tc_fun(_u4511, tc_HOL_Obool), tc_HOL_Obool, _u4511), c_HOL_OEx(_u4511))), hAPP(hAPP(c_COMBC(_u4511, tc_fun(_u4511, tc_fun(_u4511, tc_HOL_Obool)), tc_fun(_u4511, tc_fun(_u4511, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u4511, tc_fun(tc_fun(_u4511, tc_HOL_Obool), tc_fun(_u4511, tc_HOL_Obool))), tc_fun(tc_fun(_u4511, tc_fun(_u4511, tc_HOL_Obool)), tc_fun(_u4511, tc_fun(_u4511, tc_HOL_Obool))), _u4511), c_COMBS(_u4511, tc_fun(_u4511, tc_HOL_Obool), tc_fun(_u4511, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u4511, tc_fun(_u4511, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u4511, tc_fun(tc_fun(_u4511, tc_HOL_Obool), tc_fun(_u4511, tc_HOL_Obool))), _u4511), hAPP(c_COMBB(tc_fun(_u4511, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u4511, tc_HOL_Obool), tc_fun(_u4511, tc_HOL_Obool)), _u4511), c_COMBS(_u4511, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u4511, tc_fun(_u4511, tc_HOL_Obool)), tc_fun(_u4511, tc_fun(_u4511, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u4511), hAPP(c_COMBB(tc_fun(_u4511, tc_HOL_Obool), tc_fun(_u4511, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u4511), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u4511), c_fconj))), hAPP(hAPP(c_COMBC(_u4511, tc_fun(_u4511, tc_fun(_u4511, _u4511)), tc_fun(_u4511, tc_fun(_u4511, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u4511, _u4511), tc_fun(_u4511, tc_HOL_Obool)), tc_fun(tc_fun(_u4511, tc_fun(_u4511, _u4511)), tc_fun(_u4511, tc_fun(_u4511, tc_HOL_Obool))), _u4511), c_COMBB(tc_fun(_u4511, _u4511), tc_fun(_u4511, tc_HOL_Obool), _u4511)), hAPP(hAPP(c_COMBB(tc_fun(_u4511, tc_HOL_Obool), tc_fun(tc_fun(_u4511, _u4511), tc_fun(_u4511, tc_HOL_Obool)), _u4511), c_COMBB(_u4511, tc_HOL_Obool, _u4511)), c_fequal))), c_Lattices_Osemilattice__sup__class_Osup(_u4511)))))), hAPP(hAPP(c_COMBC(_u4511, tc_fun(_u4511, tc_HOL_Obool), tc_fun(_u4511, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u4511, tc_HOL_Obool), tc_fun(_u4511, tc_HOL_Obool)), _u4511), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u4511)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u4511), c_fconj), hAPP(hAPP(c_COMBC(_u4511, tc_fun(_u4511, tc_HOL_Obool), tc_HOL_Obool), c_member(_u4511)), _u4512)))), hAPP(hAPP(c_COMBC(_u4511, tc_fun(_u4511, tc_HOL_Obool), tc_HOL_Obool), c_member(_u4511)), _u4513)))))))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_quotient__def ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_quotient__def-1, axiom, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u4514), _u4515), _u4516) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4514, tc_fun(tc_fun(_u4514, tc_HOL_Obool), tc_HOL_Obool)), _u4515), hAPP(hAPP(c_COMBC(_u4514, tc_fun(tc_fun(_u4514, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u4514, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u4514, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u4514, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u4514, tc_HOL_Obool), tc_HOL_Obool)), _u4514), c_Set_Oinsert(tc_fun(_u4514, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u4514, tc_HOL_Obool), tc_fun(_u4514, tc_HOL_Obool), _u4514), c_Relation_OImage(_u4514, _u4514, _u4516)), hAPP(hAPP(c_COMBC(_u4514, tc_fun(_u4514, tc_HOL_Obool), tc_fun(_u4514, tc_HOL_Obool)), c_Set_Oinsert(_u4514)), c_Orderings_Obot__class_Obot(tc_fun(_u4514, tc_HOL_Obool)))))), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u4514, tc_HOL_Obool), tc_HOL_Obool))))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_Inf__fin_Ohom__commute ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_Inf__fin_Ohom__commute-1, axiom, ( ~class_Lattices_Olattice(_u4519) | ( hAPP(_u4520, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4519), skolem82(_u4521, _u4520, _u4519)), skolem83(_u4521, _u4520, _u4519))) != hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4519), hAPP(_u4520, skolem82(_u4521, _u4520, _u4519))), hAPP(_u4520, skolem83(_u4521, _u4520, _u4519)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4519), _u4521)) | ( _u4521 = c_Orderings_Obot__class_Obot(tc_fun(_u4519, tc_HOL_Obool))) | ( hAPP(_u4520, c_Big__Operators_Olattice__class_OInf__fin(_u4519, _u4521)) = c_Big__Operators_Olattice__class_OInf__fin(_u4519, hAPP(c_Set_Oimage(_u4519, _u4519, _u4520), _u4521))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_SUP1__I ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_SUP1__I-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4522), _u4523), _u4524)) | ~hBOOL(hAPP(hAPP(_u4525, _u4523), _u4526)) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4522, tc_fun(_u4527, tc_HOL_Obool)), _u4524), _u4525), _u4526)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_SUP1__iff ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_SUP1__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4535, tc_fun(_u4537, tc_HOL_Obool)), _u4539), _u4541), _u4543)) | hBOOL(hAPP(hAPP(c_member(_u4535), skolem84(_u4543, _u4541, _u4539, _u4537, _u4535)), _u4539)) )).
% 39.89/40.05 cnf(fact_SUP1__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4535, tc_fun(_u4537, tc_HOL_Obool)), _u4539), _u4541), _u4543)) | hBOOL(hAPP(hAPP(_u4541, skolem84(_u4543, _u4541, _u4539, _u4537, _u4535)), _u4543)) )).
% 39.89/40.05 cnf(fact_SUP1__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4536), _u4529), _u4540)) | ~hBOOL(hAPP(hAPP(_u4542, _u4529), _u4544)) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4536, tc_fun(_u4538, tc_HOL_Obool)), _u4540), _u4542), _u4544)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_finite__UN ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_finite__UN-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4547), _u4548)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4549), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4547, tc_fun(_u4549, tc_HOL_Obool)), _u4548), _u4550))) | ~hBOOL(hAPP(hAPP(c_member(_u4547), _u4545), _u4548)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4549), hAPP(_u4550, _u4545))) )).
% 39.89/40.05 cnf(fact_finite__UN-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4547), _u4548)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4549), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4547, tc_fun(_u4549, tc_HOL_Obool)), _u4548), _u4550))) | hBOOL(hAPP(hAPP(c_member(_u4547), skolem85(_u4550, _u4549, _u4548, _u4547)), _u4548)) )).
% 39.89/40.05 cnf(fact_finite__UN-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4547), _u4548)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4549), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4547, tc_fun(_u4549, tc_HOL_Obool)), _u4548), _u4550))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4549), hAPP(_u4550, skolem85(_u4550, _u4549, _u4548, _u4547)))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_UN__o ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_UN__o-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4551, tc_fun(_u4552, tc_HOL_Obool)), _u4553), hAPP(c_Fun_Ocomp(_u4554, tc_fun(_u4552, tc_HOL_Obool), _u4551, _u4555), _u4556)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4554, tc_fun(_u4552, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u4551, _u4554, _u4556), _u4553)), _u4555)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_Image__UN ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_Image__UN-1, axiom, ( ( hAPP(c_Relation_OImage(_u4557, _u4558, _u4559), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4560, tc_fun(_u4557, tc_HOL_Obool)), _u4561), _u4562)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4560, tc_fun(_u4558, tc_HOL_Obool)), _u4561), hAPP(hAPP(c_COMBB(tc_fun(_u4557, tc_HOL_Obool), tc_fun(_u4558, tc_HOL_Obool), _u4560), c_Relation_OImage(_u4557, _u4558, _u4559)), _u4562))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_finite__Collect__bounded__ex ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_finite__Collect__bounded__ex-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4565), hAPP(c_Set_OCollect(_u4565), _u4566))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4567), hAPP(c_Set_OCollect(_u4567), hAPP(hAPP(c_COMBB(tc_fun(_u4565, tc_HOL_Obool), tc_HOL_Obool, _u4567), c_HOL_OEx(_u4565)), hAPP(hAPP(c_COMBB(tc_fun(_u4565, tc_HOL_Obool), tc_fun(_u4565, tc_HOL_Obool), _u4567), hAPP(c_COMBS(_u4565, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u4565), c_fconj), _u4566))), _u4568))))) | ~hBOOL(hAPP(_u4566, _u4563)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4567), hAPP(c_Set_OCollect(_u4567), hAPP(hAPP(c_COMBC(_u4567, _u4565, tc_HOL_Obool), _u4568), _u4563)))) )).
% 39.89/40.05 cnf(fact_finite__Collect__bounded__ex-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4565), hAPP(c_Set_OCollect(_u4565), _u4566))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4567), hAPP(c_Set_OCollect(_u4567), hAPP(hAPP(c_COMBB(tc_fun(_u4565, tc_HOL_Obool), tc_HOL_Obool, _u4567), c_HOL_OEx(_u4565)), hAPP(hAPP(c_COMBB(tc_fun(_u4565, tc_HOL_Obool), tc_fun(_u4565, tc_HOL_Obool), _u4567), hAPP(c_COMBS(_u4565, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u4565), c_fconj), _u4566))), _u4568))))) | hBOOL(hAPP(_u4566, skolem86(_u4568, _u4567, _u4566, _u4565))) )).
% 39.89/40.05 cnf(fact_finite__Collect__bounded__ex-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4565), hAPP(c_Set_OCollect(_u4565), _u4566))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4567), hAPP(c_Set_OCollect(_u4567), hAPP(hAPP(c_COMBB(tc_fun(_u4565, tc_HOL_Obool), tc_HOL_Obool, _u4567), c_HOL_OEx(_u4565)), hAPP(hAPP(c_COMBB(tc_fun(_u4565, tc_HOL_Obool), tc_fun(_u4565, tc_HOL_Obool), _u4567), hAPP(c_COMBS(_u4565, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u4565), c_fconj), _u4566))), _u4568))))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4567), hAPP(c_Set_OCollect(_u4567), hAPP(hAPP(c_COMBC(_u4567, _u4565, tc_HOL_Obool), _u4568), skolem86(_u4568, _u4567, _u4566, _u4565))))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_finite__image__set ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_finite__image__set-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4569), hAPP(c_Set_OCollect(_u4569), _u4570))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4571), hAPP(c_Set_OCollect(_u4571), hAPP(hAPP(c_COMBB(tc_fun(_u4569, tc_HOL_Obool), tc_HOL_Obool, _u4571), c_HOL_OEx(_u4569)), hAPP(hAPP(c_COMBC(_u4571, tc_fun(_u4569, tc_HOL_Obool), tc_fun(_u4569, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u4569, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u4569, tc_HOL_Obool), tc_fun(_u4569, tc_HOL_Obool)), _u4571), c_COMBS(_u4569, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u4569, tc_HOL_Obool), tc_fun(_u4569, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u4571), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u4569), c_fconj)), hAPP(hAPP(c_COMBC(_u4571, tc_fun(_u4569, _u4571), tc_fun(_u4569, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u4571, tc_HOL_Obool), tc_fun(tc_fun(_u4569, _u4571), tc_fun(_u4569, tc_HOL_Obool)), _u4571), c_COMBB(_u4571, tc_HOL_Obool, _u4569)), c_fequal)), _u4572)))), _u4570))))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_Image__eq__UN ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_Image__eq__UN-1, axiom, ( ( hAPP(c_Relation_OImage(_u4573, _u4574, _u4575), _u4576) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4573, tc_fun(_u4574, tc_HOL_Obool)), _u4576), hAPP(hAPP(c_COMBB(tc_fun(_u4573, tc_HOL_Obool), tc_fun(_u4574, tc_HOL_Obool), _u4573), c_Relation_OImage(_u4573, _u4574, _u4575)), hAPP(hAPP(c_COMBC(_u4573, tc_fun(_u4573, tc_HOL_Obool), tc_fun(_u4573, tc_HOL_Obool)), c_Set_Oinsert(_u4573)), c_Orderings_Obot__class_Obot(tc_fun(_u4573, tc_HOL_Obool)))))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_ran__def ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_ran__def-1, axiom, ( ( c_Map_Oran(_u4577, _u4578, _u4579) = hAPP(c_Set_OCollect(_u4578), hAPP(hAPP(c_COMBB(tc_fun(_u4577, tc_HOL_Obool), tc_HOL_Obool, _u4578), c_HOL_OEx(_u4577)), hAPP(hAPP(c_COMBB(tc_Option_Ooption(_u4578), tc_fun(_u4577, tc_HOL_Obool), _u4578), hAPP(c_COMBC(_u4577, tc_Option_Ooption(_u4578), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Option_Ooption(_u4578), tc_fun(tc_Option_Ooption(_u4578), tc_HOL_Obool), _u4577), c_fequal), _u4579))), c_Option_Ooption_OSome(_u4578))))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_Pow__Compl ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_Pow__Compl-1, axiom, ( ( hAPP(c_Set_OPow(_u4580), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4580, tc_HOL_Obool)), _u4581)) = hAPP(c_Set_OCollect(tc_fun(_u4580, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u4580, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u4580, tc_HOL_Obool)), c_HOL_OEx(tc_fun(_u4580, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(tc_fun(_u4580, tc_HOL_Obool), tc_fun(tc_fun(_u4580, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u4580, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u4580, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_fun(_u4580, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u4580, tc_HOL_Obool), tc_HOL_Obool)), tc_fun(_u4580, tc_HOL_Obool)), c_COMBS(tc_fun(_u4580, tc_HOL_Obool), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u4580, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u4580, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(_u4580, tc_HOL_Obool)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u4580, tc_HOL_Obool)), c_fconj)), hAPP(hAPP(c_COMBC(tc_fun(_u4580, tc_HOL_Obool), tc_fun(tc_fun(_u4580, tc_HOL_Obool), tc_fun(_u4580, tc_HOL_Obool)), tc_fun(tc_fun(_u4580, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u4580, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u4580, tc_HOL_Obool), tc_fun(_u4580, tc_HOL_Obool)), tc_fun(tc_fun(_u4580, tc_HOL_Obool), tc_HOL_Obool)), tc_fun(_u4580, tc_HOL_Obool)), c_COMBB(tc_fun(_u4580, tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u4580, tc_HOL_Obool))), c_fequal)), c_Groups_Ouminus__class_Ouminus(tc_fun(_u4580, tc_HOL_Obool)))))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u4580, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u4580, tc_HOL_Obool)), hAPP(c_member(tc_fun(_u4580, tc_HOL_Obool)), _u4581)), c_Set_OPow(_u4580)))))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_UN__I ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_UN__I-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4582), _u4583), _u4584)) | ~hBOOL(hAPP(hAPP(c_member(_u4585), _u4586), hAPP(_u4587, _u4583))) | hBOOL(hAPP(hAPP(c_member(_u4585), _u4586), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4582, tc_fun(_u4585, tc_HOL_Obool)), _u4584), _u4587))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_UN__Pow__subset ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_UN__Pow__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u4588, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4589, tc_fun(tc_fun(_u4588, tc_HOL_Obool), tc_HOL_Obool)), _u4590), hAPP(hAPP(c_COMBB(tc_fun(_u4588, tc_HOL_Obool), tc_fun(tc_fun(_u4588, tc_HOL_Obool), tc_HOL_Obool), _u4589), c_Set_OPow(_u4588)), _u4591))), hAPP(c_Set_OPow(_u4588), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4589, tc_fun(_u4588, tc_HOL_Obool)), _u4590), _u4591)))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_image__eq__UN ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_image__eq__UN-1, axiom, ( ( hAPP(c_Set_Oimage(_u4592, _u4593, _u4594), _u4595) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4592, tc_fun(_u4593, tc_HOL_Obool)), _u4595), hAPP(hAPP(c_COMBC(_u4592, tc_fun(_u4593, tc_HOL_Obool), tc_fun(_u4593, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(_u4593, tc_fun(tc_fun(_u4593, tc_HOL_Obool), tc_fun(_u4593, tc_HOL_Obool)), _u4592), c_Set_Oinsert(_u4593)), _u4594)), c_Orderings_Obot__class_Obot(tc_fun(_u4593, tc_HOL_Obool))))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_UN__equiv__class ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_UN__equiv__class-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u4596, _u4597, _u4598) | ~c_Equiv__Relations_Ocongruent(_u4596, tc_fun(_u4599, tc_HOL_Obool), _u4598, _u4600) | ~hBOOL(hAPP(hAPP(c_member(_u4596), _u4601), _u4597)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4596, tc_fun(_u4599, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u4596, _u4596, _u4598), hAPP(hAPP(c_Set_Oinsert(_u4596), _u4601), c_Orderings_Obot__class_Obot(tc_fun(_u4596, tc_HOL_Obool))))), _u4600) = hAPP(_u4600, _u4601)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_UN__equiv__class2 ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_UN__equiv__class2-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u4602, _u4603, _u4604) | ~c_Equiv__Relations_Oequiv(_u4605, _u4606, _u4607) | ~c_Equiv__Relations_Ocongruent2(_u4602, _u4605, tc_fun(_u4608, tc_HOL_Obool), _u4604, _u4607, _u4609) | ~hBOOL(hAPP(hAPP(c_member(_u4602), _u4610), _u4603)) | ~hBOOL(hAPP(hAPP(c_member(_u4605), _u4611), _u4606)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4602, tc_fun(_u4608, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u4602, _u4602, _u4604), hAPP(hAPP(c_Set_Oinsert(_u4602), _u4610), c_Orderings_Obot__class_Obot(tc_fun(_u4602, tc_HOL_Obool))))), hAPP(hAPP(c_COMBB(tc_fun(_u4605, tc_fun(_u4608, tc_HOL_Obool)), tc_fun(_u4608, tc_HOL_Obool), _u4602), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4605, tc_fun(_u4608, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u4605, _u4605, _u4607), hAPP(hAPP(c_Set_Oinsert(_u4605), _u4611), c_Orderings_Obot__class_Obot(tc_fun(_u4605, tc_HOL_Obool)))))), _u4609)) = hAPP(hAPP(_u4609, _u4610), _u4611)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_UN__insert ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_UN__insert-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4612, tc_fun(_u4613, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u4612), _u4614), _u4615)), _u4616) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4613, tc_HOL_Obool)), hAPP(_u4616, _u4614)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4612, tc_fun(_u4613, tc_HOL_Obool)), _u4615), _u4616))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_UN__extend__simps_I2_J ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_UN__extend__simps_I2_J-1, axiom, ( ( _u4622 != c_Orderings_Obot__class_Obot(tc_fun(_u4624, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4626, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4624, tc_fun(_u4626, tc_HOL_Obool)), _u4622), _u4628)), _u4630) = _u4630) )).
% 39.89/40.05 cnf(fact_UN__extend__simps_I2_J-2, axiom, ( ( _u4623 = c_Orderings_Obot__class_Obot(tc_fun(_u4625, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4627, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4625, tc_fun(_u4627, tc_HOL_Obool)), _u4623), _u4629)), _u4631) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4625, tc_fun(_u4627, tc_HOL_Obool)), _u4623), hAPP(hAPP(c_COMBC(_u4625, tc_fun(_u4627, tc_HOL_Obool), tc_fun(_u4627, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u4627, tc_HOL_Obool), tc_fun(tc_fun(_u4627, tc_HOL_Obool), tc_fun(_u4627, tc_HOL_Obool)), _u4625), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4627, tc_HOL_Obool))), _u4629)), _u4631))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_UN__extend__simps_I3_J ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_UN__extend__simps_I3_J-1, axiom, ( ( _u4637 != c_Orderings_Obot__class_Obot(tc_fun(_u4639, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4641, tc_HOL_Obool)), _u4643), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4639, tc_fun(_u4641, tc_HOL_Obool)), _u4637), _u4645)) = _u4643) )).
% 39.89/40.05 cnf(fact_UN__extend__simps_I3_J-2, axiom, ( ( _u4638 = c_Orderings_Obot__class_Obot(tc_fun(_u4640, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4642, tc_HOL_Obool)), _u4644), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4640, tc_fun(_u4642, tc_HOL_Obool)), _u4638), _u4646)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4640, tc_fun(_u4642, tc_HOL_Obool)), _u4638), hAPP(hAPP(c_COMBB(tc_fun(_u4642, tc_HOL_Obool), tc_fun(_u4642, tc_HOL_Obool), _u4640), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4642, tc_HOL_Obool)), _u4644)), _u4646))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_congruent2__implies__congruent ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_congruent2__implies__congruent-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u4647, _u4648, _u4649) | ~c_Equiv__Relations_Ocongruent2(_u4647, _u4650, _u4651, _u4649, _u4652, _u4653) | ~hBOOL(hAPP(hAPP(c_member(_u4647), _u4654), _u4648)) | c_Equiv__Relations_Ocongruent(_u4650, _u4651, _u4652, hAPP(_u4653, _u4654)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_ball__UN ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_ball__UN-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4668), _u4657), _u4670)) | ~hBOOL(hAPP(hAPP(c_member(_u4666), _u4656), hAPP(_u4672, _u4657))) | hBOOL(hAPP(_u4674, _u4656)) | hBOOL(hAPP(hAPP(c_member(_u4666), skolem87(_u4674, _u4672, _u4670, _u4668, _u4666)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4668, tc_fun(_u4666, tc_HOL_Obool)), _u4670), _u4672))) )).
% 39.89/40.05 cnf(fact_ball__UN-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4668), _u4657), _u4670)) | ~hBOOL(hAPP(hAPP(c_member(_u4666), _u4656), hAPP(_u4672, _u4657))) | hBOOL(hAPP(_u4674, _u4656)) | ~hBOOL(hAPP(_u4674, skolem87(_u4674, _u4672, _u4670, _u4668, _u4666))) )).
% 39.89/40.05 cnf(fact_ball__UN-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4667), _u4660), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4669, tc_fun(_u4667, tc_HOL_Obool)), _u4671), _u4673))) | hBOOL(hAPP(_u4675, _u4660)) | hBOOL(hAPP(hAPP(c_member(_u4669), skolem88(_u4675, _u4673, _u4671, _u4669, _u4667)), _u4671)) )).
% 39.89/40.05 cnf(fact_ball__UN-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4667), _u4660), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4669, tc_fun(_u4667, tc_HOL_Obool)), _u4671), _u4673))) | hBOOL(hAPP(_u4675, _u4660)) | hBOOL(hAPP(hAPP(c_member(_u4667), skolem89(_u4675, _u4673, _u4671, _u4669, _u4667)), hAPP(_u4673, skolem88(_u4675, _u4673, _u4671, _u4669, _u4667)))) )).
% 39.89/40.05 cnf(fact_ball__UN-5, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4667), _u4660), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4669, tc_fun(_u4667, tc_HOL_Obool)), _u4671), _u4673))) | hBOOL(hAPP(_u4675, _u4660)) | ~hBOOL(hAPP(_u4675, skolem89(_u4675, _u4673, _u4671, _u4669, _u4667))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_SUP__commute ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_SUP__commute-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u4676) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4677, _u4676), _u4678), hAPP(hAPP(c_COMBB(tc_fun(_u4679, _u4676), _u4676, _u4677), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4679, _u4676), _u4680)), _u4681)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4679, _u4676), _u4680), hAPP(hAPP(c_COMBB(tc_fun(_u4677, _u4676), _u4676, _u4679), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4677, _u4676), _u4678)), hAPP(c_COMBC(_u4677, _u4679, _u4676), _u4681)))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_UN__extend__simps_I9_J ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_UN__extend__simps_I9_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4682, tc_fun(_u4683, tc_HOL_Obool)), _u4684), hAPP(hAPP(c_COMBC(_u4682, tc_fun(_u4685, tc_fun(_u4683, tc_HOL_Obool)), tc_fun(_u4683, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u4685, tc_HOL_Obool), tc_fun(tc_fun(_u4685, tc_fun(_u4683, tc_HOL_Obool)), tc_fun(_u4683, tc_HOL_Obool)), _u4682), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4685, tc_fun(_u4683, tc_HOL_Obool))), _u4686)), _u4687)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4685, tc_fun(_u4683, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4682, tc_fun(_u4685, tc_HOL_Obool)), _u4684), _u4686)), _u4687)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_UN__simps_I9_J ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_UN__simps_I9_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4688, tc_fun(_u4689, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4690, tc_fun(_u4688, tc_HOL_Obool)), _u4691), _u4692)), _u4693) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4690, tc_fun(_u4689, tc_HOL_Obool)), _u4691), hAPP(hAPP(c_COMBC(_u4690, tc_fun(_u4688, tc_fun(_u4689, tc_HOL_Obool)), tc_fun(_u4689, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u4688, tc_HOL_Obool), tc_fun(tc_fun(_u4688, tc_fun(_u4689, tc_HOL_Obool)), tc_fun(_u4689, tc_HOL_Obool)), _u4690), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4688, tc_fun(_u4689, tc_HOL_Obool))), _u4692)), _u4693))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_UN__UN__flatten ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_UN__UN__flatten-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4694, tc_fun(_u4695, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4696, tc_fun(_u4694, tc_HOL_Obool)), _u4697), _u4698)), _u4699) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4696, tc_fun(_u4695, tc_HOL_Obool)), _u4697), hAPP(hAPP(c_COMBC(_u4696, tc_fun(_u4694, tc_fun(_u4695, tc_HOL_Obool)), tc_fun(_u4695, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u4694, tc_HOL_Obool), tc_fun(tc_fun(_u4694, tc_fun(_u4695, tc_HOL_Obool)), tc_fun(_u4695, tc_HOL_Obool)), _u4696), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4694, tc_fun(_u4695, tc_HOL_Obool))), _u4698)), _u4699))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_congruent2__implies__congruent__UN ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_congruent2__implies__congruent__UN-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u4700, _u4701, _u4702) | ~c_Equiv__Relations_Oequiv(_u4703, _u4704, _u4705) | ~c_Equiv__Relations_Ocongruent2(_u4700, _u4703, tc_fun(_u4706, tc_HOL_Obool), _u4702, _u4705, _u4707) | ~hBOOL(hAPP(hAPP(c_member(_u4703), _u4708), _u4704)) | c_Equiv__Relations_Ocongruent(_u4700, tc_fun(_u4706, tc_HOL_Obool), _u4702, hAPP(hAPP(c_COMBB(tc_fun(_u4703, tc_fun(_u4706, tc_HOL_Obool)), tc_fun(_u4706, tc_HOL_Obool), _u4700), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4703, tc_fun(_u4706, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u4703, _u4703, _u4705), hAPP(hAPP(c_Set_Oinsert(_u4703), _u4708), c_Orderings_Obot__class_Obot(tc_fun(_u4703, tc_HOL_Obool)))))), _u4707)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_SUP__le__iff ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_SUP__le__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u4711) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4711), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4712, _u4711), _u4713), _u4714)), _u4715)) | ~hBOOL(hAPP(hAPP(c_member(_u4712), _u4709), _u4713)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4711), hAPP(_u4714, _u4709)), _u4715)) )).
% 39.89/40.05 cnf(fact_SUP__le__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u4711) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4711), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4712, _u4711), _u4713), _u4714)), _u4715)) | hBOOL(hAPP(hAPP(c_member(_u4712), skolem90(_u4715, _u4714, _u4713, _u4712, _u4711)), _u4713)) )).
% 39.89/40.05 cnf(fact_SUP__le__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u4711) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4711), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4712, _u4711), _u4713), _u4714)), _u4715)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4711), hAPP(_u4714, skolem90(_u4715, _u4714, _u4713, _u4712, _u4711))), _u4715)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_less__SUP__iff ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_less__SUP__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u4718) | ~class_Orderings_Olinorder(_u4718) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4718), _u4719), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4720, _u4718), _u4721), _u4722))) | hBOOL(hAPP(hAPP(c_member(_u4720), skolem91(_u4722, _u4721, _u4720, _u4719, _u4718)), _u4721)) )).
% 39.89/40.05 cnf(fact_less__SUP__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u4718) | ~class_Orderings_Olinorder(_u4718) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4718), _u4719), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4720, _u4718), _u4721), _u4722))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4718), _u4719), hAPP(_u4722, skolem91(_u4722, _u4721, _u4720, _u4719, _u4718)))) )).
% 39.89/40.05 cnf(fact_less__SUP__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u4718) | ~class_Orderings_Olinorder(_u4718) | ~hBOOL(hAPP(hAPP(c_member(_u4720), _u4717), _u4721)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4718), _u4719), hAPP(_u4722, _u4717))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4718), _u4719), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4720, _u4718), _u4721), _u4722))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_UN__iff ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_UN__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4730), _u4732), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4734, tc_fun(_u4730, tc_HOL_Obool)), _u4736), _u4738))) | hBOOL(hAPP(hAPP(c_member(_u4734), skolem92(_u4738, _u4736, _u4734, _u4732, _u4730)), _u4736)) )).
% 39.89/40.05 cnf(fact_UN__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4730), _u4732), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4734, tc_fun(_u4730, tc_HOL_Obool)), _u4736), _u4738))) | hBOOL(hAPP(hAPP(c_member(_u4730), _u4732), hAPP(_u4738, skolem92(_u4738, _u4736, _u4734, _u4732, _u4730)))) )).
% 39.89/40.05 cnf(fact_UN__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4735), _u4724), _u4737)) | ~hBOOL(hAPP(hAPP(c_member(_u4731), _u4733), hAPP(_u4739, _u4724))) | hBOOL(hAPP(hAPP(c_member(_u4731), _u4733), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4735, tc_fun(_u4731, tc_HOL_Obool)), _u4737), _u4739))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_SUP__const ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_SUP__const-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u4740) | ( _u4741 = c_Orderings_Obot__class_Obot(tc_fun(_u4742, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4742, _u4740), _u4741), hAPP(c_COMBK(_u4740, _u4742), _u4743)) = _u4743) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_UNION__empty__conv_I2_J ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_UNION__empty__conv_I2_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4750, tc_fun(_u4752, tc_HOL_Obool)), _u4754), _u4756) != c_Orderings_Obot__class_Obot(tc_fun(_u4752, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u4750), _u4744), _u4754)) | ( hAPP(_u4756, _u4744) = c_Orderings_Obot__class_Obot(tc_fun(_u4752, tc_HOL_Obool))) )).
% 39.89/40.05 cnf(fact_UNION__empty__conv_I2_J-2, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4751, tc_fun(_u4753, tc_HOL_Obool)), _u4755), _u4757) = c_Orderings_Obot__class_Obot(tc_fun(_u4753, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u4751), skolem93(_u4757, _u4755, _u4753, _u4751)), _u4755)) )).
% 39.89/40.05 cnf(fact_UNION__empty__conv_I2_J-3, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4751, tc_fun(_u4753, tc_HOL_Obool)), _u4755), _u4757) = c_Orderings_Obot__class_Obot(tc_fun(_u4753, tc_HOL_Obool))) | ( hAPP(_u4757, skolem93(_u4757, _u4755, _u4753, _u4751)) != c_Orderings_Obot__class_Obot(tc_fun(_u4753, tc_HOL_Obool))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_UN__constant ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_UN__constant-1, axiom, ( ( _u4762 != c_Orderings_Obot__class_Obot(tc_fun(_u4764, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4764, tc_fun(_u4766, tc_HOL_Obool)), _u4762), hAPP(c_COMBK(tc_fun(_u4766, tc_HOL_Obool), _u4764), _u4768)) = c_Orderings_Obot__class_Obot(tc_fun(_u4766, tc_HOL_Obool))) )).
% 39.89/40.05 cnf(fact_UN__constant-2, axiom, ( ( _u4763 = c_Orderings_Obot__class_Obot(tc_fun(_u4765, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4765, tc_fun(_u4767, tc_HOL_Obool)), _u4763), hAPP(c_COMBK(tc_fun(_u4767, tc_HOL_Obool), _u4765), _u4769)) = _u4769) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_UN__empty2 ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_UN__empty2-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4770, tc_fun(_u4771, tc_HOL_Obool)), _u4772), hAPP(c_COMBK(tc_fun(_u4771, tc_HOL_Obool), _u4770), c_Orderings_Obot__class_Obot(tc_fun(_u4771, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u4771, tc_HOL_Obool))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_UNION__empty__conv_I1_J ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_UNION__empty__conv_I1_J-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u4779, tc_HOL_Obool)) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4781, tc_fun(_u4779, tc_HOL_Obool)), _u4783), _u4785)) | ~hBOOL(hAPP(hAPP(c_member(_u4781), _u4773), _u4783)) | ( hAPP(_u4785, _u4773) = c_Orderings_Obot__class_Obot(tc_fun(_u4779, tc_HOL_Obool))) )).
% 39.89/40.05 cnf(fact_UNION__empty__conv_I1_J-2, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u4780, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4782, tc_fun(_u4780, tc_HOL_Obool)), _u4784), _u4786)) | hBOOL(hAPP(hAPP(c_member(_u4782), skolem94(_u4786, _u4784, _u4782, _u4780)), _u4784)) )).
% 39.89/40.05 cnf(fact_UNION__empty__conv_I1_J-3, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u4780, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4782, tc_fun(_u4780, tc_HOL_Obool)), _u4784), _u4786)) | ( hAPP(_u4786, skolem94(_u4786, _u4784, _u4782, _u4780)) != c_Orderings_Obot__class_Obot(tc_fun(_u4780, tc_HOL_Obool))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_UN__subset__iff ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_UN__subset__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4794, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4796, tc_fun(_u4794, tc_HOL_Obool)), _u4798), _u4800)), _u4802)) | ~hBOOL(hAPP(hAPP(c_member(_u4796), _u4787), _u4798)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4794, tc_HOL_Obool)), hAPP(_u4800, _u4787)), _u4802)) )).
% 39.89/40.05 cnf(fact_UN__subset__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4795, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4797, tc_fun(_u4795, tc_HOL_Obool)), _u4799), _u4801)), _u4803)) | hBOOL(hAPP(hAPP(c_member(_u4797), skolem95(_u4803, _u4801, _u4799, _u4797, _u4795)), _u4799)) )).
% 39.89/40.05 cnf(fact_UN__subset__iff-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4795, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4797, tc_fun(_u4795, tc_HOL_Obool)), _u4799), _u4801)), _u4803)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4795, tc_HOL_Obool)), hAPP(_u4801, skolem95(_u4803, _u4801, _u4799, _u4797, _u4795))), _u4803)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_UN__extend__simps_I10_J ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_UN__extend__simps_I10_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4804, tc_fun(_u4805, tc_HOL_Obool)), _u4806), hAPP(hAPP(c_COMBB(_u4807, tc_fun(_u4805, tc_HOL_Obool), _u4804), _u4808), _u4809)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4807, tc_fun(_u4805, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u4804, _u4807, _u4809), _u4806)), _u4808)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_image__UN ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_image__UN-1, axiom, ( ( hAPP(c_Set_Oimage(_u4810, _u4811, _u4812), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4813, tc_fun(_u4810, tc_HOL_Obool)), _u4814), _u4815)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4813, tc_fun(_u4811, tc_HOL_Obool)), _u4814), hAPP(hAPP(c_COMBB(tc_fun(_u4810, tc_HOL_Obool), tc_fun(_u4811, tc_HOL_Obool), _u4813), c_Set_Oimage(_u4810, _u4811, _u4812)), _u4815))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_UN__simps_I10_J ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_UN__simps_I10_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4816, tc_fun(_u4817, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u4818, _u4816, _u4819), _u4820)), _u4821) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4818, tc_fun(_u4817, tc_HOL_Obool)), _u4820), hAPP(hAPP(c_COMBB(_u4816, tc_fun(_u4817, tc_HOL_Obool), _u4818), _u4821), _u4819))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_UN__Un__distrib ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_UN__Un__distrib-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4822, tc_fun(_u4823, tc_HOL_Obool)), _u4824), hAPP(hAPP(c_COMBS(_u4822, tc_fun(_u4823, tc_HOL_Obool), tc_fun(_u4823, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u4823, tc_HOL_Obool), tc_fun(tc_fun(_u4823, tc_HOL_Obool), tc_fun(_u4823, tc_HOL_Obool)), _u4822), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4823, tc_HOL_Obool))), _u4825)), _u4826)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4823, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4822, tc_fun(_u4823, tc_HOL_Obool)), _u4824), _u4825)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4822, tc_fun(_u4823, tc_HOL_Obool)), _u4824), _u4826))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_UN__Un ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_UN__Un-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4827, tc_fun(_u4828, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4827, tc_HOL_Obool)), _u4829), _u4830)), _u4831) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4828, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4827, tc_fun(_u4828, tc_HOL_Obool)), _u4829), _u4831)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4827, tc_fun(_u4828, tc_HOL_Obool)), _u4830), _u4831))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_UN__simps_I5_J ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_UN__simps_I5_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4832, tc_fun(_u4833, tc_HOL_Obool)), _u4834), hAPP(hAPP(c_COMBB(tc_fun(_u4833, tc_HOL_Obool), tc_fun(_u4833, tc_HOL_Obool), _u4832), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4833, tc_HOL_Obool)), _u4835)), _u4836)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4833, tc_HOL_Obool)), _u4835), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4832, tc_fun(_u4833, tc_HOL_Obool)), _u4834), _u4836))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_UN__simps_I4_J ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_UN__simps_I4_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4837, tc_fun(_u4838, tc_HOL_Obool)), _u4839), hAPP(hAPP(c_COMBC(_u4837, tc_fun(_u4838, tc_HOL_Obool), tc_fun(_u4838, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u4838, tc_HOL_Obool), tc_fun(tc_fun(_u4838, tc_HOL_Obool), tc_fun(_u4838, tc_HOL_Obool)), _u4837), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4838, tc_HOL_Obool))), _u4840)), _u4841)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4838, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4837, tc_fun(_u4838, tc_HOL_Obool)), _u4839), _u4840)), _u4841)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_UN__extend__simps_I5_J ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_UN__extend__simps_I5_J-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4842, tc_HOL_Obool)), _u4843), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4844, tc_fun(_u4842, tc_HOL_Obool)), _u4845), _u4846)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4844, tc_fun(_u4842, tc_HOL_Obool)), _u4845), hAPP(hAPP(c_COMBB(tc_fun(_u4842, tc_HOL_Obool), tc_fun(_u4842, tc_HOL_Obool), _u4844), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4842, tc_HOL_Obool)), _u4843)), _u4846))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_Int__UN__distrib ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_Int__UN__distrib-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4847, tc_HOL_Obool)), _u4848), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4849, tc_fun(_u4847, tc_HOL_Obool)), _u4850), _u4851)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4849, tc_fun(_u4847, tc_HOL_Obool)), _u4850), hAPP(hAPP(c_COMBB(tc_fun(_u4847, tc_HOL_Obool), tc_fun(_u4847, tc_HOL_Obool), _u4849), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4847, tc_HOL_Obool)), _u4848)), _u4851))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_UN__extend__simps_I4_J ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_UN__extend__simps_I4_J-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4852, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4853, tc_fun(_u4852, tc_HOL_Obool)), _u4854), _u4855)), _u4856) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4853, tc_fun(_u4852, tc_HOL_Obool)), _u4854), hAPP(hAPP(c_COMBC(_u4853, tc_fun(_u4852, tc_HOL_Obool), tc_fun(_u4852, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u4852, tc_HOL_Obool), tc_fun(tc_fun(_u4852, tc_HOL_Obool), tc_fun(_u4852, tc_HOL_Obool)), _u4853), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4852, tc_HOL_Obool))), _u4855)), _u4856))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_Int__UN__distrib2 ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_Int__UN__distrib2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4857, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4858, tc_fun(_u4857, tc_HOL_Obool)), _u4859), _u4860)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4861, tc_fun(_u4857, tc_HOL_Obool)), _u4862), _u4863)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4858, tc_fun(_u4857, tc_HOL_Obool)), _u4859), hAPP(hAPP(c_COMBB(tc_fun(_u4861, tc_fun(_u4857, tc_HOL_Obool)), tc_fun(_u4857, tc_HOL_Obool), _u4858), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4861, tc_fun(_u4857, tc_HOL_Obool)), _u4862)), hAPP(hAPP(c_COMBC(_u4858, tc_fun(_u4861, tc_fun(_u4857, tc_HOL_Obool)), tc_fun(_u4861, tc_fun(_u4857, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u4857, tc_HOL_Obool), tc_fun(_u4857, tc_HOL_Obool)), tc_fun(tc_fun(_u4861, tc_fun(_u4857, tc_HOL_Obool)), tc_fun(_u4861, tc_fun(_u4857, tc_HOL_Obool))), _u4858), c_COMBB(tc_fun(_u4857, tc_HOL_Obool), tc_fun(_u4857, tc_HOL_Obool), _u4861)), hAPP(hAPP(c_COMBB(tc_fun(_u4857, tc_HOL_Obool), tc_fun(tc_fun(_u4857, tc_HOL_Obool), tc_fun(_u4857, tc_HOL_Obool)), _u4858), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4857, tc_HOL_Obool))), _u4860))), _u4863)))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_SUPR__apply ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_SUPR__apply-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u4864) | ( hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4865, tc_fun(_u4866, _u4864)), _u4867), _u4868), _u4869) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4865, _u4864), _u4867), hAPP(hAPP(c_COMBC(_u4865, _u4866, _u4864), _u4868), _u4869))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_UN__simps_I6_J ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_UN__simps_I6_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4870, tc_fun(_u4871, tc_HOL_Obool)), _u4872), hAPP(hAPP(c_COMBC(_u4870, tc_fun(_u4871, tc_HOL_Obool), tc_fun(_u4871, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u4871, tc_HOL_Obool), tc_fun(tc_fun(_u4871, tc_HOL_Obool), tc_fun(_u4871, tc_HOL_Obool)), _u4870), c_Groups_Ominus__class_Ominus(tc_fun(_u4871, tc_HOL_Obool))), _u4873)), _u4874)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4871, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4870, tc_fun(_u4871, tc_HOL_Obool)), _u4872), _u4873)), _u4874)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_UN__extend__simps_I6_J ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_UN__extend__simps_I6_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4875, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4876, tc_fun(_u4875, tc_HOL_Obool)), _u4877), _u4878)), _u4879) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4876, tc_fun(_u4875, tc_HOL_Obool)), _u4877), hAPP(hAPP(c_COMBC(_u4876, tc_fun(_u4875, tc_HOL_Obool), tc_fun(_u4875, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u4875, tc_HOL_Obool), tc_fun(tc_fun(_u4875, tc_HOL_Obool), tc_fun(_u4875, tc_HOL_Obool)), _u4876), c_Groups_Ominus__class_Ominus(tc_fun(_u4875, tc_HOL_Obool))), _u4878)), _u4879))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_SUP__subset ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_SUP__subset-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u4880) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4881, tc_HOL_Obool)), _u4882), _u4883)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4880), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4881, _u4880), _u4882), _u4884)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4881, _u4880), _u4883), _u4884))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_le__SUPI ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_le__SUPI-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u4885) | ~hBOOL(hAPP(hAPP(c_member(_u4886), _u4887), _u4888)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4885), hAPP(_u4889, _u4887)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4886, _u4885), _u4888), _u4889))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_UN__insert__distrib ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_UN__insert__distrib-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4890), _u4891), _u4892)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4890, tc_fun(_u4893, tc_HOL_Obool)), _u4892), hAPP(hAPP(c_COMBB(tc_fun(_u4893, tc_HOL_Obool), tc_fun(_u4893, tc_HOL_Obool), _u4890), hAPP(c_Set_Oinsert(_u4893), _u4894)), _u4895)) = hAPP(hAPP(c_Set_Oinsert(_u4893), _u4894), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4890, tc_fun(_u4893, tc_HOL_Obool)), _u4892), _u4895))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_UN__upper ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_UN__upper-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4896), _u4897), _u4898)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4899, tc_HOL_Obool)), hAPP(_u4900, _u4897)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4896, tc_fun(_u4899, tc_HOL_Obool)), _u4898), _u4900))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_UN__absorb ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_UN__absorb-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4901), _u4902), _u4903)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4904, tc_HOL_Obool)), hAPP(_u4905, _u4902)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4901, tc_fun(_u4904, tc_HOL_Obool)), _u4903), _u4905)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4901, tc_fun(_u4904, tc_HOL_Obool)), _u4903), _u4905)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_UN__extend__simps_I1_J ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_UN__extend__simps_I1_J-1, axiom, ( ( _u4911 != c_Orderings_Obot__class_Obot(tc_fun(_u4913, tc_HOL_Obool))) | ( hAPP(hAPP(c_Set_Oinsert(_u4915), _u4917), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4913, tc_fun(_u4915, tc_HOL_Obool)), _u4911), _u4919)) = hAPP(hAPP(c_Set_Oinsert(_u4915), _u4917), c_Orderings_Obot__class_Obot(tc_fun(_u4915, tc_HOL_Obool)))) )).
% 39.89/40.05 cnf(fact_UN__extend__simps_I1_J-2, axiom, ( ( _u4912 = c_Orderings_Obot__class_Obot(tc_fun(_u4914, tc_HOL_Obool))) | ( hAPP(hAPP(c_Set_Oinsert(_u4916), _u4918), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4914, tc_fun(_u4916, tc_HOL_Obool)), _u4912), _u4920)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4914, tc_fun(_u4916, tc_HOL_Obool)), _u4912), hAPP(hAPP(c_COMBB(tc_fun(_u4916, tc_HOL_Obool), tc_fun(_u4916, tc_HOL_Obool), _u4914), hAPP(c_Set_Oinsert(_u4916), _u4918)), _u4920))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_UN__singleton ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_UN__singleton-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4921, tc_fun(_u4921, tc_HOL_Obool)), _u4922), hAPP(hAPP(c_COMBC(_u4921, tc_fun(_u4921, tc_HOL_Obool), tc_fun(_u4921, tc_HOL_Obool)), c_Set_Oinsert(_u4921)), c_Orderings_Obot__class_Obot(tc_fun(_u4921, tc_HOL_Obool)))) = _u4922) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_UN__simps_I1_J ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_UN__simps_I1_J-1, axiom, ( ( _u4928 != c_Orderings_Obot__class_Obot(tc_fun(_u4930, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4930, tc_fun(_u4932, tc_HOL_Obool)), _u4928), hAPP(hAPP(c_COMBB(tc_fun(_u4932, tc_HOL_Obool), tc_fun(_u4932, tc_HOL_Obool), _u4930), hAPP(c_Set_Oinsert(_u4932), _u4934)), _u4936)) = c_Orderings_Obot__class_Obot(tc_fun(_u4932, tc_HOL_Obool))) )).
% 39.89/40.05 cnf(fact_UN__simps_I1_J-2, axiom, ( ( _u4929 = c_Orderings_Obot__class_Obot(tc_fun(_u4931, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4931, tc_fun(_u4933, tc_HOL_Obool)), _u4929), hAPP(hAPP(c_COMBB(tc_fun(_u4933, tc_HOL_Obool), tc_fun(_u4933, tc_HOL_Obool), _u4931), hAPP(c_Set_Oinsert(_u4933), _u4935)), _u4937)) = hAPP(hAPP(c_Set_Oinsert(_u4933), _u4935), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4931, tc_fun(_u4933, tc_HOL_Obool)), _u4929), _u4937))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_UN__simps_I3_J ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_UN__simps_I3_J-1, axiom, ( ( _u4943 != c_Orderings_Obot__class_Obot(tc_fun(_u4945, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4945, tc_fun(_u4947, tc_HOL_Obool)), _u4943), hAPP(hAPP(c_COMBB(tc_fun(_u4947, tc_HOL_Obool), tc_fun(_u4947, tc_HOL_Obool), _u4945), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4947, tc_HOL_Obool)), _u4949)), _u4951)) = c_Orderings_Obot__class_Obot(tc_fun(_u4947, tc_HOL_Obool))) )).
% 39.89/40.05 cnf(fact_UN__simps_I3_J-2, axiom, ( ( _u4944 = c_Orderings_Obot__class_Obot(tc_fun(_u4946, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4946, tc_fun(_u4948, tc_HOL_Obool)), _u4944), hAPP(hAPP(c_COMBB(tc_fun(_u4948, tc_HOL_Obool), tc_fun(_u4948, tc_HOL_Obool), _u4946), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4948, tc_HOL_Obool)), _u4950)), _u4952)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4948, tc_HOL_Obool)), _u4950), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4946, tc_fun(_u4948, tc_HOL_Obool)), _u4944), _u4952))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_UN__simps_I2_J ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_UN__simps_I2_J-1, axiom, ( ( _u4958 != c_Orderings_Obot__class_Obot(tc_fun(_u4960, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4960, tc_fun(_u4962, tc_HOL_Obool)), _u4958), hAPP(hAPP(c_COMBC(_u4960, tc_fun(_u4962, tc_HOL_Obool), tc_fun(_u4962, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u4962, tc_HOL_Obool), tc_fun(tc_fun(_u4962, tc_HOL_Obool), tc_fun(_u4962, tc_HOL_Obool)), _u4960), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4962, tc_HOL_Obool))), _u4964)), _u4966)) = c_Orderings_Obot__class_Obot(tc_fun(_u4962, tc_HOL_Obool))) )).
% 39.89/40.05 cnf(fact_UN__simps_I2_J-2, axiom, ( ( _u4959 = c_Orderings_Obot__class_Obot(tc_fun(_u4961, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4961, tc_fun(_u4963, tc_HOL_Obool)), _u4959), hAPP(hAPP(c_COMBC(_u4961, tc_fun(_u4963, tc_HOL_Obool), tc_fun(_u4963, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u4963, tc_HOL_Obool), tc_fun(tc_fun(_u4963, tc_HOL_Obool), tc_fun(_u4963, tc_HOL_Obool)), _u4961), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4963, tc_HOL_Obool))), _u4965)), _u4967)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4963, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4961, tc_fun(_u4963, tc_HOL_Obool)), _u4959), _u4965)), _u4967)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_UN__equiv__class__type2 ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_UN__equiv__class__type2-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u4970, _u4971, _u4972) | ~c_Equiv__Relations_Oequiv(_u4973, _u4974, _u4975) | ~c_Equiv__Relations_Ocongruent2(_u4970, _u4973, tc_fun(_u4976, tc_HOL_Obool), _u4972, _u4975, _u4977) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u4970, tc_HOL_Obool)), _u4978), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u4970), _u4971), _u4972))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u4973, tc_HOL_Obool)), _u4979), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u4973), _u4974), _u4975))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u4976, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4970, tc_fun(_u4976, tc_HOL_Obool)), _u4978), hAPP(hAPP(c_COMBB(tc_fun(_u4973, tc_fun(_u4976, tc_HOL_Obool)), tc_fun(_u4976, tc_HOL_Obool), _u4970), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4973, tc_fun(_u4976, tc_HOL_Obool)), _u4979)), _u4977))), _u4980)) | hBOOL(hAPP(hAPP(c_member(_u4970), skolem96(_u4980, _u4979, _u4978, _u4977, _u4976, _u4975, _u4974, _u4973, _u4972, _u4971, _u4970)), _u4971)) )).
% 39.89/40.05 cnf(fact_UN__equiv__class__type2-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u4970, _u4971, _u4972) | ~c_Equiv__Relations_Oequiv(_u4973, _u4974, _u4975) | ~c_Equiv__Relations_Ocongruent2(_u4970, _u4973, tc_fun(_u4976, tc_HOL_Obool), _u4972, _u4975, _u4977) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u4970, tc_HOL_Obool)), _u4978), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u4970), _u4971), _u4972))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u4973, tc_HOL_Obool)), _u4979), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u4973), _u4974), _u4975))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u4976, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4970, tc_fun(_u4976, tc_HOL_Obool)), _u4978), hAPP(hAPP(c_COMBB(tc_fun(_u4973, tc_fun(_u4976, tc_HOL_Obool)), tc_fun(_u4976, tc_HOL_Obool), _u4970), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4973, tc_fun(_u4976, tc_HOL_Obool)), _u4979)), _u4977))), _u4980)) | hBOOL(hAPP(hAPP(c_member(_u4973), skolem97(_u4980, _u4979, _u4978, _u4977, _u4976, _u4975, _u4974, _u4973, _u4972, _u4971, _u4970)), _u4974)) )).
% 39.89/40.05 cnf(fact_UN__equiv__class__type2-3, axiom, ( ~c_Equiv__Relations_Oequiv(_u4970, _u4971, _u4972) | ~c_Equiv__Relations_Oequiv(_u4973, _u4974, _u4975) | ~c_Equiv__Relations_Ocongruent2(_u4970, _u4973, tc_fun(_u4976, tc_HOL_Obool), _u4972, _u4975, _u4977) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u4970, tc_HOL_Obool)), _u4978), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u4970), _u4971), _u4972))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u4973, tc_HOL_Obool)), _u4979), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u4973), _u4974), _u4975))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u4976, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4970, tc_fun(_u4976, tc_HOL_Obool)), _u4978), hAPP(hAPP(c_COMBB(tc_fun(_u4973, tc_fun(_u4976, tc_HOL_Obool)), tc_fun(_u4976, tc_HOL_Obool), _u4970), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4973, tc_fun(_u4976, tc_HOL_Obool)), _u4979)), _u4977))), _u4980)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u4976, tc_HOL_Obool)), hAPP(hAPP(_u4977, skolem96(_u4980, _u4979, _u4978, _u4977, _u4976, _u4975, _u4974, _u4973, _u4972, _u4971, _u4970)), skolem97(_u4980, _u4979, _u4978, _u4977, _u4976, _u4975, _u4974, _u4973, _u4972, _u4971, _u4970))), _u4980)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_UN__equiv__class__type ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_UN__equiv__class__type-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u4982, _u4983, _u4984) | ~c_Equiv__Relations_Ocongruent(_u4982, tc_fun(_u4985, tc_HOL_Obool), _u4984, _u4986) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u4982, tc_HOL_Obool)), _u4987), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u4982), _u4983), _u4984))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u4985, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4982, tc_fun(_u4985, tc_HOL_Obool)), _u4987), _u4986)), _u4988)) | hBOOL(hAPP(hAPP(c_member(_u4982), skolem98(_u4988, _u4987, _u4986, _u4985, _u4984, _u4983, _u4982)), _u4983)) )).
% 39.89/40.05 cnf(fact_UN__equiv__class__type-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u4982, _u4983, _u4984) | ~c_Equiv__Relations_Ocongruent(_u4982, tc_fun(_u4985, tc_HOL_Obool), _u4984, _u4986) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u4982, tc_HOL_Obool)), _u4987), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u4982), _u4983), _u4984))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u4985, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4982, tc_fun(_u4985, tc_HOL_Obool)), _u4987), _u4986)), _u4988)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u4985, tc_HOL_Obool)), hAPP(_u4986, skolem98(_u4988, _u4987, _u4986, _u4985, _u4984, _u4983, _u4982))), _u4988)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_Sup__fin_Ohom__commute ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_Sup__fin_Ohom__commute-1, axiom, ( ~class_Lattices_Olattice(_u4991) | ( hAPP(_u4992, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4991), skolem99(_u4993, _u4992, _u4991)), skolem100(_u4993, _u4992, _u4991))) != hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4991), hAPP(_u4992, skolem99(_u4993, _u4992, _u4991))), hAPP(_u4992, skolem100(_u4993, _u4992, _u4991)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4991), _u4993)) | ( _u4993 = c_Orderings_Obot__class_Obot(tc_fun(_u4991, tc_HOL_Obool))) | ( hAPP(_u4992, c_Big__Operators_Olattice__class_OSup__fin(_u4991, _u4993)) = c_Big__Operators_Olattice__class_OSup__fin(_u4991, hAPP(c_Set_Oimage(_u4991, _u4991, _u4992), _u4993))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_equiv__class__nondisjoint ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_equiv__class__nondisjoint-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u4994, _u4995, _u4996) | ~hBOOL(hAPP(hAPP(c_member(_u4994), _u4997), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4994, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u4994, _u4994, _u4996), hAPP(hAPP(c_Set_Oinsert(_u4994), _u4998), c_Orderings_Obot__class_Obot(tc_fun(_u4994, tc_HOL_Obool))))), hAPP(c_Relation_OImage(_u4994, _u4994, _u4996), hAPP(hAPP(c_Set_Oinsert(_u4994), _u4999), c_Orderings_Obot__class_Obot(tc_fun(_u4994, tc_HOL_Obool))))))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u4994, _u4994)), hAPP(hAPP(c_Product__Type_OPair(_u4994, _u4994), _u4998), _u4999)), _u4996)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_subset__equiv__class ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_subset__equiv__class-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u5000, _u5001, _u5002) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5000, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u5000, _u5000, _u5002), hAPP(hAPP(c_Set_Oinsert(_u5000), _u5003), c_Orderings_Obot__class_Obot(tc_fun(_u5000, tc_HOL_Obool))))), hAPP(c_Relation_OImage(_u5000, _u5000, _u5002), hAPP(hAPP(c_Set_Oinsert(_u5000), _u5004), c_Orderings_Obot__class_Obot(tc_fun(_u5000, tc_HOL_Obool)))))) | ~hBOOL(hAPP(hAPP(c_member(_u5000), _u5003), _u5001)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u5000, _u5000)), hAPP(hAPP(c_Product__Type_OPair(_u5000, _u5000), _u5004), _u5003)), _u5002)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_finite__empty__induct ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_finite__empty__induct-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5007), _u5008)) | ~hBOOL(hAPP(_u5009, _u5008)) | hBOOL(hAPP(_u5009, c_Orderings_Obot__class_Obot(tc_fun(_u5007, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u5007), skolem102(_u5009, _u5008, _u5007))) )).
% 39.89/40.05 cnf(fact_finite__empty__induct-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5007), _u5008)) | ~hBOOL(hAPP(_u5009, _u5008)) | hBOOL(hAPP(_u5009, c_Orderings_Obot__class_Obot(tc_fun(_u5007, tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(c_member(_u5007), skolem101(_u5009, _u5008, _u5007)), skolem102(_u5009, _u5008, _u5007))) )).
% 39.89/40.05 cnf(fact_finite__empty__induct-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5007), _u5008)) | ~hBOOL(hAPP(_u5009, _u5008)) | hBOOL(hAPP(_u5009, c_Orderings_Obot__class_Obot(tc_fun(_u5007, tc_HOL_Obool)))) | hBOOL(hAPP(_u5009, skolem102(_u5009, _u5008, _u5007))) )).
% 39.89/40.05 cnf(fact_finite__empty__induct-4, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5007), _u5008)) | ~hBOOL(hAPP(_u5009, _u5008)) | hBOOL(hAPP(_u5009, c_Orderings_Obot__class_Obot(tc_fun(_u5007, tc_HOL_Obool)))) | ~hBOOL(hAPP(_u5009, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5007, tc_HOL_Obool)), skolem102(_u5009, _u5008, _u5007)), hAPP(hAPP(c_Set_Oinsert(_u5007), skolem101(_u5009, _u5008, _u5007)), c_Orderings_Obot__class_Obot(tc_fun(_u5007, tc_HOL_Obool)))))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_folding__one__idem_Ounion__idem ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_folding__one__idem_Ounion__idem-1, axiom, ( ~c_Finite__Set_Ofolding__one__idem(_u5010, _u5011, _u5012) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5010), _u5013)) | ( _u5013 = c_Orderings_Obot__class_Obot(tc_fun(_u5010, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5010), _u5014)) | ( _u5014 = c_Orderings_Obot__class_Obot(tc_fun(_u5010, tc_HOL_Obool))) | ( hAPP(_u5012, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5010, tc_HOL_Obool)), _u5013), _u5014)) = hAPP(hAPP(_u5011, hAPP(_u5012, _u5013)), hAPP(_u5012, _u5014))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_finite__subset__induct ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_finite__subset__induct-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5017), _u5018)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5017, tc_HOL_Obool)), _u5018), _u5019)) | ~hBOOL(hAPP(_u5020, c_Orderings_Obot__class_Obot(tc_fun(_u5017, tc_HOL_Obool)))) | hBOOL(hAPP(_u5020, _u5018)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u5017), skolem104(_u5020, _u5019, _u5018, _u5017))) )).
% 39.89/40.05 cnf(fact_finite__subset__induct-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5017), _u5018)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5017, tc_HOL_Obool)), _u5018), _u5019)) | ~hBOOL(hAPP(_u5020, c_Orderings_Obot__class_Obot(tc_fun(_u5017, tc_HOL_Obool)))) | hBOOL(hAPP(_u5020, _u5018)) | hBOOL(hAPP(hAPP(c_member(_u5017), skolem103(_u5020, _u5019, _u5018, _u5017)), _u5019)) )).
% 39.89/40.05 cnf(fact_finite__subset__induct-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5017), _u5018)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5017, tc_HOL_Obool)), _u5018), _u5019)) | ~hBOOL(hAPP(_u5020, c_Orderings_Obot__class_Obot(tc_fun(_u5017, tc_HOL_Obool)))) | hBOOL(hAPP(_u5020, _u5018)) | ~hBOOL(hAPP(hAPP(c_member(_u5017), skolem103(_u5020, _u5019, _u5018, _u5017)), skolem104(_u5020, _u5019, _u5018, _u5017))) )).
% 39.89/40.05 cnf(fact_finite__subset__induct-4, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5017), _u5018)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5017, tc_HOL_Obool)), _u5018), _u5019)) | ~hBOOL(hAPP(_u5020, c_Orderings_Obot__class_Obot(tc_fun(_u5017, tc_HOL_Obool)))) | hBOOL(hAPP(_u5020, _u5018)) | hBOOL(hAPP(_u5020, skolem104(_u5020, _u5019, _u5018, _u5017))) )).
% 39.89/40.05 cnf(fact_finite__subset__induct-5, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5017), _u5018)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5017, tc_HOL_Obool)), _u5018), _u5019)) | ~hBOOL(hAPP(_u5020, c_Orderings_Obot__class_Obot(tc_fun(_u5017, tc_HOL_Obool)))) | hBOOL(hAPP(_u5020, _u5018)) | ~hBOOL(hAPP(_u5020, hAPP(hAPP(c_Set_Oinsert(_u5017), skolem103(_u5020, _u5019, _u5018, _u5017)), skolem104(_u5020, _u5019, _u5018, _u5017)))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_SUP2__I ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_SUP2__I-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u5021), _u5022), _u5023)) | ~hBOOL(hAPP(hAPP(hAPP(_u5024, _u5022), _u5025), _u5026)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5021, tc_fun(_u5027, tc_fun(_u5028, tc_HOL_Obool))), _u5023), _u5024), _u5025), _u5026)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_folding__one__idem_Oidem ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_folding__one__idem_Oidem-1, axiom, ( ( hAPP(hAPP(_u5030, _u5032), _u5032) = _u5032) | ~c_Finite__Set_Ofolding__one__idem(_u5029, _u5030, _u5031) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_inf__Int__eq2 ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_inf__Int__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5039, tc_fun(_u5041, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u5039, tc_fun(tc_prod(_u5039, _u5041), tc_HOL_Obool), tc_fun(_u5041, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5041, tc_fun(tc_fun(tc_prod(_u5039, _u5041), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u5039, _u5041), tc_HOL_Obool), tc_fun(_u5041, tc_HOL_Obool)), _u5039), c_COMBC(_u5041, tc_fun(tc_prod(_u5039, _u5041), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5041, tc_prod(_u5039, _u5041)), tc_fun(_u5041, tc_fun(tc_fun(tc_prod(_u5039, _u5041), tc_HOL_Obool), tc_HOL_Obool)), _u5039), hAPP(c_COMBB(tc_prod(_u5039, _u5041), tc_fun(tc_fun(tc_prod(_u5039, _u5041), tc_HOL_Obool), tc_HOL_Obool), _u5041), c_member(tc_prod(_u5039, _u5041)))), c_Product__Type_OPair(_u5039, _u5041)))), _u5043)), hAPP(hAPP(c_COMBC(_u5039, tc_fun(tc_prod(_u5039, _u5041), tc_HOL_Obool), tc_fun(_u5041, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5041, tc_fun(tc_fun(tc_prod(_u5039, _u5041), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u5039, _u5041), tc_HOL_Obool), tc_fun(_u5041, tc_HOL_Obool)), _u5039), c_COMBC(_u5041, tc_fun(tc_prod(_u5039, _u5041), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5041, tc_prod(_u5039, _u5041)), tc_fun(_u5041, tc_fun(tc_fun(tc_prod(_u5039, _u5041), tc_HOL_Obool), tc_HOL_Obool)), _u5039), hAPP(c_COMBB(tc_prod(_u5039, _u5041), tc_fun(tc_fun(tc_prod(_u5039, _u5041), tc_HOL_Obool), tc_HOL_Obool), _u5041), c_member(tc_prod(_u5039, _u5041)))), c_Product__Type_OPair(_u5039, _u5041)))), _u5045)), _u5047), _u5049)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u5039, _u5041)), hAPP(hAPP(c_Product__Type_OPair(_u5039, _u5041), _u5047), _u5049)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u5039, _u5041), tc_HOL_Obool)), _u5043), _u5045))) )).
% 39.89/40.05 cnf(fact_inf__Int__eq2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u5040, _u5042)), hAPP(hAPP(c_Product__Type_OPair(_u5040, _u5042), _u5048), _u5050)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u5040, _u5042), tc_HOL_Obool)), _u5044), _u5046))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5040, tc_fun(_u5042, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u5040, tc_fun(tc_prod(_u5040, _u5042), tc_HOL_Obool), tc_fun(_u5042, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5042, tc_fun(tc_fun(tc_prod(_u5040, _u5042), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u5040, _u5042), tc_HOL_Obool), tc_fun(_u5042, tc_HOL_Obool)), _u5040), c_COMBC(_u5042, tc_fun(tc_prod(_u5040, _u5042), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5042, tc_prod(_u5040, _u5042)), tc_fun(_u5042, tc_fun(tc_fun(tc_prod(_u5040, _u5042), tc_HOL_Obool), tc_HOL_Obool)), _u5040), hAPP(c_COMBB(tc_prod(_u5040, _u5042), tc_fun(tc_fun(tc_prod(_u5040, _u5042), tc_HOL_Obool), tc_HOL_Obool), _u5042), c_member(tc_prod(_u5040, _u5042)))), c_Product__Type_OPair(_u5040, _u5042)))), _u5044)), hAPP(hAPP(c_COMBC(_u5040, tc_fun(tc_prod(_u5040, _u5042), tc_HOL_Obool), tc_fun(_u5042, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5042, tc_fun(tc_fun(tc_prod(_u5040, _u5042), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u5040, _u5042), tc_HOL_Obool), tc_fun(_u5042, tc_HOL_Obool)), _u5040), c_COMBC(_u5042, tc_fun(tc_prod(_u5040, _u5042), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5042, tc_prod(_u5040, _u5042)), tc_fun(_u5042, tc_fun(tc_fun(tc_prod(_u5040, _u5042), tc_HOL_Obool), tc_HOL_Obool)), _u5040), hAPP(c_COMBB(tc_prod(_u5040, _u5042), tc_fun(tc_fun(tc_prod(_u5040, _u5042), tc_HOL_Obool), tc_HOL_Obool), _u5042), c_member(tc_prod(_u5040, _u5042)))), c_Product__Type_OPair(_u5040, _u5042)))), _u5046)), _u5048), _u5050)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_pred__equals__eq2 ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_pred__equals__eq2-1, axiom, ( ( _u5059 = _u5061) | ( hAPP(hAPP(c_COMBC(_u5055, tc_fun(tc_prod(_u5055, _u5057), tc_HOL_Obool), tc_fun(_u5057, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5057, tc_fun(tc_fun(tc_prod(_u5055, _u5057), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u5055, _u5057), tc_HOL_Obool), tc_fun(_u5057, tc_HOL_Obool)), _u5055), c_COMBC(_u5057, tc_fun(tc_prod(_u5055, _u5057), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5057, tc_prod(_u5055, _u5057)), tc_fun(_u5057, tc_fun(tc_fun(tc_prod(_u5055, _u5057), tc_HOL_Obool), tc_HOL_Obool)), _u5055), hAPP(c_COMBB(tc_prod(_u5055, _u5057), tc_fun(tc_fun(tc_prod(_u5055, _u5057), tc_HOL_Obool), tc_HOL_Obool), _u5057), c_member(tc_prod(_u5055, _u5057)))), c_Product__Type_OPair(_u5055, _u5057)))), _u5059) != hAPP(hAPP(c_COMBC(_u5055, tc_fun(tc_prod(_u5055, _u5057), tc_HOL_Obool), tc_fun(_u5057, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5057, tc_fun(tc_fun(tc_prod(_u5055, _u5057), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u5055, _u5057), tc_HOL_Obool), tc_fun(_u5057, tc_HOL_Obool)), _u5055), c_COMBC(_u5057, tc_fun(tc_prod(_u5055, _u5057), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5057, tc_prod(_u5055, _u5057)), tc_fun(_u5057, tc_fun(tc_fun(tc_prod(_u5055, _u5057), tc_HOL_Obool), tc_HOL_Obool)), _u5055), hAPP(c_COMBB(tc_prod(_u5055, _u5057), tc_fun(tc_fun(tc_prod(_u5055, _u5057), tc_HOL_Obool), tc_HOL_Obool), _u5057), c_member(tc_prod(_u5055, _u5057)))), c_Product__Type_OPair(_u5055, _u5057)))), _u5061)) )).
% 39.89/40.05 cnf(fact_pred__equals__eq2-2, axiom, ( ( _u5060 != _u5062) | ( hAPP(hAPP(c_COMBC(_u5056, tc_fun(tc_prod(_u5056, _u5058), tc_HOL_Obool), tc_fun(_u5058, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5058, tc_fun(tc_fun(tc_prod(_u5056, _u5058), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u5056, _u5058), tc_HOL_Obool), tc_fun(_u5058, tc_HOL_Obool)), _u5056), c_COMBC(_u5058, tc_fun(tc_prod(_u5056, _u5058), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5058, tc_prod(_u5056, _u5058)), tc_fun(_u5058, tc_fun(tc_fun(tc_prod(_u5056, _u5058), tc_HOL_Obool), tc_HOL_Obool)), _u5056), hAPP(c_COMBB(tc_prod(_u5056, _u5058), tc_fun(tc_fun(tc_prod(_u5056, _u5058), tc_HOL_Obool), tc_HOL_Obool), _u5058), c_member(tc_prod(_u5056, _u5058)))), c_Product__Type_OPair(_u5056, _u5058)))), _u5060) = hAPP(hAPP(c_COMBC(_u5056, tc_fun(tc_prod(_u5056, _u5058), tc_HOL_Obool), tc_fun(_u5058, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5058, tc_fun(tc_fun(tc_prod(_u5056, _u5058), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u5056, _u5058), tc_HOL_Obool), tc_fun(_u5058, tc_HOL_Obool)), _u5056), c_COMBC(_u5058, tc_fun(tc_prod(_u5056, _u5058), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5058, tc_prod(_u5056, _u5058)), tc_fun(_u5058, tc_fun(tc_fun(tc_prod(_u5056, _u5058), tc_HOL_Obool), tc_HOL_Obool)), _u5056), hAPP(c_COMBB(tc_prod(_u5056, _u5058), tc_fun(tc_fun(tc_prod(_u5056, _u5058), tc_HOL_Obool), tc_HOL_Obool), _u5058), c_member(tc_prod(_u5056, _u5058)))), c_Product__Type_OPair(_u5056, _u5058)))), _u5062)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_congruent2D ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_congruent2D-1, axiom, ( ~c_Equiv__Relations_Ocongruent2(_u5063, _u5064, _u5065, _u5066, _u5067, _u5068) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u5063, _u5063)), hAPP(hAPP(c_Product__Type_OPair(_u5063, _u5063), _u5069), _u5070)), _u5066)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u5064, _u5064)), hAPP(hAPP(c_Product__Type_OPair(_u5064, _u5064), _u5071), _u5072)), _u5067)) | ( hAPP(hAPP(_u5068, _u5069), _u5071) = hAPP(hAPP(_u5068, _u5070), _u5072)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_congruentD ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_congruentD-1, axiom, ( ~c_Equiv__Relations_Ocongruent(_u5073, _u5074, _u5075, _u5076) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u5073, _u5073)), hAPP(hAPP(c_Product__Type_OPair(_u5073, _u5073), _u5077), _u5078)), _u5075)) | ( hAPP(_u5076, _u5077) = hAPP(_u5076, _u5078)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_pred__subset__eq2 ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_pred__subset__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5083, tc_fun(_u5085, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u5083, tc_fun(tc_prod(_u5083, _u5085), tc_HOL_Obool), tc_fun(_u5085, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5085, tc_fun(tc_fun(tc_prod(_u5083, _u5085), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u5083, _u5085), tc_HOL_Obool), tc_fun(_u5085, tc_HOL_Obool)), _u5083), c_COMBC(_u5085, tc_fun(tc_prod(_u5083, _u5085), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5085, tc_prod(_u5083, _u5085)), tc_fun(_u5085, tc_fun(tc_fun(tc_prod(_u5083, _u5085), tc_HOL_Obool), tc_HOL_Obool)), _u5083), hAPP(c_COMBB(tc_prod(_u5083, _u5085), tc_fun(tc_fun(tc_prod(_u5083, _u5085), tc_HOL_Obool), tc_HOL_Obool), _u5085), c_member(tc_prod(_u5083, _u5085)))), c_Product__Type_OPair(_u5083, _u5085)))), _u5087)), hAPP(hAPP(c_COMBC(_u5083, tc_fun(tc_prod(_u5083, _u5085), tc_HOL_Obool), tc_fun(_u5085, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5085, tc_fun(tc_fun(tc_prod(_u5083, _u5085), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u5083, _u5085), tc_HOL_Obool), tc_fun(_u5085, tc_HOL_Obool)), _u5083), c_COMBC(_u5085, tc_fun(tc_prod(_u5083, _u5085), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5085, tc_prod(_u5083, _u5085)), tc_fun(_u5085, tc_fun(tc_fun(tc_prod(_u5083, _u5085), tc_HOL_Obool), tc_HOL_Obool)), _u5083), hAPP(c_COMBB(tc_prod(_u5083, _u5085), tc_fun(tc_fun(tc_prod(_u5083, _u5085), tc_HOL_Obool), tc_HOL_Obool), _u5085), c_member(tc_prod(_u5083, _u5085)))), c_Product__Type_OPair(_u5083, _u5085)))), _u5089))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u5083, _u5085), tc_HOL_Obool)), _u5087), _u5089)) )).
% 39.89/40.05 cnf(fact_pred__subset__eq2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u5084, _u5086), tc_HOL_Obool)), _u5088), _u5090)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5084, tc_fun(_u5086, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u5084, tc_fun(tc_prod(_u5084, _u5086), tc_HOL_Obool), tc_fun(_u5086, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5086, tc_fun(tc_fun(tc_prod(_u5084, _u5086), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u5084, _u5086), tc_HOL_Obool), tc_fun(_u5086, tc_HOL_Obool)), _u5084), c_COMBC(_u5086, tc_fun(tc_prod(_u5084, _u5086), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5086, tc_prod(_u5084, _u5086)), tc_fun(_u5086, tc_fun(tc_fun(tc_prod(_u5084, _u5086), tc_HOL_Obool), tc_HOL_Obool)), _u5084), hAPP(c_COMBB(tc_prod(_u5084, _u5086), tc_fun(tc_fun(tc_prod(_u5084, _u5086), tc_HOL_Obool), tc_HOL_Obool), _u5086), c_member(tc_prod(_u5084, _u5086)))), c_Product__Type_OPair(_u5084, _u5086)))), _u5088)), hAPP(hAPP(c_COMBC(_u5084, tc_fun(tc_prod(_u5084, _u5086), tc_HOL_Obool), tc_fun(_u5086, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5086, tc_fun(tc_fun(tc_prod(_u5084, _u5086), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u5084, _u5086), tc_HOL_Obool), tc_fun(_u5086, tc_HOL_Obool)), _u5084), c_COMBC(_u5086, tc_fun(tc_prod(_u5084, _u5086), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5086, tc_prod(_u5084, _u5086)), tc_fun(_u5086, tc_fun(tc_fun(tc_prod(_u5084, _u5086), tc_HOL_Obool), tc_HOL_Obool)), _u5084), hAPP(c_COMBB(tc_prod(_u5084, _u5086), tc_fun(tc_fun(tc_prod(_u5084, _u5086), tc_HOL_Obool), tc_HOL_Obool), _u5086), c_member(tc_prod(_u5084, _u5086)))), c_Product__Type_OPair(_u5084, _u5086)))), _u5090))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_bot__empty__eq2 ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_bot__empty__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u5095, tc_fun(_u5097, tc_HOL_Obool))), _u5099), _u5101)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u5095, _u5097)), hAPP(hAPP(c_Product__Type_OPair(_u5095, _u5097), _u5099), _u5101)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u5095, _u5097), tc_HOL_Obool)))) )).
% 39.89/40.05 cnf(fact_bot__empty__eq2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u5096, _u5098)), hAPP(hAPP(c_Product__Type_OPair(_u5096, _u5098), _u5100), _u5102)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u5096, _u5098), tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u5096, tc_fun(_u5098, tc_HOL_Obool))), _u5100), _u5102)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_sup__Un__eq2 ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_sup__Un__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5109, tc_fun(_u5111, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u5109, tc_fun(tc_prod(_u5109, _u5111), tc_HOL_Obool), tc_fun(_u5111, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5111, tc_fun(tc_fun(tc_prod(_u5109, _u5111), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u5109, _u5111), tc_HOL_Obool), tc_fun(_u5111, tc_HOL_Obool)), _u5109), c_COMBC(_u5111, tc_fun(tc_prod(_u5109, _u5111), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5111, tc_prod(_u5109, _u5111)), tc_fun(_u5111, tc_fun(tc_fun(tc_prod(_u5109, _u5111), tc_HOL_Obool), tc_HOL_Obool)), _u5109), hAPP(c_COMBB(tc_prod(_u5109, _u5111), tc_fun(tc_fun(tc_prod(_u5109, _u5111), tc_HOL_Obool), tc_HOL_Obool), _u5111), c_member(tc_prod(_u5109, _u5111)))), c_Product__Type_OPair(_u5109, _u5111)))), _u5113)), hAPP(hAPP(c_COMBC(_u5109, tc_fun(tc_prod(_u5109, _u5111), tc_HOL_Obool), tc_fun(_u5111, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5111, tc_fun(tc_fun(tc_prod(_u5109, _u5111), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u5109, _u5111), tc_HOL_Obool), tc_fun(_u5111, tc_HOL_Obool)), _u5109), c_COMBC(_u5111, tc_fun(tc_prod(_u5109, _u5111), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5111, tc_prod(_u5109, _u5111)), tc_fun(_u5111, tc_fun(tc_fun(tc_prod(_u5109, _u5111), tc_HOL_Obool), tc_HOL_Obool)), _u5109), hAPP(c_COMBB(tc_prod(_u5109, _u5111), tc_fun(tc_fun(tc_prod(_u5109, _u5111), tc_HOL_Obool), tc_HOL_Obool), _u5111), c_member(tc_prod(_u5109, _u5111)))), c_Product__Type_OPair(_u5109, _u5111)))), _u5115)), _u5117), _u5119)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u5109, _u5111)), hAPP(hAPP(c_Product__Type_OPair(_u5109, _u5111), _u5117), _u5119)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u5109, _u5111), tc_HOL_Obool)), _u5113), _u5115))) )).
% 39.89/40.05 cnf(fact_sup__Un__eq2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u5110, _u5112)), hAPP(hAPP(c_Product__Type_OPair(_u5110, _u5112), _u5118), _u5120)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u5110, _u5112), tc_HOL_Obool)), _u5114), _u5116))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5110, tc_fun(_u5112, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u5110, tc_fun(tc_prod(_u5110, _u5112), tc_HOL_Obool), tc_fun(_u5112, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5112, tc_fun(tc_fun(tc_prod(_u5110, _u5112), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u5110, _u5112), tc_HOL_Obool), tc_fun(_u5112, tc_HOL_Obool)), _u5110), c_COMBC(_u5112, tc_fun(tc_prod(_u5110, _u5112), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5112, tc_prod(_u5110, _u5112)), tc_fun(_u5112, tc_fun(tc_fun(tc_prod(_u5110, _u5112), tc_HOL_Obool), tc_HOL_Obool)), _u5110), hAPP(c_COMBB(tc_prod(_u5110, _u5112), tc_fun(tc_fun(tc_prod(_u5110, _u5112), tc_HOL_Obool), tc_HOL_Obool), _u5112), c_member(tc_prod(_u5110, _u5112)))), c_Product__Type_OPair(_u5110, _u5112)))), _u5114)), hAPP(hAPP(c_COMBC(_u5110, tc_fun(tc_prod(_u5110, _u5112), tc_HOL_Obool), tc_fun(_u5112, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5112, tc_fun(tc_fun(tc_prod(_u5110, _u5112), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u5110, _u5112), tc_HOL_Obool), tc_fun(_u5112, tc_HOL_Obool)), _u5110), c_COMBC(_u5112, tc_fun(tc_prod(_u5110, _u5112), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5112, tc_prod(_u5110, _u5112)), tc_fun(_u5112, tc_fun(tc_fun(tc_prod(_u5110, _u5112), tc_HOL_Obool), tc_HOL_Obool)), _u5110), hAPP(c_COMBB(tc_prod(_u5110, _u5112), tc_fun(tc_fun(tc_prod(_u5110, _u5112), tc_HOL_Obool), tc_HOL_Obool), _u5112), c_member(tc_prod(_u5110, _u5112)))), c_Product__Type_OPair(_u5110, _u5112)))), _u5116)), _u5118), _u5120)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_enum__ex__prod__def ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_enum__ex__prod__def-1, axiom, ( ~class_Enum_Oenum(_u5121) | ~class_Enum_Oenum(_u5122) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_prod(_u5122, _u5121)), _u5123)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u5122), hAPP(hAPP(c_COMBB(tc_fun(_u5121, tc_HOL_Obool), tc_HOL_Obool, _u5122), c_Enum_Oenum__class_Oenum__ex(_u5121)), hAPP(hAPP(c_COMBB(tc_fun(_u5121, tc_prod(_u5122, _u5121)), tc_fun(_u5121, tc_HOL_Obool), _u5122), hAPP(c_COMBB(tc_prod(_u5122, _u5121), tc_HOL_Obool, _u5121), _u5123)), c_Product__Type_OPair(_u5122, _u5121))))) )).
% 39.89/40.05 cnf(fact_enum__ex__prod__def-2, axiom, ( ~class_Enum_Oenum(_u5121) | ~class_Enum_Oenum(_u5122) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u5122), hAPP(hAPP(c_COMBB(tc_fun(_u5121, tc_HOL_Obool), tc_HOL_Obool, _u5122), c_Enum_Oenum__class_Oenum__ex(_u5121)), hAPP(hAPP(c_COMBB(tc_fun(_u5121, tc_prod(_u5122, _u5121)), tc_fun(_u5121, tc_HOL_Obool), _u5122), hAPP(c_COMBB(tc_prod(_u5122, _u5121), tc_HOL_Obool, _u5121), _u5123)), c_Product__Type_OPair(_u5122, _u5121))))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_prod(_u5122, _u5121)), _u5123)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_enum__all__prod__def ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_enum__all__prod__def-1, axiom, ( ~class_Enum_Oenum(_u5124) | ~class_Enum_Oenum(_u5125) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_prod(_u5125, _u5124)), _u5126)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u5125), hAPP(hAPP(c_COMBB(tc_fun(_u5124, tc_HOL_Obool), tc_HOL_Obool, _u5125), c_Enum_Oenum__class_Oenum__all(_u5124)), hAPP(hAPP(c_COMBB(tc_fun(_u5124, tc_prod(_u5125, _u5124)), tc_fun(_u5124, tc_HOL_Obool), _u5125), hAPP(c_COMBB(tc_prod(_u5125, _u5124), tc_HOL_Obool, _u5124), _u5126)), c_Product__Type_OPair(_u5125, _u5124))))) )).
% 39.89/40.05 cnf(fact_enum__all__prod__def-2, axiom, ( ~class_Enum_Oenum(_u5124) | ~class_Enum_Oenum(_u5125) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u5125), hAPP(hAPP(c_COMBB(tc_fun(_u5124, tc_HOL_Obool), tc_HOL_Obool, _u5125), c_Enum_Oenum__class_Oenum__all(_u5124)), hAPP(hAPP(c_COMBB(tc_fun(_u5124, tc_prod(_u5125, _u5124)), tc_fun(_u5124, tc_HOL_Obool), _u5125), hAPP(c_COMBB(tc_prod(_u5125, _u5124), tc_HOL_Obool, _u5124), _u5126)), c_Product__Type_OPair(_u5125, _u5124))))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_prod(_u5125, _u5124)), _u5126)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_Image__iff ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_Image__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u5134), _u5136), hAPP(c_Relation_OImage(_u5138, _u5134, _u5140), _u5142))) | hBOOL(hAPP(hAPP(c_member(_u5138), skolem105(_u5142, _u5140, _u5138, _u5136, _u5134)), _u5142)) )).
% 39.89/40.05 cnf(fact_Image__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u5134), _u5136), hAPP(c_Relation_OImage(_u5138, _u5134, _u5140), _u5142))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u5138, _u5134)), hAPP(hAPP(c_Product__Type_OPair(_u5138, _u5134), skolem105(_u5142, _u5140, _u5138, _u5136, _u5134)), _u5136)), _u5140)) )).
% 39.89/40.05 cnf(fact_Image__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u5139), _u5128), _u5143)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u5139, _u5135)), hAPP(hAPP(c_Product__Type_OPair(_u5139, _u5135), _u5128), _u5137)), _u5141)) | hBOOL(hAPP(hAPP(c_member(_u5135), _u5137), hAPP(c_Relation_OImage(_u5139, _u5135, _u5141), _u5143))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_rev__ImageI ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_rev__ImageI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u5144), _u5145), _u5146)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u5144, _u5147)), hAPP(hAPP(c_Product__Type_OPair(_u5144, _u5147), _u5145), _u5148)), _u5149)) | hBOOL(hAPP(hAPP(c_member(_u5147), _u5148), hAPP(c_Relation_OImage(_u5144, _u5147, _u5149), _u5146))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_Image__singleton__iff ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_Image__singleton__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u5155), _u5157), hAPP(c_Relation_OImage(_u5159, _u5155, _u5161), hAPP(hAPP(c_Set_Oinsert(_u5159), _u5163), c_Orderings_Obot__class_Obot(tc_fun(_u5159, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u5159, _u5155)), hAPP(hAPP(c_Product__Type_OPair(_u5159, _u5155), _u5163), _u5157)), _u5161)) )).
% 39.89/40.05 cnf(fact_Image__singleton__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u5160, _u5156)), hAPP(hAPP(c_Product__Type_OPair(_u5160, _u5156), _u5164), _u5158)), _u5162)) | hBOOL(hAPP(hAPP(c_member(_u5156), _u5158), hAPP(c_Relation_OImage(_u5160, _u5156, _u5162), hAPP(hAPP(c_Set_Oinsert(_u5160), _u5164), c_Orderings_Obot__class_Obot(tc_fun(_u5160, tc_HOL_Obool)))))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_folding__one__idem_Oin__idem ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_folding__one__idem_Oin__idem-1, axiom, ( ~c_Finite__Set_Ofolding__one__idem(_u5165, _u5166, _u5167) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5165), _u5168)) | ~hBOOL(hAPP(hAPP(c_member(_u5165), _u5169), _u5168)) | ( hAPP(hAPP(_u5166, _u5169), hAPP(_u5167, _u5168)) = hAPP(_u5167, _u5168)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_equiv__class__eq ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_equiv__class__eq-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u5170, _u5171, _u5172) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u5170, _u5170)), hAPP(hAPP(c_Product__Type_OPair(_u5170, _u5170), _u5173), _u5174)), _u5172)) | ( hAPP(c_Relation_OImage(_u5170, _u5170, _u5172), hAPP(hAPP(c_Set_Oinsert(_u5170), _u5173), c_Orderings_Obot__class_Obot(tc_fun(_u5170, tc_HOL_Obool)))) = hAPP(c_Relation_OImage(_u5170, _u5170, _u5172), hAPP(hAPP(c_Set_Oinsert(_u5170), _u5174), c_Orderings_Obot__class_Obot(tc_fun(_u5170, tc_HOL_Obool))))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_quotient__eq__iff ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_quotient__eq__iff-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u5175, _u5176, _u5177) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u5175, tc_HOL_Obool)), _u5178), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u5175), _u5176), _u5177))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u5175, tc_HOL_Obool)), _u5179), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u5175), _u5176), _u5177))) | ~hBOOL(hAPP(hAPP(c_member(_u5175), _u5180), _u5178)) | ~hBOOL(hAPP(hAPP(c_member(_u5175), _u5181), _u5179)) | ( _u5178 != _u5179) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u5175, _u5175)), hAPP(hAPP(c_Product__Type_OPair(_u5175, _u5175), _u5180), _u5181)), _u5177)) )).
% 39.89/40.05 cnf(fact_quotient__eq__iff-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u5175, _u5176, _u5177) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u5175, tc_HOL_Obool)), _u5178), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u5175), _u5176), _u5177))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u5175, tc_HOL_Obool)), _u5179), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u5175), _u5176), _u5177))) | ~hBOOL(hAPP(hAPP(c_member(_u5175), _u5180), _u5178)) | ~hBOOL(hAPP(hAPP(c_member(_u5175), _u5181), _u5179)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u5175, _u5175)), hAPP(hAPP(c_Product__Type_OPair(_u5175, _u5175), _u5180), _u5181)), _u5177)) | ( _u5178 = _u5179) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_quotient__eqI ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_quotient__eqI-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u5182, _u5183, _u5184) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u5182, tc_HOL_Obool)), _u5185), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u5182), _u5183), _u5184))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u5182, tc_HOL_Obool)), _u5186), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u5182), _u5183), _u5184))) | ~hBOOL(hAPP(hAPP(c_member(_u5182), _u5187), _u5185)) | ~hBOOL(hAPP(hAPP(c_member(_u5182), _u5188), _u5186)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u5182, _u5182)), hAPP(hAPP(c_Product__Type_OPair(_u5182, _u5182), _u5187), _u5188)), _u5184)) | ( _u5185 = _u5186) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_Image__singleton ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_Image__singleton-1, axiom, ( ( hAPP(c_Relation_OImage(_u5189, _u5190, _u5191), hAPP(hAPP(c_Set_Oinsert(_u5189), _u5192), c_Orderings_Obot__class_Obot(tc_fun(_u5189, tc_HOL_Obool)))) = hAPP(c_Set_OCollect(_u5190), hAPP(hAPP(c_COMBC(_u5190, tc_fun(tc_prod(_u5189, _u5190), tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_prod(_u5189, _u5190), tc_fun(tc_fun(tc_prod(_u5189, _u5190), tc_HOL_Obool), tc_HOL_Obool), _u5190), c_member(tc_prod(_u5189, _u5190))), hAPP(c_Product__Type_OPair(_u5189, _u5190), _u5192))), _u5191))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_equiv__class__eq__iff ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_equiv__class__eq__iff-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u5193, _u5194, _u5195) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u5193, _u5193)), hAPP(hAPP(c_Product__Type_OPair(_u5193, _u5193), _u5196), _u5197)), _u5195)) | ( hAPP(c_Relation_OImage(_u5193, _u5193, _u5195), hAPP(hAPP(c_Set_Oinsert(_u5193), _u5196), c_Orderings_Obot__class_Obot(tc_fun(_u5193, tc_HOL_Obool)))) = hAPP(c_Relation_OImage(_u5193, _u5193, _u5195), hAPP(hAPP(c_Set_Oinsert(_u5193), _u5197), c_Orderings_Obot__class_Obot(tc_fun(_u5193, tc_HOL_Obool))))) )).
% 39.89/40.05 cnf(fact_equiv__class__eq__iff-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u5193, _u5194, _u5195) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u5193, _u5193)), hAPP(hAPP(c_Product__Type_OPair(_u5193, _u5193), _u5196), _u5197)), _u5195)) | hBOOL(hAPP(hAPP(c_member(_u5193), _u5196), _u5194)) )).
% 39.89/40.05 cnf(fact_equiv__class__eq__iff-3, axiom, ( ~c_Equiv__Relations_Oequiv(_u5193, _u5194, _u5195) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u5193, _u5193)), hAPP(hAPP(c_Product__Type_OPair(_u5193, _u5193), _u5196), _u5197)), _u5195)) | hBOOL(hAPP(hAPP(c_member(_u5193), _u5197), _u5194)) )).
% 39.89/40.05 cnf(fact_equiv__class__eq__iff-4, axiom, ( ~c_Equiv__Relations_Oequiv(_u5193, _u5194, _u5195) | ( hAPP(c_Relation_OImage(_u5193, _u5193, _u5195), hAPP(hAPP(c_Set_Oinsert(_u5193), _u5196), c_Orderings_Obot__class_Obot(tc_fun(_u5193, tc_HOL_Obool)))) != hAPP(c_Relation_OImage(_u5193, _u5193, _u5195), hAPP(hAPP(c_Set_Oinsert(_u5193), _u5197), c_Orderings_Obot__class_Obot(tc_fun(_u5193, tc_HOL_Obool))))) | ~hBOOL(hAPP(hAPP(c_member(_u5193), _u5196), _u5194)) | ~hBOOL(hAPP(hAPP(c_member(_u5193), _u5197), _u5194)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u5193, _u5193)), hAPP(hAPP(c_Product__Type_OPair(_u5193, _u5193), _u5196), _u5197)), _u5195)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_eq__equiv__class__iff ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_eq__equiv__class__iff-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u5198, _u5199, _u5200) | ~hBOOL(hAPP(hAPP(c_member(_u5198), _u5201), _u5199)) | ~hBOOL(hAPP(hAPP(c_member(_u5198), _u5202), _u5199)) | ( hAPP(c_Relation_OImage(_u5198, _u5198, _u5200), hAPP(hAPP(c_Set_Oinsert(_u5198), _u5201), c_Orderings_Obot__class_Obot(tc_fun(_u5198, tc_HOL_Obool)))) != hAPP(c_Relation_OImage(_u5198, _u5198, _u5200), hAPP(hAPP(c_Set_Oinsert(_u5198), _u5202), c_Orderings_Obot__class_Obot(tc_fun(_u5198, tc_HOL_Obool))))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u5198, _u5198)), hAPP(hAPP(c_Product__Type_OPair(_u5198, _u5198), _u5201), _u5202)), _u5200)) )).
% 39.89/40.05 cnf(fact_eq__equiv__class__iff-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u5198, _u5199, _u5200) | ~hBOOL(hAPP(hAPP(c_member(_u5198), _u5201), _u5199)) | ~hBOOL(hAPP(hAPP(c_member(_u5198), _u5202), _u5199)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u5198, _u5198)), hAPP(hAPP(c_Product__Type_OPair(_u5198, _u5198), _u5201), _u5202)), _u5200)) | ( hAPP(c_Relation_OImage(_u5198, _u5198, _u5200), hAPP(hAPP(c_Set_Oinsert(_u5198), _u5201), c_Orderings_Obot__class_Obot(tc_fun(_u5198, tc_HOL_Obool)))) = hAPP(c_Relation_OImage(_u5198, _u5198, _u5200), hAPP(hAPP(c_Set_Oinsert(_u5198), _u5202), c_Orderings_Obot__class_Obot(tc_fun(_u5198, tc_HOL_Obool))))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_eq__equiv__class ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_eq__equiv__class-1, axiom, ( ( hAPP(c_Relation_OImage(_u5203, _u5203, _u5204), hAPP(hAPP(c_Set_Oinsert(_u5203), _u5205), c_Orderings_Obot__class_Obot(tc_fun(_u5203, tc_HOL_Obool)))) != hAPP(c_Relation_OImage(_u5203, _u5203, _u5204), hAPP(hAPP(c_Set_Oinsert(_u5203), _u5206), c_Orderings_Obot__class_Obot(tc_fun(_u5203, tc_HOL_Obool))))) | ~c_Equiv__Relations_Oequiv(_u5203, _u5207, _u5204) | ~hBOOL(hAPP(hAPP(c_member(_u5203), _u5206), _u5207)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u5203, _u5203)), hAPP(hAPP(c_Product__Type_OPair(_u5203, _u5203), _u5205), _u5206)), _u5204)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_equiv__class__subset ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_equiv__class__subset-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u5208, _u5209, _u5210) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u5208, _u5208)), hAPP(hAPP(c_Product__Type_OPair(_u5208, _u5208), _u5211), _u5212)), _u5210)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5208, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u5208, _u5208, _u5210), hAPP(hAPP(c_Set_Oinsert(_u5208), _u5211), c_Orderings_Obot__class_Obot(tc_fun(_u5208, tc_HOL_Obool))))), hAPP(c_Relation_OImage(_u5208, _u5208, _u5210), hAPP(hAPP(c_Set_Oinsert(_u5208), _u5212), c_Orderings_Obot__class_Obot(tc_fun(_u5208, tc_HOL_Obool)))))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_eq__equiv__class__iff2 ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_eq__equiv__class__iff2-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u5213, _u5214, _u5215) | ~hBOOL(hAPP(hAPP(c_member(_u5213), _u5216), _u5214)) | ~hBOOL(hAPP(hAPP(c_member(_u5213), _u5217), _u5214)) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u5213), hAPP(hAPP(c_Set_Oinsert(_u5213), _u5216), c_Orderings_Obot__class_Obot(tc_fun(_u5213, tc_HOL_Obool)))), _u5215) != hAPP(hAPP(c_Equiv__Relations_Oquotient(_u5213), hAPP(hAPP(c_Set_Oinsert(_u5213), _u5217), c_Orderings_Obot__class_Obot(tc_fun(_u5213, tc_HOL_Obool)))), _u5215)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u5213, _u5213)), hAPP(hAPP(c_Product__Type_OPair(_u5213, _u5213), _u5216), _u5217)), _u5215)) )).
% 39.89/40.05 cnf(fact_eq__equiv__class__iff2-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u5213, _u5214, _u5215) | ~hBOOL(hAPP(hAPP(c_member(_u5213), _u5216), _u5214)) | ~hBOOL(hAPP(hAPP(c_member(_u5213), _u5217), _u5214)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u5213, _u5213)), hAPP(hAPP(c_Product__Type_OPair(_u5213, _u5213), _u5216), _u5217)), _u5215)) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u5213), hAPP(hAPP(c_Set_Oinsert(_u5213), _u5216), c_Orderings_Obot__class_Obot(tc_fun(_u5213, tc_HOL_Obool)))), _u5215) = hAPP(hAPP(c_Equiv__Relations_Oquotient(_u5213), hAPP(hAPP(c_Set_Oinsert(_u5213), _u5217), c_Orderings_Obot__class_Obot(tc_fun(_u5213, tc_HOL_Obool)))), _u5215)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_folding__one__idem_Oinsert__idem ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_folding__one__idem_Oinsert__idem-1, axiom, ( ~c_Finite__Set_Ofolding__one__idem(_u5218, _u5219, _u5220) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5218), _u5221)) | ( _u5221 = c_Orderings_Obot__class_Obot(tc_fun(_u5218, tc_HOL_Obool))) | ( hAPP(_u5220, hAPP(hAPP(c_Set_Oinsert(_u5218), _u5222), _u5221)) = hAPP(hAPP(_u5219, _u5222), hAPP(_u5220, _u5221))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_folding__one__idem_Osubset__idem ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_folding__one__idem_Osubset__idem-1, axiom, ( ~c_Finite__Set_Ofolding__one__idem(_u5223, _u5224, _u5225) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5223), _u5226)) | ( _u5227 = c_Orderings_Obot__class_Obot(tc_fun(_u5223, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5223, tc_HOL_Obool)), _u5227), _u5226)) | ( hAPP(hAPP(_u5224, hAPP(_u5225, _u5227)), hAPP(_u5225, _u5226)) = hAPP(_u5225, _u5226)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_in__rel__def ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_in__rel__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(_u5233, _u5235, _u5237), _u5239), _u5241)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u5233, _u5235)), hAPP(hAPP(c_Product__Type_OPair(_u5233, _u5235), _u5239), _u5241)), _u5237)) )).
% 39.89/40.05 cnf(fact_in__rel__def-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u5234, _u5236)), hAPP(hAPP(c_Product__Type_OPair(_u5234, _u5236), _u5240), _u5242)), _u5238)) | hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(_u5234, _u5236, _u5238), _u5240), _u5242)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_Nitpick_Orefl_H__def ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_Nitpick_Orefl_H__def-1, axiom, ( ~c_Nitpick_Orefl_H(_u5247, _u5249) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u5247, _u5247)), hAPP(hAPP(c_Product__Type_OPair(_u5247, _u5247), _u5243), _u5243)), _u5249)) )).
% 39.89/40.05 cnf(fact_Nitpick_Orefl_H__def-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u5248, _u5248)), hAPP(hAPP(c_Product__Type_OPair(_u5248, _u5248), skolem106(_u5250, _u5248)), skolem106(_u5250, _u5248))), _u5250)) | c_Nitpick_Orefl_H(_u5248, _u5250) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_UN__equiv__class__inject ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_UN__equiv__class__inject-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u5253, _u5254, _u5255) | ~c_Equiv__Relations_Ocongruent(_u5253, tc_fun(_u5256, tc_HOL_Obool), _u5255, _u5257) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5253, tc_fun(_u5256, tc_HOL_Obool)), _u5258), _u5257) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5253, tc_fun(_u5256, tc_HOL_Obool)), _u5259), _u5257)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u5253, tc_HOL_Obool)), _u5258), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u5253), _u5254), _u5255))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u5253, tc_HOL_Obool)), _u5259), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u5253), _u5254), _u5255))) | ( _u5258 = _u5259) | hBOOL(hAPP(hAPP(c_member(_u5253), skolem107(_u5259, _u5258, _u5257, _u5256, _u5255, _u5254, _u5253)), _u5254)) )).
% 39.89/40.05 cnf(fact_UN__equiv__class__inject-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u5253, _u5254, _u5255) | ~c_Equiv__Relations_Ocongruent(_u5253, tc_fun(_u5256, tc_HOL_Obool), _u5255, _u5257) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5253, tc_fun(_u5256, tc_HOL_Obool)), _u5258), _u5257) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5253, tc_fun(_u5256, tc_HOL_Obool)), _u5259), _u5257)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u5253, tc_HOL_Obool)), _u5258), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u5253), _u5254), _u5255))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u5253, tc_HOL_Obool)), _u5259), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u5253), _u5254), _u5255))) | ( _u5258 = _u5259) | hBOOL(hAPP(hAPP(c_member(_u5253), skolem108(_u5259, _u5258, _u5257, _u5256, _u5255, _u5254, _u5253)), _u5254)) )).
% 39.89/40.05 cnf(fact_UN__equiv__class__inject-3, axiom, ( ~c_Equiv__Relations_Oequiv(_u5253, _u5254, _u5255) | ~c_Equiv__Relations_Ocongruent(_u5253, tc_fun(_u5256, tc_HOL_Obool), _u5255, _u5257) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5253, tc_fun(_u5256, tc_HOL_Obool)), _u5258), _u5257) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5253, tc_fun(_u5256, tc_HOL_Obool)), _u5259), _u5257)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u5253, tc_HOL_Obool)), _u5258), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u5253), _u5254), _u5255))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u5253, tc_HOL_Obool)), _u5259), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u5253), _u5254), _u5255))) | ( _u5258 = _u5259) | ( hAPP(_u5257, skolem107(_u5259, _u5258, _u5257, _u5256, _u5255, _u5254, _u5253)) = hAPP(_u5257, skolem108(_u5259, _u5258, _u5257, _u5256, _u5255, _u5254, _u5253))) )).
% 39.89/40.05 cnf(fact_UN__equiv__class__inject-4, axiom, ( ~c_Equiv__Relations_Oequiv(_u5253, _u5254, _u5255) | ~c_Equiv__Relations_Ocongruent(_u5253, tc_fun(_u5256, tc_HOL_Obool), _u5255, _u5257) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5253, tc_fun(_u5256, tc_HOL_Obool)), _u5258), _u5257) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5253, tc_fun(_u5256, tc_HOL_Obool)), _u5259), _u5257)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u5253, tc_HOL_Obool)), _u5258), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u5253), _u5254), _u5255))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u5253, tc_HOL_Obool)), _u5259), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u5253), _u5254), _u5255))) | ( _u5258 = _u5259) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u5253, _u5253)), hAPP(hAPP(c_Product__Type_OPair(_u5253, _u5253), skolem107(_u5259, _u5258, _u5257, _u5256, _u5255, _u5254, _u5253)), skolem108(_u5259, _u5258, _u5257, _u5256, _u5255, _u5254, _u5253))), _u5255)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_irrefl__def ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_irrefl__def-1, axiom, ( ~c_Relation_Oirrefl(_u5264, _u5266) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u5264, _u5264)), hAPP(hAPP(c_Product__Type_OPair(_u5264, _u5264), _u5260), _u5260)), _u5266)) )).
% 39.89/40.05 cnf(fact_irrefl__def-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u5265, _u5265)), hAPP(hAPP(c_Product__Type_OPair(_u5265, _u5265), skolem109(_u5267, _u5265)), skolem109(_u5267, _u5265))), _u5267)) | c_Relation_Oirrefl(_u5265, _u5267) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_ImageE ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_ImageE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u5269), _u5270), hAPP(c_Relation_OImage(_u5271, _u5269, _u5272), _u5273))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u5271, _u5269)), hAPP(hAPP(c_Product__Type_OPair(_u5271, _u5269), skolem110(_u5273, _u5272, _u5271, _u5270, _u5269)), _u5270)), _u5272)) )).
% 39.89/40.05 cnf(fact_ImageE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u5269), _u5270), hAPP(c_Relation_OImage(_u5271, _u5269, _u5272), _u5273))) | hBOOL(hAPP(hAPP(c_member(_u5271), skolem110(_u5273, _u5272, _u5271, _u5270, _u5269)), _u5273)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_Field__insert ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_Field__insert-1, axiom, ( ( hAPP(c_Relation_OField(_u5274), hAPP(hAPP(c_Set_Oinsert(tc_prod(_u5274, _u5274)), hAPP(hAPP(c_Product__Type_OPair(_u5274, _u5274), _u5275), _u5276)), _u5277)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5274, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u5274), _u5275), hAPP(hAPP(c_Set_Oinsert(_u5274), _u5276), c_Orderings_Obot__class_Obot(tc_fun(_u5274, tc_HOL_Obool))))), hAPP(c_Relation_OField(_u5274), _u5277))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_setsum__strict__mono ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_setsum__strict__mono-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u5279) | ~class_Groups_Oordered__cancel__ab__semigroup__add(_u5279) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5280), _u5281)) | ( _u5281 = c_Orderings_Obot__class_Obot(tc_fun(_u5280, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5279), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5280, _u5279), _u5282), _u5281)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5280, _u5279), _u5283), _u5281))) | hBOOL(hAPP(hAPP(c_member(_u5280), skolem111(_u5283, _u5282, _u5281, _u5280, _u5279)), _u5281)) )).
% 39.89/40.05 cnf(fact_setsum__strict__mono-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u5279) | ~class_Groups_Oordered__cancel__ab__semigroup__add(_u5279) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5280), _u5281)) | ( _u5281 = c_Orderings_Obot__class_Obot(tc_fun(_u5280, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5279), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5280, _u5279), _u5282), _u5281)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5280, _u5279), _u5283), _u5281))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5279), hAPP(_u5282, skolem111(_u5283, _u5282, _u5281, _u5280, _u5279))), hAPP(_u5283, skolem111(_u5283, _u5282, _u5281, _u5280, _u5279)))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_finite__conv__nat__seg__image ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_finite__conv__nat__seg__image-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5290), _u5292)) | ( _u5292 = hAPP(c_Set_Oimage(tc_Nat_Onat, _u5290, skolem113(_u5292, _u5290)), 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)), skolem112(_u5292, _u5290))))) )).
% 39.89/40.05 cnf(fact_finite__conv__nat__seg__image-2, axiom, ( ( _u5293 != hAPP(c_Set_Oimage(tc_Nat_Onat, _u5291, _u5286), 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)), _u5287)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u5291), _u5293)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_sup2E ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_sup2E-1, axiom, ( hBOOL(hAPP(hAPP(_u5296, _u5298), _u5299)) | hBOOL(hAPP(hAPP(_u5297, _u5298), _u5299)) | ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5294, tc_fun(_u5295, tc_HOL_Obool))), _u5296), _u5297), _u5298), _u5299)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_sup2CI ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_sup2CI-1, axiom, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5304, tc_fun(_u5305, tc_HOL_Obool))), _u5303), _u5300), _u5301), _u5302)) | ~hBOOL(hAPP(hAPP(_u5300, _u5301), _u5302)) )).
% 39.89/40.05 cnf(fact_sup2CI-2, axiom, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5304, tc_fun(_u5305, tc_HOL_Obool))), _u5303), _u5300), _u5301), _u5302)) | ~hBOOL(hAPP(hAPP(_u5303, _u5301), _u5302)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_inf2E ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_inf2E-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5306, tc_fun(_u5307, tc_HOL_Obool))), _u5308), _u5309), _u5310), _u5311)) | hBOOL(hAPP(hAPP(_u5308, _u5310), _u5311)) )).
% 39.89/40.05 cnf(fact_inf2E-2, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5306, tc_fun(_u5307, tc_HOL_Obool))), _u5308), _u5309), _u5310), _u5311)) | hBOOL(hAPP(hAPP(_u5309, _u5310), _u5311)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_inf2I ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_inf2I-1, axiom, ( ~hBOOL(hAPP(hAPP(_u5312, _u5313), _u5314)) | ~hBOOL(hAPP(hAPP(_u5315, _u5313), _u5314)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5316, tc_fun(_u5317, tc_HOL_Obool))), _u5312), _u5315), _u5313), _u5314)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_bot2E ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_bot2E-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u5318, tc_fun(_u5319, tc_HOL_Obool))), _u5320), _u5321)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_SUP2__iff ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_SUP2__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5331, tc_fun(_u5333, tc_fun(_u5335, tc_HOL_Obool))), _u5337), _u5339), _u5341), _u5343)) | hBOOL(hAPP(hAPP(c_member(_u5331), skolem114(_u5343, _u5341, _u5339, _u5337, _u5335, _u5333, _u5331)), _u5337)) )).
% 39.89/40.05 cnf(fact_SUP2__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5331, tc_fun(_u5333, tc_fun(_u5335, tc_HOL_Obool))), _u5337), _u5339), _u5341), _u5343)) | hBOOL(hAPP(hAPP(hAPP(_u5339, skolem114(_u5343, _u5341, _u5339, _u5337, _u5335, _u5333, _u5331)), _u5341), _u5343)) )).
% 39.89/40.05 cnf(fact_SUP2__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u5332), _u5323), _u5338)) | ~hBOOL(hAPP(hAPP(hAPP(_u5340, _u5323), _u5342), _u5344)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5332, tc_fun(_u5334, tc_fun(_u5336, tc_HOL_Obool))), _u5338), _u5340), _u5342), _u5344)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_sup2I1 ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_sup2I1-1, axiom, ( ~hBOOL(hAPP(hAPP(_u5345, _u5346), _u5347)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5348, tc_fun(_u5349, tc_HOL_Obool))), _u5345), _u5350), _u5346), _u5347)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_sup2I2 ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_sup2I2-1, axiom, ( ~hBOOL(hAPP(hAPP(_u5351, _u5352), _u5353)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5354, tc_fun(_u5355, tc_HOL_Obool))), _u5356), _u5351), _u5352), _u5353)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_rev__predicate2D ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_rev__predicate2D-1, axiom, ( ~hBOOL(hAPP(hAPP(_u5357, _u5358), _u5359)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5360, tc_fun(_u5361, tc_HOL_Obool))), _u5357), _u5362)) | hBOOL(hAPP(hAPP(_u5362, _u5358), _u5359)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_predicate2D ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_predicate2D-1, axiom, ( ~hBOOL(hAPP(hAPP(_u5365, _u5367), _u5368)) | hBOOL(hAPP(hAPP(_u5366, _u5367), _u5368)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5363, tc_fun(_u5364, tc_HOL_Obool))), _u5365), _u5366)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_inf2D2 ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_inf2D2-1, axiom, ( hBOOL(hAPP(hAPP(_u5372, _u5373), _u5374)) | ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5369, tc_fun(_u5370, tc_HOL_Obool))), _u5371), _u5372), _u5373), _u5374)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_inf2D1 ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_inf2D1-1, axiom, ( hBOOL(hAPP(hAPP(_u5377, _u5379), _u5380)) | ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5375, tc_fun(_u5376, tc_HOL_Obool))), _u5377), _u5378), _u5379), _u5380)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_finite__Field ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_finite__Field-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u5381, _u5381)), _u5382)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u5381), hAPP(c_Relation_OField(_u5381), _u5382))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_Field__empty ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_Field__empty-1, axiom, ( ( hAPP(c_Relation_OField(_u5383), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u5383, _u5383), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u5383, tc_HOL_Obool))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_mono__Field ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_mono__Field-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u5384, _u5384), tc_HOL_Obool)), _u5385), _u5386)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5384, tc_HOL_Obool)), hAPP(c_Relation_OField(_u5384), _u5385)), hAPP(c_Relation_OField(_u5384), _u5386))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_Field__Un ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_Field__Un-1, axiom, ( ( hAPP(c_Relation_OField(_u5387), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u5387, _u5387), tc_HOL_Obool)), _u5388), _u5389)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5387, tc_HOL_Obool)), hAPP(c_Relation_OField(_u5387), _u5388)), hAPP(c_Relation_OField(_u5387), _u5389))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_setsum__diff1_H ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_setsum__diff1_H-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u5390) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5391), _u5392)) | ~hBOOL(hAPP(hAPP(c_member(_u5391), _u5393), _u5392)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5391, _u5390), _u5394), _u5392) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5390), hAPP(_u5394, _u5393)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5391, _u5390), _u5394), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5391, tc_HOL_Obool)), _u5392), hAPP(hAPP(c_Set_Oinsert(_u5391), _u5393), c_Orderings_Obot__class_Obot(tc_fun(_u5391, tc_HOL_Obool))))))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_setsum_Oremove ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_setsum_Oremove-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u5395) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5396), _u5397)) | ~hBOOL(hAPP(hAPP(c_member(_u5396), _u5398), _u5397)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5396, _u5395), _u5399), _u5397) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5395), hAPP(_u5399, _u5398)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5396, _u5395), _u5399), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5396, tc_HOL_Obool)), _u5397), hAPP(hAPP(c_Set_Oinsert(_u5396), _u5398), c_Orderings_Obot__class_Obot(tc_fun(_u5396, tc_HOL_Obool))))))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_ran__restrictD ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_ran__restrictD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u5401), _u5402), c_Map_Oran(_u5403, _u5401, c_Map_Orestrict__map(_u5403, _u5401, _u5404, _u5405)))) | hBOOL(hAPP(hAPP(c_member(_u5403), skolem115(_u5405, _u5404, _u5403, _u5402, _u5401)), _u5405)) )).
% 39.89/40.05 cnf(fact_ran__restrictD-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u5401), _u5402), c_Map_Oran(_u5403, _u5401, c_Map_Orestrict__map(_u5403, _u5401, _u5404, _u5405)))) | ( hAPP(_u5404, skolem115(_u5405, _u5404, _u5403, _u5402, _u5401)) = hAPP(c_Option_Ooption_OSome(_u5401), _u5402)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_map__add__def ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_map__add__def-1, axiom, ( ( hAPP(c_Map_Omap__add(_u5406, _u5407, _u5408, _u5409), _u5410) = hAPP(c_Option_Ooption_Ooption__case(tc_Option_Ooption(_u5407), _u5407, hAPP(_u5408, _u5410), c_Option_Ooption_OSome(_u5407)), hAPP(_u5409, _u5410))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_image__eq__fold__image ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_image__eq__fold__image-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5411), _u5412)) | ( hAPP(c_Set_Oimage(_u5411, _u5413, _u5414), _u5412) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_fun(_u5413, tc_HOL_Obool), _u5411, c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5413, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u5411, tc_fun(_u5413, tc_HOL_Obool), tc_fun(_u5413, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(_u5413, tc_fun(tc_fun(_u5413, tc_HOL_Obool), tc_fun(_u5413, tc_HOL_Obool)), _u5411), c_Set_Oinsert(_u5413)), _u5414)), c_Orderings_Obot__class_Obot(tc_fun(_u5413, tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(_u5413, tc_HOL_Obool))), _u5412)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_compl__unique ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_compl__unique-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u5415) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u5415), _u5416), _u5417) != c_Orderings_Obot__class_Obot(_u5415)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u5415), _u5416), _u5417) != c_Orderings_Otop__class_Otop(_u5415)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5415), _u5416) = _u5417) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_card__Diff2__less ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_card__Diff2__less-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5418), _u5419)) | ~hBOOL(hAPP(hAPP(c_member(_u5418), _u5420), _u5419)) | ~hBOOL(hAPP(hAPP(c_member(_u5418), _u5421), _u5419)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u5418), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5418, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5418, tc_HOL_Obool)), _u5419), hAPP(hAPP(c_Set_Oinsert(_u5418), _u5420), c_Orderings_Obot__class_Obot(tc_fun(_u5418, tc_HOL_Obool))))), hAPP(hAPP(c_Set_Oinsert(_u5418), _u5421), c_Orderings_Obot__class_Obot(tc_fun(_u5418, tc_HOL_Obool)))))), hAPP(c_Finite__Set_Ocard(_u5418), _u5419))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_card__Diff1__less ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_card__Diff1__less-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5422), _u5423)) | ~hBOOL(hAPP(hAPP(c_member(_u5422), _u5424), _u5423)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u5422), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5422, tc_HOL_Obool)), _u5423), hAPP(hAPP(c_Set_Oinsert(_u5422), _u5424), c_Orderings_Obot__class_Obot(tc_fun(_u5422, tc_HOL_Obool)))))), hAPP(c_Finite__Set_Ocard(_u5422), _u5423))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_UNIV__I ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_UNIV__I-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u5425), _u5426), c_Orderings_Otop__class_Otop(tc_fun(_u5425, tc_HOL_Obool)))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_finite__option__UNIV ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_finite__option__UNIV-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u5428)), c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(_u5428), tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u5428), c_Orderings_Otop__class_Otop(tc_fun(_u5428, tc_HOL_Obool)))) )).
% 39.89/40.05 cnf(fact_finite__option__UNIV-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5429), c_Orderings_Otop__class_Otop(tc_fun(_u5429, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u5429)), c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(_u5429), tc_HOL_Obool)))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_finite__Plus__UNIV__iff ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_finite__Plus__UNIV__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u5432, _u5434)), c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u5432, _u5434), tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u5432), c_Orderings_Otop__class_Otop(tc_fun(_u5432, tc_HOL_Obool)))) )).
% 39.89/40.05 cnf(fact_finite__Plus__UNIV__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u5432, _u5434)), c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u5432, _u5434), tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u5434), c_Orderings_Otop__class_Otop(tc_fun(_u5434, tc_HOL_Obool)))) )).
% 39.89/40.05 cnf(fact_finite__Plus__UNIV__iff-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5433), c_Orderings_Otop__class_Otop(tc_fun(_u5433, tc_HOL_Obool)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5435), c_Orderings_Otop__class_Otop(tc_fun(_u5435, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u5433, _u5435)), c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u5433, _u5435), tc_HOL_Obool)))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_finite__Prod__UNIV ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_finite__Prod__UNIV-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5436), c_Orderings_Otop__class_Otop(tc_fun(_u5436, tc_HOL_Obool)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5437), c_Orderings_Otop__class_Otop(tc_fun(_u5437, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u5436, _u5437)), c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u5436, _u5437), tc_HOL_Obool)))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_card__eq__UNIV__imp__eq__UNIV ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_card__eq__UNIV__imp__eq__UNIV-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5438), c_Orderings_Otop__class_Otop(tc_fun(_u5438, tc_HOL_Obool)))) | ( hAPP(c_Finite__Set_Ocard(_u5438), _u5439) != hAPP(c_Finite__Set_Ocard(_u5438), c_Orderings_Otop__class_Otop(tc_fun(_u5438, tc_HOL_Obool)))) | ( _u5439 = c_Orderings_Otop__class_Otop(tc_fun(_u5438, tc_HOL_Obool))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_Pow__UNIV ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_Pow__UNIV-1, axiom, ( ( hAPP(c_Set_OPow(_u5440), c_Orderings_Otop__class_Otop(tc_fun(_u5440, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u5440, tc_HOL_Obool), tc_HOL_Obool))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_ab__semigroup__add__class_Oadd__ac_I1_J ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_ab__semigroup__add__class_Oadd__ac_I1_J-1, axiom, ( ~class_Groups_Oab__semigroup__add(_u5441) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5441), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5441), _u5442), _u5443)), _u5444) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5441), _u5442), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5441), _u5443), _u5444))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_add__left__cancel ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_add__left__cancel-1, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u5445) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5445), _u5446), _u5447) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5445), _u5446), _u5448)) | ( _u5447 = _u5448) )).
% 39.89/40.05 cnf(fact_add__left__cancel-2, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u5445) | ( _u5447 != _u5448) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5445), _u5446), _u5447) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5445), _u5446), _u5448)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_add__right__cancel ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_add__right__cancel-1, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u5449) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5449), _u5450), _u5451) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5449), _u5452), _u5451)) | ( _u5450 = _u5452) )).
% 39.89/40.05 cnf(fact_add__right__cancel-2, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u5449) | ( _u5450 != _u5452) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5449), _u5450), _u5451) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5449), _u5452), _u5451)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_add__left__imp__eq ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_add__left__imp__eq-1, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u5453) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5453), _u5454), _u5455) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5453), _u5454), _u5456)) | ( _u5455 = _u5456) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_add__imp__eq ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_add__imp__eq-1, axiom, ( ~class_Groups_Ocancel__ab__semigroup__add(_u5457) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5457), _u5458), _u5459) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5457), _u5458), _u5460)) | ( _u5459 = _u5460) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_add__right__imp__eq ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_add__right__imp__eq-1, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u5461) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5461), _u5462), _u5463) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5461), _u5464), _u5463)) | ( _u5462 = _u5464) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_top__apply ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_top__apply-1, axiom, ( ~class_Orderings_Otop(_u5465) | ( hAPP(c_Orderings_Otop__class_Otop(tc_fun(_u5466, _u5465)), _u5467) = c_Orderings_Otop__class_Otop(_u5465)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_add__le__cancel__right ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_add__le__cancel__right-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u5468) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5468), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5468), _u5469), _u5470)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5468), _u5471), _u5470))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5468), _u5469), _u5471)) )).
% 39.89/40.05 cnf(fact_add__le__cancel__right-2, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u5468) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5468), _u5469), _u5471)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5468), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5468), _u5469), _u5470)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5468), _u5471), _u5470))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_add__le__cancel__left ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_add__le__cancel__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u5472) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5472), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5472), _u5473), _u5474)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5472), _u5473), _u5475))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5472), _u5474), _u5475)) )).
% 39.89/40.05 cnf(fact_add__le__cancel__left-2, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u5472) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5472), _u5474), _u5475)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5472), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5472), _u5473), _u5474)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5472), _u5473), _u5475))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_add__right__mono ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_add__right__mono-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add(_u5476) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5476), _u5477), _u5478)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5476), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5476), _u5477), _u5479)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5476), _u5478), _u5479))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_add__left__mono ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_add__left__mono-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add(_u5480) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5480), _u5481), _u5482)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5480), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5480), _u5483), _u5481)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5480), _u5483), _u5482))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_add__mono ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_add__mono-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add(_u5484) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5484), _u5485), _u5486)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5484), _u5487), _u5488)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5484), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5484), _u5485), _u5487)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5484), _u5486), _u5488))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_add__le__imp__le__right ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_add__le__imp__le__right-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u5489) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5489), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5489), _u5490), _u5491)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5489), _u5492), _u5491))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5489), _u5490), _u5492)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_add__le__imp__le__left ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_add__le__imp__le__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u5493) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5493), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5493), _u5494), _u5495)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5493), _u5494), _u5496))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5493), _u5495), _u5496)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_add__less__imp__less__left ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_add__less__imp__less__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u5497) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5497), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5497), _u5498), _u5499)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5497), _u5498), _u5500))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5497), _u5499), _u5500)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_add__less__imp__less__right ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_add__less__imp__less__right-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u5501) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5501), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5501), _u5502), _u5503)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5501), _u5504), _u5503))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5501), _u5502), _u5504)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_add__strict__mono ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_add__strict__mono-1, axiom, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u5505) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5505), _u5506), _u5507)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5505), _u5508), _u5509)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5505), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5505), _u5506), _u5508)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5505), _u5507), _u5509))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_add__strict__left__mono ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_add__strict__left__mono-1, axiom, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u5510) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5510), _u5511), _u5512)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5510), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5510), _u5513), _u5511)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5510), _u5513), _u5512))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_add__strict__right__mono ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_add__strict__right__mono-1, axiom, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u5514) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5514), _u5515), _u5516)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5514), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5514), _u5515), _u5517)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5514), _u5516), _u5517))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_add__less__cancel__left ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_add__less__cancel__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u5518) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5518), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5518), _u5519), _u5520)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5518), _u5519), _u5521))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5518), _u5520), _u5521)) )).
% 39.89/40.05 cnf(fact_add__less__cancel__left-2, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u5518) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5518), _u5520), _u5521)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5518), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5518), _u5519), _u5520)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5518), _u5519), _u5521))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_add__less__cancel__right ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_add__less__cancel__right-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u5522) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5522), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5522), _u5523), _u5524)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5522), _u5525), _u5524))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5522), _u5523), _u5525)) )).
% 39.89/40.05 cnf(fact_add__less__cancel__right-2, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u5522) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5522), _u5523), _u5525)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5522), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5522), _u5523), _u5524)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5522), _u5525), _u5524))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_add__diff__cancel ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_add__diff__cancel-1, axiom, ( ~class_Groups_Ogroup__add(_u5526) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5526), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5526), _u5527), _u5528)), _u5528) = _u5527) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_diff__add__cancel ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_diff__add__cancel-1, axiom, ( ~class_Groups_Ogroup__add(_u5529) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5529), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5529), _u5530), _u5531)), _u5531) = _u5530) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_minus__add__distrib ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_minus__add__distrib-1, axiom, ( ~class_Groups_Oab__group__add(_u5532) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5532), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5532), _u5533), _u5534)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5532), hAPP(c_Groups_Ouminus__class_Ouminus(_u5532), _u5533)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5532), _u5534))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_minus__add ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_minus__add-1, axiom, ( ~class_Groups_Ogroup__add(_u5535) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5535), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5535), _u5536), _u5537)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5535), hAPP(c_Groups_Ouminus__class_Ouminus(_u5535), _u5537)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5535), _u5536))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_add__minus__cancel ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_add__minus__cancel-1, axiom, ( ~class_Groups_Ogroup__add(_u5538) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5538), _u5539), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5538), hAPP(c_Groups_Ouminus__class_Ouminus(_u5538), _u5539)), _u5540)) = _u5540) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_minus__add__cancel ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_minus__add__cancel-1, axiom, ( ~class_Groups_Ogroup__add(_u5541) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5541), hAPP(c_Groups_Ouminus__class_Ouminus(_u5541), _u5542)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5541), _u5542), _u5543)) = _u5543) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_iso__tuple__UNIV__I ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_iso__tuple__UNIV__I-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u5544), _u5545), c_Orderings_Otop__class_Otop(tc_fun(_u5544, tc_HOL_Obool)))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_finite__fun__UNIVD2 ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_finite__fun__UNIVD2-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u5547), c_Orderings_Otop__class_Otop(tc_fun(_u5547, tc_HOL_Obool)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u5546, _u5547)), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u5546, _u5547), tc_HOL_Obool)))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_not__add__less1 ( axiom ) converted to clauses:
% 39.89/40.05 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), _u5548), _u5549)), _u5548)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_not__add__less2 ( axiom ) converted to clauses:
% 39.89/40.05 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), _u5550), _u5551)), _u5551)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_nat__add__left__cancel__less ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_nat__add__left__cancel__less-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5557), _u5559)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5555), _u5557)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5555), _u5559))) )).
% 39.89/40.05 cnf(fact_nat__add__left__cancel__less-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5558), _u5560)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5556), _u5558)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5556), _u5560))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_trans__less__add1 ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_trans__less__add1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5561), _u5562)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5561), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5562), _u5563))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_trans__less__add2 ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_trans__less__add2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5564), _u5565)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5564), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5566), _u5565))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_add__less__mono1 ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_add__less__mono1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5567), _u5568)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5567), _u5569)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5568), _u5569))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_add__less__mono ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_add__less__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5570), _u5571)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5572), _u5573)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5570), _u5572)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5571), _u5573))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_less__add__eq__less ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_less__add__eq__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5574), _u5575)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5576), _u5575) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5574), _u5577)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5576), _u5577)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_add__lessD1 ( axiom ) converted to clauses:
% 39.89/40.05 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), _u5578), _u5579)), _u5580)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5578), _u5580)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_termination__basic__simps_I1_J ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_termination__basic__simps_I1_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5581), _u5582)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5581), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5582), _u5583))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_termination__basic__simps_I2_J ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_termination__basic__simps_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5584), _u5585)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5584), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5586), _u5585))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_UNIV__not__empty ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_UNIV__not__empty-1, axiom, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u5587, tc_HOL_Obool)) != c_Orderings_Obot__class_Obot(tc_fun(_u5587, tc_HOL_Obool))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_finite__UNIV ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_finite__UNIV-1, axiom, ( ~class_Finite__Set_Ofinite(_u5588) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u5588), c_Orderings_Otop__class_Otop(tc_fun(_u5588, tc_HOL_Obool)))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_termination__basic__simps_I3_J ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_termination__basic__simps_I3_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5589), _u5590)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5589), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5590), _u5591))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_termination__basic__simps_I4_J ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_termination__basic__simps_I4_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5592), _u5593)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5592), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5594), _u5593))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_le__add2 ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_le__add2-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5595), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5596), _u5595))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_le__add1 ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_le__add1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5597), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5597), _u5598))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_le__iff__add ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_le__iff__add-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5603), _u5605)) | ( _u5605 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5603), skolem116(_u5605, _u5603))) )).
% 39.89/40.05 cnf(fact_le__iff__add-2, axiom, ( ( _u5606 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5604), _u5600)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5604), _u5606)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_nat__add__left__cancel__le ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_nat__add__left__cancel__le-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5612), _u5614)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5610), _u5612)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5610), _u5614))) )).
% 39.89/40.05 cnf(fact_nat__add__left__cancel__le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5613), _u5615)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5611), _u5613)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5611), _u5615))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_trans__le__add1 ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_trans__le__add1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5616), _u5617)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5616), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5617), _u5618))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_trans__le__add2 ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_trans__le__add2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5619), _u5620)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5619), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5621), _u5620))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_add__le__mono1 ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_add__le__mono1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5622), _u5623)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5622), _u5624)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5623), _u5624))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_add__le__mono ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_add__le__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5625), _u5626)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5627), _u5628)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5625), _u5627)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5626), _u5628))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_add__leD2 ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_add__leD2-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5630), _u5631)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5629), _u5630)), _u5631)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_add__leD1 ( axiom ) converted to clauses:
% 39.89/40.05 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), _u5632), _u5633)), _u5634)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5632), _u5634)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_add__leE ( axiom ) converted to clauses:
% 39.89/40.05 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), _u5635), _u5636)), _u5637)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5635), _u5637)) )).
% 39.89/40.05 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), _u5635), _u5636)), _u5637)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5636), _u5637)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_subset__UNIV ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_subset__UNIV-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5638, tc_HOL_Obool)), _u5639), c_Orderings_Otop__class_Otop(tc_fun(_u5638, tc_HOL_Obool)))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_diff__add__inverse2 ( axiom ) converted to clauses:
% 39.89/40.05 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), _u5640), _u5641)), _u5641) = _u5640) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_diff__add__inverse ( axiom ) converted to clauses:
% 39.89/40.05 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), _u5642), _u5643)), _u5642) = _u5643) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_diff__diff__left ( axiom ) converted to clauses:
% 39.89/40.05 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), _u5644), _u5645)), _u5646) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5644), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5645), _u5646))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_diff__cancel ( axiom ) converted to clauses:
% 39.89/40.05 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), _u5647), _u5648)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5647), _u5649)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5648), _u5649)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_diff__cancel2 ( axiom ) converted to clauses:
% 39.89/40.05 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), _u5650), _u5651)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5652), _u5651)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5650), _u5652)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_Un__UNIV__left ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_Un__UNIV__left-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5653, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u5653, tc_HOL_Obool))), _u5654) = c_Orderings_Otop__class_Otop(tc_fun(_u5653, tc_HOL_Obool))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_Un__UNIV__right ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_Un__UNIV__right-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5655, tc_HOL_Obool)), _u5656), c_Orderings_Otop__class_Otop(tc_fun(_u5655, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u5655, tc_HOL_Obool))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_Int__UNIV__left ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_Int__UNIV__left-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5657, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u5657, tc_HOL_Obool))), _u5658) = _u5658) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_Int__UNIV__right ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_Int__UNIV__right-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5659, tc_HOL_Obool)), _u5660), c_Orderings_Otop__class_Otop(tc_fun(_u5659, tc_HOL_Obool))) = _u5660) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_inj__eq ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_inj__eq-1, axiom, ( ~c_Fun_Oinj__on(_u5661, _u5662, _u5663, c_Orderings_Otop__class_Otop(tc_fun(_u5661, tc_HOL_Obool))) | ( hAPP(_u5663, _u5664) != hAPP(_u5663, _u5665)) | ( _u5664 = _u5665) )).
% 39.89/40.05 cnf(fact_inj__eq-2, axiom, ( ~c_Fun_Oinj__on(_u5661, _u5662, _u5663, c_Orderings_Otop__class_Otop(tc_fun(_u5661, tc_HOL_Obool))) | ( _u5664 != _u5665) | ( hAPP(_u5663, _u5664) = hAPP(_u5663, _u5665)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_injD ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_injD-1, axiom, ( ( hAPP(_u5668, _u5669) != hAPP(_u5668, _u5670)) | ( _u5669 = _u5670) | ~c_Fun_Oinj__on(_u5666, _u5667, _u5668, c_Orderings_Otop__class_Otop(tc_fun(_u5666, tc_HOL_Obool))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_fold__image__empty ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_fold__image__empty-1, axiom, ( ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5671, _u5672, _u5673), _u5674), _u5675), c_Orderings_Obot__class_Obot(tc_fun(_u5672, tc_HOL_Obool))) = _u5675) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_card_Ounion__inter ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_card_Ounion__inter-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5676), _u5677)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5676), _u5678)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u5676), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5676, tc_HOL_Obool)), _u5677), _u5678))), hAPP(c_Finite__Set_Ocard(_u5676), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5676, tc_HOL_Obool)), _u5677), _u5678))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u5676), _u5677)), hAPP(c_Finite__Set_Ocard(_u5676), _u5678))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_card__Un__Int ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_card__Un__Int-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5679), _u5680)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5679), _u5681)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u5679), _u5680)), hAPP(c_Finite__Set_Ocard(_u5679), _u5681)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u5679), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5679, tc_HOL_Obool)), _u5680), _u5681))), hAPP(c_Finite__Set_Ocard(_u5679), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5679, tc_HOL_Obool)), _u5680), _u5681)))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_infinite__UNIV__nat ( axiom ) converted to clauses:
% 39.89/40.05 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)))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_setsum__addf ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_setsum__addf-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u5682) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5683, _u5682), hAPP(hAPP(c_COMBS(_u5683, _u5682, _u5682), hAPP(hAPP(c_COMBB(_u5682, tc_fun(_u5682, _u5682), _u5683), c_Groups_Oplus__class_Oplus(_u5682)), _u5684)), _u5685)), _u5686) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5682), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5683, _u5682), _u5684), _u5686)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5683, _u5682), _u5685), _u5686))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_UNIV__def ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_UNIV__def-1, axiom, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u5687, tc_HOL_Obool)) = hAPP(c_Set_OCollect(_u5687), hAPP(c_COMBK(tc_HOL_Obool, _u5687), c_fTrue))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_range__composition ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_range__composition-1, axiom, ( ( hAPP(c_Set_Oimage(_u5688, _u5689, hAPP(hAPP(c_COMBB(_u5690, _u5689, _u5688), _u5691), _u5692)), c_Orderings_Otop__class_Otop(tc_fun(_u5688, tc_HOL_Obool))) = hAPP(c_Set_Oimage(_u5690, _u5689, _u5691), hAPP(c_Set_Oimage(_u5688, _u5690, _u5692), c_Orderings_Otop__class_Otop(tc_fun(_u5688, tc_HOL_Obool))))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_top__greatest ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_top__greatest-1, axiom, ( ~class_Orderings_Otop(_u5693) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5693), _u5694), c_Orderings_Otop__class_Otop(_u5693))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_sup__top__right ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_sup__top__right-1, axiom, ( ~class_Lattices_Obounded__lattice__top(_u5695) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u5695), _u5696), c_Orderings_Otop__class_Otop(_u5695)) = c_Orderings_Otop__class_Otop(_u5695)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_sup__top__left ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_sup__top__left-1, axiom, ( ~class_Lattices_Obounded__lattice__top(_u5697) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u5697), c_Orderings_Otop__class_Otop(_u5697)), _u5698) = c_Orderings_Otop__class_Otop(_u5697)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_inf__top__left ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_inf__top__left-1, axiom, ( ~class_Lattices_Obounded__lattice__top(_u5699) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u5699), c_Orderings_Otop__class_Otop(_u5699)), _u5700) = _u5700) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_inf__top__right ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_inf__top__right-1, axiom, ( ~class_Lattices_Obounded__lattice__top(_u5701) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u5701), _u5702), c_Orderings_Otop__class_Otop(_u5701)) = _u5702) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_inf__eq__top__iff ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_inf__eq__top__iff-1, axiom, ( ~class_Lattices_Obounded__lattice__top(_u5703) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u5703), _u5704), _u5705) != c_Orderings_Otop__class_Otop(_u5703)) | ( _u5704 = c_Orderings_Otop__class_Otop(_u5703)) )).
% 39.89/40.05 cnf(fact_inf__eq__top__iff-2, axiom, ( ~class_Lattices_Obounded__lattice__top(_u5703) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u5703), _u5704), _u5705) != c_Orderings_Otop__class_Otop(_u5703)) | ( _u5705 = c_Orderings_Otop__class_Otop(_u5703)) )).
% 39.89/40.05 cnf(fact_inf__eq__top__iff-3, axiom, ( ~class_Lattices_Obounded__lattice__top(_u5703) | ( _u5704 != c_Orderings_Otop__class_Otop(_u5703)) | ( _u5705 != c_Orderings_Otop__class_Otop(_u5703)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u5703), _u5704), _u5705) = c_Orderings_Otop__class_Otop(_u5703)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_UNIV__option__conv ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_UNIV__option__conv-1, axiom, ( ( c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(_u5706), tc_HOL_Obool)) = hAPP(hAPP(c_Set_Oinsert(tc_Option_Ooption(_u5706)), c_Option_Ooption_ONone(_u5706)), hAPP(c_Set_Oimage(_u5706, tc_Option_Ooption(_u5706), c_Option_Ooption_OSome(_u5706)), c_Orderings_Otop__class_Otop(tc_fun(_u5706, tc_HOL_Obool))))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_card__Un__disjoint ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_card__Un__disjoint-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5707), _u5708)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5707), _u5709)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5707, tc_HOL_Obool)), _u5708), _u5709) != c_Orderings_Obot__class_Obot(tc_fun(_u5707, tc_HOL_Obool))) | ( hAPP(c_Finite__Set_Ocard(_u5707), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5707, tc_HOL_Obool)), _u5708), _u5709)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u5707), _u5708)), hAPP(c_Finite__Set_Ocard(_u5707), _u5709))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_add__le__less__mono ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_add__le__less__mono-1, axiom, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u5710) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5710), _u5711), _u5712)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5710), _u5713), _u5714)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5710), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5710), _u5711), _u5713)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5710), _u5712), _u5714))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_add__less__le__mono ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_add__less__le__mono-1, axiom, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u5715) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5715), _u5716), _u5717)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5715), _u5718), _u5719)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5715), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5715), _u5716), _u5718)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5715), _u5717), _u5719))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_card__image ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_card__image-1, axiom, ( ~c_Fun_Oinj__on(_u5720, _u5721, _u5722, _u5723) | ( hAPP(c_Finite__Set_Ocard(_u5721), hAPP(c_Set_Oimage(_u5720, _u5721, _u5722), _u5723)) = hAPP(c_Finite__Set_Ocard(_u5720), _u5723)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_diff__minus__eq__add ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_diff__minus__eq__add-1, axiom, ( ~class_Groups_Ogroup__add(_u5724) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5724), _u5725), hAPP(c_Groups_Ouminus__class_Ouminus(_u5724), _u5726)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5724), _u5725), _u5726)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_ab__diff__minus ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_ab__diff__minus-1, axiom, ( ~class_Groups_Oab__group__add(_u5727) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5727), _u5728), _u5729) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5727), _u5728), hAPP(c_Groups_Ouminus__class_Ouminus(_u5727), _u5729))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_diff__def ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_diff__def-1, axiom, ( ~class_Groups_Ogroup__add(_u5730) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5730), _u5731), _u5732) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5730), _u5731), hAPP(c_Groups_Ouminus__class_Ouminus(_u5730), _u5732))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_rangeI ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_rangeI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u5733), hAPP(_u5734, _u5735)), hAPP(c_Set_Oimage(_u5736, _u5733, _u5734), c_Orderings_Otop__class_Otop(tc_fun(_u5736, tc_HOL_Obool))))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_range__eqI ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_range__eqI-1, axiom, ( ( _u5737 != hAPP(_u5738, _u5739)) | hBOOL(hAPP(hAPP(c_member(_u5740), _u5737), hAPP(c_Set_Oimage(_u5741, _u5740, _u5738), c_Orderings_Otop__class_Otop(tc_fun(_u5741, tc_HOL_Obool))))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_less__diff__conv ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_less__diff__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5745), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5747), _u5749))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5745), _u5749)), _u5747)) )).
% 39.89/40.05 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), _u5746), _u5750)), _u5748)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5746), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5748), _u5750))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_add__diff__inverse ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_add__diff__inverse-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5751), _u5752)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5752), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5751), _u5752)) = _u5751) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_diff__add__assoc2 ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_diff__add__assoc2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5753), _u5754)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5754), _u5755)), _u5753) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5754), _u5753)), _u5755)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_add__diff__assoc2 ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_add__diff__assoc2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5756), _u5757)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5757), _u5756)), _u5758) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5757), _u5758)), _u5756)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_diff__add__assoc ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_diff__add__assoc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5759), _u5760)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5761), _u5760)), _u5759) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5761), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5760), _u5759))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_le__imp__diff__is__add ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_le__imp__diff__is__add-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5762), _u5763)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5763), _u5762) != _u5764) | ( _u5763 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5764), _u5762)) )).
% 39.89/40.05 cnf(fact_le__imp__diff__is__add-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5762), _u5763)) | ( _u5763 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5764), _u5762)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5763), _u5762) = _u5764) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_le__add__diff__inverse2 ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_le__add__diff__inverse2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5765), _u5766)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5766), _u5765)), _u5765) = _u5766) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_le__diff__conv2 ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_le__diff__conv2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5767), _u5768)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5769), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5768), _u5767))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5769), _u5767)), _u5768)) )).
% 39.89/40.05 cnf(fact_le__diff__conv2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5767), _u5768)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5769), _u5767)), _u5768)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5769), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5768), _u5767))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_add__diff__assoc ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_add__diff__assoc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5770), _u5771)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5772), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5771), _u5770)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5772), _u5771)), _u5770)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_le__add__diff__inverse ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_le__add__diff__inverse-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5773), _u5774)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5773), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5774), _u5773)) = _u5774) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_le__add__diff ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_le__add__diff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5775), _u5776)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5777), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5776), _u5777)), _u5775))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_le__diff__conv ( axiom ) converted to clauses:
% 39.89/40.05 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), _u5781), _u5783)), _u5785)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5781), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5785), _u5783))) )).
% 39.89/40.05 cnf(fact_le__diff__conv-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5782), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5786), _u5784))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5782), _u5784)), _u5786)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_diff__diff__right ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_diff__diff__right-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5787), _u5788)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5789), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5788), _u5787)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5789), _u5787)), _u5788)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_Diff__UNIV ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_Diff__UNIV-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5790, tc_HOL_Obool)), _u5791), c_Orderings_Otop__class_Otop(tc_fun(_u5790, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u5790, tc_HOL_Obool))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_comp__surj ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_comp__surj-1, axiom, ( ( hAPP(c_Set_Oimage(_u5792, _u5793, _u5794), c_Orderings_Otop__class_Otop(tc_fun(_u5792, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u5793, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u5793, _u5795, _u5796), c_Orderings_Otop__class_Otop(tc_fun(_u5793, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u5795, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u5792, _u5795, hAPP(c_Fun_Ocomp(_u5793, _u5795, _u5792, _u5796), _u5794)), c_Orderings_Otop__class_Otop(tc_fun(_u5792, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u5795, tc_HOL_Obool))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_inj__image__eq__iff ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_inj__image__eq__iff-1, axiom, ( ~c_Fun_Oinj__on(_u5797, _u5798, _u5799, c_Orderings_Otop__class_Otop(tc_fun(_u5797, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u5797, _u5798, _u5799), _u5800) != hAPP(c_Set_Oimage(_u5797, _u5798, _u5799), _u5801)) | ( _u5800 = _u5801) )).
% 39.89/40.05 cnf(fact_inj__image__eq__iff-2, axiom, ( ~c_Fun_Oinj__on(_u5797, _u5798, _u5799, c_Orderings_Otop__class_Otop(tc_fun(_u5797, tc_HOL_Obool))) | ( _u5800 != _u5801) | ( hAPP(c_Set_Oimage(_u5797, _u5798, _u5799), _u5800) = hAPP(c_Set_Oimage(_u5797, _u5798, _u5799), _u5801)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_inj__comp ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_inj__comp-1, axiom, ( ~c_Fun_Oinj__on(_u5802, _u5803, _u5804, c_Orderings_Otop__class_Otop(tc_fun(_u5802, tc_HOL_Obool))) | ~c_Fun_Oinj__on(_u5805, _u5802, _u5806, c_Orderings_Otop__class_Otop(tc_fun(_u5805, tc_HOL_Obool))) | c_Fun_Oinj__on(_u5805, _u5803, hAPP(c_Fun_Ocomp(_u5802, _u5803, _u5805, _u5804), _u5806), c_Orderings_Otop__class_Otop(tc_fun(_u5805, tc_HOL_Obool))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_Compl__empty__eq ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_Compl__empty__eq-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5807, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u5807, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u5807, tc_HOL_Obool))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_Compl__UNIV__eq ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_Compl__UNIV__eq-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5808, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u5808, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u5808, tc_HOL_Obool))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_finite__compl ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_finite__compl-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5809), _u5810)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5809), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5809, tc_HOL_Obool)), _u5810))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u5809), c_Orderings_Otop__class_Otop(tc_fun(_u5809, tc_HOL_Obool)))) )).
% 39.89/40.05 cnf(fact_finite__compl-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5809), _u5810)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5809), c_Orderings_Otop__class_Otop(tc_fun(_u5809, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u5809), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5809, tc_HOL_Obool)), _u5810))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_Compl__partition2 ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_Compl__partition2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5811, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5811, tc_HOL_Obool)), _u5812)), _u5812) = c_Orderings_Otop__class_Otop(tc_fun(_u5811, tc_HOL_Obool))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_Compl__partition ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_Compl__partition-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5813, tc_HOL_Obool)), _u5814), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5813, tc_HOL_Obool)), _u5814)) = c_Orderings_Otop__class_Otop(tc_fun(_u5813, tc_HOL_Obool))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_Compl__eq__Diff__UNIV ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_Compl__eq__Diff__UNIV-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5815, tc_HOL_Obool)), _u5816) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5815, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u5815, tc_HOL_Obool))), _u5816)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_setsum_Odistrib ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_setsum_Odistrib-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u5817) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5818), _u5819)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5818, _u5817), hAPP(hAPP(c_COMBS(_u5818, _u5817, _u5817), hAPP(hAPP(c_COMBB(_u5817, tc_fun(_u5817, _u5817), _u5818), c_Groups_Oplus__class_Oplus(_u5817)), _u5820)), _u5821)), _u5819) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5817), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5818, _u5817), _u5820), _u5819)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5818, _u5817), _u5821), _u5819))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_finite__Collect__not ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_finite__Collect__not-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5822), hAPP(c_Set_OCollect(_u5822), _u5823))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5822), hAPP(c_Set_OCollect(_u5822), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u5822), c_fNot), _u5823)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u5822), c_Orderings_Otop__class_Otop(tc_fun(_u5822, tc_HOL_Obool)))) )).
% 39.89/40.05 cnf(fact_finite__Collect__not-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5822), hAPP(c_Set_OCollect(_u5822), _u5823))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5822), c_Orderings_Otop__class_Otop(tc_fun(_u5822, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u5822), hAPP(c_Set_OCollect(_u5822), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u5822), c_fNot), _u5823)))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_SUP__UN__eq ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_SUP__UN__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5828, tc_fun(_u5830, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u5828, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u5830, tc_HOL_Obool), tc_fun(_u5830, tc_HOL_Obool), _u5828), hAPP(c_COMBC(_u5830, tc_fun(_u5830, tc_HOL_Obool), tc_HOL_Obool), c_member(_u5830))), _u5832)), _u5834)) | hBOOL(hAPP(hAPP(c_member(_u5830), _u5834), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5828, tc_fun(_u5830, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u5828, tc_HOL_Obool))), _u5832))) )).
% 39.89/40.05 cnf(fact_SUP__UN__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u5831), _u5835), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5829, tc_fun(_u5831, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u5829, tc_HOL_Obool))), _u5833))) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5829, tc_fun(_u5831, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u5829, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u5831, tc_HOL_Obool), tc_fun(_u5831, tc_HOL_Obool), _u5829), hAPP(c_COMBC(_u5831, tc_fun(_u5831, tc_HOL_Obool), tc_HOL_Obool), c_member(_u5831))), _u5833)), _u5835)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_finite__range__imageI ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_finite__range__imageI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5836), hAPP(c_Set_Oimage(_u5837, _u5836, _u5838), c_Orderings_Otop__class_Otop(tc_fun(_u5837, tc_HOL_Obool))))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u5839), hAPP(c_Set_Oimage(_u5837, _u5839, hAPP(hAPP(c_COMBB(_u5836, _u5839, _u5837), _u5840), _u5838)), c_Orderings_Otop__class_Otop(tc_fun(_u5837, tc_HOL_Obool))))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_the__inv__f__f ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_the__inv__f__f-1, axiom, ( ~c_Fun_Oinj__on(_u5841, _u5842, _u5843, c_Orderings_Otop__class_Otop(tc_fun(_u5841, tc_HOL_Obool))) | ( hAPP(c_Fun_Othe__inv__into(_u5841, _u5842, c_Orderings_Otop__class_Otop(tc_fun(_u5841, tc_HOL_Obool)), _u5843), hAPP(_u5843, _u5844)) = _u5844) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_folding__image__simple_Oeq__fold__g ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_folding__image__simple_Oeq__fold__g-1, axiom, ( ~c_Finite__Set_Ofolding__image__simple(_u5845, _u5846, _u5847, _u5848, _u5849, _u5850) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5846), _u5851)) | ( hAPP(_u5850, _u5851) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5845, _u5846, _u5847), _u5849), _u5848), _u5851)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_folding__image_Oeq__fold ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_folding__image_Oeq__fold-1, axiom, ( ~c_Finite__Set_Ofolding__image(_u5852, _u5853, _u5854, _u5855, _u5856) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5853), _u5857)) | ( hAPP(hAPP(_u5856, _u5858), _u5857) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5852, _u5853, _u5854), _u5858), _u5855), _u5857)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_dom__const ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_dom__const-1, axiom, ( ( c_Map_Odom(_u5859, _u5860, hAPP(hAPP(c_COMBB(_u5860, tc_Option_Ooption(_u5860), _u5859), c_Option_Ooption_OSome(_u5860)), _u5861)) = c_Orderings_Otop__class_Otop(tc_fun(_u5859, tc_HOL_Obool))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_card__insert__le ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_card__insert__le-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5862), _u5863)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u5862), _u5863)), hAPP(c_Finite__Set_Ocard(_u5862), hAPP(hAPP(c_Set_Oinsert(_u5862), _u5864), _u5863)))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_card__mono ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_card__mono-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5865), _u5866)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5865, tc_HOL_Obool)), _u5867), _u5866)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u5865), _u5867)), hAPP(c_Finite__Set_Ocard(_u5865), _u5866))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_card__seteq ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_card__seteq-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5868), _u5869)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5868, tc_HOL_Obool)), _u5870), _u5869)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u5868), _u5869)), hAPP(c_Finite__Set_Ocard(_u5868), _u5870))) | ( _u5870 = _u5869) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_card__image__le ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_card__image__le-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5871), _u5872)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u5873), hAPP(c_Set_Oimage(_u5871, _u5873, _u5874), _u5872))), hAPP(c_Finite__Set_Ocard(_u5871), _u5872))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_eq__card__imp__inj__on ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_eq__card__imp__inj__on-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5875), _u5876)) | ( hAPP(c_Finite__Set_Ocard(_u5877), hAPP(c_Set_Oimage(_u5875, _u5877, _u5878), _u5876)) != hAPP(c_Finite__Set_Ocard(_u5875), _u5876)) | c_Fun_Oinj__on(_u5875, _u5877, _u5878, _u5876) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_inj__on__iff__eq__card ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_inj__on__iff__eq__card-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5879), _u5880)) | ~c_Fun_Oinj__on(_u5879, _u5881, _u5882, _u5880) | ( hAPP(c_Finite__Set_Ocard(_u5881), hAPP(c_Set_Oimage(_u5879, _u5881, _u5882), _u5880)) = hAPP(c_Finite__Set_Ocard(_u5879), _u5880)) )).
% 39.89/40.05 cnf(fact_inj__on__iff__eq__card-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5879), _u5880)) | ( hAPP(c_Finite__Set_Ocard(_u5881), hAPP(c_Set_Oimage(_u5879, _u5881, _u5882), _u5880)) != hAPP(c_Finite__Set_Ocard(_u5879), _u5880)) | c_Fun_Oinj__on(_u5879, _u5881, _u5882, _u5880) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_pigeonhole ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_pigeonhole-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u5883), hAPP(c_Set_Oimage(_u5884, _u5883, _u5885), _u5886))), hAPP(c_Finite__Set_Ocard(_u5884), _u5886))) | ~c_Fun_Oinj__on(_u5884, _u5883, _u5885, _u5886) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_inj__fun ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_inj__fun-1, axiom, ( ~c_Fun_Oinj__on(_u5887, _u5888, _u5889, c_Orderings_Otop__class_Otop(tc_fun(_u5887, tc_HOL_Obool))) | c_Fun_Oinj__on(_u5887, tc_fun(_u5890, _u5888), hAPP(hAPP(c_COMBB(_u5888, tc_fun(_u5890, _u5888), _u5887), c_COMBK(_u5888, _u5890)), _u5889), c_Orderings_Otop__class_Otop(tc_fun(_u5887, tc_HOL_Obool))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_card__quotient__disjoint ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_card__quotient__disjoint-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5891), _u5892)) | ~c_Fun_Oinj__on(_u5891, tc_fun(tc_fun(_u5891, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u5891, tc_fun(tc_prod(_u5891, _u5891), tc_HOL_Obool), tc_fun(tc_fun(_u5891, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5891, tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u5891, _u5891), tc_HOL_Obool), tc_fun(tc_fun(_u5891, tc_HOL_Obool), tc_HOL_Obool)), _u5891), c_Equiv__Relations_Oquotient(_u5891)), hAPP(hAPP(c_COMBC(_u5891, tc_fun(_u5891, tc_HOL_Obool), tc_fun(_u5891, tc_HOL_Obool)), c_Set_Oinsert(_u5891)), c_Orderings_Obot__class_Obot(tc_fun(_u5891, tc_HOL_Obool))))), _u5893), _u5892) | ( hAPP(c_Finite__Set_Ocard(tc_fun(_u5891, tc_HOL_Obool)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u5891), _u5892), _u5893)) = hAPP(c_Finite__Set_Ocard(_u5891), _u5892)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_psubset__card__mono ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_psubset__card__mono-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5894), _u5895)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u5894, tc_HOL_Obool)), _u5896), _u5895)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u5894), _u5896)), hAPP(c_Finite__Set_Ocard(_u5894), _u5895))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_compl__bot__eq ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_compl__bot__eq-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u5897) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5897), c_Orderings_Obot__class_Obot(_u5897)) = c_Orderings_Otop__class_Otop(_u5897)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_compl__top__eq ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_compl__top__eq-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u5898) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5898), c_Orderings_Otop__class_Otop(_u5898)) = c_Orderings_Obot__class_Obot(_u5898)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_compl__sup__top ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_compl__sup__top-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u5899) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u5899), hAPP(c_Groups_Ouminus__class_Ouminus(_u5899), _u5900)), _u5900) = c_Orderings_Otop__class_Otop(_u5899)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_sup__compl__top ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_sup__compl__top-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u5901) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u5901), _u5902), hAPP(c_Groups_Ouminus__class_Ouminus(_u5901), _u5902)) = c_Orderings_Otop__class_Otop(_u5901)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_range__ex1__eq ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_range__ex1__eq-1, axiom, ( ~c_Fun_Oinj__on(_u5907, _u5908, _u5909, c_Orderings_Otop__class_Otop(tc_fun(_u5907, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u5908), _u5910), hAPP(c_Set_Oimage(_u5907, _u5908, _u5909), c_Orderings_Otop__class_Otop(tc_fun(_u5907, tc_HOL_Obool))))) | ( _u5910 = hAPP(_u5909, skolem117(_u5910, _u5909, _u5908, _u5907))) )).
% 39.89/40.05 cnf(fact_range__ex1__eq-2, axiom, ( ~c_Fun_Oinj__on(_u5907, _u5908, _u5909, c_Orderings_Otop__class_Otop(tc_fun(_u5907, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u5908), _u5910), hAPP(c_Set_Oimage(_u5907, _u5908, _u5909), c_Orderings_Otop__class_Otop(tc_fun(_u5907, tc_HOL_Obool))))) | ( _u5910 != hAPP(_u5909, _u5903)) | ( _u5903 = skolem117(_u5910, _u5909, _u5908, _u5907)) )).
% 39.89/40.05 cnf(fact_range__ex1__eq-3, axiom, ( ~c_Fun_Oinj__on(_u5907, _u5908, _u5909, c_Orderings_Otop__class_Otop(tc_fun(_u5907, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u5908), _u5910), hAPP(c_Set_Oimage(_u5907, _u5908, _u5909), c_Orderings_Otop__class_Otop(tc_fun(_u5907, tc_HOL_Obool))))) | ( _u5910 != hAPP(_u5909, _u5906)) | ( _u5910 = hAPP(_u5909, skolem118(_u5910, _u5909, _u5908, _u5907, _u5906))) )).
% 39.89/40.05 cnf(fact_range__ex1__eq-4, axiom, ( ~c_Fun_Oinj__on(_u5907, _u5908, _u5909, c_Orderings_Otop__class_Otop(tc_fun(_u5907, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u5908), _u5910), hAPP(c_Set_Oimage(_u5907, _u5908, _u5909), c_Orderings_Otop__class_Otop(tc_fun(_u5907, tc_HOL_Obool))))) | ( _u5910 != hAPP(_u5909, _u5906)) | ( skolem118(_u5910, _u5909, _u5908, _u5907, _u5906) != _u5906) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_inj__image__mem__iff ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_inj__image__mem__iff-1, axiom, ( ~c_Fun_Oinj__on(_u5911, _u5912, _u5913, c_Orderings_Otop__class_Otop(tc_fun(_u5911, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u5912), hAPP(_u5913, _u5914)), hAPP(c_Set_Oimage(_u5911, _u5912, _u5913), _u5915))) | hBOOL(hAPP(hAPP(c_member(_u5911), _u5914), _u5915)) )).
% 39.89/40.05 cnf(fact_inj__image__mem__iff-2, axiom, ( ~c_Fun_Oinj__on(_u5911, _u5912, _u5913, c_Orderings_Otop__class_Otop(tc_fun(_u5911, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u5911), _u5914), _u5915)) | hBOOL(hAPP(hAPP(c_member(_u5912), hAPP(_u5913, _u5914)), hAPP(c_Set_Oimage(_u5911, _u5912, _u5913), _u5915))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_finite__UNIV__surj__inj ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_finite__UNIV__surj__inj-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5916), c_Orderings_Otop__class_Otop(tc_fun(_u5916, tc_HOL_Obool)))) | ( hAPP(c_Set_Oimage(_u5916, _u5916, _u5917), c_Orderings_Otop__class_Otop(tc_fun(_u5916, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u5916, tc_HOL_Obool))) | c_Fun_Oinj__on(_u5916, _u5916, _u5917, c_Orderings_Otop__class_Otop(tc_fun(_u5916, tc_HOL_Obool))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_finite__UNIV__inj__surj ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_finite__UNIV__inj__surj-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5918), c_Orderings_Otop__class_Otop(tc_fun(_u5918, tc_HOL_Obool)))) | ~c_Fun_Oinj__on(_u5918, _u5918, _u5919, c_Orderings_Otop__class_Otop(tc_fun(_u5918, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u5918, _u5918, _u5919), c_Orderings_Otop__class_Otop(tc_fun(_u5918, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u5918, tc_HOL_Obool))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_inj__image__subset__iff ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_inj__image__subset__iff-1, axiom, ( ~c_Fun_Oinj__on(_u5920, _u5921, _u5922, c_Orderings_Otop__class_Otop(tc_fun(_u5920, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5921, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u5920, _u5921, _u5922), _u5923)), hAPP(c_Set_Oimage(_u5920, _u5921, _u5922), _u5924))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5920, tc_HOL_Obool)), _u5923), _u5924)) )).
% 39.89/40.05 cnf(fact_inj__image__subset__iff-2, axiom, ( ~c_Fun_Oinj__on(_u5920, _u5921, _u5922, c_Orderings_Otop__class_Otop(tc_fun(_u5920, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5920, tc_HOL_Obool)), _u5923), _u5924)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5921, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u5920, _u5921, _u5922), _u5923)), hAPP(c_Set_Oimage(_u5920, _u5921, _u5922), _u5924))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_image__Int ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_image__Int-1, axiom, ( ~c_Fun_Oinj__on(_u5925, _u5926, _u5927, c_Orderings_Otop__class_Otop(tc_fun(_u5925, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u5925, _u5926, _u5927), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5925, tc_HOL_Obool)), _u5928), _u5929)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5926, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u5925, _u5926, _u5927), _u5928)), hAPP(c_Set_Oimage(_u5925, _u5926, _u5927), _u5929))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_image__set__diff ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_image__set__diff-1, axiom, ( ~c_Fun_Oinj__on(_u5930, _u5931, _u5932, c_Orderings_Otop__class_Otop(tc_fun(_u5930, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u5930, _u5931, _u5932), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5930, tc_HOL_Obool)), _u5933), _u5934)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5931, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u5930, _u5931, _u5932), _u5933)), hAPP(c_Set_Oimage(_u5930, _u5931, _u5932), _u5934))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_surj__Compl__image__subset ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_surj__Compl__image__subset-1, axiom, ( ( hAPP(c_Set_Oimage(_u5935, _u5936, _u5937), c_Orderings_Otop__class_Otop(tc_fun(_u5935, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u5936, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5936, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5936, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u5935, _u5936, _u5937), _u5938))), hAPP(c_Set_Oimage(_u5935, _u5936, _u5937), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5935, tc_HOL_Obool)), _u5938)))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_card__bij__eq ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_card__bij__eq-1, axiom, ( ~c_Fun_Oinj__on(_u5939, _u5940, _u5941, _u5942) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5940, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u5939, _u5940, _u5941), _u5942)), _u5943)) | ~c_Fun_Oinj__on(_u5940, _u5939, _u5944, _u5943) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5939, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u5940, _u5939, _u5944), _u5943)), _u5942)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5939), _u5942)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5940), _u5943)) | ( hAPP(c_Finite__Set_Ocard(_u5939), _u5942) = hAPP(c_Finite__Set_Ocard(_u5940), _u5943)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_card__Diff__subset ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_card__Diff__subset-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5945), _u5946)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5945, tc_HOL_Obool)), _u5946), _u5947)) | ( hAPP(c_Finite__Set_Ocard(_u5945), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5945, tc_HOL_Obool)), _u5947), _u5946)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u5945), _u5947)), hAPP(c_Finite__Set_Ocard(_u5945), _u5946))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_finite__range__updI ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_finite__range__updI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u5948)), hAPP(c_Set_Oimage(_u5949, tc_Option_Ooption(_u5948), _u5950), c_Orderings_Otop__class_Otop(tc_fun(_u5949, tc_HOL_Obool))))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u5948)), hAPP(c_Set_Oimage(_u5949, tc_Option_Ooption(_u5948), hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u5949, tc_Option_Ooption(_u5948)), _u5950), _u5951), hAPP(c_Option_Ooption_OSome(_u5948), _u5952))), c_Orderings_Otop__class_Otop(tc_fun(_u5949, tc_HOL_Obool))))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_card__Diff__subset__Int ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_card__Diff__subset__Int-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5953), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5953, tc_HOL_Obool)), _u5954), _u5955))) | ( hAPP(c_Finite__Set_Ocard(_u5953), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5953, tc_HOL_Obool)), _u5954), _u5955)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u5953), _u5954)), hAPP(c_Finite__Set_Ocard(_u5953), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5953, tc_HOL_Obool)), _u5954), _u5955)))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_diff__card__le__card__Diff ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_diff__card__le__card__Diff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5956), _u5957)) | 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(_u5956), _u5958)), hAPP(c_Finite__Set_Ocard(_u5956), _u5957))), hAPP(c_Finite__Set_Ocard(_u5956), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5956, tc_HOL_Obool)), _u5958), _u5957)))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_inj__singleton ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_inj__singleton-1, axiom, ( c_Fun_Oinj__on(_u5959, tc_fun(_u5959, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u5959, tc_fun(_u5959, tc_HOL_Obool), tc_fun(_u5959, tc_HOL_Obool)), c_Set_Oinsert(_u5959)), c_Orderings_Obot__class_Obot(tc_fun(_u5959, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u5959, tc_HOL_Obool))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_setsum_Oinsert ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_setsum_Oinsert-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u5960) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5961), _u5962)) | hBOOL(hAPP(hAPP(c_member(_u5961), _u5963), _u5962)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5961, _u5960), _u5964), hAPP(hAPP(c_Set_Oinsert(_u5961), _u5963), _u5962)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5960), hAPP(_u5964, _u5963)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5961, _u5960), _u5964), _u5962))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_setsum__insert ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_setsum__insert-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u5965) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5966), _u5967)) | hBOOL(hAPP(hAPP(c_member(_u5966), _u5968), _u5967)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5966, _u5965), _u5969), hAPP(hAPP(c_Set_Oinsert(_u5966), _u5968), _u5967)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5965), hAPP(_u5969, _u5968)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5966, _u5965), _u5969), _u5967))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_card__psubset ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_card__psubset-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5970), _u5971)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5970, tc_HOL_Obool)), _u5972), _u5971)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u5970), _u5972)), hAPP(c_Finite__Set_Ocard(_u5970), _u5971))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u5970, tc_HOL_Obool)), _u5972), _u5971)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_setsum__Un__Int ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_setsum__Un__Int-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u5973) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5974), _u5975)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5974), _u5976)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5973), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5974, _u5973), _u5977), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5974, tc_HOL_Obool)), _u5975), _u5976))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5974, _u5973), _u5977), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5974, tc_HOL_Obool)), _u5975), _u5976))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5973), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5974, _u5973), _u5977), _u5975)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5974, _u5973), _u5977), _u5976))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_SUP__UN__eq2 ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_SUP__UN__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5984, tc_fun(_u5986, tc_fun(_u5988, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u5984, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u5986, _u5988), tc_HOL_Obool), tc_fun(_u5986, tc_fun(_u5988, tc_HOL_Obool)), _u5984), hAPP(c_COMBC(_u5986, tc_fun(tc_prod(_u5986, _u5988), tc_HOL_Obool), tc_fun(_u5988, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5988, tc_fun(tc_fun(tc_prod(_u5986, _u5988), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u5986, _u5988), tc_HOL_Obool), tc_fun(_u5988, tc_HOL_Obool)), _u5986), c_COMBC(_u5988, tc_fun(tc_prod(_u5986, _u5988), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5988, tc_prod(_u5986, _u5988)), tc_fun(_u5988, tc_fun(tc_fun(tc_prod(_u5986, _u5988), tc_HOL_Obool), tc_HOL_Obool)), _u5986), hAPP(c_COMBB(tc_prod(_u5986, _u5988), tc_fun(tc_fun(tc_prod(_u5986, _u5988), tc_HOL_Obool), tc_HOL_Obool), _u5988), c_member(tc_prod(_u5986, _u5988)))), c_Product__Type_OPair(_u5986, _u5988))))), _u5990)), _u5992), _u5994)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u5986, _u5988)), hAPP(hAPP(c_Product__Type_OPair(_u5986, _u5988), _u5992), _u5994)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5984, tc_fun(tc_prod(_u5986, _u5988), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u5984, tc_HOL_Obool))), _u5990))) )).
% 39.89/40.05 cnf(fact_SUP__UN__eq2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u5987, _u5989)), hAPP(hAPP(c_Product__Type_OPair(_u5987, _u5989), _u5993), _u5995)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5985, tc_fun(tc_prod(_u5987, _u5989), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u5985, tc_HOL_Obool))), _u5991))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5985, tc_fun(_u5987, tc_fun(_u5989, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u5985, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u5987, _u5989), tc_HOL_Obool), tc_fun(_u5987, tc_fun(_u5989, tc_HOL_Obool)), _u5985), hAPP(c_COMBC(_u5987, tc_fun(tc_prod(_u5987, _u5989), tc_HOL_Obool), tc_fun(_u5989, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5989, tc_fun(tc_fun(tc_prod(_u5987, _u5989), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u5987, _u5989), tc_HOL_Obool), tc_fun(_u5989, tc_HOL_Obool)), _u5987), c_COMBC(_u5989, tc_fun(tc_prod(_u5987, _u5989), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5989, tc_prod(_u5987, _u5989)), tc_fun(_u5989, tc_fun(tc_fun(tc_prod(_u5987, _u5989), tc_HOL_Obool), tc_HOL_Obool)), _u5987), hAPP(c_COMBB(tc_prod(_u5987, _u5989), tc_fun(tc_fun(tc_prod(_u5987, _u5989), tc_HOL_Obool), tc_HOL_Obool), _u5989), c_member(tc_prod(_u5987, _u5989)))), c_Product__Type_OPair(_u5987, _u5989))))), _u5991)), _u5993), _u5995)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_inj__image__Compl__subset ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_inj__image__Compl__subset-1, axiom, ( ~c_Fun_Oinj__on(_u5996, _u5997, _u5998, c_Orderings_Otop__class_Otop(tc_fun(_u5996, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5997, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u5996, _u5997, _u5998), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5996, tc_HOL_Obool)), _u5999))), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5997, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u5996, _u5997, _u5998), _u5999)))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_card__Diff1__le ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_card__Diff1__le-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6000), _u6001)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u6000), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6000, tc_HOL_Obool)), _u6001), hAPP(hAPP(c_Set_Oinsert(_u6000), _u6002), c_Orderings_Obot__class_Obot(tc_fun(_u6000, tc_HOL_Obool)))))), hAPP(c_Finite__Set_Ocard(_u6000), _u6001))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_card__inj__on__le ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_card__inj__on__le-1, axiom, ( ~c_Fun_Oinj__on(_u6003, _u6004, _u6005, _u6006) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6004, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u6003, _u6004, _u6005), _u6006)), _u6007)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6004), _u6007)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u6003), _u6006)), hAPP(c_Finite__Set_Ocard(_u6004), _u6007))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_inj__on__iff__card__le ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_inj__on__iff__card__le-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6010), _u6011)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6012), _u6013)) | ~c_Fun_Oinj__on(_u6010, _u6012, _u6008, _u6011) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6012, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u6010, _u6012, _u6008), _u6011)), _u6013)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u6010), _u6011)), hAPP(c_Finite__Set_Ocard(_u6012), _u6013))) )).
% 39.89/40.05 cnf(fact_inj__on__iff__card__le-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6010), _u6011)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6012), _u6013)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u6010), _u6011)), hAPP(c_Finite__Set_Ocard(_u6012), _u6013))) | c_Fun_Oinj__on(_u6010, _u6012, skolem119(_u6013, _u6012, _u6011, _u6010), _u6011) )).
% 39.89/40.05 cnf(fact_inj__on__iff__card__le-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6010), _u6011)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6012), _u6013)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u6010), _u6011)), hAPP(c_Finite__Set_Ocard(_u6012), _u6013))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6012, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u6010, _u6012, skolem119(_u6013, _u6012, _u6011, _u6010)), _u6011)), _u6013)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_setsum_Oinsert__remove ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_setsum_Oinsert__remove-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u6014) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6015), _u6016)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6015, _u6014), _u6017), hAPP(hAPP(c_Set_Oinsert(_u6015), _u6018), _u6016)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6014), hAPP(_u6017, _u6018)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6015, _u6014), _u6017), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6015, tc_HOL_Obool)), _u6016), hAPP(hAPP(c_Set_Oinsert(_u6015), _u6018), c_Orderings_Obot__class_Obot(tc_fun(_u6015, tc_HOL_Obool))))))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_setsum__Un__disjoint ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_setsum__Un__disjoint-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u6019) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6020), _u6021)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6020), _u6022)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6020, tc_HOL_Obool)), _u6021), _u6022) != c_Orderings_Obot__class_Obot(tc_fun(_u6020, tc_HOL_Obool))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6020, _u6019), _u6023), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6020, tc_HOL_Obool)), _u6021), _u6022)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6019), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6020, _u6019), _u6023), _u6021)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6020, _u6019), _u6023), _u6022))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_setsum__Un ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_setsum__Un-1, axiom, ( ~class_Groups_Oab__group__add(_u6024) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6025), _u6026)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6025), _u6027)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6025, _u6024), _u6028), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6025, tc_HOL_Obool)), _u6026), _u6027)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6024), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6024), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6025, _u6024), _u6028), _u6026)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6025, _u6024), _u6028), _u6027))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6025, _u6024), _u6028), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6025, tc_HOL_Obool)), _u6026), _u6027)))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_option_Osimps_I4_J ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_option_Osimps_I4_J-1, axiom, ( ( hAPP(c_Option_Ooption_Ooption__case(_u6029, _u6030, _u6031, _u6032), c_Option_Ooption_ONone(_u6030)) = _u6031) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_option_Osimps_I5_J ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_option_Osimps_I5_J-1, axiom, ( ( hAPP(c_Option_Ooption_Ooption__case(_u6033, _u6034, _u6035, _u6036), hAPP(c_Option_Ooption_OSome(_u6034), _u6037)) = hAPP(_u6036, _u6037)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_setsum__Un__nat ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_setsum__Un__nat-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6038), _u6039)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6038), _u6040)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6038, tc_Nat_Onat), _u6041), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6038, tc_HOL_Obool)), _u6039), _u6040)) = 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(_u6038, tc_Nat_Onat), _u6041), _u6039)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6038, tc_Nat_Onat), _u6041), _u6040))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6038, tc_Nat_Onat), _u6041), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6038, tc_HOL_Obool)), _u6039), _u6040)))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_setsum__cases ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_setsum__cases-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u6042) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6043), _u6044)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6043, _u6042), hAPP(hAPP(c_COMBS(_u6043, _u6042, _u6042), hAPP(hAPP(c_COMBS(_u6043, _u6042, tc_fun(_u6042, _u6042)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u6042, tc_fun(_u6042, _u6042)), _u6043), c_If(_u6042)), _u6045)), _u6046)), _u6047)), _u6044) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6042), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6043, _u6042), _u6046), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6043, tc_HOL_Obool)), _u6044), hAPP(c_Set_OCollect(_u6043), _u6045)))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6043, _u6042), _u6047), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6043, tc_HOL_Obool)), _u6044), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6043, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u6043), _u6045)))))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J-1, axiom, ( ~class_Rings_Ocomm__ring__1(_u6048) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6048), _u6049), _u6050) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6048), _u6049), hAPP(c_Groups_Ouminus__class_Ouminus(_u6048), _u6050))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_comm__monoid__big_OF__eq ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_comm__monoid__big_OF__eq-1, axiom, ( ~c_Big__Operators_Ocomm__monoid__big(_u6051, _u6052, _u6053, _u6054, _u6055) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6052), _u6056)) | ( hAPP(hAPP(_u6055, _u6057), _u6056) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u6051, _u6052, _u6053), _u6057), _u6054), _u6056)) )).
% 39.89/40.05 cnf(fact_comm__monoid__big_OF__eq-2, axiom, ( ~c_Big__Operators_Ocomm__monoid__big(_u6051, _u6052, _u6053, _u6054, _u6055) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u6052), _u6056)) | ( hAPP(hAPP(_u6055, _u6057), _u6056) = _u6054) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_card__Diff__singleton ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_card__Diff__singleton-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6058), _u6059)) | ~hBOOL(hAPP(hAPP(c_member(_u6058), _u6060), _u6059)) | ( hAPP(c_Finite__Set_Ocard(_u6058), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6058, tc_HOL_Obool)), _u6059), hAPP(hAPP(c_Set_Oinsert(_u6058), _u6060), c_Orderings_Obot__class_Obot(tc_fun(_u6058, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u6058), _u6059)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_card__Diff__singleton__if ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_card__Diff__singleton__if-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6061), _u6062)) | ~hBOOL(hAPP(hAPP(c_member(_u6061), _u6063), _u6062)) | ( hAPP(c_Finite__Set_Ocard(_u6061), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6061, tc_HOL_Obool)), _u6062), hAPP(hAPP(c_Set_Oinsert(_u6061), _u6063), c_Orderings_Obot__class_Obot(tc_fun(_u6061, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u6061), _u6062)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 39.89/40.05 cnf(fact_card__Diff__singleton__if-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6061), _u6062)) | hBOOL(hAPP(hAPP(c_member(_u6061), _u6063), _u6062)) | ( hAPP(c_Finite__Set_Ocard(_u6061), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6061, tc_HOL_Obool)), _u6062), hAPP(hAPP(c_Set_Oinsert(_u6061), _u6063), c_Orderings_Obot__class_Obot(tc_fun(_u6061, tc_HOL_Obool))))) = hAPP(c_Finite__Set_Ocard(_u6061), _u6062)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_add__Min__commute ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_add__Min__commute-1, axiom, ( ~class_Groups_Olinordered__ab__semigroup__add(_u6064) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6064), _u6065)) | ( _u6065 = c_Orderings_Obot__class_Obot(tc_fun(_u6064, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6064), _u6066), c_Big__Operators_Olinorder__class_OMin(_u6064, _u6065)) = c_Big__Operators_Olinorder__class_OMin(_u6064, hAPP(c_Set_OCollect(_u6064), hAPP(hAPP(c_COMBB(tc_fun(_u6064, tc_HOL_Obool), tc_HOL_Obool, _u6064), c_HOL_OEx(_u6064)), hAPP(hAPP(c_COMBC(_u6064, tc_fun(_u6064, tc_HOL_Obool), tc_fun(_u6064, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6064, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u6064, tc_HOL_Obool), tc_fun(_u6064, tc_HOL_Obool)), _u6064), c_COMBS(_u6064, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6064, tc_HOL_Obool), tc_fun(_u6064, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u6064), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6064), c_fconj)), hAPP(hAPP(c_COMBC(_u6064, tc_fun(_u6064, _u6064), tc_fun(_u6064, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6064, tc_HOL_Obool), tc_fun(tc_fun(_u6064, _u6064), tc_fun(_u6064, tc_HOL_Obool)), _u6064), c_COMBB(_u6064, tc_HOL_Obool, _u6064)), c_fequal)), hAPP(c_Groups_Oplus__class_Oplus(_u6064), _u6066))))), hAPP(hAPP(c_COMBC(_u6064, tc_fun(_u6064, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6064)), _u6065)))))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_add__Max__commute ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_add__Max__commute-1, axiom, ( ~class_Groups_Olinordered__ab__semigroup__add(_u6067) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6067), _u6068)) | ( _u6068 = c_Orderings_Obot__class_Obot(tc_fun(_u6067, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6067), _u6069), c_Big__Operators_Olinorder__class_OMax(_u6067, _u6068)) = c_Big__Operators_Olinorder__class_OMax(_u6067, hAPP(c_Set_OCollect(_u6067), hAPP(hAPP(c_COMBB(tc_fun(_u6067, tc_HOL_Obool), tc_HOL_Obool, _u6067), c_HOL_OEx(_u6067)), hAPP(hAPP(c_COMBC(_u6067, tc_fun(_u6067, tc_HOL_Obool), tc_fun(_u6067, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6067, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u6067, tc_HOL_Obool), tc_fun(_u6067, tc_HOL_Obool)), _u6067), c_COMBS(_u6067, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6067, tc_HOL_Obool), tc_fun(_u6067, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u6067), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6067), c_fconj)), hAPP(hAPP(c_COMBC(_u6067, tc_fun(_u6067, _u6067), tc_fun(_u6067, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6067, tc_HOL_Obool), tc_fun(tc_fun(_u6067, _u6067), tc_fun(_u6067, tc_HOL_Obool)), _u6067), c_COMBB(_u6067, tc_HOL_Obool, _u6067)), c_fequal)), hAPP(c_Groups_Oplus__class_Oplus(_u6067), _u6069))))), hAPP(hAPP(c_COMBC(_u6067, tc_fun(_u6067, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6067)), _u6068)))))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_setsum__multicount__gen ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_setsum__multicount__gen-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6071), _u6072)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6073), _u6074)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6071, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u6073, tc_HOL_Obool), tc_Nat_Onat, _u6071), c_Finite__Set_Ocard(_u6073)), hAPP(hAPP(c_COMBB(tc_fun(_u6073, tc_HOL_Obool), tc_fun(_u6073, tc_HOL_Obool), _u6071), c_Set_OCollect(_u6073)), hAPP(hAPP(c_COMBB(tc_fun(_u6073, tc_HOL_Obool), tc_fun(_u6073, tc_HOL_Obool), _u6071), hAPP(c_COMBS(_u6073, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6073), c_fconj), hAPP(hAPP(c_COMBC(_u6073, tc_fun(_u6073, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6073)), _u6074)))), _u6075)))), _u6072) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6073, tc_Nat_Onat), _u6076), _u6074)) | hBOOL(hAPP(hAPP(c_member(_u6073), skolem120(_u6076, _u6075, _u6074, _u6073, _u6072, _u6071)), _u6074)) )).
% 39.89/40.05 cnf(fact_setsum__multicount__gen-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6071), _u6072)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6073), _u6074)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6071, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u6073, tc_HOL_Obool), tc_Nat_Onat, _u6071), c_Finite__Set_Ocard(_u6073)), hAPP(hAPP(c_COMBB(tc_fun(_u6073, tc_HOL_Obool), tc_fun(_u6073, tc_HOL_Obool), _u6071), c_Set_OCollect(_u6073)), hAPP(hAPP(c_COMBB(tc_fun(_u6073, tc_HOL_Obool), tc_fun(_u6073, tc_HOL_Obool), _u6071), hAPP(c_COMBS(_u6073, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6073), c_fconj), hAPP(hAPP(c_COMBC(_u6073, tc_fun(_u6073, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6073)), _u6074)))), _u6075)))), _u6072) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6073, tc_Nat_Onat), _u6076), _u6074)) | ( hAPP(c_Finite__Set_Ocard(_u6071), hAPP(c_Set_OCollect(_u6071), hAPP(hAPP(c_COMBS(_u6071, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6071), c_fconj), hAPP(hAPP(c_COMBC(_u6071, tc_fun(_u6071, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6071)), _u6072))), hAPP(hAPP(c_COMBC(_u6071, _u6073, tc_HOL_Obool), _u6075), skolem120(_u6076, _u6075, _u6074, _u6073, _u6072, _u6071))))) != hAPP(_u6076, skolem120(_u6076, _u6075, _u6074, _u6073, _u6072, _u6071))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_ ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_-1, axiom, ( ( c_Smallcheck_Oorelse(_u6077, _u6078, _u6079) = hAPP(c_Option_Ooption_Ooption__case(tc_Option_Ooption(_u6077), _u6077, _u6079, c_Option_Ooption_OSome(_u6077)), _u6078)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_top1I ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_top1I-1, axiom, ( hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(_u6080, tc_HOL_Obool)), _u6081)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_card__UNIV__unit ( axiom ) converted to clauses:
% 39.89/40.05 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)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_nat__add__commute ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_nat__add__commute-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6082), _u6083) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6083), _u6082)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_nat__add__left__commute ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_nat__add__left__commute-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6084), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6085), _u6086)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6085), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6084), _u6086))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_nat__add__assoc ( axiom ) converted to clauses:
% 39.89/40.05 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), _u6087), _u6088)), _u6089) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6087), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6088), _u6089))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_nat__add__left__cancel ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_nat__add__left__cancel-1, axiom, ( ( _u6095 = _u6097) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6093), _u6095) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6093), _u6097)) )).
% 39.89/40.05 cnf(fact_nat__add__left__cancel-2, axiom, ( ( _u6096 != _u6098) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6094), _u6096) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6094), _u6098)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_nat__add__right__cancel ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_nat__add__right__cancel-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6102), _u6104) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6106), _u6104)) | ( _u6102 = _u6106) )).
% 39.89/40.05 cnf(fact_nat__add__right__cancel-2, axiom, ( ( _u6103 != _u6107) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6103), _u6105) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6107), _u6105)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_inj__on__add__nat ( axiom ) converted to clauses:
% 39.89/40.05 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)), _u6108), _u6109) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_one__reorient ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_one__reorient-1, axiom, ( ~class_Groups_Oone(_u6110) | ( c_Groups_Oone__class_Oone(_u6110) != _u6111) | ( _u6111 = c_Groups_Oone__class_Oone(_u6110)) )).
% 39.89/40.05 cnf(fact_one__reorient-2, axiom, ( ~class_Groups_Oone(_u6110) | ( _u6111 != c_Groups_Oone__class_Oone(_u6110)) | ( c_Groups_Oone__class_Oone(_u6110) = _u6111) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_minus__Max__eq__Min ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_minus__Max__eq__Min-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u6112) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6112), _u6113)) | ( _u6113 = c_Orderings_Obot__class_Obot(tc_fun(_u6112, tc_HOL_Obool))) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u6112), c_Big__Operators_Olinorder__class_OMax(_u6112, _u6113)) = c_Big__Operators_Olinorder__class_OMin(_u6112, hAPP(c_Set_Oimage(_u6112, _u6112, c_Groups_Ouminus__class_Ouminus(_u6112)), _u6113))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_minus__Min__eq__Max ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_minus__Min__eq__Max-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u6114) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6114), _u6115)) | ( _u6115 = c_Orderings_Obot__class_Obot(tc_fun(_u6114, tc_HOL_Obool))) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u6114), c_Big__Operators_Olinorder__class_OMin(_u6114, _u6115)) = c_Big__Operators_Olinorder__class_OMax(_u6114, hAPP(c_Set_Oimage(_u6114, _u6114, c_Groups_Ouminus__class_Ouminus(_u6114)), _u6115))) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_Min_Osingleton ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_Min_Osingleton-1, axiom, ( ~class_Orderings_Olinorder(_u6116) | ( c_Big__Operators_Olinorder__class_OMin(_u6116, hAPP(hAPP(c_Set_Oinsert(_u6116), _u6117), c_Orderings_Obot__class_Obot(tc_fun(_u6116, tc_HOL_Obool)))) = _u6117) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_Max_Osingleton ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_Max_Osingleton-1, axiom, ( ~class_Orderings_Olinorder(_u6118) | ( c_Big__Operators_Olinorder__class_OMax(_u6118, hAPP(hAPP(c_Set_Oinsert(_u6118), _u6119), c_Orderings_Obot__class_Obot(tc_fun(_u6118, tc_HOL_Obool)))) = _u6119) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_card__eq__setsum ( axiom ) converted to clauses:
% 39.89/40.05 cnf(fact_card__eq__setsum-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u6120), _u6121) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6120, tc_Nat_Onat), hAPP(c_COMBK(tc_Nat_Onat, _u6120), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u6121)) )).
% 39.89/40.05
% 39.89/40.05 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u6122) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6122), _u6123), _u6124) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6122), _u6124), _u6123)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u6125) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6125), _u6126), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6125), _u6127), _u6128)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6125), _u6127), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6125), _u6126), _u6128))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u6129) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6129), _u6130), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6129), _u6131), _u6132)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6129), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6129), _u6130), _u6131)), _u6132)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u6133) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6133), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6133), _u6134), _u6135)), _u6136) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6133), _u6134), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6133), _u6135), _u6136))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u6137) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6137), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6137), _u6138), _u6139)), _u6140) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6137), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6137), _u6138), _u6140)), _u6139)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u6141) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6141), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6141), _u6142), _u6143)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6141), _u6144), _u6145)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6141), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6141), _u6142), _u6144)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6141), _u6143), _u6145))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_Max__ge ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_Max__ge-1, axiom, ( ~class_Orderings_Olinorder(_u6146) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6146), _u6147)) | ~hBOOL(hAPP(hAPP(c_member(_u6146), _u6148), _u6147)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6146), _u6148), c_Big__Operators_Olinorder__class_OMax(_u6146, _u6147))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_Min__le ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_Min__le-1, axiom, ( ~class_Orderings_Olinorder(_u6149) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6149), _u6150)) | ~hBOOL(hAPP(hAPP(c_member(_u6149), _u6151), _u6150)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6149), c_Big__Operators_Olinorder__class_OMin(_u6149, _u6150)), _u6151)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_Min__in ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_Min__in-1, axiom, ( ~class_Orderings_Olinorder(_u6152) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6152), _u6153)) | ( _u6153 = c_Orderings_Obot__class_Obot(tc_fun(_u6152, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u6152), c_Big__Operators_Olinorder__class_OMin(_u6152, _u6153)), _u6153)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_Max__in ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_Max__in-1, axiom, ( ~class_Orderings_Olinorder(_u6154) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6154), _u6155)) | ( _u6155 = c_Orderings_Obot__class_Obot(tc_fun(_u6154, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u6154), c_Big__Operators_Olinorder__class_OMax(_u6154, _u6155)), _u6155)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_card_Oinsert ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_card_Oinsert-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6156), _u6157)) | hBOOL(hAPP(hAPP(c_member(_u6156), _u6158), _u6157)) | ( hAPP(c_Finite__Set_Ocard(_u6156), hAPP(hAPP(c_Set_Oinsert(_u6156), _u6158), _u6157)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u6156), _u6157))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_Min__antimono ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_Min__antimono-1, axiom, ( ~class_Orderings_Olinorder(_u6159) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6159, tc_HOL_Obool)), _u6160), _u6161)) | ( _u6160 = c_Orderings_Obot__class_Obot(tc_fun(_u6159, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6159), _u6161)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6159), c_Big__Operators_Olinorder__class_OMin(_u6159, _u6161)), c_Big__Operators_Olinorder__class_OMin(_u6159, _u6160))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_Max__mono ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_Max__mono-1, axiom, ( ~class_Orderings_Olinorder(_u6162) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6162, tc_HOL_Obool)), _u6163), _u6164)) | ( _u6163 = c_Orderings_Obot__class_Obot(tc_fun(_u6162, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6162), _u6164)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6162), c_Big__Operators_Olinorder__class_OMax(_u6162, _u6163)), c_Big__Operators_Olinorder__class_OMax(_u6162, _u6164))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_comm__monoid__big_Oinfinite ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_comm__monoid__big_Oinfinite-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u6166), _u6170)) | ( hAPP(hAPP(_u6169, _u6171), _u6170) = _u6168) | ~c_Big__Operators_Ocomm__monoid__big(_u6165, _u6166, _u6167, _u6168, _u6169) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_card_Oinsert__remove ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_card_Oinsert__remove-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6172), _u6173)) | ( hAPP(c_Finite__Set_Ocard(_u6172), hAPP(hAPP(c_Set_Oinsert(_u6172), _u6174), _u6173)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u6172), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6172, tc_HOL_Obool)), _u6173), hAPP(hAPP(c_Set_Oinsert(_u6172), _u6174), c_Orderings_Obot__class_Obot(tc_fun(_u6172, tc_HOL_Obool))))))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_card_Oremove ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_card_Oremove-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6175), _u6176)) | ~hBOOL(hAPP(hAPP(c_member(_u6175), _u6177), _u6176)) | ( hAPP(c_Finite__Set_Ocard(_u6175), _u6176) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u6175), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6175, tc_HOL_Obool)), _u6176), hAPP(hAPP(c_Set_Oinsert(_u6175), _u6177), c_Orderings_Obot__class_Obot(tc_fun(_u6175, tc_HOL_Obool))))))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_card__Diff__insert ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_card__Diff__insert-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6178), _u6179)) | ~hBOOL(hAPP(hAPP(c_member(_u6178), _u6180), _u6179)) | hBOOL(hAPP(hAPP(c_member(_u6178), _u6180), _u6181)) | ( hAPP(c_Finite__Set_Ocard(_u6178), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6178, tc_HOL_Obool)), _u6179), hAPP(hAPP(c_Set_Oinsert(_u6178), _u6180), _u6181))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u6178), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6178, tc_HOL_Obool)), _u6179), _u6181))), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_less__add__one ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_less__add__one-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6182) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6182), _u6183), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6182), _u6183), c_Groups_Oone__class_Oone(_u6182)))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_Id__on__def ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_Id__on__def-1, axiom, ( ( c_Relation_OId__on(_u6184, _u6185) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6184, tc_fun(tc_prod(_u6184, _u6184), tc_HOL_Obool)), _u6185), hAPP(hAPP(c_COMBC(_u6184, tc_fun(tc_prod(_u6184, _u6184), tc_HOL_Obool), tc_fun(tc_prod(_u6184, _u6184), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_prod(_u6184, _u6184), tc_fun(tc_fun(tc_prod(_u6184, _u6184), tc_HOL_Obool), tc_fun(tc_prod(_u6184, _u6184), tc_HOL_Obool)), _u6184), c_Set_Oinsert(tc_prod(_u6184, _u6184))), hAPP(hAPP(c_COMBS(_u6184, _u6184, tc_prod(_u6184, _u6184)), c_Product__Type_OPair(_u6184, _u6184)), c_COMBI(_u6184)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u6184, _u6184), tc_HOL_Obool))))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_equivp__equiv ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_equivp__equiv-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u6188, c_Orderings_Otop__class_Otop(tc_fun(_u6188, tc_HOL_Obool)), _u6190) | c_Equiv__Relations_Oequivp(_u6188, hAPP(hAPP(c_COMBC(_u6188, tc_fun(tc_prod(_u6188, _u6188), tc_HOL_Obool), tc_fun(_u6188, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6188, tc_fun(tc_fun(tc_prod(_u6188, _u6188), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u6188, _u6188), tc_HOL_Obool), tc_fun(_u6188, tc_HOL_Obool)), _u6188), c_COMBC(_u6188, tc_fun(tc_prod(_u6188, _u6188), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6188, tc_prod(_u6188, _u6188)), tc_fun(_u6188, tc_fun(tc_fun(tc_prod(_u6188, _u6188), tc_HOL_Obool), tc_HOL_Obool)), _u6188), hAPP(c_COMBB(tc_prod(_u6188, _u6188), tc_fun(tc_fun(tc_prod(_u6188, _u6188), tc_HOL_Obool), tc_HOL_Obool), _u6188), c_member(tc_prod(_u6188, _u6188)))), c_Product__Type_OPair(_u6188, _u6188)))), _u6190)) )).
% 39.89/40.06 cnf(fact_equivp__equiv-2, axiom, ( ~c_Equiv__Relations_Oequivp(_u6189, hAPP(hAPP(c_COMBC(_u6189, tc_fun(tc_prod(_u6189, _u6189), tc_HOL_Obool), tc_fun(_u6189, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6189, tc_fun(tc_fun(tc_prod(_u6189, _u6189), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u6189, _u6189), tc_HOL_Obool), tc_fun(_u6189, tc_HOL_Obool)), _u6189), c_COMBC(_u6189, tc_fun(tc_prod(_u6189, _u6189), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6189, tc_prod(_u6189, _u6189)), tc_fun(_u6189, tc_fun(tc_fun(tc_prod(_u6189, _u6189), tc_HOL_Obool), tc_HOL_Obool)), _u6189), hAPP(c_COMBB(tc_prod(_u6189, _u6189), tc_fun(tc_fun(tc_prod(_u6189, _u6189), tc_HOL_Obool), tc_HOL_Obool), _u6189), c_member(tc_prod(_u6189, _u6189)))), c_Product__Type_OPair(_u6189, _u6189)))), _u6191)) | c_Equiv__Relations_Oequiv(_u6189, c_Orderings_Otop__class_Otop(tc_fun(_u6189, tc_HOL_Obool)), _u6191) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_inj__vimage__singleton ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_inj__vimage__singleton-1, axiom, ( ~c_Fun_Oinj__on(_u6192, _u6193, _u6194, c_Orderings_Otop__class_Otop(tc_fun(_u6192, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6192, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u6192, _u6193, _u6194), hAPP(hAPP(c_Set_Oinsert(_u6193), _u6195), c_Orderings_Obot__class_Obot(tc_fun(_u6193, tc_HOL_Obool))))), hAPP(hAPP(c_Set_Oinsert(_u6192), c_HOL_OThe(_u6192, hAPP(hAPP(c_COMBC(_u6192, _u6193, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u6193, tc_fun(_u6193, tc_HOL_Obool), _u6192), c_fequal), _u6194)), _u6195))), c_Orderings_Obot__class_Obot(tc_fun(_u6192, tc_HOL_Obool))))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_fold__Un__disjoint ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_fold__Un__disjoint-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u6196) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6197), _u6198)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6197), _u6199)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6197, tc_HOL_Obool)), _u6198), _u6199) != c_Orderings_Obot__class_Obot(tc_fun(_u6197, tc_HOL_Obool))) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u6196, _u6197, c_Groups_Otimes__class_Otimes(_u6196)), _u6200), c_Groups_Oone__class_Oone(_u6196)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6197, tc_HOL_Obool)), _u6198), _u6199)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6196), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u6196, _u6197, c_Groups_Otimes__class_Otimes(_u6196)), _u6200), c_Groups_Oone__class_Oone(_u6196)), _u6198)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u6196, _u6197, c_Groups_Otimes__class_Otimes(_u6196)), _u6200), c_Groups_Oone__class_Oone(_u6196)), _u6199))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_map__comp__def ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_map__comp__def-1, axiom, ( ( c_Map_Omap__comp(_u6201, _u6202, _u6203, _u6204, _u6205, _u6206) = hAPP(c_Option_Ooption_Ooption__case(tc_Option_Ooption(_u6202), _u6201, c_Option_Ooption_ONone(_u6202), _u6204), hAPP(_u6205, _u6206))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_card__Suc__Diff1 ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_card__Suc__Diff1-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6207), _u6208)) | ~hBOOL(hAPP(hAPP(c_member(_u6207), _u6209), _u6208)) | ( hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u6207), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6207, tc_HOL_Obool)), _u6208), hAPP(hAPP(c_Set_Oinsert(_u6207), _u6209), c_Orderings_Obot__class_Obot(tc_fun(_u6207, tc_HOL_Obool)))))) = hAPP(c_Finite__Set_Ocard(_u6207), _u6208)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_lessI ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_lessI-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6210), hAPP(c_Nat_OSuc, _u6210))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_Suc__mono ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_Suc__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6211), _u6212)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6211)), hAPP(c_Nat_OSuc, _u6212))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_vimageI ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_vimageI-1, axiom, ( ( hAPP(_u6213, _u6214) != _u6215) | ~hBOOL(hAPP(hAPP(c_member(_u6216), _u6215), _u6217)) | hBOOL(hAPP(hAPP(c_member(_u6218), _u6214), hAPP(c_Set_Ovimage(_u6218, _u6216, _u6213), _u6217))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_mult__Suc__right ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_mult__Suc__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6219), hAPP(c_Nat_OSuc, _u6220)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6219), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6219), _u6220))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_mult__Suc ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_mult__Suc-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6221)), _u6222) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6222), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6221), _u6222))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_combine__common__factor ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_combine__common__factor-1, axiom, ( ~class_Rings_Osemiring(_u6223) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6223), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6223), _u6224), _u6225)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6223), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6223), _u6226), _u6225)), _u6227)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6223), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6223), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6223), _u6224), _u6226)), _u6225)), _u6227)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_comm__semiring__class_Odistrib ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_comm__semiring__class_Odistrib-1, axiom, ( ~class_Rings_Ocomm__semiring(_u6228) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6228), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6228), _u6229), _u6230)), _u6231) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6228), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6228), _u6229), _u6231)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6228), _u6230), _u6231))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_inj__Suc ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_inj__Suc-1, axiom, ( c_Fun_Oinj__on(tc_Nat_Onat, tc_Nat_Onat, c_Nat_OSuc, _u6232) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u6233) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6233), _u6234), _u6235) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6233), _u6235), _u6234)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u6236) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6236), _u6237), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6236), _u6238), _u6239)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6236), _u6238), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6236), _u6237), _u6239))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u6240) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6240), _u6241), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6240), _u6242), _u6243)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6240), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6240), _u6241), _u6242)), _u6243)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u6244) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6244), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6244), _u6245), _u6246)), _u6247) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6244), _u6245), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6244), _u6246), _u6247))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u6248) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6248), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6248), _u6249), _u6250)), _u6251) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6248), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6248), _u6249), _u6251)), _u6250)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u6252) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6252), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6252), _u6253), _u6254)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6252), _u6255), _u6256)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6252), _u6253), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6252), _u6254), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6252), _u6255), _u6256)))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u6257) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6257), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6257), _u6258), _u6259)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6257), _u6260), _u6261)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6257), _u6260), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6257), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6257), _u6258), _u6259)), _u6261))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u6262) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6262), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6262), _u6263), _u6264)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6262), _u6265), _u6266)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6262), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6262), _u6263), _u6265)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6262), _u6264), _u6266))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_Suc__mult__le__cancel1 ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_Suc__mult__le__cancel1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6272), _u6274)) | ~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, _u6270)), _u6272)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6270)), _u6274))) )).
% 39.89/40.06 cnf(fact_Suc__mult__le__cancel1-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6273), _u6275)) | 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, _u6271)), _u6273)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6271)), _u6275))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_square__eq__iff ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_square__eq__iff-1, axiom, ( ~class_Rings_Oidom(_u6276) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6276), _u6277), _u6277) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6276), _u6278), _u6278)) | ( _u6277 = _u6278) | ( _u6277 = hAPP(c_Groups_Ouminus__class_Ouminus(_u6276), _u6278)) )).
% 39.89/40.06 cnf(fact_square__eq__iff-2, axiom, ( ~class_Rings_Oidom(_u6276) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6276), _u6277), _u6277) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6276), _u6278), _u6278)) | ( _u6277 != _u6278) )).
% 39.89/40.06 cnf(fact_square__eq__iff-3, axiom, ( ~class_Rings_Oidom(_u6276) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6276), _u6277), _u6277) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6276), _u6278), _u6278)) | ( _u6277 != hAPP(c_Groups_Ouminus__class_Ouminus(_u6276), _u6278)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_minus__mult__minus ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_minus__mult__minus-1, axiom, ( ~class_Rings_Oring(_u6279) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6279), hAPP(c_Groups_Ouminus__class_Ouminus(_u6279), _u6280)), hAPP(c_Groups_Ouminus__class_Ouminus(_u6279), _u6281)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6279), _u6280), _u6281)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_minus__mult__commute ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_minus__mult__commute-1, axiom, ( ~class_Rings_Oring(_u6282) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6282), hAPP(c_Groups_Ouminus__class_Ouminus(_u6282), _u6283)), _u6284) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6282), _u6283), hAPP(c_Groups_Ouminus__class_Ouminus(_u6282), _u6284))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_minus__mult__left ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_minus__mult__left-1, axiom, ( ~class_Rings_Oring(_u6285) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u6285), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6285), _u6286), _u6287)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6285), hAPP(c_Groups_Ouminus__class_Ouminus(_u6285), _u6286)), _u6287)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_minus__mult__right ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_minus__mult__right-1, axiom, ( ~class_Rings_Oring(_u6288) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u6288), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6288), _u6289), _u6290)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6288), _u6289), hAPP(c_Groups_Ouminus__class_Ouminus(_u6288), _u6290))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_Suc__mult__less__cancel1 ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_Suc__mult__less__cancel1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6296), _u6298)) | ~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, _u6294)), _u6296)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6294)), _u6298))) )).
% 39.89/40.06 cnf(fact_Suc__mult__less__cancel1-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6297), _u6299)) | 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, _u6295)), _u6297)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6295)), _u6299))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_identity__equivp ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_identity__equivp-1, axiom, ( c_Equiv__Relations_Oequivp(_u6300, c_fequal) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_equivp__def ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_equivp__def-1, axiom, ( ~c_Equiv__Relations_Oequivp(_u6315, _u6317) | ~hBOOL(hAPP(hAPP(_u6317, _u6309), _u6307)) | ( hAPP(_u6317, _u6309) = hAPP(_u6317, _u6307)) )).
% 39.89/40.06 cnf(fact_equivp__def-2, axiom, ( ~c_Equiv__Relations_Oequivp(_u6315, _u6317) | ( hAPP(_u6317, _u6310) != hAPP(_u6317, _u6308)) | hBOOL(hAPP(hAPP(_u6317, _u6310), _u6308)) )).
% 39.89/40.06 cnf(fact_equivp__def-3, axiom, ( c_Equiv__Relations_Oequivp(_u6316, _u6318) | hBOOL(hAPP(hAPP(_u6318, skolem121(_u6318)), skolem122(_u6318))) | ( hAPP(_u6318, skolem123(_u6318)) = hAPP(_u6318, skolem124(_u6318))) )).
% 39.89/40.06 cnf(fact_equivp__def-4, axiom, ( c_Equiv__Relations_Oequivp(_u6316, _u6318) | hBOOL(hAPP(hAPP(_u6318, skolem121(_u6318)), skolem122(_u6318))) | ~hBOOL(hAPP(hAPP(_u6318, skolem123(_u6318)), skolem124(_u6318))) )).
% 39.89/40.06 cnf(fact_equivp__def-5, axiom, ( c_Equiv__Relations_Oequivp(_u6316, _u6318) | ( hAPP(_u6318, skolem121(_u6318)) != hAPP(_u6318, skolem122(_u6318))) | ( hAPP(_u6318, skolem123(_u6318)) = hAPP(_u6318, skolem124(_u6318))) )).
% 39.89/40.06 cnf(fact_equivp__def-6, axiom, ( c_Equiv__Relations_Oequivp(_u6316, _u6318) | ( hAPP(_u6318, skolem121(_u6318)) != hAPP(_u6318, skolem122(_u6318))) | ~hBOOL(hAPP(hAPP(_u6318, skolem123(_u6318)), skolem124(_u6318))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_equivp__reflp ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_equivp__reflp-1, axiom, ( hBOOL(hAPP(hAPP(_u6320, _u6321), _u6321)) | ~c_Equiv__Relations_Oequivp(_u6319, _u6320) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_equivp__symp ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_equivp__symp-1, axiom, ( ~hBOOL(hAPP(hAPP(_u6323, _u6324), _u6325)) | hBOOL(hAPP(hAPP(_u6323, _u6325), _u6324)) | ~c_Equiv__Relations_Oequivp(_u6322, _u6323) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_equivp__transp ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_equivp__transp-1, axiom, ( ~hBOOL(hAPP(hAPP(_u6327, _u6328), _u6329)) | ~hBOOL(hAPP(hAPP(_u6327, _u6329), _u6330)) | hBOOL(hAPP(hAPP(_u6327, _u6328), _u6330)) | ~c_Equiv__Relations_Oequivp(_u6326, _u6327) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_ab__semigroup__mult__class_Omult__ac_I1_J ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_ab__semigroup__mult__class_Omult__ac_I1_J-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u6331) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6331), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6331), _u6332), _u6333)), _u6334) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6331), _u6332), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6331), _u6333), _u6334))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_vimage__ident ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_vimage__ident-1, axiom, ( ( hAPP(c_Set_Ovimage(_u6335, _u6335, c_COMBI(_u6335)), _u6336) = _u6336) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_times_Oidem ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_times_Oidem-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u6337) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6337), _u6338), _u6338) = _u6338) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_mult__idem ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_mult__idem-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u6339) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6339), _u6340), _u6340) = _u6340) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_mult__left__idem ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_mult__left__idem-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u6341) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6341), _u6342), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6341), _u6342), _u6343)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6341), _u6342), _u6343)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_n__not__Suc__n ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_n__not__Suc__n-1, axiom, ( ( _u6344 != hAPP(c_Nat_OSuc, _u6344)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_Suc__n__not__n ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_Suc__n__not__n-1, axiom, ( ( hAPP(c_Nat_OSuc, _u6345) != _u6345) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_nat_Oinject ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_nat_Oinject-1, axiom, ( ( hAPP(c_Nat_OSuc, _u6348) != hAPP(c_Nat_OSuc, _u6350)) | ( _u6348 = _u6350) )).
% 39.89/40.06 cnf(fact_nat_Oinject-2, axiom, ( ( _u6349 != _u6351) | ( hAPP(c_Nat_OSuc, _u6349) = hAPP(c_Nat_OSuc, _u6351)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_Suc__mult__cancel1 ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_Suc__mult__cancel1-1, axiom, ( ( _u6357 = _u6359) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6355)), _u6357) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6355)), _u6359)) )).
% 39.89/40.06 cnf(fact_Suc__mult__cancel1-2, axiom, ( ( _u6358 != _u6360) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6356)), _u6358) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6356)), _u6360)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_Suc__inject ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_Suc__inject-1, axiom, ( ( hAPP(c_Nat_OSuc, _u6361) != hAPP(c_Nat_OSuc, _u6362)) | ( _u6361 = _u6362) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_vimage__code ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_vimage__code-1, axiom, ( hBOOL(hAPP(_u6374, hAPP(_u6372, _u6376))) | ~hBOOL(hAPP(hAPP(c_Set_Ovimage(_u6368, _u6370, _u6372), _u6374), _u6376)) )).
% 39.89/40.06 cnf(fact_vimage__code-2, axiom, ( ~hBOOL(hAPP(_u6375, hAPP(_u6373, _u6377))) | hBOOL(hAPP(hAPP(c_Set_Ovimage(_u6369, _u6371, _u6373), _u6375), _u6377)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_mono__Suc ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_mono__Suc-1, axiom, ( c_Orderings_Oorder__class_Omono(tc_Nat_Onat, tc_Nat_Onat, c_Nat_OSuc) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_vimage__eq ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_vimage__eq-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u6387), hAPP(_u6389, _u6385)), _u6391)) | ~hBOOL(hAPP(hAPP(c_member(_u6383), _u6385), hAPP(c_Set_Ovimage(_u6383, _u6387, _u6389), _u6391))) )).
% 39.89/40.06 cnf(fact_vimage__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u6388), hAPP(_u6390, _u6386)), _u6392)) | hBOOL(hAPP(hAPP(c_member(_u6384), _u6386), hAPP(c_Set_Ovimage(_u6384, _u6388, _u6390), _u6392))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_vimageD ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_vimageD-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u6395), hAPP(_u6396, _u6394)), _u6397)) | ~hBOOL(hAPP(hAPP(c_member(_u6393), _u6394), hAPP(c_Set_Ovimage(_u6393, _u6395, _u6396), _u6397))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_vimageI2 ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_vimageI2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u6398), hAPP(_u6399, _u6400)), _u6401)) | hBOOL(hAPP(hAPP(c_member(_u6402), _u6400), hAPP(c_Set_Ovimage(_u6402, _u6398, _u6399), _u6401))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_mono__iff__le__Suc ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_mono__iff__le__Suc-1, axiom, ( ~class_Orderings_Oorder(_u6405) | ~c_Orderings_Oorder__class_Omono(tc_Nat_Onat, _u6405, _u6406) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6405), hAPP(_u6406, _u6403)), hAPP(_u6406, hAPP(c_Nat_OSuc, _u6403)))) )).
% 39.89/40.06 cnf(fact_mono__iff__le__Suc-2, axiom, ( ~class_Orderings_Oorder(_u6405) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6405), hAPP(_u6406, skolem125(_u6406, _u6405))), hAPP(_u6406, hAPP(c_Nat_OSuc, skolem125(_u6406, _u6405))))) | c_Orderings_Oorder__class_Omono(tc_Nat_Onat, _u6405, _u6406) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_vimage__empty ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_vimage__empty-1, axiom, ( ( hAPP(c_Set_Ovimage(_u6407, _u6408, _u6409), c_Orderings_Obot__class_Obot(tc_fun(_u6408, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u6407, tc_HOL_Obool))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u6410) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6410), _u6411), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6410), _u6412), _u6413)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6410), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6410), _u6411), _u6412)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6410), _u6411), _u6413))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_crossproduct__noteq ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_crossproduct__noteq-1, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u6414) | ( _u6415 = _u6416) | ( _u6417 = _u6418) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6414), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6414), _u6415), _u6417)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6414), _u6416), _u6418)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6414), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6414), _u6415), _u6418)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6414), _u6416), _u6417))) )).
% 39.89/40.06 cnf(fact_crossproduct__noteq-2, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u6414) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6414), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6414), _u6415), _u6417)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6414), _u6416), _u6418)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6414), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6414), _u6415), _u6418)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6414), _u6416), _u6417))) | ( _u6415 != _u6416) )).
% 39.89/40.06 cnf(fact_crossproduct__noteq-3, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u6414) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6414), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6414), _u6415), _u6417)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6414), _u6416), _u6418)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6414), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6414), _u6415), _u6418)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6414), _u6416), _u6417))) | ( _u6417 != _u6418) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u6419) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6419), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6419), _u6420), _u6421)), _u6422) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6419), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6419), _u6420), _u6422)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6419), _u6421), _u6422))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u6423) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6423), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6423), _u6424), _u6425)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6423), _u6426), _u6425)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6423), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6423), _u6424), _u6426)), _u6425)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_crossproduct__eq ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_crossproduct__eq-1, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u6427) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6427), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6427), _u6428), _u6429)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6427), _u6430), _u6431)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6427), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6427), _u6428), _u6431)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6427), _u6430), _u6429))) | ( _u6428 = _u6430) | ( _u6429 = _u6431) )).
% 39.89/40.06 cnf(fact_crossproduct__eq-2, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u6427) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6427), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6427), _u6428), _u6429)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6427), _u6430), _u6431)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6427), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6427), _u6428), _u6431)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6427), _u6430), _u6429))) | ( _u6428 != _u6430) )).
% 39.89/40.06 cnf(fact_crossproduct__eq-3, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u6427) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6427), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6427), _u6428), _u6429)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6427), _u6430), _u6431)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6427), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6427), _u6428), _u6431)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6427), _u6430), _u6429))) | ( _u6429 != _u6431) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_vimage__mono ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_vimage__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6432, tc_HOL_Obool)), _u6433), _u6434)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6435, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u6435, _u6432, _u6436), _u6433)), hAPP(c_Set_Ovimage(_u6435, _u6432, _u6436), _u6434))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_vimage__UNIV ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_vimage__UNIV-1, axiom, ( ( hAPP(c_Set_Ovimage(_u6437, _u6438, _u6439), c_Orderings_Otop__class_Otop(tc_fun(_u6438, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u6437, tc_HOL_Obool))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_vimage__Un ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_vimage__Un-1, axiom, ( ( hAPP(c_Set_Ovimage(_u6440, _u6441, _u6442), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6441, tc_HOL_Obool)), _u6443), _u6444)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6440, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u6440, _u6441, _u6442), _u6443)), hAPP(c_Set_Ovimage(_u6440, _u6441, _u6442), _u6444))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_vimage__Int ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_vimage__Int-1, axiom, ( ( hAPP(c_Set_Ovimage(_u6445, _u6446, _u6447), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6446, tc_HOL_Obool)), _u6448), _u6449)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6445, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u6445, _u6446, _u6447), _u6448)), hAPP(c_Set_Ovimage(_u6445, _u6446, _u6447), _u6449))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_vimage__compose ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_vimage__compose-1, axiom, ( ( hAPP(c_Set_Ovimage(_u6450, _u6451, hAPP(c_Fun_Ocomp(_u6452, _u6451, _u6450, _u6453), _u6454)), _u6455) = hAPP(c_Set_Ovimage(_u6450, _u6452, _u6454), hAPP(c_Set_Ovimage(_u6452, _u6451, _u6453), _u6455))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_not__less__eq ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_not__less__eq-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6458), _u6460)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6460), hAPP(c_Nat_OSuc, _u6458))) )).
% 39.89/40.06 cnf(fact_not__less__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6461), hAPP(c_Nat_OSuc, _u6459))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6459), _u6461)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_less__Suc__eq ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_less__Suc__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6464), hAPP(c_Nat_OSuc, _u6466))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6464), _u6466)) | ( _u6464 = _u6466) )).
% 39.89/40.06 cnf(fact_less__Suc__eq-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6465), hAPP(c_Nat_OSuc, _u6467))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6465), _u6467)) )).
% 39.89/40.06 cnf(fact_less__Suc__eq-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6465), hAPP(c_Nat_OSuc, _u6467))) | ( _u6465 != _u6467) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_Suc__less__eq ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_Suc__less__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6470)), hAPP(c_Nat_OSuc, _u6472))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6470), _u6472)) )).
% 39.89/40.06 cnf(fact_Suc__less__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6471), _u6473)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6471)), hAPP(c_Nat_OSuc, _u6473))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_not__less__less__Suc__eq ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_not__less__less__Suc__eq-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6474), _u6475)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6474), hAPP(c_Nat_OSuc, _u6475))) | ( _u6474 = _u6475) )).
% 39.89/40.06 cnf(fact_not__less__less__Suc__eq-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6474), _u6475)) | ( _u6474 != _u6475) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6474), hAPP(c_Nat_OSuc, _u6475))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_less__antisym ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_less__antisym-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6476), _u6477)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6476), hAPP(c_Nat_OSuc, _u6477))) | ( _u6477 = _u6476) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_less__SucI ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_less__SucI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6478), _u6479)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6478), hAPP(c_Nat_OSuc, _u6479))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_Suc__lessI ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_Suc__lessI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6480), _u6481)) | ( hAPP(c_Nat_OSuc, _u6480) = _u6481) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6480)), _u6481)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_less__trans__Suc ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_less__trans__Suc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6482), _u6483)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6483), _u6484)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6482)), _u6484)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_less__SucE ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_less__SucE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6485), hAPP(c_Nat_OSuc, _u6486))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6485), _u6486)) | ( _u6485 = _u6486) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_Suc__lessD ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_Suc__lessD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6487)), _u6488)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6487), _u6488)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_Suc__less__SucD ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_Suc__less__SucD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6489)), hAPP(c_Nat_OSuc, _u6490))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6489), _u6490)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_mult__1__left ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_mult__1__left-1, axiom, ( ~class_Groups_Omonoid__mult(_u6491) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6491), c_Groups_Oone__class_Oone(_u6491)), _u6492) = _u6492) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_mult__1 ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_mult__1-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u6493) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6493), c_Groups_Oone__class_Oone(_u6493)), _u6494) = _u6494) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_mult__1__right ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_mult__1__right-1, axiom, ( ~class_Groups_Omonoid__mult(_u6495) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6495), _u6496), c_Groups_Oone__class_Oone(_u6495)) = _u6496) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_mult_Ocomm__neutral ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_mult_Ocomm__neutral-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u6497) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6497), _u6498), c_Groups_Oone__class_Oone(_u6497)) = _u6498) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u6499) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6499), _u6500), c_Groups_Oone__class_Oone(_u6499)) = _u6500) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u6501) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6501), c_Groups_Oone__class_Oone(_u6501)), _u6502) = _u6502) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_add__Suc__shift ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_add__Suc__shift-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6503)), _u6504) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6503), hAPP(c_Nat_OSuc, _u6504))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_add__Suc ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_add__Suc-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6505)), _u6506) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6505), _u6506))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_add__Suc__right ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_add__Suc__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6507), hAPP(c_Nat_OSuc, _u6508)) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6507), _u6508))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_vimage__Diff ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_vimage__Diff-1, axiom, ( ( hAPP(c_Set_Ovimage(_u6509, _u6510, _u6511), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6510, tc_HOL_Obool)), _u6512), _u6513)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6509, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u6509, _u6510, _u6511), _u6512)), hAPP(c_Set_Ovimage(_u6509, _u6510, _u6511), _u6513))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_Suc__n__not__le__n ( axiom ) converted to clauses:
% 39.89/40.06 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, _u6514)), _u6514)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_not__less__eq__eq ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_not__less__eq__eq-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6517), _u6519)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6519)), _u6517)) )).
% 39.89/40.06 cnf(fact_not__less__eq__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6520)), _u6518)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6518), _u6520)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_le__Suc__eq ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_le__Suc__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6523), hAPP(c_Nat_OSuc, _u6525))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6523), _u6525)) | ( _u6523 = hAPP(c_Nat_OSuc, _u6525)) )).
% 39.89/40.06 cnf(fact_le__Suc__eq-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6524), hAPP(c_Nat_OSuc, _u6526))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6524), _u6526)) )).
% 39.89/40.06 cnf(fact_le__Suc__eq-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6524), hAPP(c_Nat_OSuc, _u6526))) | ( _u6524 != hAPP(c_Nat_OSuc, _u6526)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_Suc__le__mono ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_Suc__le__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6529)), hAPP(c_Nat_OSuc, _u6531))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6529), _u6531)) )).
% 39.89/40.06 cnf(fact_Suc__le__mono-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6530), _u6532)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6530)), hAPP(c_Nat_OSuc, _u6532))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_le__SucI ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_le__SucI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6533), _u6534)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6533), hAPP(c_Nat_OSuc, _u6534))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_le__SucE ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_le__SucE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6535), hAPP(c_Nat_OSuc, _u6536))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6535), _u6536)) | ( _u6535 = hAPP(c_Nat_OSuc, _u6536)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_Suc__leD ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_Suc__leD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6537)), _u6538)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6537), _u6538)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_diff__Suc__Suc ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_diff__Suc__Suc-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6539)), hAPP(c_Nat_OSuc, _u6540)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6539), _u6540)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_Suc__diff__diff ( axiom ) converted to clauses:
% 39.89/40.06 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, _u6541)), _u6542)), hAPP(c_Nat_OSuc, _u6543)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6541), _u6542)), _u6543)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_add__mult__distrib ( axiom ) converted to clauses:
% 39.89/40.06 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), _u6544), _u6545)), _u6546) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6544), _u6546)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6545), _u6546))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_add__mult__distrib2 ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_add__mult__distrib2-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6547), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6548), _u6549)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6547), _u6548)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6547), _u6549))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_le__square ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_le__square-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6550), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6550), _u6550))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_le__cube ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_le__cube-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6551), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6551), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6551), _u6551)))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_mult__le__mono1 ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_mult__le__mono1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6552), _u6553)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6552), _u6554)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6553), _u6554))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_mult__le__mono2 ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_mult__le__mono2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6555), _u6556)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6557), _u6555)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6557), _u6556))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_mult__le__mono ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_mult__le__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6558), _u6559)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6560), _u6561)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6558), _u6560)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6559), _u6561))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_diff__mult__distrib2 ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_diff__mult__distrib2-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6562), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6563), _u6564)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6562), _u6563)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6562), _u6564))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_diff__mult__distrib ( axiom ) converted to clauses:
% 39.89/40.06 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), _u6565), _u6566)), _u6567) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6565), _u6567)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6566), _u6567))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_vimage__Compl ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_vimage__Compl-1, axiom, ( ( hAPP(c_Set_Ovimage(_u6568, _u6569, _u6570), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6569, tc_HOL_Obool)), _u6571)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6568, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u6568, _u6569, _u6570), _u6571))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_nat__mult__1 ( axiom ) converted to clauses:
% 39.89/40.06 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)), _u6572) = _u6572) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_nat__1__eq__mult__iff ( axiom ) converted to clauses:
% 39.89/40.06 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), _u6575), _u6577)) | ( _u6575 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 39.89/40.06 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), _u6575), _u6577)) | ( _u6577 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 39.89/40.06 cnf(fact_nat__1__eq__mult__iff-3, axiom, ( ( _u6576 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u6578 != 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), _u6576), _u6578)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_nat__mult__1__right ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_nat__mult__1__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6579), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u6579) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_nat__mult__eq__1__iff ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_nat__mult__eq__1__iff-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6582), _u6584) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u6582 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 39.89/40.06 cnf(fact_nat__mult__eq__1__iff-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6582), _u6584) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u6584 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 39.89/40.06 cnf(fact_nat__mult__eq__1__iff-3, axiom, ( ( _u6583 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u6585 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6583), _u6585) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_evaln__Suc ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_evaln__Suc-1, axiom, ( ~c_Natural_Oevaln(_u6586, _u6587, _u6588, _u6589) | c_Natural_Oevaln(_u6586, _u6587, hAPP(c_Nat_OSuc, _u6588), _u6589) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_less__1__mult ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_less__1__mult-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6590) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6590), c_Groups_Oone__class_Oone(_u6590)), _u6591)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6590), c_Groups_Oone__class_Oone(_u6590)), _u6592)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6590), c_Groups_Oone__class_Oone(_u6590)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6590), _u6591), _u6592))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_eq__add__iff1 ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_eq__add__iff1-1, axiom, ( ~class_Rings_Oring(_u6593) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6593), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6593), _u6594), _u6595)), _u6596) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6593), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6593), _u6597), _u6595)), _u6598)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6593), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6593), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6593), _u6594), _u6597)), _u6595)), _u6596) = _u6598) )).
% 39.89/40.06 cnf(fact_eq__add__iff1-2, axiom, ( ~class_Rings_Oring(_u6593) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6593), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6593), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6593), _u6594), _u6597)), _u6595)), _u6596) != _u6598) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6593), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6593), _u6594), _u6595)), _u6596) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6593), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6593), _u6597), _u6595)), _u6598)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_eq__add__iff2 ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_eq__add__iff2-1, axiom, ( ~class_Rings_Oring(_u6599) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6599), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6599), _u6600), _u6601)), _u6602) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6599), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6599), _u6603), _u6601)), _u6604)) | ( _u6602 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6599), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6599), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6599), _u6603), _u6600)), _u6601)), _u6604)) )).
% 39.89/40.06 cnf(fact_eq__add__iff2-2, axiom, ( ~class_Rings_Oring(_u6599) | ( _u6602 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6599), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6599), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6599), _u6603), _u6600)), _u6601)), _u6604)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6599), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6599), _u6600), _u6601)), _u6602) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6599), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6599), _u6603), _u6601)), _u6604)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_square__eq__1__iff ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_square__eq__1__iff-1, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u6605) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6605), _u6606), _u6606) != c_Groups_Oone__class_Oone(_u6605)) | ( _u6606 = c_Groups_Oone__class_Oone(_u6605)) | ( _u6606 = hAPP(c_Groups_Ouminus__class_Ouminus(_u6605), c_Groups_Oone__class_Oone(_u6605))) )).
% 39.89/40.06 cnf(fact_square__eq__1__iff-2, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u6605) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6605), _u6606), _u6606) = c_Groups_Oone__class_Oone(_u6605)) | ( _u6606 != c_Groups_Oone__class_Oone(_u6605)) )).
% 39.89/40.06 cnf(fact_square__eq__1__iff-3, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u6605) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6605), _u6606), _u6606) = c_Groups_Oone__class_Oone(_u6605)) | ( _u6606 != hAPP(c_Groups_Ouminus__class_Ouminus(_u6605), c_Groups_Oone__class_Oone(_u6605))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_fun__left__comm__idem ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_fun__left__comm__idem-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u6607) | c_Finite__Set_Ofun__left__comm__idem(_u6607, _u6607, c_Groups_Otimes__class_Otimes(_u6607)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_vimage__Collect__eq ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_vimage__Collect__eq-1, axiom, ( ( hAPP(c_Set_Ovimage(_u6608, _u6609, _u6610), hAPP(c_Set_OCollect(_u6609), _u6611)) = hAPP(c_Set_OCollect(_u6608), hAPP(hAPP(c_COMBB(_u6609, tc_HOL_Obool, _u6608), _u6611), _u6610))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_triple__valid__Suc ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_triple__valid__Suc-1, axiom, ( ~c_Hoare__Mirabelle_Otriple__valid(_u6612, hAPP(c_Nat_OSuc, _u6613), _u6614) | c_Hoare__Mirabelle_Otriple__valid(_u6612, _u6613, _u6614) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_vimage__UN ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_vimage__UN-1, axiom, ( ( hAPP(c_Set_Ovimage(_u6615, _u6616, _u6617), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6618, tc_fun(_u6616, tc_HOL_Obool)), _u6619), _u6620)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6618, tc_fun(_u6615, tc_HOL_Obool)), _u6619), hAPP(hAPP(c_COMBB(tc_fun(_u6616, tc_HOL_Obool), tc_fun(_u6615, tc_HOL_Obool), _u6618), c_Set_Ovimage(_u6615, _u6616, _u6617)), _u6620))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_setsum__right__distrib ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_setsum__right__distrib-1, axiom, ( ~class_Rings_Osemiring__0(_u6621) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6621), _u6622), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6623, _u6621), _u6624), _u6625)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6623, _u6621), hAPP(hAPP(c_COMBB(_u6621, _u6621, _u6623), hAPP(c_Groups_Otimes__class_Otimes(_u6621), _u6622)), _u6624)), _u6625)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_setsum__left__distrib ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_setsum__left__distrib-1, axiom, ( ~class_Rings_Osemiring__0(_u6626) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6626), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6627, _u6626), _u6628), _u6629)), _u6630) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6627, _u6626), hAPP(hAPP(c_COMBC(_u6627, _u6626, _u6626), hAPP(hAPP(c_COMBB(_u6626, tc_fun(_u6626, _u6626), _u6627), c_Groups_Otimes__class_Otimes(_u6626)), _u6628)), _u6630)), _u6629)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_setsum__product ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_setsum__product-1, axiom, ( ~class_Rings_Osemiring__0(_u6631) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6631), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6632, _u6631), _u6633), _u6634)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6635, _u6631), _u6636), _u6637)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6632, _u6631), hAPP(hAPP(c_COMBC(_u6632, tc_fun(_u6635, tc_HOL_Obool), _u6631), hAPP(hAPP(c_COMBB(tc_fun(_u6635, _u6631), tc_fun(tc_fun(_u6635, tc_HOL_Obool), _u6631), _u6632), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6635, _u6631)), hAPP(hAPP(c_COMBC(_u6632, tc_fun(_u6635, _u6631), tc_fun(_u6635, _u6631)), hAPP(hAPP(c_COMBB(tc_fun(_u6631, _u6631), tc_fun(tc_fun(_u6635, _u6631), tc_fun(_u6635, _u6631)), _u6632), c_COMBB(_u6631, _u6631, _u6635)), hAPP(hAPP(c_COMBB(_u6631, tc_fun(_u6631, _u6631), _u6632), c_Groups_Otimes__class_Otimes(_u6631)), _u6633))), _u6636))), _u6637)), _u6634)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_le__add__iff2 ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_le__add__iff2-1, axiom, ( ~class_Rings_Oordered__ring(_u6638) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6638), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6638), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6638), _u6639), _u6640)), _u6641)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6638), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6638), _u6642), _u6640)), _u6643))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6638), _u6641), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6638), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6638), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6638), _u6642), _u6639)), _u6640)), _u6643))) )).
% 39.89/40.06 cnf(fact_le__add__iff2-2, axiom, ( ~class_Rings_Oordered__ring(_u6638) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6638), _u6641), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6638), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6638), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6638), _u6642), _u6639)), _u6640)), _u6643))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6638), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6638), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6638), _u6639), _u6640)), _u6641)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6638), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6638), _u6642), _u6640)), _u6643))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_le__add__iff1 ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_le__add__iff1-1, axiom, ( ~class_Rings_Oordered__ring(_u6644) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6644), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6644), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6644), _u6645), _u6646)), _u6647)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6644), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6644), _u6648), _u6646)), _u6649))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6644), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6644), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6644), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6644), _u6645), _u6648)), _u6646)), _u6647)), _u6649)) )).
% 39.89/40.06 cnf(fact_le__add__iff1-2, axiom, ( ~class_Rings_Oordered__ring(_u6644) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6644), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6644), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6644), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6644), _u6645), _u6648)), _u6646)), _u6647)), _u6649)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6644), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6644), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6644), _u6645), _u6646)), _u6647)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6644), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6644), _u6648), _u6646)), _u6649))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_less__add__iff1 ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_less__add__iff1-1, axiom, ( ~class_Rings_Oordered__ring(_u6650) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6650), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6650), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6650), _u6651), _u6652)), _u6653)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6650), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6650), _u6654), _u6652)), _u6655))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6650), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6650), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6650), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6650), _u6651), _u6654)), _u6652)), _u6653)), _u6655)) )).
% 39.89/40.06 cnf(fact_less__add__iff1-2, axiom, ( ~class_Rings_Oordered__ring(_u6650) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6650), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6650), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6650), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6650), _u6651), _u6654)), _u6652)), _u6653)), _u6655)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6650), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6650), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6650), _u6651), _u6652)), _u6653)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6650), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6650), _u6654), _u6652)), _u6655))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_less__add__iff2 ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_less__add__iff2-1, axiom, ( ~class_Rings_Oordered__ring(_u6656) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6656), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6656), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6656), _u6657), _u6658)), _u6659)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6656), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6656), _u6660), _u6658)), _u6661))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6656), _u6659), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6656), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6656), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6656), _u6660), _u6657)), _u6658)), _u6661))) )).
% 39.89/40.06 cnf(fact_less__add__iff2-2, axiom, ( ~class_Rings_Oordered__ring(_u6656) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6656), _u6659), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6656), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6656), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6656), _u6660), _u6657)), _u6658)), _u6661))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6656), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6656), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6656), _u6657), _u6658)), _u6659)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6656), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6656), _u6660), _u6658)), _u6661))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_image__vimage__subset ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_image__vimage__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6662, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u6663, _u6662, _u6664), hAPP(c_Set_Ovimage(_u6663, _u6662, _u6664), _u6665))), _u6665)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_surj__image__vimage__eq ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_surj__image__vimage__eq-1, axiom, ( ( hAPP(c_Set_Oimage(_u6666, _u6667, _u6668), c_Orderings_Otop__class_Otop(tc_fun(_u6666, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u6667, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u6666, _u6667, _u6668), hAPP(c_Set_Ovimage(_u6666, _u6667, _u6668), _u6669)) = _u6669) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u6670) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6670), _u6671), _u6671) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6670), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6670), c_Groups_Oone__class_Oone(_u6670)), c_Groups_Oone__class_Oone(_u6670))), _u6671)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u6672) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6672), _u6673), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6672), _u6674), _u6673)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6672), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6672), _u6674), c_Groups_Oone__class_Oone(_u6672))), _u6673)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u6675) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6675), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6675), _u6676), _u6677)), _u6677) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6675), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6675), _u6676), c_Groups_Oone__class_Oone(_u6675))), _u6677)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_less__iff__Suc__add ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_less__iff__Suc__add-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6682), _u6684)) | ( _u6684 = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6682), skolem126(_u6684, _u6682)))) )).
% 39.89/40.06 cnf(fact_less__iff__Suc__add-2, axiom, ( ( _u6685 != hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6683), _u6679))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6683), _u6685)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_less__add__Suc2 ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_less__add__Suc2-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6686), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6687), _u6686)))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_less__add__Suc1 ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_less__add__Suc1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6688), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6688), _u6689)))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J-1, axiom, ( ~class_Rings_Ocomm__ring__1(_u6690) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u6690), _u6691) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6690), hAPP(c_Groups_Ouminus__class_Ouminus(_u6690), c_Groups_Oone__class_Oone(_u6690))), _u6691)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_less__eq__Suc__le ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_less__eq__Suc__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6694), _u6696)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6694)), _u6696)) )).
% 39.89/40.06 cnf(fact_less__eq__Suc__le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6695)), _u6697)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6695), _u6697)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_less__Suc__eq__le ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_less__Suc__eq__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6700), hAPP(c_Nat_OSuc, _u6702))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6700), _u6702)) )).
% 39.89/40.06 cnf(fact_less__Suc__eq__le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6701), _u6703)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6701), hAPP(c_Nat_OSuc, _u6703))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_Suc__le__eq ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_Suc__le__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6706)), _u6708)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6706), _u6708)) )).
% 39.89/40.06 cnf(fact_Suc__le__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6707), _u6709)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6707)), _u6709)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_le__imp__less__Suc ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_le__imp__less__Suc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6710), _u6711)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6710), hAPP(c_Nat_OSuc, _u6711))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_Suc__leI ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_Suc__leI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6712), _u6713)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6712)), _u6713)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_le__less__Suc__eq ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_le__less__Suc__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6714), _u6715)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6715), hAPP(c_Nat_OSuc, _u6714))) | ( _u6715 = _u6714) )).
% 39.89/40.06 cnf(fact_le__less__Suc__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6714), _u6715)) | ( _u6715 != _u6714) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6715), hAPP(c_Nat_OSuc, _u6714))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_Suc__le__lessD ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_Suc__le__lessD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6716)), _u6717)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6716), _u6717)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_diff__less__Suc ( axiom ) converted to clauses:
% 39.89/40.06 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), _u6718), _u6719)), hAPP(c_Nat_OSuc, _u6718))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_Suc__diff__le ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_Suc__diff__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6720), _u6721)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6721)), _u6720) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6721), _u6720))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_diff__Suc__1 ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_diff__Suc__1-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6722)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u6722) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_vimage__def ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_vimage__def-1, axiom, ( ( hAPP(c_Set_Ovimage(_u6723, _u6724, _u6725), _u6726) = hAPP(c_Set_OCollect(_u6723), hAPP(hAPP(c_COMBC(_u6723, tc_fun(_u6724, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u6724, tc_fun(tc_fun(_u6724, tc_HOL_Obool), tc_HOL_Obool), _u6723), c_member(_u6724)), _u6725)), _u6726))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_less__eq__Suc__le__raw ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_less__eq__Suc__le__raw-1, axiom, ( ( hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6727) = hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6727))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_map__comp__simps_I1_J ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_map__comp__simps_I1_J-1, axiom, ( ( hAPP(_u6728, _u6729) != c_Option_Ooption_ONone(_u6730)) | ( c_Map_Omap__comp(_u6730, _u6731, _u6732, _u6733, _u6728, _u6729) = c_Option_Ooption_ONone(_u6731)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_map__comp__Some__iff ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_map__comp__Some__iff-1, axiom, ( ( c_Map_Omap__comp(_u6743, _u6745, _u6747, _u6749, _u6751, _u6753) != hAPP(c_Option_Ooption_OSome(_u6745), _u6755)) | ( hAPP(_u6751, _u6753) = hAPP(c_Option_Ooption_OSome(_u6743), skolem127(_u6755, _u6753, _u6751, _u6749, _u6747, _u6745, _u6743))) )).
% 39.89/40.06 cnf(fact_map__comp__Some__iff-2, axiom, ( ( c_Map_Omap__comp(_u6743, _u6745, _u6747, _u6749, _u6751, _u6753) != hAPP(c_Option_Ooption_OSome(_u6745), _u6755)) | ( hAPP(_u6749, skolem127(_u6755, _u6753, _u6751, _u6749, _u6747, _u6745, _u6743)) = hAPP(c_Option_Ooption_OSome(_u6745), _u6755)) )).
% 39.89/40.06 cnf(fact_map__comp__Some__iff-3, axiom, ( ( hAPP(_u6752, _u6754) != hAPP(c_Option_Ooption_OSome(_u6744), _u6735)) | ( hAPP(_u6750, _u6735) != hAPP(c_Option_Ooption_OSome(_u6746), _u6756)) | ( c_Map_Omap__comp(_u6744, _u6746, _u6748, _u6750, _u6752, _u6754) = hAPP(c_Option_Ooption_OSome(_u6746), _u6756)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_map__comp__simps_I2_J ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_map__comp__simps_I2_J-1, axiom, ( ( hAPP(_u6757, _u6758) != hAPP(c_Option_Ooption_OSome(_u6759), _u6760)) | ( c_Map_Omap__comp(_u6759, _u6761, _u6762, _u6763, _u6757, _u6758) = hAPP(_u6763, _u6760)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_vimage__singleton__eq ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_vimage__singleton__eq-1, axiom, ( ( hAPP(_u6775, _u6771) = _u6777) | ~hBOOL(hAPP(hAPP(c_member(_u6769), _u6771), hAPP(c_Set_Ovimage(_u6769, _u6773, _u6775), hAPP(hAPP(c_Set_Oinsert(_u6773), _u6777), c_Orderings_Obot__class_Obot(tc_fun(_u6773, tc_HOL_Obool)))))) )).
% 39.89/40.06 cnf(fact_vimage__singleton__eq-2, axiom, ( ( hAPP(_u6776, _u6772) != _u6778) | hBOOL(hAPP(hAPP(c_member(_u6770), _u6772), hAPP(c_Set_Ovimage(_u6770, _u6774, _u6776), hAPP(hAPP(c_Set_Oinsert(_u6774), _u6778), c_Orderings_Obot__class_Obot(tc_fun(_u6774, tc_HOL_Obool)))))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_vimage__insert ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_vimage__insert-1, axiom, ( ( hAPP(c_Set_Ovimage(_u6779, _u6780, _u6781), hAPP(hAPP(c_Set_Oinsert(_u6780), _u6782), _u6783)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6779, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u6779, _u6780, _u6781), hAPP(hAPP(c_Set_Oinsert(_u6780), _u6782), c_Orderings_Obot__class_Obot(tc_fun(_u6780, tc_HOL_Obool))))), hAPP(c_Set_Ovimage(_u6779, _u6780, _u6781), _u6783))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_finite__vimageD ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_finite__vimageD-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6784), hAPP(c_Set_Ovimage(_u6784, _u6785, _u6786), _u6787))) | ( hAPP(c_Set_Oimage(_u6784, _u6785, _u6786), c_Orderings_Otop__class_Otop(tc_fun(_u6784, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u6785, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u6785), _u6787)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_vimage__subsetD ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_vimage__subsetD-1, axiom, ( ( hAPP(c_Set_Oimage(_u6788, _u6789, _u6790), c_Orderings_Otop__class_Otop(tc_fun(_u6788, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u6789, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6788, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u6788, _u6789, _u6790), _u6791)), _u6792)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6789, tc_HOL_Obool)), _u6791), hAPP(c_Set_Oimage(_u6788, _u6789, _u6790), _u6792))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_image__vimage__eq ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_image__vimage__eq-1, axiom, ( ( hAPP(c_Set_Oimage(_u6793, _u6794, _u6795), hAPP(c_Set_Ovimage(_u6793, _u6794, _u6795), _u6796)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6794, tc_HOL_Obool)), _u6796), hAPP(c_Set_Oimage(_u6793, _u6794, _u6795), c_Orderings_Otop__class_Otop(tc_fun(_u6793, tc_HOL_Obool))))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_finite__vimageI ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_finite__vimageI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6797), _u6798)) | ~c_Fun_Oinj__on(_u6799, _u6797, _u6800, c_Orderings_Otop__class_Otop(tc_fun(_u6799, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u6799), hAPP(c_Set_Ovimage(_u6799, _u6797, _u6800), _u6798))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_inj__vimage__image__eq ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_inj__vimage__image__eq-1, axiom, ( ~c_Fun_Oinj__on(_u6801, _u6802, _u6803, c_Orderings_Otop__class_Otop(tc_fun(_u6801, tc_HOL_Obool))) | ( hAPP(c_Set_Ovimage(_u6801, _u6802, _u6803), hAPP(c_Set_Oimage(_u6801, _u6802, _u6803), _u6804)) = _u6804) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_diff__Suc__diff__eq1 ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_diff__Suc__diff__eq1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6805), _u6806)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6807), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6806), _u6805))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6807), _u6805)), hAPP(c_Nat_OSuc, _u6806))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_diff__Suc__diff__eq2 ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_diff__Suc__diff__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6808), _u6809)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6809), _u6808))), _u6810) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6809)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6808), _u6810))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_linorder__neqE__linordered__idom ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_linorder__neqE__linordered__idom-1, axiom, ( ~class_Rings_Olinordered__idom(_u6811) | ( _u6812 = _u6813) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6811), _u6812), _u6813)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6811), _u6813), _u6812)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_map__comp__empty_I1_J ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_map__comp__empty_I1_J-1, axiom, ( ( c_Map_Omap__comp(_u6814, _u6815, _u6816, _u6817, hAPP(c_COMBK(tc_Option_Ooption(_u6814), _u6816), c_Option_Ooption_ONone(_u6814)), _u6818) = c_Option_Ooption_ONone(_u6815)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_map__comp__empty_I2_J ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_map__comp__empty_I2_J-1, axiom, ( ( c_Map_Omap__comp(_u6819, _u6820, _u6821, hAPP(c_COMBK(tc_Option_Ooption(_u6820), _u6819), c_Option_Ooption_ONone(_u6820)), _u6822, _u6823) = c_Option_Ooption_ONone(_u6820)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_Id__on__empty ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_Id__on__empty-1, axiom, ( ( c_Relation_OId__on(_u6824, c_Orderings_Obot__class_Obot(tc_fun(_u6824, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u6824, _u6824), tc_HOL_Obool))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_vimage__const ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_vimage__const-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u6829), _u6831), _u6833)) | ( hAPP(c_Set_Ovimage(_u6835, _u6829, hAPP(c_COMBK(_u6829, _u6835), _u6831)), _u6833) = c_Orderings_Otop__class_Otop(tc_fun(_u6835, tc_HOL_Obool))) )).
% 39.89/40.06 cnf(fact_vimage__const-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u6830), _u6832), _u6834)) | ( hAPP(c_Set_Ovimage(_u6836, _u6830, hAPP(c_COMBK(_u6830, _u6836), _u6832)), _u6834) = c_Orderings_Obot__class_Obot(tc_fun(_u6836, tc_HOL_Obool))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_Image__Id__on ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_Image__Id__on-1, axiom, ( ( hAPP(c_Relation_OImage(_u6837, _u6837, c_Relation_OId__on(_u6837, _u6838)), _u6839) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6837, tc_HOL_Obool)), _u6838), _u6839)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_vimage__eq__UN ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_vimage__eq__UN-1, axiom, ( ( hAPP(c_Set_Ovimage(_u6840, _u6841, _u6842), _u6843) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6841, tc_fun(_u6840, tc_HOL_Obool)), _u6843), hAPP(hAPP(c_COMBB(tc_fun(_u6841, tc_HOL_Obool), tc_fun(_u6840, tc_HOL_Obool), _u6841), c_Set_Ovimage(_u6840, _u6841, _u6842)), hAPP(hAPP(c_COMBC(_u6841, tc_fun(_u6841, tc_HOL_Obool), tc_fun(_u6841, tc_HOL_Obool)), c_Set_Oinsert(_u6841)), c_Orderings_Obot__class_Obot(tc_fun(_u6841, tc_HOL_Obool)))))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_fold__image__distrib ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_fold__image__distrib-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u6844) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6845), _u6846)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u6844, _u6845, c_Groups_Otimes__class_Otimes(_u6844)), hAPP(hAPP(c_COMBS(_u6845, _u6844, _u6844), hAPP(hAPP(c_COMBB(_u6844, tc_fun(_u6844, _u6844), _u6845), c_Groups_Otimes__class_Otimes(_u6844)), _u6847)), _u6848)), c_Groups_Oone__class_Oone(_u6844)), _u6846) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6844), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u6844, _u6845, c_Groups_Otimes__class_Otimes(_u6844)), _u6847), c_Groups_Oone__class_Oone(_u6844)), _u6846)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u6844, _u6845, c_Groups_Otimes__class_Otimes(_u6844)), _u6848), c_Groups_Oone__class_Oone(_u6844)), _u6846))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_card__insert__if ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_card__insert__if-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6849), _u6850)) | ~hBOOL(hAPP(hAPP(c_member(_u6849), _u6851), _u6850)) | ( hAPP(c_Finite__Set_Ocard(_u6849), hAPP(hAPP(c_Set_Oinsert(_u6849), _u6851), _u6850)) = hAPP(c_Finite__Set_Ocard(_u6849), _u6850)) )).
% 39.89/40.06 cnf(fact_card__insert__if-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6849), _u6850)) | hBOOL(hAPP(hAPP(c_member(_u6849), _u6851), _u6850)) | ( hAPP(c_Finite__Set_Ocard(_u6849), hAPP(hAPP(c_Set_Oinsert(_u6849), _u6851), _u6850)) = hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u6849), _u6850))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_card__insert__disjoint ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_card__insert__disjoint-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6852), _u6853)) | hBOOL(hAPP(hAPP(c_member(_u6852), _u6854), _u6853)) | ( hAPP(c_Finite__Set_Ocard(_u6852), hAPP(hAPP(c_Set_Oinsert(_u6852), _u6854), _u6853)) = hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u6852), _u6853))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_vimage__subsetI ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_vimage__subsetI-1, axiom, ( ~c_Fun_Oinj__on(_u6855, _u6856, _u6857, c_Orderings_Otop__class_Otop(tc_fun(_u6855, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6856, tc_HOL_Obool)), _u6858), hAPP(c_Set_Oimage(_u6855, _u6856, _u6857), _u6859))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6855, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u6855, _u6856, _u6857), _u6858)), _u6859)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_fold__image__insert ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_fold__image__insert-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u6860) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6861), _u6862)) | hBOOL(hAPP(hAPP(c_member(_u6861), _u6863), _u6862)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u6860, _u6861, c_Groups_Otimes__class_Otimes(_u6860)), _u6864), _u6865), hAPP(hAPP(c_Set_Oinsert(_u6861), _u6863), _u6862)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6860), hAPP(_u6864, _u6863)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u6860, _u6861, c_Groups_Otimes__class_Otimes(_u6860)), _u6864), _u6865), _u6862))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_vimage__if ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_vimage__if-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u6872), _u6874), _u6876)) | ~hBOOL(hAPP(hAPP(c_member(_u6872), _u6878), _u6876)) | ( hAPP(c_Set_Ovimage(_u6880, _u6872, hAPP(hAPP(c_COMBC(_u6880, _u6872, _u6872), hAPP(hAPP(c_COMBC(_u6880, _u6872, tc_fun(_u6872, _u6872)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u6872, tc_fun(_u6872, _u6872)), _u6880), c_If(_u6872)), hAPP(hAPP(c_COMBC(_u6880, tc_fun(_u6880, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6880)), _u6882))), _u6874)), _u6878)), _u6876) = c_Orderings_Otop__class_Otop(tc_fun(_u6880, tc_HOL_Obool))) )).
% 39.89/40.06 cnf(fact_vimage__if-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u6872), _u6874), _u6876)) | hBOOL(hAPP(hAPP(c_member(_u6872), _u6878), _u6876)) | ( hAPP(c_Set_Ovimage(_u6880, _u6872, hAPP(hAPP(c_COMBC(_u6880, _u6872, _u6872), hAPP(hAPP(c_COMBC(_u6880, _u6872, tc_fun(_u6872, _u6872)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u6872, tc_fun(_u6872, _u6872)), _u6880), c_If(_u6872)), hAPP(hAPP(c_COMBC(_u6880, tc_fun(_u6880, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6880)), _u6882))), _u6874)), _u6878)), _u6876) = _u6882) )).
% 39.89/40.06 cnf(fact_vimage__if-3, axiom, ( hBOOL(hAPP(hAPP(c_member(_u6873), _u6875), _u6877)) | ~hBOOL(hAPP(hAPP(c_member(_u6873), _u6879), _u6877)) | ( hAPP(c_Set_Ovimage(_u6881, _u6873, hAPP(hAPP(c_COMBC(_u6881, _u6873, _u6873), hAPP(hAPP(c_COMBC(_u6881, _u6873, tc_fun(_u6873, _u6873)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u6873, tc_fun(_u6873, _u6873)), _u6881), c_If(_u6873)), hAPP(hAPP(c_COMBC(_u6881, tc_fun(_u6881, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6881)), _u6883))), _u6875)), _u6879)), _u6877) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6881, tc_HOL_Obool)), _u6883)) )).
% 39.89/40.06 cnf(fact_vimage__if-4, axiom, ( hBOOL(hAPP(hAPP(c_member(_u6873), _u6875), _u6877)) | hBOOL(hAPP(hAPP(c_member(_u6873), _u6879), _u6877)) | ( hAPP(c_Set_Ovimage(_u6881, _u6873, hAPP(hAPP(c_COMBC(_u6881, _u6873, _u6873), hAPP(hAPP(c_COMBC(_u6881, _u6873, tc_fun(_u6873, _u6873)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u6873, tc_fun(_u6873, _u6873)), _u6881), c_If(_u6873)), hAPP(hAPP(c_COMBC(_u6881, tc_fun(_u6881, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6881)), _u6883))), _u6875)), _u6879)), _u6877) = c_Orderings_Obot__class_Obot(tc_fun(_u6881, tc_HOL_Obool))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_Id__on__eqI ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_Id__on__eqI-1, axiom, ( ( _u6884 != _u6885) | ~hBOOL(hAPP(hAPP(c_member(_u6886), _u6884), _u6887)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u6886, _u6886)), hAPP(hAPP(c_Product__Type_OPair(_u6886, _u6886), _u6884), _u6885)), c_Relation_OId__on(_u6886, _u6887))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_Id__on__iff ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_Id__on__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u6892, _u6892)), hAPP(hAPP(c_Product__Type_OPair(_u6892, _u6892), _u6894), _u6896)), c_Relation_OId__on(_u6892, _u6898))) | ( _u6894 = _u6896) )).
% 39.89/40.06 cnf(fact_Id__on__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u6892, _u6892)), hAPP(hAPP(c_Product__Type_OPair(_u6892, _u6892), _u6894), _u6896)), c_Relation_OId__on(_u6892, _u6898))) | hBOOL(hAPP(hAPP(c_member(_u6892), _u6894), _u6898)) )).
% 39.89/40.06 cnf(fact_Id__on__iff-3, axiom, ( ( _u6895 != _u6897) | ~hBOOL(hAPP(hAPP(c_member(_u6893), _u6895), _u6899)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u6893, _u6893)), hAPP(hAPP(c_Product__Type_OPair(_u6893, _u6893), _u6895), _u6897)), c_Relation_OId__on(_u6893, _u6899))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_map__comp__None__iff ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_map__comp__None__iff-1, axiom, ( ( c_Map_Omap__comp(_u6908, _u6910, _u6912, _u6914, _u6916, _u6918) != c_Option_Ooption_ONone(_u6910)) | ( hAPP(_u6916, _u6918) = c_Option_Ooption_ONone(_u6908)) | ( hAPP(_u6916, _u6918) = hAPP(c_Option_Ooption_OSome(_u6908), skolem128(_u6918, _u6916, _u6914, _u6912, _u6910, _u6908))) )).
% 39.89/40.06 cnf(fact_map__comp__None__iff-2, axiom, ( ( c_Map_Omap__comp(_u6908, _u6910, _u6912, _u6914, _u6916, _u6918) != c_Option_Ooption_ONone(_u6910)) | ( hAPP(_u6916, _u6918) = c_Option_Ooption_ONone(_u6908)) | ( hAPP(_u6914, skolem128(_u6918, _u6916, _u6914, _u6912, _u6910, _u6908)) = c_Option_Ooption_ONone(_u6910)) )).
% 39.89/40.06 cnf(fact_map__comp__None__iff-3, axiom, ( ( c_Map_Omap__comp(_u6909, _u6911, _u6913, _u6915, _u6917, _u6919) = c_Option_Ooption_ONone(_u6911)) | ( hAPP(_u6917, _u6919) != c_Option_Ooption_ONone(_u6909)) )).
% 39.89/40.06 cnf(fact_map__comp__None__iff-4, axiom, ( ( c_Map_Omap__comp(_u6909, _u6911, _u6913, _u6915, _u6917, _u6919) = c_Option_Ooption_ONone(_u6911)) | ( hAPP(_u6917, _u6919) != hAPP(c_Option_Ooption_OSome(_u6909), _u6901)) | ( hAPP(_u6915, _u6901) != c_Option_Ooption_ONone(_u6911)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_card__insert ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_card__insert-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6920), _u6921)) | ( hAPP(c_Finite__Set_Ocard(_u6920), hAPP(hAPP(c_Set_Oinsert(_u6920), _u6922), _u6921)) = hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u6920), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6920, tc_HOL_Obool)), _u6921), hAPP(hAPP(c_Set_Oinsert(_u6920), _u6922), c_Orderings_Obot__class_Obot(tc_fun(_u6920, tc_HOL_Obool))))))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_fold__image__Un__Int ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_fold__image__Un__Int-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u6923) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6924), _u6925)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6924), _u6926)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6923), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u6923, _u6924, c_Groups_Otimes__class_Otimes(_u6923)), _u6927), c_Groups_Oone__class_Oone(_u6923)), _u6925)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u6923, _u6924, c_Groups_Otimes__class_Otimes(_u6923)), _u6927), c_Groups_Oone__class_Oone(_u6923)), _u6926)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6923), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u6923, _u6924, c_Groups_Otimes__class_Otimes(_u6923)), _u6927), c_Groups_Oone__class_Oone(_u6923)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6924, tc_HOL_Obool)), _u6925), _u6926))), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u6923, _u6924, c_Groups_Otimes__class_Otimes(_u6923)), _u6927), c_Groups_Oone__class_Oone(_u6923)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6924, tc_HOL_Obool)), _u6925), _u6926)))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_fold__image__reindex ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_fold__image__reindex-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u6928) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6929), _u6930)) | ~c_Fun_Oinj__on(_u6929, _u6931, _u6932, _u6930) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u6928, _u6931, c_Groups_Otimes__class_Otimes(_u6928)), _u6933), _u6934), hAPP(c_Set_Oimage(_u6929, _u6931, _u6932), _u6930)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u6928, _u6929, c_Groups_Otimes__class_Otimes(_u6928)), hAPP(c_Fun_Ocomp(_u6931, _u6928, _u6929, _u6933), _u6932)), _u6934), _u6930)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_nat__less__add__iff1 ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_nat__less__add__iff1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6935), _u6936)) | ~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), _u6936), _u6937)), _u6938)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6935), _u6937)), _u6939))) | 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), _u6936), _u6935)), _u6937)), _u6938)), _u6939)) )).
% 39.89/40.06 cnf(fact_nat__less__add__iff1-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6935), _u6936)) | ~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), _u6936), _u6935)), _u6937)), _u6938)), _u6939)) | 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), _u6936), _u6937)), _u6938)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6935), _u6937)), _u6939))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_nat__less__add__iff2 ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_nat__less__add__iff2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6940), _u6941)) | ~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), _u6940), _u6942)), _u6943)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6941), _u6942)), _u6944))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6943), 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), _u6941), _u6940)), _u6942)), _u6944))) )).
% 39.89/40.06 cnf(fact_nat__less__add__iff2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6940), _u6941)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6943), 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), _u6941), _u6940)), _u6942)), _u6944))) | 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), _u6940), _u6942)), _u6943)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6941), _u6942)), _u6944))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_diff__Suc__eq__diff__pred ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_diff__Suc__eq__diff__pred-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6945), hAPP(c_Nat_OSuc, _u6946)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6945), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u6946)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_Suc__eq__plus1__left ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_Suc__eq__plus1__left-1, axiom, ( ( hAPP(c_Nat_OSuc, _u6947) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u6947)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_Suc__eq__plus1 ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_Suc__eq__plus1-1, axiom, ( ( hAPP(c_Nat_OSuc, _u6948) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6948), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_nat__le__add__iff1 ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_nat__le__add__iff1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6949), _u6950)) | ~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), _u6950), _u6951)), _u6952)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6949), _u6951)), _u6953))) | 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), _u6950), _u6949)), _u6951)), _u6952)), _u6953)) )).
% 39.89/40.06 cnf(fact_nat__le__add__iff1-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6949), _u6950)) | ~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), _u6950), _u6949)), _u6951)), _u6952)), _u6953)) | 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), _u6950), _u6951)), _u6952)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6949), _u6951)), _u6953))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_nat__diff__add__eq1 ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_nat__diff__add__eq1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6954), _u6955)) | ( 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), _u6955), _u6956)), _u6957)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6954), _u6956)), _u6958)) = 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), _u6955), _u6954)), _u6956)), _u6957)), _u6958)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_nat__mult__commute ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_nat__mult__commute-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6959), _u6960) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6960), _u6959)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_nat__mult__assoc ( axiom ) converted to clauses:
% 39.89/40.06 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), _u6961), _u6962)), _u6963) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6961), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6962), _u6963))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_left__add__mult__distrib ( axiom ) converted to clauses:
% 39.89/40.06 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), _u6964), _u6965)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6966), _u6965)), _u6967)) = 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), _u6964), _u6966)), _u6965)), _u6967)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_nat__eq__add__iff2 ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_nat__eq__add__iff2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6968), _u6969)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6968), _u6970)), _u6971) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6969), _u6970)), _u6972)) | ( _u6971 = 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), _u6969), _u6968)), _u6970)), _u6972)) )).
% 39.89/40.06 cnf(fact_nat__eq__add__iff2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6968), _u6969)) | ( _u6971 != 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), _u6969), _u6968)), _u6970)), _u6972)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6968), _u6970)), _u6971) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6969), _u6970)), _u6972)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_nat__diff__add__eq2 ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_nat__diff__add__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6973), _u6974)) | ( 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), _u6973), _u6975)), _u6976)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6974), _u6975)), _u6977)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6976), 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), _u6974), _u6973)), _u6975)), _u6977))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_nat__le__add__iff2 ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_nat__le__add__iff2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6978), _u6979)) | ~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), _u6978), _u6980)), _u6981)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6979), _u6980)), _u6982))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6981), 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), _u6979), _u6978)), _u6980)), _u6982))) )).
% 39.89/40.06 cnf(fact_nat__le__add__iff2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6978), _u6979)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6981), 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), _u6979), _u6978)), _u6980)), _u6982))) | 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), _u6978), _u6980)), _u6981)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6979), _u6980)), _u6982))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_nat__eq__add__iff1 ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_nat__eq__add__iff1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6983), _u6984)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6984), _u6985)), _u6986) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6983), _u6985)), _u6987)) | ( 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), _u6984), _u6983)), _u6985)), _u6986) = _u6987) )).
% 39.89/40.06 cnf(fact_nat__eq__add__iff1-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6983), _u6984)) | ( 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), _u6984), _u6983)), _u6985)), _u6986) != _u6987) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6984), _u6985)), _u6986) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6983), _u6985)), _u6987)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_setsum__multicount ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_setsum__multicount-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6989), _u6990)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6991), _u6992)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6989, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u6991, tc_HOL_Obool), tc_Nat_Onat, _u6989), c_Finite__Set_Ocard(_u6991)), hAPP(hAPP(c_COMBB(tc_fun(_u6991, tc_HOL_Obool), tc_fun(_u6991, tc_HOL_Obool), _u6989), c_Set_OCollect(_u6991)), hAPP(hAPP(c_COMBB(tc_fun(_u6991, tc_HOL_Obool), tc_fun(_u6991, tc_HOL_Obool), _u6989), hAPP(c_COMBS(_u6991, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6991), c_fconj), hAPP(hAPP(c_COMBC(_u6991, tc_fun(_u6991, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6991)), _u6992)))), _u6993)))), _u6990) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6994), hAPP(c_Finite__Set_Ocard(_u6991), _u6992))) | hBOOL(hAPP(hAPP(c_member(_u6991), skolem129(_u6994, _u6993, _u6992, _u6991, _u6990, _u6989)), _u6992)) )).
% 39.89/40.06 cnf(fact_setsum__multicount-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6989), _u6990)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6991), _u6992)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6989, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u6991, tc_HOL_Obool), tc_Nat_Onat, _u6989), c_Finite__Set_Ocard(_u6991)), hAPP(hAPP(c_COMBB(tc_fun(_u6991, tc_HOL_Obool), tc_fun(_u6991, tc_HOL_Obool), _u6989), c_Set_OCollect(_u6991)), hAPP(hAPP(c_COMBB(tc_fun(_u6991, tc_HOL_Obool), tc_fun(_u6991, tc_HOL_Obool), _u6989), hAPP(c_COMBS(_u6991, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6991), c_fconj), hAPP(hAPP(c_COMBC(_u6991, tc_fun(_u6991, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6991)), _u6992)))), _u6993)))), _u6990) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6994), hAPP(c_Finite__Set_Ocard(_u6991), _u6992))) | ( hAPP(c_Finite__Set_Ocard(_u6989), hAPP(c_Set_OCollect(_u6989), hAPP(hAPP(c_COMBS(_u6989, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6989), c_fconj), hAPP(hAPP(c_COMBC(_u6989, tc_fun(_u6989, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6989)), _u6990))), hAPP(hAPP(c_COMBC(_u6989, _u6991, tc_HOL_Obool), _u6993), skolem129(_u6994, _u6993, _u6992, _u6991, _u6990, _u6989))))) != _u6994) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_fold__image__Un__one ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_fold__image__Un__one-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u6996) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6997), _u6998)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6997), _u6999)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u6996, _u6997, c_Groups_Otimes__class_Otimes(_u6996)), _u7000), c_Groups_Oone__class_Oone(_u6996)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6997, tc_HOL_Obool)), _u6998), _u6999)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6996), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u6996, _u6997, c_Groups_Otimes__class_Otimes(_u6996)), _u7000), c_Groups_Oone__class_Oone(_u6996)), _u6998)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u6996, _u6997, c_Groups_Otimes__class_Otimes(_u6996)), _u7000), c_Groups_Oone__class_Oone(_u6996)), _u6999))) | hBOOL(hAPP(hAPP(c_member(_u6997), skolem130(_u7000, _u6999, _u6998, _u6997, _u6996)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6997, tc_HOL_Obool)), _u6998), _u6999))) )).
% 39.89/40.06 cnf(fact_fold__image__Un__one-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u6996) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6997), _u6998)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6997), _u6999)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u6996, _u6997, c_Groups_Otimes__class_Otimes(_u6996)), _u7000), c_Groups_Oone__class_Oone(_u6996)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6997, tc_HOL_Obool)), _u6998), _u6999)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6996), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u6996, _u6997, c_Groups_Otimes__class_Otimes(_u6996)), _u7000), c_Groups_Oone__class_Oone(_u6996)), _u6998)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u6996, _u6997, c_Groups_Otimes__class_Otimes(_u6996)), _u7000), c_Groups_Oone__class_Oone(_u6996)), _u6999))) | ( hAPP(_u7000, skolem130(_u7000, _u6999, _u6998, _u6997, _u6996)) != c_Groups_Oone__class_Oone(_u6996)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_finite__fun__UNIVD1 ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_finite__fun__UNIVD1-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u7001, _u7002)), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u7001, _u7002), tc_HOL_Obool)))) | ( hAPP(c_Finite__Set_Ocard(_u7002), c_Orderings_Otop__class_Otop(tc_fun(_u7002, tc_HOL_Obool))) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7001), c_Orderings_Otop__class_Otop(tc_fun(_u7001, tc_HOL_Obool)))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_Id__onE ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_Id__onE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7004, _u7004)), _u7005), c_Relation_OId__on(_u7004, _u7006))) | hBOOL(hAPP(hAPP(c_member(_u7004), skolem131(_u7006, _u7005, _u7004)), _u7006)) )).
% 39.89/40.06 cnf(fact_Id__onE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7004, _u7004)), _u7005), c_Relation_OId__on(_u7004, _u7006))) | ( _u7005 = hAPP(hAPP(c_Product__Type_OPair(_u7004, _u7004), skolem131(_u7006, _u7005, _u7004)), skolem131(_u7006, _u7005, _u7004))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_fold__graph__permute__diff ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_fold__graph__permute__diff-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u7007) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u7007, _u7007, c_Groups_Otimes__class_Otimes(_u7007), _u7008, _u7009), _u7010)) | ~hBOOL(hAPP(hAPP(c_member(_u7007), _u7011), _u7009)) | hBOOL(hAPP(hAPP(c_member(_u7007), _u7008), _u7009)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u7007, _u7007, c_Groups_Otimes__class_Otimes(_u7007), _u7011, hAPP(hAPP(c_Set_Oinsert(_u7007), _u7008), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7007, tc_HOL_Obool)), _u7009), hAPP(hAPP(c_Set_Oinsert(_u7007), _u7011), c_Orderings_Obot__class_Obot(tc_fun(_u7007, tc_HOL_Obool)))))), _u7010)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_Min_Oremove ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_Min_Oremove-1, axiom, ( ~class_Orderings_Olinorder(_u7012) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7012), _u7013)) | ~hBOOL(hAPP(hAPP(c_member(_u7012), _u7014), _u7013)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7012, tc_HOL_Obool)), _u7013), hAPP(hAPP(c_Set_Oinsert(_u7012), _u7014), c_Orderings_Obot__class_Obot(tc_fun(_u7012, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u7012, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u7012, _u7013) = _u7014) )).
% 39.89/40.06 cnf(fact_Min_Oremove-2, axiom, ( ~class_Orderings_Olinorder(_u7012) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7012), _u7013)) | ~hBOOL(hAPP(hAPP(c_member(_u7012), _u7014), _u7013)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7012, tc_HOL_Obool)), _u7013), hAPP(hAPP(c_Set_Oinsert(_u7012), _u7014), c_Orderings_Obot__class_Obot(tc_fun(_u7012, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u7012, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u7012, _u7013) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7012), _u7014), c_Big__Operators_Olinorder__class_OMin(_u7012, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7012, tc_HOL_Obool)), _u7013), hAPP(hAPP(c_Set_Oinsert(_u7012), _u7014), c_Orderings_Obot__class_Obot(tc_fun(_u7012, tc_HOL_Obool))))))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_less__zeroE ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_less__zeroE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7015), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_le0 ( axiom ) converted to clauses:
% 39.89/40.06 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)), _u7016)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_zero__less__Suc ( axiom ) converted to clauses:
% 39.89/40.06 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, _u7017))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_bot__nat__def ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_bot__nat__def-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_zero__reorient ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_zero__reorient-1, axiom, ( ~class_Groups_Ozero(_u7018) | ( c_Groups_Ozero__class_Ozero(_u7018) != _u7019) | ( _u7019 = c_Groups_Ozero__class_Ozero(_u7018)) )).
% 39.89/40.06 cnf(fact_zero__reorient-2, axiom, ( ~class_Groups_Ozero(_u7018) | ( _u7019 != c_Groups_Ozero__class_Ozero(_u7018)) | ( c_Groups_Ozero__class_Ozero(_u7018) = _u7019) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_min__max_Oinf_Oidem ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_min__max_Oinf_Oidem-1, axiom, ( ~class_Orderings_Olinorder(_u7020) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7020), _u7021), _u7021) = _u7021) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_min__max_Oinf_Ocommute ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_min__max_Oinf_Ocommute-1, axiom, ( ~class_Orderings_Olinorder(_u7022) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7022), _u7023), _u7024) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7022), _u7024), _u7023)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_min__max_Oinf__commute ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_min__max_Oinf__commute-1, axiom, ( ~class_Orderings_Olinorder(_u7025) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7025), _u7026), _u7027) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7025), _u7027), _u7026)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_min__max_Oinf_Oleft__idem ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_min__max_Oinf_Oleft__idem-1, axiom, ( ~class_Orderings_Olinorder(_u7028) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7028), _u7029), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7028), _u7029), _u7030)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7028), _u7029), _u7030)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_min__max_Oinf__left__idem ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_min__max_Oinf__left__idem-1, axiom, ( ~class_Orderings_Olinorder(_u7031) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7031), _u7032), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7031), _u7032), _u7033)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7031), _u7032), _u7033)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_min__max_Oinf_Oleft__commute ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_min__max_Oinf_Oleft__commute-1, axiom, ( ~class_Orderings_Olinorder(_u7034) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7034), _u7035), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7034), _u7036), _u7037)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7034), _u7036), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7034), _u7035), _u7037))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_min__max_Oinf__left__commute ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_min__max_Oinf__left__commute-1, axiom, ( ~class_Orderings_Olinorder(_u7038) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7038), _u7039), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7038), _u7040), _u7041)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7038), _u7040), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7038), _u7039), _u7041))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_min__max_Oinf_Oassoc ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_min__max_Oinf_Oassoc-1, axiom, ( ~class_Orderings_Olinorder(_u7042) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7042), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7042), _u7043), _u7044)), _u7045) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7042), _u7043), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7042), _u7044), _u7045))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_min__max_Oinf__assoc ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_min__max_Oinf__assoc-1, axiom, ( ~class_Orderings_Olinorder(_u7046) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7046), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7046), _u7047), _u7048)), _u7049) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7046), _u7047), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7046), _u7048), _u7049))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_min__0L ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_min__0L-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7050) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_min__0R ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_min__0R-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u7051), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_Min_Oidem ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_Min_Oidem-1, axiom, ( ~class_Orderings_Olinorder(_u7052) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7052), _u7053), _u7053) = _u7053) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_min__le__iff__disj ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_min__le__iff__disj-1, axiom, ( ~class_Orderings_Olinorder(_u7054) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7054), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7054), _u7055), _u7056)), _u7057)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7054), _u7055), _u7057)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7054), _u7056), _u7057)) )).
% 39.89/40.06 cnf(fact_min__le__iff__disj-2, axiom, ( ~class_Orderings_Olinorder(_u7054) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7054), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7054), _u7055), _u7056)), _u7057)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7054), _u7055), _u7057)) )).
% 39.89/40.06 cnf(fact_min__le__iff__disj-3, axiom, ( ~class_Orderings_Olinorder(_u7054) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7054), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7054), _u7055), _u7056)), _u7057)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7054), _u7056), _u7057)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_min__max_Oinf__le1 ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_min__max_Oinf__le1-1, axiom, ( ~class_Orderings_Olinorder(_u7058) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7058), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7058), _u7059), _u7060)), _u7059)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_min__max_Oinf__le2 ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_min__max_Oinf__le2-1, axiom, ( ~class_Orderings_Olinorder(_u7061) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7061), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7061), _u7062), _u7063)), _u7063)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_min__max_Ole__iff__inf ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_min__max_Ole__iff__inf-1, axiom, ( ~class_Orderings_Olinorder(_u7064) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7064), _u7065), _u7066)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7064), _u7065), _u7066) = _u7065) )).
% 39.89/40.06 cnf(fact_min__max_Ole__iff__inf-2, axiom, ( ~class_Orderings_Olinorder(_u7064) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7064), _u7065), _u7066) != _u7065) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7064), _u7065), _u7066)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_min__max_Ole__inf__iff ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_min__max_Ole__inf__iff-1, axiom, ( ~class_Orderings_Olinorder(_u7067) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7067), _u7068), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7067), _u7069), _u7070))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7067), _u7068), _u7069)) )).
% 39.89/40.06 cnf(fact_min__max_Ole__inf__iff-2, axiom, ( ~class_Orderings_Olinorder(_u7067) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7067), _u7068), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7067), _u7069), _u7070))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7067), _u7068), _u7070)) )).
% 39.89/40.06 cnf(fact_min__max_Ole__inf__iff-3, axiom, ( ~class_Orderings_Olinorder(_u7067) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7067), _u7068), _u7069)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7067), _u7068), _u7070)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7067), _u7068), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7067), _u7069), _u7070))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_min__max_Ole__infI1 ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_min__max_Ole__infI1-1, axiom, ( ~class_Orderings_Olinorder(_u7071) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7071), _u7072), _u7073)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7071), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7071), _u7072), _u7074)), _u7073)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_min__max_Ole__infI2 ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_min__max_Ole__infI2-1, axiom, ( ~class_Orderings_Olinorder(_u7075) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7075), _u7076), _u7077)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7075), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7075), _u7078), _u7076)), _u7077)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_min__max_Oinf__absorb1 ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_min__max_Oinf__absorb1-1, axiom, ( ~class_Orderings_Olinorder(_u7079) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7079), _u7080), _u7081)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7079), _u7080), _u7081) = _u7080) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_min__max_Oinf__absorb2 ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_min__max_Oinf__absorb2-1, axiom, ( ~class_Orderings_Olinorder(_u7082) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7082), _u7083), _u7084)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7082), _u7084), _u7083) = _u7083) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_min__max_Ole__infI ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_min__max_Ole__infI-1, axiom, ( ~class_Orderings_Olinorder(_u7085) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7085), _u7086), _u7087)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7085), _u7086), _u7088)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7085), _u7086), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7085), _u7087), _u7088))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_min__max_Oinf__greatest ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_min__max_Oinf__greatest-1, axiom, ( ~class_Orderings_Olinorder(_u7089) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7089), _u7090), _u7091)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7089), _u7090), _u7092)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7089), _u7090), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7089), _u7091), _u7092))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_min__max_Oinf__mono ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_min__max_Oinf__mono-1, axiom, ( ~class_Orderings_Olinorder(_u7093) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7093), _u7094), _u7095)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7093), _u7096), _u7097)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7093), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7093), _u7094), _u7096)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7093), _u7095), _u7097))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_min__max_Ole__infE ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_min__max_Ole__infE-1, axiom, ( ~class_Orderings_Olinorder(_u7098) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7098), _u7099), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7098), _u7100), _u7101))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7098), _u7099), _u7100)) )).
% 39.89/40.06 cnf(fact_min__max_Ole__infE-2, axiom, ( ~class_Orderings_Olinorder(_u7098) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7098), _u7099), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7098), _u7100), _u7101))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7098), _u7099), _u7101)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_min__max_Oless__infI1 ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_min__max_Oless__infI1-1, axiom, ( ~class_Orderings_Olinorder(_u7102) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7102), _u7103), _u7104)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7102), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7102), _u7103), _u7105)), _u7104)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_min__max_Oless__infI2 ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_min__max_Oless__infI2-1, axiom, ( ~class_Orderings_Olinorder(_u7106) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7106), _u7107), _u7108)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7106), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7106), _u7109), _u7107)), _u7108)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_min__less__iff__conj ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_min__less__iff__conj-1, axiom, ( ~class_Orderings_Olinorder(_u7110) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7110), _u7111), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7110), _u7112), _u7113))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7110), _u7111), _u7112)) )).
% 39.89/40.06 cnf(fact_min__less__iff__conj-2, axiom, ( ~class_Orderings_Olinorder(_u7110) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7110), _u7111), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7110), _u7112), _u7113))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7110), _u7111), _u7113)) )).
% 39.89/40.06 cnf(fact_min__less__iff__conj-3, axiom, ( ~class_Orderings_Olinorder(_u7110) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7110), _u7111), _u7112)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7110), _u7111), _u7113)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7110), _u7111), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7110), _u7112), _u7113))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_min__less__iff__disj ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_min__less__iff__disj-1, axiom, ( ~class_Orderings_Olinorder(_u7114) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7114), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7114), _u7115), _u7116)), _u7117)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7114), _u7115), _u7117)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7114), _u7116), _u7117)) )).
% 39.89/40.06 cnf(fact_min__less__iff__disj-2, axiom, ( ~class_Orderings_Olinorder(_u7114) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7114), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7114), _u7115), _u7116)), _u7117)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7114), _u7115), _u7117)) )).
% 39.89/40.06 cnf(fact_min__less__iff__disj-3, axiom, ( ~class_Orderings_Olinorder(_u7114) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7114), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7114), _u7115), _u7116)), _u7117)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7114), _u7116), _u7117)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_min__add__distrib__left ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_min__add__distrib__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u7118) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7118), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7118), _u7119), _u7120)), _u7121) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7118), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7118), _u7119), _u7121)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7118), _u7120), _u7121))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_min__diff__distrib__left ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_min__diff__distrib__left-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u7122) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7122), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7122), _u7123), _u7124)), _u7125) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7122), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7122), _u7123), _u7125)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7122), _u7124), _u7125))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_inf__min ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_inf__min-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u7126) | ~class_Orderings_Olinorder(_u7126) | ( c_Lattices_Osemilattice__inf__class_Oinf(_u7126) = c_Orderings_Oord__class_Omin(_u7126)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_min__Suc__Suc ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_min__Suc__Suc-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7127)), hAPP(c_Nat_OSuc, _u7128)) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u7127), _u7128))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_min__diff ( axiom ) converted to clauses:
% 39.89/40.06 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), _u7129), _u7130)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7131), _u7130)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u7129), _u7131)), _u7130)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_add__0__left ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_add__0__left-1, axiom, ( ~class_Groups_Omonoid__add(_u7132) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7132), c_Groups_Ozero__class_Ozero(_u7132)), _u7133) = _u7133) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_add__0 ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_add__0-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7134) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7134), c_Groups_Ozero__class_Ozero(_u7134)), _u7135) = _u7135) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_double__zero__sym ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_double__zero__sym-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u7136) | ( c_Groups_Ozero__class_Ozero(_u7136) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7136), _u7137), _u7137)) | ( _u7137 = c_Groups_Ozero__class_Ozero(_u7136)) )).
% 39.89/40.06 cnf(fact_double__zero__sym-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u7136) | ( _u7137 != c_Groups_Ozero__class_Ozero(_u7136)) | ( c_Groups_Ozero__class_Ozero(_u7136) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7136), _u7137), _u7137)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_add__0__right ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_add__0__right-1, axiom, ( ~class_Groups_Omonoid__add(_u7138) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7138), _u7139), c_Groups_Ozero__class_Ozero(_u7138)) = _u7139) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_add_Ocomm__neutral ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_add_Ocomm__neutral-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7140) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7140), _u7141), c_Groups_Ozero__class_Ozero(_u7140)) = _u7141) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u7142) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7142), c_Groups_Ozero__class_Ozero(_u7142)), _u7143) = _u7143) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u7144) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7144), _u7145), c_Groups_Ozero__class_Ozero(_u7144)) = _u7145) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_add__0__iff ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_add__0__iff-1, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u7146) | ( _u7147 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7146), _u7147), _u7148)) | ( _u7148 = c_Groups_Ozero__class_Ozero(_u7146)) )).
% 39.89/40.06 cnf(fact_add__0__iff-2, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u7146) | ( _u7148 != c_Groups_Ozero__class_Ozero(_u7146)) | ( _u7147 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7146), _u7147), _u7148)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u7149) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7149), c_Groups_Ozero__class_Ozero(_u7149)), _u7150) = c_Groups_Ozero__class_Ozero(_u7149)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u7151) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7151), _u7152), c_Groups_Ozero__class_Ozero(_u7151)) = c_Groups_Ozero__class_Ozero(_u7151)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_divisors__zero ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_divisors__zero-1, axiom, ( ~class_Rings_Ono__zero__divisors(_u7153) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7153), _u7154), _u7155) != c_Groups_Ozero__class_Ozero(_u7153)) | ( _u7154 = c_Groups_Ozero__class_Ozero(_u7153)) | ( _u7155 = c_Groups_Ozero__class_Ozero(_u7153)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_no__zero__divisors ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_no__zero__divisors-1, axiom, ( ~class_Rings_Ono__zero__divisors(_u7156) | ( _u7157 = c_Groups_Ozero__class_Ozero(_u7156)) | ( _u7158 = c_Groups_Ozero__class_Ozero(_u7156)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7156), _u7157), _u7158) != c_Groups_Ozero__class_Ozero(_u7156)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_mult__eq__0__iff ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_mult__eq__0__iff-1, axiom, ( ~class_Rings_Oring__no__zero__divisors(_u7159) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7159), _u7160), _u7161) != c_Groups_Ozero__class_Ozero(_u7159)) | ( _u7160 = c_Groups_Ozero__class_Ozero(_u7159)) | ( _u7161 = c_Groups_Ozero__class_Ozero(_u7159)) )).
% 39.89/40.06 cnf(fact_mult__eq__0__iff-2, axiom, ( ~class_Rings_Oring__no__zero__divisors(_u7159) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7159), _u7160), _u7161) = c_Groups_Ozero__class_Ozero(_u7159)) | ( _u7160 != c_Groups_Ozero__class_Ozero(_u7159)) )).
% 39.89/40.06 cnf(fact_mult__eq__0__iff-3, axiom, ( ~class_Rings_Oring__no__zero__divisors(_u7159) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7159), _u7160), _u7161) = c_Groups_Ozero__class_Ozero(_u7159)) | ( _u7161 != c_Groups_Ozero__class_Ozero(_u7159)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_mult__zero__right ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_mult__zero__right-1, axiom, ( ~class_Rings_Omult__zero(_u7162) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7162), _u7163), c_Groups_Ozero__class_Ozero(_u7162)) = c_Groups_Ozero__class_Ozero(_u7162)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_mult__zero__left ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_mult__zero__left-1, axiom, ( ~class_Rings_Omult__zero(_u7164) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7164), c_Groups_Ozero__class_Ozero(_u7164)), _u7165) = c_Groups_Ozero__class_Ozero(_u7164)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_right__minus__eq ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_right__minus__eq-1, axiom, ( ~class_Groups_Ogroup__add(_u7166) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7166), _u7167), _u7168) != c_Groups_Ozero__class_Ozero(_u7166)) | ( _u7167 = _u7168) )).
% 39.89/40.06 cnf(fact_right__minus__eq-2, axiom, ( ~class_Groups_Ogroup__add(_u7166) | ( _u7167 != _u7168) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7166), _u7167), _u7168) = c_Groups_Ozero__class_Ozero(_u7166)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_eq__iff__diff__eq__0 ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_eq__iff__diff__eq__0-1, axiom, ( ~class_Groups_Oab__group__add(_u7169) | ( _u7170 != _u7171) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7169), _u7170), _u7171) = c_Groups_Ozero__class_Ozero(_u7169)) )).
% 39.89/40.06 cnf(fact_eq__iff__diff__eq__0-2, axiom, ( ~class_Groups_Oab__group__add(_u7169) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7169), _u7170), _u7171) != c_Groups_Ozero__class_Ozero(_u7169)) | ( _u7170 = _u7171) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_diff__self ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_diff__self-1, axiom, ( ~class_Groups_Ogroup__add(_u7172) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7172), _u7173), _u7173) = c_Groups_Ozero__class_Ozero(_u7172)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_diff__0__right ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_diff__0__right-1, axiom, ( ~class_Groups_Ogroup__add(_u7174) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7174), _u7175), c_Groups_Ozero__class_Ozero(_u7174)) = _u7175) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_one__neq__zero ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_one__neq__zero-1, axiom, ( ~class_Rings_Ozero__neq__one(_u7176) | ( c_Groups_Oone__class_Oone(_u7176) != c_Groups_Ozero__class_Ozero(_u7176)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_zero__neq__one ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_zero__neq__one-1, axiom, ( ~class_Rings_Ozero__neq__one(_u7177) | ( c_Groups_Ozero__class_Ozero(_u7177) != c_Groups_Oone__class_Oone(_u7177)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_min__of__mono ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_min__of__mono-1, axiom, ( ~class_Orderings_Olinorder(_u7178) | ~class_Orderings_Olinorder(_u7179) | ~c_Orderings_Oorder__class_Omono(_u7179, _u7178, _u7180) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7178), hAPP(_u7180, _u7181)), hAPP(_u7180, _u7182)) = hAPP(_u7180, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7179), _u7181), _u7182))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_minus__zero ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_minus__zero-1, axiom, ( ~class_Groups_Ogroup__add(_u7183) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u7183), c_Groups_Ozero__class_Ozero(_u7183)) = c_Groups_Ozero__class_Ozero(_u7183)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_neg__0__equal__iff__equal ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_neg__0__equal__iff__equal-1, axiom, ( ~class_Groups_Ogroup__add(_u7184) | ( c_Groups_Ozero__class_Ozero(_u7184) != hAPP(c_Groups_Ouminus__class_Ouminus(_u7184), _u7185)) | ( c_Groups_Ozero__class_Ozero(_u7184) = _u7185) )).
% 39.89/40.06 cnf(fact_neg__0__equal__iff__equal-2, axiom, ( ~class_Groups_Ogroup__add(_u7184) | ( c_Groups_Ozero__class_Ozero(_u7184) != _u7185) | ( c_Groups_Ozero__class_Ozero(_u7184) = hAPP(c_Groups_Ouminus__class_Ouminus(_u7184), _u7185)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_equal__neg__zero ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_equal__neg__zero-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u7186) | ( _u7187 != hAPP(c_Groups_Ouminus__class_Ouminus(_u7186), _u7187)) | ( _u7187 = c_Groups_Ozero__class_Ozero(_u7186)) )).
% 39.89/40.06 cnf(fact_equal__neg__zero-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u7186) | ( _u7187 != c_Groups_Ozero__class_Ozero(_u7186)) | ( _u7187 = hAPP(c_Groups_Ouminus__class_Ouminus(_u7186), _u7187)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_neg__equal__0__iff__equal ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_neg__equal__0__iff__equal-1, axiom, ( ~class_Groups_Ogroup__add(_u7188) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u7188), _u7189) != c_Groups_Ozero__class_Ozero(_u7188)) | ( _u7189 = c_Groups_Ozero__class_Ozero(_u7188)) )).
% 39.89/40.06 cnf(fact_neg__equal__0__iff__equal-2, axiom, ( ~class_Groups_Ogroup__add(_u7188) | ( _u7189 != c_Groups_Ozero__class_Ozero(_u7188)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u7188), _u7189) = c_Groups_Ozero__class_Ozero(_u7188)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_neg__equal__zero ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_neg__equal__zero-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u7190) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u7190), _u7191) != _u7191) | ( _u7191 = c_Groups_Ozero__class_Ozero(_u7190)) )).
% 39.89/40.06 cnf(fact_neg__equal__zero-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u7190) | ( _u7191 != c_Groups_Ozero__class_Ozero(_u7190)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u7190), _u7191) = _u7191) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_Zero__not__Suc ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_Zero__not__Suc-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc, _u7192)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_nat_Osimps_I2_J ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_nat_Osimps_I2_J-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc, _u7193)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_Suc__not__Zero ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_Suc__not__Zero-1, axiom, ( ( hAPP(c_Nat_OSuc, _u7194) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_nat_Osimps_I3_J ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_nat_Osimps_I3_J-1, axiom, ( ( hAPP(c_Nat_OSuc, _u7195) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_Zero__neq__Suc ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_Zero__neq__Suc-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc, _u7196)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_Suc__neq__Zero ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_Suc__neq__Zero-1, axiom, ( ( hAPP(c_Nat_OSuc, _u7197) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_not__less0 ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_not__less0-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7198), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_neq0__conv ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_neq0__conv-1, axiom, ( ( _u7200 = 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)), _u7200)) )).
% 39.89/40.06 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)), _u7201)) | ( _u7201 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_less__nat__zero__code ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_less__nat__zero__code-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7202), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_gr__implies__not0 ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_gr__implies__not0-1, axiom, ( ( _u7204 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7203), _u7204)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_gr0I ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_gr0I-1, axiom, ( ( _u7205 = 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)), _u7205)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_add__eq__self__zero ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_add__eq__self__zero-1, axiom, ( ( _u7207 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7206), _u7207) != _u7206) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_add__is__0 ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_add__is__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7210), _u7212) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u7210 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.06 cnf(fact_add__is__0-2, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7210), _u7212) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u7212 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.06 cnf(fact_add__is__0-3, axiom, ( ( _u7211 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u7213 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7211), _u7213) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_Nat_Oadd__0__right ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_Nat_Oadd__0__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7214), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u7214) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_plus__nat_Oadd__0 ( axiom ) converted to clauses:
% 39.89/40.06 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)), _u7215) = _u7215) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_less__eq__nat_Osimps_I1_J ( axiom ) converted to clauses:
% 39.89/40.06 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)), _u7216)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_le__0__eq ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_le__0__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7218), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u7218 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.06 cnf(fact_le__0__eq-2, axiom, ( ( _u7219 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7219), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_diff__0__eq__0 ( axiom ) converted to clauses:
% 39.89/40.06 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)), _u7220) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_minus__nat_Odiff__0 ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_minus__nat_Odiff__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7221), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u7221) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_diff__self__eq__0 ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_diff__self__eq__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7222), _u7222) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_diffs0__imp__equal ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_diffs0__imp__equal-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7223), _u7224) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7224), _u7223) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u7223 = _u7224) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_nat__mult__eq__cancel__disj ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_nat__mult__eq__cancel__disj-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7228), _u7230) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7228), _u7232)) | ( _u7228 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u7230 = _u7232) )).
% 39.89/40.06 cnf(fact_nat__mult__eq__cancel__disj-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7229), _u7231) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7229), _u7233)) | ( _u7229 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.06 cnf(fact_nat__mult__eq__cancel__disj-3, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7229), _u7231) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7229), _u7233)) | ( _u7231 != _u7233) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_mult__cancel2 ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_mult__cancel2-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7237), _u7239) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7241), _u7239)) | ( _u7237 = _u7241) | ( _u7239 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.06 cnf(fact_mult__cancel2-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7238), _u7240) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7242), _u7240)) | ( _u7238 != _u7242) )).
% 39.89/40.06 cnf(fact_mult__cancel2-3, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7238), _u7240) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7242), _u7240)) | ( _u7240 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_mult__cancel1 ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_mult__cancel1-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7246), _u7248) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7246), _u7250)) | ( _u7248 = _u7250) | ( _u7246 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.06 cnf(fact_mult__cancel1-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7247), _u7249) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7247), _u7251)) | ( _u7249 != _u7251) )).
% 39.89/40.06 cnf(fact_mult__cancel1-3, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7247), _u7249) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7247), _u7251)) | ( _u7247 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_mult__is__0 ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_mult__is__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7254), _u7256) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u7254 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u7256 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.06 cnf(fact_mult__is__0-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7255), _u7257) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u7255 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.06 cnf(fact_mult__is__0-3, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7255), _u7257) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u7257 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_mult__0__right ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_mult__0__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7258), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_mult__0 ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_mult__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7259) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_fold__graph_Oequations_I1_J ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_fold__graph_Oequations_I1_J-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u7260, _u7261, _u7262, _u7263, c_Orderings_Obot__class_Obot(tc_fun(_u7260, tc_HOL_Obool))), _u7263)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_fold__graph_OemptyI ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_fold__graph_OemptyI-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u7264, _u7265, _u7266, _u7267, c_Orderings_Obot__class_Obot(tc_fun(_u7264, tc_HOL_Obool))), _u7267)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_empty__fold__graphE ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_empty__fold__graphE-1, axiom, ( ( _u7272 = _u7271) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u7268, _u7269, _u7270, _u7271, c_Orderings_Obot__class_Obot(tc_fun(_u7268, tc_HOL_Obool))), _u7272)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_fold__graph__imp__finite ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_fold__graph__imp__finite-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u7273, _u7274, _u7275, _u7276, _u7277), _u7278)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7273), _u7277)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_min__max_Ofun__left__comm__idem__inf ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_min__max_Ofun__left__comm__idem__inf-1, axiom, ( ~class_Orderings_Olinorder(_u7279) | c_Finite__Set_Ofun__left__comm__idem(_u7279, _u7279, c_Orderings_Oord__class_Omin(_u7279)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_setsum__0 ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_setsum__0-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7280) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7281, _u7280), hAPP(c_COMBK(_u7280, _u7281), c_Groups_Ozero__class_Ozero(_u7280))), _u7282) = c_Groups_Ozero__class_Ozero(_u7280)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_Least__Suc ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_Least__Suc-1, axiom, ( ~hBOOL(hAPP(_u7283, _u7284)) | hBOOL(hAPP(_u7283, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( c_Orderings_Oord__class_OLeast(tc_Nat_Onat, _u7283) = hAPP(c_Nat_OSuc, c_Orderings_Oord__class_OLeast(tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_Nat_Onat), _u7283), c_Nat_OSuc)))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_zero__le__double__add__iff__zero__le__single__add ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_zero__le__double__add__iff__zero__le__single__add-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u7285) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7285), c_Groups_Ozero__class_Ozero(_u7285)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7285), _u7286), _u7286))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7285), c_Groups_Ozero__class_Ozero(_u7285)), _u7286)) )).
% 39.89/40.06 cnf(fact_zero__le__double__add__iff__zero__le__single__add-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u7285) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7285), c_Groups_Ozero__class_Ozero(_u7285)), _u7286)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7285), c_Groups_Ozero__class_Ozero(_u7285)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7285), _u7286), _u7286))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_double__add__le__zero__iff__single__add__le__zero ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_double__add__le__zero__iff__single__add__le__zero-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u7287) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7287), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7287), _u7288), _u7288)), c_Groups_Ozero__class_Ozero(_u7287))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7287), _u7288), c_Groups_Ozero__class_Ozero(_u7287))) )).
% 39.89/40.06 cnf(fact_double__add__le__zero__iff__single__add__le__zero-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u7287) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7287), _u7288), c_Groups_Ozero__class_Ozero(_u7287))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7287), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7287), _u7288), _u7288)), c_Groups_Ozero__class_Ozero(_u7287))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_add__nonneg__nonneg ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_add__nonneg__nonneg-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u7289) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7289), c_Groups_Ozero__class_Ozero(_u7289)), _u7290)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7289), c_Groups_Ozero__class_Ozero(_u7289)), _u7291)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7289), c_Groups_Ozero__class_Ozero(_u7289)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7289), _u7290), _u7291))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_add__nonneg__eq__0__iff ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_add__nonneg__eq__0__iff-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u7292) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7292), c_Groups_Ozero__class_Ozero(_u7292)), _u7293)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7292), c_Groups_Ozero__class_Ozero(_u7292)), _u7294)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7292), _u7293), _u7294) != c_Groups_Ozero__class_Ozero(_u7292)) | ( _u7293 = c_Groups_Ozero__class_Ozero(_u7292)) )).
% 39.89/40.06 cnf(fact_add__nonneg__eq__0__iff-2, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u7292) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7292), c_Groups_Ozero__class_Ozero(_u7292)), _u7293)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7292), c_Groups_Ozero__class_Ozero(_u7292)), _u7294)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7292), _u7293), _u7294) != c_Groups_Ozero__class_Ozero(_u7292)) | ( _u7294 = c_Groups_Ozero__class_Ozero(_u7292)) )).
% 39.89/40.06 cnf(fact_add__nonneg__eq__0__iff-3, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u7292) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7292), c_Groups_Ozero__class_Ozero(_u7292)), _u7293)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7292), c_Groups_Ozero__class_Ozero(_u7292)), _u7294)) | ( _u7293 != c_Groups_Ozero__class_Ozero(_u7292)) | ( _u7294 != c_Groups_Ozero__class_Ozero(_u7292)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7292), _u7293), _u7294) = c_Groups_Ozero__class_Ozero(_u7292)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_add__increasing ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_add__increasing-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u7295) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7295), c_Groups_Ozero__class_Ozero(_u7295)), _u7296)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7295), _u7297), _u7298)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7295), _u7297), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7295), _u7296), _u7298))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_add__increasing2 ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_add__increasing2-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u7299) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7299), c_Groups_Ozero__class_Ozero(_u7299)), _u7300)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7299), _u7301), _u7302)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7299), _u7301), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7299), _u7302), _u7300))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_add__nonpos__nonpos ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_add__nonpos__nonpos-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u7303) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7303), _u7304), c_Groups_Ozero__class_Ozero(_u7303))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7303), _u7305), c_Groups_Ozero__class_Ozero(_u7303))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7303), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7303), _u7304), _u7305)), c_Groups_Ozero__class_Ozero(_u7303))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_split__mult__neg__le ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_split__mult__neg__le-1, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u7306) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7306), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7306), _u7307), _u7308)), c_Groups_Ozero__class_Ozero(_u7306))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7306), c_Groups_Ozero__class_Ozero(_u7306)), _u7307)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7306), _u7308), c_Groups_Ozero__class_Ozero(_u7306))) )).
% 39.89/40.06 cnf(fact_split__mult__neg__le-2, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u7306) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7306), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7306), _u7307), _u7308)), c_Groups_Ozero__class_Ozero(_u7306))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7306), _u7307), c_Groups_Ozero__class_Ozero(_u7306))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7306), c_Groups_Ozero__class_Ozero(_u7306)), _u7308)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_split__mult__pos__le ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_split__mult__pos__le-1, axiom, ( ~class_Rings_Oordered__ring(_u7309) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7309), c_Groups_Ozero__class_Ozero(_u7309)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7309), _u7310), _u7311))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7309), c_Groups_Ozero__class_Ozero(_u7309)), _u7310)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7309), c_Groups_Ozero__class_Ozero(_u7309)), _u7311)) )).
% 39.89/40.06 cnf(fact_split__mult__pos__le-2, axiom, ( ~class_Rings_Oordered__ring(_u7309) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7309), c_Groups_Ozero__class_Ozero(_u7309)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7309), _u7310), _u7311))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7309), _u7310), c_Groups_Ozero__class_Ozero(_u7309))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7309), _u7311), c_Groups_Ozero__class_Ozero(_u7309))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_mult__mono ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_mult__mono-1, axiom, ( ~class_Rings_Oordered__semiring(_u7312) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7312), _u7313), _u7314)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7312), _u7315), _u7316)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7312), c_Groups_Ozero__class_Ozero(_u7312)), _u7314)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7312), c_Groups_Ozero__class_Ozero(_u7312)), _u7315)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7312), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7312), _u7313), _u7315)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7312), _u7314), _u7316))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_mult__mono_H ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_mult__mono_H-1, axiom, ( ~class_Rings_Oordered__semiring(_u7317) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7317), _u7318), _u7319)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7317), _u7320), _u7321)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7317), c_Groups_Ozero__class_Ozero(_u7317)), _u7318)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7317), c_Groups_Ozero__class_Ozero(_u7317)), _u7320)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7317), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7317), _u7318), _u7320)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7317), _u7319), _u7321))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_mult__left__mono__neg ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_mult__left__mono__neg-1, axiom, ( ~class_Rings_Oordered__ring(_u7322) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7322), _u7323), _u7324)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7322), _u7325), c_Groups_Ozero__class_Ozero(_u7322))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7322), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7322), _u7325), _u7324)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7322), _u7325), _u7323))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_mult__right__mono__neg ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_mult__right__mono__neg-1, axiom, ( ~class_Rings_Oordered__ring(_u7326) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7326), _u7327), _u7328)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7326), _u7329), c_Groups_Ozero__class_Ozero(_u7326))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7326), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7326), _u7328), _u7329)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7326), _u7327), _u7329))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_comm__mult__left__mono ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_comm__mult__left__mono-1, axiom, ( ~class_Rings_Oordered__comm__semiring(_u7330) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7330), _u7331), _u7332)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7330), c_Groups_Ozero__class_Ozero(_u7330)), _u7333)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7330), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7330), _u7333), _u7331)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7330), _u7333), _u7332))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_mult__left__mono ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_mult__left__mono-1, axiom, ( ~class_Rings_Oordered__semiring(_u7334) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7334), _u7335), _u7336)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7334), c_Groups_Ozero__class_Ozero(_u7334)), _u7337)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7334), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7334), _u7337), _u7335)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7334), _u7337), _u7336))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_mult__right__mono ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_mult__right__mono-1, axiom, ( ~class_Rings_Oordered__semiring(_u7338) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7338), _u7339), _u7340)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7338), c_Groups_Ozero__class_Ozero(_u7338)), _u7341)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7338), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7338), _u7339), _u7341)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7338), _u7340), _u7341))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_mult__nonpos__nonpos ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_mult__nonpos__nonpos-1, axiom, ( ~class_Rings_Oordered__ring(_u7342) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7342), _u7343), c_Groups_Ozero__class_Ozero(_u7342))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7342), _u7344), c_Groups_Ozero__class_Ozero(_u7342))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7342), c_Groups_Ozero__class_Ozero(_u7342)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7342), _u7343), _u7344))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_mult__nonpos__nonneg ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_mult__nonpos__nonneg-1, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u7345) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7345), _u7346), c_Groups_Ozero__class_Ozero(_u7345))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7345), c_Groups_Ozero__class_Ozero(_u7345)), _u7347)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7345), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7345), _u7346), _u7347)), c_Groups_Ozero__class_Ozero(_u7345))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_mult__nonneg__nonpos2 ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_mult__nonneg__nonpos2-1, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u7348) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7348), c_Groups_Ozero__class_Ozero(_u7348)), _u7349)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7348), _u7350), c_Groups_Ozero__class_Ozero(_u7348))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7348), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7348), _u7350), _u7349)), c_Groups_Ozero__class_Ozero(_u7348))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_mult__nonneg__nonpos ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_mult__nonneg__nonpos-1, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u7351) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7351), c_Groups_Ozero__class_Ozero(_u7351)), _u7352)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7351), _u7353), c_Groups_Ozero__class_Ozero(_u7351))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7351), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7351), _u7352), _u7353)), c_Groups_Ozero__class_Ozero(_u7351))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_mult__nonneg__nonneg ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_mult__nonneg__nonneg-1, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u7354) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7354), c_Groups_Ozero__class_Ozero(_u7354)), _u7355)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7354), c_Groups_Ozero__class_Ozero(_u7354)), _u7356)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7354), c_Groups_Ozero__class_Ozero(_u7354)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7354), _u7355), _u7356))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_mult__le__0__iff ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_mult__le__0__iff-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u7357) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7357), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7357), _u7358), _u7359)), c_Groups_Ozero__class_Ozero(_u7357))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7357), c_Groups_Ozero__class_Ozero(_u7357)), _u7358)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7357), _u7358), c_Groups_Ozero__class_Ozero(_u7357))) )).
% 39.89/40.06 cnf(fact_mult__le__0__iff-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u7357) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7357), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7357), _u7358), _u7359)), c_Groups_Ozero__class_Ozero(_u7357))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7357), c_Groups_Ozero__class_Ozero(_u7357)), _u7358)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7357), c_Groups_Ozero__class_Ozero(_u7357)), _u7359)) )).
% 39.89/40.06 cnf(fact_mult__le__0__iff-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u7357) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7357), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7357), _u7358), _u7359)), c_Groups_Ozero__class_Ozero(_u7357))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7357), _u7359), c_Groups_Ozero__class_Ozero(_u7357))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7357), _u7358), c_Groups_Ozero__class_Ozero(_u7357))) )).
% 39.89/40.06 cnf(fact_mult__le__0__iff-4, axiom, ( ~class_Rings_Olinordered__ring__strict(_u7357) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7357), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7357), _u7358), _u7359)), c_Groups_Ozero__class_Ozero(_u7357))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7357), _u7359), c_Groups_Ozero__class_Ozero(_u7357))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7357), c_Groups_Ozero__class_Ozero(_u7357)), _u7359)) )).
% 39.89/40.06 cnf(fact_mult__le__0__iff-5, axiom, ( ~class_Rings_Olinordered__ring__strict(_u7357) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7357), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7357), _u7358), _u7359)), c_Groups_Ozero__class_Ozero(_u7357))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7357), c_Groups_Ozero__class_Ozero(_u7357)), _u7358)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7357), _u7359), c_Groups_Ozero__class_Ozero(_u7357))) )).
% 39.89/40.06 cnf(fact_mult__le__0__iff-6, axiom, ( ~class_Rings_Olinordered__ring__strict(_u7357) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7357), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7357), _u7358), _u7359)), c_Groups_Ozero__class_Ozero(_u7357))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7357), _u7358), c_Groups_Ozero__class_Ozero(_u7357))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7357), c_Groups_Ozero__class_Ozero(_u7357)), _u7359)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_zero__le__mult__iff ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_zero__le__mult__iff-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u7360) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7360), c_Groups_Ozero__class_Ozero(_u7360)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7360), _u7361), _u7362))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7360), c_Groups_Ozero__class_Ozero(_u7360)), _u7361)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7360), _u7361), c_Groups_Ozero__class_Ozero(_u7360))) )).
% 39.89/40.06 cnf(fact_zero__le__mult__iff-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u7360) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7360), c_Groups_Ozero__class_Ozero(_u7360)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7360), _u7361), _u7362))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7360), c_Groups_Ozero__class_Ozero(_u7360)), _u7361)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7360), _u7362), c_Groups_Ozero__class_Ozero(_u7360))) )).
% 39.89/40.06 cnf(fact_zero__le__mult__iff-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u7360) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7360), c_Groups_Ozero__class_Ozero(_u7360)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7360), _u7361), _u7362))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7360), c_Groups_Ozero__class_Ozero(_u7360)), _u7362)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7360), _u7361), c_Groups_Ozero__class_Ozero(_u7360))) )).
% 39.89/40.06 cnf(fact_zero__le__mult__iff-4, axiom, ( ~class_Rings_Olinordered__ring__strict(_u7360) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7360), c_Groups_Ozero__class_Ozero(_u7360)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7360), _u7361), _u7362))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7360), c_Groups_Ozero__class_Ozero(_u7360)), _u7362)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7360), _u7362), c_Groups_Ozero__class_Ozero(_u7360))) )).
% 39.89/40.06 cnf(fact_zero__le__mult__iff-5, axiom, ( ~class_Rings_Olinordered__ring__strict(_u7360) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7360), c_Groups_Ozero__class_Ozero(_u7360)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7360), _u7361), _u7362))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7360), c_Groups_Ozero__class_Ozero(_u7360)), _u7361)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7360), c_Groups_Ozero__class_Ozero(_u7360)), _u7362)) )).
% 39.89/40.06 cnf(fact_zero__le__mult__iff-6, axiom, ( ~class_Rings_Olinordered__ring__strict(_u7360) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7360), c_Groups_Ozero__class_Ozero(_u7360)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7360), _u7361), _u7362))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7360), _u7361), c_Groups_Ozero__class_Ozero(_u7360))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7360), _u7362), c_Groups_Ozero__class_Ozero(_u7360))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_zero__le__square ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_zero__le__square-1, axiom, ( ~class_Rings_Olinordered__ring(_u7363) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7363), c_Groups_Ozero__class_Ozero(_u7363)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7363), _u7364), _u7364))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_pos__add__strict ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_pos__add__strict-1, axiom, ( ~class_Rings_Olinordered__semidom(_u7365) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7365), c_Groups_Ozero__class_Ozero(_u7365)), _u7366)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7365), _u7367), _u7368)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7365), _u7367), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7365), _u7366), _u7368))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_zero__less__double__add__iff__zero__less__single__add ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_zero__less__double__add__iff__zero__less__single__add-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u7369) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7369), c_Groups_Ozero__class_Ozero(_u7369)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7369), _u7370), _u7370))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7369), c_Groups_Ozero__class_Ozero(_u7369)), _u7370)) )).
% 39.89/40.06 cnf(fact_zero__less__double__add__iff__zero__less__single__add-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u7369) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7369), c_Groups_Ozero__class_Ozero(_u7369)), _u7370)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7369), c_Groups_Ozero__class_Ozero(_u7369)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7369), _u7370), _u7370))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_double__add__less__zero__iff__single__add__less__zero ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_double__add__less__zero__iff__single__add__less__zero-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u7371) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7371), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7371), _u7372), _u7372)), c_Groups_Ozero__class_Ozero(_u7371))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7371), _u7372), c_Groups_Ozero__class_Ozero(_u7371))) )).
% 39.89/40.06 cnf(fact_double__add__less__zero__iff__single__add__less__zero-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u7371) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7371), _u7372), c_Groups_Ozero__class_Ozero(_u7371))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7371), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7371), _u7372), _u7372)), c_Groups_Ozero__class_Ozero(_u7371))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_add__pos__pos ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_add__pos__pos-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u7373) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7373), c_Groups_Ozero__class_Ozero(_u7373)), _u7374)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7373), c_Groups_Ozero__class_Ozero(_u7373)), _u7375)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7373), c_Groups_Ozero__class_Ozero(_u7373)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7373), _u7374), _u7375))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_add__neg__neg ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_add__neg__neg-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u7376) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7376), _u7377), c_Groups_Ozero__class_Ozero(_u7376))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7376), _u7378), c_Groups_Ozero__class_Ozero(_u7376))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7376), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7376), _u7377), _u7378)), c_Groups_Ozero__class_Ozero(_u7376))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_not__square__less__zero ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_not__square__less__zero-1, axiom, ( ~class_Rings_Olinordered__ring(_u7379) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7379), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7379), _u7380), _u7380)), c_Groups_Ozero__class_Ozero(_u7379))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_mult__less__cancel__right__disj ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_mult__less__cancel__right__disj-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u7381) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7381), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7381), _u7382), _u7383)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7381), _u7384), _u7383))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7381), c_Groups_Ozero__class_Ozero(_u7381)), _u7383)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7381), _u7383), c_Groups_Ozero__class_Ozero(_u7381))) )).
% 39.89/40.06 cnf(fact_mult__less__cancel__right__disj-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u7381) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7381), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7381), _u7382), _u7383)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7381), _u7384), _u7383))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7381), c_Groups_Ozero__class_Ozero(_u7381)), _u7383)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7381), _u7384), _u7382)) )).
% 39.89/40.06 cnf(fact_mult__less__cancel__right__disj-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u7381) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7381), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7381), _u7382), _u7383)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7381), _u7384), _u7383))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7381), _u7382), _u7384)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7381), _u7383), c_Groups_Ozero__class_Ozero(_u7381))) )).
% 39.89/40.06 cnf(fact_mult__less__cancel__right__disj-4, axiom, ( ~class_Rings_Olinordered__ring__strict(_u7381) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7381), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7381), _u7382), _u7383)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7381), _u7384), _u7383))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7381), _u7382), _u7384)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7381), _u7384), _u7382)) )).
% 39.89/40.06 cnf(fact_mult__less__cancel__right__disj-5, axiom, ( ~class_Rings_Olinordered__ring__strict(_u7381) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7381), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7381), _u7382), _u7383)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7381), _u7384), _u7383))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7381), c_Groups_Ozero__class_Ozero(_u7381)), _u7383)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7381), _u7382), _u7384)) )).
% 39.89/40.06 cnf(fact_mult__less__cancel__right__disj-6, axiom, ( ~class_Rings_Olinordered__ring__strict(_u7381) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7381), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7381), _u7382), _u7383)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7381), _u7384), _u7383))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7381), _u7383), c_Groups_Ozero__class_Ozero(_u7381))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7381), _u7384), _u7382)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_mult__less__cancel__left__disj ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_mult__less__cancel__left__disj-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u7385) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7385), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7385), _u7386), _u7387)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7385), _u7386), _u7388))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7385), c_Groups_Ozero__class_Ozero(_u7385)), _u7386)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7385), _u7386), c_Groups_Ozero__class_Ozero(_u7385))) )).
% 39.89/40.06 cnf(fact_mult__less__cancel__left__disj-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u7385) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7385), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7385), _u7386), _u7387)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7385), _u7386), _u7388))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7385), c_Groups_Ozero__class_Ozero(_u7385)), _u7386)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7385), _u7388), _u7387)) )).
% 39.89/40.06 cnf(fact_mult__less__cancel__left__disj-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u7385) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7385), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7385), _u7386), _u7387)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7385), _u7386), _u7388))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7385), _u7387), _u7388)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7385), _u7386), c_Groups_Ozero__class_Ozero(_u7385))) )).
% 39.89/40.06 cnf(fact_mult__less__cancel__left__disj-4, axiom, ( ~class_Rings_Olinordered__ring__strict(_u7385) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7385), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7385), _u7386), _u7387)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7385), _u7386), _u7388))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7385), _u7387), _u7388)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7385), _u7388), _u7387)) )).
% 39.89/40.06 cnf(fact_mult__less__cancel__left__disj-5, axiom, ( ~class_Rings_Olinordered__ring__strict(_u7385) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7385), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7385), _u7386), _u7387)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7385), _u7386), _u7388))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7385), c_Groups_Ozero__class_Ozero(_u7385)), _u7386)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7385), _u7387), _u7388)) )).
% 39.89/40.06 cnf(fact_mult__less__cancel__left__disj-6, axiom, ( ~class_Rings_Olinordered__ring__strict(_u7385) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7385), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7385), _u7386), _u7387)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7385), _u7386), _u7388))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7385), _u7386), c_Groups_Ozero__class_Ozero(_u7385))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7385), _u7388), _u7387)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_mult__less__cancel__left__pos ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_mult__less__cancel__left__pos-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u7389) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7389), c_Groups_Ozero__class_Ozero(_u7389)), _u7390)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7389), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7389), _u7390), _u7391)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7389), _u7390), _u7392))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7389), _u7391), _u7392)) )).
% 39.89/40.06 cnf(fact_mult__less__cancel__left__pos-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u7389) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7389), c_Groups_Ozero__class_Ozero(_u7389)), _u7390)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7389), _u7391), _u7392)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7389), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7389), _u7390), _u7391)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7389), _u7390), _u7392))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_mult__pos__pos ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_mult__pos__pos-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u7393) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7393), c_Groups_Ozero__class_Ozero(_u7393)), _u7394)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7393), c_Groups_Ozero__class_Ozero(_u7393)), _u7395)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7393), c_Groups_Ozero__class_Ozero(_u7393)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7393), _u7394), _u7395))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_mult__pos__neg ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_mult__pos__neg-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u7396) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7396), c_Groups_Ozero__class_Ozero(_u7396)), _u7397)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7396), _u7398), c_Groups_Ozero__class_Ozero(_u7396))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7396), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7396), _u7397), _u7398)), c_Groups_Ozero__class_Ozero(_u7396))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_mult__pos__neg2 ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_mult__pos__neg2-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u7399) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7399), c_Groups_Ozero__class_Ozero(_u7399)), _u7400)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7399), _u7401), c_Groups_Ozero__class_Ozero(_u7399))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7399), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7399), _u7401), _u7400)), c_Groups_Ozero__class_Ozero(_u7399))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_zero__less__mult__pos ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_zero__less__mult__pos-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u7402) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7402), c_Groups_Ozero__class_Ozero(_u7402)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7402), _u7403), _u7404))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7402), c_Groups_Ozero__class_Ozero(_u7402)), _u7403)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7402), c_Groups_Ozero__class_Ozero(_u7402)), _u7404)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_zero__less__mult__pos2 ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_zero__less__mult__pos2-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u7405) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7405), c_Groups_Ozero__class_Ozero(_u7405)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7405), _u7406), _u7407))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7405), c_Groups_Ozero__class_Ozero(_u7405)), _u7407)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7405), c_Groups_Ozero__class_Ozero(_u7405)), _u7406)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_mult__less__cancel__left__neg ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_mult__less__cancel__left__neg-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u7408) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7408), _u7409), c_Groups_Ozero__class_Ozero(_u7408))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7408), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7408), _u7409), _u7410)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7408), _u7409), _u7411))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7408), _u7411), _u7410)) )).
% 39.89/40.06 cnf(fact_mult__less__cancel__left__neg-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u7408) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7408), _u7409), c_Groups_Ozero__class_Ozero(_u7408))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7408), _u7411), _u7410)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7408), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7408), _u7409), _u7410)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7408), _u7409), _u7411))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_mult__neg__pos ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_mult__neg__pos-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u7412) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7412), _u7413), c_Groups_Ozero__class_Ozero(_u7412))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7412), c_Groups_Ozero__class_Ozero(_u7412)), _u7414)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7412), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7412), _u7413), _u7414)), c_Groups_Ozero__class_Ozero(_u7412))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_mult__neg__neg ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_mult__neg__neg-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u7415) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7415), _u7416), c_Groups_Ozero__class_Ozero(_u7415))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7415), _u7417), c_Groups_Ozero__class_Ozero(_u7415))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7415), c_Groups_Ozero__class_Ozero(_u7415)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7415), _u7416), _u7417))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_mult__strict__right__mono ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_mult__strict__right__mono-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u7418) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7418), _u7419), _u7420)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7418), c_Groups_Ozero__class_Ozero(_u7418)), _u7421)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7418), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7418), _u7419), _u7421)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7418), _u7420), _u7421))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_mult__strict__left__mono ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_mult__strict__left__mono-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u7422) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7422), _u7423), _u7424)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7422), c_Groups_Ozero__class_Ozero(_u7422)), _u7425)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7422), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7422), _u7425), _u7423)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7422), _u7425), _u7424))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_comm__mult__strict__left__mono ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_comm__mult__strict__left__mono-1, axiom, ( ~class_Rings_Olinordered__comm__semiring__strict(_u7426) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7426), _u7427), _u7428)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7426), c_Groups_Ozero__class_Ozero(_u7426)), _u7429)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7426), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7426), _u7429), _u7427)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7426), _u7429), _u7428))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_mult__strict__right__mono__neg ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_mult__strict__right__mono__neg-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u7430) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7430), _u7431), _u7432)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7430), _u7433), c_Groups_Ozero__class_Ozero(_u7430))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7430), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7430), _u7432), _u7433)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7430), _u7431), _u7433))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_mult__strict__left__mono__neg ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_mult__strict__left__mono__neg-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u7434) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7434), _u7435), _u7436)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7434), _u7437), c_Groups_Ozero__class_Ozero(_u7434))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7434), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7434), _u7437), _u7436)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7434), _u7437), _u7435))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_le__iff__diff__le__0 ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_le__iff__diff__le__0-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u7438) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7438), _u7439), _u7440)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7438), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7438), _u7439), _u7440)), c_Groups_Ozero__class_Ozero(_u7438))) )).
% 39.89/40.06 cnf(fact_le__iff__diff__le__0-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u7438) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7438), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7438), _u7439), _u7440)), c_Groups_Ozero__class_Ozero(_u7438))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7438), _u7439), _u7440)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_less__iff__diff__less__0 ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_less__iff__diff__less__0-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u7441) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7441), _u7442), _u7443)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7441), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7441), _u7442), _u7443)), c_Groups_Ozero__class_Ozero(_u7441))) )).
% 39.89/40.06 cnf(fact_less__iff__diff__less__0-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u7441) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7441), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7441), _u7442), _u7443)), c_Groups_Ozero__class_Ozero(_u7441))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7441), _u7442), _u7443)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_add__scale__eq__noteq ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_add__scale__eq__noteq-1, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u7444) | ( _u7445 = c_Groups_Ozero__class_Ozero(_u7444)) | ( _u7446 != _u7447) | ( _u7448 = _u7449) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7444), _u7446), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7444), _u7445), _u7448)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7444), _u7447), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7444), _u7445), _u7449))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_sum__squares__eq__zero__iff ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_sum__squares__eq__zero__iff-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u7450) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7450), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7450), _u7451), _u7451)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7450), _u7452), _u7452)) != c_Groups_Ozero__class_Ozero(_u7450)) | ( _u7451 = c_Groups_Ozero__class_Ozero(_u7450)) )).
% 39.89/40.06 cnf(fact_sum__squares__eq__zero__iff-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u7450) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7450), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7450), _u7451), _u7451)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7450), _u7452), _u7452)) != c_Groups_Ozero__class_Ozero(_u7450)) | ( _u7452 = c_Groups_Ozero__class_Ozero(_u7450)) )).
% 39.89/40.06 cnf(fact_sum__squares__eq__zero__iff-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u7450) | ( _u7451 != c_Groups_Ozero__class_Ozero(_u7450)) | ( _u7452 != c_Groups_Ozero__class_Ozero(_u7450)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7450), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7450), _u7451), _u7451)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7450), _u7452), _u7452)) = c_Groups_Ozero__class_Ozero(_u7450)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_zero__le__one ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_zero__le__one-1, axiom, ( ~class_Rings_Olinordered__semidom(_u7453) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7453), c_Groups_Ozero__class_Ozero(_u7453)), c_Groups_Oone__class_Oone(_u7453))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_not__one__le__zero ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_not__one__le__zero-1, axiom, ( ~class_Rings_Olinordered__semidom(_u7454) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7454), c_Groups_Oone__class_Oone(_u7454)), c_Groups_Ozero__class_Ozero(_u7454))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_not__one__less__zero ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_not__one__less__zero-1, axiom, ( ~class_Rings_Olinordered__semidom(_u7455) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7455), c_Groups_Oone__class_Oone(_u7455)), c_Groups_Ozero__class_Ozero(_u7455))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_zero__less__one ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_zero__less__one-1, axiom, ( ~class_Rings_Olinordered__semidom(_u7456) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7456), c_Groups_Ozero__class_Ozero(_u7456)), c_Groups_Oone__class_Oone(_u7456))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_neg__0__le__iff__le ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_neg__0__le__iff__le-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u7457) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7457), c_Groups_Ozero__class_Ozero(_u7457)), hAPP(c_Groups_Ouminus__class_Ouminus(_u7457), _u7458))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7457), _u7458), c_Groups_Ozero__class_Ozero(_u7457))) )).
% 39.89/40.06 cnf(fact_neg__0__le__iff__le-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u7457) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7457), _u7458), c_Groups_Ozero__class_Ozero(_u7457))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7457), c_Groups_Ozero__class_Ozero(_u7457)), hAPP(c_Groups_Ouminus__class_Ouminus(_u7457), _u7458))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_le__minus__self__iff ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_le__minus__self__iff-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u7459) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7459), _u7460), hAPP(c_Groups_Ouminus__class_Ouminus(_u7459), _u7460))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7459), _u7460), c_Groups_Ozero__class_Ozero(_u7459))) )).
% 39.89/40.06 cnf(fact_le__minus__self__iff-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u7459) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7459), _u7460), c_Groups_Ozero__class_Ozero(_u7459))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7459), _u7460), hAPP(c_Groups_Ouminus__class_Ouminus(_u7459), _u7460))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_neg__le__0__iff__le ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_neg__le__0__iff__le-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u7461) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7461), hAPP(c_Groups_Ouminus__class_Ouminus(_u7461), _u7462)), c_Groups_Ozero__class_Ozero(_u7461))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7461), c_Groups_Ozero__class_Ozero(_u7461)), _u7462)) )).
% 39.89/40.06 cnf(fact_neg__le__0__iff__le-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u7461) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7461), c_Groups_Ozero__class_Ozero(_u7461)), _u7462)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7461), hAPP(c_Groups_Ouminus__class_Ouminus(_u7461), _u7462)), c_Groups_Ozero__class_Ozero(_u7461))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_minus__le__self__iff ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_minus__le__self__iff-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u7463) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7463), hAPP(c_Groups_Ouminus__class_Ouminus(_u7463), _u7464)), _u7464)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7463), c_Groups_Ozero__class_Ozero(_u7463)), _u7464)) )).
% 39.89/40.06 cnf(fact_minus__le__self__iff-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u7463) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7463), c_Groups_Ozero__class_Ozero(_u7463)), _u7464)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7463), hAPP(c_Groups_Ouminus__class_Ouminus(_u7463), _u7464)), _u7464)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_less__minus__self__iff ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_less__minus__self__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u7465) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7465), _u7466), hAPP(c_Groups_Ouminus__class_Ouminus(_u7465), _u7466))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7465), _u7466), c_Groups_Ozero__class_Ozero(_u7465))) )).
% 39.89/40.06 cnf(fact_less__minus__self__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u7465) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7465), _u7466), c_Groups_Ozero__class_Ozero(_u7465))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7465), _u7466), hAPP(c_Groups_Ouminus__class_Ouminus(_u7465), _u7466))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_neg__0__less__iff__less ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_neg__0__less__iff__less-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u7467) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7467), c_Groups_Ozero__class_Ozero(_u7467)), hAPP(c_Groups_Ouminus__class_Ouminus(_u7467), _u7468))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7467), _u7468), c_Groups_Ozero__class_Ozero(_u7467))) )).
% 39.89/40.06 cnf(fact_neg__0__less__iff__less-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u7467) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7467), _u7468), c_Groups_Ozero__class_Ozero(_u7467))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7467), c_Groups_Ozero__class_Ozero(_u7467)), hAPP(c_Groups_Ouminus__class_Ouminus(_u7467), _u7468))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_neg__less__0__iff__less ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_neg__less__0__iff__less-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u7469) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7469), hAPP(c_Groups_Ouminus__class_Ouminus(_u7469), _u7470)), c_Groups_Ozero__class_Ozero(_u7469))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7469), c_Groups_Ozero__class_Ozero(_u7469)), _u7470)) )).
% 39.89/40.06 cnf(fact_neg__less__0__iff__less-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u7469) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7469), c_Groups_Ozero__class_Ozero(_u7469)), _u7470)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7469), hAPP(c_Groups_Ouminus__class_Ouminus(_u7469), _u7470)), c_Groups_Ozero__class_Ozero(_u7469))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_neg__less__nonneg ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_neg__less__nonneg-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u7471) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7471), hAPP(c_Groups_Ouminus__class_Ouminus(_u7471), _u7472)), _u7472)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7471), c_Groups_Ozero__class_Ozero(_u7471)), _u7472)) )).
% 39.89/40.06 cnf(fact_neg__less__nonneg-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u7471) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7471), c_Groups_Ozero__class_Ozero(_u7471)), _u7472)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7471), hAPP(c_Groups_Ouminus__class_Ouminus(_u7471), _u7472)), _u7472)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_right__minus ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_right__minus-1, axiom, ( ~class_Groups_Ogroup__add(_u7473) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7473), _u7474), hAPP(c_Groups_Ouminus__class_Ouminus(_u7473), _u7474)) = c_Groups_Ozero__class_Ozero(_u7473)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_eq__neg__iff__add__eq__0 ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_eq__neg__iff__add__eq__0-1, axiom, ( ~class_Groups_Ogroup__add(_u7475) | ( _u7476 != hAPP(c_Groups_Ouminus__class_Ouminus(_u7475), _u7477)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7475), _u7476), _u7477) = c_Groups_Ozero__class_Ozero(_u7475)) )).
% 39.89/40.06 cnf(fact_eq__neg__iff__add__eq__0-2, axiom, ( ~class_Groups_Ogroup__add(_u7475) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7475), _u7476), _u7477) != c_Groups_Ozero__class_Ozero(_u7475)) | ( _u7476 = hAPP(c_Groups_Ouminus__class_Ouminus(_u7475), _u7477)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_left__minus ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_left__minus-1, axiom, ( ~class_Groups_Ogroup__add(_u7478) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7478), hAPP(c_Groups_Ouminus__class_Ouminus(_u7478), _u7479)), _u7479) = c_Groups_Ozero__class_Ozero(_u7478)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_ab__left__minus ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_ab__left__minus-1, axiom, ( ~class_Groups_Oab__group__add(_u7480) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7480), hAPP(c_Groups_Ouminus__class_Ouminus(_u7480), _u7481)), _u7481) = c_Groups_Ozero__class_Ozero(_u7480)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_minus__unique ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_minus__unique-1, axiom, ( ~class_Groups_Ogroup__add(_u7482) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7482), _u7483), _u7484) != c_Groups_Ozero__class_Ozero(_u7482)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u7482), _u7483) = _u7484) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_diff__0 ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_diff__0-1, axiom, ( ~class_Groups_Ogroup__add(_u7485) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7485), c_Groups_Ozero__class_Ozero(_u7485)), _u7486) = hAPP(c_Groups_Ouminus__class_Ouminus(_u7485), _u7486)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_setsum__empty ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_setsum__empty-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7487) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7488, _u7487), _u7489), c_Orderings_Obot__class_Obot(tc_fun(_u7488, tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(_u7487)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_setsum_Oempty ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_setsum_Oempty-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7490) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7491, _u7490), _u7492), c_Orderings_Obot__class_Obot(tc_fun(_u7491, tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(_u7490)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_setsum_Oinfinite ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_setsum_Oinfinite-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7493) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7494), _u7495)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7494, _u7493), _u7496), _u7495) = c_Groups_Ozero__class_Ozero(_u7493)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_setsum__infinite ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_setsum__infinite-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7497) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7498), _u7499)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7498, _u7497), _u7500), _u7499) = c_Groups_Ozero__class_Ozero(_u7497)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_less__Suc__eq__0__disj ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_less__Suc__eq__0__disj-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7505), hAPP(c_Nat_OSuc, _u7507))) | ( _u7505 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u7505 = hAPP(c_Nat_OSuc, skolem132(_u7507, _u7505))) )).
% 39.89/40.06 cnf(fact_less__Suc__eq__0__disj-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7505), hAPP(c_Nat_OSuc, _u7507))) | ( _u7505 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem132(_u7507, _u7505)), _u7507)) )).
% 39.89/40.06 cnf(fact_less__Suc__eq__0__disj-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7506), hAPP(c_Nat_OSuc, _u7508))) | ( _u7506 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.06 cnf(fact_less__Suc__eq__0__disj-4, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7506), hAPP(c_Nat_OSuc, _u7508))) | ( _u7506 != hAPP(c_Nat_OSuc, _u7502)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7502), _u7508)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_less__Suc0 ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_less__Suc0-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7510), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) | ( _u7510 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.06 cnf(fact_less__Suc0-2, axiom, ( ( _u7511 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7511), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_gr0__conv__Suc ( axiom ) converted to clauses:
% 39.89/40.06 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)), _u7515)) | ( _u7515 = hAPP(c_Nat_OSuc, skolem133(_u7515))) )).
% 39.89/40.06 cnf(fact_gr0__conv__Suc-2, axiom, ( ( _u7516 != hAPP(c_Nat_OSuc, _u7513)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7516)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_one__is__add ( axiom ) converted to clauses:
% 39.89/40.06 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), _u7519), _u7521)) | ( _u7519 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u7519 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.06 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), _u7519), _u7521)) | ( _u7519 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u7521 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 39.89/40.06 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), _u7519), _u7521)) | ( _u7521 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u7519 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.06 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), _u7519), _u7521)) | ( _u7521 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u7521 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 39.89/40.06 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), _u7520), _u7522)) | ( _u7520 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u7522 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.06 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), _u7520), _u7522)) | ( _u7520 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u7522 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_add__is__1 ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_add__is__1-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7525), _u7527) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u7525 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u7525 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.06 cnf(fact_add__is__1-2, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7525), _u7527) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u7525 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u7527 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 39.89/40.06 cnf(fact_add__is__1-3, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7525), _u7527) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u7527 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u7525 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.06 cnf(fact_add__is__1-4, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7525), _u7527) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u7527 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u7527 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 39.89/40.06 cnf(fact_add__is__1-5, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7526), _u7528) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u7526 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u7528 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.06 cnf(fact_add__is__1-6, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7526), _u7528) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u7526 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u7528 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_add__gr__0 ( axiom ) converted to clauses:
% 39.89/40.06 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), _u7531), _u7533))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7531)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7533)) )).
% 39.89/40.06 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), _u7532), _u7534))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7532)) )).
% 39.89/40.06 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), _u7532), _u7534))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7534)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_card_Oempty ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_card_Oempty-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u7535), c_Orderings_Obot__class_Obot(tc_fun(_u7535, tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_card__infinite ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_card__infinite-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u7536), _u7537)) | ( hAPP(c_Finite__Set_Ocard(_u7536), _u7537) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_mult__eq__1__iff ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_mult__eq__1__iff-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7540), _u7542) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u7540 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 39.89/40.06 cnf(fact_mult__eq__1__iff-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7540), _u7542) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u7542 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 39.89/40.06 cnf(fact_mult__eq__1__iff-3, axiom, ( ( _u7541 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u7543 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7541), _u7543) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_zero__less__diff ( axiom ) converted to clauses:
% 39.89/40.06 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), _u7546), _u7548))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7548), _u7546)) )).
% 39.89/40.06 cnf(fact_zero__less__diff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7549), _u7547)) | 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), _u7547), _u7549))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_diff__less ( axiom ) converted to clauses:
% 39.89/40.06 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)), _u7550)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7551)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7551), _u7550)), _u7551)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_mult__less__mono2 ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_mult__less__mono2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7552), _u7553)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7554)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7554), _u7552)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7554), _u7553))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_mult__less__mono1 ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_mult__less__mono1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7555), _u7556)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7557)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7555), _u7557)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7556), _u7557))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_mult__less__cancel2 ( axiom ) converted to clauses:
% 39.89/40.06 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), _u7561), _u7563)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7565), _u7563))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7563)) )).
% 39.89/40.06 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), _u7561), _u7563)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7565), _u7563))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7561), _u7565)) )).
% 39.89/40.06 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)), _u7564)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7562), _u7566)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7562), _u7564)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7566), _u7564))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_mult__less__cancel1 ( axiom ) converted to clauses:
% 39.89/40.06 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), _u7570), _u7572)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7570), _u7574))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7570)) )).
% 39.89/40.06 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), _u7570), _u7572)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7570), _u7574))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7572), _u7574)) )).
% 39.89/40.06 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)), _u7571)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7573), _u7575)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7571), _u7573)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7571), _u7575))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_nat__0__less__mult__iff ( axiom ) converted to clauses:
% 39.89/40.06 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), _u7578), _u7580))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7578)) )).
% 39.89/40.06 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), _u7578), _u7580))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7580)) )).
% 39.89/40.06 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)), _u7579)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7581)) | 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), _u7579), _u7581))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_nat__mult__less__cancel1 ( axiom ) converted to clauses:
% 39.89/40.06 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)), _u7582)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7582), _u7583)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7582), _u7584))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7583), _u7584)) )).
% 39.89/40.06 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)), _u7582)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7583), _u7584)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7582), _u7583)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7582), _u7584))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_nat__mult__eq__cancel1 ( axiom ) converted to clauses:
% 39.89/40.06 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)), _u7585)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7585), _u7586) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7585), _u7587)) | ( _u7586 = _u7587) )).
% 39.89/40.06 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)), _u7585)) | ( _u7586 != _u7587) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7585), _u7586) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7585), _u7587)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_diff__add__0 ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_diff__add__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7588), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7588), _u7589)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_diff__is__0__eq_H ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_diff__is__0__eq_H-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7590), _u7591)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7590), _u7591) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_diff__is__0__eq ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_diff__is__0__eq-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7594), _u7596) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7594), _u7596)) )).
% 39.89/40.06 cnf(fact_diff__is__0__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7595), _u7597)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7595), _u7597) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_One__nat__def ( axiom ) converted to clauses:
% 39.89/40.06 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))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_mult__eq__self__implies__10 ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_mult__eq__self__implies__10-1, axiom, ( ( _u7598 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7598), _u7599)) | ( _u7599 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u7598 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_fold__graph_OinsertI ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_fold__graph_OinsertI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u7600), _u7601), _u7602)) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u7600, _u7603, _u7604, _u7605, _u7602), _u7606)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u7600, _u7603, _u7604, _u7605, hAPP(hAPP(c_Set_Oinsert(_u7600), _u7601), _u7602)), hAPP(hAPP(_u7604, _u7601), _u7606))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_setsum__eq__0__iff ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_setsum__eq__0__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7609), _u7610)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7609, tc_Nat_Onat), _u7611), _u7610) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u7609), _u7607), _u7610)) | ( hAPP(_u7611, _u7607) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.06 cnf(fact_setsum__eq__0__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7609), _u7610)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7609, tc_Nat_Onat), _u7611), _u7610) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u7609), skolem134(_u7611, _u7610, _u7609)), _u7610)) )).
% 39.89/40.06 cnf(fact_setsum__eq__0__iff-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7609), _u7610)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7609, tc_Nat_Onat), _u7611), _u7610) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(_u7611, skolem134(_u7611, _u7610, _u7609)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_Min_Oin__idem ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_Min_Oin__idem-1, axiom, ( ~class_Orderings_Olinorder(_u7612) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7612), _u7613)) | ~hBOOL(hAPP(hAPP(c_member(_u7612), _u7614), _u7613)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7612), _u7614), c_Big__Operators_Olinorder__class_OMin(_u7612, _u7613)) = c_Big__Operators_Olinorder__class_OMin(_u7612, _u7613)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_min__max_Omono__inf ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_min__max_Omono__inf-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u7615) | ~class_Orderings_Olinorder(_u7616) | ~c_Orderings_Oorder__class_Omono(_u7616, _u7615, _u7617) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7615), hAPP(_u7617, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7616), _u7618), _u7619))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u7615), hAPP(_u7617, _u7618)), hAPP(_u7617, _u7619)))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_add__nonpos__neg ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_add__nonpos__neg-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u7620) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7620), _u7621), c_Groups_Ozero__class_Ozero(_u7620))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7620), _u7622), c_Groups_Ozero__class_Ozero(_u7620))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7620), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7620), _u7621), _u7622)), c_Groups_Ozero__class_Ozero(_u7620))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_add__neg__nonpos ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_add__neg__nonpos-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u7623) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7623), _u7624), c_Groups_Ozero__class_Ozero(_u7623))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7623), _u7625), c_Groups_Ozero__class_Ozero(_u7623))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7623), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7623), _u7624), _u7625)), c_Groups_Ozero__class_Ozero(_u7623))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_add__strict__increasing2 ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_add__strict__increasing2-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u7626) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7626), c_Groups_Ozero__class_Ozero(_u7626)), _u7627)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7626), _u7628), _u7629)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7626), _u7628), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7626), _u7627), _u7629))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_add__strict__increasing ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_add__strict__increasing-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u7630) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7630), c_Groups_Ozero__class_Ozero(_u7630)), _u7631)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7630), _u7632), _u7633)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7630), _u7632), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7630), _u7631), _u7633))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_add__nonneg__pos ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_add__nonneg__pos-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u7634) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7634), c_Groups_Ozero__class_Ozero(_u7634)), _u7635)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7634), c_Groups_Ozero__class_Ozero(_u7634)), _u7636)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7634), c_Groups_Ozero__class_Ozero(_u7634)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7634), _u7635), _u7636))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_add__pos__nonneg ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_add__pos__nonneg-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u7637) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7637), c_Groups_Ozero__class_Ozero(_u7637)), _u7638)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7637), c_Groups_Ozero__class_Ozero(_u7637)), _u7639)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7637), c_Groups_Ozero__class_Ozero(_u7637)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7637), _u7638), _u7639))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_mult__left__le__imp__le ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_mult__left__le__imp__le-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u7640) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7640), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7640), _u7641), _u7642)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7640), _u7641), _u7643))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7640), c_Groups_Ozero__class_Ozero(_u7640)), _u7641)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7640), _u7642), _u7643)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_mult__right__le__imp__le ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_mult__right__le__imp__le-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u7644) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7644), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7644), _u7645), _u7646)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7644), _u7647), _u7646))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7644), c_Groups_Ozero__class_Ozero(_u7644)), _u7646)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7644), _u7645), _u7647)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_mult__less__imp__less__left ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_mult__less__imp__less__left-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u7648) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7648), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7648), _u7649), _u7650)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7648), _u7649), _u7651))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7648), c_Groups_Ozero__class_Ozero(_u7648)), _u7649)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7648), _u7650), _u7651)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_mult__left__less__imp__less ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_mult__left__less__imp__less-1, axiom, ( ~class_Rings_Olinordered__semiring(_u7652) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7652), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7652), _u7653), _u7654)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7652), _u7653), _u7655))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7652), c_Groups_Ozero__class_Ozero(_u7652)), _u7653)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7652), _u7654), _u7655)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_mult__less__imp__less__right ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_mult__less__imp__less__right-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u7656) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7656), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7656), _u7657), _u7658)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7656), _u7659), _u7658))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7656), c_Groups_Ozero__class_Ozero(_u7656)), _u7658)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7656), _u7657), _u7659)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_mult__right__less__imp__less ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_mult__right__less__imp__less-1, axiom, ( ~class_Rings_Olinordered__semiring(_u7660) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7660), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7660), _u7661), _u7662)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7660), _u7663), _u7662))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7660), c_Groups_Ozero__class_Ozero(_u7660)), _u7662)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7660), _u7661), _u7663)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_mult__le__less__imp__less ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_mult__le__less__imp__less-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u7664) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7664), _u7665), _u7666)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7664), _u7667), _u7668)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7664), c_Groups_Ozero__class_Ozero(_u7664)), _u7665)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7664), c_Groups_Ozero__class_Ozero(_u7664)), _u7667)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7664), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7664), _u7665), _u7667)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7664), _u7666), _u7668))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_mult__less__le__imp__less ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_mult__less__le__imp__less-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u7669) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7669), _u7670), _u7671)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7669), _u7672), _u7673)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7669), c_Groups_Ozero__class_Ozero(_u7669)), _u7670)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7669), c_Groups_Ozero__class_Ozero(_u7669)), _u7672)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7669), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7669), _u7670), _u7672)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7669), _u7671), _u7673))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_mult__strict__mono_H ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_mult__strict__mono_H-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u7674) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7674), _u7675), _u7676)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7674), _u7677), _u7678)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7674), c_Groups_Ozero__class_Ozero(_u7674)), _u7675)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7674), c_Groups_Ozero__class_Ozero(_u7674)), _u7677)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7674), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7674), _u7675), _u7677)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7674), _u7676), _u7678))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_mult__strict__mono ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_mult__strict__mono-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u7679) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7679), _u7680), _u7681)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7679), _u7682), _u7683)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7679), c_Groups_Ozero__class_Ozero(_u7679)), _u7681)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7679), c_Groups_Ozero__class_Ozero(_u7679)), _u7682)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7679), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7679), _u7680), _u7682)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7679), _u7681), _u7683))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_mult__le__cancel__left__neg ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_mult__le__cancel__left__neg-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u7684) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7684), _u7685), c_Groups_Ozero__class_Ozero(_u7684))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7684), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7684), _u7685), _u7686)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7684), _u7685), _u7687))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7684), _u7687), _u7686)) )).
% 39.89/40.06 cnf(fact_mult__le__cancel__left__neg-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u7684) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7684), _u7685), c_Groups_Ozero__class_Ozero(_u7684))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7684), _u7687), _u7686)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7684), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7684), _u7685), _u7686)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7684), _u7685), _u7687))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_mult__le__cancel__left__pos ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_mult__le__cancel__left__pos-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u7688) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7688), c_Groups_Ozero__class_Ozero(_u7688)), _u7689)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7688), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7688), _u7689), _u7690)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7688), _u7689), _u7691))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7688), _u7690), _u7691)) )).
% 39.89/40.06 cnf(fact_mult__le__cancel__left__pos-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u7688) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7688), c_Groups_Ozero__class_Ozero(_u7688)), _u7689)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7688), _u7690), _u7691)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7688), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7688), _u7689), _u7690)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7688), _u7689), _u7691))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_sum__squares__le__zero__iff ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_sum__squares__le__zero__iff-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u7692) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7692), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7692), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7692), _u7693), _u7693)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7692), _u7694), _u7694))), c_Groups_Ozero__class_Ozero(_u7692))) | ( _u7693 = c_Groups_Ozero__class_Ozero(_u7692)) )).
% 39.89/40.06 cnf(fact_sum__squares__le__zero__iff-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u7692) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7692), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7692), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7692), _u7693), _u7693)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7692), _u7694), _u7694))), c_Groups_Ozero__class_Ozero(_u7692))) | ( _u7694 = c_Groups_Ozero__class_Ozero(_u7692)) )).
% 39.89/40.06 cnf(fact_sum__squares__le__zero__iff-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u7692) | ( _u7693 != c_Groups_Ozero__class_Ozero(_u7692)) | ( _u7694 != c_Groups_Ozero__class_Ozero(_u7692)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7692), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7692), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7692), _u7693), _u7693)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7692), _u7694), _u7694))), c_Groups_Ozero__class_Ozero(_u7692))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_sum__squares__ge__zero ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_sum__squares__ge__zero-1, axiom, ( ~class_Rings_Olinordered__ring(_u7695) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7695), c_Groups_Ozero__class_Ozero(_u7695)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7695), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7695), _u7696), _u7696)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7695), _u7697), _u7697)))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_not__sum__squares__lt__zero ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_not__sum__squares__lt__zero-1, axiom, ( ~class_Rings_Olinordered__ring(_u7698) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7698), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7698), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7698), _u7699), _u7699)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7698), _u7700), _u7700))), c_Groups_Ozero__class_Ozero(_u7698))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_sum__squares__gt__zero__iff ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_sum__squares__gt__zero__iff-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u7701) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7701), c_Groups_Ozero__class_Ozero(_u7701)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7701), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7701), _u7702), _u7702)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7701), _u7703), _u7703)))) | ( _u7702 != c_Groups_Ozero__class_Ozero(_u7701)) | ( _u7703 != c_Groups_Ozero__class_Ozero(_u7701)) )).
% 39.89/40.06 cnf(fact_sum__squares__gt__zero__iff-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u7701) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7701), c_Groups_Ozero__class_Ozero(_u7701)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7701), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7701), _u7702), _u7702)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7701), _u7703), _u7703)))) | ( _u7702 = c_Groups_Ozero__class_Ozero(_u7701)) )).
% 39.89/40.06 cnf(fact_sum__squares__gt__zero__iff-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u7701) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7701), c_Groups_Ozero__class_Ozero(_u7701)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7701), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7701), _u7702), _u7702)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7701), _u7703), _u7703)))) | ( _u7703 = c_Groups_Ozero__class_Ozero(_u7701)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_mult__right__le__one__le ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_mult__right__le__one__le-1, axiom, ( ~class_Rings_Olinordered__idom(_u7704) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7704), c_Groups_Ozero__class_Ozero(_u7704)), _u7705)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7704), c_Groups_Ozero__class_Ozero(_u7704)), _u7706)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7704), _u7706), c_Groups_Oone__class_Oone(_u7704))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7704), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7704), _u7705), _u7706)), _u7705)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_mult__left__le__one__le ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_mult__left__le__one__le-1, axiom, ( ~class_Rings_Olinordered__idom(_u7707) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7707), c_Groups_Ozero__class_Ozero(_u7707)), _u7708)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7707), c_Groups_Ozero__class_Ozero(_u7707)), _u7709)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7707), _u7709), c_Groups_Oone__class_Oone(_u7707))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7707), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7707), _u7709), _u7708)), _u7708)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_zero__less__two ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_zero__less__two-1, axiom, ( ~class_Rings_Olinordered__semidom(_u7710) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7710), c_Groups_Ozero__class_Ozero(_u7710)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7710), c_Groups_Oone__class_Oone(_u7710)), c_Groups_Oone__class_Oone(_u7710)))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_card__eq__0__iff ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_card__eq__0__iff-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u7713), _u7715) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u7715 = c_Orderings_Obot__class_Obot(tc_fun(_u7713, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7713), _u7715)) )).
% 39.89/40.06 cnf(fact_card__eq__0__iff-2, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u7714), _u7716) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u7716 != c_Orderings_Obot__class_Obot(tc_fun(_u7714, tc_HOL_Obool))) )).
% 39.89/40.06 cnf(fact_card__eq__0__iff-3, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u7714), _u7716) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7714), _u7716)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_card__ge__0__finite ( axiom ) converted to clauses:
% 39.89/40.06 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(_u7717), _u7718))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7717), _u7718)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_diff__Suc__less ( axiom ) converted to clauses:
% 39.89/40.06 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)), _u7719)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7719), hAPP(c_Nat_OSuc, _u7720))), _u7719)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_Suc__pred ( axiom ) converted to clauses:
% 39.89/40.06 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)), _u7721)) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7721), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) = _u7721) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_one__less__mult ( axiom ) converted to clauses:
% 39.89/40.06 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))), _u7722)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u7723)) | 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), _u7723), _u7722))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_n__less__n__mult__m ( axiom ) converted to clauses:
% 39.89/40.06 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))), _u7724)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u7725)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7724), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7724), _u7725))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_n__less__m__mult__n ( axiom ) converted to clauses:
% 39.89/40.06 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))), _u7726)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u7727)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7726), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7727), _u7726))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_nat__diff__split ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_nat__diff__split-1, axiom, ( ~hBOOL(hAPP(_u7733, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7735), _u7737))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7735), _u7737)) | hBOOL(hAPP(_u7733, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 39.89/40.06 cnf(fact_nat__diff__split-2, axiom, ( ~hBOOL(hAPP(_u7733, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7735), _u7737))) | ( _u7735 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7737), _u7728)) | hBOOL(hAPP(_u7733, _u7728)) )).
% 39.89/40.06 cnf(fact_nat__diff__split-3, axiom, ( hBOOL(hAPP(_u7734, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7736), _u7738))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7736), _u7738)) | ( _u7736 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7738), skolem135(_u7738, _u7736, _u7734))) )).
% 39.89/40.06 cnf(fact_nat__diff__split-4, axiom, ( hBOOL(hAPP(_u7734, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7736), _u7738))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7736), _u7738)) | ~hBOOL(hAPP(_u7734, skolem135(_u7738, _u7736, _u7734))) )).
% 39.89/40.06 cnf(fact_nat__diff__split-5, axiom, ( hBOOL(hAPP(_u7734, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7736), _u7738))) | ~hBOOL(hAPP(_u7734, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u7736 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7738), skolem135(_u7738, _u7736, _u7734))) )).
% 39.89/40.06 cnf(fact_nat__diff__split-6, axiom, ( hBOOL(hAPP(_u7734, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7736), _u7738))) | ~hBOOL(hAPP(_u7734, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u7734, skolem135(_u7738, _u7736, _u7734))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_nat__diff__split__asm ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_nat__diff__split__asm-1, axiom, ( ~hBOOL(hAPP(_u7744, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7746), _u7748))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7746), _u7748)) | hBOOL(hAPP(_u7744, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 39.89/40.06 cnf(fact_nat__diff__split__asm-2, axiom, ( ~hBOOL(hAPP(_u7744, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7746), _u7748))) | ( _u7746 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7748), _u7739)) | hBOOL(hAPP(_u7744, _u7739)) )).
% 39.89/40.06 cnf(fact_nat__diff__split__asm-3, axiom, ( hBOOL(hAPP(_u7745, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7747), _u7749))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7747), _u7749)) | ( _u7747 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7749), skolem136(_u7749, _u7747, _u7745))) )).
% 39.89/40.06 cnf(fact_nat__diff__split__asm-4, axiom, ( hBOOL(hAPP(_u7745, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7747), _u7749))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7747), _u7749)) | ~hBOOL(hAPP(_u7745, skolem136(_u7749, _u7747, _u7745))) )).
% 39.89/40.06 cnf(fact_nat__diff__split__asm-5, axiom, ( hBOOL(hAPP(_u7745, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7747), _u7749))) | ~hBOOL(hAPP(_u7745, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u7747 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7749), skolem136(_u7749, _u7747, _u7745))) )).
% 39.89/40.06 cnf(fact_nat__diff__split__asm-6, axiom, ( hBOOL(hAPP(_u7745, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7747), _u7749))) | ~hBOOL(hAPP(_u7745, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u7745, skolem136(_u7749, _u7747, _u7745))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_one__le__mult__iff ( axiom ) converted to clauses:
% 39.89/40.06 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), _u7752), _u7754))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u7752)) )).
% 39.89/40.06 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), _u7752), _u7754))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u7754)) )).
% 39.89/40.06 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))), _u7753)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u7755)) | 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), _u7753), _u7755))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_mult__le__cancel1 ( axiom ) converted to clauses:
% 39.89/40.06 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), _u7759), _u7761)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7759), _u7763))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7759)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7761), _u7763)) )).
% 39.89/40.06 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), _u7760), _u7762)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7760), _u7764))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7760)) )).
% 39.89/40.06 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), _u7760), _u7762)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7760), _u7764))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7762), _u7764)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_mult__le__cancel2 ( axiom ) converted to clauses:
% 39.89/40.06 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), _u7768), _u7770)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7772), _u7770))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7770)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7768), _u7772)) )).
% 39.89/40.06 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), _u7769), _u7771)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7773), _u7771))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7771)) )).
% 39.89/40.06 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), _u7769), _u7771)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7773), _u7771))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7769), _u7773)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_nat__mult__le__cancel1 ( axiom ) converted to clauses:
% 39.89/40.06 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)), _u7774)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7774), _u7775)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7774), _u7776))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7775), _u7776)) )).
% 39.89/40.06 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)), _u7774)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7775), _u7776)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7774), _u7775)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7774), _u7776))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_setsum__eq__Suc0__iff ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_setsum__eq__Suc0__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7781), _u7782)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7781, tc_Nat_Onat), _u7783), _u7782) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_member(_u7781), skolem137(_u7783, _u7782, _u7781)), _u7782)) )).
% 39.89/40.06 cnf(fact_setsum__eq__Suc0__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7781), _u7782)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7781, tc_Nat_Onat), _u7783), _u7782) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( hAPP(_u7783, skolem137(_u7783, _u7782, _u7781)) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 39.89/40.06 cnf(fact_setsum__eq__Suc0__iff-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7781), _u7782)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7781, tc_Nat_Onat), _u7783), _u7782) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u7781), _u7777), _u7782)) | ( skolem137(_u7783, _u7782, _u7781) = _u7777) | ( hAPP(_u7783, _u7777) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.06 cnf(fact_setsum__eq__Suc0__iff-4, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7781), _u7782)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7781, tc_Nat_Onat), _u7783), _u7782) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u7781), _u7780), _u7782)) | ( hAPP(_u7783, _u7780) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_member(_u7781), skolem138(_u7783, _u7782, _u7781, _u7780)), _u7782)) )).
% 39.89/40.06 cnf(fact_setsum__eq__Suc0__iff-5, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7781), _u7782)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7781, tc_Nat_Onat), _u7783), _u7782) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u7781), _u7780), _u7782)) | ( hAPP(_u7783, _u7780) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u7780 != skolem138(_u7783, _u7782, _u7781, _u7780)) )).
% 39.89/40.06 cnf(fact_setsum__eq__Suc0__iff-6, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7781), _u7782)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7781, tc_Nat_Onat), _u7783), _u7782) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u7781), _u7780), _u7782)) | ( hAPP(_u7783, _u7780) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( hAPP(_u7783, skolem138(_u7783, _u7782, _u7781, _u7780)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_fold__graph__insert__swap ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_fold__graph__insert__swap-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u7784) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u7784, _u7784, c_Groups_Otimes__class_Otimes(_u7784), _u7785, _u7786), _u7787)) | hBOOL(hAPP(hAPP(c_member(_u7784), _u7785), _u7786)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u7784, _u7784, c_Groups_Otimes__class_Otimes(_u7784), _u7788, hAPP(hAPP(c_Set_Oinsert(_u7784), _u7785), _u7786)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7784), _u7788), _u7787))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_setsum__eq__1__iff ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_setsum__eq__1__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7793), _u7794)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7793, tc_Nat_Onat), _u7795), _u7794) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u7793), skolem139(_u7795, _u7794, _u7793)), _u7794)) )).
% 39.89/40.06 cnf(fact_setsum__eq__1__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7793), _u7794)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7793, tc_Nat_Onat), _u7795), _u7794) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(_u7795, skolem139(_u7795, _u7794, _u7793)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 39.89/40.06 cnf(fact_setsum__eq__1__iff-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7793), _u7794)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7793, tc_Nat_Onat), _u7795), _u7794) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u7793), _u7789), _u7794)) | ( skolem139(_u7795, _u7794, _u7793) = _u7789) | ( hAPP(_u7795, _u7789) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.06 cnf(fact_setsum__eq__1__iff-4, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7793), _u7794)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7793, tc_Nat_Onat), _u7795), _u7794) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u7793), _u7792), _u7794)) | ( hAPP(_u7795, _u7792) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u7793), skolem140(_u7795, _u7794, _u7793, _u7792)), _u7794)) )).
% 39.89/40.06 cnf(fact_setsum__eq__1__iff-5, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7793), _u7794)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7793, tc_Nat_Onat), _u7795), _u7794) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u7793), _u7792), _u7794)) | ( hAPP(_u7795, _u7792) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u7792 != skolem140(_u7795, _u7794, _u7793, _u7792)) )).
% 39.89/40.06 cnf(fact_setsum__eq__1__iff-6, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7793), _u7794)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7793, tc_Nat_Onat), _u7795), _u7794) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u7793), _u7792), _u7794)) | ( hAPP(_u7795, _u7792) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(_u7795, skolem140(_u7795, _u7794, _u7793, _u7792)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_setsum__delta ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_setsum__delta-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7796) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7797), _u7798)) | ~hBOOL(hAPP(hAPP(c_member(_u7797), _u7799), _u7798)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7797, _u7796), hAPP(hAPP(c_COMBC(_u7797, _u7796, _u7796), hAPP(hAPP(c_COMBS(_u7797, _u7796, tc_fun(_u7796, _u7796)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u7796, tc_fun(_u7796, _u7796)), _u7797), c_If(_u7796)), hAPP(hAPP(c_COMBC(_u7797, _u7797, tc_HOL_Obool), c_fequal), _u7799))), _u7800)), c_Groups_Ozero__class_Ozero(_u7796))), _u7798) = hAPP(_u7800, _u7799)) )).
% 39.89/40.06 cnf(fact_setsum__delta-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7796) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7797), _u7798)) | hBOOL(hAPP(hAPP(c_member(_u7797), _u7799), _u7798)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7797, _u7796), hAPP(hAPP(c_COMBC(_u7797, _u7796, _u7796), hAPP(hAPP(c_COMBS(_u7797, _u7796, tc_fun(_u7796, _u7796)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u7796, tc_fun(_u7796, _u7796)), _u7797), c_If(_u7796)), hAPP(hAPP(c_COMBC(_u7797, _u7797, tc_HOL_Obool), c_fequal), _u7799))), _u7800)), c_Groups_Ozero__class_Ozero(_u7796))), _u7798) = c_Groups_Ozero__class_Ozero(_u7796)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_setsum__delta_H ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_setsum__delta_H-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7801) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7802), _u7803)) | ~hBOOL(hAPP(hAPP(c_member(_u7802), _u7804), _u7803)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7802, _u7801), hAPP(hAPP(c_COMBC(_u7802, _u7801, _u7801), hAPP(hAPP(c_COMBS(_u7802, _u7801, tc_fun(_u7801, _u7801)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u7801, tc_fun(_u7801, _u7801)), _u7802), c_If(_u7801)), hAPP(c_fequal, _u7804))), _u7805)), c_Groups_Ozero__class_Ozero(_u7801))), _u7803) = hAPP(_u7805, _u7804)) )).
% 39.89/40.06 cnf(fact_setsum__delta_H-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7801) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7802), _u7803)) | hBOOL(hAPP(hAPP(c_member(_u7802), _u7804), _u7803)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7802, _u7801), hAPP(hAPP(c_COMBC(_u7802, _u7801, _u7801), hAPP(hAPP(c_COMBS(_u7802, _u7801, tc_fun(_u7801, _u7801)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u7801, tc_fun(_u7801, _u7801)), _u7802), c_If(_u7801)), hAPP(c_fequal, _u7804))), _u7805)), c_Groups_Ozero__class_Ozero(_u7801))), _u7803) = c_Groups_Ozero__class_Ozero(_u7801)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_Min__insert ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_Min__insert-1, axiom, ( ~class_Orderings_Olinorder(_u7806) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7806), _u7807)) | ( _u7807 = c_Orderings_Obot__class_Obot(tc_fun(_u7806, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u7806, hAPP(hAPP(c_Set_Oinsert(_u7806), _u7808), _u7807)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7806), _u7808), c_Big__Operators_Olinorder__class_OMin(_u7806, _u7807))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_Min_Osubset__idem ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_Min_Osubset__idem-1, axiom, ( ~class_Orderings_Olinorder(_u7809) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7809), _u7810)) | ( _u7811 = c_Orderings_Obot__class_Obot(tc_fun(_u7809, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7809, tc_HOL_Obool)), _u7811), _u7810)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7809), c_Big__Operators_Olinorder__class_OMin(_u7809, _u7811)), c_Big__Operators_Olinorder__class_OMin(_u7809, _u7810)) = c_Big__Operators_Olinorder__class_OMin(_u7809, _u7810)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_Min__Un ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_Min__Un-1, axiom, ( ~class_Orderings_Olinorder(_u7812) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7812), _u7813)) | ( _u7813 = c_Orderings_Obot__class_Obot(tc_fun(_u7812, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7812), _u7814)) | ( _u7814 = c_Orderings_Obot__class_Obot(tc_fun(_u7812, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u7812, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7812, tc_HOL_Obool)), _u7813), _u7814)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7812), c_Big__Operators_Olinorder__class_OMin(_u7812, _u7813)), c_Big__Operators_Olinorder__class_OMin(_u7812, _u7814))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_card__less__Suc2 ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_card__less__Suc2-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7815)) | ( 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)), _u7815))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), _u7816)))) = 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)), _u7815))), 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, _u7816)))))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_card__less ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_card__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7817)) | ( 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)), _u7817))), 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, _u7818))))) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_card__less__Suc ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_card__less__Suc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7819)) | ( 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)), _u7819))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), _u7820))))) = 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)), _u7819))), 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, _u7820)))))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_convex__bound__le ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_convex__bound__le-1, axiom, ( ~class_Rings_Olinordered__semiring__1(_u7821) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7821), _u7822), _u7823)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7821), _u7824), _u7823)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7821), c_Groups_Ozero__class_Ozero(_u7821)), _u7825)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7821), c_Groups_Ozero__class_Ozero(_u7821)), _u7826)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7821), _u7825), _u7826) != c_Groups_Oone__class_Oone(_u7821)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7821), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7821), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7821), _u7825), _u7822)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7821), _u7826), _u7824))), _u7823)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_card__gt__0__iff ( axiom ) converted to clauses:
% 39.89/40.06 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(_u7829), _u7831))) | ( _u7831 != c_Orderings_Obot__class_Obot(tc_fun(_u7829, tc_HOL_Obool))) )).
% 39.89/40.06 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(_u7829), _u7831))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7829), _u7831)) )).
% 39.89/40.06 cnf(fact_card__gt__0__iff-3, axiom, ( ( _u7832 = c_Orderings_Obot__class_Obot(tc_fun(_u7830, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7830), _u7832)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u7830), _u7832))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_finite__UNIV__card__ge__0 ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_finite__UNIV__card__ge__0-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7833), c_Orderings_Otop__class_Otop(tc_fun(_u7833, 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(_u7833), c_Orderings_Otop__class_Otop(tc_fun(_u7833, tc_HOL_Obool))))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_setsum_OF__eq ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_setsum_OF__eq-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7834) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7835), _u7836)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7835, _u7834), _u7837), _u7836) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u7834, _u7835, c_Groups_Oplus__class_Oplus(_u7834)), _u7837), c_Groups_Ozero__class_Ozero(_u7834)), _u7836)) )).
% 39.89/40.06 cnf(fact_setsum_OF__eq-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7834) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7835), _u7836)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7835, _u7834), _u7837), _u7836) = c_Groups_Ozero__class_Ozero(_u7834)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_setsum_Oeq__fold ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_setsum_Oeq__fold-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7838) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7839), _u7840)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7839, _u7838), _u7841), _u7840) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u7838, _u7839, c_Groups_Oplus__class_Oplus(_u7838)), _u7841), c_Groups_Ozero__class_Ozero(_u7838)), _u7840)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_Suc__diff__1 ( axiom ) converted to clauses:
% 39.89/40.06 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)), _u7842)) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7842), c_Groups_Oone__class_Oone(tc_Nat_Onat))) = _u7842) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_Suc__pred_H ( axiom ) converted to clauses:
% 39.89/40.06 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)), _u7843)) | ( _u7843 = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7843), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_add__eq__if ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_add__eq__if-1, axiom, ( ( _u7846 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7846), _u7848) = _u7848) )).
% 39.89/40.06 cnf(fact_add__eq__if-2, axiom, ( ( _u7847 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7847), _u7849) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7847), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u7849))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_mult__eq__if ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_mult__eq__if-1, axiom, ( ( _u7852 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7852), _u7854) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.06 cnf(fact_mult__eq__if-2, axiom, ( ( _u7853 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7853), _u7855) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7855), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7853), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u7855))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_setsum__restrict__set_H ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_setsum__restrict__set_H-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7856) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7857), _u7858)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7857, _u7856), _u7859), hAPP(c_Set_OCollect(_u7857), hAPP(hAPP(c_COMBS(_u7857, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u7857), c_fconj), hAPP(hAPP(c_COMBC(_u7857, tc_fun(_u7857, tc_HOL_Obool), tc_HOL_Obool), c_member(_u7857)), _u7858))), hAPP(hAPP(c_COMBC(_u7857, tc_fun(_u7857, tc_HOL_Obool), tc_HOL_Obool), c_member(_u7857)), _u7860)))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7857, _u7856), hAPP(hAPP(c_COMBC(_u7857, _u7856, _u7856), hAPP(hAPP(c_COMBS(_u7857, _u7856, tc_fun(_u7856, _u7856)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u7856, tc_fun(_u7856, _u7856)), _u7857), c_If(_u7856)), hAPP(hAPP(c_COMBC(_u7857, tc_fun(_u7857, tc_HOL_Obool), tc_HOL_Obool), c_member(_u7857)), _u7860))), _u7859)), c_Groups_Ozero__class_Ozero(_u7856))), _u7858)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_setsum__restrict__set ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_setsum__restrict__set-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7861) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7862), _u7863)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7862, _u7861), _u7864), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7862, tc_HOL_Obool)), _u7863), _u7865)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7862, _u7861), hAPP(hAPP(c_COMBC(_u7862, _u7861, _u7861), hAPP(hAPP(c_COMBS(_u7862, _u7861, tc_fun(_u7861, _u7861)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u7861, tc_fun(_u7861, _u7861)), _u7862), c_If(_u7861)), hAPP(hAPP(c_COMBC(_u7862, tc_fun(_u7862, tc_HOL_Obool), tc_HOL_Obool), c_member(_u7862)), _u7865))), _u7864)), c_Groups_Ozero__class_Ozero(_u7861))), _u7863)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_Diff1__fold__graph ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_Diff1__fold__graph-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u7866, _u7867, _u7868, _u7869, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7866, tc_HOL_Obool)), _u7870), hAPP(hAPP(c_Set_Oinsert(_u7866), _u7871), c_Orderings_Obot__class_Obot(tc_fun(_u7866, tc_HOL_Obool))))), _u7872)) | ~hBOOL(hAPP(hAPP(c_member(_u7866), _u7871), _u7870)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u7866, _u7867, _u7868, _u7869, _u7870), hAPP(hAPP(_u7868, _u7871), _u7872))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_Min_Oinsert ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_Min_Oinsert-1, axiom, ( ~class_Orderings_Olinorder(_u7873) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7873), _u7874)) | hBOOL(hAPP(hAPP(c_member(_u7873), _u7875), _u7874)) | ( _u7874 = c_Orderings_Obot__class_Obot(tc_fun(_u7873, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u7873, hAPP(hAPP(c_Set_Oinsert(_u7873), _u7875), _u7874)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7873), _u7875), c_Big__Operators_Olinorder__class_OMin(_u7873, _u7874))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_card__def ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_card__def-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7878), _u7880)) | ( hAPP(c_Finite__Set_Ocard(_u7878), _u7880) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_Nat_Onat, _u7878, c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), hAPP(c_COMBK(tc_Nat_Onat, _u7878), c_Groups_Oone__class_Oone(tc_Nat_Onat))), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7880)) )).
% 39.89/40.06 cnf(fact_card__def-2, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u7879), _u7881)) | ( hAPP(c_Finite__Set_Ocard(_u7879), _u7881) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_card_Oeq__fold__g ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_card_Oeq__fold__g-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7882), _u7883)) | ( hAPP(c_Finite__Set_Ocard(_u7882), _u7883) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_Nat_Onat, _u7882, c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), hAPP(c_COMBK(tc_Nat_Onat, _u7882), c_Groups_Oone__class_Oone(tc_Nat_Onat))), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7883)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_Min_Oinsert__remove ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_Min_Oinsert__remove-1, axiom, ( ~class_Orderings_Olinorder(_u7884) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7884), _u7885)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7884, tc_HOL_Obool)), _u7885), hAPP(hAPP(c_Set_Oinsert(_u7884), _u7886), c_Orderings_Obot__class_Obot(tc_fun(_u7884, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u7884, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u7884, hAPP(hAPP(c_Set_Oinsert(_u7884), _u7886), _u7885)) = _u7886) )).
% 39.89/40.06 cnf(fact_Min_Oinsert__remove-2, axiom, ( ~class_Orderings_Olinorder(_u7884) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7884), _u7885)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7884, tc_HOL_Obool)), _u7885), hAPP(hAPP(c_Set_Oinsert(_u7884), _u7886), c_Orderings_Obot__class_Obot(tc_fun(_u7884, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u7884, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u7884, hAPP(hAPP(c_Set_Oinsert(_u7884), _u7886), _u7885)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7884), _u7886), c_Big__Operators_Olinorder__class_OMin(_u7884, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7884, tc_HOL_Obool)), _u7885), hAPP(hAPP(c_Set_Oinsert(_u7884), _u7886), c_Orderings_Obot__class_Obot(tc_fun(_u7884, tc_HOL_Obool))))))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_Min_Ounion__inter ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_Min_Ounion__inter-1, axiom, ( ~class_Orderings_Olinorder(_u7887) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7887), _u7888)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7887), _u7889)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7887, tc_HOL_Obool)), _u7888), _u7889) = c_Orderings_Obot__class_Obot(tc_fun(_u7887, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7887), c_Big__Operators_Olinorder__class_OMin(_u7887, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7887, tc_HOL_Obool)), _u7888), _u7889))), c_Big__Operators_Olinorder__class_OMin(_u7887, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7887, tc_HOL_Obool)), _u7888), _u7889))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7887), c_Big__Operators_Olinorder__class_OMin(_u7887, _u7888)), c_Big__Operators_Olinorder__class_OMin(_u7887, _u7889))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_Min_Ounion__disjoint ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_Min_Ounion__disjoint-1, axiom, ( ~class_Orderings_Olinorder(_u7890) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7890), _u7891)) | ( _u7891 = c_Orderings_Obot__class_Obot(tc_fun(_u7890, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7890), _u7892)) | ( _u7892 = c_Orderings_Obot__class_Obot(tc_fun(_u7890, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7890, tc_HOL_Obool)), _u7891), _u7892) != c_Orderings_Obot__class_Obot(tc_fun(_u7890, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u7890, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7890, tc_HOL_Obool)), _u7891), _u7892)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7890), c_Big__Operators_Olinorder__class_OMin(_u7890, _u7891)), c_Big__Operators_Olinorder__class_OMin(_u7890, _u7892))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_convex__bound__lt ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_convex__bound__lt-1, axiom, ( ~class_Rings_Olinordered__semiring__1__strict(_u7893) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7893), _u7894), _u7895)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7893), _u7896), _u7895)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7893), c_Groups_Ozero__class_Ozero(_u7893)), _u7897)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7893), c_Groups_Ozero__class_Ozero(_u7893)), _u7898)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7893), _u7897), _u7898) != c_Groups_Oone__class_Oone(_u7893)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7893), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7893), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7893), _u7897), _u7894)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7893), _u7898), _u7896))), _u7895)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_triple_Osize_I1_J ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_triple_Osize_I1_J-1, axiom, ( ( c_Hoare__Mirabelle_Otriple_Otriple__size(_u7899, _u7900, c_Hoare__Mirabelle_Otriple_Otriple(_u7899, _u7901, _u7902, _u7903)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_vname_Osize_I1_J ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_vname_Osize_I1_J-1, axiom, ( ( c_Com_Ovname_Ovname__size(c_Com_Ovname_OGlb(_u7904)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_even__less__0__iff ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_even__less__0__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u7905) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7905), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7905), _u7906), _u7906)), c_Groups_Ozero__class_Ozero(_u7905))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7905), _u7906), c_Groups_Ozero__class_Ozero(_u7905))) )).
% 39.89/40.06 cnf(fact_even__less__0__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u7905) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7905), _u7906), c_Groups_Ozero__class_Ozero(_u7905))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7905), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7905), _u7906), _u7906)), c_Groups_Ozero__class_Ozero(_u7905))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_dual__max ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_dual__max-1, axiom, ( ~class_Orderings_Olinorder(_u7907) | ( c_Orderings_Oord_Omax(_u7907, hAPP(c_COMBC(_u7907, _u7907, tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(_u7907))) = c_Orderings_Oord__class_Omin(_u7907)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_vname_Osize_I2_J ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_vname_Osize_I2_J-1, axiom, ( ( c_Com_Ovname_Ovname__size(c_Com_Ovname_OLoc(_u7908)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_triple_Osize_I2_J ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_triple_Osize_I2_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Hoare__Mirabelle_Otriple(_u7909)), c_Hoare__Mirabelle_Otriple_Otriple(_u7909, _u7910, _u7911, _u7912)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_inf__nat__def ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_inf__nat__def-1, axiom, ( ( c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat) = c_Orderings_Oord__class_Omin(tc_Nat_Onat)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_double__eq__0__iff ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_double__eq__0__iff-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u7913) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7913), _u7914), _u7914) != c_Groups_Ozero__class_Ozero(_u7913)) | ( _u7914 = c_Groups_Ozero__class_Ozero(_u7913)) )).
% 39.89/40.06 cnf(fact_double__eq__0__iff-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u7913) | ( _u7914 != c_Groups_Ozero__class_Ozero(_u7913)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7913), _u7914), _u7914) = c_Groups_Ozero__class_Ozero(_u7913)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_card_Ounion__inter__neutral ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_card_Ounion__inter__neutral-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7916), _u7917)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7916), _u7918)) | ( hAPP(c_Finite__Set_Ocard(_u7916), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7916, tc_HOL_Obool)), _u7917), _u7918)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u7916), _u7917)), hAPP(c_Finite__Set_Ocard(_u7916), _u7918))) | hBOOL(hAPP(hAPP(c_member(_u7916), skolem141(_u7918, _u7917, _u7916)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7916, tc_HOL_Obool)), _u7917), _u7918))) )).
% 39.89/40.06 cnf(fact_card_Ounion__inter__neutral-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7916), _u7917)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7916), _u7918)) | ( hAPP(c_Finite__Set_Ocard(_u7916), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7916, tc_HOL_Obool)), _u7917), _u7918)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u7916), _u7917)), hAPP(c_Finite__Set_Ocard(_u7916), _u7918))) | ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_setsum__mono2 ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_setsum__mono2-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u7920) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7921), _u7922)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7921, tc_HOL_Obool)), _u7923), _u7922)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7920), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7921, _u7920), _u7924), _u7923)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7921, _u7920), _u7924), _u7922))) | hBOOL(hAPP(hAPP(c_member(_u7921), skolem142(_u7924, _u7923, _u7922, _u7921, _u7920)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7921, tc_HOL_Obool)), _u7922), _u7923))) )).
% 39.89/40.06 cnf(fact_setsum__mono2-2, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u7920) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7921), _u7922)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7921, tc_HOL_Obool)), _u7923), _u7922)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7920), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7921, _u7920), _u7924), _u7923)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7921, _u7920), _u7924), _u7922))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7920), c_Groups_Ozero__class_Ozero(_u7920)), hAPP(_u7924, skolem142(_u7924, _u7923, _u7922, _u7921, _u7920)))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_min__ord__min ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_min__ord__min-1, axiom, ( ~class_Orderings_Oord(_u7925) | ( c_Orderings_Oord__class_Omin(_u7925) = c_Orderings_Oord_Omin(_u7925, c_Orderings_Oord__class_Oless__eq(_u7925))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_fold1Set_Ointros ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_fold1Set_Ointros-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u7926, _u7926, _u7927, _u7928, _u7929), _u7930)) | hBOOL(hAPP(hAPP(c_member(_u7926), _u7928), _u7929)) | hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u7926, _u7927, hAPP(hAPP(c_Set_Oinsert(_u7926), _u7928), _u7929)), _u7930)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_vname_Osize_I3_J ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_vname_Osize_I3_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ovname), c_Com_Ovname_OGlb(_u7931)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_Min_Oclosed ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_Min_Oclosed-1, axiom, ( ~class_Orderings_Olinorder(_u7934) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7934), _u7935)) | ( _u7935 = c_Orderings_Obot__class_Obot(tc_fun(_u7934, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u7934), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7934), skolem143(_u7935, _u7934)), skolem144(_u7935, _u7934))), hAPP(hAPP(c_Set_Oinsert(_u7934), skolem143(_u7935, _u7934)), hAPP(hAPP(c_Set_Oinsert(_u7934), skolem144(_u7935, _u7934)), c_Orderings_Obot__class_Obot(tc_fun(_u7934, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u7934), c_Big__Operators_Olinorder__class_OMin(_u7934, _u7935)), _u7935)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_empty__fold1SetE ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_empty__fold1SetE-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u7936, _u7937, c_Orderings_Obot__class_Obot(tc_fun(_u7936, tc_HOL_Obool))), _u7938)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_fold1Set__nonempty ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_fold1Set__nonempty-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u7939, _u7940, _u7941), _u7942)) | ( _u7941 != c_Orderings_Obot__class_Obot(tc_fun(_u7939, tc_HOL_Obool))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_fold1Set__sing ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_fold1Set__sing-1, axiom, ( ( _u7951 = _u7953) | ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u7947, _u7949, hAPP(hAPP(c_Set_Oinsert(_u7947), _u7951), c_Orderings_Obot__class_Obot(tc_fun(_u7947, tc_HOL_Obool)))), _u7953)) )).
% 39.89/40.06 cnf(fact_fold1Set__sing-2, axiom, ( ( _u7952 != _u7954) | hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u7948, _u7950, hAPP(hAPP(c_Set_Oinsert(_u7948), _u7952), c_Orderings_Obot__class_Obot(tc_fun(_u7948, tc_HOL_Obool)))), _u7954)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_vname_Osize_I4_J ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_vname_Osize_I4_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ovname), c_Com_Ovname_OLoc(_u7955)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_arith__series__nat ( axiom ) converted to clauses:
% 39.89/40.06 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), _u7956)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Otimes__class_Otimes(tc_Nat_Onat)), _u7957))), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u7958))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7958), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7956), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7956), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7958), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u7957))))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_setsum__Un__zero ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_setsum__Un__zero-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7960) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7961), _u7962)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7961), _u7963)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7961, _u7960), _u7964), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7961, tc_HOL_Obool)), _u7962), _u7963)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7960), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7961, _u7960), _u7964), _u7962)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7961, _u7960), _u7964), _u7963))) | hBOOL(hAPP(hAPP(c_member(_u7961), skolem145(_u7964, _u7963, _u7962, _u7961, _u7960)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7961, tc_HOL_Obool)), _u7962), _u7963))) )).
% 39.89/40.06 cnf(fact_setsum__Un__zero-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7960) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7961), _u7962)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7961), _u7963)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7961, _u7960), _u7964), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7961, tc_HOL_Obool)), _u7962), _u7963)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7960), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7961, _u7960), _u7964), _u7962)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7961, _u7960), _u7964), _u7963))) | ( hAPP(_u7964, skolem145(_u7964, _u7963, _u7962, _u7961, _u7960)) != c_Groups_Ozero__class_Ozero(_u7960)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_setsum_Ounion__inter__neutral ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_setsum_Ounion__inter__neutral-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7966) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7967), _u7968)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7967), _u7969)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7967, _u7966), _u7970), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7967, tc_HOL_Obool)), _u7968), _u7969)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7966), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7967, _u7966), _u7970), _u7968)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7967, _u7966), _u7970), _u7969))) | hBOOL(hAPP(hAPP(c_member(_u7967), skolem146(_u7970, _u7969, _u7968, _u7967, _u7966)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7967, tc_HOL_Obool)), _u7968), _u7969))) )).
% 39.89/40.06 cnf(fact_setsum_Ounion__inter__neutral-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7966) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7967), _u7968)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7967), _u7969)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7967, _u7966), _u7970), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7967, tc_HOL_Obool)), _u7968), _u7969)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7966), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7967, _u7966), _u7970), _u7968)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7967, _u7966), _u7970), _u7969))) | ( hAPP(_u7970, skolem146(_u7970, _u7969, _u7968, _u7967, _u7966)) != c_Groups_Ozero__class_Ozero(_u7966)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_card__Suc__eq ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_card__Suc__eq-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u7978), _u7980) != hAPP(c_Nat_OSuc, _u7982)) | ( _u7980 = hAPP(hAPP(c_Set_Oinsert(_u7978), skolem147(_u7982, _u7980, _u7978)), skolem148(_u7982, _u7980, _u7978))) )).
% 39.89/40.06 cnf(fact_card__Suc__eq-2, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u7978), _u7980) != hAPP(c_Nat_OSuc, _u7982)) | ~hBOOL(hAPP(hAPP(c_member(_u7978), skolem147(_u7982, _u7980, _u7978)), skolem148(_u7982, _u7980, _u7978))) )).
% 39.89/40.06 cnf(fact_card__Suc__eq-3, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u7978), _u7980) != hAPP(c_Nat_OSuc, _u7982)) | ( hAPP(c_Finite__Set_Ocard(_u7978), skolem148(_u7982, _u7980, _u7978)) = _u7982) )).
% 39.89/40.06 cnf(fact_card__Suc__eq-4, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u7978), _u7980) != hAPP(c_Nat_OSuc, _u7982)) | ( _u7982 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( skolem148(_u7982, _u7980, _u7978) = c_Orderings_Obot__class_Obot(tc_fun(_u7978, tc_HOL_Obool))) )).
% 39.89/40.06 cnf(fact_card__Suc__eq-5, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u7979), _u7981) = hAPP(c_Nat_OSuc, _u7983)) | ( _u7981 != hAPP(hAPP(c_Set_Oinsert(_u7979), _u7974), _u7973)) | hBOOL(hAPP(hAPP(c_member(_u7979), _u7974), _u7973)) | ( hAPP(c_Finite__Set_Ocard(_u7979), _u7973) != _u7983) | ( _u7983 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.06 cnf(fact_card__Suc__eq-6, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u7979), _u7981) = hAPP(c_Nat_OSuc, _u7983)) | ( _u7981 != hAPP(hAPP(c_Set_Oinsert(_u7979), _u7974), _u7973)) | hBOOL(hAPP(hAPP(c_member(_u7979), _u7974), _u7973)) | ( hAPP(c_Finite__Set_Ocard(_u7979), _u7973) != _u7983) | ( _u7973 != c_Orderings_Obot__class_Obot(tc_fun(_u7979, tc_HOL_Obool))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_setsum__mono3 ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_setsum__mono3-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7985) | ~class_Groups_Oordered__ab__semigroup__add(_u7985) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7986), _u7987)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7986, tc_HOL_Obool)), _u7988), _u7987)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7985), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7986, _u7985), _u7989), _u7988)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7986, _u7985), _u7989), _u7987))) | hBOOL(hAPP(hAPP(c_member(_u7986), skolem149(_u7989, _u7988, _u7987, _u7986, _u7985)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7986, tc_HOL_Obool)), _u7987), _u7988))) )).
% 39.89/40.06 cnf(fact_setsum__mono3-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7985) | ~class_Groups_Oordered__ab__semigroup__add(_u7985) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7986), _u7987)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7986, tc_HOL_Obool)), _u7988), _u7987)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7985), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7986, _u7985), _u7989), _u7988)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7986, _u7985), _u7989), _u7987))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7985), c_Groups_Ozero__class_Ozero(_u7985)), hAPP(_u7989, skolem149(_u7989, _u7988, _u7987, _u7986, _u7985)))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_setsum__reindex__nonzero ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_setsum__reindex__nonzero-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7992) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7993), _u7994)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7997, _u7992), _u7996), hAPP(c_Set_Oimage(_u7993, _u7997, _u7995), _u7994)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7993, _u7992), hAPP(c_Fun_Ocomp(_u7997, _u7992, _u7993, _u7996), _u7995)), _u7994)) | hBOOL(hAPP(hAPP(c_member(_u7993), skolem150(_u7997, _u7996, _u7995, _u7994, _u7993, _u7992)), _u7994)) )).
% 39.89/40.06 cnf(fact_setsum__reindex__nonzero-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7992) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7993), _u7994)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7997, _u7992), _u7996), hAPP(c_Set_Oimage(_u7993, _u7997, _u7995), _u7994)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7993, _u7992), hAPP(c_Fun_Ocomp(_u7997, _u7992, _u7993, _u7996), _u7995)), _u7994)) | hBOOL(hAPP(hAPP(c_member(_u7993), skolem151(_u7997, _u7996, _u7995, _u7994, _u7993, _u7992)), _u7994)) )).
% 39.89/40.06 cnf(fact_setsum__reindex__nonzero-3, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7992) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7993), _u7994)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7997, _u7992), _u7996), hAPP(c_Set_Oimage(_u7993, _u7997, _u7995), _u7994)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7993, _u7992), hAPP(c_Fun_Ocomp(_u7997, _u7992, _u7993, _u7996), _u7995)), _u7994)) | ( skolem150(_u7997, _u7996, _u7995, _u7994, _u7993, _u7992) != skolem151(_u7997, _u7996, _u7995, _u7994, _u7993, _u7992)) )).
% 39.89/40.06 cnf(fact_setsum__reindex__nonzero-4, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7992) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7993), _u7994)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7997, _u7992), _u7996), hAPP(c_Set_Oimage(_u7993, _u7997, _u7995), _u7994)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7993, _u7992), hAPP(c_Fun_Ocomp(_u7997, _u7992, _u7993, _u7996), _u7995)), _u7994)) | ( hAPP(_u7995, skolem150(_u7997, _u7996, _u7995, _u7994, _u7993, _u7992)) = hAPP(_u7995, skolem151(_u7997, _u7996, _u7995, _u7994, _u7993, _u7992))) )).
% 39.89/40.06 cnf(fact_setsum__reindex__nonzero-5, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7992) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7993), _u7994)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7997, _u7992), _u7996), hAPP(c_Set_Oimage(_u7993, _u7997, _u7995), _u7994)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7993, _u7992), hAPP(c_Fun_Ocomp(_u7997, _u7992, _u7993, _u7996), _u7995)), _u7994)) | ( hAPP(_u7996, hAPP(_u7995, skolem150(_u7997, _u7996, _u7995, _u7994, _u7993, _u7992))) != c_Groups_Ozero__class_Ozero(_u7992)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_finite__lessThan ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_finite__lessThan-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u7998))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_lessThan__eq__iff ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_lessThan__eq__iff-1, axiom, ( ~class_Orderings_Olinorder(_u7999) | ( hAPP(c_SetInterval_Oord__class_OlessThan(_u7999), _u8000) != hAPP(c_SetInterval_Oord__class_OlessThan(_u7999), _u8001)) | ( _u8000 = _u8001) )).
% 39.89/40.06 cnf(fact_lessThan__eq__iff-2, axiom, ( ~class_Orderings_Olinorder(_u7999) | ( _u8000 != _u8001) | ( hAPP(c_SetInterval_Oord__class_OlessThan(_u7999), _u8000) = hAPP(c_SetInterval_Oord__class_OlessThan(_u7999), _u8001)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_lessThan__0 ( axiom ) converted to clauses:
% 39.89/40.06 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))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_lessThan__Suc ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_lessThan__Suc-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8002)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u8002), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u8002))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_card__lessThan ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_card__lessThan-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u8003)) = _u8003) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_UN__lessThan__UNIV ( axiom ) converted to clauses:
% 39.89/40.06 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))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_lessThan__Suc__eq__insert__0 ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_lessThan__Suc__eq__insert__0-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8004)) = 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), _u8004)))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_setsum__lessThan__Suc ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_setsum__lessThan__Suc-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u8005) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8005), _u8006), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8007))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8005), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8005), _u8006), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u8007))), hAPP(_u8006, _u8007))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_lessThan__iff ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_lessThan__iff-1, axiom, ( ~class_Orderings_Oord(_u8008) | ~hBOOL(hAPP(hAPP(c_member(_u8008), _u8009), hAPP(c_SetInterval_Oord__class_OlessThan(_u8008), _u8010))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8008), _u8009), _u8010)) )).
% 39.89/40.06 cnf(fact_lessThan__iff-2, axiom, ( ~class_Orderings_Oord(_u8008) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8008), _u8009), _u8010)) | hBOOL(hAPP(hAPP(c_member(_u8008), _u8009), hAPP(c_SetInterval_Oord__class_OlessThan(_u8008), _u8010))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_lessThan__subset__iff ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_lessThan__subset__iff-1, axiom, ( ~class_Orderings_Olinorder(_u8011) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8011, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u8011), _u8012)), hAPP(c_SetInterval_Oord__class_OlessThan(_u8011), _u8013))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8011), _u8012), _u8013)) )).
% 39.89/40.06 cnf(fact_lessThan__subset__iff-2, axiom, ( ~class_Orderings_Olinorder(_u8011) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8011), _u8012), _u8013)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8011, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u8011), _u8012)), hAPP(c_SetInterval_Oord__class_OlessThan(_u8011), _u8013))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_lessThan__strict__subset__iff ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_lessThan__strict__subset__iff-1, axiom, ( ~class_Orderings_Olinorder(_u8014) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u8014, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u8014), _u8015)), hAPP(c_SetInterval_Oord__class_OlessThan(_u8014), _u8016))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8014), _u8015), _u8016)) )).
% 39.89/40.06 cnf(fact_lessThan__strict__subset__iff-2, axiom, ( ~class_Orderings_Olinorder(_u8014) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8014), _u8015), _u8016)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u8014, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u8014), _u8015)), hAPP(c_SetInterval_Oord__class_OlessThan(_u8014), _u8016))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_single__Diff__lessThan ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_single__Diff__lessThan-1, axiom, ( ~class_Orderings_Oorder(_u8017) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8017, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u8017), _u8018), c_Orderings_Obot__class_Obot(tc_fun(_u8017, tc_HOL_Obool)))), hAPP(c_SetInterval_Oord__class_OlessThan(_u8017), _u8018)) = hAPP(hAPP(c_Set_Oinsert(_u8017), _u8018), c_Orderings_Obot__class_Obot(tc_fun(_u8017, tc_HOL_Obool)))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_arith__series__general ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_arith__series__general-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u8019) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8019), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8019), c_Groups_Oone__class_Oone(_u8019)), c_Groups_Oone__class_Oone(_u8019))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8019), hAPP(hAPP(c_COMBB(_u8019, _u8019, tc_Nat_Onat), hAPP(c_Groups_Oplus__class_Oplus(_u8019), _u8020)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, _u8019, _u8019), hAPP(hAPP(c_COMBB(_u8019, tc_fun(_u8019, _u8019), tc_Nat_Onat), c_Groups_Otimes__class_Otimes(_u8019)), c_Nat_Osemiring__1__class_Oof__nat(_u8019))), _u8021))), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u8022))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8019), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8019), _u8022)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8019), _u8020), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8019), _u8020), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8019), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8019), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8022), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), _u8021))))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_option_Osize_I2_J ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_option_Osize_I2_J-1, axiom, ( ( c_Option_Ooption_Ooption__size(_u8023, _u8024, hAPP(c_Option_Ooption_OSome(_u8023), _u8025)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u8024, _u8025)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_Ints__odd__less__0 ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_Ints__odd__less__0-1, axiom, ( ~class_Rings_Olinordered__idom(_u8026) | ~hBOOL(hAPP(hAPP(c_member(_u8026), _u8027), c_Int_Oring__1__class_OInts(_u8026))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8026), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8026), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8026), c_Groups_Oone__class_Oone(_u8026)), _u8027)), _u8027)), c_Groups_Ozero__class_Ozero(_u8026))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8026), _u8027), c_Groups_Ozero__class_Ozero(_u8026))) )).
% 39.89/40.06 cnf(fact_Ints__odd__less__0-2, axiom, ( ~class_Rings_Olinordered__idom(_u8026) | ~hBOOL(hAPP(hAPP(c_member(_u8026), _u8027), c_Int_Oring__1__class_OInts(_u8026))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8026), _u8027), c_Groups_Ozero__class_Ozero(_u8026))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8026), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8026), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8026), c_Groups_Oone__class_Oone(_u8026)), _u8027)), _u8027)), c_Groups_Ozero__class_Ozero(_u8026))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_com_Osize_I3_J ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_com_Osize_I3_J-1, axiom, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OLocal(_u8028, _u8029, _u8030)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Com_Ocom_Ocom__size(_u8030)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_com_Osize_I4_J ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_com_Osize_I4_J-1, axiom, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OSemi(_u8031, _u8032)) = 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(_u8031)), c_Com_Ocom_Ocom__size(_u8032))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_negative__zless ( axiom ) converted to clauses:
% 39.89/40.06 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, _u8033)))), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8034))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_Ints__of__nat ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_Ints__of__nat-1, axiom, ( ~class_Rings_Oring__1(_u8035) | hBOOL(hAPP(hAPP(c_member(_u8035), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8035), _u8036)), c_Int_Oring__1__class_OInts(_u8035))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_of__nat__eq__iff ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_of__nat__eq__iff-1, axiom, ( ~class_Nat_Osemiring__char__0(_u8037) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8037), _u8038) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8037), _u8039)) | ( _u8038 = _u8039) )).
% 39.89/40.06 cnf(fact_of__nat__eq__iff-2, axiom, ( ~class_Nat_Osemiring__char__0(_u8037) | ( _u8038 != _u8039) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8037), _u8038) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8037), _u8039)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_int__0 ( axiom ) converted to clauses:
% 39.89/40.06 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)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_int__eq__0__conv ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_int__eq__0__conv-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8041) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u8041 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.06 cnf(fact_int__eq__0__conv-2, axiom, ( ( _u8042 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8042) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_negative__eq__positive ( axiom ) converted to clauses:
% 39.89/40.06 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), _u8045)) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8047)) | ( _u8045 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.06 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), _u8045)) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8047)) | ( _u8047 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.06 cnf(fact_negative__eq__positive-3, axiom, ( ( _u8046 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u8048 != 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), _u8046)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8048)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_int__le__0__conv ( axiom ) converted to clauses:
% 39.89/40.06 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), _u8050)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u8050 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.06 cnf(fact_int__le__0__conv-2, axiom, ( ( _u8051 != 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), _u8051)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_int__zle__neg ( axiom ) converted to clauses:
% 39.89/40.06 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), _u8054)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8056)))) | ( _u8054 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.06 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), _u8054)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8056)))) | ( _u8056 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.06 cnf(fact_int__zle__neg-3, axiom, ( ( _u8055 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u8057 != 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), _u8055)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8057)))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_int__Suc ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_int__Suc-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, _u8058)) = 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), _u8058))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_zless__iff__Suc__zadd ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_zless__iff__Suc__zadd-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8063), _u8065)) | ( _u8065 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8063), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, skolem152(_u8065, _u8063))))) )).
% 39.89/40.06 cnf(fact_zless__iff__Suc__zadd-2, axiom, ( ( _u8066 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8064), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, _u8060)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8064), _u8066)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_not__zle__0__negative ( axiom ) converted to clauses:
% 39.89/40.06 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, _u8067))))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_negative__zless__0 ( axiom ) converted to clauses:
% 39.89/40.06 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, _u8068)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_zless__int ( axiom ) converted to clauses:
% 39.89/40.06 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), _u8071)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8073))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8071), _u8073)) )).
% 39.89/40.06 cnf(fact_zless__int-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8072), _u8074)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8072)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8074))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_zadd__int__left ( axiom ) converted to clauses:
% 39.89/40.06 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), _u8075)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8076)), _u8077)) = 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), _u8075), _u8076))), _u8077)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_zadd__int ( axiom ) converted to clauses:
% 39.89/40.06 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), _u8078)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8079)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8078), _u8079))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_zle__int ( axiom ) converted to clauses:
% 39.89/40.06 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), _u8082)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8084))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8082), _u8084)) )).
% 39.89/40.06 cnf(fact_zle__int-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8083), _u8085)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8083)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8085))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_zmult__int ( axiom ) converted to clauses:
% 39.89/40.06 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), _u8086)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8087)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u8086), _u8087))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_int__mult ( axiom ) converted to clauses:
% 39.89/40.06 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), _u8088), _u8089)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8088)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8089))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_int__1 ( axiom ) converted to clauses:
% 39.89/40.06 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)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_inj__int ( axiom ) converted to clauses:
% 39.89/40.06 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))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_int__setsum ( axiom ) converted to clauses:
% 39.89/40.06 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(_u8090, tc_Nat_Onat), _u8091), _u8092)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8090, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u8090), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u8091)), _u8092)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_int__Suc0__eq__1 ( axiom ) converted to clauses:
% 39.89/40.06 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)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_zmult__zless__mono2__lemma ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_zmult__zless__mono2__lemma-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8093), _u8094)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8095)) | 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), _u8095)), _u8093)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8095)), _u8094))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_zero__less__int__conv ( axiom ) converted to clauses:
% 39.89/40.06 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), _u8097))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8097)) )).
% 39.89/40.06 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)), _u8098)) | 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), _u8098))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_zero__le__imp__of__nat ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_zero__le__imp__of__nat-1, axiom, ( ~class_Rings_Olinordered__semidom(_u8099) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8099), c_Groups_Ozero__class_Ozero(_u8099)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8099), _u8100))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_of__nat__0__le__iff ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_of__nat__0__le__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u8101) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8101), c_Groups_Ozero__class_Ozero(_u8101)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8101), _u8102))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_zdiff__int ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_zdiff__int-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8103), _u8104)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8104)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8103)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8104), _u8103))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_of__nat__less__0__iff ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_of__nat__less__0__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u8105) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8105), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8105), _u8106)), c_Groups_Ozero__class_Ozero(_u8105))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_of__nat__0 ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_of__nat__0-1, axiom, ( ~class_Rings_Osemiring__1(_u8107) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8107), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(_u8107)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_of__nat__less__iff ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_of__nat__less__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u8108) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8108), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8108), _u8109)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8108), _u8110))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8109), _u8110)) )).
% 39.89/40.06 cnf(fact_of__nat__less__iff-2, axiom, ( ~class_Rings_Olinordered__semidom(_u8108) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8109), _u8110)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8108), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8108), _u8109)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8108), _u8110))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_less__imp__of__nat__less ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_less__imp__of__nat__less-1, axiom, ( ~class_Rings_Olinordered__semidom(_u8111) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8112), _u8113)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8111), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8111), _u8112)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8111), _u8113))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_of__nat__less__imp__less ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_of__nat__less__imp__less-1, axiom, ( ~class_Rings_Olinordered__semidom(_u8114) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8114), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8114), _u8115)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8114), _u8116))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8115), _u8116)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_of__nat__le__iff ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_of__nat__le__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u8117) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8117), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8117), _u8118)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8117), _u8119))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8118), _u8119)) )).
% 39.89/40.06 cnf(fact_of__nat__le__iff-2, axiom, ( ~class_Rings_Olinordered__semidom(_u8117) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8118), _u8119)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8117), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8117), _u8118)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8117), _u8119))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_of__nat__add ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_of__nat__add-1, axiom, ( ~class_Rings_Osemiring__1(_u8120) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8120), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8121), _u8122)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8120), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8120), _u8121)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8120), _u8122))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_of__nat__mult ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_of__nat__mult-1, axiom, ( ~class_Rings_Osemiring__1(_u8123) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8123), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u8124), _u8125)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8123), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8123), _u8124)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8123), _u8125))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_of__nat__1 ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_of__nat__1-1, axiom, ( ~class_Rings_Osemiring__1(_u8126) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8126), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u8126)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_of__nat__setsum ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_of__nat__setsum-1, axiom, ( ~class_Rings_Osemiring__1(_u8127) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8127), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8128, tc_Nat_Onat), _u8129), _u8130)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8128, _u8127), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u8127, _u8128), c_Nat_Osemiring__1__class_Oof__nat(_u8127)), _u8129)), _u8130)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_inj__of__nat ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_inj__of__nat-1, axiom, ( ~class_Nat_Osemiring__char__0(_u8131) | c_Fun_Oinj__on(tc_Nat_Onat, _u8131, c_Nat_Osemiring__1__class_Oof__nat(_u8131), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_Ints__0 ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_Ints__0-1, axiom, ( ~class_Rings_Oring__1(_u8132) | hBOOL(hAPP(hAPP(c_member(_u8132), c_Groups_Ozero__class_Ozero(_u8132)), c_Int_Oring__1__class_OInts(_u8132))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_Ints__add ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_Ints__add-1, axiom, ( ~class_Rings_Oring__1(_u8133) | ~hBOOL(hAPP(hAPP(c_member(_u8133), _u8134), c_Int_Oring__1__class_OInts(_u8133))) | ~hBOOL(hAPP(hAPP(c_member(_u8133), _u8135), c_Int_Oring__1__class_OInts(_u8133))) | hBOOL(hAPP(hAPP(c_member(_u8133), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8133), _u8134), _u8135)), c_Int_Oring__1__class_OInts(_u8133))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_Ints__mult ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_Ints__mult-1, axiom, ( ~class_Rings_Oring__1(_u8136) | ~hBOOL(hAPP(hAPP(c_member(_u8136), _u8137), c_Int_Oring__1__class_OInts(_u8136))) | ~hBOOL(hAPP(hAPP(c_member(_u8136), _u8138), c_Int_Oring__1__class_OInts(_u8136))) | hBOOL(hAPP(hAPP(c_member(_u8136), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8136), _u8137), _u8138)), c_Int_Oring__1__class_OInts(_u8136))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_Ints__diff ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_Ints__diff-1, axiom, ( ~class_Rings_Oring__1(_u8139) | ~hBOOL(hAPP(hAPP(c_member(_u8139), _u8140), c_Int_Oring__1__class_OInts(_u8139))) | ~hBOOL(hAPP(hAPP(c_member(_u8139), _u8141), c_Int_Oring__1__class_OInts(_u8139))) | hBOOL(hAPP(hAPP(c_member(_u8139), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8139), _u8140), _u8141)), c_Int_Oring__1__class_OInts(_u8139))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_Ints__1 ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_Ints__1-1, axiom, ( ~class_Rings_Oring__1(_u8142) | hBOOL(hAPP(hAPP(c_member(_u8142), c_Groups_Oone__class_Oone(_u8142)), c_Int_Oring__1__class_OInts(_u8142))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_Ints__minus ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_Ints__minus-1, axiom, ( ~class_Rings_Oring__1(_u8143) | ~hBOOL(hAPP(hAPP(c_member(_u8143), _u8144), c_Int_Oring__1__class_OInts(_u8143))) | hBOOL(hAPP(hAPP(c_member(_u8143), hAPP(c_Groups_Ouminus__class_Ouminus(_u8143), _u8144)), c_Int_Oring__1__class_OInts(_u8143))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_of__nat__Suc ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_of__nat__Suc-1, axiom, ( ~class_Rings_Osemiring__1(_u8145) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8145), hAPP(c_Nat_OSuc, _u8146)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8145), c_Groups_Oone__class_Oone(_u8145)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8145), _u8146))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_of__nat__diff ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_of__nat__diff-1, axiom, ( ~class_Rings_Oring__1(_u8147) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8148), _u8149)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8147), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8149), _u8148)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8147), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8147), _u8149)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8147), _u8148))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_option_Osize_I1_J ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_option_Osize_I1_J-1, axiom, ( ( c_Option_Ooption_Ooption__size(_u8150, _u8151, c_Option_Ooption_ONone(_u8150)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_setsum__constant ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_setsum__constant-1, axiom, ( ~class_Rings_Osemiring__1(_u8152) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8153, _u8152), hAPP(c_COMBK(_u8152, _u8153), _u8154)), _u8155) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8152), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8152), hAPP(c_Finite__Set_Ocard(_u8153), _u8155))), _u8154)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_com_Osize_I2_J ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_com_Osize_I2_J-1, axiom, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OAss(_u8156, _u8157)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_com_Osize_I1_J ( axiom ) converted to clauses:
% 39.89/40.06 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)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_of__nat__0__less__iff ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_of__nat__0__less__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u8158) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8158), c_Groups_Ozero__class_Ozero(_u8158)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8158), _u8159))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8159)) )).
% 39.89/40.06 cnf(fact_of__nat__0__less__iff-2, axiom, ( ~class_Rings_Olinordered__semidom(_u8158) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8159)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8158), c_Groups_Ozero__class_Ozero(_u8158)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8158), _u8159))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_Ints__double__eq__0__iff ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_Ints__double__eq__0__iff-1, axiom, ( ~class_Int_Oring__char__0(_u8160) | ~hBOOL(hAPP(hAPP(c_member(_u8160), _u8161), c_Int_Oring__1__class_OInts(_u8160))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8160), _u8161), _u8161) != c_Groups_Ozero__class_Ozero(_u8160)) | ( _u8161 = c_Groups_Ozero__class_Ozero(_u8160)) )).
% 39.89/40.06 cnf(fact_Ints__double__eq__0__iff-2, axiom, ( ~class_Int_Oring__char__0(_u8160) | ~hBOOL(hAPP(hAPP(c_member(_u8160), _u8161), c_Int_Oring__1__class_OInts(_u8160))) | ( _u8161 != c_Groups_Ozero__class_Ozero(_u8160)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8160), _u8161), _u8161) = c_Groups_Ozero__class_Ozero(_u8160)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_Ints__odd__nonzero ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_Ints__odd__nonzero-1, axiom, ( ~class_Int_Oring__char__0(_u8162) | ~hBOOL(hAPP(hAPP(c_member(_u8162), _u8163), c_Int_Oring__1__class_OInts(_u8162))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8162), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8162), c_Groups_Oone__class_Oone(_u8162)), _u8163)), _u8163) != c_Groups_Ozero__class_Ozero(_u8162)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_com_Osize_I6_J ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_com_Osize_I6_J-1, axiom, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OWhile(_u8164, _u8165)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Com_Ocom_Ocom__size(_u8165)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_com_Osize_I5_J ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_com_Osize_I5_J-1, axiom, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OCond(_u8166, _u8167, _u8168)) = 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(_u8167)), c_Com_Ocom_Ocom__size(_u8168))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_semiring__1__class_Oof__nat__code ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_semiring__1__class_Oof__nat__code-1, axiom, ( ~class_Rings_Osemiring__1(_u8169) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8169), _u8170) = c_Nat_Osemiring__1__class_Oof__nat__aux(_u8169, hAPP(hAPP(c_COMBC(_u8169, _u8169, _u8169), c_Groups_Oplus__class_Oplus(_u8169)), c_Groups_Oone__class_Oone(_u8169)), _u8170, c_Groups_Ozero__class_Ozero(_u8169))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_zdiff__int__split ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_zdiff__int__split-1, axiom, ( ~hBOOL(hAPP(_u8174, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8176), _u8178)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8178), _u8176)) | hBOOL(hAPP(_u8174, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8176)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8178)))) )).
% 39.89/40.06 cnf(fact_zdiff__int__split-2, axiom, ( ~hBOOL(hAPP(_u8174, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8176), _u8178)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8176), _u8178)) | hBOOL(hAPP(_u8174, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.89/40.06 cnf(fact_zdiff__int__split-3, axiom, ( hBOOL(hAPP(_u8175, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8177), _u8179)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8179), _u8177)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8177), _u8179)) )).
% 39.89/40.06 cnf(fact_zdiff__int__split-4, axiom, ( hBOOL(hAPP(_u8175, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8177), _u8179)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8179), _u8177)) | ~hBOOL(hAPP(_u8175, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.89/40.06 cnf(fact_zdiff__int__split-5, axiom, ( hBOOL(hAPP(_u8175, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8177), _u8179)))) | ~hBOOL(hAPP(_u8175, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8177)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8179)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8177), _u8179)) )).
% 39.89/40.06 cnf(fact_zdiff__int__split-6, axiom, ( hBOOL(hAPP(_u8175, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8177), _u8179)))) | ~hBOOL(hAPP(_u8175, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8177)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8179)))) | ~hBOOL(hAPP(_u8175, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_nat_Osize_I2_J ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_nat_Osize_I2_J-1, axiom, ( ( c_Nat_Onat_Onat__size(hAPP(c_Nat_OSuc, _u8180)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Nat_Onat_Onat__size(_u8180)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_in__measure ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_in__measure-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u8191, _u8187)), hAPP(_u8191, _u8189))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8185, _u8185)), hAPP(hAPP(c_Product__Type_OPair(_u8185, _u8185), _u8187), _u8189)), hAPP(c_Wellfounded_Omeasure(_u8185), _u8191))) )).
% 39.89/40.06 cnf(fact_in__measure-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u8192, _u8188)), hAPP(_u8192, _u8190))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u8186, _u8186)), hAPP(hAPP(c_Product__Type_OPair(_u8186, _u8186), _u8188), _u8190)), hAPP(c_Wellfounded_Omeasure(_u8186), _u8192))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_mlex__leq ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_mlex__leq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(_u8193, _u8194)), hAPP(_u8193, _u8195))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8196, _u8196)), hAPP(hAPP(c_Product__Type_OPair(_u8196, _u8196), _u8194), _u8195)), _u8197)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u8196, _u8196)), hAPP(hAPP(c_Product__Type_OPair(_u8196, _u8196), _u8194), _u8195)), c_Wellfounded_Omlex__prod(_u8196, _u8193, _u8197))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_negative__zle ( axiom ) converted to clauses:
% 39.89/40.06 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), _u8198))), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8199))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_negative__zle__0 ( axiom ) converted to clauses:
% 39.89/40.06 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), _u8200))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_zero__zle__int ( axiom ) converted to clauses:
% 39.89/40.06 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), _u8201))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_int__less__0__conv ( axiom ) converted to clauses:
% 39.89/40.06 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), _u8202)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_int__int__eq ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_int__int__eq-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8205) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8207)) | ( _u8205 = _u8207) )).
% 39.89/40.06 cnf(fact_int__int__eq-2, axiom, ( ( _u8206 != _u8208) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8206) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8208)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_not__int__zless__negative ( axiom ) converted to clauses:
% 39.89/40.06 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), _u8209)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8210)))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_zle__iff__zadd ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_zle__iff__zadd-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8215), _u8217)) | ( _u8217 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8215), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem153(_u8217, _u8215)))) )).
% 39.89/40.06 cnf(fact_zle__iff__zadd-2, axiom, ( ( _u8218 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8216), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8212))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8216), _u8218)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_zadd__zmult__distrib ( axiom ) converted to clauses:
% 39.89/40.06 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), _u8219), _u8220)), _u8221) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8219), _u8221)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8220), _u8221))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_zadd__zmult__distrib2 ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_zadd__zmult__distrib2-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8222), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8223), _u8224)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8222), _u8223)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8222), _u8224))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_zmult__1 ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_zmult__1-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u8225) = _u8225) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_zmult__1__right ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_zmult__1__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8226), c_Groups_Oone__class_Oone(tc_Int_Oint)) = _u8226) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_zmult__zminus ( axiom ) converted to clauses:
% 39.89/40.06 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), _u8227)), _u8228) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8227), _u8228))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_zdiff__zmult__distrib ( axiom ) converted to clauses:
% 39.89/40.06 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), _u8229), _u8230)), _u8231) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8229), _u8231)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8230), _u8231))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_zdiff__zmult__distrib2 ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_zdiff__zmult__distrib2-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8232), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8233), _u8234)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8232), _u8233)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8232), _u8234))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_zmult__assoc ( axiom ) converted to clauses:
% 39.89/40.06 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), _u8235), _u8236)), _u8237) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8235), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8236), _u8237))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_zmult__commute ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_zmult__commute-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8238), _u8239) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8239), _u8238)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_zadd__zless__mono ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_zadd__zless__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8240), _u8241)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8242), _u8243)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8240), _u8242)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8241), _u8243))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_zadd__left__mono ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_zadd__left__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8244), _u8245)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8246), _u8244)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8246), _u8245))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_diff__int__def__symmetric ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_diff__int__def__symmetric-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8247), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8248)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8247), _u8248)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_diff__int__def ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_diff__int__def-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8249), _u8250) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8249), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8250))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_zminus__zadd__distrib ( axiom ) converted to clauses:
% 39.89/40.06 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), _u8251), _u8252)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8251)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8252))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_zadd__strict__right__mono ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_zadd__strict__right__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8253), _u8254)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8253), _u8255)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8254), _u8255))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_zadd__assoc ( axiom ) converted to clauses:
% 39.89/40.06 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), _u8256), _u8257)), _u8258) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8256), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8257), _u8258))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_zadd__left__commute ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_zadd__left__commute-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8259), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8260), _u8261)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8260), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8259), _u8261))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_zadd__commute ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_zadd__commute-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8262), _u8263) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8263), _u8262)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_zless__le ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_zless__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8266), _u8268)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8266), _u8268)) )).
% 39.89/40.06 cnf(fact_zless__le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8266), _u8268)) | ( _u8266 != _u8268) )).
% 39.89/40.06 cnf(fact_zless__le-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8267), _u8269)) | ( _u8267 = _u8269) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8267), _u8269)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_zle__antisym ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_zle__antisym-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8270), _u8271)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8271), _u8270)) | ( _u8270 = _u8271) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_zle__trans ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_zle__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8272), _u8273)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8273), _u8274)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8272), _u8274)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_zle__linear ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_zle__linear-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8275), _u8276)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8276), _u8275)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_zle__refl ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_zle__refl-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8277), _u8277)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_zminus__zminus ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_zminus__zminus-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8278)) = _u8278) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_zless__linear ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_zless__linear-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8279), _u8280)) | ( _u8279 = _u8280) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8280), _u8279)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_zle__diff1__eq ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_zle__diff1__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8283), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8285), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8283), _u8285)) )).
% 39.89/40.06 cnf(fact_zle__diff1__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8284), _u8286)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8284), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8286), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_zless__add1__eq ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_zless__add1__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8289), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8291), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8289), _u8291)) | ( _u8289 = _u8291) )).
% 39.89/40.06 cnf(fact_zless__add1__eq-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8290), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8292), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8290), _u8292)) )).
% 39.89/40.06 cnf(fact_zless__add1__eq-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8290), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8292), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | ( _u8290 != _u8292) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_zless__imp__add1__zle ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_zless__imp__add1__zle-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8293), _u8294)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8293), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u8294)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_add1__zle__eq ( axiom ) converted to clauses:
% 39.89/40.06 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), _u8297), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u8299)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8297), _u8299)) )).
% 39.89/40.06 cnf(fact_add1__zle__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8298), _u8300)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8298), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u8300)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_zle__add1__eq__le ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_zle__add1__eq__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8303), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8305), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8303), _u8305)) )).
% 39.89/40.06 cnf(fact_zle__add1__eq__le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8304), _u8306)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8304), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8306), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_le__imp__0__less ( axiom ) converted to clauses:
% 39.89/40.06 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)), _u8307)) | 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)), _u8307))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_odd__less__0 ( axiom ) converted to clauses:
% 39.89/40.06 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)), _u8309)), _u8309)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8309), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.89/40.06 cnf(fact_odd__less__0-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8310), 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)), _u8310)), _u8310)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_odd__nonzero ( axiom ) converted to clauses:
% 39.89/40.06 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)), _u8311)), _u8311) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_int__0__neq__1 ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_int__0__neq__1-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_int__0__less__1 ( axiom ) converted to clauses:
% 39.89/40.06 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))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_int__one__le__iff__zero__less ( axiom ) converted to clauses:
% 39.89/40.06 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)), _u8313)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8313)) )).
% 39.89/40.06 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)), _u8314)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u8314)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_less__bin__lemma ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_less__bin__lemma-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8317), _u8319)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8317), _u8319)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.89/40.06 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), _u8318), _u8320)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8318), _u8320)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_zminus__0 ( axiom ) converted to clauses:
% 39.89/40.06 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)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_zadd__0 ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_zadd__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8321) = _u8321) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_zadd__0__right ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_zadd__0__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8322), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = _u8322) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_zadd__zminus__inverse2 ( axiom ) converted to clauses:
% 39.89/40.06 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), _u8323)), _u8323) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_zmult__zless__mono2 ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_zmult__zless__mono2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8324), _u8325)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8326)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8326), _u8324)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8326), _u8325))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_pos__zmult__eq__1__iff ( axiom ) converted to clauses:
% 39.89/40.06 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)), _u8327)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8327), _u8328) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u8327 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 39.89/40.06 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)), _u8327)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8327), _u8328) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u8328 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 39.89/40.06 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)), _u8327)) | ( _u8327 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u8328 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8327), _u8328) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_of__nat__aux_Osimps_I1_J ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_of__nat__aux_Osimps_I1_J-1, axiom, ( ~class_Rings_Osemiring__1(_u8329) | ( c_Nat_Osemiring__1__class_Oof__nat__aux(_u8329, _u8330, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u8331) = _u8331) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_of__nat__aux_Osimps_I2_J ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_of__nat__aux_Osimps_I2_J-1, axiom, ( ~class_Rings_Osemiring__1(_u8332) | ( c_Nat_Osemiring__1__class_Oof__nat__aux(_u8332, _u8333, hAPP(c_Nat_OSuc, _u8334), _u8335) = c_Nat_Osemiring__1__class_Oof__nat__aux(_u8332, _u8333, _u8334, hAPP(_u8333, _u8335))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_nat_Osize_I1_J ( axiom ) converted to clauses:
% 39.89/40.06 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)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_mlex__less ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_mlex__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u8336, _u8337)), hAPP(_u8336, _u8338))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u8339, _u8339)), hAPP(hAPP(c_Product__Type_OPair(_u8339, _u8339), _u8337), _u8338)), c_Wellfounded_Omlex__prod(_u8339, _u8336, _u8340))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_self__quotient__aux1 ( axiom ) converted to clauses:
% 39.89/40.06 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)), _u8341)) | ( _u8341 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8342), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8341), _u8343))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8342), _u8341)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u8343)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_self__quotient__aux2 ( axiom ) converted to clauses:
% 39.89/40.06 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)), _u8344)) | ( _u8344 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8345), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8344), _u8346))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8345)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8346), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_zdiv__mono2__neg__lemma ( axiom ) converted to clauses:
% 39.89/40.06 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), _u8347), _u8348)), _u8349) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8350), _u8351)), _u8352)) | ~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), _u8350), _u8351)), _u8352)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8349), _u8347)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8352)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8350)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8350), _u8347)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8351), _u8348)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_unique__quotient__lemma__neg ( axiom ) converted to clauses:
% 39.89/40.06 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), _u8353), _u8354)), _u8355)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8353), _u8356)), _u8357))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8357), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8353), _u8357)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8353), _u8355)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8356), _u8354)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_zdiv__mono2__lemma ( axiom ) converted to clauses:
% 39.89/40.06 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), _u8358), _u8359)), _u8360) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8361), _u8362)), _u8363)) | ~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), _u8361), _u8362)), _u8363))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8363), _u8361)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8360)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8361)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8361), _u8358)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8359), _u8362)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_q__pos__lemma ( axiom ) converted to clauses:
% 39.89/40.06 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), _u8364), _u8365)), _u8366))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8366), _u8364)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8364)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8365)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_q__neg__lemma ( axiom ) converted to clauses:
% 39.89/40.06 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), _u8367), _u8368)), _u8369)), 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)), _u8369)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8367)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8368), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_unique__quotient__lemma ( axiom ) converted to clauses:
% 39.89/40.06 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), _u8370), _u8371)), _u8372)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8370), _u8373)), _u8374))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8372)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8372), _u8370)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8374), _u8370)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8371), _u8373)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__functions_I5_J ( axiom ) converted to clauses:
% 39.89/40.06 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)))), _u8375)) = 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), _u8375), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_transfer__int__nat__numerals_I2_J ( axiom ) converted to clauses:
% 39.89/40.06 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))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_Nat__Transfer_Otransfer__int__nat__functions_I2_J ( axiom ) converted to clauses:
% 39.89/40.06 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), _u8376)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8377)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u8376), _u8377))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_Nat__Transfer_Otransfer__int__nat__functions_I1_J ( axiom ) converted to clauses:
% 39.89/40.06 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), _u8378)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8379)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8378), _u8379))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_transfer__int__nat__relations_I3_J ( axiom ) converted to clauses:
% 39.89/40.06 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), _u8382)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8384))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8382), _u8384)) )).
% 39.89/40.06 cnf(fact_transfer__int__nat__relations_I3_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8383), _u8385)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8383)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8385))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_transfer__nat__int__set__relations_I5_J ( axiom ) converted to clauses:
% 39.89/40.06 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)), _u8388), _u8390)) | 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)), _u8388)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u8390))) )).
% 39.89/40.06 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)), _u8389)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u8391))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u8389), _u8391)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_transfer__nat__int__set__relations_I3_J ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_transfer__nat__int__set__relations_I3_J-1, axiom, ( ( _u8394 != _u8396) | ( hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u8394) = hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u8396)) )).
% 39.89/40.06 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)), _u8395) != hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u8397)) | ( _u8395 = _u8397) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_transfer__nat__int__set__relations_I4_J ( axiom ) converted to clauses:
% 39.89/40.06 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)), _u8400), _u8402)) | 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)), _u8400)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u8402))) )).
% 39.89/40.06 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)), _u8401)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u8403))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u8401), _u8403)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_transfer__int__nat__relations_I1_J ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_transfer__int__nat__relations_I1_J-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8406) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8408)) | ( _u8406 = _u8408) )).
% 39.89/40.06 cnf(fact_transfer__int__nat__relations_I1_J-2, axiom, ( ( _u8407 != _u8409) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8407) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8409)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J ( axiom ) converted to clauses:
% 39.89/40.06 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))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_transfer__nat__int__set__relations_I2_J ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_transfer__nat__int__set__relations_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u8412), _u8414)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8412)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u8414))) )).
% 39.89/40.06 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), _u8413)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u8415))) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u8413), _u8415)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__functions_I2_J ( axiom ) converted to clauses:
% 39.89/40.06 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)))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_Nat__Transfer_Otransfer__nat__int__set__functions_I1_J ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I1_J-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), _u8416) = 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)), _u8416))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_transfer__nat__int__set__relations_I1_J ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_transfer__nat__int__set__relations_I1_J-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u8418)) | 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)), _u8418))) )).
% 39.89/40.06 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)), _u8419))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u8419)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_transfer__int__nat__numerals_I1_J ( axiom ) converted to clauses:
% 39.89/40.06 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))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J ( axiom ) converted to clauses:
% 39.89/40.06 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)), _u8420)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8421)) | 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), _u8420), _u8421))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_transfer__int__nat__quantifiers_I1_J ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_transfer__int__nat__quantifiers_I1_J-1, axiom, ( hBOOL(hAPP(_u8427, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8423))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem154(_u8427))) )).
% 39.89/40.06 cnf(fact_transfer__int__nat__quantifiers_I1_J-2, axiom, ( hBOOL(hAPP(_u8427, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8423))) | ~hBOOL(hAPP(_u8427, skolem154(_u8427))) )).
% 39.89/40.06 cnf(fact_transfer__int__nat__quantifiers_I1_J-3, axiom, ( ~hBOOL(hAPP(_u8428, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem155(_u8428)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8425)) | hBOOL(hAPP(_u8428, _u8425)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_transfer__int__nat__quantifiers_I2_J ( axiom ) converted to clauses:
% 39.89/40.06 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)), _u8429)) | ~hBOOL(hAPP(_u8434, _u8429)) | hBOOL(hAPP(_u8434, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem156(_u8434)))) )).
% 39.89/40.06 cnf(fact_transfer__int__nat__quantifiers_I2_J-2, axiom, ( ~hBOOL(hAPP(_u8435, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8431))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem157(_u8435))) )).
% 39.89/40.06 cnf(fact_transfer__int__nat__quantifiers_I2_J-3, axiom, ( ~hBOOL(hAPP(_u8435, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8431))) | hBOOL(hAPP(_u8435, skolem157(_u8435))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I9_J ( axiom ) converted to clauses:
% 39.89/40.06 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), _u8436))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J ( axiom ) converted to clauses:
% 39.89/40.06 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))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J ( axiom ) converted to clauses:
% 39.89/40.06 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)), _u8437)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8438)) | 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), _u8437), _u8438))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_transfer__int__nat__relations_I2_J ( axiom ) converted to clauses:
% 39.89/40.06 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), _u8441)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8443))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8441), _u8443)) )).
% 39.89/40.06 cnf(fact_transfer__int__nat__relations_I2_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8442), _u8444)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8442)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8444))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_nat_Osize_I4_J ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_nat_Osize_I4_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8445)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat), _u8445)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_small_H_Osimps ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_small_H_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8449), _u8451)) | ( c_Smallcheck_Osmall_H(_u8453, _u8449, _u8451) = c_Option_Ooption_ONone(tc_List_Olist(tc_Code__Evaluation_Oterm))) )).
% 39.89/40.06 cnf(fact_small_H_Osimps-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8450), _u8452)) | ( c_Smallcheck_Osmall_H(_u8454, _u8450, _u8452) = hAPP(c_Option_Ooption_Ooption__case(tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm)), tc_List_Olist(tc_Code__Evaluation_Oterm), c_Smallcheck_Osmall_H(_u8454, _u8450, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8452), c_Groups_Oone__class_Oone(tc_Int_Oint))), c_Option_Ooption_OSome(tc_List_Olist(tc_Code__Evaluation_Oterm))), hAPP(_u8454, _u8452))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_setsum__bounded ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_setsum__bounded-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add(_u8456) | ~class_Rings_Osemiring__1(_u8456) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8456), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8457, _u8456), _u8459), _u8458)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8456), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8456), hAPP(c_Finite__Set_Ocard(_u8457), _u8458))), _u8460))) | hBOOL(hAPP(hAPP(c_member(_u8457), skolem158(_u8460, _u8459, _u8458, _u8457, _u8456)), _u8458)) )).
% 39.89/40.06 cnf(fact_setsum__bounded-2, axiom, ( ~class_Groups_Oordered__ab__semigroup__add(_u8456) | ~class_Rings_Osemiring__1(_u8456) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8456), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8457, _u8456), _u8459), _u8458)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8456), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8456), hAPP(c_Finite__Set_Ocard(_u8457), _u8458))), _u8460))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8456), hAPP(_u8459, skolem158(_u8460, _u8459, _u8458, _u8457, _u8456))), _u8460)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_tsub__def ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_tsub__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8463), _u8465)) | ( c_Nat__Transfer_Otsub(_u8465, _u8463) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8465), _u8463)) )).
% 39.89/40.06 cnf(fact_tsub__def-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8464), _u8466)) | ( c_Nat__Transfer_Otsub(_u8466, _u8464) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_option_Osize_I4_J ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_option_Osize_I4_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Option_Ooption(_u8467)), hAPP(c_Option_Ooption_OSome(_u8467), _u8468)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_infinite__UNIV__int ( axiom ) converted to clauses:
% 39.89/40.06 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)))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_nat__size ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_nat__size-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat), _u8469) = _u8469) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_nat_Osize_I3_J ( axiom ) converted to clauses:
% 39.89/40.06 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)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I3_J ( axiom ) converted to clauses:
% 39.89/40.06 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)), _u8470)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8471)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Nat__Transfer_Otsub(_u8470, _u8471))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_tsub__eq ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_tsub__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8472), _u8473)) | ( c_Nat__Transfer_Otsub(_u8473, _u8472) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8473), _u8472)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_Nat__Transfer_Otransfer__int__nat__functions_I3_J ( axiom ) converted to clauses:
% 39.89/40.06 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), _u8474), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8475)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8474), _u8475))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_option_Osize_I3_J ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_option_Osize_I3_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Option_Ooption(_u8476)), c_Option_Ooption_ONone(_u8476)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_small_H_Opsimps ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_small_H_Opsimps-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_fun(tc_Int_Oint, tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))), tc_prod(tc_Int_Oint, tc_Int_Oint)), c_Smallcheck_Osmall_H__rel), hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_Int_Oint, tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))), tc_prod(tc_Int_Oint, tc_Int_Oint)), _u8477), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8478), _u8479)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8478), _u8479)) | ( c_Smallcheck_Osmall_H(_u8477, _u8478, _u8479) = c_Option_Ooption_ONone(tc_List_Olist(tc_Code__Evaluation_Oterm))) )).
% 39.89/40.06 cnf(fact_small_H_Opsimps-2, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_fun(tc_Int_Oint, tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))), tc_prod(tc_Int_Oint, tc_Int_Oint)), c_Smallcheck_Osmall_H__rel), hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_Int_Oint, tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))), tc_prod(tc_Int_Oint, tc_Int_Oint)), _u8477), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8478), _u8479)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8478), _u8479)) | ( c_Smallcheck_Osmall_H(_u8477, _u8478, _u8479) = hAPP(c_Option_Ooption_Ooption__case(tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm)), tc_List_Olist(tc_Code__Evaluation_Oterm), c_Smallcheck_Osmall_H(_u8477, _u8478, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8479), c_Groups_Oone__class_Oone(tc_Int_Oint))), c_Option_Ooption_OSome(tc_List_Olist(tc_Code__Evaluation_Oterm))), hAPP(_u8477, _u8479))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_image__minus__const__atLeastLessThan__nat ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_image__minus__const__atLeastLessThan__nat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8483), _u8485)) | ( 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)), _u8483)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8487), _u8485)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8487), _u8483)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8485), _u8483))) )).
% 39.89/40.06 cnf(fact_image__minus__const__atLeastLessThan__nat-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8484), _u8486)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8488), _u8486)) | ( 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)), _u8484)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8488), _u8486)) = 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)))) )).
% 39.89/40.06 cnf(fact_image__minus__const__atLeastLessThan__nat-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8484), _u8486)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8488), _u8486)) | ( 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)), _u8484)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8488), _u8486)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_in__lex__prod ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_in__lex__prod-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u8497, _u8499), tc_prod(_u8497, _u8499))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u8497, _u8499), tc_prod(_u8497, _u8499)), hAPP(hAPP(c_Product__Type_OPair(_u8497, _u8499), _u8501), _u8503)), hAPP(hAPP(c_Product__Type_OPair(_u8497, _u8499), _u8505), _u8507))), c_Wellfounded_Olex__prod(_u8497, _u8499, _u8509, _u8511))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u8497, _u8497)), hAPP(hAPP(c_Product__Type_OPair(_u8497, _u8497), _u8501), _u8505)), _u8509)) | ( _u8501 = _u8505) )).
% 39.89/40.06 cnf(fact_in__lex__prod-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u8497, _u8499), tc_prod(_u8497, _u8499))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u8497, _u8499), tc_prod(_u8497, _u8499)), hAPP(hAPP(c_Product__Type_OPair(_u8497, _u8499), _u8501), _u8503)), hAPP(hAPP(c_Product__Type_OPair(_u8497, _u8499), _u8505), _u8507))), c_Wellfounded_Olex__prod(_u8497, _u8499, _u8509, _u8511))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u8497, _u8497)), hAPP(hAPP(c_Product__Type_OPair(_u8497, _u8497), _u8501), _u8505)), _u8509)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u8499, _u8499)), hAPP(hAPP(c_Product__Type_OPair(_u8499, _u8499), _u8503), _u8507)), _u8511)) )).
% 39.89/40.06 cnf(fact_in__lex__prod-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u8498, _u8500), tc_prod(_u8498, _u8500))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u8498, _u8500), tc_prod(_u8498, _u8500)), hAPP(hAPP(c_Product__Type_OPair(_u8498, _u8500), _u8502), _u8504)), hAPP(hAPP(c_Product__Type_OPair(_u8498, _u8500), _u8506), _u8508))), c_Wellfounded_Olex__prod(_u8498, _u8500, _u8510, _u8512))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8498, _u8498)), hAPP(hAPP(c_Product__Type_OPair(_u8498, _u8498), _u8502), _u8506)), _u8510)) )).
% 39.89/40.06 cnf(fact_in__lex__prod-4, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u8498, _u8500), tc_prod(_u8498, _u8500))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u8498, _u8500), tc_prod(_u8498, _u8500)), hAPP(hAPP(c_Product__Type_OPair(_u8498, _u8500), _u8502), _u8504)), hAPP(hAPP(c_Product__Type_OPair(_u8498, _u8500), _u8506), _u8508))), c_Wellfounded_Olex__prod(_u8498, _u8500, _u8510, _u8512))) | ( _u8502 != _u8506) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8500, _u8500)), hAPP(hAPP(c_Product__Type_OPair(_u8500, _u8500), _u8504), _u8508)), _u8512)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_card__Pow ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_card__Pow-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8513), _u8514)) | ( hAPP(c_Finite__Set_Ocard(tc_fun(_u8513, tc_HOL_Obool)), hAPP(c_Set_OPow(_u8513), _u8514)) = 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(_u8513), _u8514))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_card__Plus__conv__if ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_card__Plus__conv__if-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8519), _u8521)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8523), _u8525)) | ( hAPP(c_Finite__Set_Ocard(tc_sum(_u8519, _u8523)), c_Sum__Type_OPlus(_u8519, _u8523, _u8521, _u8525)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u8519), _u8521)), hAPP(c_Finite__Set_Ocard(_u8523), _u8525))) )).
% 39.89/40.06 cnf(fact_card__Plus__conv__if-2, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_sum(_u8520, _u8524)), c_Sum__Type_OPlus(_u8520, _u8524, _u8522, _u8526)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8520), _u8522)) )).
% 39.89/40.06 cnf(fact_card__Plus__conv__if-3, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_sum(_u8520, _u8524)), c_Sum__Type_OPlus(_u8520, _u8524, _u8522, _u8526)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8524), _u8526)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_finite__atLeastLessThan ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_finite__atLeastLessThan-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8527), _u8528))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u8529) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8529), hAPP(hAPP(c_Power_Opower__class_Opower(_u8529), _u8530), _u8531)), _u8532) = hAPP(hAPP(c_Power_Opower__class_Opower(_u8529), _u8530), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u8531), _u8532))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_accp__downward ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_accp__downward-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u8533, _u8534), _u8535)) | ~hBOOL(hAPP(hAPP(_u8534, _u8536), _u8535)) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u8533, _u8534), _u8536)) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_accp_Oequations ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_accp_Oequations-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u8542, _u8544), _u8546)) | ~hBOOL(hAPP(hAPP(_u8544, _u8537), _u8546)) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u8542, _u8544), _u8537)) )).
% 39.89/40.06 cnf(fact_accp_Oequations-2, axiom, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u8543, _u8545), _u8547)) | hBOOL(hAPP(hAPP(_u8545, skolem159(_u8547, _u8545, _u8543)), _u8547)) )).
% 39.89/40.06 cnf(fact_accp_Oequations-3, axiom, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u8543, _u8545), _u8547)) | ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u8543, _u8545), skolem159(_u8547, _u8545, _u8543))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_accp_Osimps ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_accp_Osimps-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u8553, _u8555), _u8557)) | ~hBOOL(hAPP(hAPP(_u8555, _u8548), _u8557)) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u8553, _u8555), _u8548)) )).
% 39.89/40.06 cnf(fact_accp_Osimps-2, axiom, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u8554, _u8556), _u8558)) | hBOOL(hAPP(hAPP(_u8556, skolem160(_u8558, _u8556, _u8554)), _u8558)) )).
% 39.89/40.06 cnf(fact_accp_Osimps-3, axiom, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u8554, _u8556), _u8558)) | ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u8554, _u8556), skolem160(_u8558, _u8556, _u8554))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u8559) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8559), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8559), _u8560), _u8561)), _u8562) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8559), hAPP(hAPP(c_Power_Opower__class_Opower(_u8559), _u8560), _u8562)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8559), _u8561), _u8562))) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u8563) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8563), _u8564), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u8564) )).
% 39.89/40.06
% 39.89/40.06 % Formula: fact_atLeastLessThan__eq__iff ( axiom ) converted to clauses:
% 39.89/40.06 cnf(fact_atLeastLessThan__eq__iff-1, axiom, ( ~class_Orderings_Olinorder(_u8565) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8565), _u8566), _u8567)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8565), _u8568), _u8569)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8565, _u8566), _u8567) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8565, _u8568), _u8569)) | ( _u8566 = _u8568) )).
% 39.89/40.06 cnf(fact_atLeastLessThan__eq__iff-2, axiom, ( ~class_Orderings_Olinorder(_u8565) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8565), _u8566), _u8567)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8565), _u8568), _u8569)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8565, _u8566), _u8567) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8565, _u8568), _u8569)) | ( _u8567 = _u8569) )).
% 39.89/40.07 cnf(fact_atLeastLessThan__eq__iff-3, axiom, ( ~class_Orderings_Olinorder(_u8565) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8565), _u8566), _u8567)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8565), _u8568), _u8569)) | ( _u8566 != _u8568) | ( _u8567 != _u8569) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8565, _u8566), _u8567) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8565, _u8568), _u8569)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_atLeastLessThan__inj_I1_J ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_atLeastLessThan__inj_I1_J-1, axiom, ( ~class_Orderings_Olinorder(_u8570) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8570, _u8571), _u8572) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8570, _u8573), _u8574)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8570), _u8571), _u8572)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8570), _u8573), _u8574)) | ( _u8571 = _u8573) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_atLeastLessThan__inj_I2_J ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_atLeastLessThan__inj_I2_J-1, axiom, ( ~class_Orderings_Olinorder(_u8575) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8575, _u8576), _u8577) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8575, _u8578), _u8579)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8575), _u8576), _u8577)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8575), _u8578), _u8579)) | ( _u8577 = _u8579) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u8580) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8580), hAPP(hAPP(c_Power_Opower__class_Opower(_u8580), _u8581), _u8582)), _u8581) = hAPP(hAPP(c_Power_Opower__class_Opower(_u8580), _u8581), hAPP(c_Nat_OSuc, _u8582))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I27_J ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I27_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u8583) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8583), _u8584), hAPP(hAPP(c_Power_Opower__class_Opower(_u8583), _u8584), _u8585)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u8583), _u8584), hAPP(c_Nat_OSuc, _u8585))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u8586) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8586), _u8587), hAPP(c_Nat_OSuc, _u8588)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8586), _u8587), hAPP(hAPP(c_Power_Opower__class_Opower(_u8586), _u8587), _u8588))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u8589) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8589), _u8590), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u8589)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u8591) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8591), hAPP(hAPP(c_Power_Opower__class_Opower(_u8591), _u8592), _u8593)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8591), _u8592), _u8594)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u8591), _u8592), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8593), _u8594))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_atLeastLessThan__add__Un ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_atLeastLessThan__add__Un-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8595), _u8596)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8595), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8596), _u8597)) = 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, _u8595), _u8596)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8596), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8596), _u8597)))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_atLeastLessThan0 ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_atLeastLessThan0-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8598), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_Ints__power ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_Ints__power-1, axiom, ( ~class_Rings_Oring__1(_u8599) | ~hBOOL(hAPP(hAPP(c_member(_u8599), _u8600), c_Int_Oring__1__class_OInts(_u8599))) | hBOOL(hAPP(hAPP(c_member(_u8599), hAPP(hAPP(c_Power_Opower__class_Opower(_u8599), _u8600), _u8601)), c_Int_Oring__1__class_OInts(_u8599))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_atLeast0LessThan ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_atLeast0LessThan-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8602) = hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u8602)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_card__atLeastLessThan ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_card__atLeastLessThan-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8603), _u8604)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8604), _u8603)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_image__Suc__atLeastLessThan ( axiom ) converted to clauses:
% 39.89/40.07 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, _u8605), _u8606)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u8605)), hAPP(c_Nat_OSuc, _u8606))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_atLeastLessThan__empty ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_atLeastLessThan__empty-1, axiom, ( ~class_Orderings_Oorder(_u8607) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8607), _u8608), _u8609)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8607, _u8609), _u8608) = c_Orderings_Obot__class_Obot(tc_fun(_u8607, tc_HOL_Obool))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_atLeastLessThan__empty__iff2 ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_atLeastLessThan__empty__iff2-1, axiom, ( ~class_Orderings_Oorder(_u8610) | ( c_Orderings_Obot__class_Obot(tc_fun(_u8610, tc_HOL_Obool)) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8610, _u8611), _u8612)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8610), _u8611), _u8612)) )).
% 39.89/40.07 cnf(fact_atLeastLessThan__empty__iff2-2, axiom, ( ~class_Orderings_Oorder(_u8610) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8610), _u8611), _u8612)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u8610, tc_HOL_Obool)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8610, _u8611), _u8612)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_atLeastLessThan__empty__iff ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_atLeastLessThan__empty__iff-1, axiom, ( ~class_Orderings_Oorder(_u8613) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8613, _u8614), _u8615) != c_Orderings_Obot__class_Obot(tc_fun(_u8613, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8613), _u8614), _u8615)) )).
% 39.89/40.07 cnf(fact_atLeastLessThan__empty__iff-2, axiom, ( ~class_Orderings_Oorder(_u8613) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8613), _u8614), _u8615)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8613, _u8614), _u8615) = c_Orderings_Obot__class_Obot(tc_fun(_u8613, tc_HOL_Obool))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_atLeastLessThan__subset__iff ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_atLeastLessThan__subset__iff-1, axiom, ( ~class_Orderings_Olinorder(_u8616) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8616, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8616, _u8617), _u8618)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8616, _u8619), _u8620))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8616), _u8618), _u8617)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8616), _u8619), _u8617)) )).
% 39.89/40.07 cnf(fact_atLeastLessThan__subset__iff-2, axiom, ( ~class_Orderings_Olinorder(_u8616) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8616, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8616, _u8617), _u8618)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8616, _u8619), _u8620))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8616), _u8618), _u8617)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8616), _u8618), _u8620)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_setsum__shift__bounds__Suc__ivl ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_setsum__shift__bounds__Suc__ivl-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u8621) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8621), _u8622), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u8623)), hAPP(c_Nat_OSuc, _u8624))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8621), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u8621, tc_Nat_Onat), _u8622), c_Nat_OSuc)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8623), _u8624))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_ivl__disj__un_I17_J ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_ivl__disj__un_I17_J-1, axiom, ( ~class_Orderings_Olinorder(_u8625) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8625), _u8626), _u8627)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8625), _u8627), _u8628)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8625, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8625, _u8626), _u8627)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8625, _u8627), _u8628)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8625, _u8626), _u8628)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_setsum__shift__bounds__nat__ivl ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_setsum__shift__bounds__nat__ivl-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u8629) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8629), _u8630), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8631), _u8632)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8633), _u8632))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8629), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u8629, tc_Nat_Onat), _u8630), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u8632))), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8631), _u8633))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_ivl__diff ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_ivl__diff-1, axiom, ( ~class_Orderings_Olinorder(_u8634) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8634), _u8635), _u8636)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8634, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8634, _u8635), _u8637)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8634, _u8635), _u8636)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8634, _u8636), _u8637)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_ivl__disj__int_I11_J ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_ivl__disj__int_I11_J-1, axiom, ( ~class_Orderings_Oorder(_u8638) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8638, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8638, _u8639), _u8640)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8638, _u8640), _u8641)) = c_Orderings_Obot__class_Obot(tc_fun(_u8638, tc_HOL_Obool))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_image__add__atLeastLessThan ( axiom ) converted to clauses:
% 39.89/40.07 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)), _u8642)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8643), _u8644)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8643), _u8642)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8644), _u8642))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_setsum__add__nat__ivl ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_setsum__add__nat__ivl-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u8645) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8646), _u8647)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8647), _u8648)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8645), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8645), _u8649), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8646), _u8647))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8645), _u8649), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8647), _u8648))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8645), _u8649), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8646), _u8648))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_setsum__diff__nat__ivl ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_setsum__diff__nat__ivl-1, axiom, ( ~class_Groups_Oab__group__add(_u8650) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8651), _u8652)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8652), _u8653)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8650), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8650), _u8654), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8651), _u8653))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8650), _u8654), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8651), _u8652))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8650), _u8654), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8652), _u8653))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_accp__subset ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_accp__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8655, tc_fun(_u8655, tc_HOL_Obool))), _u8656), _u8657)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8655, tc_HOL_Obool)), c_Wellfounded_Oaccp(_u8655, _u8657)), c_Wellfounded_Oaccp(_u8655, _u8656))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_atLeastLessThan__singleton ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_atLeastLessThan__singleton-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8658), hAPP(c_Nat_OSuc, _u8658)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u8658), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_UN__UN__finite__eq ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_UN__UN__finite__eq-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8659, 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(_u8659, tc_HOL_Obool)), tc_fun(_u8659, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, tc_fun(_u8659, tc_HOL_Obool)), tc_fun(_u8659, tc_HOL_Obool)), tc_Nat_Onat), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8659, tc_HOL_Obool))), c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), _u8660)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8659, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u8660)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_ivl__disj__un_I8_J ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_ivl__disj__un_I8_J-1, axiom, ( ~class_Orderings_Olinorder(_u8661) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8661), _u8662), _u8663)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8661, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u8661), _u8662)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8661, _u8662), _u8663)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u8661), _u8663)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_subset__card__intvl__is__intvl ( axiom ) converted to clauses:
% 39.89/40.07 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)), _u8664), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8665), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8665), hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), _u8664))))) | ( _u8664 = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8665), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8665), hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), _u8664)))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_ivl__disj__int_I2_J ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_ivl__disj__int_I2_J-1, axiom, ( ~class_Orderings_Oorder(_u8666) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8666, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u8666), _u8667)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8666, _u8667), _u8668)) = c_Orderings_Obot__class_Obot(tc_fun(_u8666, tc_HOL_Obool))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_setsum__shift__lb__Suc0__0__upt ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_setsum__shift__lb__Suc0__0__upt-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u8669) | ( hAPP(_u8670, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != c_Groups_Ozero__class_Ozero(_u8669)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8669), _u8670), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u8671)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8669), _u8670), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8671))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_setsum__head__upt__Suc ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_setsum__head__upt__Suc-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u8672) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8673), _u8674)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8672), _u8675), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8673), _u8674)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8672), hAPP(_u8675, _u8673)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8672), _u8675), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u8673)), _u8674)))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_power__eq__if ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_power__eq__if-1, axiom, ( ( _u8678 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u8680), _u8678) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 39.89/40.07 cnf(fact_power__eq__if-2, axiom, ( ( _u8679 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u8681), _u8679) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u8681), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u8681), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8679), c_Groups_Oone__class_Oone(tc_Nat_Onat))))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_atLeastLessThanSuc ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_atLeastLessThanSuc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8684), _u8686)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8684), hAPP(c_Nat_OSuc, _u8686)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u8686), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8684), _u8686))) )).
% 39.89/40.07 cnf(fact_atLeastLessThanSuc-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8685), _u8687)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8685), hAPP(c_Nat_OSuc, _u8687)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_finite__PlusD_I2_J ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_finite__PlusD_I2_J-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u8689), _u8691)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u8688, _u8689)), c_Sum__Type_OPlus(_u8688, _u8689, _u8690, _u8691))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_finite__PlusD_I1_J ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_finite__PlusD_I1_J-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u8692, _u8693)), c_Sum__Type_OPlus(_u8692, _u8693, _u8694, _u8695))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8692), _u8694)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_finite__Plus ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_finite__Plus-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8696), _u8697)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8698), _u8699)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u8696, _u8698)), c_Sum__Type_OPlus(_u8696, _u8698, _u8697, _u8699))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_finite__Plus__iff ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_finite__Plus__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u8704, _u8706)), c_Sum__Type_OPlus(_u8704, _u8706, _u8708, _u8710))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8704), _u8708)) )).
% 39.89/40.07 cnf(fact_finite__Plus__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u8704, _u8706)), c_Sum__Type_OPlus(_u8704, _u8706, _u8708, _u8710))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8706), _u8710)) )).
% 39.89/40.07 cnf(fact_finite__Plus__iff-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8705), _u8709)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8707), _u8711)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u8705, _u8707)), c_Sum__Type_OPlus(_u8705, _u8707, _u8709, _u8711))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_setsum__op__ivl__Suc ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_setsum__op__ivl__Suc-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u8712) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8713), _u8714)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8712), _u8715), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8714), hAPP(c_Nat_OSuc, _u8713))) = c_Groups_Ozero__class_Ozero(_u8712)) )).
% 39.89/40.07 cnf(fact_setsum__op__ivl__Suc-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u8712) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8713), _u8714)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8712), _u8715), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8714), hAPP(c_Nat_OSuc, _u8713))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8712), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8712), _u8715), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8714), _u8713))), hAPP(_u8715, _u8713))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_card__Plus ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_card__Plus-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8716), _u8717)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8718), _u8719)) | ( hAPP(c_Finite__Set_Ocard(tc_sum(_u8716, _u8718)), c_Sum__Type_OPlus(_u8716, _u8718, _u8717, _u8719)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u8716), _u8717)), hAPP(c_Finite__Set_Ocard(_u8718), _u8719))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_power__strict__mono ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_power__strict__mono-1, axiom, ( ~class_Rings_Olinordered__semidom(_u8720) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8720), _u8721), _u8722)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8720), c_Groups_Ozero__class_Ozero(_u8720)), _u8721)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8723)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8720), hAPP(hAPP(c_Power_Opower__class_Opower(_u8720), _u8721), _u8723)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8720), _u8722), _u8723))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_one__less__power ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_one__less__power-1, axiom, ( ~class_Rings_Olinordered__semidom(_u8724) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8724), c_Groups_Oone__class_Oone(_u8724)), _u8725)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8726)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8724), c_Groups_Oone__class_Oone(_u8724)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8724), _u8725), _u8726))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_power__increasing__iff ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_power__increasing__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u8727) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8727), c_Groups_Oone__class_Oone(_u8727)), _u8728)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8727), hAPP(hAPP(c_Power_Opower__class_Opower(_u8727), _u8728), _u8729)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8727), _u8728), _u8730))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8729), _u8730)) )).
% 39.89/40.07 cnf(fact_power__increasing__iff-2, axiom, ( ~class_Rings_Olinordered__semidom(_u8727) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8727), c_Groups_Oone__class_Oone(_u8727)), _u8728)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8729), _u8730)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8727), hAPP(hAPP(c_Power_Opower__class_Opower(_u8727), _u8728), _u8729)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8727), _u8728), _u8730))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_power__le__imp__le__exp ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_power__le__imp__le__exp-1, axiom, ( ~class_Rings_Olinordered__semidom(_u8731) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8731), c_Groups_Oone__class_Oone(_u8731)), _u8732)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8731), hAPP(hAPP(c_Power_Opower__class_Opower(_u8731), _u8732), _u8733)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8731), _u8732), _u8734))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8733), _u8734)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_power__decreasing ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_power__decreasing-1, axiom, ( ~class_Rings_Olinordered__semidom(_u8735) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8736), _u8737)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8735), c_Groups_Ozero__class_Ozero(_u8735)), _u8738)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8735), _u8738), c_Groups_Oone__class_Oone(_u8735))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8735), hAPP(hAPP(c_Power_Opower__class_Opower(_u8735), _u8738), _u8737)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8735), _u8738), _u8736))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_finite__atLeastLessThan__int ( axiom ) converted to clauses:
% 39.89/40.07 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, _u8739), _u8740))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_zpower__zpower ( axiom ) converted to clauses:
% 39.89/40.07 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), _u8741), _u8742)), _u8743) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u8741), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u8742), _u8743))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J ( axiom ) converted to clauses:
% 39.89/40.07 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)), _u8744)) | 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), _u8744), _u8745))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_zpower__zadd__distrib ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_zpower__zadd__distrib-1, axiom, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u8746), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8747), _u8748)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u8746), _u8747)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u8746), _u8748))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_Nat__Transfer_Otransfer__int__nat__functions_I4_J ( axiom ) converted to clauses:
% 39.89/40.07 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), _u8749)), _u8750) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u8749), _u8750))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_int__power ( axiom ) converted to clauses:
% 39.89/40.07 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), _u8751), _u8752)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8751)), _u8752)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_zpower__int ( axiom ) converted to clauses:
% 39.89/40.07 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), _u8753)), _u8754) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u8753), _u8754))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_finite__atLeastZeroLessThan__int ( axiom ) converted to clauses:
% 39.89/40.07 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)), _u8755))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_image__add__int__atLeastLessThan ( axiom ) converted to clauses:
% 39.89/40.07 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)), _u8756)), 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), _u8757), _u8756))) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u8756), _u8757)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_field__power__not__zero ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_field__power__not__zero-1, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u8758) | ( _u8759 = c_Groups_Ozero__class_Ozero(_u8758)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8758), _u8759), _u8760) != c_Groups_Ozero__class_Ozero(_u8758)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_power__commutes ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_power__commutes-1, axiom, ( ~class_Groups_Omonoid__mult(_u8761) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8761), hAPP(hAPP(c_Power_Opower__class_Opower(_u8761), _u8762), _u8763)), _u8762) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8761), _u8762), hAPP(hAPP(c_Power_Opower__class_Opower(_u8761), _u8762), _u8763))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_power__mult__distrib ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_power__mult__distrib-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u8764) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8764), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8764), _u8765), _u8766)), _u8767) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8764), hAPP(hAPP(c_Power_Opower__class_Opower(_u8764), _u8765), _u8767)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8764), _u8766), _u8767))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_power__one ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_power__one-1, axiom, ( ~class_Groups_Omonoid__mult(_u8768) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8768), c_Groups_Oone__class_Oone(_u8768)), _u8769) = c_Groups_Oone__class_Oone(_u8768)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_power__mult ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_power__mult-1, axiom, ( ~class_Groups_Omonoid__mult(_u8770) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8770), _u8771), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u8772), _u8773)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u8770), hAPP(hAPP(c_Power_Opower__class_Opower(_u8770), _u8771), _u8772)), _u8773)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_power__one__right ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_power__one__right-1, axiom, ( ~class_Groups_Omonoid__mult(_u8774) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8774), _u8775), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u8775) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_power__mono ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_power__mono-1, axiom, ( ~class_Rings_Olinordered__semidom(_u8776) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8776), _u8777), _u8778)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8776), c_Groups_Ozero__class_Ozero(_u8776)), _u8777)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8776), hAPP(hAPP(c_Power_Opower__class_Opower(_u8776), _u8777), _u8779)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8776), _u8778), _u8779))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_zero__le__power ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_zero__le__power-1, axiom, ( ~class_Rings_Olinordered__semidom(_u8780) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8780), c_Groups_Ozero__class_Ozero(_u8780)), _u8781)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8780), c_Groups_Ozero__class_Ozero(_u8780)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8780), _u8781), _u8782))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_zero__less__power ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_zero__less__power-1, axiom, ( ~class_Rings_Olinordered__semidom(_u8783) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8783), c_Groups_Ozero__class_Ozero(_u8783)), _u8784)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8783), c_Groups_Ozero__class_Ozero(_u8783)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8783), _u8784), _u8785))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_power__eq__0__iff ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_power__eq__0__iff-1, axiom, ( ~class_Power_Opower(_u8786) | ~class_Rings_Omult__zero(_u8786) | ~class_Rings_Ono__zero__divisors(_u8786) | ~class_Rings_Ozero__neq__one(_u8786) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8786), _u8787), _u8788) != c_Groups_Ozero__class_Ozero(_u8786)) | ( _u8787 = c_Groups_Ozero__class_Ozero(_u8786)) )).
% 39.89/40.07 cnf(fact_power__eq__0__iff-2, axiom, ( ~class_Power_Opower(_u8786) | ~class_Rings_Omult__zero(_u8786) | ~class_Rings_Ono__zero__divisors(_u8786) | ~class_Rings_Ozero__neq__one(_u8786) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8786), _u8787), _u8788) != c_Groups_Ozero__class_Ozero(_u8786)) | ( _u8788 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.07 cnf(fact_power__eq__0__iff-3, axiom, ( ~class_Power_Opower(_u8786) | ~class_Rings_Omult__zero(_u8786) | ~class_Rings_Ono__zero__divisors(_u8786) | ~class_Rings_Ozero__neq__one(_u8786) | ( _u8787 != c_Groups_Ozero__class_Ozero(_u8786)) | ( _u8788 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8786), _u8787), _u8788) = c_Groups_Ozero__class_Ozero(_u8786)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_one__le__power ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_one__le__power-1, axiom, ( ~class_Rings_Olinordered__semidom(_u8789) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8789), c_Groups_Oone__class_Oone(_u8789)), _u8790)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8789), c_Groups_Oone__class_Oone(_u8789)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8789), _u8790), _u8791))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_power__0__Suc ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_power__0__Suc-1, axiom, ( ~class_Power_Opower(_u8792) | ~class_Rings_Osemiring__0(_u8792) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8792), c_Groups_Ozero__class_Ozero(_u8792)), hAPP(c_Nat_OSuc, _u8793)) = c_Groups_Ozero__class_Ozero(_u8792)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_power__inject__exp ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_power__inject__exp-1, axiom, ( ~class_Rings_Olinordered__semidom(_u8794) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8794), c_Groups_Oone__class_Oone(_u8794)), _u8795)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8794), _u8795), _u8796) != hAPP(hAPP(c_Power_Opower__class_Opower(_u8794), _u8795), _u8797)) | ( _u8796 = _u8797) )).
% 39.89/40.07 cnf(fact_power__inject__exp-2, axiom, ( ~class_Rings_Olinordered__semidom(_u8794) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8794), c_Groups_Oone__class_Oone(_u8794)), _u8795)) | ( _u8796 != _u8797) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8794), _u8795), _u8796) = hAPP(hAPP(c_Power_Opower__class_Opower(_u8794), _u8795), _u8797)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_power__Suc2 ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_power__Suc2-1, axiom, ( ~class_Groups_Omonoid__mult(_u8798) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8798), _u8799), hAPP(c_Nat_OSuc, _u8800)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8798), hAPP(hAPP(c_Power_Opower__class_Opower(_u8798), _u8799), _u8800)), _u8799)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_power__Suc ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_power__Suc-1, axiom, ( ~class_Power_Opower(_u8801) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8801), _u8802), hAPP(c_Nat_OSuc, _u8803)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8801), _u8802), hAPP(hAPP(c_Power_Opower__class_Opower(_u8801), _u8802), _u8803))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_power__0 ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_power__0-1, axiom, ( ~class_Power_Opower(_u8804) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8804), _u8805), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u8804)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_power__add ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_power__add-1, axiom, ( ~class_Groups_Omonoid__mult(_u8806) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8806), _u8807), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8808), _u8809)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8806), hAPP(hAPP(c_Power_Opower__class_Opower(_u8806), _u8807), _u8808)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8806), _u8807), _u8809))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_power__Suc__0 ( axiom ) converted to clauses:
% 39.89/40.07 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))), _u8810) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_nat__power__eq__Suc__0__iff ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_nat__power__eq__Suc__0__iff-1, axiom, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u8813), _u8815) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u8815 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u8813 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 39.89/40.07 cnf(fact_nat__power__eq__Suc__0__iff-2, axiom, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u8814), _u8816) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u8816 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.07 cnf(fact_nat__power__eq__Suc__0__iff-3, axiom, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u8814), _u8816) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u8814 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_nat__zero__less__power__iff ( axiom ) converted to clauses:
% 39.89/40.07 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), _u8819), _u8821))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8819)) | ( _u8821 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.07 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), _u8820), _u8822))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8820)) )).
% 39.89/40.07 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), _u8820), _u8822))) | ( _u8822 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_nat__power__less__imp__less ( axiom ) converted to clauses:
% 39.89/40.07 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)), _u8823)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u8823), _u8824)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u8823), _u8825))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8824), _u8825)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_of__nat__power ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_of__nat__power-1, axiom, ( ~class_Rings_Osemiring__1(_u8826) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8826), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u8827), _u8828)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u8826), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8826), _u8827)), _u8828)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_power__less__imp__less__base ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_power__less__imp__less__base-1, axiom, ( ~class_Rings_Olinordered__semidom(_u8829) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8829), hAPP(hAPP(c_Power_Opower__class_Opower(_u8829), _u8830), _u8831)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8829), _u8832), _u8831))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8829), c_Groups_Ozero__class_Ozero(_u8829)), _u8832)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8829), _u8830), _u8832)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_power__le__imp__le__base ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_power__le__imp__le__base-1, axiom, ( ~class_Rings_Olinordered__semidom(_u8833) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8833), hAPP(hAPP(c_Power_Opower__class_Opower(_u8833), _u8834), hAPP(c_Nat_OSuc, _u8835))), hAPP(hAPP(c_Power_Opower__class_Opower(_u8833), _u8836), hAPP(c_Nat_OSuc, _u8835)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8833), c_Groups_Ozero__class_Ozero(_u8833)), _u8836)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8833), _u8834), _u8836)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_power__inject__base ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_power__inject__base-1, axiom, ( ~class_Rings_Olinordered__semidom(_u8837) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8837), _u8838), hAPP(c_Nat_OSuc, _u8839)) != hAPP(hAPP(c_Power_Opower__class_Opower(_u8837), _u8840), hAPP(c_Nat_OSuc, _u8839))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8837), c_Groups_Ozero__class_Ozero(_u8837)), _u8838)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8837), c_Groups_Ozero__class_Ozero(_u8837)), _u8840)) | ( _u8838 = _u8840) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_power__less__power__Suc ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_power__less__power__Suc-1, axiom, ( ~class_Rings_Olinordered__semidom(_u8841) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8841), c_Groups_Oone__class_Oone(_u8841)), _u8842)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8841), hAPP(hAPP(c_Power_Opower__class_Opower(_u8841), _u8842), _u8843)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8841), _u8842), hAPP(hAPP(c_Power_Opower__class_Opower(_u8841), _u8842), _u8843)))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_power__gt1__lemma ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_power__gt1__lemma-1, axiom, ( ~class_Rings_Olinordered__semidom(_u8844) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8844), c_Groups_Oone__class_Oone(_u8844)), _u8845)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8844), c_Groups_Oone__class_Oone(_u8844)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8844), _u8845), hAPP(hAPP(c_Power_Opower__class_Opower(_u8844), _u8845), _u8846)))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_power__0__left ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_power__0__left-1, axiom, ( ~class_Power_Opower(_u8847) | ~class_Rings_Osemiring__0(_u8847) | ( _u8848 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8847), c_Groups_Ozero__class_Ozero(_u8847)), _u8848) = c_Groups_Oone__class_Oone(_u8847)) )).
% 39.89/40.07 cnf(fact_power__0__left-2, axiom, ( ~class_Power_Opower(_u8847) | ~class_Rings_Osemiring__0(_u8847) | ( _u8848 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8847), c_Groups_Ozero__class_Ozero(_u8847)), _u8848) = c_Groups_Ozero__class_Ozero(_u8847)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_power__gt1 ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_power__gt1-1, axiom, ( ~class_Rings_Olinordered__semidom(_u8849) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8849), c_Groups_Oone__class_Oone(_u8849)), _u8850)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8849), c_Groups_Oone__class_Oone(_u8849)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8849), _u8850), hAPP(c_Nat_OSuc, _u8851)))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_power__strict__increasing__iff ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_power__strict__increasing__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u8852) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8852), c_Groups_Oone__class_Oone(_u8852)), _u8853)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8852), hAPP(hAPP(c_Power_Opower__class_Opower(_u8852), _u8853), _u8854)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8852), _u8853), _u8855))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8854), _u8855)) )).
% 39.89/40.07 cnf(fact_power__strict__increasing__iff-2, axiom, ( ~class_Rings_Olinordered__semidom(_u8852) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8852), c_Groups_Oone__class_Oone(_u8852)), _u8853)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8854), _u8855)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8852), hAPP(hAPP(c_Power_Opower__class_Opower(_u8852), _u8853), _u8854)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8852), _u8853), _u8855))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_power__less__imp__less__exp ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_power__less__imp__less__exp-1, axiom, ( ~class_Rings_Olinordered__semidom(_u8856) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8856), c_Groups_Oone__class_Oone(_u8856)), _u8857)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8856), hAPP(hAPP(c_Power_Opower__class_Opower(_u8856), _u8857), _u8858)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8856), _u8857), _u8859))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8858), _u8859)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_power__strict__increasing ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_power__strict__increasing-1, axiom, ( ~class_Rings_Olinordered__semidom(_u8860) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8861), _u8862)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8860), c_Groups_Oone__class_Oone(_u8860)), _u8863)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8860), hAPP(hAPP(c_Power_Opower__class_Opower(_u8860), _u8863), _u8861)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8860), _u8863), _u8862))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_power__increasing ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_power__increasing-1, axiom, ( ~class_Rings_Olinordered__semidom(_u8864) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8865), _u8866)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8864), c_Groups_Oone__class_Oone(_u8864)), _u8867)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8864), hAPP(hAPP(c_Power_Opower__class_Opower(_u8864), _u8867), _u8865)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8864), _u8867), _u8866))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_power__minus ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_power__minus-1, axiom, ( ~class_Rings_Oring__1(_u8868) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8868), hAPP(c_Groups_Ouminus__class_Ouminus(_u8868), _u8869)), _u8870) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8868), hAPP(hAPP(c_Power_Opower__class_Opower(_u8868), hAPP(c_Groups_Ouminus__class_Ouminus(_u8868), c_Groups_Oone__class_Oone(_u8868))), _u8870)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8868), _u8869), _u8870))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_nat__one__le__power ( axiom ) converted to clauses:
% 39.89/40.07 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))), _u8871)) | 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), _u8871), _u8872))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_power__Suc__less ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_power__Suc__less-1, axiom, ( ~class_Rings_Olinordered__semidom(_u8873) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8873), c_Groups_Ozero__class_Ozero(_u8873)), _u8874)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8873), _u8874), c_Groups_Oone__class_Oone(_u8873))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8873), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8873), _u8874), hAPP(hAPP(c_Power_Opower__class_Opower(_u8873), _u8874), _u8875))), hAPP(hAPP(c_Power_Opower__class_Opower(_u8873), _u8874), _u8875))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_power__eq__imp__eq__base ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_power__eq__imp__eq__base-1, axiom, ( ~class_Rings_Olinordered__semidom(_u8876) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8876), _u8877), _u8878) != hAPP(hAPP(c_Power_Opower__class_Opower(_u8876), _u8879), _u8878)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8876), c_Groups_Ozero__class_Ozero(_u8876)), _u8877)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8876), c_Groups_Ozero__class_Ozero(_u8876)), _u8879)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8878)) | ( _u8877 = _u8879) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_power__Suc__less__one ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_power__Suc__less__one-1, axiom, ( ~class_Rings_Olinordered__semidom(_u8880) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8880), c_Groups_Ozero__class_Ozero(_u8880)), _u8881)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8880), _u8881), c_Groups_Oone__class_Oone(_u8880))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8880), hAPP(hAPP(c_Power_Opower__class_Opower(_u8880), _u8881), hAPP(c_Nat_OSuc, _u8882))), c_Groups_Oone__class_Oone(_u8880))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_power__strict__decreasing ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_power__strict__decreasing-1, axiom, ( ~class_Rings_Olinordered__semidom(_u8883) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8884), _u8885)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8883), c_Groups_Ozero__class_Ozero(_u8883)), _u8886)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8883), _u8886), c_Groups_Oone__class_Oone(_u8883))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8883), hAPP(hAPP(c_Power_Opower__class_Opower(_u8883), _u8886), _u8885)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8883), _u8886), _u8884))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_UNIV__Plus__UNIV ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_UNIV__Plus__UNIV-1, axiom, ( ( c_Sum__Type_OPlus(_u8887, _u8888, c_Orderings_Otop__class_Otop(tc_fun(_u8887, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u8888, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u8887, _u8888), tc_HOL_Obool))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_small_H_Opinduct ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_small_H_Opinduct-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_fun(tc_Int_Oint, tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))), tc_prod(tc_Int_Oint, tc_Int_Oint)), c_Smallcheck_Osmall_H__rel), hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_Int_Oint, tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))), tc_prod(tc_Int_Oint, tc_Int_Oint)), _u8892), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8893), _u8894)))) | hBOOL(hAPP(hAPP(hAPP(_u8895, _u8892), _u8893), _u8894)) | hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_fun(tc_Int_Oint, tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))), tc_prod(tc_Int_Oint, tc_Int_Oint)), c_Smallcheck_Osmall_H__rel), hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_Int_Oint, tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))), tc_prod(tc_Int_Oint, tc_Int_Oint)), skolem161(_u8895, _u8894, _u8893, _u8892)), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), skolem162(_u8895, _u8894, _u8893, _u8892)), skolem163(_u8895, _u8894, _u8893, _u8892))))) )).
% 39.89/40.07 cnf(fact_small_H_Opinduct-2, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_fun(tc_Int_Oint, tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))), tc_prod(tc_Int_Oint, tc_Int_Oint)), c_Smallcheck_Osmall_H__rel), hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_Int_Oint, tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))), tc_prod(tc_Int_Oint, tc_Int_Oint)), _u8892), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8893), _u8894)))) | hBOOL(hAPP(hAPP(hAPP(_u8895, _u8892), _u8893), _u8894)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem162(_u8895, _u8894, _u8893, _u8892)), skolem163(_u8895, _u8894, _u8893, _u8892))) | ( hAPP(skolem161(_u8895, _u8894, _u8893, _u8892), skolem163(_u8895, _u8894, _u8893, _u8892)) != c_Option_Ooption_ONone(tc_List_Olist(tc_Code__Evaluation_Oterm))) | hBOOL(hAPP(hAPP(hAPP(_u8895, skolem161(_u8895, _u8894, _u8893, _u8892)), skolem162(_u8895, _u8894, _u8893, _u8892)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem163(_u8895, _u8894, _u8893, _u8892)), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 39.89/40.07 cnf(fact_small_H_Opinduct-3, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_fun(tc_Int_Oint, tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))), tc_prod(tc_Int_Oint, tc_Int_Oint)), c_Smallcheck_Osmall_H__rel), hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_Int_Oint, tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))), tc_prod(tc_Int_Oint, tc_Int_Oint)), _u8892), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8893), _u8894)))) | hBOOL(hAPP(hAPP(hAPP(_u8895, _u8892), _u8893), _u8894)) | ~hBOOL(hAPP(hAPP(hAPP(_u8895, skolem161(_u8895, _u8894, _u8893, _u8892)), skolem162(_u8895, _u8894, _u8893, _u8892)), skolem163(_u8895, _u8894, _u8893, _u8892))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_same__fstI ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_same__fstI-1, axiom, ( ~hBOOL(hAPP(_u8896, _u8897)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8898, _u8898)), hAPP(hAPP(c_Product__Type_OPair(_u8898, _u8898), _u8899), _u8900)), hAPP(_u8901, _u8897))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u8902, _u8898), tc_prod(_u8902, _u8898))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u8902, _u8898), tc_prod(_u8902, _u8898)), hAPP(hAPP(c_Product__Type_OPair(_u8902, _u8898), _u8897), _u8899)), hAPP(hAPP(c_Product__Type_OPair(_u8902, _u8898), _u8897), _u8900))), c_Recdef_Osame__fst(_u8902, _u8898, _u8896, _u8901))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_ex__nat__less__eq ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_ex__nat__less__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8903), _u8909)) | ~hBOOL(hAPP(_u8911, _u8903)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem164(_u8911, _u8909)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8909))) )).
% 39.89/40.07 cnf(fact_ex__nat__less__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8903), _u8909)) | ~hBOOL(hAPP(_u8911, _u8903)) | hBOOL(hAPP(_u8911, skolem164(_u8911, _u8909))) )).
% 39.89/40.07 cnf(fact_ex__nat__less__eq-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u8905), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8910))) | ~hBOOL(hAPP(_u8912, _u8905)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem165(_u8912, _u8910)), _u8910)) )).
% 39.89/40.07 cnf(fact_ex__nat__less__eq-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u8905), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8910))) | ~hBOOL(hAPP(_u8912, _u8905)) | hBOOL(hAPP(_u8912, skolem165(_u8912, _u8910))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_all__nat__less__eq ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_all__nat__less__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u8914), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8919))) | hBOOL(hAPP(_u8921, _u8914)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem166(_u8921, _u8919)), _u8919)) )).
% 39.89/40.07 cnf(fact_all__nat__less__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u8914), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8919))) | hBOOL(hAPP(_u8921, _u8914)) | ~hBOOL(hAPP(_u8921, skolem166(_u8921, _u8919))) )).
% 39.89/40.07 cnf(fact_all__nat__less__eq-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8916), _u8920)) | hBOOL(hAPP(_u8922, _u8916)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem167(_u8922, _u8920)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8920))) )).
% 39.89/40.07 cnf(fact_all__nat__less__eq-4, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8916), _u8920)) | hBOOL(hAPP(_u8922, _u8916)) | ~hBOOL(hAPP(_u8922, skolem167(_u8922, _u8920))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_Plus__eq__empty__conv ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_Plus__eq__empty__conv-1, axiom, ( ( c_Sum__Type_OPlus(_u8927, _u8929, _u8931, _u8933) != c_Orderings_Obot__class_Obot(tc_fun(tc_sum(_u8927, _u8929), tc_HOL_Obool))) | ( _u8931 = c_Orderings_Obot__class_Obot(tc_fun(_u8927, tc_HOL_Obool))) )).
% 39.89/40.07 cnf(fact_Plus__eq__empty__conv-2, axiom, ( ( c_Sum__Type_OPlus(_u8927, _u8929, _u8931, _u8933) != c_Orderings_Obot__class_Obot(tc_fun(tc_sum(_u8927, _u8929), tc_HOL_Obool))) | ( _u8933 = c_Orderings_Obot__class_Obot(tc_fun(_u8929, tc_HOL_Obool))) )).
% 39.89/40.07 cnf(fact_Plus__eq__empty__conv-3, axiom, ( ( _u8932 != c_Orderings_Obot__class_Obot(tc_fun(_u8928, tc_HOL_Obool))) | ( _u8934 != c_Orderings_Obot__class_Obot(tc_fun(_u8930, tc_HOL_Obool))) | ( c_Sum__Type_OPlus(_u8928, _u8930, _u8932, _u8934) = c_Orderings_Obot__class_Obot(tc_fun(tc_sum(_u8928, _u8930), tc_HOL_Obool))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_UN__finite2__subset ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_UN__finite2__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8936, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8936, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem168(_u8939, _u8938, _u8937, _u8936))), _u8937)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8936, 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), skolem168(_u8939, _u8938, _u8937, _u8936)), _u8938))), _u8939))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8936, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8936, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u8937)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8936, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u8939))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_power__power__power ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_power__power__power-1, axiom, ( ~class_Power_Opower(_u8940) | ( c_Power_Opower__class_Opower(_u8940) = c_Power_Opower_Opower(_u8940, c_Groups_Oone__class_Oone(_u8940), c_Groups_Otimes__class_Otimes(_u8940))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_divmod__int__relI ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_divmod__int__relI-1, axiom, ( ( _u8941 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8942), _u8943)), _u8944)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u8941, _u8942), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8943), _u8944))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8942)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8942), _u8944)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8944), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.89/40.07 cnf(fact_divmod__int__relI-2, axiom, ( ( _u8941 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8942), _u8943)), _u8944)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u8941, _u8942), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8943), _u8944))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8944)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8944), _u8942)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8942)) )).
% 39.89/40.07 cnf(fact_divmod__int__relI-3, axiom, ( ( _u8941 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8942), _u8943)), _u8944)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u8941, _u8942), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8943), _u8944))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8944)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8944), _u8942)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8942), _u8944)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8944), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_UN__finite2__eq ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_UN__finite2__eq-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8946, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem169(_u8949, _u8948, _u8947, _u8946))), _u8947) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8946, 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), skolem169(_u8949, _u8948, _u8947, _u8946)), _u8948))), _u8949)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8946, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u8947) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8946, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u8949)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_UN__finite__subset ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_UN__finite__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8951, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8951, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem170(_u8953, _u8952, _u8951))), _u8952)), _u8953)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8951, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8951, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u8952)), _u8953)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_unique__remainder ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_unique__remainder-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u8954, _u8955), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8956), _u8957))) | ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u8954, _u8955), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8958), _u8959))) | ( _u8955 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u8957 = _u8959) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_unique__quotient ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_unique__quotient-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u8960, _u8961), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8962), _u8963))) | ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u8960, _u8961), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8964), _u8965))) | ( _u8961 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u8962 = _u8964) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_self__remainder ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_self__remainder-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u8966, _u8966), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8967), _u8968))) | ( _u8966 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u8968 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_divmod__int__rel__0 ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_divmod__int__rel__0-1, axiom, ( ( _u8969 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u8969), 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)))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_power_Opower_Opower__0 ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_power_Opower_Opower__0-1, axiom, ( ( hAPP(hAPP(c_Power_Opower_Opower(_u8970, _u8971, _u8972), _u8973), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u8971) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_power_Opower_Opower__Suc ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_power_Opower_Opower__Suc-1, axiom, ( ( hAPP(hAPP(c_Power_Opower_Opower(_u8974, _u8975, _u8976), _u8977), hAPP(c_Nat_OSuc, _u8978)) = hAPP(hAPP(_u8976, _u8977), hAPP(hAPP(c_Power_Opower_Opower(_u8974, _u8975, _u8976), _u8977), _u8978))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_self__quotient ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_self__quotient-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u8979, _u8979), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8980), _u8981))) | ( _u8979 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u8980 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_zminus1__lemma ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_zminus1__lemma-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u8982, _u8983), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8984), _u8985))) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8982), _u8983), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(hAPP(c_If(tc_Int_Oint), hAPP(hAPP(c_fequal, _u8985), c_Groups_Ozero__class_Ozero(tc_Int_Oint))), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8984)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8984)), c_Groups_Oone__class_Oone(tc_Int_Oint)))), hAPP(hAPP(hAPP(c_If(tc_Int_Oint), hAPP(hAPP(c_fequal, _u8985), 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), _u8983), _u8985))))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_ivl__disj__un_I3_J ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_ivl__disj__un_I3_J-1, axiom, ( ~class_Orderings_Olinorder(_u8986) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8986), _u8987), _u8988)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8986, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u8986), _u8987), c_Orderings_Obot__class_Obot(tc_fun(_u8986, tc_HOL_Obool)))), c_SetInterval_Oord__class_OgreaterThanLessThan(_u8986, _u8987, _u8988)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8986, _u8987), _u8988)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_int__power__div__base ( axiom ) converted to clauses:
% 39.89/40.07 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)), _u8989)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8990)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u8990), _u8989)), _u8990) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u8990), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8989), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_in__finite__psubset ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_in__finite__psubset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u8994, tc_HOL_Obool), tc_fun(_u8994, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u8994, tc_HOL_Obool), tc_fun(_u8994, tc_HOL_Obool)), _u8996), _u8998)), c_Wellfounded_Ofinite__psubset(_u8994))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u8994, tc_HOL_Obool)), _u8996), _u8998)) )).
% 39.89/40.07 cnf(fact_in__finite__psubset-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u8994, tc_HOL_Obool), tc_fun(_u8994, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u8994, tc_HOL_Obool), tc_fun(_u8994, tc_HOL_Obool)), _u8996), _u8998)), c_Wellfounded_Ofinite__psubset(_u8994))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8994), _u8998)) )).
% 39.89/40.07 cnf(fact_in__finite__psubset-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u8995, tc_HOL_Obool)), _u8997), _u8999)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8995), _u8999)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u8995, tc_HOL_Obool), tc_fun(_u8995, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u8995, tc_HOL_Obool), tc_fun(_u8995, tc_HOL_Obool)), _u8997), _u8999)), c_Wellfounded_Ofinite__psubset(_u8995))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_min__max_OInf__fin_Oremove ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_min__max_OInf__fin_Oremove-1, axiom, ( ~class_Orderings_Olinorder(_u9000) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9000), _u9001)) | ~hBOOL(hAPP(hAPP(c_member(_u9000), _u9002), _u9001)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9000, tc_HOL_Obool)), _u9001), hAPP(hAPP(c_Set_Oinsert(_u9000), _u9002), c_Orderings_Obot__class_Obot(tc_fun(_u9000, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u9000, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u9000, c_Orderings_Oord__class_Omin(_u9000), _u9001) = _u9002) )).
% 39.89/40.07 cnf(fact_min__max_OInf__fin_Oremove-2, axiom, ( ~class_Orderings_Olinorder(_u9000) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9000), _u9001)) | ~hBOOL(hAPP(hAPP(c_member(_u9000), _u9002), _u9001)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9000, tc_HOL_Obool)), _u9001), hAPP(hAPP(c_Set_Oinsert(_u9000), _u9002), c_Orderings_Obot__class_Obot(tc_fun(_u9000, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u9000, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u9000, c_Orderings_Oord__class_Omin(_u9000), _u9001) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9000), _u9002), c_Big__Operators_Olattice_OInf__fin(_u9000, c_Orderings_Oord__class_Omin(_u9000), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9000, tc_HOL_Obool)), _u9001), hAPP(hAPP(c_Set_Oinsert(_u9000), _u9002), c_Orderings_Obot__class_Obot(tc_fun(_u9000, tc_HOL_Obool))))))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_com_Osize_I12_J ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_com_Osize_I12_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OSemi(_u9003, _u9004)) = 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), _u9003)), hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), _u9004))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_finite__greaterThanLessThan ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_finite__greaterThanLessThan-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u9005, _u9006))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_finite__greaterThanLessThan__int ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_finite__greaterThanLessThan__int-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u9007, _u9008))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_zdiv__zero ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_zdiv__zero-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9009) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_zdiv__zminus2 ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_zdiv__zminus2-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9010), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9011)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9010)), _u9011)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_zdiv__zminus__zminus ( axiom ) converted to clauses:
% 39.89/40.07 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), _u9012)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9013)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9012), _u9013)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_div__by__0 ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_div__by__0-1, axiom, ( ~class_Divides_Osemiring__div(_u9014) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9014), _u9015), c_Groups_Ozero__class_Ozero(_u9014)) = c_Groups_Ozero__class_Ozero(_u9014)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_div__0 ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_div__0-1, axiom, ( ~class_Divides_Osemiring__div(_u9016) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9016), c_Groups_Ozero__class_Ozero(_u9016)), _u9017) = c_Groups_Ozero__class_Ozero(_u9016)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_div__by__1 ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_div__by__1-1, axiom, ( ~class_Divides_Osemiring__div(_u9018) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9018), _u9019), c_Groups_Oone__class_Oone(_u9018)) = _u9019) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_Divides_Otransfer__nat__int__function__closures_I1_J ( axiom ) converted to clauses:
% 39.89/40.07 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)), _u9020)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9021)) | 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), _u9020), _u9021))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_div__neg__pos__less0 ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_div__neg__pos__less0-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9022), 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)), _u9023)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9022), _u9023)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_neg__imp__zdiv__neg__iff ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_neg__imp__zdiv__neg__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9024), 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), _u9025), _u9024)), 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)), _u9025)) )).
% 39.89/40.07 cnf(fact_neg__imp__zdiv__neg__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9024), 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)), _u9025)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9025), _u9024)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_pos__imp__zdiv__neg__iff ( axiom ) converted to clauses:
% 39.89/40.07 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)), _u9026)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9027), _u9026)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9027), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.89/40.07 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)), _u9026)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9027), 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), _u9027), _u9026)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_zdiv__self ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_zdiv__self-1, axiom, ( ( _u9028 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9028), _u9028) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_div__mult__mult1__if ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_div__mult__mult1__if-1, axiom, ( ~class_Divides_Osemiring__div(_u9029) | ( _u9030 != c_Groups_Ozero__class_Ozero(_u9029)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9029), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9029), _u9030), _u9031)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9029), _u9030), _u9032)) = c_Groups_Ozero__class_Ozero(_u9029)) )).
% 39.89/40.07 cnf(fact_div__mult__mult1__if-2, axiom, ( ~class_Divides_Osemiring__div(_u9029) | ( _u9030 = c_Groups_Ozero__class_Ozero(_u9029)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9029), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9029), _u9030), _u9031)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9029), _u9030), _u9032)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9029), _u9031), _u9032)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_div__mult__self2__is__id ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_div__mult__self2__is__id-1, axiom, ( ~class_Divides_Osemiring__div(_u9033) | ( _u9034 = c_Groups_Ozero__class_Ozero(_u9033)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9033), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9033), _u9035), _u9034)), _u9034) = _u9035) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_div__mult__self1__is__id ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_div__mult__self1__is__id-1, axiom, ( ~class_Divides_Osemiring__div(_u9036) | ( _u9037 = c_Groups_Ozero__class_Ozero(_u9036)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9036), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9036), _u9037), _u9038)), _u9037) = _u9038) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_div__mult__mult2 ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_div__mult__mult2-1, axiom, ( ~class_Divides_Osemiring__div(_u9039) | ( _u9040 = c_Groups_Ozero__class_Ozero(_u9039)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9039), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9039), _u9041), _u9040)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9039), _u9042), _u9040)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9039), _u9041), _u9042)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_div__mult__mult1 ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_div__mult__mult1-1, axiom, ( ~class_Divides_Osemiring__div(_u9043) | ( _u9044 = c_Groups_Ozero__class_Ozero(_u9043)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9043), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9043), _u9044), _u9045)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9043), _u9044), _u9046)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9043), _u9045), _u9046)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_div__self ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_div__self-1, axiom, ( ~class_Divides_Osemiring__div(_u9047) | ( _u9048 = c_Groups_Ozero__class_Ozero(_u9047)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9047), _u9048), _u9048) = c_Groups_Oone__class_Oone(_u9047)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_greaterThanLessThan__empty ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_greaterThanLessThan__empty-1, axiom, ( ~class_Orderings_Oorder(_u9049) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9049), _u9050), _u9051)) | ( c_SetInterval_Oord__class_OgreaterThanLessThan(_u9049, _u9051, _u9050) = c_Orderings_Obot__class_Obot(tc_fun(_u9049, tc_HOL_Obool))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_zdiv__mono1__neg ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_zdiv__mono1__neg-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9052), _u9053)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9054), 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), _u9053), _u9054)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9052), _u9054))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_zdiv__mono1 ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_zdiv__mono1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9055), _u9056)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9057)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9055), _u9057)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9057))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_div__neg__neg__trivial ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_div__neg__neg__trivial-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9058), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9059), _u9058)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9058), _u9059) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_zdiv__mono2__neg ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_zdiv__mono2__neg-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9060), 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)), _u9061)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9061), _u9062)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9060), _u9061)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9060), _u9062))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_div__nonpos__pos__le0 ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_div__nonpos__pos__le0-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9063), 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)), _u9064)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9063), _u9064)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_neg__imp__zdiv__nonneg__iff ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_neg__imp__zdiv__nonneg__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9065), 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), _u9066), _u9065))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9066), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.89/40.07 cnf(fact_neg__imp__zdiv__nonneg__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9065), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9066), 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), _u9066), _u9065))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_div__pos__pos__trivial ( axiom ) converted to clauses:
% 39.89/40.07 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)), _u9067)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9067), _u9068)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9067), _u9068) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_div__nonneg__neg__le0 ( axiom ) converted to clauses:
% 39.89/40.07 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)), _u9069)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9070), 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), _u9069), _u9070)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_zdiv__mono2 ( axiom ) converted to clauses:
% 39.89/40.07 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)), _u9071)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9072)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9072), _u9073)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9071), _u9073)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9071), _u9072))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_nonneg1__imp__zdiv__pos__iff ( axiom ) converted to clauses:
% 39.89/40.07 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)), _u9074)) | ~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), _u9074), _u9075))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9075), _u9074)) )).
% 39.89/40.07 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)), _u9074)) | ~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), _u9074), _u9075))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9075)) )).
% 39.89/40.07 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)), _u9074)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9075), _u9074)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9075)) | 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), _u9074), _u9075))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_pos__imp__zdiv__pos__iff ( axiom ) converted to clauses:
% 39.89/40.07 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)), _u9076)) | ~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), _u9077), _u9076))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9076), _u9077)) )).
% 39.89/40.07 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)), _u9076)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9076), _u9077)) | 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), _u9077), _u9076))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_pos__imp__zdiv__nonneg__iff ( axiom ) converted to clauses:
% 39.89/40.07 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)), _u9078)) | ~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), _u9079), _u9078))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9079)) )).
% 39.89/40.07 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)), _u9078)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9079)) | 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), _u9079), _u9078))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_zdiv__eq__0__iff ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_zdiv__eq__0__iff-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9082), _u9084) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9084 = 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)), _u9082)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9082), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.89/40.07 cnf(fact_zdiv__eq__0__iff-2, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9082), _u9084) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9084 = 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)), _u9082)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9084), _u9082)) )).
% 39.89/40.07 cnf(fact_zdiv__eq__0__iff-3, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9082), _u9084) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9084 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9082), _u9084)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9082), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.89/40.07 cnf(fact_zdiv__eq__0__iff-4, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9082), _u9084) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9084 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9082), _u9084)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9084), _u9082)) )).
% 39.89/40.07 cnf(fact_zdiv__eq__0__iff-5, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9083), _u9085) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9085 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 39.89/40.07 cnf(fact_zdiv__eq__0__iff-6, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9083), _u9085) = 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)), _u9083)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9083), _u9085)) )).
% 39.89/40.07 cnf(fact_zdiv__eq__0__iff-7, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9083), _u9085) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9083), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9085), _u9083)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_atLeastSucLessThan__greaterThanLessThan ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_atLeastSucLessThan__greaterThanLessThan-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u9086)), _u9087) = c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u9086, _u9087)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_image__uminus__greaterThanLessThan ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_image__uminus__greaterThanLessThan-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u9088) | ( hAPP(c_Set_Oimage(_u9088, _u9088, c_Groups_Ouminus__class_Ouminus(_u9088)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u9088, _u9089, _u9090)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u9088, hAPP(c_Groups_Ouminus__class_Ouminus(_u9088), _u9090), hAPP(c_Groups_Ouminus__class_Ouminus(_u9088), _u9089))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_int__div__less__self ( axiom ) converted to clauses:
% 39.89/40.07 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)), _u9091)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u9092)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9091), _u9092)), _u9091)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_zdiv__zmult2__eq ( axiom ) converted to clauses:
% 39.89/40.07 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)), _u9093)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9094), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9095), _u9093)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9094), _u9095)), _u9093)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_divmod__int__rel__div ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_divmod__int__rel__div-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u9096, _u9097), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u9098), _u9099))) | ( _u9097 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9096), _u9097) = _u9098) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_div__mult__self2 ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_div__mult__self2-1, axiom, ( ~class_Divides_Osemiring__div(_u9100) | ( _u9101 = c_Groups_Ozero__class_Ozero(_u9100)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9100), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9100), _u9102), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9100), _u9101), _u9103))), _u9101) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9100), _u9103), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9100), _u9102), _u9101))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_div__mult__self1 ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_div__mult__self1-1, axiom, ( ~class_Divides_Osemiring__div(_u9104) | ( _u9105 = c_Groups_Ozero__class_Ozero(_u9104)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9104), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9104), _u9106), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9104), _u9107), _u9105))), _u9105) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9104), _u9107), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9104), _u9106), _u9105))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_div__add__self1 ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_div__add__self1-1, axiom, ( ~class_Divides_Osemiring__div(_u9108) | ( _u9109 = c_Groups_Ozero__class_Ozero(_u9108)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9108), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9108), _u9109), _u9110)), _u9109) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9108), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9108), _u9110), _u9109)), c_Groups_Oone__class_Oone(_u9108))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_div__add__self2 ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_div__add__self2-1, axiom, ( ~class_Divides_Osemiring__div(_u9111) | ( _u9112 = c_Groups_Ozero__class_Ozero(_u9111)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9111), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9111), _u9113), _u9112)), _u9112) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9111), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9111), _u9113), _u9112)), c_Groups_Oone__class_Oone(_u9111))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_min__max_OInf__fin_Oin__idem ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_min__max_OInf__fin_Oin__idem-1, axiom, ( ~class_Orderings_Olinorder(_u9114) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9114), _u9115)) | ~hBOOL(hAPP(hAPP(c_member(_u9114), _u9116), _u9115)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9114), _u9116), c_Big__Operators_Olattice_OInf__fin(_u9114, c_Orderings_Oord__class_Omin(_u9114), _u9115)) = c_Big__Operators_Olattice_OInf__fin(_u9114, c_Orderings_Oord__class_Omin(_u9114), _u9115)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_min__max_OInf__fin_Osingleton ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_min__max_OInf__fin_Osingleton-1, axiom, ( ~class_Orderings_Olinorder(_u9117) | ( c_Big__Operators_Olattice_OInf__fin(_u9117, c_Orderings_Oord__class_Omin(_u9117), hAPP(hAPP(c_Set_Oinsert(_u9117), _u9118), c_Orderings_Obot__class_Obot(tc_fun(_u9117, tc_HOL_Obool)))) = _u9118) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_com_Osize_I10_J ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_com_Osize_I10_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OAss(_u9119, _u9120)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_com_Osize_I9_J ( axiom ) converted to clauses:
% 39.89/40.07 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)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_ivl__disj__int_I9_J ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_ivl__disj__int_I9_J-1, axiom, ( ~class_Orderings_Oorder(_u9121) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9121, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u9121, _u9122, _u9123)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u9121, _u9123), _u9124)) = c_Orderings_Obot__class_Obot(tc_fun(_u9121, tc_HOL_Obool))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_card__greaterThanLessThan ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_card__greaterThanLessThan-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u9125, _u9126)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u9126), hAPP(c_Nat_OSuc, _u9125))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_min__max_OInf__fin_Oinsert__idem ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_min__max_OInf__fin_Oinsert__idem-1, axiom, ( ~class_Orderings_Olinorder(_u9127) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9127), _u9128)) | ( _u9128 = c_Orderings_Obot__class_Obot(tc_fun(_u9127, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u9127, c_Orderings_Oord__class_Omin(_u9127), hAPP(hAPP(c_Set_Oinsert(_u9127), _u9129), _u9128)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9127), _u9129), c_Big__Operators_Olattice_OInf__fin(_u9127, c_Orderings_Oord__class_Omin(_u9127), _u9128))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_min__max_OInf__fin_Osubset__idem ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_min__max_OInf__fin_Osubset__idem-1, axiom, ( ~class_Orderings_Olinorder(_u9130) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9130), _u9131)) | ( _u9132 = c_Orderings_Obot__class_Obot(tc_fun(_u9130, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9130, tc_HOL_Obool)), _u9132), _u9131)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9130), c_Big__Operators_Olattice_OInf__fin(_u9130, c_Orderings_Oord__class_Omin(_u9130), _u9132)), c_Big__Operators_Olattice_OInf__fin(_u9130, c_Orderings_Oord__class_Omin(_u9130), _u9131)) = c_Big__Operators_Olattice_OInf__fin(_u9130, c_Orderings_Oord__class_Omin(_u9130), _u9131)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_min__max_OInf__fin_Ounion__idem ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_min__max_OInf__fin_Ounion__idem-1, axiom, ( ~class_Orderings_Olinorder(_u9133) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9133), _u9134)) | ( _u9134 = c_Orderings_Obot__class_Obot(tc_fun(_u9133, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9133), _u9135)) | ( _u9135 = c_Orderings_Obot__class_Obot(tc_fun(_u9133, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u9133, c_Orderings_Oord__class_Omin(_u9133), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9133, tc_HOL_Obool)), _u9134), _u9135)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9133), c_Big__Operators_Olattice_OInf__fin(_u9133, c_Orderings_Oord__class_Omin(_u9133), _u9134)), c_Big__Operators_Olattice_OInf__fin(_u9133, c_Orderings_Oord__class_Omin(_u9133), _u9135))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_atLeastPlusOneLessThan__greaterThanLessThan__int ( axiom ) converted to clauses:
% 39.89/40.07 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), _u9136), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u9137) = c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u9136, _u9137)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_divmod__int__rel__div__eq ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_divmod__int__rel__div__eq-1, axiom, ( ( _u9138 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9139), _u9140)), _u9141)) | ( _u9139 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9138), _u9139) = _u9140) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9139)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9139), _u9141)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9141), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.89/40.07 cnf(fact_divmod__int__rel__div__eq-2, axiom, ( ( _u9138 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9139), _u9140)), _u9141)) | ( _u9139 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9138), _u9139) = _u9140) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9141)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9141), _u9139)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9139)) )).
% 39.89/40.07 cnf(fact_divmod__int__rel__div__eq-3, axiom, ( ( _u9138 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9139), _u9140)), _u9141)) | ( _u9139 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9138), _u9139) = _u9140) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9141)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9141), _u9139)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9139), _u9141)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9141), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_split__zdiv ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_split__zdiv-1, axiom, ( ~hBOOL(hAPP(_u9153, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9155), _u9157))) | ( _u9157 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(_u9153, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.89/40.07 cnf(fact_split__zdiv-2, axiom, ( ~hBOOL(hAPP(_u9153, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9155), _u9157))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9157)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9142)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9142), _u9157)) | ( _u9155 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9157), _u9143)), _u9142)) | hBOOL(hAPP(_u9153, _u9143)) )).
% 39.89/40.07 cnf(fact_split__zdiv-3, axiom, ( ~hBOOL(hAPP(_u9153, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9155), _u9157))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9157), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9157), _u9144)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9144), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9155 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9157), _u9145)), _u9144)) | hBOOL(hAPP(_u9153, _u9145)) )).
% 39.89/40.07 cnf(fact_split__zdiv-4, axiom, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9158), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9158 = 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)), _u9158)) )).
% 39.89/40.07 cnf(fact_split__zdiv-5, axiom, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9158), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9158 = 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)), skolem172(_u9158, _u9156, _u9154))) )).
% 39.89/40.07 cnf(fact_split__zdiv-6, axiom, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9158), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9158 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem172(_u9158, _u9156, _u9154)), _u9158)) )).
% 39.89/40.07 cnf(fact_split__zdiv-7, axiom, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9158), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9158 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9156 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9158), skolem171(_u9158, _u9156, _u9154))), skolem172(_u9158, _u9156, _u9154))) )).
% 39.89/40.07 cnf(fact_split__zdiv-8, axiom, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9158), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9158 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u9154, skolem171(_u9158, _u9156, _u9154))) )).
% 39.89/40.07 cnf(fact_split__zdiv-9, axiom, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9158), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9154, 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)), _u9158)) )).
% 39.89/40.07 cnf(fact_split__zdiv-10, axiom, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9158), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9154, 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)), skolem172(_u9158, _u9156, _u9154))) )).
% 39.89/40.07 cnf(fact_split__zdiv-11, axiom, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9158), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9154, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem172(_u9158, _u9156, _u9154)), _u9158)) )).
% 39.89/40.07 cnf(fact_split__zdiv-12, axiom, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9158), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9154, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9156 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9158), skolem171(_u9158, _u9156, _u9154))), skolem172(_u9158, _u9156, _u9154))) )).
% 39.89/40.07 cnf(fact_split__zdiv-13, axiom, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9158), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9154, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9154, skolem171(_u9158, _u9156, _u9154))) )).
% 39.89/40.07 cnf(fact_split__zdiv-14, axiom, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9158), skolem174(_u9158, _u9156, _u9154))) | ( _u9158 = 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)), _u9158)) )).
% 39.89/40.07 cnf(fact_split__zdiv-15, axiom, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9158), skolem174(_u9158, _u9156, _u9154))) | ( _u9158 = 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)), skolem172(_u9158, _u9156, _u9154))) )).
% 39.89/40.07 cnf(fact_split__zdiv-16, axiom, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9158), skolem174(_u9158, _u9156, _u9154))) | ( _u9158 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem172(_u9158, _u9156, _u9154)), _u9158)) )).
% 39.89/40.07 cnf(fact_split__zdiv-17, axiom, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9158), skolem174(_u9158, _u9156, _u9154))) | ( _u9158 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9156 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9158), skolem171(_u9158, _u9156, _u9154))), skolem172(_u9158, _u9156, _u9154))) )).
% 39.89/40.07 cnf(fact_split__zdiv-18, axiom, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9158), skolem174(_u9158, _u9156, _u9154))) | ( _u9158 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u9154, skolem171(_u9158, _u9156, _u9154))) )).
% 39.89/40.07 cnf(fact_split__zdiv-19, axiom, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem174(_u9158, _u9156, _u9154)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9158 = 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)), _u9158)) )).
% 39.89/40.07 cnf(fact_split__zdiv-20, axiom, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem174(_u9158, _u9156, _u9154)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9158 = 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)), skolem172(_u9158, _u9156, _u9154))) )).
% 39.89/40.07 cnf(fact_split__zdiv-21, axiom, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem174(_u9158, _u9156, _u9154)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9158 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem172(_u9158, _u9156, _u9154)), _u9158)) )).
% 39.89/40.07 cnf(fact_split__zdiv-22, axiom, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem174(_u9158, _u9156, _u9154)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9158 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9156 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9158), skolem171(_u9158, _u9156, _u9154))), skolem172(_u9158, _u9156, _u9154))) )).
% 39.89/40.07 cnf(fact_split__zdiv-23, axiom, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem174(_u9158, _u9156, _u9154)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9158 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u9154, skolem171(_u9158, _u9156, _u9154))) )).
% 39.89/40.07 cnf(fact_split__zdiv-24, axiom, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | ( _u9156 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9158), skolem173(_u9158, _u9156, _u9154))), skolem174(_u9158, _u9156, _u9154))) | ( _u9158 = 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)), _u9158)) )).
% 39.89/40.07 cnf(fact_split__zdiv-25, axiom, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | ( _u9156 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9158), skolem173(_u9158, _u9156, _u9154))), skolem174(_u9158, _u9156, _u9154))) | ( _u9158 = 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)), skolem172(_u9158, _u9156, _u9154))) )).
% 39.89/40.07 cnf(fact_split__zdiv-26, axiom, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | ( _u9156 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9158), skolem173(_u9158, _u9156, _u9154))), skolem174(_u9158, _u9156, _u9154))) | ( _u9158 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem172(_u9158, _u9156, _u9154)), _u9158)) )).
% 39.89/40.07 cnf(fact_split__zdiv-27, axiom, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | ( _u9156 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9158), skolem173(_u9158, _u9156, _u9154))), skolem174(_u9158, _u9156, _u9154))) | ( _u9158 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9156 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9158), skolem171(_u9158, _u9156, _u9154))), skolem172(_u9158, _u9156, _u9154))) )).
% 39.89/40.07 cnf(fact_split__zdiv-28, axiom, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | ( _u9156 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9158), skolem173(_u9158, _u9156, _u9154))), skolem174(_u9158, _u9156, _u9154))) | ( _u9158 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u9154, skolem171(_u9158, _u9156, _u9154))) )).
% 39.89/40.07 cnf(fact_split__zdiv-29, axiom, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | ~hBOOL(hAPP(_u9154, skolem173(_u9158, _u9156, _u9154))) | ( _u9158 = 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)), _u9158)) )).
% 39.89/40.07 cnf(fact_split__zdiv-30, axiom, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | ~hBOOL(hAPP(_u9154, skolem173(_u9158, _u9156, _u9154))) | ( _u9158 = 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)), skolem172(_u9158, _u9156, _u9154))) )).
% 39.89/40.07 cnf(fact_split__zdiv-31, axiom, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | ~hBOOL(hAPP(_u9154, skolem173(_u9158, _u9156, _u9154))) | ( _u9158 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem172(_u9158, _u9156, _u9154)), _u9158)) )).
% 39.89/40.07 cnf(fact_split__zdiv-32, axiom, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | ~hBOOL(hAPP(_u9154, skolem173(_u9158, _u9156, _u9154))) | ( _u9158 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9156 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9158), skolem171(_u9158, _u9156, _u9154))), skolem172(_u9158, _u9156, _u9154))) )).
% 39.89/40.07 cnf(fact_split__zdiv-33, axiom, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | ~hBOOL(hAPP(_u9154, skolem173(_u9158, _u9156, _u9154))) | ( _u9158 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u9154, skolem171(_u9158, _u9156, _u9154))) )).
% 39.89/40.07 cnf(fact_split__zdiv-34, axiom, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9158), skolem174(_u9158, _u9156, _u9154))) | ~hBOOL(hAPP(_u9154, 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)), _u9158)) )).
% 39.89/40.07 cnf(fact_split__zdiv-35, axiom, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9158), skolem174(_u9158, _u9156, _u9154))) | ~hBOOL(hAPP(_u9154, 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)), skolem172(_u9158, _u9156, _u9154))) )).
% 39.89/40.07 cnf(fact_split__zdiv-36, axiom, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9158), skolem174(_u9158, _u9156, _u9154))) | ~hBOOL(hAPP(_u9154, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem172(_u9158, _u9156, _u9154)), _u9158)) )).
% 39.89/40.07 cnf(fact_split__zdiv-37, axiom, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9158), skolem174(_u9158, _u9156, _u9154))) | ~hBOOL(hAPP(_u9154, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9156 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9158), skolem171(_u9158, _u9156, _u9154))), skolem172(_u9158, _u9156, _u9154))) )).
% 39.89/40.07 cnf(fact_split__zdiv-38, axiom, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9158), skolem174(_u9158, _u9156, _u9154))) | ~hBOOL(hAPP(_u9154, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9154, skolem171(_u9158, _u9156, _u9154))) )).
% 39.89/40.07 cnf(fact_split__zdiv-39, axiom, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem174(_u9158, _u9156, _u9154)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9154, 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)), _u9158)) )).
% 39.89/40.07 cnf(fact_split__zdiv-40, axiom, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem174(_u9158, _u9156, _u9154)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9154, 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)), skolem172(_u9158, _u9156, _u9154))) )).
% 39.89/40.07 cnf(fact_split__zdiv-41, axiom, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem174(_u9158, _u9156, _u9154)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9154, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem172(_u9158, _u9156, _u9154)), _u9158)) )).
% 39.89/40.07 cnf(fact_split__zdiv-42, axiom, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem174(_u9158, _u9156, _u9154)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9154, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9156 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9158), skolem171(_u9158, _u9156, _u9154))), skolem172(_u9158, _u9156, _u9154))) )).
% 39.89/40.07 cnf(fact_split__zdiv-43, axiom, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem174(_u9158, _u9156, _u9154)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9154, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9154, skolem171(_u9158, _u9156, _u9154))) )).
% 39.89/40.07 cnf(fact_split__zdiv-44, axiom, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | ( _u9156 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9158), skolem173(_u9158, _u9156, _u9154))), skolem174(_u9158, _u9156, _u9154))) | ~hBOOL(hAPP(_u9154, 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)), _u9158)) )).
% 39.89/40.07 cnf(fact_split__zdiv-45, axiom, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | ( _u9156 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9158), skolem173(_u9158, _u9156, _u9154))), skolem174(_u9158, _u9156, _u9154))) | ~hBOOL(hAPP(_u9154, 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)), skolem172(_u9158, _u9156, _u9154))) )).
% 39.89/40.07 cnf(fact_split__zdiv-46, axiom, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | ( _u9156 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9158), skolem173(_u9158, _u9156, _u9154))), skolem174(_u9158, _u9156, _u9154))) | ~hBOOL(hAPP(_u9154, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem172(_u9158, _u9156, _u9154)), _u9158)) )).
% 39.89/40.07 cnf(fact_split__zdiv-47, axiom, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | ( _u9156 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9158), skolem173(_u9158, _u9156, _u9154))), skolem174(_u9158, _u9156, _u9154))) | ~hBOOL(hAPP(_u9154, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9156 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9158), skolem171(_u9158, _u9156, _u9154))), skolem172(_u9158, _u9156, _u9154))) )).
% 39.89/40.07 cnf(fact_split__zdiv-48, axiom, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | ( _u9156 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9158), skolem173(_u9158, _u9156, _u9154))), skolem174(_u9158, _u9156, _u9154))) | ~hBOOL(hAPP(_u9154, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9154, skolem171(_u9158, _u9156, _u9154))) )).
% 39.89/40.07 cnf(fact_split__zdiv-49, axiom, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | ~hBOOL(hAPP(_u9154, skolem173(_u9158, _u9156, _u9154))) | ~hBOOL(hAPP(_u9154, 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)), _u9158)) )).
% 39.89/40.07 cnf(fact_split__zdiv-50, axiom, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | ~hBOOL(hAPP(_u9154, skolem173(_u9158, _u9156, _u9154))) | ~hBOOL(hAPP(_u9154, 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)), skolem172(_u9158, _u9156, _u9154))) )).
% 39.89/40.07 cnf(fact_split__zdiv-51, axiom, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | ~hBOOL(hAPP(_u9154, skolem173(_u9158, _u9156, _u9154))) | ~hBOOL(hAPP(_u9154, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem172(_u9158, _u9156, _u9154)), _u9158)) )).
% 39.89/40.07 cnf(fact_split__zdiv-52, axiom, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | ~hBOOL(hAPP(_u9154, skolem173(_u9158, _u9156, _u9154))) | ~hBOOL(hAPP(_u9154, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9156 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9158), skolem171(_u9158, _u9156, _u9154))), skolem172(_u9158, _u9156, _u9154))) )).
% 39.89/40.07 cnf(fact_split__zdiv-53, axiom, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | ~hBOOL(hAPP(_u9154, skolem173(_u9158, _u9156, _u9154))) | ~hBOOL(hAPP(_u9154, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9154, skolem171(_u9158, _u9156, _u9154))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_min__max_OInf__fin_Oinsert ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_min__max_OInf__fin_Oinsert-1, axiom, ( ~class_Orderings_Olinorder(_u9159) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9159), _u9160)) | hBOOL(hAPP(hAPP(c_member(_u9159), _u9161), _u9160)) | ( _u9160 = c_Orderings_Obot__class_Obot(tc_fun(_u9159, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u9159, c_Orderings_Oord__class_Omin(_u9159), hAPP(hAPP(c_Set_Oinsert(_u9159), _u9161), _u9160)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9159), _u9161), c_Big__Operators_Olattice_OInf__fin(_u9159, c_Orderings_Oord__class_Omin(_u9159), _u9160))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_ivl__disj__un_I15_J ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_ivl__disj__un_I15_J-1, axiom, ( ~class_Orderings_Olinorder(_u9162) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9162), _u9163), _u9164)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9162), _u9164), _u9165)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9162, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u9162, _u9163, _u9164)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u9162, _u9164), _u9165)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u9162, _u9163, _u9165)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_min__max_OInf__fin_Oinsert__remove ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_min__max_OInf__fin_Oinsert__remove-1, axiom, ( ~class_Orderings_Olinorder(_u9166) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9166), _u9167)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9166, tc_HOL_Obool)), _u9167), hAPP(hAPP(c_Set_Oinsert(_u9166), _u9168), c_Orderings_Obot__class_Obot(tc_fun(_u9166, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u9166, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u9166, c_Orderings_Oord__class_Omin(_u9166), hAPP(hAPP(c_Set_Oinsert(_u9166), _u9168), _u9167)) = _u9168) )).
% 39.89/40.07 cnf(fact_min__max_OInf__fin_Oinsert__remove-2, axiom, ( ~class_Orderings_Olinorder(_u9166) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9166), _u9167)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9166, tc_HOL_Obool)), _u9167), hAPP(hAPP(c_Set_Oinsert(_u9166), _u9168), c_Orderings_Obot__class_Obot(tc_fun(_u9166, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u9166, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u9166, c_Orderings_Oord__class_Omin(_u9166), hAPP(hAPP(c_Set_Oinsert(_u9166), _u9168), _u9167)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9166), _u9168), c_Big__Operators_Olattice_OInf__fin(_u9166, c_Orderings_Oord__class_Omin(_u9166), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9166, tc_HOL_Obool)), _u9167), hAPP(hAPP(c_Set_Oinsert(_u9166), _u9168), c_Orderings_Obot__class_Obot(tc_fun(_u9166, tc_HOL_Obool))))))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_min__max_OInf__fin_Ounion__disjoint ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_min__max_OInf__fin_Ounion__disjoint-1, axiom, ( ~class_Orderings_Olinorder(_u9169) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9169), _u9170)) | ( _u9170 = c_Orderings_Obot__class_Obot(tc_fun(_u9169, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9169), _u9171)) | ( _u9171 = c_Orderings_Obot__class_Obot(tc_fun(_u9169, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9169, tc_HOL_Obool)), _u9170), _u9171) != c_Orderings_Obot__class_Obot(tc_fun(_u9169, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u9169, c_Orderings_Oord__class_Omin(_u9169), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9169, tc_HOL_Obool)), _u9170), _u9171)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9169), c_Big__Operators_Olattice_OInf__fin(_u9169, c_Orderings_Oord__class_Omin(_u9169), _u9170)), c_Big__Operators_Olattice_OInf__fin(_u9169, c_Orderings_Oord__class_Omin(_u9169), _u9171))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_min__max_OInf__fin_Ounion__inter ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_min__max_OInf__fin_Ounion__inter-1, axiom, ( ~class_Orderings_Olinorder(_u9172) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9172), _u9173)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9172), _u9174)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9172, tc_HOL_Obool)), _u9173), _u9174) = c_Orderings_Obot__class_Obot(tc_fun(_u9172, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9172), c_Big__Operators_Olattice_OInf__fin(_u9172, c_Orderings_Oord__class_Omin(_u9172), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9172, tc_HOL_Obool)), _u9173), _u9174))), c_Big__Operators_Olattice_OInf__fin(_u9172, c_Orderings_Oord__class_Omin(_u9172), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9172, tc_HOL_Obool)), _u9173), _u9174))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9172), c_Big__Operators_Olattice_OInf__fin(_u9172, c_Orderings_Oord__class_Omin(_u9172), _u9173)), c_Big__Operators_Olattice_OInf__fin(_u9172, c_Orderings_Oord__class_Omin(_u9172), _u9174))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_com_Osize_I14_J ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_com_Osize_I14_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OWhile(_u9175, _u9176)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), _u9176)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_com_Osize_I13_J ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_com_Osize_I13_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OCond(_u9177, _u9178, _u9179)) = 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), _u9178)), hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), _u9179))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_com_Osize_I11_J ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_com_Osize_I11_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OLocal(_u9180, _u9181, _u9182)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), _u9182)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_z3div__def ( axiom ) converted to clauses:
% 39.89/40.07 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)), _u9185)) | ( c_SMT_Oz3div(_u9187, _u9185) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9187), _u9185)) )).
% 39.89/40.07 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)), _u9186)) | ( c_SMT_Oz3div(_u9188, _u9186) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9188), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9186)))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_norm__frac_Osimps ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_norm__frac_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9191), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u9193, _u9191) = c_Nitpick_Onorm__frac(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9193), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9191))) )).
% 39.89/40.07 cnf(fact_norm__frac_Osimps-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9192), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u9194, _u9192) = 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))) | ( _u9194 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 39.89/40.07 cnf(fact_norm__frac_Osimps-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9192), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u9194, _u9192) = 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))) | ( _u9192 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 39.89/40.07 cnf(fact_norm__frac_Osimps-4, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9192), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9194 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9192 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Nitpick_Onorm__frac(_u9194, _u9192) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), hAPP(hAPP(c_Nitpick_Oint__gcd, _u9194), _u9192)), 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), _u9194))), hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9192)))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_min__max_OInf__fin_Oclosed ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_min__max_OInf__fin_Oclosed-1, axiom, ( ~class_Orderings_Olinorder(_u9197) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9197), _u9198)) | ( _u9198 = c_Orderings_Obot__class_Obot(tc_fun(_u9197, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u9197), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9197), skolem175(_u9198, _u9197)), skolem176(_u9198, _u9197))), hAPP(hAPP(c_Set_Oinsert(_u9197), skolem175(_u9198, _u9197)), hAPP(hAPP(c_Set_Oinsert(_u9197), skolem176(_u9198, _u9197)), c_Orderings_Obot__class_Obot(tc_fun(_u9197, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u9197), c_Big__Operators_Olattice_OInf__fin(_u9197, c_Orderings_Oord__class_Omin(_u9197), _u9198)), _u9198)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_zmult2__lemma ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_zmult2__lemma-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u9199, _u9200), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u9201), _u9202))) | ( _u9200 = 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)), _u9203)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u9199, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9200), _u9203)), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9201), _u9203)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9200), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9201, _u9203))), _u9202)))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_min__max_Osup__Inf1__distrib ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_min__max_Osup__Inf1__distrib-1, axiom, ( ~class_Orderings_Olinorder(_u9204) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9204), _u9205)) | ( _u9205 = c_Orderings_Obot__class_Obot(tc_fun(_u9204, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9204), _u9206), c_Big__Operators_Olattice_OInf__fin(_u9204, c_Orderings_Oord__class_Omin(_u9204), _u9205)) = c_Big__Operators_Olattice_OInf__fin(_u9204, c_Orderings_Oord__class_Omin(_u9204), hAPP(c_Set_OCollect(_u9204), hAPP(hAPP(c_COMBB(tc_fun(_u9204, tc_HOL_Obool), tc_HOL_Obool, _u9204), c_HOL_OEx(_u9204)), hAPP(hAPP(c_COMBC(_u9204, tc_fun(_u9204, tc_HOL_Obool), tc_fun(_u9204, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9204, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u9204, tc_HOL_Obool), tc_fun(_u9204, tc_HOL_Obool)), _u9204), c_COMBS(_u9204, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9204, tc_HOL_Obool), tc_fun(_u9204, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u9204), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9204), c_fconj)), hAPP(hAPP(c_COMBC(_u9204, tc_fun(_u9204, _u9204), tc_fun(_u9204, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9204, tc_HOL_Obool), tc_fun(tc_fun(_u9204, _u9204), tc_fun(_u9204, tc_HOL_Obool)), _u9204), c_COMBB(_u9204, tc_HOL_Obool, _u9204)), c_fequal)), hAPP(c_Orderings_Oord__class_Omax(_u9204), _u9206))))), hAPP(hAPP(c_COMBC(_u9204, tc_fun(_u9204, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9204)), _u9205)))))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_div__le__mono ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_div__le__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9207), _u9208)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9207), _u9209)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9208), _u9209))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_div__le__dividend ( axiom ) converted to clauses:
% 39.89/40.07 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), _u9210), _u9211)), _u9210)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_div__mult2__eq ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_div__mult2__eq-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9212), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9213), _u9214)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9212), _u9213)), _u9214)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_min__max_Oinf__sup__distrib2 ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_min__max_Oinf__sup__distrib2-1, axiom, ( ~class_Orderings_Olinorder(_u9215) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9215), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9215), _u9216), _u9217)), _u9218) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9215), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9215), _u9216), _u9218)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9215), _u9217), _u9218))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_min__max_Osup__inf__distrib2 ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_min__max_Osup__inf__distrib2-1, axiom, ( ~class_Orderings_Olinorder(_u9219) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9219), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9219), _u9220), _u9221)), _u9222) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9219), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9219), _u9220), _u9222)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9219), _u9221), _u9222))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_min__max_Oinf__sup__distrib1 ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_min__max_Oinf__sup__distrib1-1, axiom, ( ~class_Orderings_Olinorder(_u9223) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9223), _u9224), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9223), _u9225), _u9226)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9223), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9223), _u9224), _u9225)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9223), _u9224), _u9226))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_min__max_Osup__inf__distrib1 ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_min__max_Osup__inf__distrib1-1, axiom, ( ~class_Orderings_Olinorder(_u9227) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9227), _u9228), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9227), _u9229), _u9230)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9227), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9227), _u9228), _u9229)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9227), _u9228), _u9230))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_min__max_Oinf__sup__absorb ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_min__max_Oinf__sup__absorb-1, axiom, ( ~class_Orderings_Olinorder(_u9231) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9231), _u9232), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9231), _u9232), _u9233)) = _u9232) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_min__max_Osup__inf__absorb ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_min__max_Osup__inf__absorb-1, axiom, ( ~class_Orderings_Olinorder(_u9234) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9234), _u9235), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9234), _u9235), _u9236)) = _u9235) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_max__add__distrib__left ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_max__add__distrib__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u9237) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9237), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9237), _u9238), _u9239)), _u9240) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9237), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9237), _u9238), _u9240)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9237), _u9239), _u9240))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_max__diff__distrib__left ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_max__diff__distrib__left-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u9241) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9241), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9241), _u9242), _u9243)), _u9244) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9241), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9241), _u9242), _u9244)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9241), _u9243), _u9244))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_max__0R ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_max__0R-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u9245), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u9245) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_max__0L ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_max__0L-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9246) = _u9246) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_min__max_Osup_Oidem ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_min__max_Osup_Oidem-1, axiom, ( ~class_Orderings_Olinorder(_u9247) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9247), _u9248), _u9248) = _u9248) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_min__max_Osup_Ocommute ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_min__max_Osup_Ocommute-1, axiom, ( ~class_Orderings_Olinorder(_u9249) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9249), _u9250), _u9251) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9249), _u9251), _u9250)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_min__max_Osup__commute ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_min__max_Osup__commute-1, axiom, ( ~class_Orderings_Olinorder(_u9252) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9252), _u9253), _u9254) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9252), _u9254), _u9253)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_min__max_Osup_Oleft__idem ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_min__max_Osup_Oleft__idem-1, axiom, ( ~class_Orderings_Olinorder(_u9255) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9255), _u9256), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9255), _u9256), _u9257)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9255), _u9256), _u9257)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_min__max_Osup__left__idem ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_min__max_Osup__left__idem-1, axiom, ( ~class_Orderings_Olinorder(_u9258) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9258), _u9259), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9258), _u9259), _u9260)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9258), _u9259), _u9260)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_min__max_Osup_Oleft__commute ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_min__max_Osup_Oleft__commute-1, axiom, ( ~class_Orderings_Olinorder(_u9261) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9261), _u9262), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9261), _u9263), _u9264)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9261), _u9263), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9261), _u9262), _u9264))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_min__max_Osup__left__commute ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_min__max_Osup__left__commute-1, axiom, ( ~class_Orderings_Olinorder(_u9265) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9265), _u9266), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9265), _u9267), _u9268)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9265), _u9267), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9265), _u9266), _u9268))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_min__max_Osup_Oassoc ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_min__max_Osup_Oassoc-1, axiom, ( ~class_Orderings_Olinorder(_u9269) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9269), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9269), _u9270), _u9271)), _u9272) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9269), _u9270), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9269), _u9271), _u9272))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_min__max_Osup__assoc ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_min__max_Osup__assoc-1, axiom, ( ~class_Orderings_Olinorder(_u9273) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9273), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9273), _u9274), _u9275)), _u9276) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9273), _u9274), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9273), _u9275), _u9276))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_Max_Oidem ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_Max_Oidem-1, axiom, ( ~class_Orderings_Olinorder(_u9277) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9277), _u9278), _u9278) = _u9278) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_max__Suc__Suc ( axiom ) converted to clauses:
% 39.89/40.07 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))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_mod__mod__trivial ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_mod__mod__trivial-1, axiom, ( ~class_Divides_Osemiring__div(_u9281) | ( c_Divides_Odiv__class_Omod(_u9281, c_Divides_Odiv__class_Omod(_u9281, _u9282, _u9283), _u9283) = c_Divides_Odiv__class_Omod(_u9281, _u9282, _u9283)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_zmod__self ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_zmod__self-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9284, _u9284) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_mod__self ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_mod__self-1, axiom, ( ~class_Divides_Osemiring__div(_u9285) | ( c_Divides_Odiv__class_Omod(_u9285, _u9286, _u9286) = c_Groups_Ozero__class_Ozero(_u9285)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_mod__by__0 ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_mod__by__0-1, axiom, ( ~class_Divides_Osemiring__div(_u9287) | ( c_Divides_Odiv__class_Omod(_u9287, _u9288, c_Groups_Ozero__class_Ozero(_u9287)) = _u9288) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_zmod__zero ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_zmod__zero-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u9289) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_mod__0 ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_mod__0-1, axiom, ( ~class_Divides_Osemiring__div(_u9290) | ( c_Divides_Odiv__class_Omod(_u9290, c_Groups_Ozero__class_Ozero(_u9290), _u9291) = c_Groups_Ozero__class_Ozero(_u9290)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_mod__mult__cong ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_mod__mult__cong-1, axiom, ( ~class_Divides_Osemiring__div(_u9292) | ( c_Divides_Odiv__class_Omod(_u9292, _u9293, _u9294) != c_Divides_Odiv__class_Omod(_u9292, _u9295, _u9294)) | ( c_Divides_Odiv__class_Omod(_u9292, _u9296, _u9294) != c_Divides_Odiv__class_Omod(_u9292, _u9297, _u9294)) | ( c_Divides_Odiv__class_Omod(_u9292, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9292), _u9293), _u9296), _u9294) = c_Divides_Odiv__class_Omod(_u9292, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9292), _u9295), _u9297), _u9294)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_zmod__simps_I4_J ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_zmod__simps_I4_J-1, axiom, ( ~class_Divides_Osemiring__div(_u9298) | ( c_Divides_Odiv__class_Omod(_u9298, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9298), c_Divides_Odiv__class_Omod(_u9298, _u9299, _u9300)), _u9301), _u9300) = c_Divides_Odiv__class_Omod(_u9298, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9298), _u9299), _u9301), _u9300)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_mod__mult__mult2 ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_mod__mult__mult2-1, axiom, ( ~class_Divides_Osemiring__div(_u9302) | ( c_Divides_Odiv__class_Omod(_u9302, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9302), _u9303), _u9304), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9302), _u9305), _u9304)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9302), c_Divides_Odiv__class_Omod(_u9302, _u9303, _u9305)), _u9304)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_mod__mult__mult1 ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_mod__mult__mult1-1, axiom, ( ~class_Divides_Osemiring__div(_u9306) | ( c_Divides_Odiv__class_Omod(_u9306, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9306), _u9307), _u9308), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9306), _u9307), _u9309)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9306), _u9307), c_Divides_Odiv__class_Omod(_u9306, _u9308, _u9309))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_mod__mult__eq ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_mod__mult__eq-1, axiom, ( ~class_Divides_Osemiring__div(_u9310) | ( c_Divides_Odiv__class_Omod(_u9310, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9310), _u9311), _u9312), _u9313) = c_Divides_Odiv__class_Omod(_u9310, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9310), c_Divides_Odiv__class_Omod(_u9310, _u9311, _u9313)), c_Divides_Odiv__class_Omod(_u9310, _u9312, _u9313)), _u9313)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_mod__mult__left__eq ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_mod__mult__left__eq-1, axiom, ( ~class_Divides_Osemiring__div(_u9314) | ( c_Divides_Odiv__class_Omod(_u9314, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9314), _u9315), _u9316), _u9317) = c_Divides_Odiv__class_Omod(_u9314, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9314), c_Divides_Odiv__class_Omod(_u9314, _u9315, _u9317)), _u9316), _u9317)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_mod__mult__right__eq ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_mod__mult__right__eq-1, axiom, ( ~class_Divides_Osemiring__div(_u9318) | ( c_Divides_Odiv__class_Omod(_u9318, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9318), _u9319), _u9320), _u9321) = c_Divides_Odiv__class_Omod(_u9318, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9318), _u9319), c_Divides_Odiv__class_Omod(_u9318, _u9320, _u9321)), _u9321)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_mod__add__cong ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_mod__add__cong-1, axiom, ( ~class_Divides_Osemiring__div(_u9322) | ( c_Divides_Odiv__class_Omod(_u9322, _u9323, _u9324) != c_Divides_Odiv__class_Omod(_u9322, _u9325, _u9324)) | ( c_Divides_Odiv__class_Omod(_u9322, _u9326, _u9324) != c_Divides_Odiv__class_Omod(_u9322, _u9327, _u9324)) | ( c_Divides_Odiv__class_Omod(_u9322, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9322), _u9323), _u9326), _u9324) = c_Divides_Odiv__class_Omod(_u9322, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9322), _u9325), _u9327), _u9324)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_zmod__simps_I1_J ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_zmod__simps_I1_J-1, axiom, ( ~class_Divides_Osemiring__div(_u9328) | ( c_Divides_Odiv__class_Omod(_u9328, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9328), c_Divides_Odiv__class_Omod(_u9328, _u9329, _u9330)), _u9331), _u9330) = c_Divides_Odiv__class_Omod(_u9328, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9328), _u9329), _u9331), _u9330)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_zmod__simps_I2_J ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_zmod__simps_I2_J-1, axiom, ( ~class_Divides_Osemiring__div(_u9332) | ( c_Divides_Odiv__class_Omod(_u9332, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9332), _u9333), c_Divides_Odiv__class_Omod(_u9332, _u9334, _u9335)), _u9335) = c_Divides_Odiv__class_Omod(_u9332, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9332), _u9333), _u9334), _u9335)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_mod__add__eq ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_mod__add__eq-1, axiom, ( ~class_Divides_Osemiring__div(_u9336) | ( c_Divides_Odiv__class_Omod(_u9336, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9336), _u9337), _u9338), _u9339) = c_Divides_Odiv__class_Omod(_u9336, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9336), c_Divides_Odiv__class_Omod(_u9336, _u9337, _u9339)), c_Divides_Odiv__class_Omod(_u9336, _u9338, _u9339)), _u9339)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_mod__add__left__eq ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_mod__add__left__eq-1, axiom, ( ~class_Divides_Osemiring__div(_u9340) | ( c_Divides_Odiv__class_Omod(_u9340, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9340), _u9341), _u9342), _u9343) = c_Divides_Odiv__class_Omod(_u9340, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9340), c_Divides_Odiv__class_Omod(_u9340, _u9341, _u9343)), _u9342), _u9343)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_mod__add__right__eq ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_mod__add__right__eq-1, axiom, ( ~class_Divides_Osemiring__div(_u9344) | ( c_Divides_Odiv__class_Omod(_u9344, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9344), _u9345), _u9346), _u9347) = c_Divides_Odiv__class_Omod(_u9344, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9344), _u9345), c_Divides_Odiv__class_Omod(_u9344, _u9346, _u9347)), _u9347)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_mod__add__self1 ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_mod__add__self1-1, axiom, ( ~class_Divides_Osemiring__div(_u9348) | ( c_Divides_Odiv__class_Omod(_u9348, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9348), _u9349), _u9350), _u9349) = c_Divides_Odiv__class_Omod(_u9348, _u9350, _u9349)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_mod__add__self2 ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_mod__add__self2-1, axiom, ( ~class_Divides_Osemiring__div(_u9351) | ( c_Divides_Odiv__class_Omod(_u9351, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9351), _u9352), _u9353), _u9353) = c_Divides_Odiv__class_Omod(_u9351, _u9352, _u9353)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_mod__minus__cong ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_mod__minus__cong-1, axiom, ( ~class_Divides_Oring__div(_u9354) | ( c_Divides_Odiv__class_Omod(_u9354, _u9355, _u9356) != c_Divides_Odiv__class_Omod(_u9354, _u9357, _u9356)) | ( c_Divides_Odiv__class_Omod(_u9354, hAPP(c_Groups_Ouminus__class_Ouminus(_u9354), _u9355), _u9356) = c_Divides_Odiv__class_Omod(_u9354, hAPP(c_Groups_Ouminus__class_Ouminus(_u9354), _u9357), _u9356)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_mod__minus__eq ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_mod__minus__eq-1, axiom, ( ~class_Divides_Oring__div(_u9358) | ( c_Divides_Odiv__class_Omod(_u9358, hAPP(c_Groups_Ouminus__class_Ouminus(_u9358), _u9359), _u9360) = c_Divides_Odiv__class_Omod(_u9358, hAPP(c_Groups_Ouminus__class_Ouminus(_u9358), c_Divides_Odiv__class_Omod(_u9358, _u9359, _u9360)), _u9360)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_mod__diff__right__eq ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_mod__diff__right__eq-1, axiom, ( ~class_Divides_Oring__div(_u9361) | ( c_Divides_Odiv__class_Omod(_u9361, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9361), _u9362), _u9363), _u9364) = c_Divides_Odiv__class_Omod(_u9361, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9361), _u9362), c_Divides_Odiv__class_Omod(_u9361, _u9363, _u9364)), _u9364)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_mod__diff__left__eq ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_mod__diff__left__eq-1, axiom, ( ~class_Divides_Oring__div(_u9365) | ( c_Divides_Odiv__class_Omod(_u9365, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9365), _u9366), _u9367), _u9368) = c_Divides_Odiv__class_Omod(_u9365, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9365), c_Divides_Odiv__class_Omod(_u9365, _u9366, _u9368)), _u9367), _u9368)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_mod__diff__eq ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_mod__diff__eq-1, axiom, ( ~class_Divides_Oring__div(_u9369) | ( c_Divides_Odiv__class_Omod(_u9369, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9369), _u9370), _u9371), _u9372) = c_Divides_Odiv__class_Omod(_u9369, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9369), c_Divides_Odiv__class_Omod(_u9369, _u9370, _u9372)), c_Divides_Odiv__class_Omod(_u9369, _u9371, _u9372)), _u9372)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_mod__diff__cong ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_mod__diff__cong-1, axiom, ( ~class_Divides_Oring__div(_u9373) | ( c_Divides_Odiv__class_Omod(_u9373, _u9374, _u9375) != c_Divides_Odiv__class_Omod(_u9373, _u9376, _u9375)) | ( c_Divides_Odiv__class_Omod(_u9373, _u9377, _u9375) != c_Divides_Odiv__class_Omod(_u9373, _u9378, _u9375)) | ( c_Divides_Odiv__class_Omod(_u9373, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9373), _u9374), _u9377), _u9375) = c_Divides_Odiv__class_Omod(_u9373, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9373), _u9376), _u9378), _u9375)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_max__less__iff__conj ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_max__less__iff__conj-1, axiom, ( ~class_Orderings_Olinorder(_u9379) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9379), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9379), _u9380), _u9381)), _u9382)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9379), _u9380), _u9382)) )).
% 39.89/40.07 cnf(fact_max__less__iff__conj-2, axiom, ( ~class_Orderings_Olinorder(_u9379) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9379), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9379), _u9380), _u9381)), _u9382)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9379), _u9381), _u9382)) )).
% 39.89/40.07 cnf(fact_max__less__iff__conj-3, axiom, ( ~class_Orderings_Olinorder(_u9379) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9379), _u9380), _u9382)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9379), _u9381), _u9382)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9379), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9379), _u9380), _u9381)), _u9382)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_less__max__iff__disj ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_less__max__iff__disj-1, axiom, ( ~class_Orderings_Olinorder(_u9383) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9383), _u9384), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9383), _u9385), _u9386))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9383), _u9384), _u9385)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9383), _u9384), _u9386)) )).
% 39.89/40.07 cnf(fact_less__max__iff__disj-2, axiom, ( ~class_Orderings_Olinorder(_u9383) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9383), _u9384), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9383), _u9385), _u9386))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9383), _u9384), _u9385)) )).
% 39.89/40.07 cnf(fact_less__max__iff__disj-3, axiom, ( ~class_Orderings_Olinorder(_u9383) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9383), _u9384), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9383), _u9385), _u9386))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9383), _u9384), _u9386)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_min__max_Oless__supI2 ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_min__max_Oless__supI2-1, axiom, ( ~class_Orderings_Olinorder(_u9387) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9387), _u9388), _u9389)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9387), _u9388), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9387), _u9390), _u9389))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_min__max_Oless__supI1 ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_min__max_Oless__supI1-1, axiom, ( ~class_Orderings_Olinorder(_u9391) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9391), _u9392), _u9393)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9391), _u9392), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9391), _u9393), _u9394))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_min__max_Ole__supE ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_min__max_Ole__supE-1, axiom, ( ~class_Orderings_Olinorder(_u9395) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9395), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9395), _u9396), _u9397)), _u9398)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9395), _u9396), _u9398)) )).
% 39.89/40.07 cnf(fact_min__max_Ole__supE-2, axiom, ( ~class_Orderings_Olinorder(_u9395) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9395), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9395), _u9396), _u9397)), _u9398)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9395), _u9397), _u9398)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_min__max_Osup__mono ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_min__max_Osup__mono-1, axiom, ( ~class_Orderings_Olinorder(_u9399) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9399), _u9400), _u9401)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9399), _u9402), _u9403)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9399), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9399), _u9400), _u9402)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9399), _u9401), _u9403))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_min__max_Osup__least ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_min__max_Osup__least-1, axiom, ( ~class_Orderings_Olinorder(_u9404) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9404), _u9405), _u9406)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9404), _u9407), _u9406)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9404), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9404), _u9405), _u9407)), _u9406)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_min__max_Ole__supI ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_min__max_Ole__supI-1, axiom, ( ~class_Orderings_Olinorder(_u9408) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9408), _u9409), _u9410)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9408), _u9411), _u9410)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9408), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9408), _u9409), _u9411)), _u9410)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_min__max_Osup__absorb1 ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_min__max_Osup__absorb1-1, axiom, ( ~class_Orderings_Olinorder(_u9412) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9412), _u9413), _u9414)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9412), _u9414), _u9413) = _u9414) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_min__max_Osup__absorb2 ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_min__max_Osup__absorb2-1, axiom, ( ~class_Orderings_Olinorder(_u9415) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9415), _u9416), _u9417)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9415), _u9416), _u9417) = _u9417) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_min__max_Ole__supI2 ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_min__max_Ole__supI2-1, axiom, ( ~class_Orderings_Olinorder(_u9418) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9418), _u9419), _u9420)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9418), _u9419), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9418), _u9421), _u9420))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_min__max_Ole__supI1 ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_min__max_Ole__supI1-1, axiom, ( ~class_Orderings_Olinorder(_u9422) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9422), _u9423), _u9424)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9422), _u9423), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9422), _u9424), _u9425))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_min__max_Ole__sup__iff ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_min__max_Ole__sup__iff-1, axiom, ( ~class_Orderings_Olinorder(_u9426) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9426), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9426), _u9427), _u9428)), _u9429)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9426), _u9427), _u9429)) )).
% 39.89/40.07 cnf(fact_min__max_Ole__sup__iff-2, axiom, ( ~class_Orderings_Olinorder(_u9426) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9426), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9426), _u9427), _u9428)), _u9429)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9426), _u9428), _u9429)) )).
% 39.89/40.07 cnf(fact_min__max_Ole__sup__iff-3, axiom, ( ~class_Orderings_Olinorder(_u9426) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9426), _u9427), _u9429)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9426), _u9428), _u9429)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9426), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9426), _u9427), _u9428)), _u9429)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_min__max_Ole__iff__sup ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_min__max_Ole__iff__sup-1, axiom, ( ~class_Orderings_Olinorder(_u9430) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9430), _u9431), _u9432)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9430), _u9431), _u9432) = _u9432) )).
% 39.89/40.07 cnf(fact_min__max_Ole__iff__sup-2, axiom, ( ~class_Orderings_Olinorder(_u9430) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9430), _u9431), _u9432) != _u9432) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9430), _u9431), _u9432)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_le__maxI2 ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_le__maxI2-1, axiom, ( ~class_Orderings_Olinorder(_u9433) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9433), _u9434), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9433), _u9435), _u9434))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_le__maxI1 ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_le__maxI1-1, axiom, ( ~class_Orderings_Olinorder(_u9436) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9436), _u9437), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9436), _u9437), _u9438))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_le__max__iff__disj ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_le__max__iff__disj-1, axiom, ( ~class_Orderings_Olinorder(_u9439) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9439), _u9440), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9439), _u9441), _u9442))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9439), _u9440), _u9441)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9439), _u9440), _u9442)) )).
% 39.89/40.07 cnf(fact_le__max__iff__disj-2, axiom, ( ~class_Orderings_Olinorder(_u9439) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9439), _u9440), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9439), _u9441), _u9442))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9439), _u9440), _u9441)) )).
% 39.89/40.07 cnf(fact_le__max__iff__disj-3, axiom, ( ~class_Orderings_Olinorder(_u9439) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9439), _u9440), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9439), _u9441), _u9442))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9439), _u9440), _u9442)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_zminus__zmod ( axiom ) converted to clauses:
% 39.89/40.07 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, _u9443, _u9444)), _u9444) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9443), _u9444)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_zmod__zminus__zminus ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_zmod__zminus__zminus-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9445), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9446)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9445, _u9446))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_zmod__zminus2 ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_zmod__zminus2-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9447, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9448)) = 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), _u9447), _u9448))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_zdiff__zmod__left ( axiom ) converted to clauses:
% 39.89/40.07 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, _u9449, _u9450)), _u9451), _u9450) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9449), _u9451), _u9450)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_zdiff__zmod__right ( axiom ) converted to clauses:
% 39.89/40.07 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), _u9452), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9453, _u9454)), _u9454) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9452), _u9453), _u9454)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_zmod__simps_I3_J ( axiom ) converted to clauses:
% 39.89/40.07 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), _u9455), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9456, _u9457)), _u9457) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9455), _u9456), _u9457)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_zmod__zmult1__eq ( axiom ) converted to clauses:
% 39.89/40.07 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), _u9458), _u9459), _u9460) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9458), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9459, _u9460)), _u9460)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_sup__max ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_sup__max-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u9461) | ~class_Orderings_Olinorder(_u9461) | ( c_Lattices_Osemilattice__sup__class_Osup(_u9461) = c_Orderings_Oord__class_Omax(_u9461)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_max__of__mono ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_max__of__mono-1, axiom, ( ~class_Orderings_Olinorder(_u9462) | ~class_Orderings_Olinorder(_u9463) | ~c_Orderings_Oorder__class_Omono(_u9463, _u9462, _u9464) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9462), hAPP(_u9464, _u9465)), hAPP(_u9464, _u9466)) = hAPP(_u9464, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9463), _u9465), _u9466))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_zpower__zmod ( axiom ) converted to clauses:
% 39.89/40.07 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, _u9467, _u9468)), _u9469), _u9468) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u9467), _u9469), _u9468)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_min__max_Ofun__left__comm__idem__sup ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_min__max_Ofun__left__comm__idem__sup-1, axiom, ( ~class_Orderings_Olinorder(_u9470) | c_Finite__Set_Ofun__left__comm__idem(_u9470, _u9470, c_Orderings_Oord__class_Omax(_u9470)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_mod__mult__self1__is__0 ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_mod__mult__self1__is__0-1, axiom, ( ~class_Divides_Osemiring__div(_u9471) | ( c_Divides_Odiv__class_Omod(_u9471, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9471), _u9472), _u9473), _u9472) = c_Groups_Ozero__class_Ozero(_u9471)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_mod__mult__self2__is__0 ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_mod__mult__self2__is__0-1, axiom, ( ~class_Divides_Osemiring__div(_u9474) | ( c_Divides_Odiv__class_Omod(_u9474, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9474), _u9475), _u9476), _u9476) = c_Groups_Ozero__class_Ozero(_u9474)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_mod__mult__self1 ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_mod__mult__self1-1, axiom, ( ~class_Divides_Osemiring__div(_u9477) | ( c_Divides_Odiv__class_Omod(_u9477, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9477), _u9478), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9477), _u9479), _u9480)), _u9480) = c_Divides_Odiv__class_Omod(_u9477, _u9478, _u9480)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_mod__mult__self2 ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_mod__mult__self2-1, axiom, ( ~class_Divides_Osemiring__div(_u9481) | ( c_Divides_Odiv__class_Omod(_u9481, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9481), _u9482), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9481), _u9483), _u9484)), _u9483) = c_Divides_Odiv__class_Omod(_u9481, _u9482, _u9483)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_mod__by__1 ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_mod__by__1-1, axiom, ( ~class_Divides_Osemiring__div(_u9485) | ( c_Divides_Odiv__class_Omod(_u9485, _u9486, c_Groups_Oone__class_Oone(_u9485)) = c_Groups_Ozero__class_Ozero(_u9485)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_mod__div__trivial ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_mod__div__trivial-1, axiom, ( ~class_Divides_Osemiring__div(_u9487) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9487), c_Divides_Odiv__class_Omod(_u9487, _u9488, _u9489)), _u9489) = c_Groups_Ozero__class_Ozero(_u9487)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_div__1 ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_div__1-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9490), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = _u9490) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_div__less ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_div__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9491), _u9492)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9491), _u9492) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_nat__mult__div__cancel__disj ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_nat__mult__div__cancel__disj-1, axiom, ( ( _u9496 != 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), _u9496), _u9498)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9496), _u9500)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.07 cnf(fact_nat__mult__div__cancel__disj-2, axiom, ( ( _u9497 = 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), _u9497), _u9499)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9497), _u9501)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9499), _u9501)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_min__max_Odistrib__sup__le ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_min__max_Odistrib__sup__le-1, axiom, ( ~class_Orderings_Olinorder(_u9502) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9502), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9502), _u9503), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9502), _u9504), _u9505))), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9502), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9502), _u9503), _u9504)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9502), _u9503), _u9505)))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_min__max_Odistrib__inf__le ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_min__max_Odistrib__inf__le-1, axiom, ( ~class_Orderings_Olinorder(_u9506) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9506), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9506), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9506), _u9507), _u9508)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9506), _u9507), _u9509))), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9506), _u9507), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9506), _u9508), _u9509)))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_Divides_Otransfer__nat__int__function__closures_I2_J ( axiom ) converted to clauses:
% 39.89/40.07 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)), _u9510)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9511)) | 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, _u9510, _u9511))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_zmod__le__nonneg__dividend ( axiom ) converted to clauses:
% 39.89/40.07 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)), _u9512)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9512, _u9513)), _u9512)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_pos__mod__bound ( axiom ) converted to clauses:
% 39.89/40.07 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)), _u9514)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9515, _u9514)), _u9514)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_neg__mod__bound ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_neg__mod__bound-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9516), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9516), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9517, _u9516))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_minus__max__eq__min ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_minus__max__eq__min-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u9518) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u9518), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9518), _u9519), _u9520)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9518), hAPP(c_Groups_Ouminus__class_Ouminus(_u9518), _u9519)), hAPP(c_Groups_Ouminus__class_Ouminus(_u9518), _u9520))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_minus__min__eq__max ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_minus__min__eq__max-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u9521) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u9521), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9521), _u9522), _u9523)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9521), hAPP(c_Groups_Ouminus__class_Ouminus(_u9521), _u9522)), hAPP(c_Groups_Ouminus__class_Ouminus(_u9521), _u9523))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_zdiv__int ( axiom ) converted to clauses:
% 39.89/40.07 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), _u9524), _u9525)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9524)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9525))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_Divides_Otransfer__int__nat__functions_I1_J ( axiom ) converted to clauses:
% 39.89/40.07 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), _u9526)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9527)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9526), _u9527))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_nat__minus__add__max ( axiom ) converted to clauses:
% 39.89/40.07 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), _u9528), _u9529)), _u9529) = hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u9528), _u9529)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_zmod__eq__0__iff ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_zmod__eq__0__iff-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9534, _u9536) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9534 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9536), skolem177(_u9536, _u9534))) )).
% 39.89/40.07 cnf(fact_zmod__eq__0__iff-2, axiom, ( ( _u9535 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9537), _u9531)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9535, _u9537) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_zmod__zminus1__not__zero ( axiom ) converted to clauses:
% 39.89/40.07 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), _u9538), _u9539) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9538, _u9539) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_zmod__zminus2__not__zero ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_zmod__zminus2__not__zero-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9540, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9541)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9540, _u9541) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_zmod__zdiv__trivial ( axiom ) converted to clauses:
% 39.89/40.07 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, _u9542, _u9543)), _u9543) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_DIVISION__BY__ZERO ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_DIVISION__BY__ZERO-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9545), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 39.89/40.07 cnf(fact_DIVISION__BY__ZERO-2, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9546, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = _u9546) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_zdiv__zadd1__eq ( axiom ) converted to clauses:
% 39.89/40.07 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), _u9547), _u9548)), _u9549) = 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), _u9547), _u9549)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9548), _u9549))), 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, _u9547, _u9549)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9548, _u9549))), _u9549))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_div__mod__equality ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_div__mod__equality-1, axiom, ( ~class_Divides_Osemiring__div(_u9550) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9550), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9550), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9550), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9550), _u9551), _u9552)), _u9552)), c_Divides_Odiv__class_Omod(_u9550, _u9551, _u9552))), _u9553) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9550), _u9551), _u9553)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_div__mod__equality2 ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_div__mod__equality2-1, axiom, ( ~class_Divides_Osemiring__div(_u9554) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9554), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9554), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9554), _u9555), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9554), _u9556), _u9555))), c_Divides_Odiv__class_Omod(_u9554, _u9556, _u9555))), _u9557) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9554), _u9556), _u9557)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_mod__div__equality ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_mod__div__equality-1, axiom, ( ~class_Divides_Osemiring__div(_u9558) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9558), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9558), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9558), _u9559), _u9560)), _u9560)), c_Divides_Odiv__class_Omod(_u9558, _u9559, _u9560)) = _u9559) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_mod__div__equality2 ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_mod__div__equality2-1, axiom, ( ~class_Divides_Osemiring__div(_u9561) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9561), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9561), _u9562), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9561), _u9563), _u9562))), c_Divides_Odiv__class_Omod(_u9561, _u9563, _u9562)) = _u9563) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_semiring__div__class_Omod__div__equality_H ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_semiring__div__class_Omod__div__equality_H-1, axiom, ( ~class_Divides_Osemiring__div(_u9564) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9564), c_Divides_Odiv__class_Omod(_u9564, _u9565, _u9566)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9564), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9564), _u9565), _u9566)), _u9566)) = _u9565) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_div__le__mono2 ( axiom ) converted to clauses:
% 39.89/40.07 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)), _u9567)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9567), _u9568)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9569), _u9568)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9569), _u9567))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_div__mult__self__is__m ( axiom ) converted to clauses:
% 39.89/40.07 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)), _u9570)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9571), _u9570)), _u9570) = _u9571) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_div__mult__self1__is__m ( axiom ) converted to clauses:
% 39.89/40.07 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)), _u9572)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9572), _u9573)), _u9572) = _u9573) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_nat__mult__div__cancel1 ( axiom ) converted to clauses:
% 39.89/40.07 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)), _u9574)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9574), _u9575)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9574), _u9576)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9575), _u9576)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_div__less__dividend ( axiom ) converted to clauses:
% 39.89/40.07 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)), _u9577)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9578)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9578), _u9577)), _u9578)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_pos__mod__sign ( axiom ) converted to clauses:
% 39.89/40.07 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)), _u9579)) | 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, _u9580, _u9579))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_pos__mod__conj ( axiom ) converted to clauses:
% 39.89/40.07 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)), _u9581)) | 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, _u9582, _u9581))) )).
% 39.89/40.07 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)), _u9581)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9582, _u9581)), _u9581)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_mod__pos__pos__trivial ( axiom ) converted to clauses:
% 39.89/40.07 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)), _u9583)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9583), _u9584)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9583, _u9584) = _u9583) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_neg__mod__sign ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_neg__mod__sign-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9585), 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, _u9586, _u9585)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_neg__mod__conj ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_neg__mod__conj-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9587), 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, _u9588, _u9587)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.89/40.07 cnf(fact_neg__mod__conj-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9587), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9587), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9588, _u9587))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_mod__neg__neg__trivial ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_mod__neg__neg__trivial-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9589), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9590), _u9589)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9589, _u9590) = _u9589) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_max__ord__max ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_max__ord__max-1, axiom, ( ~class_Orderings_Oord(_u9591) | ( c_Orderings_Oord__class_Omax(_u9591) = c_Orderings_Oord_Omax(_u9591, c_Orderings_Oord__class_Oless__eq(_u9591))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_Max_Oin__idem ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_Max_Oin__idem-1, axiom, ( ~class_Orderings_Olinorder(_u9592) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9592), _u9593)) | ~hBOOL(hAPP(hAPP(c_member(_u9592), _u9594), _u9593)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9592), _u9594), c_Big__Operators_Olinorder__class_OMax(_u9592, _u9593)) = c_Big__Operators_Olinorder__class_OMax(_u9592, _u9593)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_min__max_Omono__sup ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_min__max_Omono__sup-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u9595) | ~class_Orderings_Olinorder(_u9596) | ~c_Orderings_Oorder__class_Omono(_u9596, _u9595, _u9597) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9595), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9595), hAPP(_u9597, _u9598)), hAPP(_u9597, _u9599))), hAPP(_u9597, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9596), _u9598), _u9599)))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_Int__atLeastLessThan ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_Int__atLeastLessThan-1, axiom, ( ~class_Orderings_Olinorder(_u9600) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9600, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u9600, _u9601), _u9602)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u9600, _u9603), _u9604)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u9600, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9600), _u9601), _u9603)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9600), _u9602), _u9604))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_zmod__zminus1__eq__if ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_zmod__zminus1__eq__if-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9607, _u9609) != 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), _u9607), _u9609) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 39.89/40.07 cnf(fact_zmod__zminus1__eq__if-2, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9608, _u9610) = 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), _u9608), _u9610) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9610), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9608, _u9610))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_zmod__zminus2__eq__if ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_zmod__zminus2__eq__if-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9613, _u9615) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9613, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9615)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 39.89/40.07 cnf(fact_zmod__zminus2__eq__if-2, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9614, _u9616) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9614, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9616)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9614, _u9616)), _u9616)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_zdiv__zmod__equality2 ( axiom ) converted to clauses:
% 39.89/40.07 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), _u9617), _u9618)), _u9618)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9617, _u9618))), _u9619) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9617), _u9619)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_zdiv__zmod__equality ( axiom ) converted to clauses:
% 39.89/40.07 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), _u9620), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9621), _u9620))), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9621, _u9620))), _u9622) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9621), _u9622)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_zdiv__zmult1__eq ( axiom ) converted to clauses:
% 39.89/40.07 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), _u9623), _u9624)), _u9625) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9623), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9624), _u9625))), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9623), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9624, _u9625))), _u9625))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_zmod__zdiv__equality ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_zmod__zdiv__equality-1, axiom, ( ( _u9626 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9627), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9626), _u9627))), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9626, _u9627))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_zmult__div__cancel ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_zmult__div__cancel-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9628), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9629), _u9628)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9629), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9629, _u9628))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_zmod__zdiv__equality_H ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_zmod__zdiv__equality_H-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9630, _u9631) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9630), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9630), _u9631)), _u9631))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_Int__greaterThanLessThan ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_Int__greaterThanLessThan-1, axiom, ( ~class_Orderings_Olinorder(_u9632) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9632, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u9632, _u9633, _u9634)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u9632, _u9635, _u9636)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u9632, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9632), _u9633), _u9635), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9632), _u9634), _u9636))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_divmod__int__rel__mod ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_divmod__int__rel__mod-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u9637, _u9638), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u9639), _u9640))) | ( _u9638 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9637, _u9638) = _u9640) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_dual__min ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_dual__min-1, axiom, ( ~class_Orderings_Olinorder(_u9641) | ( c_Orderings_Oord_Omin(_u9641, hAPP(c_COMBC(_u9641, _u9641, tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(_u9641))) = c_Orderings_Oord__class_Omax(_u9641)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_div__geq ( axiom ) converted to clauses:
% 39.89/40.07 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)), _u9642)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9643), _u9642)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9643), _u9642) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u9643), _u9642)), _u9642))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_div__if ( axiom ) converted to clauses:
% 39.89/40.07 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)), _u9644)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9645), _u9644)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9645), _u9644) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.07 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)), _u9644)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9645), _u9644)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9645), _u9644) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u9645), _u9644)), _u9644))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_split__div ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_split__div-1, axiom, ( ~hBOOL(hAPP(_u9653, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9655), _u9657))) | ( _u9657 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u9653, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 39.89/40.07 cnf(fact_split__div-2, axiom, ( ~hBOOL(hAPP(_u9653, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9655), _u9657))) | ( _u9657 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9646), _u9657)) | ( _u9655 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9657), _u9647)), _u9646)) | hBOOL(hAPP(_u9653, _u9647)) )).
% 39.89/40.07 cnf(fact_split__div-3, axiom, ( hBOOL(hAPP(_u9654, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9656), _u9658))) | ( _u9658 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem179(_u9658, _u9656, _u9654)), _u9658)) )).
% 39.89/40.07 cnf(fact_split__div-4, axiom, ( hBOOL(hAPP(_u9654, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9656), _u9658))) | ( _u9658 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u9656 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9658), skolem178(_u9658, _u9656, _u9654))), skolem179(_u9658, _u9656, _u9654))) )).
% 39.89/40.07 cnf(fact_split__div-5, axiom, ( hBOOL(hAPP(_u9654, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9656), _u9658))) | ( _u9658 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u9654, skolem178(_u9658, _u9656, _u9654))) )).
% 39.89/40.07 cnf(fact_split__div-6, axiom, ( hBOOL(hAPP(_u9654, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9656), _u9658))) | ~hBOOL(hAPP(_u9654, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u9658 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.07 cnf(fact_split__div-7, axiom, ( hBOOL(hAPP(_u9654, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9656), _u9658))) | ~hBOOL(hAPP(_u9654, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem179(_u9658, _u9656, _u9654)), _u9658)) )).
% 39.89/40.07 cnf(fact_split__div-8, axiom, ( hBOOL(hAPP(_u9654, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9656), _u9658))) | ~hBOOL(hAPP(_u9654, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u9656 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9658), skolem178(_u9658, _u9656, _u9654))), skolem179(_u9658, _u9656, _u9654))) )).
% 39.89/40.07 cnf(fact_split__div-9, axiom, ( hBOOL(hAPP(_u9654, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9656), _u9658))) | ~hBOOL(hAPP(_u9654, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u9654, skolem178(_u9658, _u9656, _u9654))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_mod__pos__neg__trivial ( axiom ) converted to clauses:
% 39.89/40.07 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)), _u9659)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9659), _u9660)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9659, _u9660) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9659), _u9660)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_Max__insert ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_Max__insert-1, axiom, ( ~class_Orderings_Olinorder(_u9661) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9661), _u9662)) | ( _u9662 = c_Orderings_Obot__class_Obot(tc_fun(_u9661, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u9661, hAPP(hAPP(c_Set_Oinsert(_u9661), _u9663), _u9662)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9661), _u9663), c_Big__Operators_Olinorder__class_OMax(_u9661, _u9662))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_Max_Osubset__idem ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_Max_Osubset__idem-1, axiom, ( ~class_Orderings_Olinorder(_u9664) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9664), _u9665)) | ( _u9666 = c_Orderings_Obot__class_Obot(tc_fun(_u9664, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9664, tc_HOL_Obool)), _u9666), _u9665)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9664), c_Big__Operators_Olinorder__class_OMax(_u9664, _u9666)), c_Big__Operators_Olinorder__class_OMax(_u9664, _u9665)) = c_Big__Operators_Olinorder__class_OMax(_u9664, _u9665)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_min__max_Osup__Inf__absorb ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_min__max_Osup__Inf__absorb-1, axiom, ( ~class_Orderings_Olinorder(_u9667) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9667), _u9668)) | ~hBOOL(hAPP(hAPP(c_member(_u9667), _u9669), _u9668)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9667), _u9669), c_Big__Operators_Olattice_OInf__fin(_u9667, c_Orderings_Oord__class_Omin(_u9667), _u9668)) = _u9669) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_Max__Un ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_Max__Un-1, axiom, ( ~class_Orderings_Olinorder(_u9670) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9670), _u9671)) | ( _u9671 = c_Orderings_Obot__class_Obot(tc_fun(_u9670, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9670), _u9672)) | ( _u9672 = c_Orderings_Obot__class_Obot(tc_fun(_u9670, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u9670, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9670, tc_HOL_Obool)), _u9671), _u9672)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9670), c_Big__Operators_Olinorder__class_OMax(_u9670, _u9671)), c_Big__Operators_Olinorder__class_OMax(_u9670, _u9672))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_divmod__int__rel__div__mod ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_divmod__int__rel__div__mod-1, axiom, ( ( _u9673 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u9674, _u9673), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9674), _u9673)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9674, _u9673)))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_le__div__geq ( axiom ) converted to clauses:
% 39.89/40.07 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)), _u9675)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9675), _u9676)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9676), _u9675) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u9676), _u9675)), _u9675))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_split__div_H ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_split__div_H-1, axiom, ( ~hBOOL(hAPP(_u9682, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9684), _u9686))) | ( _u9686 = 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), _u9686), skolem180(_u9686, _u9684, _u9682))), _u9684)) )).
% 39.89/40.07 cnf(fact_split__div_H-2, axiom, ( ~hBOOL(hAPP(_u9682, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9684), _u9686))) | ( _u9686 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9684), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9686), hAPP(c_Nat_OSuc, skolem180(_u9686, _u9684, _u9682))))) )).
% 39.89/40.07 cnf(fact_split__div_H-3, axiom, ( ~hBOOL(hAPP(_u9682, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9684), _u9686))) | ( _u9686 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u9682, skolem180(_u9686, _u9684, _u9682))) )).
% 39.89/40.07 cnf(fact_split__div_H-4, axiom, ( ~hBOOL(hAPP(_u9682, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9684), _u9686))) | hBOOL(hAPP(_u9682, 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), _u9686), skolem180(_u9686, _u9684, _u9682))), _u9684)) )).
% 39.89/40.07 cnf(fact_split__div_H-5, axiom, ( ~hBOOL(hAPP(_u9682, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9684), _u9686))) | hBOOL(hAPP(_u9682, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9684), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9686), hAPP(c_Nat_OSuc, skolem180(_u9686, _u9684, _u9682))))) )).
% 39.89/40.07 cnf(fact_split__div_H-6, axiom, ( ~hBOOL(hAPP(_u9682, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9684), _u9686))) | hBOOL(hAPP(_u9682, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(_u9682, skolem180(_u9686, _u9684, _u9682))) )).
% 39.89/40.07 cnf(fact_split__div_H-7, axiom, ( hBOOL(hAPP(_u9683, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9685), _u9687))) | ( _u9687 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u9683, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 39.89/40.07 cnf(fact_split__div_H-8, axiom, ( hBOOL(hAPP(_u9683, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9685), _u9687))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9687), _u9678)), _u9685)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9685), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9687), hAPP(c_Nat_OSuc, _u9678)))) | ~hBOOL(hAPP(_u9683, _u9678)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_split__div__lemma ( axiom ) converted to clauses:
% 39.89/40.07 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)), _u9688)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9688), _u9689)), _u9690)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9690), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9688), hAPP(c_Nat_OSuc, _u9689)))) | ( _u9689 = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9690), _u9688)) )).
% 39.89/40.07 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)), _u9688)) | ( _u9689 != hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9690), _u9688)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9688), _u9689)), _u9690)) )).
% 39.89/40.07 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)), _u9688)) | ( _u9689 != hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9690), _u9688)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9690), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9688), hAPP(c_Nat_OSuc, _u9689)))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_Max_Oinsert ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_Max_Oinsert-1, axiom, ( ~class_Orderings_Olinorder(_u9691) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9691), _u9692)) | hBOOL(hAPP(hAPP(c_member(_u9691), _u9693), _u9692)) | ( _u9692 = c_Orderings_Obot__class_Obot(tc_fun(_u9691, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u9691, hAPP(hAPP(c_Set_Oinsert(_u9691), _u9693), _u9692)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9691), _u9693), c_Big__Operators_Olinorder__class_OMax(_u9691, _u9692))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_split__zmod ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_split__zmod-1, axiom, ( ~hBOOL(hAPP(_u9705, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9707, _u9709))) | ( _u9709 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(_u9705, _u9707)) )).
% 39.89/40.07 cnf(fact_split__zmod-2, axiom, ( ~hBOOL(hAPP(_u9705, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9707, _u9709))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9709)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9694)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9694), _u9709)) | ( _u9707 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9709), _u9695)), _u9694)) | hBOOL(hAPP(_u9705, _u9694)) )).
% 39.89/40.07 cnf(fact_split__zmod-3, axiom, ( ~hBOOL(hAPP(_u9705, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9707, _u9709))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9709), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9709), _u9696)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9696), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9707 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9709), _u9697)), _u9696)) | hBOOL(hAPP(_u9705, _u9696)) )).
% 39.89/40.07 cnf(fact_split__zmod-4, axiom, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9710), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9710 = 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)), _u9710)) )).
% 39.89/40.07 cnf(fact_split__zmod-5, axiom, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9710), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9710 = 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)), skolem182(_u9710, _u9708, _u9706))) )).
% 39.89/40.07 cnf(fact_split__zmod-6, axiom, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9710), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9710 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem182(_u9710, _u9708, _u9706)), _u9710)) )).
% 39.89/40.07 cnf(fact_split__zmod-7, axiom, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9710), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9710 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9708 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9710), skolem181(_u9710, _u9708, _u9706))), skolem182(_u9710, _u9708, _u9706))) )).
% 39.89/40.07 cnf(fact_split__zmod-8, axiom, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9710), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9710 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u9706, skolem182(_u9710, _u9708, _u9706))) )).
% 39.89/40.07 cnf(fact_split__zmod-9, axiom, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9710), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9706, _u9708)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9710)) )).
% 39.89/40.07 cnf(fact_split__zmod-10, axiom, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9710), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9706, _u9708)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem182(_u9710, _u9708, _u9706))) )).
% 39.89/40.07 cnf(fact_split__zmod-11, axiom, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9710), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9706, _u9708)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem182(_u9710, _u9708, _u9706)), _u9710)) )).
% 39.89/40.07 cnf(fact_split__zmod-12, axiom, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9710), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9706, _u9708)) | ( _u9708 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9710), skolem181(_u9710, _u9708, _u9706))), skolem182(_u9710, _u9708, _u9706))) )).
% 39.89/40.07 cnf(fact_split__zmod-13, axiom, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9710), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9706, _u9708)) | ~hBOOL(hAPP(_u9706, skolem182(_u9710, _u9708, _u9706))) )).
% 39.89/40.07 cnf(fact_split__zmod-14, axiom, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9710), skolem184(_u9710, _u9708, _u9706))) | ( _u9710 = 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)), _u9710)) )).
% 39.89/40.07 cnf(fact_split__zmod-15, axiom, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9710), skolem184(_u9710, _u9708, _u9706))) | ( _u9710 = 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)), skolem182(_u9710, _u9708, _u9706))) )).
% 39.89/40.07 cnf(fact_split__zmod-16, axiom, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9710), skolem184(_u9710, _u9708, _u9706))) | ( _u9710 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem182(_u9710, _u9708, _u9706)), _u9710)) )).
% 39.89/40.07 cnf(fact_split__zmod-17, axiom, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9710), skolem184(_u9710, _u9708, _u9706))) | ( _u9710 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9708 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9710), skolem181(_u9710, _u9708, _u9706))), skolem182(_u9710, _u9708, _u9706))) )).
% 39.89/40.07 cnf(fact_split__zmod-18, axiom, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9710), skolem184(_u9710, _u9708, _u9706))) | ( _u9710 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u9706, skolem182(_u9710, _u9708, _u9706))) )).
% 39.89/40.07 cnf(fact_split__zmod-19, axiom, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem184(_u9710, _u9708, _u9706)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9710 = 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)), _u9710)) )).
% 39.89/40.07 cnf(fact_split__zmod-20, axiom, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem184(_u9710, _u9708, _u9706)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9710 = 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)), skolem182(_u9710, _u9708, _u9706))) )).
% 39.89/40.07 cnf(fact_split__zmod-21, axiom, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem184(_u9710, _u9708, _u9706)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9710 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem182(_u9710, _u9708, _u9706)), _u9710)) )).
% 39.89/40.07 cnf(fact_split__zmod-22, axiom, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem184(_u9710, _u9708, _u9706)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9710 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9708 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9710), skolem181(_u9710, _u9708, _u9706))), skolem182(_u9710, _u9708, _u9706))) )).
% 39.89/40.07 cnf(fact_split__zmod-23, axiom, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem184(_u9710, _u9708, _u9706)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9710 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u9706, skolem182(_u9710, _u9708, _u9706))) )).
% 39.89/40.07 cnf(fact_split__zmod-24, axiom, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | ( _u9708 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9710), skolem183(_u9710, _u9708, _u9706))), skolem184(_u9710, _u9708, _u9706))) | ( _u9710 = 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)), _u9710)) )).
% 39.89/40.07 cnf(fact_split__zmod-25, axiom, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | ( _u9708 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9710), skolem183(_u9710, _u9708, _u9706))), skolem184(_u9710, _u9708, _u9706))) | ( _u9710 = 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)), skolem182(_u9710, _u9708, _u9706))) )).
% 39.89/40.07 cnf(fact_split__zmod-26, axiom, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | ( _u9708 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9710), skolem183(_u9710, _u9708, _u9706))), skolem184(_u9710, _u9708, _u9706))) | ( _u9710 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem182(_u9710, _u9708, _u9706)), _u9710)) )).
% 39.89/40.07 cnf(fact_split__zmod-27, axiom, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | ( _u9708 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9710), skolem183(_u9710, _u9708, _u9706))), skolem184(_u9710, _u9708, _u9706))) | ( _u9710 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9708 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9710), skolem181(_u9710, _u9708, _u9706))), skolem182(_u9710, _u9708, _u9706))) )).
% 39.89/40.07 cnf(fact_split__zmod-28, axiom, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | ( _u9708 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9710), skolem183(_u9710, _u9708, _u9706))), skolem184(_u9710, _u9708, _u9706))) | ( _u9710 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u9706, skolem182(_u9710, _u9708, _u9706))) )).
% 39.89/40.07 cnf(fact_split__zmod-29, axiom, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | ~hBOOL(hAPP(_u9706, skolem184(_u9710, _u9708, _u9706))) | ( _u9710 = 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)), _u9710)) )).
% 39.89/40.07 cnf(fact_split__zmod-30, axiom, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | ~hBOOL(hAPP(_u9706, skolem184(_u9710, _u9708, _u9706))) | ( _u9710 = 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)), skolem182(_u9710, _u9708, _u9706))) )).
% 39.89/40.07 cnf(fact_split__zmod-31, axiom, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | ~hBOOL(hAPP(_u9706, skolem184(_u9710, _u9708, _u9706))) | ( _u9710 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem182(_u9710, _u9708, _u9706)), _u9710)) )).
% 39.89/40.07 cnf(fact_split__zmod-32, axiom, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | ~hBOOL(hAPP(_u9706, skolem184(_u9710, _u9708, _u9706))) | ( _u9710 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9708 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9710), skolem181(_u9710, _u9708, _u9706))), skolem182(_u9710, _u9708, _u9706))) )).
% 39.89/40.07 cnf(fact_split__zmod-33, axiom, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | ~hBOOL(hAPP(_u9706, skolem184(_u9710, _u9708, _u9706))) | ( _u9710 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u9706, skolem182(_u9710, _u9708, _u9706))) )).
% 39.89/40.07 cnf(fact_split__zmod-34, axiom, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9710), skolem184(_u9710, _u9708, _u9706))) | ~hBOOL(hAPP(_u9706, _u9708)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9710)) )).
% 39.89/40.07 cnf(fact_split__zmod-35, axiom, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9710), skolem184(_u9710, _u9708, _u9706))) | ~hBOOL(hAPP(_u9706, _u9708)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem182(_u9710, _u9708, _u9706))) )).
% 39.89/40.07 cnf(fact_split__zmod-36, axiom, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9710), skolem184(_u9710, _u9708, _u9706))) | ~hBOOL(hAPP(_u9706, _u9708)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem182(_u9710, _u9708, _u9706)), _u9710)) )).
% 39.89/40.07 cnf(fact_split__zmod-37, axiom, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9710), skolem184(_u9710, _u9708, _u9706))) | ~hBOOL(hAPP(_u9706, _u9708)) | ( _u9708 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9710), skolem181(_u9710, _u9708, _u9706))), skolem182(_u9710, _u9708, _u9706))) )).
% 39.89/40.07 cnf(fact_split__zmod-38, axiom, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9710), skolem184(_u9710, _u9708, _u9706))) | ~hBOOL(hAPP(_u9706, _u9708)) | ~hBOOL(hAPP(_u9706, skolem182(_u9710, _u9708, _u9706))) )).
% 39.89/40.07 cnf(fact_split__zmod-39, axiom, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem184(_u9710, _u9708, _u9706)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9706, _u9708)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9710)) )).
% 39.89/40.07 cnf(fact_split__zmod-40, axiom, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem184(_u9710, _u9708, _u9706)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9706, _u9708)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem182(_u9710, _u9708, _u9706))) )).
% 39.89/40.07 cnf(fact_split__zmod-41, axiom, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem184(_u9710, _u9708, _u9706)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9706, _u9708)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem182(_u9710, _u9708, _u9706)), _u9710)) )).
% 39.89/40.07 cnf(fact_split__zmod-42, axiom, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem184(_u9710, _u9708, _u9706)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9706, _u9708)) | ( _u9708 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9710), skolem181(_u9710, _u9708, _u9706))), skolem182(_u9710, _u9708, _u9706))) )).
% 39.89/40.07 cnf(fact_split__zmod-43, axiom, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem184(_u9710, _u9708, _u9706)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9706, _u9708)) | ~hBOOL(hAPP(_u9706, skolem182(_u9710, _u9708, _u9706))) )).
% 39.89/40.07 cnf(fact_split__zmod-44, axiom, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | ( _u9708 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9710), skolem183(_u9710, _u9708, _u9706))), skolem184(_u9710, _u9708, _u9706))) | ~hBOOL(hAPP(_u9706, _u9708)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9710)) )).
% 39.89/40.07 cnf(fact_split__zmod-45, axiom, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | ( _u9708 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9710), skolem183(_u9710, _u9708, _u9706))), skolem184(_u9710, _u9708, _u9706))) | ~hBOOL(hAPP(_u9706, _u9708)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem182(_u9710, _u9708, _u9706))) )).
% 39.89/40.07 cnf(fact_split__zmod-46, axiom, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | ( _u9708 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9710), skolem183(_u9710, _u9708, _u9706))), skolem184(_u9710, _u9708, _u9706))) | ~hBOOL(hAPP(_u9706, _u9708)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem182(_u9710, _u9708, _u9706)), _u9710)) )).
% 39.89/40.07 cnf(fact_split__zmod-47, axiom, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | ( _u9708 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9710), skolem183(_u9710, _u9708, _u9706))), skolem184(_u9710, _u9708, _u9706))) | ~hBOOL(hAPP(_u9706, _u9708)) | ( _u9708 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9710), skolem181(_u9710, _u9708, _u9706))), skolem182(_u9710, _u9708, _u9706))) )).
% 39.89/40.07 cnf(fact_split__zmod-48, axiom, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | ( _u9708 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9710), skolem183(_u9710, _u9708, _u9706))), skolem184(_u9710, _u9708, _u9706))) | ~hBOOL(hAPP(_u9706, _u9708)) | ~hBOOL(hAPP(_u9706, skolem182(_u9710, _u9708, _u9706))) )).
% 39.89/40.07 cnf(fact_split__zmod-49, axiom, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | ~hBOOL(hAPP(_u9706, skolem184(_u9710, _u9708, _u9706))) | ~hBOOL(hAPP(_u9706, _u9708)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9710)) )).
% 39.89/40.07 cnf(fact_split__zmod-50, axiom, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | ~hBOOL(hAPP(_u9706, skolem184(_u9710, _u9708, _u9706))) | ~hBOOL(hAPP(_u9706, _u9708)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem182(_u9710, _u9708, _u9706))) )).
% 39.89/40.07 cnf(fact_split__zmod-51, axiom, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | ~hBOOL(hAPP(_u9706, skolem184(_u9710, _u9708, _u9706))) | ~hBOOL(hAPP(_u9706, _u9708)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem182(_u9710, _u9708, _u9706)), _u9710)) )).
% 39.89/40.07 cnf(fact_split__zmod-52, axiom, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | ~hBOOL(hAPP(_u9706, skolem184(_u9710, _u9708, _u9706))) | ~hBOOL(hAPP(_u9706, _u9708)) | ( _u9708 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9710), skolem181(_u9710, _u9708, _u9706))), skolem182(_u9710, _u9708, _u9706))) )).
% 39.89/40.07 cnf(fact_split__zmod-53, axiom, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | ~hBOOL(hAPP(_u9706, skolem184(_u9710, _u9708, _u9706))) | ~hBOOL(hAPP(_u9706, _u9708)) | ~hBOOL(hAPP(_u9706, skolem182(_u9710, _u9708, _u9706))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_zmult2__lemma__aux3 ( axiom ) converted to clauses:
% 39.89/40.07 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)), _u9711)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9712)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9712), _u9713)) | 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), _u9713), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9714, _u9711))), _u9712))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_zmult2__lemma__aux4 ( axiom ) converted to clauses:
% 39.89/40.07 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)), _u9715)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9716)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9716), _u9717)) | 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), _u9717), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9718, _u9715))), _u9716)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9717), _u9715))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_zmult2__lemma__aux1 ( axiom ) converted to clauses:
% 39.89/40.07 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)), _u9719)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9720), _u9721)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9721), 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), _u9720), _u9719)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9720), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9722, _u9719))), _u9721))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_zmult2__lemma__aux2 ( axiom ) converted to clauses:
% 39.89/40.07 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)), _u9723)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9724), _u9725)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9725), 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), _u9724), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9726, _u9723))), _u9725)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_divmod__int__rel__mod__eq ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_divmod__int__rel__mod__eq-1, axiom, ( ( _u9727 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9728), _u9729)), _u9730)) | ( _u9728 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9727, _u9728) = _u9730) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9728)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9728), _u9730)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9730), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.89/40.07 cnf(fact_divmod__int__rel__mod__eq-2, axiom, ( ( _u9727 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9728), _u9729)), _u9730)) | ( _u9728 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9727, _u9728) = _u9730) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9730)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9730), _u9728)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9728)) )).
% 39.89/40.07 cnf(fact_divmod__int__rel__mod__eq-3, axiom, ( ( _u9727 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9728), _u9729)), _u9730)) | ( _u9728 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9727, _u9728) = _u9730) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9730)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9730), _u9728)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9728), _u9730)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9730), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_Max_Oinsert__remove ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_Max_Oinsert__remove-1, axiom, ( ~class_Orderings_Olinorder(_u9731) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9731), _u9732)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9731, tc_HOL_Obool)), _u9732), hAPP(hAPP(c_Set_Oinsert(_u9731), _u9733), c_Orderings_Obot__class_Obot(tc_fun(_u9731, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u9731, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u9731, hAPP(hAPP(c_Set_Oinsert(_u9731), _u9733), _u9732)) = _u9733) )).
% 39.89/40.07 cnf(fact_Max_Oinsert__remove-2, axiom, ( ~class_Orderings_Olinorder(_u9731) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9731), _u9732)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9731, tc_HOL_Obool)), _u9732), hAPP(hAPP(c_Set_Oinsert(_u9731), _u9733), c_Orderings_Obot__class_Obot(tc_fun(_u9731, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u9731, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u9731, hAPP(hAPP(c_Set_Oinsert(_u9731), _u9733), _u9732)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9731), _u9733), c_Big__Operators_Olinorder__class_OMax(_u9731, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9731, tc_HOL_Obool)), _u9732), hAPP(hAPP(c_Set_Oinsert(_u9731), _u9733), c_Orderings_Obot__class_Obot(tc_fun(_u9731, tc_HOL_Obool))))))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_Max_Ounion__inter ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_Max_Ounion__inter-1, axiom, ( ~class_Orderings_Olinorder(_u9734) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9734), _u9735)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9734), _u9736)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9734, tc_HOL_Obool)), _u9735), _u9736) = c_Orderings_Obot__class_Obot(tc_fun(_u9734, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9734), c_Big__Operators_Olinorder__class_OMax(_u9734, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9734, tc_HOL_Obool)), _u9735), _u9736))), c_Big__Operators_Olinorder__class_OMax(_u9734, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9734, tc_HOL_Obool)), _u9735), _u9736))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9734), c_Big__Operators_Olinorder__class_OMax(_u9734, _u9735)), c_Big__Operators_Olinorder__class_OMax(_u9734, _u9736))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_Max_Ounion__disjoint ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_Max_Ounion__disjoint-1, axiom, ( ~class_Orderings_Olinorder(_u9737) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9737), _u9738)) | ( _u9738 = c_Orderings_Obot__class_Obot(tc_fun(_u9737, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9737), _u9739)) | ( _u9739 = c_Orderings_Obot__class_Obot(tc_fun(_u9737, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9737, tc_HOL_Obool)), _u9738), _u9739) != c_Orderings_Obot__class_Obot(tc_fun(_u9737, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u9737, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9737, tc_HOL_Obool)), _u9738), _u9739)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9737), c_Big__Operators_Olinorder__class_OMax(_u9737, _u9738)), c_Big__Operators_Olinorder__class_OMax(_u9737, _u9739))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_zmod__zmult2__eq ( axiom ) converted to clauses:
% 39.89/40.07 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)), _u9740)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9741, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9742), _u9740)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9742), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9741), _u9742), _u9740))), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9741, _u9742))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_zdiv__zminus1__eq__if ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_zdiv__zminus1__eq__if-1, axiom, ( ( _u9743 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9744, _u9743) != 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), _u9744)), _u9743) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9744), _u9743))) )).
% 39.89/40.07 cnf(fact_zdiv__zminus1__eq__if-2, axiom, ( ( _u9743 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9744, _u9743) = 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), _u9744)), _u9743) = 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), _u9744), _u9743))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_zdiv__zminus2__eq__if ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_zdiv__zminus2__eq__if-1, axiom, ( ( _u9745 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9746, _u9745) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9746), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9745)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9746), _u9745))) )).
% 39.89/40.07 cnf(fact_zdiv__zminus2__eq__if-2, axiom, ( ( _u9745 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9746, _u9745) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9746), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9745)) = 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), _u9746), _u9745))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_zadd1__lemma ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_zadd1__lemma-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u9747, _u9748), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u9749), _u9750))) | ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u9751, _u9748), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u9752), _u9753))) | ( _u9748 = 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), _u9747), _u9751), _u9748), 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), _u9749), _u9752)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9750), _u9753)), _u9748))), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9750), _u9753), _u9748)))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_Max_Oremove ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_Max_Oremove-1, axiom, ( ~class_Orderings_Olinorder(_u9754) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9754), _u9755)) | ~hBOOL(hAPP(hAPP(c_member(_u9754), _u9756), _u9755)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9754, tc_HOL_Obool)), _u9755), hAPP(hAPP(c_Set_Oinsert(_u9754), _u9756), c_Orderings_Obot__class_Obot(tc_fun(_u9754, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u9754, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u9754, _u9755) = _u9756) )).
% 39.89/40.07 cnf(fact_Max_Oremove-2, axiom, ( ~class_Orderings_Olinorder(_u9754) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9754), _u9755)) | ~hBOOL(hAPP(hAPP(c_member(_u9754), _u9756), _u9755)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9754, tc_HOL_Obool)), _u9755), hAPP(hAPP(c_Set_Oinsert(_u9754), _u9756), c_Orderings_Obot__class_Obot(tc_fun(_u9754, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u9754, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u9754, _u9755) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9754), _u9756), c_Big__Operators_Olinorder__class_OMax(_u9754, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9754, tc_HOL_Obool)), _u9755), hAPP(hAPP(c_Set_Oinsert(_u9754), _u9756), c_Orderings_Obot__class_Obot(tc_fun(_u9754, tc_HOL_Obool))))))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_split__pos__lemma ( axiom ) converted to clauses:
% 39.89/40.07 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)), _u9761)) | ~hBOOL(hAPP(hAPP(_u9762, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9763), _u9761)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9763, _u9761))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9757)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9757), _u9761)) | ( _u9763 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9761), _u9758)), _u9757)) | hBOOL(hAPP(hAPP(_u9762, _u9758), _u9757)) )).
% 39.89/40.07 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)), _u9761)) | hBOOL(hAPP(hAPP(_u9762, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9763), _u9761)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9763, _u9761))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem186(_u9763, _u9762, _u9761))) )).
% 39.89/40.07 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)), _u9761)) | hBOOL(hAPP(hAPP(_u9762, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9763), _u9761)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9763, _u9761))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem186(_u9763, _u9762, _u9761)), _u9761)) )).
% 39.89/40.07 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)), _u9761)) | hBOOL(hAPP(hAPP(_u9762, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9763), _u9761)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9763, _u9761))) | ( _u9763 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9761), skolem185(_u9763, _u9762, _u9761))), skolem186(_u9763, _u9762, _u9761))) )).
% 39.89/40.07 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)), _u9761)) | hBOOL(hAPP(hAPP(_u9762, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9763), _u9761)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9763, _u9761))) | ~hBOOL(hAPP(hAPP(_u9762, skolem185(_u9763, _u9762, _u9761)), skolem186(_u9763, _u9762, _u9761))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_split__neg__lemma ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_split__neg__lemma-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9768), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(_u9769, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9770), _u9768)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9770, _u9768))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9768), _u9764)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9764), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9770 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9768), _u9765)), _u9764)) | hBOOL(hAPP(hAPP(_u9769, _u9765), _u9764)) )).
% 39.89/40.07 cnf(fact_split__neg__lemma-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9768), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u9769, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9770), _u9768)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9770, _u9768))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9768), skolem188(_u9770, _u9769, _u9768))) )).
% 39.89/40.07 cnf(fact_split__neg__lemma-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9768), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u9769, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9770), _u9768)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9770, _u9768))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem188(_u9770, _u9769, _u9768)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.89/40.07 cnf(fact_split__neg__lemma-4, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9768), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u9769, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9770), _u9768)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9770, _u9768))) | ( _u9770 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9768), skolem187(_u9770, _u9769, _u9768))), skolem188(_u9770, _u9769, _u9768))) )).
% 39.89/40.07 cnf(fact_split__neg__lemma-5, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9768), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u9769, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9770), _u9768)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9770, _u9768))) | ~hBOOL(hAPP(hAPP(_u9769, skolem187(_u9770, _u9769, _u9768)), skolem188(_u9770, _u9769, _u9768))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_zmult1__lemma ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_zmult1__lemma-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u9771, _u9772), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u9773), _u9774))) | ( _u9772 = 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), _u9775), _u9771), _u9772), 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), _u9775), _u9773)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9775), _u9774)), _u9772))), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9775), _u9774), _u9772)))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_min__max_Osup__Inf2__distrib ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_min__max_Osup__Inf2__distrib-1, axiom, ( ~class_Orderings_Olinorder(_u9776) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9776), _u9777)) | ( _u9777 = c_Orderings_Obot__class_Obot(tc_fun(_u9776, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9776), _u9778)) | ( _u9778 = c_Orderings_Obot__class_Obot(tc_fun(_u9776, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9776), c_Big__Operators_Olattice_OInf__fin(_u9776, c_Orderings_Oord__class_Omin(_u9776), _u9777)), c_Big__Operators_Olattice_OInf__fin(_u9776, c_Orderings_Oord__class_Omin(_u9776), _u9778)) = c_Big__Operators_Olattice_OInf__fin(_u9776, c_Orderings_Oord__class_Omin(_u9776), hAPP(c_Set_OCollect(_u9776), hAPP(hAPP(c_COMBB(tc_fun(_u9776, tc_HOL_Obool), tc_HOL_Obool, _u9776), c_HOL_OEx(_u9776)), hAPP(hAPP(c_COMBB(tc_fun(_u9776, tc_fun(_u9776, tc_HOL_Obool)), tc_fun(_u9776, tc_HOL_Obool), _u9776), hAPP(c_COMBB(tc_fun(_u9776, tc_HOL_Obool), tc_HOL_Obool, _u9776), c_HOL_OEx(_u9776))), hAPP(hAPP(c_COMBC(_u9776, tc_fun(_u9776, tc_fun(_u9776, tc_HOL_Obool)), tc_fun(_u9776, tc_fun(_u9776, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u9776, tc_fun(tc_fun(_u9776, tc_HOL_Obool), tc_fun(_u9776, tc_HOL_Obool))), tc_fun(tc_fun(_u9776, tc_fun(_u9776, tc_HOL_Obool)), tc_fun(_u9776, tc_fun(_u9776, tc_HOL_Obool))), _u9776), c_COMBS(_u9776, tc_fun(_u9776, tc_HOL_Obool), tc_fun(_u9776, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u9776, tc_fun(_u9776, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u9776, tc_fun(tc_fun(_u9776, tc_HOL_Obool), tc_fun(_u9776, tc_HOL_Obool))), _u9776), hAPP(c_COMBB(tc_fun(_u9776, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u9776, tc_HOL_Obool), tc_fun(_u9776, tc_HOL_Obool)), _u9776), c_COMBS(_u9776, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u9776, tc_fun(_u9776, tc_HOL_Obool)), tc_fun(_u9776, tc_fun(_u9776, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u9776), hAPP(c_COMBB(tc_fun(_u9776, tc_HOL_Obool), tc_fun(_u9776, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u9776), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9776), c_fconj))), hAPP(hAPP(c_COMBC(_u9776, tc_fun(_u9776, tc_fun(_u9776, _u9776)), tc_fun(_u9776, tc_fun(_u9776, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u9776, _u9776), tc_fun(_u9776, tc_HOL_Obool)), tc_fun(tc_fun(_u9776, tc_fun(_u9776, _u9776)), tc_fun(_u9776, tc_fun(_u9776, tc_HOL_Obool))), _u9776), c_COMBB(tc_fun(_u9776, _u9776), tc_fun(_u9776, tc_HOL_Obool), _u9776)), hAPP(hAPP(c_COMBB(tc_fun(_u9776, tc_HOL_Obool), tc_fun(tc_fun(_u9776, _u9776), tc_fun(_u9776, tc_HOL_Obool)), _u9776), c_COMBB(_u9776, tc_HOL_Obool, _u9776)), c_fequal))), c_Orderings_Oord__class_Omax(_u9776)))))), hAPP(hAPP(c_COMBC(_u9776, tc_fun(_u9776, tc_HOL_Obool), tc_fun(_u9776, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u9776, tc_HOL_Obool), tc_fun(_u9776, tc_HOL_Obool)), _u9776), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u9776)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9776), c_fconj), hAPP(hAPP(c_COMBC(_u9776, tc_fun(_u9776, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9776)), _u9777)))), hAPP(hAPP(c_COMBC(_u9776, tc_fun(_u9776, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9776)), _u9778)))))))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_norm__frac_Opsimps ( axiom ) converted to clauses:
% 39.89/40.07 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), _u9779), _u9780))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9780), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u9779, _u9780) = c_Nitpick_Onorm__frac(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9779), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9780))) )).
% 39.89/40.07 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), _u9779), _u9780))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9780), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u9779, _u9780) = 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))) | ( _u9779 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 39.89/40.07 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), _u9779), _u9780))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9780), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u9779, _u9780) = 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))) | ( _u9780 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 39.89/40.07 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), _u9779), _u9780))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9780), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9779 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9780 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Nitpick_Onorm__frac(_u9779, _u9780) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), hAPP(hAPP(c_Nitpick_Oint__gcd, _u9779), _u9780)), 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), _u9779))), hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9780)))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_z3mod__def ( axiom ) converted to clauses:
% 39.89/40.07 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)), _u9783)) | ( c_SMT_Oz3mod(_u9785, _u9783) = c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9785, _u9783)) )).
% 39.89/40.07 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)), _u9784)) | ( c_SMT_Oz3mod(_u9786, _u9784) = c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9786, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9784))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_min__max_Oinf__Sup2__distrib ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_min__max_Oinf__Sup2__distrib-1, axiom, ( ~class_Orderings_Olinorder(_u9787) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9787), _u9788)) | ( _u9788 = c_Orderings_Obot__class_Obot(tc_fun(_u9787, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9787), _u9789)) | ( _u9789 = c_Orderings_Obot__class_Obot(tc_fun(_u9787, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9787), c_Big__Operators_Olattice_OSup__fin(_u9787, c_Orderings_Oord__class_Omax(_u9787), _u9788)), c_Big__Operators_Olattice_OSup__fin(_u9787, c_Orderings_Oord__class_Omax(_u9787), _u9789)) = c_Big__Operators_Olattice_OSup__fin(_u9787, c_Orderings_Oord__class_Omax(_u9787), hAPP(c_Set_OCollect(_u9787), hAPP(hAPP(c_COMBB(tc_fun(_u9787, tc_HOL_Obool), tc_HOL_Obool, _u9787), c_HOL_OEx(_u9787)), hAPP(hAPP(c_COMBB(tc_fun(_u9787, tc_fun(_u9787, tc_HOL_Obool)), tc_fun(_u9787, tc_HOL_Obool), _u9787), hAPP(c_COMBB(tc_fun(_u9787, tc_HOL_Obool), tc_HOL_Obool, _u9787), c_HOL_OEx(_u9787))), hAPP(hAPP(c_COMBC(_u9787, tc_fun(_u9787, tc_fun(_u9787, tc_HOL_Obool)), tc_fun(_u9787, tc_fun(_u9787, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u9787, tc_fun(tc_fun(_u9787, tc_HOL_Obool), tc_fun(_u9787, tc_HOL_Obool))), tc_fun(tc_fun(_u9787, tc_fun(_u9787, tc_HOL_Obool)), tc_fun(_u9787, tc_fun(_u9787, tc_HOL_Obool))), _u9787), c_COMBS(_u9787, tc_fun(_u9787, tc_HOL_Obool), tc_fun(_u9787, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u9787, tc_fun(_u9787, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u9787, tc_fun(tc_fun(_u9787, tc_HOL_Obool), tc_fun(_u9787, tc_HOL_Obool))), _u9787), hAPP(c_COMBB(tc_fun(_u9787, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u9787, tc_HOL_Obool), tc_fun(_u9787, tc_HOL_Obool)), _u9787), c_COMBS(_u9787, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u9787, tc_fun(_u9787, tc_HOL_Obool)), tc_fun(_u9787, tc_fun(_u9787, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u9787), hAPP(c_COMBB(tc_fun(_u9787, tc_HOL_Obool), tc_fun(_u9787, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u9787), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9787), c_fconj))), hAPP(hAPP(c_COMBC(_u9787, tc_fun(_u9787, tc_fun(_u9787, _u9787)), tc_fun(_u9787, tc_fun(_u9787, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u9787, _u9787), tc_fun(_u9787, tc_HOL_Obool)), tc_fun(tc_fun(_u9787, tc_fun(_u9787, _u9787)), tc_fun(_u9787, tc_fun(_u9787, tc_HOL_Obool))), _u9787), c_COMBB(tc_fun(_u9787, _u9787), tc_fun(_u9787, tc_HOL_Obool), _u9787)), hAPP(hAPP(c_COMBB(tc_fun(_u9787, tc_HOL_Obool), tc_fun(tc_fun(_u9787, _u9787), tc_fun(_u9787, tc_HOL_Obool)), _u9787), c_COMBB(_u9787, tc_HOL_Obool, _u9787)), c_fequal))), c_Orderings_Oord__class_Omin(_u9787)))))), hAPP(hAPP(c_COMBC(_u9787, tc_fun(_u9787, tc_HOL_Obool), tc_fun(_u9787, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u9787, tc_HOL_Obool), tc_fun(_u9787, tc_HOL_Obool)), _u9787), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u9787)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9787), c_fconj), hAPP(hAPP(c_COMBC(_u9787, tc_fun(_u9787, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9787)), _u9788)))), hAPP(hAPP(c_COMBC(_u9787, tc_fun(_u9787, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9787)), _u9789)))))))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_min__max_Oinf__Sup1__distrib ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_min__max_Oinf__Sup1__distrib-1, axiom, ( ~class_Orderings_Olinorder(_u9790) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9790), _u9791)) | ( _u9791 = c_Orderings_Obot__class_Obot(tc_fun(_u9790, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9790), _u9792), c_Big__Operators_Olattice_OSup__fin(_u9790, c_Orderings_Oord__class_Omax(_u9790), _u9791)) = c_Big__Operators_Olattice_OSup__fin(_u9790, c_Orderings_Oord__class_Omax(_u9790), hAPP(c_Set_OCollect(_u9790), hAPP(hAPP(c_COMBB(tc_fun(_u9790, tc_HOL_Obool), tc_HOL_Obool, _u9790), c_HOL_OEx(_u9790)), hAPP(hAPP(c_COMBC(_u9790, tc_fun(_u9790, tc_HOL_Obool), tc_fun(_u9790, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9790, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u9790, tc_HOL_Obool), tc_fun(_u9790, tc_HOL_Obool)), _u9790), c_COMBS(_u9790, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9790, tc_HOL_Obool), tc_fun(_u9790, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u9790), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9790), c_fconj)), hAPP(hAPP(c_COMBC(_u9790, tc_fun(_u9790, _u9790), tc_fun(_u9790, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9790, tc_HOL_Obool), tc_fun(tc_fun(_u9790, _u9790), tc_fun(_u9790, tc_HOL_Obool)), _u9790), c_COMBB(_u9790, tc_HOL_Obool, _u9790)), c_fequal)), hAPP(c_Orderings_Oord__class_Omin(_u9790), _u9792))))), hAPP(hAPP(c_COMBC(_u9790, tc_fun(_u9790, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9790)), _u9791)))))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_Max_Oclosed ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_Max_Oclosed-1, axiom, ( ~class_Orderings_Olinorder(_u9795) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9795), _u9796)) | ( _u9796 = c_Orderings_Obot__class_Obot(tc_fun(_u9795, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u9795), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9795), skolem189(_u9796, _u9795)), skolem190(_u9796, _u9795))), hAPP(hAPP(c_Set_Oinsert(_u9795), skolem189(_u9796, _u9795)), hAPP(hAPP(c_Set_Oinsert(_u9795), skolem190(_u9796, _u9795)), c_Orderings_Obot__class_Obot(tc_fun(_u9795, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u9795), c_Big__Operators_Olinorder__class_OMax(_u9795, _u9796)), _u9796)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_div__add1__eq ( axiom ) converted to clauses:
% 39.89/40.07 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), _u9797), _u9798)), _u9799) = 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), _u9797), _u9799)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9798), _u9799))), 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, _u9797, _u9799)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9798, _u9799))), _u9799))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_mod__mult__distrib ( axiom ) converted to clauses:
% 39.89/40.07 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, _u9800, _u9801)), _u9802) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9800), _u9802), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9801), _u9802))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_mod__mult__distrib2 ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_mod__mult__distrib2-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9803), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9804, _u9805)) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9803), _u9804), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9803), _u9805))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_mod__Suc__eq__Suc__mod ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_mod__Suc__eq__Suc__mod-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u9806), _u9807) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9806, _u9807)), _u9807)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_mod__less ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_mod__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9808), _u9809)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9808, _u9809) = _u9808) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_mod__less__eq__dividend ( axiom ) converted to clauses:
% 39.89/40.07 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, _u9810, _u9811)), _u9810)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_sup__nat__def ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_sup__nat__def-1, axiom, ( ( c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat) = c_Orderings_Oord__class_Omax(tc_Nat_Onat)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_mod__Suc ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_mod__Suc-1, axiom, ( ( hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9814, _u9816)) != _u9816) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u9814), _u9816) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.07 cnf(fact_mod__Suc-2, axiom, ( ( hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9815, _u9817)) = _u9817) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u9815), _u9817) = hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9815, _u9817))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_mod__1 ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_mod__1-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9818, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_mod__less__divisor ( axiom ) converted to clauses:
% 39.89/40.07 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)), _u9819)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9820, _u9819)), _u9819)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_mod__eq__0__iff ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_mod__eq__0__iff-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9825, _u9827) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u9825 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9827), skolem191(_u9827, _u9825))) )).
% 39.89/40.07 cnf(fact_mod__eq__0__iff-2, axiom, ( ( _u9826 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9828), _u9822)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9826, _u9828) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_mod__if ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_mod__if-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9831), _u9833)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9831, _u9833) = _u9831) )).
% 39.89/40.07 cnf(fact_mod__if-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9832), _u9834)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9832, _u9834) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u9832), _u9834), _u9834)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_mod__geq ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_mod__geq-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9835), _u9836)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9835, _u9836) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u9835), _u9836), _u9836)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_mod__mult__self3 ( axiom ) converted to clauses:
% 39.89/40.07 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), _u9837), _u9838)), _u9839), _u9838) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9839, _u9838)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_div__mult1__eq ( axiom ) converted to clauses:
% 39.89/40.07 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), _u9840), _u9841)), _u9842) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9840), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9841), _u9842))), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9840), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9841, _u9842))), _u9842))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_mod__mult2__eq ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_mod__mult2__eq-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9843, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9844), _u9845)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9844), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9843), _u9844), _u9845))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9843, _u9844))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_le__mod__geq ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_le__mod__geq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9846), _u9847)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9847, _u9846) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u9847), _u9846), _u9846)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_div__mod__equality_H ( axiom ) converted to clauses:
% 39.89/40.07 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), _u9848), _u9849)), _u9849) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u9848), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9848, _u9849))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_mult__div__cancel ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_mult__div__cancel-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9850), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9851), _u9850)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u9851), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9851, _u9850))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_Divides_Omod__div__equality_H ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_Divides_Omod__div__equality_H-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9852, _u9853) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u9852), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9852), _u9853)), _u9853))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_Divides_Otransfer__int__nat__functions_I2_J ( axiom ) converted to clauses:
% 39.89/40.07 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), _u9854), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9855)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9854, _u9855))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_zmod__int ( axiom ) converted to clauses:
% 39.89/40.07 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, _u9856, _u9857)) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9856), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9857))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_mod__le__divisor ( axiom ) converted to clauses:
% 39.89/40.07 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)), _u9858)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9859, _u9858)), _u9858)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_mod__mult__self4 ( axiom ) converted to clauses:
% 39.89/40.07 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), _u9860), _u9861)), _u9862)), _u9861) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u9862), _u9861)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_min__max_OSup__fin_Oin__idem ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_min__max_OSup__fin_Oin__idem-1, axiom, ( ~class_Orderings_Olinorder(_u9863) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9863), _u9864)) | ~hBOOL(hAPP(hAPP(c_member(_u9863), _u9865), _u9864)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9863), _u9865), c_Big__Operators_Olattice_OSup__fin(_u9863, c_Orderings_Oord__class_Omax(_u9863), _u9864)) = c_Big__Operators_Olattice_OSup__fin(_u9863, c_Orderings_Oord__class_Omax(_u9863), _u9864)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_min__max_OSup__fin_Osingleton ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_min__max_OSup__fin_Osingleton-1, axiom, ( ~class_Orderings_Olinorder(_u9866) | ( c_Big__Operators_Olattice_OSup__fin(_u9866, c_Orderings_Oord__class_Omax(_u9866), hAPP(hAPP(c_Set_Oinsert(_u9866), _u9867), c_Orderings_Obot__class_Obot(tc_fun(_u9866, tc_HOL_Obool)))) = _u9867) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_split__mod ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_split__mod-1, axiom, ( ~hBOOL(hAPP(_u9875, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9877, _u9879))) | ( _u9879 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u9875, _u9877)) )).
% 39.89/40.07 cnf(fact_split__mod-2, axiom, ( ~hBOOL(hAPP(_u9875, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9877, _u9879))) | ( _u9879 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9868), _u9879)) | ( _u9877 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9879), _u9869)), _u9868)) | hBOOL(hAPP(_u9875, _u9868)) )).
% 39.89/40.07 cnf(fact_split__mod-3, axiom, ( hBOOL(hAPP(_u9876, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9878, _u9880))) | ( _u9880 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem193(_u9880, _u9878, _u9876)), _u9880)) )).
% 39.89/40.07 cnf(fact_split__mod-4, axiom, ( hBOOL(hAPP(_u9876, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9878, _u9880))) | ( _u9880 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u9878 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9880), skolem192(_u9880, _u9878, _u9876))), skolem193(_u9880, _u9878, _u9876))) )).
% 39.89/40.07 cnf(fact_split__mod-5, axiom, ( hBOOL(hAPP(_u9876, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9878, _u9880))) | ( _u9880 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u9876, skolem193(_u9880, _u9878, _u9876))) )).
% 39.89/40.07 cnf(fact_split__mod-6, axiom, ( hBOOL(hAPP(_u9876, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9878, _u9880))) | ~hBOOL(hAPP(_u9876, _u9878)) | ( _u9880 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.07 cnf(fact_split__mod-7, axiom, ( hBOOL(hAPP(_u9876, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9878, _u9880))) | ~hBOOL(hAPP(_u9876, _u9878)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem193(_u9880, _u9878, _u9876)), _u9880)) )).
% 39.89/40.07 cnf(fact_split__mod-8, axiom, ( hBOOL(hAPP(_u9876, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9878, _u9880))) | ~hBOOL(hAPP(_u9876, _u9878)) | ( _u9878 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9880), skolem192(_u9880, _u9878, _u9876))), skolem193(_u9880, _u9878, _u9876))) )).
% 39.89/40.07 cnf(fact_split__mod-9, axiom, ( hBOOL(hAPP(_u9876, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9878, _u9880))) | ~hBOOL(hAPP(_u9876, _u9878)) | ~hBOOL(hAPP(_u9876, skolem193(_u9880, _u9878, _u9876))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_mod__lemma ( axiom ) converted to clauses:
% 39.89/40.07 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)), _u9881)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9882), _u9883)) | 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), _u9883), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9884, _u9881))), _u9882)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9883), _u9881))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_Suc__times__mod__eq ( axiom ) converted to clauses:
% 39.89/40.07 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)), _u9885)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9885), _u9886)), _u9885) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_min__max_OSup__fin_Oinsert__idem ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_min__max_OSup__fin_Oinsert__idem-1, axiom, ( ~class_Orderings_Olinorder(_u9887) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9887), _u9888)) | ( _u9888 = c_Orderings_Obot__class_Obot(tc_fun(_u9887, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u9887, c_Orderings_Oord__class_Omax(_u9887), hAPP(hAPP(c_Set_Oinsert(_u9887), _u9889), _u9888)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9887), _u9889), c_Big__Operators_Olattice_OSup__fin(_u9887, c_Orderings_Oord__class_Omax(_u9887), _u9888))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_min__max_OSup__fin_Osubset__idem ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_min__max_OSup__fin_Osubset__idem-1, axiom, ( ~class_Orderings_Olinorder(_u9890) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9890), _u9891)) | ( _u9892 = c_Orderings_Obot__class_Obot(tc_fun(_u9890, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9890, tc_HOL_Obool)), _u9892), _u9891)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9890), c_Big__Operators_Olattice_OSup__fin(_u9890, c_Orderings_Oord__class_Omax(_u9890), _u9892)), c_Big__Operators_Olattice_OSup__fin(_u9890, c_Orderings_Oord__class_Omax(_u9890), _u9891)) = c_Big__Operators_Olattice_OSup__fin(_u9890, c_Orderings_Oord__class_Omax(_u9890), _u9891)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_min__max_Oinf__Sup__absorb ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_min__max_Oinf__Sup__absorb-1, axiom, ( ~class_Orderings_Olinorder(_u9893) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9893), _u9894)) | ~hBOOL(hAPP(hAPP(c_member(_u9893), _u9895), _u9894)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9893), _u9895), c_Big__Operators_Olattice_OSup__fin(_u9893, c_Orderings_Oord__class_Omax(_u9893), _u9894)) = _u9895) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_min__max_OSup__fin_Ounion__idem ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_min__max_OSup__fin_Ounion__idem-1, axiom, ( ~class_Orderings_Olinorder(_u9896) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9896), _u9897)) | ( _u9897 = c_Orderings_Obot__class_Obot(tc_fun(_u9896, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9896), _u9898)) | ( _u9898 = c_Orderings_Obot__class_Obot(tc_fun(_u9896, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u9896, c_Orderings_Oord__class_Omax(_u9896), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9896, tc_HOL_Obool)), _u9897), _u9898)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9896), c_Big__Operators_Olattice_OSup__fin(_u9896, c_Orderings_Oord__class_Omax(_u9896), _u9897)), c_Big__Operators_Olattice_OSup__fin(_u9896, c_Orderings_Oord__class_Omax(_u9896), _u9898))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_min__max_OSup__fin_Oinsert ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_min__max_OSup__fin_Oinsert-1, axiom, ( ~class_Orderings_Olinorder(_u9899) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9899), _u9900)) | hBOOL(hAPP(hAPP(c_member(_u9899), _u9901), _u9900)) | ( _u9900 = c_Orderings_Obot__class_Obot(tc_fun(_u9899, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u9899, c_Orderings_Oord__class_Omax(_u9899), hAPP(hAPP(c_Set_Oinsert(_u9899), _u9901), _u9900)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9899), _u9901), c_Big__Operators_Olattice_OSup__fin(_u9899, c_Orderings_Oord__class_Omax(_u9899), _u9900))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_min__max_OSup__fin_Oinsert__remove ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_min__max_OSup__fin_Oinsert__remove-1, axiom, ( ~class_Orderings_Olinorder(_u9902) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9902), _u9903)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9902, tc_HOL_Obool)), _u9903), hAPP(hAPP(c_Set_Oinsert(_u9902), _u9904), c_Orderings_Obot__class_Obot(tc_fun(_u9902, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u9902, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u9902, c_Orderings_Oord__class_Omax(_u9902), hAPP(hAPP(c_Set_Oinsert(_u9902), _u9904), _u9903)) = _u9904) )).
% 39.89/40.07 cnf(fact_min__max_OSup__fin_Oinsert__remove-2, axiom, ( ~class_Orderings_Olinorder(_u9902) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9902), _u9903)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9902, tc_HOL_Obool)), _u9903), hAPP(hAPP(c_Set_Oinsert(_u9902), _u9904), c_Orderings_Obot__class_Obot(tc_fun(_u9902, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u9902, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u9902, c_Orderings_Oord__class_Omax(_u9902), hAPP(hAPP(c_Set_Oinsert(_u9902), _u9904), _u9903)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9902), _u9904), c_Big__Operators_Olattice_OSup__fin(_u9902, c_Orderings_Oord__class_Omax(_u9902), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9902, tc_HOL_Obool)), _u9903), hAPP(hAPP(c_Set_Oinsert(_u9902), _u9904), c_Orderings_Obot__class_Obot(tc_fun(_u9902, tc_HOL_Obool))))))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_min__max_OSup__fin_Ounion__disjoint ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_min__max_OSup__fin_Ounion__disjoint-1, axiom, ( ~class_Orderings_Olinorder(_u9905) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9905), _u9906)) | ( _u9906 = c_Orderings_Obot__class_Obot(tc_fun(_u9905, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9905), _u9907)) | ( _u9907 = c_Orderings_Obot__class_Obot(tc_fun(_u9905, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9905, tc_HOL_Obool)), _u9906), _u9907) != c_Orderings_Obot__class_Obot(tc_fun(_u9905, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u9905, c_Orderings_Oord__class_Omax(_u9905), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9905, tc_HOL_Obool)), _u9906), _u9907)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9905), c_Big__Operators_Olattice_OSup__fin(_u9905, c_Orderings_Oord__class_Omax(_u9905), _u9906)), c_Big__Operators_Olattice_OSup__fin(_u9905, c_Orderings_Oord__class_Omax(_u9905), _u9907))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_min__max_OSup__fin_Ounion__inter ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_min__max_OSup__fin_Ounion__inter-1, axiom, ( ~class_Orderings_Olinorder(_u9908) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9908), _u9909)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9908), _u9910)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9908, tc_HOL_Obool)), _u9909), _u9910) = c_Orderings_Obot__class_Obot(tc_fun(_u9908, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9908), c_Big__Operators_Olattice_OSup__fin(_u9908, c_Orderings_Oord__class_Omax(_u9908), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9908, tc_HOL_Obool)), _u9909), _u9910))), c_Big__Operators_Olattice_OSup__fin(_u9908, c_Orderings_Oord__class_Omax(_u9908), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9908, tc_HOL_Obool)), _u9909), _u9910))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9908), c_Big__Operators_Olattice_OSup__fin(_u9908, c_Orderings_Oord__class_Omax(_u9908), _u9909)), c_Big__Operators_Olattice_OSup__fin(_u9908, c_Orderings_Oord__class_Omax(_u9908), _u9910))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_min__max_OSup__fin_Oremove ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_min__max_OSup__fin_Oremove-1, axiom, ( ~class_Orderings_Olinorder(_u9911) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9911), _u9912)) | ~hBOOL(hAPP(hAPP(c_member(_u9911), _u9913), _u9912)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9911, tc_HOL_Obool)), _u9912), hAPP(hAPP(c_Set_Oinsert(_u9911), _u9913), c_Orderings_Obot__class_Obot(tc_fun(_u9911, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u9911, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u9911, c_Orderings_Oord__class_Omax(_u9911), _u9912) = _u9913) )).
% 39.89/40.07 cnf(fact_min__max_OSup__fin_Oremove-2, axiom, ( ~class_Orderings_Olinorder(_u9911) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9911), _u9912)) | ~hBOOL(hAPP(hAPP(c_member(_u9911), _u9913), _u9912)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9911, tc_HOL_Obool)), _u9912), hAPP(hAPP(c_Set_Oinsert(_u9911), _u9913), c_Orderings_Obot__class_Obot(tc_fun(_u9911, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u9911, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u9911, c_Orderings_Oord__class_Omax(_u9911), _u9912) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9911), _u9913), c_Big__Operators_Olattice_OSup__fin(_u9911, c_Orderings_Oord__class_Omax(_u9911), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9911, tc_HOL_Obool)), _u9912), hAPP(hAPP(c_Set_Oinsert(_u9911), _u9913), c_Orderings_Obot__class_Obot(tc_fun(_u9911, tc_HOL_Obool))))))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_min__max_OInf__le__Sup ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_min__max_OInf__le__Sup-1, axiom, ( ~class_Orderings_Olinorder(_u9914) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9914), _u9915)) | ( _u9915 = c_Orderings_Obot__class_Obot(tc_fun(_u9914, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9914), c_Big__Operators_Olattice_OInf__fin(_u9914, c_Orderings_Oord__class_Omin(_u9914), _u9915)), c_Big__Operators_Olattice_OSup__fin(_u9914, c_Orderings_Oord__class_Omax(_u9914), _u9915))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_divmod__nat__step ( axiom ) converted to clauses:
% 39.89/40.07 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)), _u9916)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9916), _u9917)) | ( c_Divides_Odivmod__nat(_u9917, _u9916) = 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), _u9917), _u9916)), _u9916))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u9917), _u9916), _u9916))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_norm__frac_Opinduct ( axiom ) converted to clauses:
% 39.89/40.07 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), _u9920), _u9921))) | hBOOL(hAPP(hAPP(_u9922, _u9920), _u9921)) | 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), skolem194(_u9922, _u9921, _u9920)), skolem195(_u9922, _u9921, _u9920)))) )).
% 39.89/40.07 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), _u9920), _u9921))) | hBOOL(hAPP(hAPP(_u9922, _u9920), _u9921)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem195(_u9922, _u9921, _u9920)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u9922, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), skolem194(_u9922, _u9921, _u9920))), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), skolem195(_u9922, _u9921, _u9920)))) )).
% 39.89/40.07 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), _u9920), _u9921))) | hBOOL(hAPP(hAPP(_u9922, _u9920), _u9921)) | ~hBOOL(hAPP(hAPP(_u9922, skolem194(_u9922, _u9921, _u9920)), skolem195(_u9922, _u9921, _u9920))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_divmod__nat__rel__mult2__eq ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_divmod__nat__rel__mult2__eq-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u9923, _u9924), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u9925), _u9926))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9924)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9927)) | hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u9923, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9924), _u9927)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9925), _u9927)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9924), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9925, _u9927))), _u9926)))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_divmod__nat__rel__mult1__eq ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_divmod__nat__rel__mult1__eq-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u9928, _u9929), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u9930), _u9931))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9929)) | hBOOL(hAPP(c_Divides_Odivmod__nat__rel(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9932), _u9928), _u9929), 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), _u9932), _u9930)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9932), _u9931)), _u9929))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9932), _u9931), _u9929)))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_mod__eq ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_mod__eq-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u9933, _u9934), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u9935), _u9936))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9933, _u9934) = _u9936) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_divmod__nat__def ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_divmod__nat__def-1, axiom, ( ( c_Divides_Odivmod__nat(_u9937, _u9938) = c_HOL_OThe(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Divides_Odivmod__nat__rel(_u9937, _u9938))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_divmod__nat__rel__divmod__nat ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_divmod__nat__rel__divmod__nat-1, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u9939, _u9940), c_Divides_Odivmod__nat(_u9939, _u9940))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_divmod__nat__eq ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_divmod__nat__eq-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u9941, _u9942), _u9943)) | ( c_Divides_Odivmod__nat(_u9941, _u9942) = _u9943) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_divmod__nat__rel__unique ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_divmod__nat__rel__unique-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u9944, _u9945), _u9946)) | ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u9944, _u9945), _u9947)) | ( _u9946 = _u9947) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_divmod__nat__rel ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_divmod__nat__rel-1, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u9948, _u9949), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9948), _u9949)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9948, _u9949)))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_div__eq ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_div__eq-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u9950, _u9951), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u9952), _u9953))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9950), _u9951) = _u9952) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_divmod__nat__zero ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_divmod__nat__zero-1, axiom, ( ( c_Divides_Odivmod__nat(_u9954, 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)), _u9954)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_divmod__nat__div__mod ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_divmod__nat__div__mod-1, axiom, ( ( c_Divides_Odivmod__nat(_u9955, _u9956) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9955), _u9956)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9955, _u9956))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_divmod__nat__base ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_divmod__nat__base-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9957), _u9958)) | ( c_Divides_Odivmod__nat(_u9957, _u9958) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9957)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_divmod__nat__rel__add1__eq ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_divmod__nat__rel__add1__eq-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u9959, _u9960), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u9961), _u9962))) | ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u9963, _u9960), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u9964), _u9965))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9960)) | hBOOL(hAPP(c_Divides_Odivmod__nat__rel(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u9959), _u9963), _u9960), 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), _u9961), _u9964)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u9962), _u9965)), _u9960))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u9962), _u9965), _u9960)))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_min__max_OSup__fin_Oclosed ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_min__max_OSup__fin_Oclosed-1, axiom, ( ~class_Orderings_Olinorder(_u9968) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9968), _u9969)) | ( _u9969 = c_Orderings_Obot__class_Obot(tc_fun(_u9968, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u9968), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9968), skolem196(_u9969, _u9968)), skolem197(_u9969, _u9968))), hAPP(hAPP(c_Set_Oinsert(_u9968), skolem196(_u9969, _u9968)), hAPP(hAPP(c_Set_Oinsert(_u9968), skolem197(_u9969, _u9968)), c_Orderings_Obot__class_Obot(tc_fun(_u9968, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u9968), c_Big__Operators_Olattice_OSup__fin(_u9968, c_Orderings_Oord__class_Omax(_u9968), _u9969)), _u9969)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_negDivAlg__div__mod ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_negDivAlg__div__mod-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9970), 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)), _u9971)) | ( c_Divides_OnegDivAlg(_u9970, _u9971) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9970), _u9971)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9970, _u9971))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_divmod__nat__if ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_divmod__nat__if-1, axiom, ( ( c_Divides_Odivmod__nat(_u9976, _u9974) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9976)) | ( _u9974 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.07 cnf(fact_divmod__nat__if-2, axiom, ( ( c_Divides_Odivmod__nat(_u9976, _u9974) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9976)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9976), _u9974)) )).
% 39.89/40.07 cnf(fact_divmod__nat__if-3, axiom, ( ( _u9975 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9977), _u9975)) | ( c_Divides_Odivmod__nat(_u9977, _u9975) = 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), _u9977), _u9975), _u9975))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_posDivAlg__div__mod ( axiom ) converted to clauses:
% 39.89/40.07 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)), _u9978)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9979)) | ( c_Divides_OposDivAlg(_u9978, _u9979) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9978), _u9979)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9978, _u9979))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_posDivAlg__0 ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_posDivAlg__0-1, axiom, ( ( c_Divides_OposDivAlg(c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u9980) = 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))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_negDivAlg__correct ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_negDivAlg__correct-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9981), 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)), _u9982)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u9981, _u9982), c_Divides_OnegDivAlg(_u9981, _u9982))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_posDivAlg__correct ( axiom ) converted to clauses:
% 39.89/40.07 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)), _u9983)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9984)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u9983, _u9984), c_Divides_OposDivAlg(_u9983, _u9984))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_pair__imageI ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_pair__imageI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u9985, _u9986)), hAPP(hAPP(c_Product__Type_OPair(_u9985, _u9986), _u9987), _u9988)), _u9989)) | hBOOL(hAPP(hAPP(c_member(_u9990), hAPP(hAPP(_u9991, _u9987), _u9988)), hAPP(c_Set_Oimage(tc_prod(_u9985, _u9986), _u9990, hAPP(c_Product__Type_Oprod_Oprod__case(_u9985, _u9986, _u9990), _u9991)), _u9989))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_split__twice ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_split__twice-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u9992, _u9993, _u9994), _u9995), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u9996, _u9997, tc_prod(_u9992, _u9993)), _u9998), _u9999)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u9996, _u9997, _u9994), hAPP(hAPP(c_COMBB(tc_fun(_u9997, tc_prod(_u9992, _u9993)), tc_fun(_u9997, _u9994), _u9996), hAPP(c_COMBB(tc_prod(_u9992, _u9993), _u9994, _u9997), hAPP(c_Product__Type_Oprod_Oprod__case(_u9992, _u9993, _u9994), _u9995))), _u9998)), _u9999)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_swap__inj__on ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_swap__inj__on-1, axiom, ( c_Fun_Oinj__on(tc_prod(_u10000, _u10001), tc_prod(_u10001, _u10000), hAPP(c_Product__Type_Oprod_Oprod__case(_u10000, _u10001, tc_prod(_u10001, _u10000)), hAPP(c_COMBC(_u10001, _u10000, tc_prod(_u10001, _u10000)), c_Product__Type_OPair(_u10001, _u10000))), _u10002) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_split__eta ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_split__eta-1, axiom, ( ( hAPP(c_Product__Type_Oprod_Oprod__case(_u10003, _u10004, _u10005), hAPP(hAPP(c_COMBB(tc_fun(_u10004, tc_prod(_u10003, _u10004)), tc_fun(_u10004, _u10005), _u10003), hAPP(c_COMBB(tc_prod(_u10003, _u10004), _u10005, _u10004), _u10006)), c_Product__Type_OPair(_u10003, _u10004))) = _u10006) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_splitI ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_splitI-1, axiom, ( ~hBOOL(hAPP(hAPP(_u10007, _u10008), _u10009)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u10010, _u10011, tc_HOL_Obool), _u10007), hAPP(hAPP(c_Product__Type_OPair(_u10010, _u10011), _u10008), _u10009))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_prod__caseI ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_prod__caseI-1, axiom, ( ~hBOOL(hAPP(hAPP(_u10012, _u10013), _u10014)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u10015, _u10016, tc_HOL_Obool), _u10012), hAPP(hAPP(c_Product__Type_OPair(_u10015, _u10016), _u10013), _u10014))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_mem__splitI ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_mem__splitI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u10017), _u10018), hAPP(hAPP(_u10019, _u10020), _u10021))) | hBOOL(hAPP(hAPP(c_member(_u10017), _u10018), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u10022, _u10023, tc_fun(_u10017, tc_HOL_Obool)), _u10019), hAPP(hAPP(c_Product__Type_OPair(_u10022, _u10023), _u10020), _u10021)))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_splitD ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_splitD-1, axiom, ( hBOOL(hAPP(hAPP(_u10026, _u10027), _u10028)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u10024, _u10025, tc_HOL_Obool), _u10026), hAPP(hAPP(c_Product__Type_OPair(_u10024, _u10025), _u10027), _u10028))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_splitD_H ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_splitD_H-1, axiom, ( hBOOL(hAPP(hAPP(hAPP(_u10032, _u10033), _u10034), _u10035)) | ~hBOOL(hAPP(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u10029, _u10030, tc_fun(_u10031, tc_HOL_Obool)), _u10032), hAPP(hAPP(c_Product__Type_OPair(_u10029, _u10030), _u10033), _u10034)), _u10035)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_Id__on__def_H ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_Id__on__def_H-1, axiom, ( ( c_Relation_OId__on(_u10036, _u10037) = hAPP(c_Product__Type_Oprod_Oprod__case(_u10036, _u10036, tc_HOL_Obool), hAPP(hAPP(c_COMBS(_u10036, tc_HOL_Obool, tc_fun(_u10036, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10036, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_HOL_Obool, tc_fun(_u10036, tc_HOL_Obool)), _u10036), c_COMBC(_u10036, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10036, tc_HOL_Obool), tc_fun(_u10036, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u10036), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u10036), c_fconj)), c_fequal))), _u10037))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_split__paired__The ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_split__paired__The-1, axiom, ( ( c_HOL_OThe(tc_prod(_u10038, _u10039), _u10040) = c_HOL_OThe(tc_prod(_u10038, _u10039), hAPP(c_Product__Type_Oprod_Oprod__case(_u10038, _u10039, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u10039, tc_prod(_u10038, _u10039)), tc_fun(_u10039, tc_HOL_Obool), _u10038), hAPP(c_COMBB(tc_prod(_u10038, _u10039), tc_HOL_Obool, _u10039), _u10040)), c_Product__Type_OPair(_u10038, _u10039))))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_The__split__eq ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_The__split__eq-1, axiom, ( ( c_HOL_OThe(tc_prod(_u10041, _u10042), hAPP(c_Product__Type_Oprod_Oprod__case(_u10041, _u10042, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u10041, tc_fun(_u10042, tc_HOL_Obool), tc_fun(_u10042, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u10042, tc_HOL_Obool), tc_fun(_u10042, tc_HOL_Obool)), _u10041), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u10042)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u10041), c_fconj), hAPP(c_fequal, _u10043)))), hAPP(c_fequal, _u10044)))) = hAPP(hAPP(c_Product__Type_OPair(_u10041, _u10042), _u10043), _u10044)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_inj__graph ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_inj__graph-1, axiom, ( c_Fun_Oinj__on(tc_fun(_u10045, _u10046), tc_fun(tc_prod(_u10045, _u10046), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u10045, _u10046), tc_HOL_Obool), tc_fun(tc_prod(_u10045, _u10046), tc_HOL_Obool), tc_fun(_u10045, _u10046)), c_Set_OCollect(tc_prod(_u10045, _u10046))), hAPP(hAPP(c_COMBB(tc_fun(_u10045, tc_fun(_u10046, tc_HOL_Obool)), tc_fun(tc_prod(_u10045, _u10046), tc_HOL_Obool), tc_fun(_u10045, _u10046)), c_Product__Type_Oprod_Oprod__case(_u10045, _u10046, tc_HOL_Obool)), hAPP(c_COMBB(_u10046, tc_fun(_u10046, tc_HOL_Obool), _u10045), hAPP(c_COMBC(_u10046, _u10046, tc_HOL_Obool), c_fequal)))), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u10045, _u10046), tc_HOL_Obool))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_Pair__inject ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_Pair__inject-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OPair(_u10047, _u10048), _u10049), _u10050) != hAPP(hAPP(c_Product__Type_OPair(_u10047, _u10048), _u10051), _u10052)) | ( _u10049 = _u10051) )).
% 39.89/40.07 cnf(fact_Pair__inject-2, axiom, ( ( hAPP(hAPP(c_Product__Type_OPair(_u10047, _u10048), _u10049), _u10050) != hAPP(hAPP(c_Product__Type_OPair(_u10047, _u10048), _u10051), _u10052)) | ( _u10050 = _u10052) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_Pair__eq ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_Pair__eq-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OPair(_u10059, _u10061), _u10063), _u10065) != hAPP(hAPP(c_Product__Type_OPair(_u10059, _u10061), _u10067), _u10069)) | ( _u10063 = _u10067) )).
% 39.89/40.07 cnf(fact_Pair__eq-2, axiom, ( ( hAPP(hAPP(c_Product__Type_OPair(_u10059, _u10061), _u10063), _u10065) != hAPP(hAPP(c_Product__Type_OPair(_u10059, _u10061), _u10067), _u10069)) | ( _u10065 = _u10069) )).
% 39.89/40.07 cnf(fact_Pair__eq-3, axiom, ( ( _u10064 != _u10068) | ( _u10066 != _u10070) | ( hAPP(hAPP(c_Product__Type_OPair(_u10060, _u10062), _u10064), _u10066) = hAPP(hAPP(c_Product__Type_OPair(_u10060, _u10062), _u10068), _u10070)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_split__paired__All ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_split__paired__All-1, axiom, ( ~hBOOL(hAPP(_u10080, skolem198(_u10084, _u10082, _u10080))) | hBOOL(hAPP(_u10080, hAPP(hAPP(c_Product__Type_OPair(_u10082, _u10084), _u10073), _u10072))) )).
% 39.89/40.07 cnf(fact_split__paired__All-2, axiom, ( ~hBOOL(hAPP(_u10081, hAPP(hAPP(c_Product__Type_OPair(_u10083, _u10085), skolem199(_u10085, _u10083, _u10081)), skolem200(_u10085, _u10083, _u10081)))) | hBOOL(hAPP(_u10081, _u10076)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_split__weak__cong ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_split__weak__cong-1, axiom, ( ( _u10086 != _u10087) | ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u10088, _u10089, _u10090), _u10091), _u10086) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u10088, _u10089, _u10090), _u10091), _u10087)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_finite__psubset__def ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_finite__psubset__def-1, axiom, ( ( c_Wellfounded_Ofinite__psubset(_u10092) = hAPP(c_Set_OCollect(tc_prod(tc_fun(_u10092, tc_HOL_Obool), tc_fun(_u10092, tc_HOL_Obool))), hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(_u10092, tc_HOL_Obool), tc_fun(_u10092, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_fun(_u10092, tc_HOL_Obool), tc_fun(tc_fun(_u10092, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u10092, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u10092, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_fun(_u10092, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u10092, tc_HOL_Obool), tc_HOL_Obool)), tc_fun(_u10092, tc_HOL_Obool)), c_COMBS(tc_fun(_u10092, tc_HOL_Obool), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u10092, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u10092, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(_u10092, tc_HOL_Obool)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u10092, tc_HOL_Obool)), c_fconj)), c_Orderings_Oord__class_Oless(tc_fun(_u10092, tc_HOL_Obool))))), c_Finite__Set_Ofinite(_u10092))))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_divmod__int__rel__def ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_divmod__int__rel__def-1, axiom, ( ( c_Divides_Odivmod__int__rel(_u10093, _u10094) = 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, _u10093))), 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), _u10094)))))), 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)), _u10094))), 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)), _u10094))))), 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)), _u10094)))), 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), _u10094))), 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)))))))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_prod_Osimps_I2_J ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_prod_Osimps_I2_J-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u10095, _u10096, _u10097), _u10098), hAPP(hAPP(c_Product__Type_OPair(_u10095, _u10096), _u10099), _u10100)) = hAPP(hAPP(_u10098, _u10099), _u10100)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_split__conv ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_split__conv-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u10101, _u10102, _u10103), _u10104), hAPP(hAPP(c_Product__Type_OPair(_u10101, _u10102), _u10105), _u10106)) = hAPP(hAPP(_u10104, _u10105), _u10106)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_Nitpick_OFrac__def ( axiom ) converted to clauses:
% 39.89/40.07 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))))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_int__ge__less__than__def ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_int__ge__less__than__def-1, axiom, ( ( c_Int_Oint__ge__less__than(_u10107) = 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), _u10107)))), c_Orderings_Oord__class_Oless(tc_Int_Oint))))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_int__ge__less__than2__def ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_int__ge__less__than2__def-1, axiom, ( ( c_Int_Oint__ge__less__than2(_u10108) = 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), _u10108)))), c_Orderings_Oord__class_Oless(tc_Int_Oint))))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_Nitpick_Oprod__def ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_Nitpick_Oprod__def-1, axiom, ( ( c_Nitpick_Oprod(_u10109, _u10110, _u10111, _u10112) = hAPP(c_Set_OCollect(tc_prod(_u10109, _u10110)), hAPP(c_Product__Type_Oprod_Oprod__case(_u10109, _u10110, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u10109, tc_fun(_u10110, tc_HOL_Obool), tc_fun(_u10110, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u10110, tc_HOL_Obool), tc_fun(_u10110, tc_HOL_Obool)), _u10109), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u10110)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u10109), c_fconj), hAPP(hAPP(c_COMBC(_u10109, tc_fun(_u10109, tc_HOL_Obool), tc_HOL_Obool), c_member(_u10109)), _u10111)))), hAPP(hAPP(c_COMBC(_u10110, tc_fun(_u10110, tc_HOL_Obool), tc_HOL_Obool), c_member(_u10110)), _u10112))))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_inv__image__def ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_inv__image__def-1, axiom, ( ( hAPP(hAPP(c_Relation_Oinv__image(_u10113, _u10114), _u10115), _u10116) = hAPP(c_Set_OCollect(tc_prod(_u10114, _u10114)), hAPP(c_Product__Type_Oprod_Oprod__case(_u10114, _u10114, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u10114, tc_fun(tc_prod(_u10113, _u10113), tc_HOL_Obool), tc_fun(_u10114, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10114, tc_fun(tc_fun(tc_prod(_u10113, _u10113), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u10113, _u10113), tc_HOL_Obool), tc_fun(_u10114, tc_HOL_Obool)), _u10114), c_COMBC(_u10114, tc_fun(tc_prod(_u10113, _u10113), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10114, tc_prod(_u10113, _u10113)), tc_fun(_u10114, tc_fun(tc_fun(tc_prod(_u10113, _u10113), tc_HOL_Obool), tc_HOL_Obool)), _u10114), hAPP(c_COMBB(tc_prod(_u10113, _u10113), tc_fun(tc_fun(tc_prod(_u10113, _u10113), tc_HOL_Obool), tc_HOL_Obool), _u10114), c_member(tc_prod(_u10113, _u10113)))), hAPP(hAPP(c_COMBC(_u10114, tc_fun(_u10114, _u10113), tc_fun(_u10114, tc_prod(_u10113, _u10113))), hAPP(hAPP(c_COMBB(tc_fun(_u10113, tc_prod(_u10113, _u10113)), tc_fun(tc_fun(_u10114, _u10113), tc_fun(_u10114, tc_prod(_u10113, _u10113))), _u10114), c_COMBB(_u10113, tc_prod(_u10113, _u10113), _u10114)), hAPP(hAPP(c_COMBB(_u10113, tc_fun(_u10113, tc_prod(_u10113, _u10113)), _u10114), c_Product__Type_OPair(_u10113, _u10113)), _u10116))), _u10116)))), _u10115)))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_prod_Orecs ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_prod_Orecs-1, axiom, ( ( c_Product__Type_Oprod_Oprod__rec(_u10117, _u10118, _u10119, _u10120, hAPP(hAPP(c_Product__Type_OPair(_u10117, _u10118), _u10121), _u10122)) = hAPP(hAPP(_u10120, _u10121), _u10122)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_lfp__induct2 ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_lfp__induct2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10125, _u10126)), hAPP(hAPP(c_Product__Type_OPair(_u10125, _u10126), _u10127), _u10128)), c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(tc_prod(_u10125, _u10126), tc_HOL_Obool), _u10129))) | ~c_Orderings_Oorder__class_Omono(tc_fun(tc_prod(_u10125, _u10126), tc_HOL_Obool), tc_fun(tc_prod(_u10125, _u10126), tc_HOL_Obool), _u10129) | hBOOL(hAPP(hAPP(_u10130, _u10127), _u10128)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10125, _u10126)), hAPP(hAPP(c_Product__Type_OPair(_u10125, _u10126), skolem201(_u10130, _u10129, _u10128, _u10127, _u10126, _u10125)), skolem202(_u10130, _u10129, _u10128, _u10127, _u10126, _u10125))), hAPP(_u10129, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u10125, _u10126), tc_HOL_Obool)), c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(tc_prod(_u10125, _u10126), tc_HOL_Obool), _u10129)), hAPP(c_Set_OCollect(tc_prod(_u10125, _u10126)), hAPP(c_Product__Type_Oprod_Oprod__case(_u10125, _u10126, tc_HOL_Obool), _u10130)))))) )).
% 39.89/40.07 cnf(fact_lfp__induct2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10125, _u10126)), hAPP(hAPP(c_Product__Type_OPair(_u10125, _u10126), _u10127), _u10128)), c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(tc_prod(_u10125, _u10126), tc_HOL_Obool), _u10129))) | ~c_Orderings_Oorder__class_Omono(tc_fun(tc_prod(_u10125, _u10126), tc_HOL_Obool), tc_fun(tc_prod(_u10125, _u10126), tc_HOL_Obool), _u10129) | hBOOL(hAPP(hAPP(_u10130, _u10127), _u10128)) | ~hBOOL(hAPP(hAPP(_u10130, skolem201(_u10130, _u10129, _u10128, _u10127, _u10126, _u10125)), skolem202(_u10130, _u10129, _u10128, _u10127, _u10126, _u10125))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_divmod__int__def ( axiom ) converted to clauses:
% 39.89/40.07 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)), _u10133)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10135)) | ( c_Divides_Odivmod__int(_u10133, _u10135) = c_Divides_OposDivAlg(_u10133, _u10135)) )).
% 39.89/40.07 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)), _u10133)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10135)) | ( _u10133 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u10133, _u10135) = 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))) )).
% 39.89/40.07 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)), _u10133)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10135)) | ( _u10133 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u10133, _u10135) = hAPP(c_Divides_OnegateSnd, c_Divides_OnegDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10133), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10135)))) )).
% 39.89/40.07 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)), _u10134)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10136)) | ( c_Divides_Odivmod__int(_u10134, _u10136) = c_Divides_OnegDivAlg(_u10134, _u10136)) )).
% 39.89/40.07 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)), _u10134)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10136)) | ( c_Divides_Odivmod__int(_u10134, _u10136) = hAPP(c_Divides_OnegateSnd, c_Divides_OposDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10134), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10136)))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_in__inv__image ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_in__inv__image-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u10149, _u10149)), hAPP(hAPP(c_Product__Type_OPair(_u10149, _u10149), hAPP(_u10153, _u10145)), hAPP(_u10153, _u10147))), _u10151)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10143, _u10143)), hAPP(hAPP(c_Product__Type_OPair(_u10143, _u10143), _u10145), _u10147)), hAPP(hAPP(c_Relation_Oinv__image(_u10149, _u10143), _u10151), _u10153))) )).
% 39.89/40.07 cnf(fact_in__inv__image-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10150, _u10150)), hAPP(hAPP(c_Product__Type_OPair(_u10150, _u10150), hAPP(_u10154, _u10146)), hAPP(_u10154, _u10148))), _u10152)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10144, _u10144)), hAPP(hAPP(c_Product__Type_OPair(_u10144, _u10144), _u10146), _u10148)), hAPP(hAPP(c_Relation_Oinv__image(_u10150, _u10144), _u10152), _u10154))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_negateSnd__eq ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_negateSnd__eq-1, axiom, ( ( hAPP(c_Divides_OnegateSnd, hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u10155), _u10156)) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u10155), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10156))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_divmod__int__rel__neg ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_divmod__int__rel__neg-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10157), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10158)), _u10159)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u10157, _u10158), hAPP(c_Divides_OnegateSnd, _u10159))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_divmod__int__correct ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_divmod__int__correct-1, axiom, ( ( _u10160 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u10161, _u10160), c_Divides_Odivmod__int(_u10161, _u10160))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_divmod__int__mod__div ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_divmod__int__mod__div-1, axiom, ( ( c_Divides_Odivmod__int(_u10162, _u10163) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10162), _u10163)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10162, _u10163))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_rp__inv__image__def ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_rp__inv__image__def-1, axiom, ( ( c_FunDef_Orp__inv__image(_u10164, _u10165) = hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(tc_prod(_u10164, _u10164), tc_HOL_Obool), tc_fun(tc_prod(_u10164, _u10164), tc_HOL_Obool), tc_fun(tc_fun(_u10165, _u10164), tc_prod(tc_fun(tc_prod(_u10165, _u10165), tc_HOL_Obool), tc_fun(tc_prod(_u10165, _u10165), tc_HOL_Obool)))), hAPP(hAPP(c_COMBC(tc_fun(tc_prod(_u10164, _u10164), tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u10164, _u10164), tc_HOL_Obool), tc_fun(tc_fun(_u10165, _u10164), tc_fun(tc_prod(_u10165, _u10165), tc_HOL_Obool))), tc_fun(tc_fun(tc_prod(_u10164, _u10164), tc_HOL_Obool), tc_fun(tc_fun(_u10165, _u10164), tc_prod(tc_fun(tc_prod(_u10165, _u10165), tc_HOL_Obool), tc_fun(tc_prod(_u10165, _u10165), tc_HOL_Obool))))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_fun(_u10165, _u10164), tc_fun(tc_prod(_u10165, _u10165), tc_HOL_Obool)), tc_fun(tc_fun(_u10165, _u10164), tc_prod(tc_fun(tc_prod(_u10165, _u10165), tc_HOL_Obool), tc_fun(tc_prod(_u10165, _u10165), tc_HOL_Obool)))), tc_fun(tc_fun(tc_fun(tc_prod(_u10164, _u10164), tc_HOL_Obool), tc_fun(tc_fun(_u10165, _u10164), tc_fun(tc_prod(_u10165, _u10165), tc_HOL_Obool))), tc_fun(tc_fun(tc_prod(_u10164, _u10164), tc_HOL_Obool), tc_fun(tc_fun(_u10165, _u10164), tc_prod(tc_fun(tc_prod(_u10165, _u10165), tc_HOL_Obool), tc_fun(tc_prod(_u10165, _u10165), tc_HOL_Obool))))), tc_fun(tc_prod(_u10164, _u10164), tc_HOL_Obool)), c_COMBB(tc_fun(tc_fun(_u10165, _u10164), tc_fun(tc_prod(_u10165, _u10165), tc_HOL_Obool)), tc_fun(tc_fun(_u10165, _u10164), tc_prod(tc_fun(tc_prod(_u10165, _u10165), tc_HOL_Obool), tc_fun(tc_prod(_u10165, _u10165), tc_HOL_Obool))), tc_fun(tc_prod(_u10164, _u10164), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u10165, _u10164), tc_fun(tc_fun(tc_prod(_u10165, _u10165), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u10165, _u10165), tc_HOL_Obool), tc_fun(tc_prod(_u10165, _u10165), tc_HOL_Obool)))), tc_fun(tc_fun(tc_fun(_u10165, _u10164), tc_fun(tc_prod(_u10165, _u10165), tc_HOL_Obool)), tc_fun(tc_fun(_u10165, _u10164), tc_prod(tc_fun(tc_prod(_u10165, _u10165), tc_HOL_Obool), tc_fun(tc_prod(_u10165, _u10165), tc_HOL_Obool)))), tc_fun(tc_prod(_u10164, _u10164), tc_HOL_Obool)), c_COMBS(tc_fun(_u10165, _u10164), tc_fun(tc_prod(_u10165, _u10165), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u10165, _u10165), tc_HOL_Obool), tc_fun(tc_prod(_u10165, _u10165), tc_HOL_Obool)))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u10165, _u10164), tc_fun(tc_prod(_u10165, _u10165), tc_HOL_Obool)), tc_fun(tc_fun(_u10165, _u10164), tc_fun(tc_fun(tc_prod(_u10165, _u10165), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u10165, _u10165), tc_HOL_Obool), tc_fun(tc_prod(_u10165, _u10165), tc_HOL_Obool)))), tc_fun(tc_prod(_u10164, _u10164), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(tc_prod(_u10165, _u10165), tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u10165, _u10165), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u10165, _u10165), tc_HOL_Obool), tc_fun(tc_prod(_u10165, _u10165), tc_HOL_Obool))), tc_fun(_u10165, _u10164)), c_Product__Type_OPair(tc_fun(tc_prod(_u10165, _u10165), tc_HOL_Obool), tc_fun(tc_prod(_u10165, _u10165), tc_HOL_Obool)))), c_Relation_Oinv__image(_u10164, _u10165))))), c_Relation_Oinv__image(_u10164, _u10165)))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_mod__neg__neg ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_mod__neg__neg-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10166), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10167), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10166, _u10167) = 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), _u10166), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10167))))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_div__neg__neg ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_div__neg__neg-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10168), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10169), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10168), _u10169) = 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), _u10168), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10169))))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_mod__pos__neg ( axiom ) converted to clauses:
% 39.89/40.07 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)), _u10170)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10171), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10170, _u10171) = 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), _u10170), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10171))))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_prod__eqI ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_prod__eqI-1, axiom, ( ( hAPP(c_Product__Type_Ofst(_u10172, _u10173), _u10174) != hAPP(c_Product__Type_Ofst(_u10172, _u10173), _u10175)) | ( hAPP(c_Product__Type_Osnd(_u10172, _u10173), _u10174) != hAPP(c_Product__Type_Osnd(_u10172, _u10173), _u10175)) | ( _u10174 = _u10175) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_Pair__fst__snd__eq ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_Pair__fst__snd__eq-1, axiom, ( ( _u10180 != _u10182) | ( hAPP(c_Product__Type_Ofst(_u10184, _u10186), _u10180) = hAPP(c_Product__Type_Ofst(_u10184, _u10186), _u10182)) )).
% 39.89/40.07 cnf(fact_Pair__fst__snd__eq-2, axiom, ( ( _u10180 != _u10182) | ( hAPP(c_Product__Type_Osnd(_u10184, _u10186), _u10180) = hAPP(c_Product__Type_Osnd(_u10184, _u10186), _u10182)) )).
% 39.89/40.07 cnf(fact_Pair__fst__snd__eq-3, axiom, ( ( hAPP(c_Product__Type_Ofst(_u10185, _u10187), _u10181) != hAPP(c_Product__Type_Ofst(_u10185, _u10187), _u10183)) | ( hAPP(c_Product__Type_Osnd(_u10185, _u10187), _u10181) != hAPP(c_Product__Type_Osnd(_u10185, _u10187), _u10183)) | ( _u10181 = _u10183) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_snd__eqD ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_snd__eqD-1, axiom, ( ( _u10191 = _u10192) | ( hAPP(c_Product__Type_Osnd(_u10188, _u10189), hAPP(hAPP(c_Product__Type_OPair(_u10188, _u10189), _u10190), _u10191)) != _u10192) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_fst__eqD ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_fst__eqD-1, axiom, ( ( _u10195 = _u10197) | ( hAPP(c_Product__Type_Ofst(_u10193, _u10194), hAPP(hAPP(c_Product__Type_OPair(_u10193, _u10194), _u10195), _u10196)) != _u10197) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_pair__collapse ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_pair__collapse-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OPair(_u10198, _u10199), hAPP(c_Product__Type_Ofst(_u10198, _u10199), _u10200)), hAPP(c_Product__Type_Osnd(_u10198, _u10199), _u10200)) = _u10200) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_snd__conv ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_snd__conv-1, axiom, ( ( hAPP(c_Product__Type_Osnd(_u10201, _u10202), hAPP(hAPP(c_Product__Type_OPair(_u10201, _u10202), _u10203), _u10204)) = _u10204) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_fst__conv ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_fst__conv-1, axiom, ( ( hAPP(c_Product__Type_Ofst(_u10205, _u10206), hAPP(hAPP(c_Product__Type_OPair(_u10205, _u10206), _u10207), _u10208)) = _u10207) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_surjective__pairing ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_surjective__pairing-1, axiom, ( ( _u10209 = hAPP(hAPP(c_Product__Type_OPair(_u10210, _u10211), hAPP(c_Product__Type_Ofst(_u10210, _u10211), _u10209)), hAPP(c_Product__Type_Osnd(_u10210, _u10211), _u10209))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_split__comp ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_split__comp-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u10212, _u10213, _u10214), hAPP(c_Fun_Ocomp(_u10215, tc_fun(_u10213, _u10214), _u10212, _u10216), _u10217)), _u10218) = hAPP(hAPP(_u10216, hAPP(_u10217, hAPP(c_Product__Type_Ofst(_u10212, _u10213), _u10218))), hAPP(c_Product__Type_Osnd(_u10212, _u10213), _u10218))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_split__beta ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_split__beta-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u10219, _u10220, _u10221), _u10222), _u10223) = hAPP(hAPP(_u10222, hAPP(c_Product__Type_Ofst(_u10219, _u10220), _u10223)), hAPP(c_Product__Type_Osnd(_u10219, _u10220), _u10223))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_prod__case__beta ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_prod__case__beta-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u10224, _u10225, _u10226), _u10227), _u10228) = hAPP(hAPP(_u10227, hAPP(c_Product__Type_Ofst(_u10224, _u10225), _u10228)), hAPP(c_Product__Type_Osnd(_u10224, _u10225), _u10228))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_split__comp__eq ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_split__comp__eq-1, axiom, ( ( hAPP(hAPP(c_COMBS(tc_prod(_u10229, _u10230), _u10230, _u10231), hAPP(hAPP(c_COMBB(_u10232, tc_fun(_u10230, _u10231), tc_prod(_u10229, _u10230)), _u10233), hAPP(hAPP(c_COMBB(_u10229, _u10232, tc_prod(_u10229, _u10230)), _u10234), c_Product__Type_Ofst(_u10229, _u10230)))), c_Product__Type_Osnd(_u10229, _u10230)) = hAPP(c_Product__Type_Oprod_Oprod__case(_u10229, _u10230, _u10231), hAPP(hAPP(c_COMBB(_u10232, tc_fun(_u10230, _u10231), _u10229), _u10233), _u10234))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_split__def ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_split__def-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u10235, _u10236, _u10237), _u10238), _u10239) = hAPP(hAPP(_u10238, hAPP(c_Product__Type_Ofst(_u10235, _u10236), _u10239)), hAPP(c_Product__Type_Osnd(_u10235, _u10236), _u10239))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_The__split ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_The__split-1, axiom, ( ( c_HOL_OThe(tc_prod(_u10240, _u10241), hAPP(c_Product__Type_Oprod_Oprod__case(_u10240, _u10241, tc_HOL_Obool), _u10242)) = c_HOL_OThe(tc_prod(_u10240, _u10241), hAPP(hAPP(c_COMBS(tc_prod(_u10240, _u10241), _u10241, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u10240, tc_fun(_u10241, tc_HOL_Obool), tc_prod(_u10240, _u10241)), _u10242), c_Product__Type_Ofst(_u10240, _u10241))), c_Product__Type_Osnd(_u10240, _u10241)))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_fst__def ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_fst__def-1, axiom, ( ( hAPP(c_Product__Type_Ofst(_u10243, _u10244), _u10245) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u10243, _u10244, _u10243), c_COMBK(_u10243, _u10244)), _u10245)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_snd__def ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_snd__def-1, axiom, ( ( hAPP(c_Product__Type_Osnd(_u10246, _u10247), _u10248) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u10246, _u10247, _u10247), hAPP(c_COMBK(tc_fun(_u10247, _u10247), _u10246), c_COMBI(_u10247))), _u10248)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_div__int__def ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_div__int__def-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10249), _u10250) = hAPP(c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint), c_Divides_Odivmod__int(_u10249, _u10250))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_mod__int__def ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_mod__int__def-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10251, _u10252) = hAPP(c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint), c_Divides_Odivmod__int(_u10251, _u10252))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_div__neg__pos ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_div__neg__pos-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10253), 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)), _u10254)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10253), _u10254) = hAPP(c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint), c_Divides_OnegDivAlg(_u10253, _u10254))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_mod__neg__pos ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_mod__neg__pos-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10255), 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)), _u10256)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10255, _u10256) = hAPP(c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint), c_Divides_OnegDivAlg(_u10255, _u10256))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_div__pos__pos ( axiom ) converted to clauses:
% 39.89/40.07 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)), _u10257)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10258)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10257), _u10258) = hAPP(c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint), c_Divides_OposDivAlg(_u10257, _u10258))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_mod__pos__pos ( axiom ) converted to clauses:
% 39.89/40.07 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)), _u10259)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10260)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10259, _u10260) = hAPP(c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint), c_Divides_OposDivAlg(_u10259, _u10260))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_div__pos__neg ( axiom ) converted to clauses:
% 39.89/40.07 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)), _u10261)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10262), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10261), _u10262) = 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), _u10261), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10262))))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_prod__size__simp ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_prod__size__simp-1, axiom, ( ( c_Product__Type_Oprod_Oprod__size(_u10263, _u10264, _u10265, _u10266, _u10267) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u10265, hAPP(c_Product__Type_Ofst(_u10263, _u10264), _u10267))), hAPP(_u10266, hAPP(c_Product__Type_Osnd(_u10263, _u10264), _u10267)))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_conjI__realizer ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_conjI__realizer-1, axiom, ( ~hBOOL(hAPP(_u10268, _u10269)) | ~hBOOL(hAPP(_u10270, _u10271)) | hBOOL(hAPP(_u10268, hAPP(c_Product__Type_Ofst(_u10272, _u10273), hAPP(hAPP(c_Product__Type_OPair(_u10272, _u10273), _u10269), _u10271)))) )).
% 39.89/40.07 cnf(fact_conjI__realizer-2, axiom, ( ~hBOOL(hAPP(_u10268, _u10269)) | ~hBOOL(hAPP(_u10270, _u10271)) | hBOOL(hAPP(_u10270, hAPP(c_Product__Type_Osnd(_u10272, _u10273), hAPP(hAPP(c_Product__Type_OPair(_u10272, _u10273), _u10269), _u10271)))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_exI__realizer ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_exI__realizer-1, axiom, ( ~hBOOL(hAPP(hAPP(_u10274, _u10275), _u10276)) | hBOOL(hAPP(hAPP(_u10274, hAPP(c_Product__Type_Osnd(_u10277, _u10278), hAPP(hAPP(c_Product__Type_OPair(_u10277, _u10278), _u10276), _u10275))), hAPP(c_Product__Type_Ofst(_u10277, _u10278), hAPP(hAPP(c_Product__Type_OPair(_u10277, _u10278), _u10276), _u10275)))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_div__pos__neg__1__number__of ( axiom ) converted to clauses:
% 39.89/40.07 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), _u10279)), 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), _u10279)) = 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), _u10279)))))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_of__nat__number__of__lemma ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_of__nat__number__of__lemma-1, axiom, ( ~class_Int_Onumber__ring(_u10280) | ~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), _u10281))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10280), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10281)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10280), _u10281)) )).
% 39.89/40.07 cnf(fact_of__nat__number__of__lemma-2, axiom, ( ~class_Int_Onumber__ring(_u10280) | 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), _u10281))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10280), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10281)) = c_Groups_Ozero__class_Ozero(_u10280)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_minus__numeral__code_I5_J ( axiom ) converted to clauses:
% 39.89/40.07 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), _u10282)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10282))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_times__numeral__code_I5_J ( axiom ) converted to clauses:
% 39.89/40.07 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), _u10283)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10284)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10283), _u10284))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_number__of__is__id ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_number__of__is__id-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10285) = _u10285) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_number__of__reorient ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_number__of__reorient-1, axiom, ( ~class_Int_Onumber(_u10286) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10286), _u10287) != _u10288) | ( _u10288 = hAPP(c_Int_Onumber__class_Onumber__of(_u10286), _u10287)) )).
% 39.89/40.07 cnf(fact_number__of__reorient-2, axiom, ( ~class_Int_Onumber(_u10286) | ( _u10288 != hAPP(c_Int_Onumber__class_Onumber__of(_u10286), _u10287)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10286), _u10287) = _u10288) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_eq__number__of ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_eq__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u10289) | ~class_Int_Oring__char__0(_u10289) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10289), _u10290) != hAPP(c_Int_Onumber__class_Onumber__of(_u10289), _u10291)) | ( _u10290 = _u10291) )).
% 39.89/40.07 cnf(fact_eq__number__of-2, axiom, ( ~class_Int_Onumber__ring(_u10289) | ~class_Int_Oring__char__0(_u10289) | ( _u10290 != _u10291) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10289), _u10290) = hAPP(c_Int_Onumber__class_Onumber__of(_u10289), _u10291)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_plus__numeral__code_I9_J ( axiom ) converted to clauses:
% 39.89/40.07 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), _u10292)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10293)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10292), _u10293))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_less__number__of__int__code ( axiom ) converted to clauses:
% 39.89/40.07 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), _u10296)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10298))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10296), _u10298)) )).
% 39.89/40.07 cnf(fact_less__number__of__int__code-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10297), _u10299)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10297)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10299))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_less__eq__number__of__int__code ( axiom ) converted to clauses:
% 39.89/40.07 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), _u10302)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10304))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10302), _u10304)) )).
% 39.89/40.07 cnf(fact_less__eq__number__of__int__code-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10303), _u10305)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10303)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10305))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_le__number__of__eq__not__less ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_le__number__of__eq__not__less-1, axiom, ( ~class_Int_Onumber(_u10306) | ~class_Orderings_Olinorder(_u10306) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10306), hAPP(c_Int_Onumber__class_Onumber__of(_u10306), _u10307)), hAPP(c_Int_Onumber__class_Onumber__of(_u10306), _u10308))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10306), hAPP(c_Int_Onumber__class_Onumber__of(_u10306), _u10308)), hAPP(c_Int_Onumber__class_Onumber__of(_u10306), _u10307))) )).
% 39.89/40.07 cnf(fact_le__number__of__eq__not__less-2, axiom, ( ~class_Int_Onumber(_u10306) | ~class_Orderings_Olinorder(_u10306) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10306), hAPP(c_Int_Onumber__class_Onumber__of(_u10306), _u10308)), hAPP(c_Int_Onumber__class_Onumber__of(_u10306), _u10307))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10306), hAPP(c_Int_Onumber__class_Onumber__of(_u10306), _u10307)), hAPP(c_Int_Onumber__class_Onumber__of(_u10306), _u10308))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_left__distrib__number__of ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_left__distrib__number__of-1, axiom, ( ~class_Int_Onumber(_u10309) | ~class_Rings_Osemiring(_u10309) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10309), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10309), _u10310), _u10311)), hAPP(c_Int_Onumber__class_Onumber__of(_u10309), _u10312)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10309), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10309), _u10310), hAPP(c_Int_Onumber__class_Onumber__of(_u10309), _u10312))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10309), _u10311), hAPP(c_Int_Onumber__class_Onumber__of(_u10309), _u10312)))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_right__distrib__number__of ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_right__distrib__number__of-1, axiom, ( ~class_Int_Onumber(_u10313) | ~class_Rings_Osemiring(_u10313) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10313), hAPP(c_Int_Onumber__class_Onumber__of(_u10313), _u10314)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10313), _u10315), _u10316)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10313), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10313), hAPP(c_Int_Onumber__class_Onumber__of(_u10313), _u10314)), _u10315)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10313), hAPP(c_Int_Onumber__class_Onumber__of(_u10313), _u10314)), _u10316))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_left__diff__distrib__number__of ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_left__diff__distrib__number__of-1, axiom, ( ~class_Int_Onumber(_u10317) | ~class_Rings_Oring(_u10317) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10317), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10317), _u10318), _u10319)), hAPP(c_Int_Onumber__class_Onumber__of(_u10317), _u10320)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10317), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10317), _u10318), hAPP(c_Int_Onumber__class_Onumber__of(_u10317), _u10320))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10317), _u10319), hAPP(c_Int_Onumber__class_Onumber__of(_u10317), _u10320)))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_right__diff__distrib__number__of ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_right__diff__distrib__number__of-1, axiom, ( ~class_Int_Onumber(_u10321) | ~class_Rings_Oring(_u10321) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10321), hAPP(c_Int_Onumber__class_Onumber__of(_u10321), _u10322)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10321), _u10323), _u10324)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10321), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10321), hAPP(c_Int_Onumber__class_Onumber__of(_u10321), _u10322)), _u10323)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10321), hAPP(c_Int_Onumber__class_Onumber__of(_u10321), _u10322)), _u10324))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_le__number__of ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_le__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u10325) | ~class_Rings_Olinordered__idom(_u10325) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10325), hAPP(c_Int_Onumber__class_Onumber__of(_u10325), _u10326)), hAPP(c_Int_Onumber__class_Onumber__of(_u10325), _u10327))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10326), _u10327)) )).
% 39.89/40.07 cnf(fact_le__number__of-2, axiom, ( ~class_Int_Onumber__ring(_u10325) | ~class_Rings_Olinordered__idom(_u10325) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10326), _u10327)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10325), hAPP(c_Int_Onumber__class_Onumber__of(_u10325), _u10326)), hAPP(c_Int_Onumber__class_Onumber__of(_u10325), _u10327))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_less__number__of ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_less__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u10328) | ~class_Rings_Olinordered__idom(_u10328) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10328), hAPP(c_Int_Onumber__class_Onumber__of(_u10328), _u10329)), hAPP(c_Int_Onumber__class_Onumber__of(_u10328), _u10330))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10329), _u10330)) )).
% 39.89/40.07 cnf(fact_less__number__of-2, axiom, ( ~class_Int_Onumber__ring(_u10328) | ~class_Rings_Olinordered__idom(_u10328) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10329), _u10330)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10328), hAPP(c_Int_Onumber__class_Onumber__of(_u10328), _u10329)), hAPP(c_Int_Onumber__class_Onumber__of(_u10328), _u10330))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_min__number__of ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_min__number__of-1, axiom, ( ~class_Int_Onumber(_u10331) | ~class_Orderings_Oord(_u10331) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10331), hAPP(c_Int_Onumber__class_Onumber__of(_u10331), _u10332)), hAPP(c_Int_Onumber__class_Onumber__of(_u10331), _u10333))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10331), hAPP(c_Int_Onumber__class_Onumber__of(_u10331), _u10332)), hAPP(c_Int_Onumber__class_Onumber__of(_u10331), _u10333)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10331), _u10332)) )).
% 39.89/40.07 cnf(fact_min__number__of-2, axiom, ( ~class_Int_Onumber(_u10331) | ~class_Orderings_Oord(_u10331) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10331), hAPP(c_Int_Onumber__class_Onumber__of(_u10331), _u10332)), hAPP(c_Int_Onumber__class_Onumber__of(_u10331), _u10333))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10331), hAPP(c_Int_Onumber__class_Onumber__of(_u10331), _u10332)), hAPP(c_Int_Onumber__class_Onumber__of(_u10331), _u10333)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10331), _u10333)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_max__number__of ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_max__number__of-1, axiom, ( ~class_Int_Onumber(_u10334) | ~class_Orderings_Oord(_u10334) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10334), hAPP(c_Int_Onumber__class_Onumber__of(_u10334), _u10335)), hAPP(c_Int_Onumber__class_Onumber__of(_u10334), _u10336))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10334), hAPP(c_Int_Onumber__class_Onumber__of(_u10334), _u10335)), hAPP(c_Int_Onumber__class_Onumber__of(_u10334), _u10336)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10334), _u10336)) )).
% 39.89/40.07 cnf(fact_max__number__of-2, axiom, ( ~class_Int_Onumber(_u10334) | ~class_Orderings_Oord(_u10334) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10334), hAPP(c_Int_Onumber__class_Onumber__of(_u10334), _u10335)), hAPP(c_Int_Onumber__class_Onumber__of(_u10334), _u10336))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10334), hAPP(c_Int_Onumber__class_Onumber__of(_u10334), _u10335)), hAPP(c_Int_Onumber__class_Onumber__of(_u10334), _u10336)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10334), _u10335)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_add__number__of__left ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_add__number__of__left-1, axiom, ( ~class_Int_Onumber__ring(_u10337) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10337), hAPP(c_Int_Onumber__class_Onumber__of(_u10337), _u10338)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10337), hAPP(c_Int_Onumber__class_Onumber__of(_u10337), _u10339)), _u10340)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10337), hAPP(c_Int_Onumber__class_Onumber__of(_u10337), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10338), _u10339))), _u10340)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_add__number__of__eq ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_add__number__of__eq-1, axiom, ( ~class_Int_Onumber__ring(_u10341) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10341), hAPP(c_Int_Onumber__class_Onumber__of(_u10341), _u10342)), hAPP(c_Int_Onumber__class_Onumber__of(_u10341), _u10343)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10341), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10342), _u10343))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_number__of__add ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_number__of__add-1, axiom, ( ~class_Int_Onumber__ring(_u10344) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10344), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10345), _u10346)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10344), hAPP(c_Int_Onumber__class_Onumber__of(_u10344), _u10345)), hAPP(c_Int_Onumber__class_Onumber__of(_u10344), _u10346))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_mult__number__of__left ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_mult__number__of__left-1, axiom, ( ~class_Int_Onumber__ring(_u10347) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10347), hAPP(c_Int_Onumber__class_Onumber__of(_u10347), _u10348)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10347), hAPP(c_Int_Onumber__class_Onumber__of(_u10347), _u10349)), _u10350)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10347), hAPP(c_Int_Onumber__class_Onumber__of(_u10347), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10348), _u10349))), _u10350)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_arith__simps_I32_J ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_arith__simps_I32_J-1, axiom, ( ~class_Int_Onumber__ring(_u10351) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10351), hAPP(c_Int_Onumber__class_Onumber__of(_u10351), _u10352)), hAPP(c_Int_Onumber__class_Onumber__of(_u10351), _u10353)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10351), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10352), _u10353))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_number__of__mult ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_number__of__mult-1, axiom, ( ~class_Int_Onumber__ring(_u10354) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10354), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10355), _u10356)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10354), hAPP(c_Int_Onumber__class_Onumber__of(_u10354), _u10355)), hAPP(c_Int_Onumber__class_Onumber__of(_u10354), _u10356))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_number__of__diff ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_number__of__diff-1, axiom, ( ~class_Int_Onumber__ring(_u10357) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10357), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10358), _u10359)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10357), hAPP(c_Int_Onumber__class_Onumber__of(_u10357), _u10358)), hAPP(c_Int_Onumber__class_Onumber__of(_u10357), _u10359))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_number__of__minus ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_number__of__minus-1, axiom, ( ~class_Int_Onumber__ring(_u10360) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10360), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10361)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u10360), hAPP(c_Int_Onumber__class_Onumber__of(_u10360), _u10361))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_arith__simps_I30_J ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_arith__simps_I30_J-1, axiom, ( ~class_Int_Onumber__ring(_u10362) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u10362), hAPP(c_Int_Onumber__class_Onumber__of(_u10362), _u10363)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10362), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10363))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_Ints__number__of ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_Ints__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u10364) | hBOOL(hAPP(hAPP(c_member(_u10364), hAPP(c_Int_Onumber__class_Onumber__of(_u10364), _u10365)), c_Int_Oring__1__class_OInts(_u10364))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_div__nat__def ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_div__nat__def-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u10366), _u10367) = hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), c_Divides_Odivmod__nat(_u10366, _u10367))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_mod__nat__def ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_mod__nat__def-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10368, _u10369) = hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), c_Divides_Odivmod__nat(_u10368, _u10369))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_add__number__of__diff1 ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_add__number__of__diff1-1, axiom, ( ~class_Int_Onumber__ring(_u10370) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10370), hAPP(c_Int_Onumber__class_Onumber__of(_u10370), _u10371)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10370), hAPP(c_Int_Onumber__class_Onumber__of(_u10370), _u10372)), _u10373)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10370), hAPP(c_Int_Onumber__class_Onumber__of(_u10370), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10371), _u10372))), _u10373)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_minus__number__of__mult ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_minus__number__of__mult-1, axiom, ( ~class_Int_Onumber__ring(_u10374) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10374), hAPP(c_Groups_Ouminus__class_Ouminus(_u10374), hAPP(c_Int_Onumber__class_Onumber__of(_u10374), _u10375))), _u10376) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10374), hAPP(c_Int_Onumber__class_Onumber__of(_u10374), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10375))), _u10376)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_diff__number__of__eq ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_diff__number__of__eq-1, axiom, ( ~class_Int_Onumber__ring(_u10377) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10377), hAPP(c_Int_Onumber__class_Onumber__of(_u10377), _u10378)), hAPP(c_Int_Onumber__class_Onumber__of(_u10377), _u10379)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10377), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10378), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10379)))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_divmod__nat__rel__def ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_divmod__nat__rel__def-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u10383, _u10385), _u10387)) | ( _u10383 = 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), _u10387)), _u10385)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u10387))) )).
% 39.89/40.07 cnf(fact_divmod__nat__rel__def-2, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u10383, _u10385), _u10387)) | ( _u10385 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u10387) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.07 cnf(fact_divmod__nat__rel__def-3, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u10383, _u10385), _u10387)) | ( _u10385 = 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)), _u10385)) | 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), _u10387))) )).
% 39.89/40.07 cnf(fact_divmod__nat__rel__def-4, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u10383, _u10385), _u10387)) | ( _u10385 = 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)), _u10385)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u10387)), _u10385)) )).
% 39.89/40.07 cnf(fact_divmod__nat__rel__def-5, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u10383, _u10385), _u10387)) | ( _u10385 = 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)), _u10385)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10385), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u10387))) )).
% 39.89/40.07 cnf(fact_divmod__nat__rel__def-6, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u10383, _u10385), _u10387)) | ( _u10385 = 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)), _u10385)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u10387)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 39.89/40.07 cnf(fact_divmod__nat__rel__def-7, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u10384, _u10386), _u10388)) | ( _u10384 != 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), _u10388)), _u10386)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u10388))) | ( _u10386 = 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)), _u10386)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10386), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u10388))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u10388)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 39.89/40.07 cnf(fact_divmod__nat__rel__def-8, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u10384, _u10386), _u10388)) | ( _u10384 != 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), _u10388)), _u10386)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u10388))) | ( _u10386 = 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), _u10388))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u10388)), _u10386)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10386)) )).
% 39.89/40.07 cnf(fact_divmod__nat__rel__def-9, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u10384, _u10386), _u10388)) | ( _u10384 != 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), _u10388)), _u10386)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u10388))) | ( _u10386 = 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), _u10388))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u10388)), _u10386)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10386), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u10388))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u10388)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 39.89/40.07 cnf(fact_divmod__nat__rel__def-10, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u10384, _u10386), _u10388)) | ( _u10384 != 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), _u10388)), _u10386)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u10388))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u10388) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u10386 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.07 cnf(fact_divmod__nat__rel__def-11, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u10384, _u10386), _u10388)) | ( _u10384 != 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), _u10388)), _u10386)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u10388))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u10388) != 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)), _u10386)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10386), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u10388))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u10388)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 39.89/40.07 cnf(fact_divmod__nat__rel__def-12, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u10384, _u10386), _u10388)) | ( _u10384 != 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), _u10388)), _u10386)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u10388))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u10388) != 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), _u10388))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u10388)), _u10386)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10386)) )).
% 39.89/40.07 cnf(fact_divmod__nat__rel__def-13, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u10384, _u10386), _u10388)) | ( _u10384 != 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), _u10388)), _u10386)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u10388))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u10388) != 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), _u10388))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u10388)), _u10386)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10386), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u10388))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u10388)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_minus__numeral__code_I6_J ( axiom ) converted to clauses:
% 39.89/40.07 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), _u10389)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10390)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10389), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10390)))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_add__number__of__diff2 ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_add__number__of__diff2-1, axiom, ( ~class_Int_Onumber__ring(_u10391) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10391), hAPP(c_Int_Onumber__class_Onumber__of(_u10391), _u10392)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10391), _u10393), hAPP(c_Int_Onumber__class_Onumber__of(_u10391), _u10394))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10391), hAPP(c_Int_Onumber__class_Onumber__of(_u10391), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10392), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10394)))), _u10393)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_mod__pos__pos__1__number__of ( axiom ) converted to clauses:
% 39.89/40.07 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), _u10395))) | ( 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), _u10395)) = 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), _u10395)))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_div__pos__pos__1__number__of ( axiom ) converted to clauses:
% 39.89/40.07 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), _u10396))) | ( 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), _u10396)) = 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), _u10396)))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_mod__pos__neg__1__number__of ( axiom ) converted to clauses:
% 39.89/40.07 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), _u10397)), 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), _u10397)) = 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), _u10397)))))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_power__number__of__odd__number__of ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_power__number__of__odd__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u10398) | ~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), _u10399))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10398), hAPP(c_Int_Onumber__class_Onumber__of(_u10398), _u10400)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u10399))) = hAPP(hAPP(c_HOL_OLet(_u10398, _u10398), hAPP(hAPP(c_Power_Opower__class_Opower(_u10398), hAPP(c_Int_Onumber__class_Onumber__of(_u10398), _u10400)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10399))), hAPP(hAPP(c_COMBS(_u10398, _u10398, _u10398), hAPP(hAPP(c_COMBB(_u10398, tc_fun(_u10398, _u10398), _u10398), c_Groups_Otimes__class_Otimes(_u10398)), hAPP(c_Groups_Otimes__class_Otimes(_u10398), hAPP(c_Int_Onumber__class_Onumber__of(_u10398), _u10400)))), c_COMBI(_u10398)))) )).
% 39.89/40.07 cnf(fact_power__number__of__odd__number__of-2, axiom, ( ~class_Int_Onumber__ring(_u10398) | 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), _u10399))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10398), hAPP(c_Int_Onumber__class_Onumber__of(_u10398), _u10400)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u10399))) = c_Groups_Oone__class_Oone(_u10398)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_ivl__disj__un_I4_J ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_ivl__disj__un_I4_J-1, axiom, ( ~class_Orderings_Olinorder(_u10401) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10401), _u10402), _u10403)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10401, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10401, _u10402, _u10403)), hAPP(hAPP(c_Set_Oinsert(_u10401), _u10403), c_Orderings_Obot__class_Obot(tc_fun(_u10401, tc_HOL_Obool)))) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u10401, _u10402, _u10403)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_setprod__gen__delta ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_setprod__gen__delta-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10404) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10405), _u10406)) | ~hBOOL(hAPP(hAPP(c_member(_u10405), _u10407), _u10406)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10405, _u10404), hAPP(hAPP(c_COMBC(_u10405, _u10404, _u10404), hAPP(hAPP(c_COMBS(_u10405, _u10404, tc_fun(_u10404, _u10404)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10404, tc_fun(_u10404, _u10404)), _u10405), c_If(_u10404)), hAPP(hAPP(c_COMBC(_u10405, _u10405, tc_HOL_Obool), c_fequal), _u10407))), _u10408)), _u10409)), _u10406) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10404), hAPP(_u10408, _u10407)), hAPP(hAPP(c_Power_Opower__class_Opower(_u10404), _u10409), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10405), _u10406)), c_Groups_Oone__class_Oone(tc_Nat_Onat))))) )).
% 39.89/40.07 cnf(fact_setprod__gen__delta-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10404) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10405), _u10406)) | hBOOL(hAPP(hAPP(c_member(_u10405), _u10407), _u10406)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10405, _u10404), hAPP(hAPP(c_COMBC(_u10405, _u10404, _u10404), hAPP(hAPP(c_COMBS(_u10405, _u10404, tc_fun(_u10404, _u10404)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10404, tc_fun(_u10404, _u10404)), _u10405), c_If(_u10404)), hAPP(hAPP(c_COMBC(_u10405, _u10405, tc_HOL_Obool), c_fequal), _u10407))), _u10408)), _u10409)), _u10406) = hAPP(hAPP(c_Power_Opower__class_Opower(_u10404), _u10409), hAPP(c_Finite__Set_Ocard(_u10405), _u10406))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_image__atLeastZeroLessThan__int ( axiom ) converted to clauses:
% 39.89/40.07 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)), _u10410)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10410) = 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, _u10410)))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_finite__greaterThanAtMost ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_finite__greaterThanAtMost-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u10411, _u10412))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_finite__greaterThanAtMost__int ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_finite__greaterThanAtMost__int-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u10413, _u10414))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_nat__number__of__def ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_nat__number__of__def-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10415) = hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10415))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_nat__number__of ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_nat__number__of-1, axiom, ( ( hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10416)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10416)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_card__greaterThanAtMost__int ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_card__greaterThanAtMost__int-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u10417, _u10418)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10418), _u10417))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_less__eq__int__code_I16_J ( axiom ) converted to clauses:
% 39.89/40.07 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(_u10421)), c_Int_OBit1(_u10423))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10421), _u10423)) )).
% 39.89/40.07 cnf(fact_less__eq__int__code_I16_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10422), _u10424)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u10422)), c_Int_OBit1(_u10424))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_rel__simps_I34_J ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_rel__simps_I34_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u10427)), c_Int_OBit1(_u10429))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10427), _u10429)) )).
% 39.89/40.07 cnf(fact_rel__simps_I34_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10428), _u10430)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u10428)), c_Int_OBit1(_u10430))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_less__int__code_I16_J ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_less__int__code_I16_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u10433)), c_Int_OBit1(_u10435))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10433), _u10435)) )).
% 39.89/40.07 cnf(fact_less__int__code_I16_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10434), _u10436)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u10434)), c_Int_OBit1(_u10436))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_rel__simps_I17_J ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_rel__simps_I17_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u10439)), c_Int_OBit1(_u10441))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10439), _u10441)) )).
% 39.89/40.07 cnf(fact_rel__simps_I17_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10440), _u10442)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u10440)), c_Int_OBit1(_u10442))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_nat__int ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_nat__int-1, axiom, ( ( hAPP(c_Int_Onat, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10443)) = _u10443) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_rel__simps_I51_J ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_rel__simps_I51_J-1, axiom, ( ( c_Int_OBit1(_u10446) != c_Int_OBit1(_u10448)) | ( _u10446 = _u10448) )).
% 39.89/40.07 cnf(fact_rel__simps_I51_J-2, axiom, ( ( _u10447 != _u10449) | ( c_Int_OBit1(_u10447) = c_Int_OBit1(_u10449)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_setprod__timesf ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_setprod__timesf-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10450) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10451, _u10450), hAPP(hAPP(c_COMBS(_u10451, _u10450, _u10450), hAPP(hAPP(c_COMBB(_u10450, tc_fun(_u10450, _u10450), _u10451), c_Groups_Otimes__class_Otimes(_u10450)), _u10452)), _u10453)), _u10454) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10450), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10451, _u10450), _u10452), _u10454)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10451, _u10450), _u10453), _u10454))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_setprod__1 ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_setprod__1-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10455) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10456, _u10455), hAPP(c_COMBK(_u10455, _u10456), c_Groups_Oone__class_Oone(_u10455))), _u10457) = c_Groups_Oone__class_Oone(_u10455)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_transfer__nat__int__sum__prod2_I2_J ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_transfer__nat__int__sum__prod2_I2_J-1, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10458, tc_Nat_Onat), _u10459), _u10460) = hAPP(c_Int_Onat, hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10458, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u10458), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10459)), _u10460))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_of__nat__setprod ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_of__nat__setprod-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10461) | ~class_Rings_Osemiring__1(_u10461) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10461), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10462, tc_Nat_Onat), _u10463), _u10464)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10462, _u10461), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u10461, _u10462), c_Nat_Osemiring__1__class_Oof__nat(_u10461)), _u10463)), _u10464)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_int__setprod ( axiom ) converted to clauses:
% 39.89/40.07 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(_u10465, tc_Nat_Onat), _u10466), _u10467)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10465, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u10465), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10466)), _u10467)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_transfer__nat__int__sum__prod_I2_J ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_transfer__nat__int__sum__prod_I2_J-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u10468) | ~class_Groups_Ocomm__monoid__mult(_u10468) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat, _u10468), _u10469), _u10470) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u10468), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u10468, tc_Int_Oint), _u10469), c_Int_Onat)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10470))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_setprod__zero ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_setprod__zero-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u10472) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10473), _u10474)) | ~hBOOL(hAPP(hAPP(c_member(_u10473), _u10471), _u10474)) | ( hAPP(_u10475, _u10471) != c_Groups_Ozero__class_Ozero(_u10472)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10473, _u10472), _u10475), _u10474) = c_Groups_Ozero__class_Ozero(_u10472)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_setprod__zero__iff ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_setprod__zero__iff-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u10478) | ~class_Rings_Ono__zero__divisors(_u10478) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10479), _u10480)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10479, _u10478), _u10481), _u10480) != c_Groups_Ozero__class_Ozero(_u10478)) | hBOOL(hAPP(hAPP(c_member(_u10479), skolem203(_u10481, _u10480, _u10479, _u10478)), _u10480)) )).
% 39.89/40.07 cnf(fact_setprod__zero__iff-2, axiom, ( ~class_Rings_Ocomm__semiring__1(_u10478) | ~class_Rings_Ono__zero__divisors(_u10478) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10479), _u10480)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10479, _u10478), _u10481), _u10480) != c_Groups_Ozero__class_Ozero(_u10478)) | ( hAPP(_u10481, skolem203(_u10481, _u10480, _u10479, _u10478)) = c_Groups_Ozero__class_Ozero(_u10478)) )).
% 39.89/40.07 cnf(fact_setprod__zero__iff-3, axiom, ( ~class_Rings_Ocomm__semiring__1(_u10478) | ~class_Rings_Ono__zero__divisors(_u10478) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10479), _u10480)) | ~hBOOL(hAPP(hAPP(c_member(_u10479), _u10477), _u10480)) | ( hAPP(_u10481, _u10477) != c_Groups_Ozero__class_Ozero(_u10478)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10479, _u10478), _u10481), _u10480) = c_Groups_Ozero__class_Ozero(_u10478)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_setprod_Oempty ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_setprod_Oempty-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10482) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10483, _u10482), _u10484), c_Orderings_Obot__class_Obot(tc_fun(_u10483, tc_HOL_Obool))) = c_Groups_Oone__class_Oone(_u10482)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_setprod__empty ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_setprod__empty-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10485) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10486, _u10485), _u10487), c_Orderings_Obot__class_Obot(tc_fun(_u10486, tc_HOL_Obool))) = c_Groups_Oone__class_Oone(_u10485)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_setprod__infinite ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_setprod__infinite-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10488) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u10489), _u10490)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10489, _u10488), _u10491), _u10490) = c_Groups_Oone__class_Oone(_u10488)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_setprod_Oinfinite ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_setprod_Oinfinite-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10492) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u10493), _u10494)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10493, _u10492), _u10495), _u10494) = c_Groups_Oone__class_Oone(_u10492)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_setprod__eq__1__iff ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_setprod__eq__1__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10498), _u10499)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10498, tc_Nat_Onat), _u10500), _u10499) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u10498), _u10496), _u10499)) | ( hAPP(_u10500, _u10496) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 39.89/40.07 cnf(fact_setprod__eq__1__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10498), _u10499)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10498, tc_Nat_Onat), _u10500), _u10499) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u10498), skolem204(_u10500, _u10499, _u10498)), _u10499)) )).
% 39.89/40.07 cnf(fact_setprod__eq__1__iff-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10498), _u10499)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10498, tc_Nat_Onat), _u10500), _u10499) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(_u10500, skolem204(_u10500, _u10499, _u10498)) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_transfer__nat__int__numerals_I1_J ( axiom ) converted to clauses:
% 39.89/40.07 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))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_nat__0 ( axiom ) converted to clauses:
% 39.89/40.07 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)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_ex__nat ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_ex__nat-1, axiom, ( ~hBOOL(hAPP(_u10506, _u10501)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem205(_u10506))) )).
% 39.89/40.07 cnf(fact_ex__nat-2, axiom, ( ~hBOOL(hAPP(_u10506, _u10501)) | hBOOL(hAPP(_u10506, hAPP(c_Int_Onat, skolem205(_u10506)))) )).
% 39.89/40.07 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)), _u10503)) | ~hBOOL(hAPP(_u10507, hAPP(c_Int_Onat, _u10503))) | hBOOL(hAPP(_u10507, skolem206(_u10507))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_all__nat ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_all__nat-1, axiom, ( ~hBOOL(hAPP(_u10513, skolem207(_u10513))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10509)) | hBOOL(hAPP(_u10513, hAPP(c_Int_Onat, _u10509))) )).
% 39.89/40.07 cnf(fact_all__nat-2, axiom, ( hBOOL(hAPP(_u10514, _u10511)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem208(_u10514))) )).
% 39.89/40.07 cnf(fact_all__nat-3, axiom, ( hBOOL(hAPP(_u10514, _u10511)) | ~hBOOL(hAPP(_u10514, hAPP(c_Int_Onat, skolem208(_u10514)))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_transfer__nat__int__relations_I1_J ( axiom ) converted to clauses:
% 39.89/40.07 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)), _u10515)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10516)) | ( hAPP(c_Int_Onat, _u10515) != hAPP(c_Int_Onat, _u10516)) | ( _u10515 = _u10516) )).
% 39.89/40.07 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)), _u10515)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10516)) | ( _u10515 != _u10516) | ( hAPP(c_Int_Onat, _u10515) = hAPP(c_Int_Onat, _u10516)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_eq__nat__nat__iff ( axiom ) converted to clauses:
% 39.89/40.07 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)), _u10517)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10518)) | ( hAPP(c_Int_Onat, _u10517) != hAPP(c_Int_Onat, _u10518)) | ( _u10517 = _u10518) )).
% 39.89/40.07 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)), _u10517)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10518)) | ( _u10517 != _u10518) | ( hAPP(c_Int_Onat, _u10517) = hAPP(c_Int_Onat, _u10518)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_bin__less__0__simps_I4_J ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_bin__less__0__simps_I4_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u10520)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10520), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.89/40.07 cnf(fact_bin__less__0__simps_I4_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10521), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u10521)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_transfer__nat__int__numerals_I2_J ( axiom ) converted to clauses:
% 39.89/40.07 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))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_Bit1__def ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_Bit1__def-1, axiom, ( ( c_Int_OBit1(_u10522) = 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)), _u10522)), _u10522)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_setprod_Odistrib ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_setprod_Odistrib-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10523) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10524), _u10525)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10524, _u10523), hAPP(hAPP(c_COMBS(_u10524, _u10523, _u10523), hAPP(hAPP(c_COMBB(_u10523, tc_fun(_u10523, _u10523), _u10524), c_Groups_Otimes__class_Otimes(_u10523)), _u10526)), _u10527)), _u10525) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10523), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10524, _u10523), _u10526), _u10525)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10524, _u10523), _u10527), _u10525))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_Nat__Transfer_Otransfer__nat__int__set__functions_I4_J ( axiom ) converted to clauses:
% 39.89/40.07 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)), _u10528), _u10529) = 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)), _u10528)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10529)))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_transfer__int__nat__set__return__embed ( axiom ) converted to clauses:
% 39.89/40.07 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)), _u10530)) = _u10530) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_setprod__pos__nat__iff ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_setprod__pos__nat__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10533), _u10534)) | ~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(_u10533, tc_Nat_Onat), _u10535), _u10534))) | ~hBOOL(hAPP(hAPP(c_member(_u10533), _u10531), _u10534)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u10535, _u10531))) )).
% 39.89/40.07 cnf(fact_setprod__pos__nat__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10533), _u10534)) | 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(_u10533, tc_Nat_Onat), _u10535), _u10534))) | hBOOL(hAPP(hAPP(c_member(_u10533), skolem209(_u10535, _u10534, _u10533)), _u10534)) )).
% 39.89/40.07 cnf(fact_setprod__pos__nat__iff-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10533), _u10534)) | 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(_u10533, tc_Nat_Onat), _u10535), _u10534))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u10535, skolem209(_u10535, _u10534, _u10533)))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_greaterThanAtMost__empty ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_greaterThanAtMost__empty-1, axiom, ( ~class_Orderings_Oorder(_u10536) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10536), _u10537), _u10538)) | ( c_SetInterval_Oord__class_OgreaterThanAtMost(_u10536, _u10538, _u10537) = c_Orderings_Obot__class_Obot(tc_fun(_u10536, tc_HOL_Obool))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_setprod__reindex ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_setprod__reindex-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10539) | ~c_Fun_Oinj__on(_u10540, _u10541, _u10542, _u10543) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10541, _u10539), _u10544), hAPP(c_Set_Oimage(_u10540, _u10541, _u10542), _u10543)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10540, _u10539), hAPP(c_Fun_Ocomp(_u10541, _u10539, _u10540, _u10544), _u10542)), _u10543)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_setprod__reindex__cong ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_setprod__reindex__cong-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10545) | ~c_Fun_Oinj__on(_u10546, _u10547, _u10548, _u10549) | ( _u10550 != hAPP(c_Set_Oimage(_u10546, _u10547, _u10548), _u10549)) | ( _u10551 != hAPP(c_Fun_Ocomp(_u10547, _u10545, _u10546, _u10552), _u10548)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10547, _u10545), _u10552), _u10550) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10546, _u10545), _u10551), _u10549)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_greaterThanAtMost__empty__iff2 ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_greaterThanAtMost__empty__iff2-1, axiom, ( ~class_Orderings_Oorder(_u10553) | ( c_Orderings_Obot__class_Obot(tc_fun(_u10553, tc_HOL_Obool)) != c_SetInterval_Oord__class_OgreaterThanAtMost(_u10553, _u10554, _u10555)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10553), _u10554), _u10555)) )).
% 39.89/40.07 cnf(fact_greaterThanAtMost__empty__iff2-2, axiom, ( ~class_Orderings_Oorder(_u10553) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10553), _u10554), _u10555)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u10553, tc_HOL_Obool)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u10553, _u10554, _u10555)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_greaterThanAtMost__empty__iff ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_greaterThanAtMost__empty__iff-1, axiom, ( ~class_Orderings_Oorder(_u10556) | ( c_SetInterval_Oord__class_OgreaterThanAtMost(_u10556, _u10557, _u10558) != c_Orderings_Obot__class_Obot(tc_fun(_u10556, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10556), _u10557), _u10558)) )).
% 39.89/40.07 cnf(fact_greaterThanAtMost__empty__iff-2, axiom, ( ~class_Orderings_Oorder(_u10556) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10556), _u10557), _u10558)) | ( c_SetInterval_Oord__class_OgreaterThanAtMost(_u10556, _u10557, _u10558) = c_Orderings_Obot__class_Obot(tc_fun(_u10556, tc_HOL_Obool))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_ivl__disj__un_I20_J ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_ivl__disj__un_I20_J-1, axiom, ( ~class_Orderings_Olinorder(_u10559) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10559), _u10560), _u10561)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10559), _u10561), _u10562)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10559, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10559, _u10560, _u10561)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10559, _u10561, _u10562)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u10559, _u10560, _u10562)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_Nat__Transfer_Otransfer__nat__int__set__functions_I2_J ( axiom ) converted to clauses:
% 39.89/40.07 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)))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_ivl__disj__int_I14_J ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_ivl__disj__int_I14_J-1, axiom, ( ~class_Orderings_Oorder(_u10563) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10563, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10563, _u10564, _u10565)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10563, _u10565, _u10566)) = c_Orderings_Obot__class_Obot(tc_fun(_u10563, tc_HOL_Obool))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_nat__le__0 ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_nat__le__0-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10567), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onat, _u10567) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_nat__0__iff ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_nat__0__iff-1, axiom, ( ( hAPP(c_Int_Onat, _u10569) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10569), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.89/40.07 cnf(fact_nat__0__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10570), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onat, _u10570) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_one__div__nat__number__of ( axiom ) converted to clauses:
% 39.89/40.07 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), _u10571)) = 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), _u10571)))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_zless__nat__conj ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_zless__nat__conj-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u10574)), hAPP(c_Int_Onat, _u10576))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10576)) )).
% 39.89/40.07 cnf(fact_zless__nat__conj-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u10574)), hAPP(c_Int_Onat, _u10576))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10574), _u10576)) )).
% 39.89/40.07 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)), _u10577)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10575), _u10577)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u10575)), hAPP(c_Int_Onat, _u10577))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_nat__mono__iff ( axiom ) converted to clauses:
% 39.89/40.07 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)), _u10578)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u10579)), hAPP(c_Int_Onat, _u10578))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10579), _u10578)) )).
% 39.89/40.07 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)), _u10578)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10579), _u10578)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u10579)), hAPP(c_Int_Onat, _u10578))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_number__of__Bit1 ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_number__of__Bit1-1, axiom, ( ~class_Int_Onumber__ring(_u10580) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10580), c_Int_OBit1(_u10581)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10580), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10580), c_Groups_Oone__class_Oone(_u10580)), hAPP(c_Int_Onumber__class_Onumber__of(_u10580), _u10581))), hAPP(c_Int_Onumber__class_Onumber__of(_u10580), _u10581))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_transfer__nat__int__relations_I3_J ( axiom ) converted to clauses:
% 39.89/40.07 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)), _u10582)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10583)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u10582)), hAPP(c_Int_Onat, _u10583))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10582), _u10583)) )).
% 39.89/40.07 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)), _u10582)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10583)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10582), _u10583)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u10582)), hAPP(c_Int_Onat, _u10583))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_nat__1 ( axiom ) converted to clauses:
% 39.89/40.07 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))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_setprod__delta_H ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_setprod__delta_H-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10584) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10585), _u10586)) | ~hBOOL(hAPP(hAPP(c_member(_u10585), _u10587), _u10586)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10585, _u10584), hAPP(hAPP(c_COMBC(_u10585, _u10584, _u10584), hAPP(hAPP(c_COMBS(_u10585, _u10584, tc_fun(_u10584, _u10584)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10584, tc_fun(_u10584, _u10584)), _u10585), c_If(_u10584)), hAPP(c_fequal, _u10587))), _u10588)), c_Groups_Oone__class_Oone(_u10584))), _u10586) = hAPP(_u10588, _u10587)) )).
% 39.89/40.07 cnf(fact_setprod__delta_H-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10584) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10585), _u10586)) | hBOOL(hAPP(hAPP(c_member(_u10585), _u10587), _u10586)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10585, _u10584), hAPP(hAPP(c_COMBC(_u10585, _u10584, _u10584), hAPP(hAPP(c_COMBS(_u10585, _u10584, tc_fun(_u10584, _u10584)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10584, tc_fun(_u10584, _u10584)), _u10585), c_If(_u10584)), hAPP(c_fequal, _u10587))), _u10588)), c_Groups_Oone__class_Oone(_u10584))), _u10586) = c_Groups_Oone__class_Oone(_u10584)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_setprod__delta ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_setprod__delta-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10589) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10590), _u10591)) | ~hBOOL(hAPP(hAPP(c_member(_u10590), _u10592), _u10591)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10590, _u10589), hAPP(hAPP(c_COMBC(_u10590, _u10589, _u10589), hAPP(hAPP(c_COMBS(_u10590, _u10589, tc_fun(_u10589, _u10589)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10589, tc_fun(_u10589, _u10589)), _u10590), c_If(_u10589)), hAPP(hAPP(c_COMBC(_u10590, _u10590, tc_HOL_Obool), c_fequal), _u10592))), _u10593)), c_Groups_Oone__class_Oone(_u10589))), _u10591) = hAPP(_u10593, _u10592)) )).
% 39.89/40.07 cnf(fact_setprod__delta-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10589) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10590), _u10591)) | hBOOL(hAPP(hAPP(c_member(_u10590), _u10592), _u10591)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10590, _u10589), hAPP(hAPP(c_COMBC(_u10590, _u10589, _u10589), hAPP(hAPP(c_COMBS(_u10590, _u10589, tc_fun(_u10589, _u10589)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10589, tc_fun(_u10589, _u10589)), _u10590), c_If(_u10589)), hAPP(hAPP(c_COMBC(_u10590, _u10590, tc_HOL_Obool), c_fequal), _u10592))), _u10593)), c_Groups_Oone__class_Oone(_u10589))), _u10591) = c_Groups_Oone__class_Oone(_u10589)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_nat__0__le ( axiom ) converted to clauses:
% 39.89/40.07 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)), _u10594)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u10594)) = _u10594) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_int__eq__iff ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_int__eq__iff-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10597) != _u10599) | ( _u10597 = hAPP(c_Int_Onat, _u10599)) )).
% 39.89/40.07 cnf(fact_int__eq__iff-2, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10597) != _u10599) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10599)) )).
% 39.89/40.07 cnf(fact_int__eq__iff-3, axiom, ( ( _u10598 != hAPP(c_Int_Onat, _u10600)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10600)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10598) = _u10600) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_int__nat__eq ( axiom ) converted to clauses:
% 39.89/40.07 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)), _u10602)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u10602)) = _u10602) )).
% 39.89/40.07 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)), _u10603)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u10603)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_zless__nat__eq__int__zless ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_zless__nat__eq__int__zless-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10606), hAPP(c_Int_Onat, _u10608))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10606)), _u10608)) )).
% 39.89/40.07 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), _u10607)), _u10609)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10607), hAPP(c_Int_Onat, _u10609))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_nat__zminus__int ( axiom ) converted to clauses:
% 39.89/40.07 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), _u10610))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_power__number__of__odd ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_power__number__of__odd-1, axiom, ( ~class_Int_Onumber__ring(_u10611) | ~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), _u10612))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10611), _u10613), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u10612))) = hAPP(hAPP(c_HOL_OLet(_u10611, _u10611), hAPP(hAPP(c_Power_Opower__class_Opower(_u10611), _u10613), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10612))), hAPP(hAPP(c_COMBS(_u10611, _u10611, _u10611), hAPP(hAPP(c_COMBB(_u10611, tc_fun(_u10611, _u10611), _u10611), c_Groups_Otimes__class_Otimes(_u10611)), hAPP(c_Groups_Otimes__class_Otimes(_u10611), _u10613))), c_COMBI(_u10611)))) )).
% 39.89/40.07 cnf(fact_power__number__of__odd-2, axiom, ( ~class_Int_Onumber__ring(_u10611) | 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), _u10612))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10611), _u10613), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u10612))) = c_Groups_Oone__class_Oone(_u10611)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_card__greaterThanAtMost ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_card__greaterThanAtMost-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u10614, _u10615)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10615), _u10614)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_setprod__constant ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_setprod__constant-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10616) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10617), _u10618)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10617, _u10616), hAPP(c_COMBK(_u10616, _u10617), _u10619)), _u10618) = hAPP(hAPP(c_Power_Opower__class_Opower(_u10616), _u10619), hAPP(c_Finite__Set_Ocard(_u10617), _u10618))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_zpower__number__of__odd ( axiom ) converted to clauses:
% 39.89/40.07 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), _u10622))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u10624), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u10622))) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u10624), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10622))), 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), _u10624))), c_COMBI(tc_Int_Oint)))) )).
% 39.89/40.07 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), _u10623))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u10625), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u10623))) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_setprod_Oinsert ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_setprod_Oinsert-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10626) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10627), _u10628)) | hBOOL(hAPP(hAPP(c_member(_u10627), _u10629), _u10628)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10627, _u10626), _u10630), hAPP(hAPP(c_Set_Oinsert(_u10627), _u10629), _u10628)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10626), hAPP(_u10630, _u10629)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10627, _u10626), _u10630), _u10628))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_setprod__insert ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_setprod__insert-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10631) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10632), _u10633)) | hBOOL(hAPP(hAPP(c_member(_u10632), _u10634), _u10633)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10632, _u10631), _u10635), hAPP(hAPP(c_Set_Oinsert(_u10632), _u10634), _u10633)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10631), hAPP(_u10635, _u10634)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10632, _u10631), _u10635), _u10633))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_setprod_Ounion__inter ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_setprod_Ounion__inter-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10636) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10637), _u10638)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10637), _u10639)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10636), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10637, _u10636), _u10640), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10637, tc_HOL_Obool)), _u10638), _u10639))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10637, _u10636), _u10640), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10637, tc_HOL_Obool)), _u10638), _u10639))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10636), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10637, _u10636), _u10640), _u10638)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10637, _u10636), _u10640), _u10639))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_setprod__Un__Int ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_setprod__Un__Int-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10641) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10642), _u10643)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10642), _u10644)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10641), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10642, _u10641), _u10645), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10642, tc_HOL_Obool)), _u10643), _u10644))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10642, _u10641), _u10645), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10642, tc_HOL_Obool)), _u10643), _u10644))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10641), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10642, _u10641), _u10645), _u10643)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10642, _u10641), _u10645), _u10644))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_setprod_Oreindex ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_setprod_Oreindex-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10646) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10647), _u10648)) | ~c_Fun_Oinj__on(_u10647, _u10647, _u10649, _u10648) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10647, _u10646), _u10650), hAPP(c_Set_Oimage(_u10647, _u10647, _u10649), _u10648)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10647, _u10646), hAPP(c_Fun_Ocomp(_u10647, _u10646, _u10647, _u10650), _u10649)), _u10648)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_transfer__nat__int__sum__prod_I1_J ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_transfer__nat__int__sum__prod_I1_J-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u10651) | ~class_Groups_Ocomm__monoid__mult(_u10651) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10651), _u10652), _u10653) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u10651), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u10651, tc_Int_Oint), _u10652), c_Int_Onat)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10653))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_setprod_OF__eq ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_setprod_OF__eq-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10654) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10655), _u10656)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10655, _u10654), _u10657), _u10656) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u10654, _u10655, c_Groups_Otimes__class_Otimes(_u10654)), _u10657), c_Groups_Oone__class_Oone(_u10654)), _u10656)) )).
% 39.89/40.07 cnf(fact_setprod_OF__eq-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10654) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u10655), _u10656)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10655, _u10654), _u10657), _u10656) = c_Groups_Oone__class_Oone(_u10654)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_setprod_Oeq__fold ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_setprod_Oeq__fold-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10658) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10659), _u10660)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10659, _u10658), _u10661), _u10660) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u10658, _u10659, c_Groups_Otimes__class_Otimes(_u10658)), _u10661), c_Groups_Oone__class_Oone(_u10658)), _u10660)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_card__atLeastZeroLessThan__int ( axiom ) converted to clauses:
% 39.89/40.07 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)), _u10662)) = hAPP(c_Int_Onat, _u10662)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_card__atLeastLessThan__int ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_card__atLeastLessThan__int-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u10663), _u10664)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10664), _u10663))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_zero__less__nat__eq ( axiom ) converted to clauses:
% 39.89/40.07 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, _u10666))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10666)) )).
% 39.89/40.07 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)), _u10667)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Int_Onat, _u10667))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_transfer__nat__int__relations_I2_J ( axiom ) converted to clauses:
% 39.89/40.07 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)), _u10668)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10669)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u10668)), hAPP(c_Int_Onat, _u10669))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10668), _u10669)) )).
% 39.89/40.07 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)), _u10668)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10669)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10668), _u10669)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u10668)), hAPP(c_Int_Onat, _u10669))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_nat__less__eq__zless ( axiom ) converted to clauses:
% 39.89/40.07 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)), _u10670)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u10670)), hAPP(c_Int_Onat, _u10671))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10670), _u10671)) )).
% 39.89/40.07 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)), _u10670)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10670), _u10671)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u10670)), hAPP(c_Int_Onat, _u10671))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_nat__eq__iff2 ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_nat__eq__iff2-1, axiom, ( ( _u10674 != hAPP(c_Int_Onat, _u10676)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10676)) | ( _u10676 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10674)) )).
% 39.89/40.07 cnf(fact_nat__eq__iff2-2, axiom, ( ( _u10674 != hAPP(c_Int_Onat, _u10676)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10676)) | ( _u10674 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.07 cnf(fact_nat__eq__iff2-3, axiom, ( ( _u10675 = hAPP(c_Int_Onat, _u10677)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10677)) | ( _u10675 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.07 cnf(fact_nat__eq__iff2-4, axiom, ( ( _u10675 = hAPP(c_Int_Onat, _u10677)) | ( _u10677 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10675)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10677)) )).
% 39.89/40.07 cnf(fact_nat__eq__iff2-5, axiom, ( ( _u10675 = hAPP(c_Int_Onat, _u10677)) | ( _u10677 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10675)) | ( _u10675 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_nat__eq__iff ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_nat__eq__iff-1, axiom, ( ( hAPP(c_Int_Onat, _u10680) != _u10682) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10680)) | ( _u10680 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10682)) )).
% 39.89/40.07 cnf(fact_nat__eq__iff-2, axiom, ( ( hAPP(c_Int_Onat, _u10680) != _u10682) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10680)) | ( _u10682 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.07 cnf(fact_nat__eq__iff-3, axiom, ( ( hAPP(c_Int_Onat, _u10681) = _u10683) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10681)) | ( _u10683 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.07 cnf(fact_nat__eq__iff-4, axiom, ( ( hAPP(c_Int_Onat, _u10681) = _u10683) | ( _u10681 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10683)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10681)) )).
% 39.89/40.07 cnf(fact_nat__eq__iff-5, axiom, ( ( hAPP(c_Int_Onat, _u10681) = _u10683) | ( _u10681 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10683)) | ( _u10683 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_nat__le__eq__zle ( axiom ) converted to clauses:
% 39.89/40.07 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)), _u10684)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u10684)), hAPP(c_Int_Onat, _u10685))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10684), _u10685)) )).
% 39.89/40.07 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)), _u10684)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10684), _u10685)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u10684)), hAPP(c_Int_Onat, _u10685))) )).
% 39.89/40.07 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)), _u10685)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u10684)), hAPP(c_Int_Onat, _u10685))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10684), _u10685)) )).
% 39.89/40.07 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)), _u10685)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10684), _u10685)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u10684)), hAPP(c_Int_Onat, _u10685))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_split__nat ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_split__nat-1, axiom, ( ~hBOOL(hAPP(_u10690, hAPP(c_Int_Onat, _u10692))) | ( _u10692 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10686)) | hBOOL(hAPP(_u10690, _u10686)) )).
% 39.89/40.07 cnf(fact_split__nat-2, axiom, ( ~hBOOL(hAPP(_u10690, hAPP(c_Int_Onat, _u10692))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10692), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(_u10690, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 39.89/40.07 cnf(fact_split__nat-3, axiom, ( hBOOL(hAPP(_u10691, hAPP(c_Int_Onat, _u10693))) | ( _u10693 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem210(_u10693, _u10691))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10693), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.89/40.07 cnf(fact_split__nat-4, axiom, ( hBOOL(hAPP(_u10691, hAPP(c_Int_Onat, _u10693))) | ( _u10693 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem210(_u10693, _u10691))) | ~hBOOL(hAPP(_u10691, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 39.89/40.07 cnf(fact_split__nat-5, axiom, ( hBOOL(hAPP(_u10691, hAPP(c_Int_Onat, _u10693))) | ~hBOOL(hAPP(_u10691, skolem210(_u10693, _u10691))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10693), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.89/40.07 cnf(fact_split__nat-6, axiom, ( hBOOL(hAPP(_u10691, hAPP(c_Int_Onat, _u10693))) | ~hBOOL(hAPP(_u10691, skolem210(_u10693, _u10691))) | ~hBOOL(hAPP(_u10691, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_Nat__Transfer_Otransfer__nat__int__functions_I1_J ( axiom ) converted to clauses:
% 39.89/40.07 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)), _u10694)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10695)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onat, _u10694)), hAPP(c_Int_Onat, _u10695)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10694), _u10695))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_nat__add__distrib ( axiom ) converted to clauses:
% 39.89/40.07 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)), _u10696)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10697)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10696), _u10697)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onat, _u10696)), hAPP(c_Int_Onat, _u10697))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_int__eq__iff__number__of ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_int__eq__iff__number__of-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10700) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10702)) | ( _u10700 = hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10702))) )).
% 39.89/40.07 cnf(fact_int__eq__iff__number__of-2, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10700) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10702)) | 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), _u10702))) )).
% 39.89/40.07 cnf(fact_int__eq__iff__number__of-3, axiom, ( ( _u10701 != hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10703))) | ~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), _u10703))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10701) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10703)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_Nat__Transfer_Otransfer__nat__int__functions_I2_J ( axiom ) converted to clauses:
% 39.89/40.07 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)), _u10704)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10705)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, _u10704)), hAPP(c_Int_Onat, _u10705)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10704), _u10705))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_nat__mult__distrib ( axiom ) converted to clauses:
% 39.89/40.07 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)), _u10706)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10706), _u10707)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, _u10706)), hAPP(c_Int_Onat, _u10707))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_Nat__Transfer_Otransfer__nat__int__set__functions_I3_J ( axiom ) converted to clauses:
% 39.89/40.07 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)), _u10708), _u10709) = 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)), _u10708)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10709)))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_nat__diff__distrib ( axiom ) converted to clauses:
% 39.89/40.07 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)), _u10710)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10710), _u10711)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10711), _u10710)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u10711)), hAPP(c_Int_Onat, _u10710))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_transfer__nat__int__sum__prod2_I1_J ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_transfer__nat__int__sum__prod2_I1_J-1, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10712, tc_Nat_Onat), _u10713), _u10714) = hAPP(c_Int_Onat, hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10712, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u10712), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10713)), _u10714))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_Divides_Otransfer__nat__int__functions_I2_J ( axiom ) converted to clauses:
% 39.89/40.07 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)), _u10715)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10716)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onat, _u10715), hAPP(c_Int_Onat, _u10716)) = hAPP(c_Int_Onat, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10715, _u10716))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_nat__mod__distrib ( axiom ) converted to clauses:
% 39.89/40.07 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)), _u10717)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10718)) | ( hAPP(c_Int_Onat, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10717, _u10718)) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onat, _u10717), hAPP(c_Int_Onat, _u10718))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_Divides_Otransfer__nat__int__functions_I1_J ( axiom ) converted to clauses:
% 39.89/40.07 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)), _u10719)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10720)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onat, _u10719)), hAPP(c_Int_Onat, _u10720)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10719), _u10720))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_nat__div__distrib ( axiom ) converted to clauses:
% 39.89/40.07 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)), _u10721)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10721), _u10722)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onat, _u10721)), hAPP(c_Int_Onat, _u10722))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_Int__greaterThanAtMost ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_Int__greaterThanAtMost-1, axiom, ( ~class_Orderings_Olinorder(_u10723) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10723, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10723, _u10724, _u10725)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10723, _u10726, _u10727)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u10723, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10723), _u10724), _u10726), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10723), _u10725), _u10727))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_image__uminus__atLeastLessThan ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_image__uminus__atLeastLessThan-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u10728) | ( hAPP(c_Set_Oimage(_u10728, _u10728, c_Groups_Ouminus__class_Ouminus(_u10728)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10728, _u10729), _u10730)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u10728, hAPP(c_Groups_Ouminus__class_Ouminus(_u10728), _u10730), hAPP(c_Groups_Ouminus__class_Ouminus(_u10728), _u10729))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_image__uminus__greaterThanAtMost ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_image__uminus__greaterThanAtMost-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u10731) | ( hAPP(c_Set_Oimage(_u10731, _u10731, c_Groups_Ouminus__class_Ouminus(_u10731)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10731, _u10732, _u10733)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10731, hAPP(c_Groups_Ouminus__class_Ouminus(_u10731), _u10733)), hAPP(c_Groups_Ouminus__class_Ouminus(_u10731), _u10732))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_Nat__Transfer_Otransfer__nat__int__functions_I4_J ( axiom ) converted to clauses:
% 39.89/40.07 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)), _u10734)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onat, _u10734)), _u10735) = hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u10734), _u10735))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_nat__power__eq ( axiom ) converted to clauses:
% 39.89/40.07 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)), _u10736)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u10736), _u10737)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onat, _u10736)), _u10737)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_ivl__disj__int_I10_J ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_ivl__disj__int_I10_J-1, axiom, ( ~class_Orderings_Oorder(_u10738) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10738, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10738, _u10739, _u10740)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10738, _u10740, _u10741)) = c_Orderings_Obot__class_Obot(tc_fun(_u10738, tc_HOL_Obool))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_Nat__Transfer_Otransfer__nat__int__functions_I3_J ( axiom ) converted to clauses:
% 39.89/40.07 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)), _u10742)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10743)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u10742)), hAPP(c_Int_Onat, _u10743)) = hAPP(c_Int_Onat, c_Nat__Transfer_Otsub(_u10742, _u10743))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_setprod_Oinsert__remove ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_setprod_Oinsert__remove-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10744) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10745), _u10746)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10745, _u10744), _u10747), hAPP(hAPP(c_Set_Oinsert(_u10745), _u10748), _u10746)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10744), hAPP(_u10747, _u10748)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10745, _u10744), _u10747), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10745, tc_HOL_Obool)), _u10746), hAPP(hAPP(c_Set_Oinsert(_u10745), _u10748), c_Orderings_Obot__class_Obot(tc_fun(_u10745, tc_HOL_Obool))))))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_setprod_Ounion__disjoint ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_setprod_Ounion__disjoint-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10749) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10750), _u10751)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10750), _u10752)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10750, tc_HOL_Obool)), _u10751), _u10752) != c_Orderings_Obot__class_Obot(tc_fun(_u10750, tc_HOL_Obool))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10750, _u10749), _u10753), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10750, tc_HOL_Obool)), _u10751), _u10752)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10749), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10750, _u10749), _u10753), _u10751)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10750, _u10749), _u10753), _u10752))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_setprod__Un__disjoint ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_setprod__Un__disjoint-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10754) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10755), _u10756)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10755), _u10757)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10755, tc_HOL_Obool)), _u10756), _u10757) != c_Orderings_Obot__class_Obot(tc_fun(_u10755, tc_HOL_Obool))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10755, _u10754), _u10758), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10755, tc_HOL_Obool)), _u10756), _u10757)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10754), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10755, _u10754), _u10758), _u10756)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10755, _u10754), _u10758), _u10757))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_one__less__nat__eq ( axiom ) converted to clauses:
% 39.89/40.07 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, _u10760))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u10760)) )).
% 39.89/40.07 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)), _u10761)) | 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, _u10761))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_nat__less__iff ( axiom ) converted to clauses:
% 39.89/40.07 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)), _u10762)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u10762)), _u10763)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10762), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10763))) )).
% 39.89/40.07 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)), _u10762)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10762), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10763))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u10762)), _u10763)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_Suc__nat__eq__nat__zadd1 ( axiom ) converted to clauses:
% 39.89/40.07 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)), _u10764)) | ( hAPP(c_Nat_OSuc, hAPP(c_Int_Onat, _u10764)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u10764))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_nat__mult__distrib__neg ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_nat__mult__distrib__neg-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10765), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10765), _u10766)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10765))), hAPP(c_Int_Onat, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10766)))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_Nat__Transfer_Otransfer__nat__int__set__functions_I5_J ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I5_J-1, axiom, ( ( hAPP(c_Set_OCollect(tc_Nat_Onat), _u10767) = 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), _u10767), c_Int_Onat))))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_expand__Suc ( axiom ) converted to clauses:
% 39.89/40.07 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), _u10768))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10768) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10768)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_setprod_Oremove ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_setprod_Oremove-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10769) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10770), _u10771)) | ~hBOOL(hAPP(hAPP(c_member(_u10770), _u10772), _u10771)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10770, _u10769), _u10773), _u10771) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10769), hAPP(_u10773, _u10772)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10770, _u10769), _u10773), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10770, tc_HOL_Obool)), _u10771), hAPP(hAPP(c_Set_Oinsert(_u10770), _u10772), c_Orderings_Obot__class_Obot(tc_fun(_u10770, tc_HOL_Obool))))))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_ivl__disj__un_I16_J ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_ivl__disj__un_I16_J-1, axiom, ( ~class_Orderings_Olinorder(_u10774) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10774), _u10775), _u10776)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10774), _u10776), _u10777)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10774, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10774, _u10775, _u10776)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10774, _u10776, _u10777)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u10774, _u10775, _u10777)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_card__greaterThanLessThan__int ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_card__greaterThanLessThan__int-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u10778, _u10779)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10779), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10778), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_nat__aux__def ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_nat__aux__def-1, axiom, ( ( c_Int_Onat__aux(_u10780, _u10781) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onat, _u10780)), _u10781)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_transfer__morphism__nat__int ( axiom ) converted to clauses:
% 39.89/40.07 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))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_one__mod__nat__number__of ( axiom ) converted to clauses:
% 39.89/40.07 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), _u10783))) | ( 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), _u10783)) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 39.89/40.07 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), _u10784))) | ( 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), _u10784)) = 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), _u10784)))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_nat__def ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_nat__def-1, axiom, ( ( hAPP(c_Int_Onat, _u10785) = 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, _u10785)), 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))))))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_not__neg__0 ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_not__neg__0-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_Rep__Integ__inject ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_Rep__Integ__inject-1, axiom, ( ( hAPP(c_Int_ORep__Integ, _u10788) != hAPP(c_Int_ORep__Integ, _u10790)) | ( _u10788 = _u10790) )).
% 39.89/40.07 cnf(fact_Rep__Integ__inject-2, axiom, ( ( _u10789 != _u10791) | ( hAPP(c_Int_ORep__Integ, _u10789) = hAPP(c_Int_ORep__Integ, _u10791)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_not__neg__1 ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_not__neg__1-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_not__neg__int ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_not__neg__int-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10792))) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_not__neg__eq__ge__0 ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_not__neg__eq__ge__0-1, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, _u10794)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10794)) )).
% 39.89/40.07 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)), _u10795)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u10795)) )).
% 39.89/40.07
% 39.89/40.07 % Formula: fact_neg__def ( axiom ) converted to clauses:
% 39.89/40.07 cnf(fact_neg__def-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u10797)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10797), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.89/40.07 cnf(fact_neg__def-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10798), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, _u10798)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_neg__nat ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_neg__nat-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u10799)) | ( hAPP(c_Int_Onat, _u10799) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_neg__number__of__Bit1 ( axiom ) converted to clauses:
% 39.89/40.08 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(_u10801)))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10801))) )).
% 39.89/40.08 cnf(fact_neg__number__of__Bit1-2, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10802))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u10802)))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_not__neg__nat ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_not__neg__nat-1, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, _u10803)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u10803)) = _u10803) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_neg__imp__number__of__eq__0 ( axiom ) converted to clauses:
% 39.89/40.08 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), _u10804))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10804) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_neg__zminus__int ( axiom ) converted to clauses:
% 39.89/40.08 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, _u10805))))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_eq__nat__number__of ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_eq__nat__number__of-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10808) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10810)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10808))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10810)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.89/40.08 cnf(fact_eq__nat__number__of-2, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10808) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10810)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10808))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10810))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10808) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 39.89/40.08 cnf(fact_eq__nat__number__of-3, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10808) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10810)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10808))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10810))) | ( _u10808 = _u10810) )).
% 39.89/40.08 cnf(fact_eq__nat__number__of-4, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10809) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10811)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10809))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10811))) | ( _u10809 != _u10811) )).
% 39.89/40.08 cnf(fact_eq__nat__number__of-5, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10809) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10811)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10809))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10809) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10811))) )).
% 39.89/40.08 cnf(fact_eq__nat__number__of-6, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10809) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10811)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10809))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10809) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u10809 != _u10811) )).
% 39.89/40.08 cnf(fact_eq__nat__number__of-7, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10809) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10811)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10811)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10809))) )).
% 39.89/40.08 cnf(fact_eq__nat__number__of-8, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10809) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10811)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10811)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10811))) | ( _u10809 != _u10811) )).
% 39.89/40.08 cnf(fact_eq__nat__number__of-9, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10809) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10811)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10811)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10809) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10811))) )).
% 39.89/40.08 cnf(fact_eq__nat__number__of-10, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10809) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10811)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10811)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10809) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u10809 != _u10811) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_nat__number__of__add__left ( axiom ) converted to clauses:
% 39.89/40.08 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), _u10815))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10815)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10817)), _u10819)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10817)), _u10819)) )).
% 39.89/40.08 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), _u10816))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10818))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10816)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10818)), _u10820)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10816)), _u10820)) )).
% 39.89/40.08 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), _u10816))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10818))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10816)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10818)), _u10820)) = 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), _u10816), _u10818))), _u10820)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_int__nat__number__of ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_int__nat__number__of-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10822))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10822)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 39.89/40.08 cnf(fact_int__nat__number__of-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10823))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10823)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10823)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_diff__nat__eq__if ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_diff__nat__eq__if-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u10826)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u10828)), hAPP(c_Int_Onat, _u10826)) = hAPP(c_Int_Onat, _u10828)) )).
% 39.89/40.08 cnf(fact_diff__nat__eq__if-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, _u10827)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u10829)), hAPP(c_Int_Onat, _u10827)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10829), _u10827)), 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))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_of__nat__number__of__eq ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_of__nat__number__of__eq-1, axiom, ( ~class_Int_Onumber__ring(_u10830) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10831))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10830), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10831)) = c_Groups_Ozero__class_Ozero(_u10830)) )).
% 39.89/40.08 cnf(fact_of__nat__number__of__eq-2, axiom, ( ~class_Int_Onumber__ring(_u10830) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10831))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10830), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10831)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10830), _u10831)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_mod__nat__number__of ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_mod__nat__number__of-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10834))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10834), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10836)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.08 cnf(fact_mod__nat__number__of-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10835))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10837))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10835), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10837)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10835)) )).
% 39.89/40.08 cnf(fact_mod__nat__number__of-3, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10835))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10837))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10835), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10837)) = hAPP(c_Int_Onat, c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10835), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10837)))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_div__nat__number__of ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_div__nat__number__of-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10840))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10840)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10842)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.08 cnf(fact_div__nat__number__of-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10841))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10841)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10843)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10841)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10843)))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_nat__number__of__Bit1 ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_nat__number__of__Bit1-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10845))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u10845)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.08 cnf(fact_nat__number__of__Bit1-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10846))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u10846)) = hAPP(hAPP(c_HOL_OLet(tc_Nat_Onat, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10846)), 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))))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_power__nat__number__of ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_power__nat__number__of-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10849))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10849)), _u10851) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10851)) )).
% 39.89/40.08 cnf(fact_power__nat__number__of-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10850))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10850)), _u10852) = hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10850)), _u10852))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_power__nat__number__of__number__of ( axiom ) converted to clauses:
% 39.89/40.08 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), _u10855))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10855)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10857)) = 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), _u10857))) )).
% 39.89/40.08 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), _u10856))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10856)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10858)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10856)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10858)))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__functions_I4_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I4_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u10859) | ~c_Nat__Transfer_Onat__set(_u10860) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u10859), _u10860) = 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), _u10859)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10860)))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__functions_I3_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I3_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u10861) | ~c_Nat__Transfer_Onat__set(_u10862) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u10861), _u10862) = 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), _u10861)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10862)))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_Suc__nat__number__of__add ( axiom ) converted to clauses:
% 39.89/40.08 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), _u10865))) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10865)), _u10867)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u10867)) )).
% 39.89/40.08 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), _u10866))) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10866)), _u10868)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u10866))), _u10868)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_diff__nat__number__of ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_diff__nat__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10871), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10873)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10871)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10873)) )).
% 39.89/40.08 cnf(fact_diff__nat__number__of-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10872), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10874)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10872)) = 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), _u10874), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10872)))), 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))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_mult__Pls ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_mult__Pls-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OPls), _u10875) = c_Int_OPls) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_diff__bin__simps_I1_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_diff__bin__simps_I1_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10876), c_Int_OPls) = _u10876) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_minus__Pls ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_minus__Pls-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OPls) = c_Int_OPls) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_rel__simps_I2_J ( axiom ) converted to clauses:
% 39.89/40.08 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)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_rel__simps_I19_J ( axiom ) converted to clauses:
% 39.89/40.08 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)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_Pls__def ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_Pls__def-1, axiom, ( ( c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_add__Pls ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_add__Pls-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OPls), _u10877) = _u10877) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_add__Pls__right ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_add__Pls__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10878), c_Int_OPls) = _u10878) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_succ__Pls ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_succ__Pls-1, axiom, ( ( c_Int_Osucc(c_Int_OPls) = c_Int_OBit1(c_Int_OPls)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_rel__simps_I39_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_rel__simps_I39_J-1, axiom, ( ( c_Int_OPls != c_Int_OBit1(_u10879)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_rel__simps_I46_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_rel__simps_I46_J-1, axiom, ( ( c_Int_OBit1(_u10880) != c_Int_OPls) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_semiring__norm_I112_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_semiring__norm_I112_J-1, axiom, ( ~class_Int_Onumber__ring(_u10881) | ( c_Groups_Ozero__class_Ozero(_u10881) = hAPP(c_Int_Onumber__class_Onumber__of(_u10881), c_Int_OPls)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_number__of__Pls ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_number__of__Pls-1, axiom, ( ~class_Int_Onumber__ring(_u10882) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10882), c_Int_OPls) = c_Groups_Ozero__class_Ozero(_u10882)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_add__numeral__0__right ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_add__numeral__0__right-1, axiom, ( ~class_Int_Onumber__ring(_u10883) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10883), _u10884), hAPP(c_Int_Onumber__class_Onumber__of(_u10883), c_Int_OPls)) = _u10884) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_add__numeral__0 ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_add__numeral__0-1, axiom, ( ~class_Int_Onumber__ring(_u10885) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10885), hAPP(c_Int_Onumber__class_Onumber__of(_u10885), c_Int_OPls)), _u10886) = _u10886) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_bin__less__0__simps_I1_J ( axiom ) converted to clauses:
% 39.89/40.08 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))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_nat__number__of__Pls ( axiom ) converted to clauses:
% 39.89/40.08 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)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_semiring__norm_I113_J ( axiom ) converted to clauses:
% 39.89/40.08 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)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_zero__is__num__zero ( axiom ) converted to clauses:
% 39.89/40.08 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)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_rel__simps_I22_J ( axiom ) converted to clauses:
% 39.89/40.08 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(_u10888))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u10888)) )).
% 39.89/40.08 cnf(fact_rel__simps_I22_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u10889)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u10889))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_rel__simps_I12_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_rel__simps_I12_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u10891)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10891), c_Int_OPls)) )).
% 39.89/40.08 cnf(fact_rel__simps_I12_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10892), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u10892)), c_Int_OPls)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I1_J ( axiom ) converted to clauses:
% 39.89/40.08 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))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_not__neg__number__of__Pls ( axiom ) converted to clauses:
% 39.89/40.08 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))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I2_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I2_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u10893) | ~c_Nat__Transfer_Onat__set(_u10894) | c_Nat__Transfer_Onat__set(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u10893), _u10894)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I3_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I3_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u10895) | ~c_Nat__Transfer_Onat__set(_u10896) | c_Nat__Transfer_Onat__set(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u10895), _u10896)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_nat__1__add__number__of ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_nat__1__add__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10898), 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), _u10898)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 39.89/40.08 cnf(fact_nat__1__add__number__of-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10899), 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), _u10899)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u10899))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_nat__number__of__add__1 ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_nat__number__of__add__1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10901), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10901)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 39.89/40.08 cnf(fact_nat__number__of__add__1-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10902), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10902)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u10902))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_nat__set__def ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_nat__set__def-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u10906) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10903), _u10906)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10903)) )).
% 39.89/40.08 cnf(fact_nat__set__def-2, axiom, ( c_Nat__Transfer_Onat__set(_u10907) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem211(_u10907)), _u10907)) )).
% 39.89/40.08 cnf(fact_nat__set__def-3, axiom, ( c_Nat__Transfer_Onat__set(_u10907) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem211(_u10907))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I5_J ( axiom ) converted to clauses:
% 39.89/40.08 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)), _u10908)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_transfer__int__nat__set__relations_I3_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_transfer__int__nat__set__relations_I3_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u10909) | ~c_Nat__Transfer_Onat__set(_u10910) | ( _u10909 != _u10910) | ( hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10909) = hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10910)) )).
% 39.89/40.08 cnf(fact_transfer__int__nat__set__relations_I3_J-2, axiom, ( ~c_Nat__Transfer_Onat__set(_u10909) | ~c_Nat__Transfer_Onat__set(_u10910) | ( hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10909) != hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10910)) | ( _u10909 = _u10910) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_mult__numeral__1 ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_mult__numeral__1-1, axiom, ( ~class_Int_Onumber__ring(_u10911) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10911), hAPP(c_Int_Onumber__class_Onumber__of(_u10911), c_Int_OBit1(c_Int_OPls))), _u10912) = _u10912) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_mult__numeral__1__right ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_mult__numeral__1__right-1, axiom, ( ~class_Int_Onumber__ring(_u10913) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10913), _u10914), hAPP(c_Int_Onumber__class_Onumber__of(_u10913), c_Int_OBit1(c_Int_OPls))) = _u10914) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_semiring__norm_I110_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_semiring__norm_I110_J-1, axiom, ( ~class_Int_Onumber__ring(_u10915) | ( c_Groups_Oone__class_Oone(_u10915) = hAPP(c_Int_Onumber__class_Onumber__of(_u10915), c_Int_OBit1(c_Int_OPls))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_numeral__1__eq__1 ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_numeral__1__eq__1-1, axiom, ( ~class_Int_Onumber__ring(_u10916) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10916), c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(_u10916)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_eq__0__number__of ( axiom ) converted to clauses:
% 39.89/40.08 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), _u10918)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10918), c_Int_OPls)) )).
% 39.89/40.08 cnf(fact_eq__0__number__of-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10919), c_Int_OPls)) | ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10919)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_eq__number__of__0 ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_eq__number__of__0-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10921) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10921), c_Int_OPls)) )).
% 39.89/40.08 cnf(fact_eq__number__of__0-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10922), c_Int_OPls)) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10922) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_number__of2 ( axiom ) converted to clauses:
% 39.89/40.08 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))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_rel__simps_I5_J ( axiom ) converted to clauses:
% 39.89/40.08 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(_u10924))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u10924)) )).
% 39.89/40.08 cnf(fact_rel__simps_I5_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u10925)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u10925))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_rel__simps_I29_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_rel__simps_I29_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u10927)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10927), c_Int_OPls)) )).
% 39.89/40.08 cnf(fact_rel__simps_I29_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10928), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u10928)), c_Int_OPls)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_less__nat__number__of ( axiom ) converted to clauses:
% 39.89/40.08 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), _u10931)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10933))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10931), _u10933)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u10933)) )).
% 39.89/40.08 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), _u10931)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10933))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10931), _u10933)) )).
% 39.89/40.08 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), _u10932)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10934))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10932), _u10934)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u10934)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_le__nat__number__of ( axiom ) converted to clauses:
% 39.89/40.08 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), _u10937)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10939))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10937), _u10939)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10937), c_Int_OPls)) )).
% 39.89/40.08 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), _u10938)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10940))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10938), _u10940)) )).
% 39.89/40.08 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), _u10938)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10940))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10938), c_Int_OPls)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_one__is__num__one ( axiom ) converted to clauses:
% 39.89/40.08 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))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_nat__numeral__1__eq__1 ( axiom ) converted to clauses:
% 39.89/40.08 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)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_Numeral1__eq1__nat ( axiom ) converted to clauses:
% 39.89/40.08 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))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_succ__def ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_succ__def-1, axiom, ( ( c_Int_Osucc(_u10941) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10941), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_le__special_I1_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_le__special_I1_J-1, axiom, ( ~class_Int_Onumber__ring(_u10942) | ~class_Rings_Olinordered__idom(_u10942) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10942), c_Groups_Ozero__class_Ozero(_u10942)), hAPP(c_Int_Onumber__class_Onumber__of(_u10942), _u10943))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u10943)) )).
% 39.89/40.08 cnf(fact_le__special_I1_J-2, axiom, ( ~class_Int_Onumber__ring(_u10942) | ~class_Rings_Olinordered__idom(_u10942) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u10943)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10942), c_Groups_Ozero__class_Ozero(_u10942)), hAPP(c_Int_Onumber__class_Onumber__of(_u10942), _u10943))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_le__special_I3_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_le__special_I3_J-1, axiom, ( ~class_Int_Onumber__ring(_u10944) | ~class_Rings_Olinordered__idom(_u10944) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10944), hAPP(c_Int_Onumber__class_Onumber__of(_u10944), _u10945)), c_Groups_Ozero__class_Ozero(_u10944))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10945), c_Int_OPls)) )).
% 39.89/40.08 cnf(fact_le__special_I3_J-2, axiom, ( ~class_Int_Onumber__ring(_u10944) | ~class_Rings_Olinordered__idom(_u10944) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10945), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10944), hAPP(c_Int_Onumber__class_Onumber__of(_u10944), _u10945)), c_Groups_Ozero__class_Ozero(_u10944))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_less__special_I3_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_less__special_I3_J-1, axiom, ( ~class_Int_Onumber__ring(_u10946) | ~class_Rings_Olinordered__idom(_u10946) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10946), hAPP(c_Int_Onumber__class_Onumber__of(_u10946), _u10947)), c_Groups_Ozero__class_Ozero(_u10946))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10947), c_Int_OPls)) )).
% 39.89/40.08 cnf(fact_less__special_I3_J-2, axiom, ( ~class_Int_Onumber__ring(_u10946) | ~class_Rings_Olinordered__idom(_u10946) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10947), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10946), hAPP(c_Int_Onumber__class_Onumber__of(_u10946), _u10947)), c_Groups_Ozero__class_Ozero(_u10946))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_less__special_I1_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_less__special_I1_J-1, axiom, ( ~class_Int_Onumber__ring(_u10948) | ~class_Rings_Olinordered__idom(_u10948) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10948), c_Groups_Ozero__class_Ozero(_u10948)), hAPP(c_Int_Onumber__class_Onumber__of(_u10948), _u10949))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u10949)) )).
% 39.89/40.08 cnf(fact_less__special_I1_J-2, axiom, ( ~class_Int_Onumber__ring(_u10948) | ~class_Rings_Olinordered__idom(_u10948) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u10949)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10948), c_Groups_Ozero__class_Ozero(_u10948)), hAPP(c_Int_Onumber__class_Onumber__of(_u10948), _u10949))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_less__0__number__of ( axiom ) converted to clauses:
% 39.89/40.08 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), _u10951))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u10951)) )).
% 39.89/40.08 cnf(fact_less__0__number__of-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u10952)) | 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), _u10952))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_numeral__1__eq__Suc__0 ( axiom ) converted to clauses:
% 39.89/40.08 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))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_numeral__3__eq__3 ( axiom ) converted to clauses:
% 39.89/40.08 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))))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_power3__eq__cube ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_power3__eq__cube-1, axiom, ( ~class_Groups_Omonoid__mult(_u10953) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10953), _u10954), 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(_u10953), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10953), _u10954), _u10954)), _u10954)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J ( axiom ) converted to clauses:
% 39.89/40.08 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))))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_Suc3__eq__add__3 ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_Suc3__eq__add__3-1, axiom, ( ( hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u10955))) = 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)))), _u10955)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_add__nat__number__of ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_add__nat__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10958), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10958)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10960)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10960)) )).
% 39.89/40.08 cnf(fact_add__nat__number__of-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10959), c_Int_OPls)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10961), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10959)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10961)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10959)) )).
% 39.89/40.08 cnf(fact_add__nat__number__of-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10959), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10961), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10959)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10961)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10959), _u10961))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_transfer__int__nat__numerals_I4_J ( axiom ) converted to clauses:
% 39.89/40.08 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))))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_transfer__nat__int__numerals_I4_J ( axiom ) converted to clauses:
% 39.89/40.08 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))))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_Nat__Transfer_Otransfer__nat__int__set__function__closures_I6_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_Nat__Transfer_Otransfer__nat__int__set__function__closures_I6_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u10962) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10963), _u10962)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10963)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_number__of__succ ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_number__of__succ-1, axiom, ( ~class_Int_Onumber__ring(_u10964) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10964), c_Int_Osucc(_u10965)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10964), c_Groups_Oone__class_Oone(_u10964)), hAPP(c_Int_Onumber__class_Onumber__of(_u10964), _u10965))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I4_J ( axiom ) converted to clauses:
% 39.89/40.08 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)))), _u10966))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_le__special_I4_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_le__special_I4_J-1, axiom, ( ~class_Int_Onumber__ring(_u10967) | ~class_Rings_Olinordered__idom(_u10967) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10967), hAPP(c_Int_Onumber__class_Onumber__of(_u10967), _u10968)), c_Groups_Oone__class_Oone(_u10967))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10968), c_Int_OBit1(c_Int_OPls))) )).
% 39.89/40.08 cnf(fact_le__special_I4_J-2, axiom, ( ~class_Int_Onumber__ring(_u10967) | ~class_Rings_Olinordered__idom(_u10967) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10968), c_Int_OBit1(c_Int_OPls))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10967), hAPP(c_Int_Onumber__class_Onumber__of(_u10967), _u10968)), c_Groups_Oone__class_Oone(_u10967))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_le__special_I2_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_le__special_I2_J-1, axiom, ( ~class_Int_Onumber__ring(_u10969) | ~class_Rings_Olinordered__idom(_u10969) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10969), c_Groups_Oone__class_Oone(_u10969)), hAPP(c_Int_Onumber__class_Onumber__of(_u10969), _u10970))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u10970)) )).
% 39.89/40.08 cnf(fact_le__special_I2_J-2, axiom, ( ~class_Int_Onumber__ring(_u10969) | ~class_Rings_Olinordered__idom(_u10969) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u10970)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10969), c_Groups_Oone__class_Oone(_u10969)), hAPP(c_Int_Onumber__class_Onumber__of(_u10969), _u10970))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_less__special_I2_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_less__special_I2_J-1, axiom, ( ~class_Int_Onumber__ring(_u10971) | ~class_Rings_Olinordered__idom(_u10971) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10971), c_Groups_Oone__class_Oone(_u10971)), hAPP(c_Int_Onumber__class_Onumber__of(_u10971), _u10972))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u10972)) )).
% 39.89/40.08 cnf(fact_less__special_I2_J-2, axiom, ( ~class_Int_Onumber__ring(_u10971) | ~class_Rings_Olinordered__idom(_u10971) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u10972)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10971), c_Groups_Oone__class_Oone(_u10971)), hAPP(c_Int_Onumber__class_Onumber__of(_u10971), _u10972))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_less__special_I4_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_less__special_I4_J-1, axiom, ( ~class_Int_Onumber__ring(_u10973) | ~class_Rings_Olinordered__idom(_u10973) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10973), hAPP(c_Int_Onumber__class_Onumber__of(_u10973), _u10974)), c_Groups_Oone__class_Oone(_u10973))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10974), c_Int_OBit1(c_Int_OPls))) )).
% 39.89/40.08 cnf(fact_less__special_I4_J-2, axiom, ( ~class_Int_Onumber__ring(_u10973) | ~class_Rings_Olinordered__idom(_u10973) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10974), c_Int_OBit1(c_Int_OPls))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10973), hAPP(c_Int_Onumber__class_Onumber__of(_u10973), _u10974)), c_Groups_Oone__class_Oone(_u10973))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_add__special_I3_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_add__special_I3_J-1, axiom, ( ~class_Int_Onumber__ring(_u10975) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10975), hAPP(c_Int_Onumber__class_Onumber__of(_u10975), _u10976)), c_Groups_Oone__class_Oone(_u10975)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10975), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10976), c_Int_OBit1(c_Int_OPls)))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_add__special_I2_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_add__special_I2_J-1, axiom, ( ~class_Int_Onumber__ring(_u10977) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10977), c_Groups_Oone__class_Oone(_u10977)), hAPP(c_Int_Onumber__class_Onumber__of(_u10977), _u10978)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10977), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u10978))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_Suc__diff__eq__diff__pred ( axiom ) converted to clauses:
% 39.89/40.08 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)), _u10979)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10980)), _u10979) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10980), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10979), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OPls))))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_mult__nat__number__of ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_mult__nat__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10983), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10983)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10985)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.08 cnf(fact_mult__nat__number__of-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10984), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10984)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10986)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10984), _u10986))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_nat__number__of__mult__left ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_nat__number__of__mult__left-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10990), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10990)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10992)), _u10994)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.08 cnf(fact_nat__number__of__mult__left-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10991), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10991)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10993)), _u10995)) = 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), _u10991), _u10993))), _u10995)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_Suc__mod__eq__add3__mod__number__of ( axiom ) converted to clauses:
% 39.89/40.08 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, _u10996))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10997)) = 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)))), _u10996), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10997))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_Suc__mod__eq__add3__mod ( axiom ) converted to clauses:
% 39.89/40.08 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, _u10998))), _u10999) = 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)))), _u10998), _u10999)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_mod__Suc__eq__mod__add3 ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_mod__Suc__eq__mod__add3-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u11000, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u11001)))) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u11000, 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)))), _u11001))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_Suc__div__eq__add3__div__number__of ( axiom ) converted to clauses:
% 39.89/40.08 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, _u11002)))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11003)) = 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)))), _u11002)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11003))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_Suc__div__eq__add3__div ( axiom ) converted to clauses:
% 39.89/40.08 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, _u11004)))), _u11005) = 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)))), _u11004)), _u11005)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_div__Suc__eq__div__add3 ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_div__Suc__eq__div__add3-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u11006), hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u11007)))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u11006), 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)))), _u11007))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_transfer__nat__int__set__return__embed ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_transfer__nat__int__set__return__embed-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u11008) | ( 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), _u11008)) = _u11008) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_diff__special_I2_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_diff__special_I2_J-1, axiom, ( ~class_Int_Onumber__ring(_u11009) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11009), hAPP(c_Int_Onumber__class_Onumber__of(_u11009), _u11010)), c_Groups_Oone__class_Oone(_u11009)) = hAPP(c_Int_Onumber__class_Onumber__of(_u11009), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11010), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls))))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_diff__special_I1_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_diff__special_I1_J-1, axiom, ( ~class_Int_Onumber__ring(_u11011) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11011), c_Groups_Oone__class_Oone(_u11011)), hAPP(c_Int_Onumber__class_Onumber__of(_u11011), _u11012)) = hAPP(c_Int_Onumber__class_Onumber__of(_u11011), 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), _u11012)))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_transfer__int__nat__set__relations_I1_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_transfer__int__nat__set__relations_I1_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u11013) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), _u11013)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u11013))) )).
% 39.89/40.08 cnf(fact_transfer__int__nat__set__relations_I1_J-2, axiom, ( ~c_Nat__Transfer_Onat__set(_u11013) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u11013))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), _u11013)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__functions_I1_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I1_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u11014) | ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), _u11014) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u11014))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_transfer__int__nat__set__relations_I5_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_transfer__int__nat__set__relations_I5_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u11015) | ~c_Nat__Transfer_Onat__set(_u11016) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u11015), _u11016)) | 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), _u11015)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u11016))) )).
% 39.89/40.08 cnf(fact_transfer__int__nat__set__relations_I5_J-2, axiom, ( ~c_Nat__Transfer_Onat__set(_u11015) | ~c_Nat__Transfer_Onat__set(_u11016) | ~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), _u11015)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u11016))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u11015), _u11016)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_transfer__int__nat__set__relations_I4_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_transfer__int__nat__set__relations_I4_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u11017) | ~c_Nat__Transfer_Onat__set(_u11018) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u11017), _u11018)) | 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), _u11017)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u11018))) )).
% 39.89/40.08 cnf(fact_transfer__int__nat__set__relations_I4_J-2, axiom, ( ~c_Nat__Transfer_Onat__set(_u11017) | ~c_Nat__Transfer_Onat__set(_u11018) | ~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), _u11017)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u11018))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u11017), _u11018)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_transfer__int__nat__sum__prod_I1_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_transfer__int__nat__sum__prod_I1_J-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11019) | ~class_Groups_Ocomm__monoid__mult(_u11019) | ~c_Nat__Transfer_Onat__set(_u11020) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u11019), _u11021), _u11020) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11019), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u11019, tc_Nat_Onat), _u11021), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u11020))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_Suc__nat__number__of ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_Suc__nat__number__of-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11023))) | ( hAPP(c_Nat_OSuc, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11023)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 39.89/40.08 cnf(fact_Suc__nat__number__of-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11024))) | ( hAPP(c_Nat_OSuc, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11024)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u11024))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_transfer__int__nat__sum__prod_I2_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_transfer__int__nat__sum__prod_I2_J-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11025) | ~class_Groups_Ocomm__monoid__mult(_u11025) | ~c_Nat__Transfer_Onat__set(_u11026) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u11025), _u11027), _u11026) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat, _u11025), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u11025, tc_Nat_Onat), _u11027), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u11026))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_eq__special_I4_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_eq__special_I4_J-1, axiom, ( ~class_Int_Onumber__ring(_u11028) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u11028), _u11029) != c_Groups_Oone__class_Oone(_u11028)) | c_Int_Oiszero(_u11028, hAPP(c_Int_Onumber__class_Onumber__of(_u11028), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11029), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls))))) )).
% 39.89/40.08 cnf(fact_eq__special_I4_J-2, axiom, ( ~class_Int_Onumber__ring(_u11028) | ~c_Int_Oiszero(_u11028, hAPP(c_Int_Onumber__class_Onumber__of(_u11028), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11029), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls))))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u11028), _u11029) = c_Groups_Oone__class_Oone(_u11028)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_eq__special_I2_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_eq__special_I2_J-1, axiom, ( ~class_Int_Onumber__ring(_u11030) | ( c_Groups_Oone__class_Oone(_u11030) != hAPP(c_Int_Onumber__class_Onumber__of(_u11030), _u11031)) | c_Int_Oiszero(_u11030, hAPP(c_Int_Onumber__class_Onumber__of(_u11030), 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), _u11031)))) )).
% 39.89/40.08 cnf(fact_eq__special_I2_J-2, axiom, ( ~class_Int_Onumber__ring(_u11030) | ~c_Int_Oiszero(_u11030, hAPP(c_Int_Onumber__class_Onumber__of(_u11030), 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), _u11031)))) | ( c_Groups_Oone__class_Oone(_u11030) = hAPP(c_Int_Onumber__class_Onumber__of(_u11030), _u11031)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_neg__zmod__mult__2 ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_neg__zmod__mult__2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11032), 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)))), _u11033)), 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)))), _u11032)) = 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), _u11033), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u11032))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_zmod__number__of__Bit1 ( axiom ) converted to clauses:
% 39.89/40.08 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), _u11036))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u11038)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u11036))) = 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), _u11038), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11036)))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 39.89/40.08 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), _u11037))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u11039)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u11037))) = 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), _u11039)), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11037)))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_rel__simps_I44_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_rel__simps_I44_J-1, axiom, ( ( c_Int_OBit0(_u11041) != c_Int_OPls) | ( _u11041 = c_Int_OPls) )).
% 39.89/40.08 cnf(fact_rel__simps_I44_J-2, axiom, ( ( _u11042 != c_Int_OPls) | ( c_Int_OBit0(_u11042) = c_Int_OPls) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_rel__simps_I38_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_rel__simps_I38_J-1, axiom, ( ( c_Int_OPls != c_Int_OBit0(_u11044)) | ( c_Int_OPls = _u11044) )).
% 39.89/40.08 cnf(fact_rel__simps_I38_J-2, axiom, ( ( c_Int_OPls != _u11045) | ( c_Int_OPls = c_Int_OBit0(_u11045)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_Bit0__Pls ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_Bit0__Pls-1, axiom, ( ( c_Int_OBit0(c_Int_OPls) = c_Int_OPls) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_iszero__number__of__Bit0 ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_iszero__number__of__Bit0-1, axiom, ( ~class_Int_Onumber__ring(_u11046) | ~class_Int_Oring__char__0(_u11046) | ~c_Int_Oiszero(_u11046, hAPP(c_Int_Onumber__class_Onumber__of(_u11046), c_Int_OBit0(_u11047))) | c_Int_Oiszero(_u11046, hAPP(c_Int_Onumber__class_Onumber__of(_u11046), _u11047)) )).
% 39.89/40.08 cnf(fact_iszero__number__of__Bit0-2, axiom, ( ~class_Int_Onumber__ring(_u11046) | ~class_Int_Oring__char__0(_u11046) | ~c_Int_Oiszero(_u11046, hAPP(c_Int_Onumber__class_Onumber__of(_u11046), _u11047)) | c_Int_Oiszero(_u11046, hAPP(c_Int_Onumber__class_Onumber__of(_u11046), c_Int_OBit0(_u11047))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_rel__simps_I50_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_rel__simps_I50_J-1, axiom, ( ( c_Int_OBit1(_u11048) != c_Int_OBit0(_u11049)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_rel__simps_I49_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_rel__simps_I49_J-1, axiom, ( ( c_Int_OBit0(_u11050) != c_Int_OBit1(_u11051)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_mult__Bit0 ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_mult__Bit0-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OBit0(_u11052)), _u11053) = c_Int_OBit0(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u11052), _u11053))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_add__Bit0__Bit0 ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_add__Bit0__Bit0-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit0(_u11054)), c_Int_OBit0(_u11055)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11054), _u11055))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_Bit0__def ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_Bit0__def-1, axiom, ( ( c_Int_OBit0(_u11056) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11056), _u11056)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_rel__simps_I48_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_rel__simps_I48_J-1, axiom, ( ( c_Int_OBit0(_u11059) != c_Int_OBit0(_u11061)) | ( _u11059 = _u11061) )).
% 39.89/40.08 cnf(fact_rel__simps_I48_J-2, axiom, ( ( _u11060 != _u11062) | ( c_Int_OBit0(_u11060) = c_Int_OBit0(_u11062)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_rel__simps_I31_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_rel__simps_I31_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u11065)), c_Int_OBit0(_u11067))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11065), _u11067)) )).
% 39.89/40.08 cnf(fact_rel__simps_I31_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11066), _u11068)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u11066)), c_Int_OBit0(_u11068))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_less__eq__int__code_I13_J ( axiom ) converted to clauses:
% 39.89/40.08 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(_u11071)), c_Int_OBit0(_u11073))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11071), _u11073)) )).
% 39.89/40.08 cnf(fact_less__eq__int__code_I13_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11072), _u11074)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u11072)), c_Int_OBit0(_u11074))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_less__int__code_I13_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_less__int__code_I13_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u11077)), c_Int_OBit0(_u11079))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11077), _u11079)) )).
% 39.89/40.08 cnf(fact_less__int__code_I13_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11078), _u11080)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u11078)), c_Int_OBit0(_u11080))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_rel__simps_I14_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_rel__simps_I14_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u11083)), c_Int_OBit0(_u11085))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11083), _u11085)) )).
% 39.89/40.08 cnf(fact_rel__simps_I14_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11084), _u11086)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u11084)), c_Int_OBit0(_u11086))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_minus__Bit0 ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_minus__Bit0-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit0(_u11087)) = c_Int_OBit0(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11087))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_diff__bin__simps_I7_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_diff__bin__simps_I7_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit0(_u11088)), c_Int_OBit0(_u11089)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11088), _u11089))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_iszero__0 ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_iszero__0-1, axiom, ( ~class_Rings_Osemiring__1(_u11090) | c_Int_Oiszero(_u11090, c_Groups_Ozero__class_Ozero(_u11090)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_iszero__def ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_iszero__def-1, axiom, ( ~class_Rings_Osemiring__1(_u11091) | ~c_Int_Oiszero(_u11091, _u11092) | ( _u11092 = c_Groups_Ozero__class_Ozero(_u11091)) )).
% 39.89/40.08 cnf(fact_iszero__def-2, axiom, ( ~class_Rings_Osemiring__1(_u11091) | ( _u11092 != c_Groups_Ozero__class_Ozero(_u11091)) | c_Int_Oiszero(_u11091, _u11092) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_not__iszero__1 ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_not__iszero__1-1, axiom, ( ~class_Rings_Osemiring__1(_u11093) | ~c_Int_Oiszero(_u11093, c_Groups_Oone__class_Oone(_u11093)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_bin__less__0__simps_I3_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_bin__less__0__simps_I3_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u11095)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11095), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.89/40.08 cnf(fact_bin__less__0__simps_I3_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11096), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u11096)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_rel__simps_I21_J ( axiom ) converted to clauses:
% 39.89/40.08 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(_u11098))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u11098)) )).
% 39.89/40.08 cnf(fact_rel__simps_I21_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u11099)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u11099))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_rel__simps_I27_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_rel__simps_I27_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u11101)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11101), c_Int_OPls)) )).
% 39.89/40.08 cnf(fact_rel__simps_I27_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11102), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u11102)), c_Int_OPls)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_rel__simps_I32_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_rel__simps_I32_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u11105)), c_Int_OBit1(_u11107))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11105), _u11107)) )).
% 39.89/40.08 cnf(fact_rel__simps_I32_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11106), _u11108)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u11106)), c_Int_OBit1(_u11108))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_less__eq__int__code_I14_J ( axiom ) converted to clauses:
% 39.89/40.08 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(_u11111)), c_Int_OBit1(_u11113))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11111), _u11113)) )).
% 39.89/40.08 cnf(fact_less__eq__int__code_I14_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11112), _u11114)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u11112)), c_Int_OBit1(_u11114))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_rel__simps_I10_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_rel__simps_I10_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u11116)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11116), c_Int_OPls)) )).
% 39.89/40.08 cnf(fact_rel__simps_I10_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11117), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u11117)), c_Int_OPls)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_rel__simps_I4_J ( axiom ) converted to clauses:
% 39.89/40.08 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(_u11119))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u11119)) )).
% 39.89/40.08 cnf(fact_rel__simps_I4_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u11120)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u11120))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_less__int__code_I15_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_less__int__code_I15_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u11123)), c_Int_OBit0(_u11125))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11123), _u11125)) )).
% 39.89/40.08 cnf(fact_less__int__code_I15_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11124), _u11126)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u11124)), c_Int_OBit0(_u11126))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_rel__simps_I16_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_rel__simps_I16_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u11129)), c_Int_OBit0(_u11131))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11129), _u11131)) )).
% 39.89/40.08 cnf(fact_rel__simps_I16_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11130), _u11132)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u11130)), c_Int_OBit0(_u11132))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_add__Bit1__Bit0 ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_add__Bit1__Bit0-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit1(_u11133)), c_Int_OBit0(_u11134)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11133), _u11134))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_add__Bit0__Bit1 ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_add__Bit0__Bit1-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit0(_u11135)), c_Int_OBit1(_u11136)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11135), _u11136))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_diff__bin__simps_I3_J ( axiom ) converted to clauses:
% 39.89/40.08 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(_u11137)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OPls), _u11137))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_diff__bin__simps_I10_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_diff__bin__simps_I10_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit1(_u11138)), c_Int_OBit1(_u11139)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11138), _u11139))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_diff__bin__simps_I9_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_diff__bin__simps_I9_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit1(_u11140)), c_Int_OBit0(_u11141)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11140), _u11141))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_zdiv__number__of__Bit0 ( axiom ) converted to clauses:
% 39.89/40.08 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(_u11142))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u11143))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11142)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11143))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_neg__number__of__Bit0 ( axiom ) converted to clauses:
% 39.89/40.08 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(_u11145)))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11145))) )).
% 39.89/40.08 cnf(fact_neg__number__of__Bit0-2, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11146))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u11146)))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_succ__Bit1 ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_succ__Bit1-1, axiom, ( ( c_Int_Osucc(c_Int_OBit1(_u11147)) = c_Int_OBit0(c_Int_Osucc(_u11147))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_succ__Bit0 ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_succ__Bit0-1, axiom, ( ( c_Int_Osucc(c_Int_OBit0(_u11148)) = c_Int_OBit1(_u11148)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_nat__number__of__Bit0 ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_nat__number__of__Bit0-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u11149)) = hAPP(hAPP(c_HOL_OLet(tc_Nat_Onat, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11149)), 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)))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_number__of__Bit0 ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_number__of__Bit0-1, axiom, ( ~class_Int_Onumber__ring(_u11150) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u11150), c_Int_OBit0(_u11151)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11150), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11150), c_Groups_Ozero__class_Ozero(_u11150)), hAPP(c_Int_Onumber__class_Onumber__of(_u11150), _u11151))), hAPP(c_Int_Onumber__class_Onumber__of(_u11150), _u11151))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_less__eq__int__code_I15_J ( axiom ) converted to clauses:
% 39.89/40.08 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(_u11154)), c_Int_OBit0(_u11156))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11154), _u11156)) )).
% 39.89/40.08 cnf(fact_less__eq__int__code_I15_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11155), _u11157)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u11155)), c_Int_OBit0(_u11157))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_rel__simps_I33_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_rel__simps_I33_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u11160)), c_Int_OBit0(_u11162))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11160), _u11162)) )).
% 39.89/40.08 cnf(fact_rel__simps_I33_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11161), _u11163)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u11161)), c_Int_OBit0(_u11163))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_less__int__code_I14_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_less__int__code_I14_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u11166)), c_Int_OBit1(_u11168))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11166), _u11168)) )).
% 39.89/40.08 cnf(fact_less__int__code_I14_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11167), _u11169)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u11167)), c_Int_OBit1(_u11169))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_rel__simps_I15_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_rel__simps_I15_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u11172)), c_Int_OBit1(_u11174))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11172), _u11174)) )).
% 39.89/40.08 cnf(fact_rel__simps_I15_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11173), _u11175)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u11173)), c_Int_OBit1(_u11175))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_card__UNIV__bool ( axiom ) converted to clauses:
% 39.89/40.08 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)))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_mult__Bit1 ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_mult__Bit1-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OBit1(_u11176)), _u11177) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit0(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u11176), _u11177))), _u11177)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_add__Bit1__Bit1 ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_add__Bit1__Bit1-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit1(_u11178)), c_Int_OBit1(_u11179)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11178), c_Int_Osucc(_u11179)))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_power__number__of__even ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_power__number__of__even-1, axiom, ( ~class_Int_Onumber__ring(_u11180) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11180), _u11181), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u11182))) = hAPP(hAPP(c_HOL_OLet(_u11180, _u11180), hAPP(hAPP(c_Power_Opower__class_Opower(_u11180), _u11181), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11182))), hAPP(hAPP(c_COMBS(_u11180, _u11180, _u11180), c_Groups_Otimes__class_Otimes(_u11180)), c_COMBI(_u11180)))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_zpower__number__of__even ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_zpower__number__of__even-1, axiom, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u11183), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u11184))) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u11183), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11184))), 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)))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_iszero__Numeral0 ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_iszero__Numeral0-1, axiom, ( ~class_Int_Onumber__ring(_u11185) | c_Int_Oiszero(_u11185, hAPP(c_Int_Onumber__class_Onumber__of(_u11185), c_Int_OPls)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_iszero__number__of__Bit1 ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_iszero__number__of__Bit1-1, axiom, ( ~class_Int_Onumber__ring(_u11186) | ~class_Int_Oring__char__0(_u11186) | ~c_Int_Oiszero(_u11186, hAPP(c_Int_Onumber__class_Onumber__of(_u11186), c_Int_OBit1(_u11187))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_double__number__of__Bit0 ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_double__number__of__Bit0-1, axiom, ( ~class_Int_Onumber__ring(_u11188) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11188), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11188), c_Groups_Oone__class_Oone(_u11188)), c_Groups_Oone__class_Oone(_u11188))), hAPP(c_Int_Onumber__class_Onumber__of(_u11188), _u11189)) = hAPP(c_Int_Onumber__class_Onumber__of(_u11188), c_Int_OBit0(_u11189))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_number__of1 ( axiom ) converted to clauses:
% 39.89/40.08 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), _u11190))) | 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(_u11190)))) )).
% 39.89/40.08 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), _u11190))) | 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(_u11190)))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_power__number__of__even__number__of ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_power__number__of__even__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u11191) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11191), hAPP(c_Int_Onumber__class_Onumber__of(_u11191), _u11192)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u11193))) = hAPP(hAPP(c_HOL_OLet(_u11191, _u11191), hAPP(hAPP(c_Power_Opower__class_Opower(_u11191), hAPP(c_Int_Onumber__class_Onumber__of(_u11191), _u11192)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11193))), hAPP(hAPP(c_COMBS(_u11191, _u11191, _u11191), c_Groups_Otimes__class_Otimes(_u11191)), c_COMBI(_u11191)))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_mult__2__right ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_mult__2__right-1, axiom, ( ~class_Int_Onumber__ring(_u11194) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11194), _u11195), hAPP(c_Int_Onumber__class_Onumber__of(_u11194), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11194), _u11195), _u11195)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_mult__2 ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_mult__2-1, axiom, ( ~class_Int_Onumber__ring(_u11196) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11196), hAPP(c_Int_Onumber__class_Onumber__of(_u11196), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u11197) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11196), _u11197), _u11197)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_one__add__one__is__two ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_one__add__one__is__two-1, axiom, ( ~class_Int_Onumber__ring(_u11198) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11198), c_Groups_Oone__class_Oone(_u11198)), c_Groups_Oone__class_Oone(_u11198)) = hAPP(c_Int_Onumber__class_Onumber__of(_u11198), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_zero__eq__power2 ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_zero__eq__power2-1, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u11199) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11199), _u11200), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Groups_Ozero__class_Ozero(_u11199)) | ( _u11200 = c_Groups_Ozero__class_Ozero(_u11199)) )).
% 39.89/40.08 cnf(fact_zero__eq__power2-2, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u11199) | ( _u11200 != c_Groups_Ozero__class_Ozero(_u11199)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11199), _u11200), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(_u11199)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_zero__power2 ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_zero__power2-1, axiom, ( ~class_Rings_Osemiring__1(_u11201) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11201), c_Groups_Ozero__class_Ozero(_u11201)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(_u11201)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_numeral__2__eq__2 ( axiom ) converted to clauses:
% 39.89/40.08 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)))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_semiring__norm_I115_J ( axiom ) converted to clauses:
% 39.89/40.08 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)))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_power2__eq__square ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_power2__eq__square-1, axiom, ( ~class_Groups_Omonoid__mult(_u11202) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11202), _u11203), 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(_u11202), _u11203), _u11203)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u11204) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11204), _u11205), _u11205) = hAPP(hAPP(c_Power_Opower__class_Opower(_u11204), _u11205), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J ( axiom ) converted to clauses:
% 39.89/40.08 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))))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_add__2__eq__Suc ( axiom ) converted to clauses:
% 39.89/40.08 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)))), _u11206) = hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u11206))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_add__2__eq__Suc_H ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_add__2__eq__Suc_H-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11207), 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, _u11207))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_one__power2 ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_one__power2-1, axiom, ( ~class_Rings_Osemiring__1(_u11208) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11208), c_Groups_Oone__class_Oone(_u11208)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(_u11208)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_power2__minus ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_power2__minus-1, axiom, ( ~class_Rings_Oring__1(_u11209) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11209), hAPP(c_Groups_Ouminus__class_Ouminus(_u11209), _u11210)), 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(_u11209), _u11210), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_nat__mult__2 ( axiom ) converted to clauses:
% 39.89/40.08 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)))), _u11211) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11211), _u11211)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_nat__mult__2__right ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_nat__mult__2__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u11212), 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), _u11212), _u11212)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_power__even__eq ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_power__even__eq-1, axiom, ( ~class_Groups_Omonoid__mult(_u11213) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11213), _u11214), 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)))), _u11215)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u11213), hAPP(hAPP(c_Power_Opower__class_Opower(_u11213), _u11214), _u11215)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_transfer__int__nat__numerals_I3_J ( axiom ) converted to clauses:
% 39.89/40.08 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))))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_transfer__nat__int__numerals_I3_J ( axiom ) converted to clauses:
% 39.89/40.08 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))))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_nat__1__add__1 ( axiom ) converted to clauses:
% 39.89/40.08 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)))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_mod2__Suc__Suc ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_mod2__Suc__Suc-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u11216)), 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, _u11216, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_div2__Suc__Suc ( axiom ) converted to clauses:
% 39.89/40.08 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, _u11217))), 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), _u11217), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_zmod__number__of__Bit0 ( axiom ) converted to clauses:
% 39.89/40.08 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(_u11218)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u11219))) = 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), _u11218), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11219)))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_add__self__div__2 ( axiom ) converted to clauses:
% 39.89/40.08 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), _u11220), _u11220)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = _u11220) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_not__iszero__Numeral1 ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_not__iszero__Numeral1-1, axiom, ( ~class_Int_Onumber__ring(_u11221) | ~c_Int_Oiszero(_u11221, hAPP(c_Int_Onumber__class_Onumber__of(_u11221), c_Int_OBit1(c_Int_OPls))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_eq__number__of__eq ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_eq__number__of__eq-1, axiom, ( ~class_Int_Onumber__ring(_u11222) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u11222), _u11223) != hAPP(c_Int_Onumber__class_Onumber__of(_u11222), _u11224)) | c_Int_Oiszero(_u11222, hAPP(c_Int_Onumber__class_Onumber__of(_u11222), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11223), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11224)))) )).
% 39.89/40.08 cnf(fact_eq__number__of__eq-2, axiom, ( ~class_Int_Onumber__ring(_u11222) | ~c_Int_Oiszero(_u11222, hAPP(c_Int_Onumber__class_Onumber__of(_u11222), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11223), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11224)))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u11222), _u11223) = hAPP(c_Int_Onumber__class_Onumber__of(_u11222), _u11224)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_zero__le__power2 ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_zero__le__power2-1, axiom, ( ~class_Rings_Olinordered__idom(_u11225) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11225), c_Groups_Ozero__class_Ozero(_u11225)), hAPP(hAPP(c_Power_Opower__class_Opower(_u11225), _u11226), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_power2__le__imp__le ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_power2__le__imp__le-1, axiom, ( ~class_Rings_Olinordered__semidom(_u11227) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11227), hAPP(hAPP(c_Power_Opower__class_Opower(_u11227), _u11228), 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(_u11227), _u11229), 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(_u11227), c_Groups_Ozero__class_Ozero(_u11227)), _u11229)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11227), _u11228), _u11229)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_power2__eq__imp__eq ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_power2__eq__imp__eq-1, axiom, ( ~class_Rings_Olinordered__semidom(_u11230) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11230), _u11231), 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(_u11230), _u11232), 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(_u11230), c_Groups_Ozero__class_Ozero(_u11230)), _u11231)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11230), c_Groups_Ozero__class_Ozero(_u11230)), _u11232)) | ( _u11231 = _u11232) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_zero__less__power2 ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_zero__less__power2-1, axiom, ( ~class_Rings_Olinordered__idom(_u11233) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11233), c_Groups_Ozero__class_Ozero(_u11233)), hAPP(hAPP(c_Power_Opower__class_Opower(_u11233), _u11234), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) | ( _u11234 != c_Groups_Ozero__class_Ozero(_u11233)) )).
% 39.89/40.08 cnf(fact_zero__less__power2-2, axiom, ( ~class_Rings_Olinordered__idom(_u11233) | ( _u11234 = c_Groups_Ozero__class_Ozero(_u11233)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11233), c_Groups_Ozero__class_Ozero(_u11233)), hAPP(hAPP(c_Power_Opower__class_Opower(_u11233), _u11234), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_power2__less__0 ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_power2__less__0-1, axiom, ( ~class_Rings_Olinordered__idom(_u11235) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11235), hAPP(hAPP(c_Power_Opower__class_Opower(_u11235), _u11236), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), c_Groups_Ozero__class_Ozero(_u11235))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_sum__power2__eq__zero__iff ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_sum__power2__eq__zero__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u11237) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11237), hAPP(hAPP(c_Power_Opower__class_Opower(_u11237), _u11238), 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(_u11237), _u11239), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(_u11237)) | ( _u11238 = c_Groups_Ozero__class_Ozero(_u11237)) )).
% 39.89/40.08 cnf(fact_sum__power2__eq__zero__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u11237) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11237), hAPP(hAPP(c_Power_Opower__class_Opower(_u11237), _u11238), 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(_u11237), _u11239), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(_u11237)) | ( _u11239 = c_Groups_Ozero__class_Ozero(_u11237)) )).
% 39.89/40.08 cnf(fact_sum__power2__eq__zero__iff-3, axiom, ( ~class_Rings_Olinordered__idom(_u11237) | ( _u11238 != c_Groups_Ozero__class_Ozero(_u11237)) | ( _u11239 != c_Groups_Ozero__class_Ozero(_u11237)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11237), hAPP(hAPP(c_Power_Opower__class_Opower(_u11237), _u11238), 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(_u11237), _u11239), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Groups_Ozero__class_Ozero(_u11237)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_power2__eq__square__number__of ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_power2__eq__square__number__of-1, axiom, ( ~class_Groups_Omonoid__mult(_u11240) | ~class_Int_Onumber(_u11240) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11240), hAPP(c_Int_Onumber__class_Onumber__of(_u11240), _u11241)), 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(_u11240), hAPP(c_Int_Onumber__class_Onumber__of(_u11240), _u11241)), hAPP(c_Int_Onumber__class_Onumber__of(_u11240), _u11241))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_less__2__cases ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_less__2__cases-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11242), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) | ( _u11242 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u11242 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_nat__2 ( axiom ) converted to clauses:
% 39.89/40.08 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)))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_power2__eq__1__iff ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_power2__eq__1__iff-1, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u11243) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11243), _u11244), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Groups_Oone__class_Oone(_u11243)) | ( _u11244 = c_Groups_Oone__class_Oone(_u11243)) | ( _u11244 = hAPP(c_Groups_Ouminus__class_Ouminus(_u11243), c_Groups_Oone__class_Oone(_u11243))) )).
% 39.89/40.08 cnf(fact_power2__eq__1__iff-2, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u11243) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11243), _u11244), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(_u11243)) | ( _u11244 != c_Groups_Oone__class_Oone(_u11243)) )).
% 39.89/40.08 cnf(fact_power2__eq__1__iff-3, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u11243) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11243), _u11244), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(_u11243)) | ( _u11244 != hAPP(c_Groups_Ouminus__class_Ouminus(_u11243), c_Groups_Oone__class_Oone(_u11243))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u11245) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11245), _u11246), 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)))), _u11247)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11245), hAPP(hAPP(c_Power_Opower__class_Opower(_u11245), _u11246), _u11247)), hAPP(hAPP(c_Power_Opower__class_Opower(_u11245), _u11246), _u11247))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_power__minus__even ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_power__minus__even-1, axiom, ( ~class_Rings_Oring__1(_u11248) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11248), hAPP(c_Groups_Ouminus__class_Ouminus(_u11248), _u11249)), 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)))), _u11250)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u11248), _u11249), 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)))), _u11250))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_power2__less__imp__less ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_power2__less__imp__less-1, axiom, ( ~class_Rings_Olinordered__semidom(_u11251) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11251), hAPP(hAPP(c_Power_Opower__class_Opower(_u11251), _u11252), 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(_u11251), _u11253), 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(_u11251), c_Groups_Ozero__class_Ozero(_u11251)), _u11253)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11251), _u11252), _u11253)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_sum__power2__ge__zero ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_sum__power2__ge__zero-1, axiom, ( ~class_Rings_Olinordered__idom(_u11254) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11254), c_Groups_Ozero__class_Ozero(_u11254)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11254), hAPP(hAPP(c_Power_Opower__class_Opower(_u11254), _u11255), 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(_u11254), _u11256), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_sum__power2__le__zero__iff ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_sum__power2__le__zero__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u11257) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11257), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11257), hAPP(hAPP(c_Power_Opower__class_Opower(_u11257), _u11258), 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(_u11257), _u11259), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u11257))) | ( _u11258 = c_Groups_Ozero__class_Ozero(_u11257)) )).
% 39.89/40.08 cnf(fact_sum__power2__le__zero__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u11257) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11257), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11257), hAPP(hAPP(c_Power_Opower__class_Opower(_u11257), _u11258), 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(_u11257), _u11259), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u11257))) | ( _u11259 = c_Groups_Ozero__class_Ozero(_u11257)) )).
% 39.89/40.08 cnf(fact_sum__power2__le__zero__iff-3, axiom, ( ~class_Rings_Olinordered__idom(_u11257) | ( _u11258 != c_Groups_Ozero__class_Ozero(_u11257)) | ( _u11259 != c_Groups_Ozero__class_Ozero(_u11257)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11257), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11257), hAPP(hAPP(c_Power_Opower__class_Opower(_u11257), _u11258), 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(_u11257), _u11259), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u11257))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_sum__power2__gt__zero__iff ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_sum__power2__gt__zero__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u11260) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11260), c_Groups_Ozero__class_Ozero(_u11260)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11260), hAPP(hAPP(c_Power_Opower__class_Opower(_u11260), _u11261), 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(_u11260), _u11262), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) | ( _u11261 != c_Groups_Ozero__class_Ozero(_u11260)) | ( _u11262 != c_Groups_Ozero__class_Ozero(_u11260)) )).
% 39.89/40.08 cnf(fact_sum__power2__gt__zero__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u11260) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11260), c_Groups_Ozero__class_Ozero(_u11260)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11260), hAPP(hAPP(c_Power_Opower__class_Opower(_u11260), _u11261), 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(_u11260), _u11262), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) | ( _u11261 = c_Groups_Ozero__class_Ozero(_u11260)) )).
% 39.89/40.08 cnf(fact_sum__power2__gt__zero__iff-3, axiom, ( ~class_Rings_Olinordered__idom(_u11260) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11260), c_Groups_Ozero__class_Ozero(_u11260)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11260), hAPP(hAPP(c_Power_Opower__class_Opower(_u11260), _u11261), 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(_u11260), _u11262), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) | ( _u11262 = c_Groups_Ozero__class_Ozero(_u11260)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_not__sum__power2__lt__zero ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_not__sum__power2__lt__zero-1, axiom, ( ~class_Rings_Olinordered__idom(_u11263) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11263), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11263), hAPP(hAPP(c_Power_Opower__class_Opower(_u11263), _u11264), 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(_u11263), _u11265), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u11263))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_power2__sum ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_power2__sum-1, axiom, ( ~class_Int_Onumber__ring(_u11266) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11266), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11266), _u11267), _u11268)), 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(_u11266), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11266), hAPP(hAPP(c_Power_Opower__class_Opower(_u11266), _u11267), 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(_u11266), _u11268), 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(_u11266), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11266), hAPP(c_Int_Onumber__class_Onumber__of(_u11266), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u11267)), _u11268))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_zero__le__even__power_H ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_zero__le__even__power_H-1, axiom, ( ~class_Rings_Olinordered__idom(_u11269) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11269), c_Groups_Ozero__class_Ozero(_u11269)), hAPP(hAPP(c_Power_Opower__class_Opower(_u11269), _u11270), 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)))), _u11271)))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_power__odd__eq ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_power__odd__eq-1, axiom, ( ~class_Groups_Omonoid__mult(_u11272) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11272), _u11273), 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)))), _u11274))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11272), _u11273), hAPP(hAPP(c_Power_Opower__class_Opower(_u11272), hAPP(hAPP(c_Power_Opower__class_Opower(_u11272), _u11273), _u11274)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I37_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I37_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u11275) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11275), _u11276), 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)))), _u11277))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11275), _u11276), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11275), hAPP(hAPP(c_Power_Opower__class_Opower(_u11275), _u11276), _u11277)), hAPP(hAPP(c_Power_Opower__class_Opower(_u11275), _u11276), _u11277)))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_power__minus1__even ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_power__minus1__even-1, axiom, ( ~class_Rings_Oring__1(_u11278) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11278), hAPP(c_Groups_Ouminus__class_Ouminus(_u11278), c_Groups_Oone__class_Oone(_u11278))), 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)))), _u11279)) = c_Groups_Oone__class_Oone(_u11278)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_zdiv__number__of__Bit1 ( axiom ) converted to clauses:
% 39.89/40.08 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), _u11282))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u11284))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u11282))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11284)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11282))) )).
% 39.89/40.08 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), _u11283))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u11285))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u11283))) = 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), _u11285)), c_Groups_Oone__class_Oone(tc_Int_Oint))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11283))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_mod2__gr__0 ( axiom ) converted to clauses:
% 39.89/40.08 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, _u11287, 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, _u11287, 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)) )).
% 39.89/40.08 cnf(fact_mod2__gr__0-2, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u11288, 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, _u11288, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_div__2__gt__zero ( axiom ) converted to clauses:
% 39.89/40.08 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)), _u11289)) | 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), _u11289), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_power2__diff ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_power2__diff-1, axiom, ( ~class_Int_Onumber__ring(_u11290) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11290), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11290), _u11291), _u11292)), 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(_u11290), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11290), hAPP(hAPP(c_Power_Opower__class_Opower(_u11290), _u11291), 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(_u11290), _u11292), 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(_u11290), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11290), hAPP(c_Int_Onumber__class_Onumber__of(_u11290), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u11291)), _u11292))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_odd__0__le__power__imp__0__le ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_odd__0__le__power__imp__0__le-1, axiom, ( ~class_Rings_Olinordered__idom(_u11293) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11293), c_Groups_Ozero__class_Ozero(_u11293)), hAPP(hAPP(c_Power_Opower__class_Opower(_u11293), _u11294), 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)))), _u11295))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11293), c_Groups_Ozero__class_Ozero(_u11293)), _u11294)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_odd__power__less__zero ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_odd__power__less__zero-1, axiom, ( ~class_Rings_Olinordered__idom(_u11296) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11296), _u11297), c_Groups_Ozero__class_Ozero(_u11296))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11296), hAPP(hAPP(c_Power_Opower__class_Opower(_u11296), _u11297), 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)))), _u11298)))), c_Groups_Ozero__class_Ozero(_u11296))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_power__minus1__odd ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_power__minus1__odd-1, axiom, ( ~class_Rings_Oring__1(_u11299) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11299), hAPP(c_Groups_Ouminus__class_Ouminus(_u11299), c_Groups_Oone__class_Oone(_u11299))), 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)))), _u11300))) = hAPP(c_Groups_Ouminus__class_Ouminus(_u11299), c_Groups_Oone__class_Oone(_u11299))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_Suc__n__div__2__gt__zero ( axiom ) converted to clauses:
% 39.89/40.08 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)), _u11301)) | 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), _u11301), 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)))))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_eq__special_I1_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_eq__special_I1_J-1, axiom, ( ~class_Int_Onumber__ring(_u11302) | ( c_Groups_Ozero__class_Ozero(_u11302) != hAPP(c_Int_Onumber__class_Onumber__of(_u11302), _u11303)) | c_Int_Oiszero(_u11302, hAPP(c_Int_Onumber__class_Onumber__of(_u11302), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OPls), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11303)))) )).
% 39.89/40.08 cnf(fact_eq__special_I1_J-2, axiom, ( ~class_Int_Onumber__ring(_u11302) | ~c_Int_Oiszero(_u11302, hAPP(c_Int_Onumber__class_Onumber__of(_u11302), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OPls), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11303)))) | ( c_Groups_Ozero__class_Ozero(_u11302) = hAPP(c_Int_Onumber__class_Onumber__of(_u11302), _u11303)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_eq__special_I3_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_eq__special_I3_J-1, axiom, ( ~class_Int_Onumber__ring(_u11304) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u11304), _u11305) != c_Groups_Ozero__class_Ozero(_u11304)) | c_Int_Oiszero(_u11304, hAPP(c_Int_Onumber__class_Onumber__of(_u11304), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11305), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OPls)))) )).
% 39.89/40.08 cnf(fact_eq__special_I3_J-2, axiom, ( ~class_Int_Onumber__ring(_u11304) | ~c_Int_Oiszero(_u11304, hAPP(c_Int_Onumber__class_Onumber__of(_u11304), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11305), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OPls)))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u11304), _u11305) = c_Groups_Ozero__class_Ozero(_u11304)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_of__nat__double ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_of__nat__double-1, axiom, ( ~class_Rings_Osemiring__1(_u11306) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11307)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u11306), 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)))), _u11307))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11306), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u11306), hAPP(c_Int_Onat, _u11307))), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u11306), hAPP(c_Int_Onat, _u11307)))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_pos__zmod__mult__2 ( axiom ) converted to clauses:
% 39.89/40.08 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)), _u11308)) | ( 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)))), _u11309)), 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)))), _u11308)) = 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, _u11309, _u11308)))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_neg__zdiv__mult__2 ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_neg__zdiv__mult__2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11310), 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)))), _u11311))), 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)))), _u11310)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11311), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u11310)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_pos__zdiv__mult__2 ( axiom ) converted to clauses:
% 39.89/40.08 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)), _u11312)) | ( 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)))), _u11313))), 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)))), _u11312)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u11313), _u11312)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_arith__series__int ( axiom ) converted to clauses:
% 39.89/40.08 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), _u11314)), 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))), _u11315))), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u11316))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u11316)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11314), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11314), 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), _u11316), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), _u11315))))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_adjust__def ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_adjust__def-1, axiom, ( ( c_Divides_Oadjust(_u11317) = 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)), _u11317))))), 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)), _u11317))))), 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)))))))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_adjust__eq ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_adjust__eq-1, axiom, ( ( hAPP(c_Divides_Oadjust(_u11318), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u11319), _u11320)) = 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), _u11320), _u11318)), 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)))), _u11319)), 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)))), _u11319)), _u11320)))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_posDivAlg__eqn__1__number__of ( axiom ) converted to clauses:
% 39.89/40.08 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), _u11321))) | ~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), _u11321))) | ( c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11321)) = 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))) )).
% 39.89/40.08 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), _u11321))) | 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), _u11321))) | ( c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11321)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11321)), 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), _u11321))))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_posDivAlg_Osimps ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_posDivAlg_Osimps-1, axiom, ( ( c_Divides_OposDivAlg(_u11324, _u11326) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11324)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11324), _u11326)) )).
% 39.89/40.08 cnf(fact_posDivAlg_Osimps-2, axiom, ( ( c_Divides_OposDivAlg(_u11324, _u11326) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11324)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11326), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.89/40.08 cnf(fact_posDivAlg_Osimps-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11325), _u11327)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11327), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OposDivAlg(_u11325, _u11327) = hAPP(c_Divides_Oadjust(_u11327), c_Divides_OposDivAlg(_u11325, 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)))), _u11327)))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_posDivAlg__eqn ( axiom ) converted to clauses:
% 39.89/40.08 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)), _u11328)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11329), _u11328)) | ( c_Divides_OposDivAlg(_u11329, _u11328) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11329)) )).
% 39.89/40.08 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)), _u11328)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11329), _u11328)) | ( c_Divides_OposDivAlg(_u11329, _u11328) = hAPP(c_Divides_Oadjust(_u11328), c_Divides_OposDivAlg(_u11329, 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)))), _u11328)))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_posDivAlg__eqn__number__of ( axiom ) converted to clauses:
% 39.89/40.08 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), _u11330))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11331)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11330))) | ( c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11331), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11330)) = 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), _u11331))) )).
% 39.89/40.08 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), _u11330))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11331)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11330))) | ( c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11331), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11330)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11330)), c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11331), 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), _u11330))))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_posDivAlg_Opsimps ( axiom ) converted to clauses:
% 39.89/40.08 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), _u11332), _u11333))) | ( c_Divides_OposDivAlg(_u11332, _u11333) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11332)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11332), _u11333)) )).
% 39.89/40.08 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), _u11332), _u11333))) | ( c_Divides_OposDivAlg(_u11332, _u11333) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11332)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11333), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.89/40.08 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), _u11332), _u11333))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11332), _u11333)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11333), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OposDivAlg(_u11332, _u11333) = hAPP(c_Divides_Oadjust(_u11333), c_Divides_OposDivAlg(_u11332, 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)))), _u11333)))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_of__int__num ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_of__int__num-1, axiom, ( ~class_Rings_Oring__1(_u11334) | ( _u11335 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u11334), _u11335) = c_Groups_Ozero__class_Ozero(_u11334)) )).
% 39.89/40.08 cnf(fact_of__int__num-2, axiom, ( ~class_Rings_Oring__1(_u11334) | ( _u11335 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11335), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u11334), _u11335) = hAPP(c_Groups_Ouminus__class_Ouminus(_u11334), hAPP(c_Int_Oring__1__class_Oof__int(_u11334), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11335)))) )).
% 39.89/40.08 cnf(fact_of__int__num-3, axiom, ( ~class_Rings_Oring__1(_u11334) | ( _u11335 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11335), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u11334), _u11335) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint, tc_Int_Oint, _u11334), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_fun(_u11334, _u11334)), tc_fun(tc_Int_Oint, _u11334)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u11334, _u11334), _u11334), tc_fun(tc_fun(tc_Int_Oint, tc_fun(_u11334, _u11334)), tc_fun(tc_Int_Oint, _u11334)), tc_Int_Oint), c_COMBB(tc_fun(_u11334, _u11334), _u11334, tc_Int_Oint)), hAPP(hAPP(c_COMBB(_u11334, tc_fun(tc_fun(_u11334, _u11334), _u11334), tc_Int_Oint), c_HOL_OLet(_u11334, _u11334)), c_Int_Oring__1__class_Oof__int(_u11334)))), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_fun(_u11334, _u11334), tc_fun(_u11334, _u11334)), hAPP(hAPP(c_COMBB(tc_fun(_u11334, tc_fun(_u11334, _u11334)), tc_fun(tc_fun(_u11334, _u11334), tc_fun(_u11334, _u11334)), tc_Int_Oint), c_COMBS(_u11334, _u11334, _u11334)), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_fun(_u11334, _u11334), tc_fun(_u11334, tc_fun(_u11334, _u11334))), hAPP(hAPP(c_COMBB(tc_fun(_u11334, tc_fun(_u11334, _u11334)), tc_fun(tc_fun(_u11334, _u11334), tc_fun(_u11334, tc_fun(_u11334, _u11334))), tc_Int_Oint), c_COMBB(_u11334, tc_fun(_u11334, _u11334), _u11334)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u11334, tc_fun(_u11334, _u11334)), tc_Int_Oint), c_If(_u11334)), 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(_u11334, _u11334, _u11334), c_Groups_Oplus__class_Oplus(_u11334)), c_COMBI(_u11334))))), hAPP(hAPP(c_COMBC(_u11334, _u11334, _u11334), hAPP(hAPP(c_COMBB(_u11334, tc_fun(_u11334, _u11334), _u11334), c_Groups_Oplus__class_Oplus(_u11334)), hAPP(hAPP(c_COMBS(_u11334, _u11334, _u11334), c_Groups_Oplus__class_Oplus(_u11334)), c_COMBI(_u11334)))), c_Groups_Oone__class_Oone(_u11334))))), c_Divides_Odivmod__int(_u11335, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_negDivAlg__eqn__1__number__of ( axiom ) converted to clauses:
% 39.89/40.08 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), _u11336))) | ~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), _u11336)))) | ( c_Divides_OnegDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11336)) = 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), _u11336)))) )).
% 39.89/40.08 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), _u11336))) | 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), _u11336)))) | ( c_Divides_OnegDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11336)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11336)), 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), _u11336))))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_rel__simps_I37_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_rel__simps_I37_J-1, axiom, ( ( c_Int_OPls != c_Int_OMin) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_rel__simps_I40_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_rel__simps_I40_J-1, axiom, ( ( c_Int_OMin != c_Int_OPls) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_number__of__eq ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_number__of__eq-1, axiom, ( ~class_Int_Onumber__ring(_u11337) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u11337), _u11338) = hAPP(c_Int_Oring__1__class_Oof__int(_u11337), _u11338)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_int__number__of__def ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_int__number__of__def-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11339) = hAPP(c_Int_Oring__1__class_Oof__int(tc_Int_Oint), _u11339)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_of__int__m1 ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_of__int__m1-1, axiom, ( ~class_Int_Onumber__ring(_u11340) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u11340), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) = hAPP(c_Int_Onumber__class_Onumber__of(_u11340), c_Int_OMin)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_rel__simps_I47_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_rel__simps_I47_J-1, axiom, ( ( c_Int_OBit1(_u11342) != c_Int_OMin) | ( _u11342 = c_Int_OMin) )).
% 39.89/40.08 cnf(fact_rel__simps_I47_J-2, axiom, ( ( _u11343 != c_Int_OMin) | ( c_Int_OBit1(_u11343) = c_Int_OMin) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_rel__simps_I43_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_rel__simps_I43_J-1, axiom, ( ( c_Int_OMin != c_Int_OBit1(_u11345)) | ( c_Int_OMin = _u11345) )).
% 39.89/40.08 cnf(fact_rel__simps_I43_J-2, axiom, ( ( c_Int_OMin != _u11346) | ( c_Int_OMin = c_Int_OBit1(_u11346)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_Bit1__Min ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_Bit1__Min-1, axiom, ( ( c_Int_OBit1(c_Int_OMin) = c_Int_OMin) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_of__int__int__eq ( axiom ) converted to clauses:
% 39.89/40.08 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), _u11347)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u11347)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_of__int__eq__iff ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_of__int__eq__iff-1, axiom, ( ~class_Int_Oring__char__0(_u11348) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u11348), _u11349) != hAPP(c_Int_Oring__1__class_Oof__int(_u11348), _u11350)) | ( _u11349 = _u11350) )).
% 39.89/40.08 cnf(fact_of__int__eq__iff-2, axiom, ( ~class_Int_Oring__char__0(_u11348) | ( _u11349 != _u11350) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u11348), _u11349) = hAPP(c_Int_Oring__1__class_Oof__int(_u11348), _u11350)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_rel__simps_I7_J ( axiom ) converted to clauses:
% 39.89/40.08 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)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_rel__simps_I24_J ( axiom ) converted to clauses:
% 39.89/40.08 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)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_rel__simps_I45_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_rel__simps_I45_J-1, axiom, ( ( c_Int_OBit0(_u11351) != c_Int_OMin) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_rel__simps_I42_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_rel__simps_I42_J-1, axiom, ( ( c_Int_OMin != c_Int_OBit0(_u11352)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_bin__less__0__simps_I2_J ( axiom ) converted to clauses:
% 39.89/40.08 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))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_rel__simps_I23_J ( axiom ) converted to clauses:
% 39.89/40.08 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)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_rel__simps_I20_J ( axiom ) converted to clauses:
% 39.89/40.08 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)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_rel__simps_I26_J ( axiom ) converted to clauses:
% 39.89/40.08 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(_u11354))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), _u11354)) )).
% 39.89/40.08 cnf(fact_rel__simps_I26_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), _u11355)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u11355))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_rel__simps_I30_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_rel__simps_I30_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u11357)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11357), c_Int_OMin)) )).
% 39.89/40.08 cnf(fact_rel__simps_I30_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11358), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u11358)), c_Int_OMin)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_rel__simps_I3_J ( axiom ) converted to clauses:
% 39.89/40.08 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)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_rel__simps_I6_J ( axiom ) converted to clauses:
% 39.89/40.08 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)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_rel__simps_I13_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_rel__simps_I13_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u11360)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11360), c_Int_OMin)) )).
% 39.89/40.08 cnf(fact_rel__simps_I13_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11361), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u11361)), c_Int_OMin)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_rel__simps_I9_J ( axiom ) converted to clauses:
% 39.89/40.08 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(_u11363))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u11363)) )).
% 39.89/40.08 cnf(fact_rel__simps_I9_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u11364)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u11364))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_rel__simps_I28_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_rel__simps_I28_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u11366)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11366), c_Int_OMin)) )).
% 39.89/40.08 cnf(fact_rel__simps_I28_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11367), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u11367)), c_Int_OMin)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_rel__simps_I8_J ( axiom ) converted to clauses:
% 39.89/40.08 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(_u11369))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u11369)) )).
% 39.89/40.08 cnf(fact_rel__simps_I8_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u11370)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u11370))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_eq__number__of__Pls__Min ( axiom ) converted to clauses:
% 39.89/40.08 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)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_Int_OMin__def ( axiom ) converted to clauses:
% 39.89/40.08 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))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_mult__Min ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_mult__Min-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OMin), _u11371) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11371)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_neg__number__of__Min ( axiom ) converted to clauses:
% 39.89/40.08 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))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_of__int__0 ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_of__int__0-1, axiom, ( ~class_Rings_Oring__1(_u11372) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u11372), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(_u11372)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_of__int__0__eq__iff ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_of__int__0__eq__iff-1, axiom, ( ~class_Int_Oring__char__0(_u11373) | ( c_Groups_Ozero__class_Ozero(_u11373) != hAPP(c_Int_Oring__1__class_Oof__int(_u11373), _u11374)) | ( _u11374 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 39.89/40.08 cnf(fact_of__int__0__eq__iff-2, axiom, ( ~class_Int_Oring__char__0(_u11373) | ( _u11374 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Groups_Ozero__class_Ozero(_u11373) = hAPP(c_Int_Oring__1__class_Oof__int(_u11373), _u11374)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_of__int__eq__0__iff ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_of__int__eq__0__iff-1, axiom, ( ~class_Int_Oring__char__0(_u11375) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u11375), _u11376) != c_Groups_Ozero__class_Ozero(_u11375)) | ( _u11376 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 39.89/40.08 cnf(fact_of__int__eq__0__iff-2, axiom, ( ~class_Int_Oring__char__0(_u11375) | ( _u11376 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u11375), _u11376) = c_Groups_Ozero__class_Ozero(_u11375)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_of__int__le__iff ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_of__int__le__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u11377) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11377), hAPP(c_Int_Oring__1__class_Oof__int(_u11377), _u11378)), hAPP(c_Int_Oring__1__class_Oof__int(_u11377), _u11379))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11378), _u11379)) )).
% 39.89/40.08 cnf(fact_of__int__le__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u11377) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11378), _u11379)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11377), hAPP(c_Int_Oring__1__class_Oof__int(_u11377), _u11378)), hAPP(c_Int_Oring__1__class_Oof__int(_u11377), _u11379))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_of__int__less__iff ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_of__int__less__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u11380) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11380), hAPP(c_Int_Oring__1__class_Oof__int(_u11380), _u11381)), hAPP(c_Int_Oring__1__class_Oof__int(_u11380), _u11382))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11381), _u11382)) )).
% 39.89/40.08 cnf(fact_of__int__less__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u11380) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11381), _u11382)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11380), hAPP(c_Int_Oring__1__class_Oof__int(_u11380), _u11381)), hAPP(c_Int_Oring__1__class_Oof__int(_u11380), _u11382))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_nonzero__number__of__Min ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_nonzero__number__of__Min-1, axiom, ( ~class_Int_Onumber__ring(_u11383) | ~c_Int_Oiszero(_u11383, hAPP(c_Int_Onumber__class_Onumber__of(_u11383), c_Int_OMin)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_of__int__add ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_of__int__add-1, axiom, ( ~class_Rings_Oring__1(_u11384) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u11384), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11385), _u11386)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11384), hAPP(c_Int_Oring__1__class_Oof__int(_u11384), _u11385)), hAPP(c_Int_Oring__1__class_Oof__int(_u11384), _u11386))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_of__int__number__of__eq ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_of__int__number__of__eq-1, axiom, ( ~class_Int_Onumber__ring(_u11387) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u11387), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11388)) = hAPP(c_Int_Onumber__class_Onumber__of(_u11387), _u11388)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_of__int__mult ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_of__int__mult-1, axiom, ( ~class_Rings_Oring__1(_u11389) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u11389), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u11390), _u11391)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11389), hAPP(c_Int_Oring__1__class_Oof__int(_u11389), _u11390)), hAPP(c_Int_Oring__1__class_Oof__int(_u11389), _u11391))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_succ__Min ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_succ__Min-1, axiom, ( ( c_Int_Osucc(c_Int_OMin) = c_Int_OPls) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_of__int__1 ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_of__int__1-1, axiom, ( ~class_Rings_Oring__1(_u11392) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u11392), c_Groups_Oone__class_Oone(tc_Int_Oint)) = c_Groups_Oone__class_Oone(_u11392)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_of__int__diff ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_of__int__diff-1, axiom, ( ~class_Rings_Oring__1(_u11393) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u11393), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11394), _u11395)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11393), hAPP(c_Int_Oring__1__class_Oof__int(_u11393), _u11394)), hAPP(c_Int_Oring__1__class_Oof__int(_u11393), _u11395))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_diff__bin__simps_I2_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_diff__bin__simps_I2_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11396), c_Int_OMin) = c_Int_Osucc(_u11396)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_of__int__of__nat__eq ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_of__int__of__nat__eq-1, axiom, ( ~class_Rings_Oring__1(_u11397) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u11397), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u11398)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u11397), _u11398)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_of__int__minus ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_of__int__minus-1, axiom, ( ~class_Rings_Oring__1(_u11399) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u11399), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11400)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u11399), hAPP(c_Int_Oring__1__class_Oof__int(_u11399), _u11400))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_Ints__of__int ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_Ints__of__int-1, axiom, ( ~class_Rings_Oring__1(_u11401) | hBOOL(hAPP(hAPP(c_member(_u11401), hAPP(c_Int_Oring__1__class_Oof__int(_u11401), _u11402)), c_Int_Oring__1__class_OInts(_u11401))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_of__int__power ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_of__int__power-1, axiom, ( ~class_Rings_Oring__1(_u11403) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u11403), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u11404), _u11405)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u11403), hAPP(c_Int_Oring__1__class_Oof__int(_u11403), _u11404)), _u11405)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_mult__minus1 ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_mult__minus1-1, axiom, ( ~class_Int_Onumber__ring(_u11406) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11406), hAPP(c_Int_Onumber__class_Onumber__of(_u11406), c_Int_OMin)), _u11407) = hAPP(c_Groups_Ouminus__class_Ouminus(_u11406), _u11407)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_mult__minus1__right ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_mult__minus1__right-1, axiom, ( ~class_Int_Onumber__ring(_u11408) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11408), _u11409), hAPP(c_Int_Onumber__class_Onumber__of(_u11408), c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u11408), _u11409)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_number__of__Min ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_number__of__Min-1, axiom, ( ~class_Int_Onumber__ring(_u11410) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u11410), c_Int_OMin) = hAPP(c_Groups_Ouminus__class_Ouminus(_u11410), c_Groups_Oone__class_Oone(_u11410))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_arith__simps_I31_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_arith__simps_I31_J-1, axiom, ( ~class_Int_Onumber__ring(_u11411) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u11411), c_Groups_Oone__class_Oone(_u11411)) = hAPP(c_Int_Onumber__class_Onumber__of(_u11411), c_Int_OMin)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_rel__simps_I11_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_rel__simps_I11_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u11413)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11413), c_Int_OMin)) )).
% 39.89/40.08 cnf(fact_rel__simps_I11_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11414), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u11414)), c_Int_OMin)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_rel__simps_I25_J ( axiom ) converted to clauses:
% 39.89/40.08 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(_u11416))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u11416)) )).
% 39.89/40.08 cnf(fact_rel__simps_I25_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u11417)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u11417))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_zmod__minus1__right ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_zmod__minus1__right-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u11418, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_diff__bin__simps_I4_J ( axiom ) converted to clauses:
% 39.89/40.08 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(_u11419)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), _u11419))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_minus__Min ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_minus__Min-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OMin) = c_Int_OBit1(c_Int_OPls)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_zmult__eq__1__iff ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_zmult__eq__1__iff-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u11422), _u11424) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u11422 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u11422 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 39.89/40.08 cnf(fact_zmult__eq__1__iff-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u11422), _u11424) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u11422 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u11424 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 39.89/40.08 cnf(fact_zmult__eq__1__iff-3, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u11422), _u11424) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u11424 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u11422 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 39.89/40.08 cnf(fact_zmult__eq__1__iff-4, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u11422), _u11424) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u11424 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u11424 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 39.89/40.08 cnf(fact_zmult__eq__1__iff-5, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u11423), _u11425) = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u11423 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u11425 != c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 39.89/40.08 cnf(fact_zmult__eq__1__iff-6, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u11423), _u11425) = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u11423 != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) | ( _u11425 != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_pos__zmult__eq__1__iff__lemma ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_pos__zmult__eq__1__iff__lemma-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u11426), _u11427) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u11426 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u11426 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_diff__bin__simps_I5_J ( axiom ) converted to clauses:
% 39.89/40.08 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(_u11428)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), _u11428))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_diff__bin__simps_I6_J ( axiom ) converted to clauses:
% 39.89/40.08 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(_u11429)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), _u11429))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_zdiv__minus1__right ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_zdiv__minus1__right-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u11430), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11430)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_of__int__setsum ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_of__int__setsum-1, axiom, ( ~class_Rings_Oring__1(_u11431) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u11431), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11432, tc_Int_Oint), _u11433), _u11434)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11432, _u11431), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u11431, _u11432), c_Int_Oring__1__class_Oof__int(_u11431)), _u11433)), _u11434)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_of__int__setprod ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_of__int__setprod-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u11435) | ~class_Rings_Oring__1(_u11435) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u11435), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11436, tc_Int_Oint), _u11437), _u11438)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11436, _u11435), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u11435, _u11436), c_Int_Oring__1__class_Oof__int(_u11435)), _u11437)), _u11438)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_div__eq__minus1 ( axiom ) converted to clauses:
% 39.89/40.08 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)), _u11439)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)), _u11439) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_of__int__le__0__iff ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_of__int__le__0__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u11440) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11440), hAPP(c_Int_Oring__1__class_Oof__int(_u11440), _u11441)), c_Groups_Ozero__class_Ozero(_u11440))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11441), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.89/40.08 cnf(fact_of__int__le__0__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u11440) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11441), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11440), hAPP(c_Int_Oring__1__class_Oof__int(_u11440), _u11441)), c_Groups_Ozero__class_Ozero(_u11440))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_of__int__0__le__iff ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_of__int__0__le__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u11442) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11442), c_Groups_Ozero__class_Ozero(_u11442)), hAPP(c_Int_Oring__1__class_Oof__int(_u11442), _u11443))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11443)) )).
% 39.89/40.08 cnf(fact_of__int__0__le__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u11442) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11443)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11442), c_Groups_Ozero__class_Ozero(_u11442)), hAPP(c_Int_Oring__1__class_Oof__int(_u11442), _u11443))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_of__int__0__less__iff ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_of__int__0__less__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u11444) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11444), c_Groups_Ozero__class_Ozero(_u11444)), hAPP(c_Int_Oring__1__class_Oof__int(_u11444), _u11445))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11445)) )).
% 39.89/40.08 cnf(fact_of__int__0__less__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u11444) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11445)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11444), c_Groups_Ozero__class_Ozero(_u11444)), hAPP(c_Int_Oring__1__class_Oof__int(_u11444), _u11445))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_of__int__less__0__iff ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_of__int__less__0__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u11446) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11446), hAPP(c_Int_Oring__1__class_Oof__int(_u11446), _u11447)), c_Groups_Ozero__class_Ozero(_u11446))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11447), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.89/40.08 cnf(fact_of__int__less__0__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u11446) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11447), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11446), hAPP(c_Int_Oring__1__class_Oof__int(_u11446), _u11447)), c_Groups_Ozero__class_Ozero(_u11446))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_of__nat__nat ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_of__nat__nat-1, axiom, ( ~class_Rings_Oring__1(_u11448) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11449)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u11448), hAPP(c_Int_Onat, _u11449)) = hAPP(c_Int_Oring__1__class_Oof__int(_u11448), _u11449)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_negDivAlg__minus1 ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_negDivAlg__minus1-1, axiom, ( ( c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin), _u11450) = 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), _u11450), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_div__pos__neg__trivial ( axiom ) converted to clauses:
% 39.89/40.08 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)), _u11451)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11451), _u11452)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u11451), _u11452) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_zmod__minus1 ( axiom ) converted to clauses:
% 39.89/40.08 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)), _u11453)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin), _u11453) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11453), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_of__int__of__nat ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_of__int__of__nat-1, axiom, ( ~class_Rings_Oring__1(_u11454) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11455), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u11454), _u11455) = hAPP(c_Groups_Ouminus__class_Ouminus(_u11454), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u11454), hAPP(c_Int_Onat, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11455))))) )).
% 39.89/40.08 cnf(fact_of__int__of__nat-2, axiom, ( ~class_Rings_Oring__1(_u11454) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11455), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u11454), _u11455) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u11454), hAPP(c_Int_Onat, _u11455))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_power__m1__even ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_power__m1__even-1, axiom, ( ~class_Int_Onumber__ring(_u11456) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11456), hAPP(c_Int_Onumber__class_Onumber__of(_u11456), 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)))), _u11457)) = c_Groups_Oone__class_Oone(_u11456)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_power__m1__odd ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_power__m1__odd-1, axiom, ( ~class_Int_Onumber__ring(_u11458) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11458), hAPP(c_Int_Onumber__class_Onumber__of(_u11458), 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)))), _u11459))) = hAPP(c_Int_Onumber__class_Onumber__of(_u11458), c_Int_OMin)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_negDivAlg_Osimps ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_negDivAlg_Osimps-1, axiom, ( ( c_Divides_OnegDivAlg(_u11462, _u11464) = 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), _u11462), _u11464))) | ~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), _u11462), _u11464))) )).
% 39.89/40.08 cnf(fact_negDivAlg_Osimps-2, axiom, ( ( c_Divides_OnegDivAlg(_u11462, _u11464) = 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), _u11462), _u11464))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11464), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.89/40.08 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), _u11463), _u11465))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11465), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OnegDivAlg(_u11463, _u11465) = hAPP(c_Divides_Oadjust(_u11465), c_Divides_OnegDivAlg(_u11463, 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)))), _u11465)))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_negDivAlg__eqn__number__of ( axiom ) converted to clauses:
% 39.89/40.08 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), _u11466))) | ~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), _u11467)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11466)))) | ( c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11467), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11466)) = 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), _u11467)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11466)))) )).
% 39.89/40.08 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), _u11466))) | 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), _u11467)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11466)))) | ( c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11467), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11466)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11466)), c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11467), 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), _u11466))))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_negDivAlg__eqn ( axiom ) converted to clauses:
% 39.89/40.08 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)), _u11468)) | ~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), _u11469), _u11468))) | ( c_Divides_OnegDivAlg(_u11469, _u11468) = 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), _u11469), _u11468))) )).
% 39.89/40.08 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)), _u11468)) | 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), _u11469), _u11468))) | ( c_Divides_OnegDivAlg(_u11469, _u11468) = hAPP(c_Divides_Oadjust(_u11468), c_Divides_OnegDivAlg(_u11469, 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)))), _u11468)))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_negDivAlg_Opsimps ( axiom ) converted to clauses:
% 39.89/40.08 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), _u11470), _u11471))) | ( c_Divides_OnegDivAlg(_u11470, _u11471) = 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), _u11470), _u11471))) | ~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), _u11470), _u11471))) )).
% 39.89/40.08 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), _u11470), _u11471))) | ( c_Divides_OnegDivAlg(_u11470, _u11471) = 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), _u11470), _u11471))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11471), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.89/40.08 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), _u11470), _u11471))) | 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), _u11470), _u11471))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11471), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OnegDivAlg(_u11470, _u11471) = hAPP(c_Divides_Oadjust(_u11471), c_Divides_OnegDivAlg(_u11470, 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)))), _u11471)))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_posDivAlg_Opinduct ( axiom ) converted to clauses:
% 39.89/40.08 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), _u11474), _u11475))) | hBOOL(hAPP(hAPP(_u11476, _u11474), _u11475)) | 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), skolem212(_u11476, _u11475, _u11474)), skolem213(_u11476, _u11475, _u11474)))) )).
% 39.89/40.08 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), _u11474), _u11475))) | hBOOL(hAPP(hAPP(_u11476, _u11474), _u11475)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem212(_u11476, _u11475, _u11474)), skolem213(_u11476, _u11475, _u11474))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem213(_u11476, _u11475, _u11474)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u11476, skolem212(_u11476, _u11475, _u11474)), 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)))), skolem213(_u11476, _u11475, _u11474)))) )).
% 39.89/40.08 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), _u11474), _u11475))) | hBOOL(hAPP(hAPP(_u11476, _u11474), _u11475)) | ~hBOOL(hAPP(hAPP(_u11476, skolem212(_u11476, _u11475, _u11474)), skolem213(_u11476, _u11475, _u11474))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_int__of__code ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_int__of__code-1, axiom, ( ( _u11478 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_Code__Numeral_Oint__of, _u11478) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 39.89/40.08 cnf(fact_int__of__code-2, axiom, ( ( _u11479 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u11479, 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, _u11479) = 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), _u11479), hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) )).
% 39.89/40.08 cnf(fact_int__of__code-3, axiom, ( ( _u11479 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u11479, 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, _u11479) = 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), _u11479), 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))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_code__numeral__zero__minus__one ( axiom ) converted to clauses:
% 39.89/40.08 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)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_zero__code__numeral__code ( axiom ) converted to clauses:
% 39.89/40.08 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)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_one__code__numeral__code ( axiom ) converted to clauses:
% 39.89/40.08 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))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_div__mod__code__numeral__def ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_div__mod__code__numeral__def-1, axiom, ( ( c_Code__Numeral_Odiv__mod__code__numeral(_u11480, _u11481) = 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), _u11480), _u11481)), c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u11480, _u11481))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_negDivAlg_Opinduct ( axiom ) converted to clauses:
% 39.89/40.08 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), _u11484), _u11485))) | hBOOL(hAPP(hAPP(_u11486, _u11484), _u11485)) | 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), skolem214(_u11486, _u11485, _u11484)), skolem215(_u11486, _u11485, _u11484)))) )).
% 39.89/40.08 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), _u11484), _u11485))) | hBOOL(hAPP(hAPP(_u11486, _u11484), _u11485)) | 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), skolem214(_u11486, _u11485, _u11484)), skolem215(_u11486, _u11485, _u11484)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem215(_u11486, _u11485, _u11484)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u11486, skolem214(_u11486, _u11485, _u11484)), 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)))), skolem215(_u11486, _u11485, _u11484)))) )).
% 39.89/40.08 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), _u11484), _u11485))) | hBOOL(hAPP(hAPP(_u11486, _u11484), _u11485)) | ~hBOOL(hAPP(hAPP(_u11486, skolem214(_u11486, _u11485, _u11484)), skolem215(_u11486, _u11485, _u11484))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_small__int__def ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_small__int__def-1, axiom, ( ( hAPP(hAPP(c_Smallcheck_Osmall__class_Osmall(tc_Int_Oint), _u11487), _u11488) = c_Smallcheck_Osmall_H(_u11487, hAPP(c_Code__Numeral_Oint__of, _u11488), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Code__Numeral_Oint__of, _u11488)))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_small__prod__def ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_small__prod__def-1, axiom, ( ~class_Smallcheck_Osmall(_u11489) | ~class_Smallcheck_Osmall(_u11490) | ( hAPP(hAPP(c_Smallcheck_Osmall__class_Osmall(tc_prod(_u11490, _u11489)), _u11491), _u11492) = hAPP(hAPP(c_Smallcheck_Osmall__class_Osmall(_u11490), hAPP(hAPP(c_COMBC(_u11490, tc_Code__Numeral_Ocode__numeral, tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))), hAPP(hAPP(c_COMBB(tc_fun(_u11489, tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))), _u11490), c_Smallcheck_Osmall__class_Osmall(_u11489)), hAPP(hAPP(c_COMBB(tc_fun(_u11489, tc_prod(_u11490, _u11489)), tc_fun(_u11489, tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))), _u11490), hAPP(c_COMBB(tc_prod(_u11490, _u11489), tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm)), _u11489), _u11491)), c_Product__Type_OPair(_u11490, _u11489)))), _u11492)), _u11492)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_nat__of__aux__code ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_nat__of__aux__code-1, axiom, ( ( _u11495 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Code__Numeral_Onat__of__aux(_u11495, _u11497) = _u11497) )).
% 39.89/40.08 cnf(fact_nat__of__aux__code-2, axiom, ( ( _u11496 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Code__Numeral_Onat__of__aux(_u11496, _u11498) = c_Code__Numeral_Onat__of__aux(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u11496), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)), hAPP(c_Nat_OSuc, _u11498))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_min__number__of__Suc ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_min__number__of__Suc-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11499)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11500)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u11500))), 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), _u11499)), c_Int_Onat))))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_min__Suc__number__of ( axiom ) converted to clauses:
% 39.89/40.08 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), _u11501)), hAPP(c_Nat_OSuc, _u11502)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u11501))), 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)), _u11502))))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_succ__pred ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_succ__pred-1, axiom, ( ( c_Int_Osucc(c_Int_Opred(_u11503)) = _u11503) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_le__iff__pred__less ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_le__iff__pred__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11506), _u11508)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_Opred(_u11506)), _u11508)) )).
% 39.89/40.08 cnf(fact_le__iff__pred__less-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_Opred(_u11507)), _u11509)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11507), _u11509)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_pred__Bit1 ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_pred__Bit1-1, axiom, ( ( c_Int_Opred(c_Int_OBit1(_u11510)) = c_Int_OBit0(_u11510)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_pred__Bit0 ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_pred__Bit0-1, axiom, ( ( c_Int_Opred(c_Int_OBit0(_u11511)) = c_Int_OBit1(c_Int_Opred(_u11511))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_minus__Bit1 ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_minus__Bit1-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(_u11512)) = c_Int_OBit1(c_Int_Opred(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11512)))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_pred__Pls ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_pred__Pls-1, axiom, ( ( c_Int_Opred(c_Int_OPls) = c_Int_OMin) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_pred__def ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_pred__def-1, axiom, ( ( c_Int_Opred(_u11513) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11513), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_add__Min ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_add__Min-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OMin), _u11514) = c_Int_Opred(_u11514)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_add__Min__right ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_add__Min__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11515), c_Int_OMin) = c_Int_Opred(_u11515)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_pred__Min ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_pred__Min-1, axiom, ( ( c_Int_Opred(c_Int_OMin) = c_Int_OBit0(c_Int_OMin)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_diff__bin__simps_I8_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_diff__bin__simps_I8_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit0(_u11516)), c_Int_OBit1(_u11517)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_Opred(_u11516)), _u11517))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_number__of__pred ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_number__of__pred-1, axiom, ( ~class_Int_Onumber__ring(_u11518) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u11518), c_Int_Opred(_u11519)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11518), hAPP(c_Groups_Ouminus__class_Ouminus(_u11518), c_Groups_Oone__class_Oone(_u11518))), hAPP(c_Int_Onumber__class_Onumber__of(_u11518), _u11519))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_neg__number__of__pred__iff__0 ( axiom ) converted to clauses:
% 39.89/40.08 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(_u11521)))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11521) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.08 cnf(fact_neg__number__of__pred__iff__0-2, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11522) != 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(_u11522)))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_Suc__diff__number__of ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_Suc__diff__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u11523)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11524)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11523)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u11524), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Opred(_u11523)))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_Suc__eq__number__of ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_Suc__eq__number__of-1, axiom, ( ( hAPP(c_Nat_OSuc, _u11527) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11529)) | 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(_u11529))), 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)), _u11527))))) )).
% 39.89/40.08 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(_u11530))), 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)), _u11528))))) | ( hAPP(c_Nat_OSuc, _u11528) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11530)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_eq__number__of__Suc ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_eq__number__of__Suc-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11533) != hAPP(c_Nat_OSuc, _u11535)) | 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(_u11533))), 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)), _u11535))))) )).
% 39.89/40.08 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(_u11534))), 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)), _u11536))))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11534) = hAPP(c_Nat_OSuc, _u11536)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_nat__number__of__diff__1 ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_nat__number__of__diff__1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11538), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11538)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.08 cnf(fact_nat__number__of__diff__1-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11539), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11539)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Opred(_u11539))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_less__number__of__Suc ( axiom ) converted to clauses:
% 39.89/40.08 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), _u11542)), hAPP(c_Nat_OSuc, _u11544))) | 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(_u11542))), 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)), _u11544)))) )).
% 39.89/40.08 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(_u11543))), 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)), _u11545)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11543)), hAPP(c_Nat_OSuc, _u11545))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_less__Suc__number__of ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_less__Suc__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11548)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11550))) | 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(_u11550))), 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), _u11548)), c_Int_Onat))))) )).
% 39.89/40.08 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(_u11551))), 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), _u11549)), c_Int_Onat))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11549)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11551))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_le__Suc__number__of ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_le__Suc__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11554)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11556))) | 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(_u11556))), 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), _u11554)), c_Int_Onat))))) )).
% 39.89/40.08 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(_u11557))), 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), _u11555)), c_Int_Onat))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11555)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11557))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_le__number__of__Suc ( axiom ) converted to clauses:
% 39.89/40.08 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), _u11560)), hAPP(c_Nat_OSuc, _u11562))) | 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(_u11560))), 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)), _u11562)))) )).
% 39.89/40.08 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(_u11561))), 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)), _u11563)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11561)), hAPP(c_Nat_OSuc, _u11563))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_max__number__of__Suc ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_max__number__of__Suc-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11564)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11565)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u11565))), 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, _u11564))), 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), _u11564)), c_Int_Onat))))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_max__Suc__number__of ( axiom ) converted to clauses:
% 39.89/40.08 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), _u11566)), hAPP(c_Nat_OSuc, _u11567)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u11566))), 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, _u11567))), 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)), _u11567))))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_nat__case__add__eq__if ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_nat__case__add__eq__if-1, axiom, ( ( c_Nat_Onat_Onat__case(_u11568, _u11569, _u11570, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11571)), _u11572)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u11568), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u11571))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u11568, _u11568), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u11568, tc_fun(_u11568, _u11568)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u11568, tc_fun(_u11568, _u11568)), tc_Int_Oint), c_If(_u11568)), c_Nat__Numeral_Oneg)), c_Nat_Onat_Onat__case(_u11568, _u11569, _u11570, _u11572))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u11568, tc_Int_Oint), _u11570), 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)), _u11572))))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_nat__case__number__of ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_nat__case__number__of-1, axiom, ( ( c_Nat_Onat_Onat__case(_u11573, _u11574, _u11575, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11576)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u11573), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u11576))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u11573, _u11573), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u11573, tc_fun(_u11573, _u11573)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u11573, tc_fun(_u11573, _u11573)), tc_Int_Oint), c_If(_u11573)), c_Nat__Numeral_Oneg)), _u11574)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u11573, tc_Int_Oint), _u11575), c_Int_Onat)))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_nat__rec__add__eq__if ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_nat__rec__add__eq__if-1, axiom, ( ( hAPP(c_Nat_Onat_Onat__rec(_u11577, _u11578, _u11579), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11580)), _u11581)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u11577), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u11580))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u11577, _u11577), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u11577, tc_fun(_u11577, _u11577)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u11577, tc_fun(_u11577, _u11577)), tc_Int_Oint), c_If(_u11577)), c_Nat__Numeral_Oneg)), hAPP(c_Nat_Onat_Onat__rec(_u11577, _u11578, _u11579), _u11581))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u11577, _u11577), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u11577, _u11577), tc_Int_Oint), _u11579), 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)), _u11581))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u11577, tc_Int_Oint), c_Nat_Onat_Onat__rec(_u11577, _u11578, _u11579)), 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)), _u11581)))))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_nat__rec__0 ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_nat__rec__0-1, axiom, ( ( hAPP(c_Nat_Onat_Onat__rec(_u11582, _u11583, _u11584), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u11583) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_nat__rec__Suc ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_nat__rec__Suc-1, axiom, ( ( hAPP(c_Nat_Onat_Onat__rec(_u11585, _u11586, _u11587), hAPP(c_Nat_OSuc, _u11588)) = hAPP(hAPP(_u11587, _u11588), hAPP(c_Nat_Onat_Onat__rec(_u11585, _u11586, _u11587), _u11588))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_nat__case__0 ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_nat__case__0-1, axiom, ( ( c_Nat_Onat_Onat__case(_u11589, _u11590, _u11591, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u11590) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_nat__case__Suc ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_nat__case__Suc-1, axiom, ( ( c_Nat_Onat_Onat__case(_u11592, _u11593, _u11594, hAPP(c_Nat_OSuc, _u11595)) = hAPP(_u11594, _u11595)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_max__Suc1 ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_max__Suc1-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11596)), _u11597) = c_Nat_Onat_Onat__case(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u11596), 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), _u11596)), _u11597)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_max__Suc2 ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_max__Suc2-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u11598), hAPP(c_Nat_OSuc, _u11599)) = c_Nat_Onat_Onat__case(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u11599), 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)), _u11599)), _u11598)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_less__eq__nat_Osimps_I2_J ( axiom ) converted to clauses:
% 39.89/40.08 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, _u11602)), _u11604)) | hBOOL(c_Nat_Onat_Onat__case(tc_HOL_Obool, c_fFalse, hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11602), _u11604)) )).
% 39.89/40.08 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), _u11603), _u11605)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11603)), _u11605)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_diff__Suc ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_diff__Suc-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u11606), hAPP(c_Nat_OSuc, _u11607)) = 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), _u11606), _u11607))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_min__Suc1 ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_min__Suc1-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11608)), _u11609) = 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), _u11608)), _u11609)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_min__Suc2 ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_min__Suc2-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u11610), hAPP(c_Nat_OSuc, _u11611)) = 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)), _u11611)), _u11610)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_nat__rec__number__of ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_nat__rec__number__of-1, axiom, ( ( hAPP(c_Nat_Onat_Onat__rec(_u11612, _u11613, _u11614), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11615)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u11612), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u11615))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u11612, _u11612), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u11612, tc_fun(_u11612, _u11612)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u11612, tc_fun(_u11612, _u11612)), tc_Int_Oint), c_If(_u11612)), c_Nat__Numeral_Oneg)), _u11613)), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u11612, _u11612), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u11612, _u11612), tc_Int_Oint), _u11614), c_Int_Onat)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u11612, tc_Int_Oint), c_Nat_Onat_Onat__rec(_u11612, _u11613, _u11614)), c_Int_Onat))))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_transfer__int__nat__set__relations_I2_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_transfer__int__nat__set__relations_I2_J-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u11616) | ~c_Nat__Transfer_Onat__set(_u11617) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u11616), _u11617)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), hAPP(c_Int_Onat, _u11616)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u11617))) )).
% 39.89/40.08 cnf(fact_transfer__int__nat__set__relations_I2_J-2, axiom, ( ~c_Nat__Transfer_Ois__nat(_u11616) | ~c_Nat__Transfer_Onat__set(_u11617) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), hAPP(c_Int_Onat, _u11616)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u11617))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u11616), _u11617)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_full__small__int__def ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_full__small__int__def-1, axiom, ( ( c_Smallcheck_Ofull__small__class_Ofull__small(tc_Int_Oint, _u11618, _u11619) = c_Smallcheck_Ofull__small_H(_u11618, hAPP(c_Code__Numeral_Oint__of, _u11619), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Code__Numeral_Oint__of, _u11619)))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_setprod_Ounion__inter__neutral ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_setprod_Ounion__inter__neutral-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u11621) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11622), _u11623)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11622), _u11624)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11622, _u11621), _u11625), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11622, tc_HOL_Obool)), _u11623), _u11624)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11621), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11622, _u11621), _u11625), _u11623)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11622, _u11621), _u11625), _u11624))) | hBOOL(hAPP(hAPP(c_member(_u11622), skolem216(_u11625, _u11624, _u11623, _u11622, _u11621)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11622, tc_HOL_Obool)), _u11623), _u11624))) )).
% 39.89/40.08 cnf(fact_setprod_Ounion__inter__neutral-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u11621) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11622), _u11623)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11622), _u11624)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11622, _u11621), _u11625), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11622, tc_HOL_Obool)), _u11623), _u11624)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11621), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11622, _u11621), _u11625), _u11623)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11622, _u11621), _u11625), _u11624))) | ( hAPP(_u11625, skolem216(_u11625, _u11624, _u11623, _u11622, _u11621)) != c_Groups_Oone__class_Oone(_u11621)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I6_J ( axiom ) converted to clauses:
% 39.89/40.08 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)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I1_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I1_J-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u11626) | ~c_Nat__Transfer_Ois__nat(_u11627) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11626), _u11627)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I2_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I2_J-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u11628) | ~c_Nat__Transfer_Ois__nat(_u11629) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u11628), _u11629)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I9_J ( axiom ) converted to clauses:
% 39.89/40.08 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), _u11630)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_Divides_Otransfer__int__nat__function__closures_I2_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_Divides_Otransfer__int__nat__function__closures_I2_J-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u11631) | ~c_Nat__Transfer_Ois__nat(_u11632) | c_Nat__Transfer_Ois__nat(c_Divides_Odiv__class_Omod(tc_Int_Oint, _u11631, _u11632)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_Divides_Otransfer__int__nat__function__closures_I1_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_Divides_Otransfer__int__nat__function__closures_I1_J-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u11633) | ~c_Nat__Transfer_Ois__nat(_u11634) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u11633), _u11634)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I5_J ( axiom ) converted to clauses:
% 39.89/40.08 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)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I4_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I4_J-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u11635) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u11635), _u11636)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I3_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I3_J-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u11637) | ~c_Nat__Transfer_Ois__nat(_u11638) | c_Nat__Transfer_Ois__nat(c_Nat__Transfer_Otsub(_u11637, _u11638)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_is__nat__def ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_is__nat__def-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u11640) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11640)) )).
% 39.89/40.08 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)), _u11641)) | c_Nat__Transfer_Ois__nat(_u11641) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I6_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I6_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u11642) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u11643), _u11642)) | c_Nat__Transfer_Ois__nat(_u11643) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I8_J ( axiom ) converted to clauses:
% 39.89/40.08 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)))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I7_J ( axiom ) converted to clauses:
% 39.89/40.08 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)))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_transfer__int__nat__sum__prod2_I2_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_transfer__int__nat__sum__prod2_I2_J-1, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11645, tc_Int_Oint), _u11647), _u11646) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11645, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u11645), c_Int_Onat), _u11647)), _u11646))) | hBOOL(hAPP(hAPP(c_member(_u11645), skolem217(_u11647, _u11646, _u11645)), _u11646)) )).
% 39.89/40.08 cnf(fact_transfer__int__nat__sum__prod2_I2_J-2, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11645, tc_Int_Oint), _u11647), _u11646) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11645, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u11645), c_Int_Onat), _u11647)), _u11646))) | ~c_Nat__Transfer_Ois__nat(hAPP(_u11647, skolem217(_u11647, _u11646, _u11645))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_transfer__int__nat__sum__prod2_I1_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_transfer__int__nat__sum__prod2_I1_J-1, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11649, tc_Int_Oint), _u11651), _u11650) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11649, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u11649), c_Int_Onat), _u11651)), _u11650))) | hBOOL(hAPP(hAPP(c_member(_u11649), skolem218(_u11651, _u11650, _u11649)), _u11650)) )).
% 39.89/40.08 cnf(fact_transfer__int__nat__sum__prod2_I1_J-2, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11649, tc_Int_Oint), _u11651), _u11650) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11649, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u11649), c_Int_Onat), _u11651)), _u11650))) | ~c_Nat__Transfer_Ois__nat(hAPP(_u11651, skolem218(_u11651, _u11650, _u11649))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_setprod__Un__one ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_setprod__Un__one-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u11653) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11654), _u11655)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11654), _u11656)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11654, _u11653), _u11657), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11654, tc_HOL_Obool)), _u11655), _u11656)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11653), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11654, _u11653), _u11657), _u11655)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11654, _u11653), _u11657), _u11656))) | hBOOL(hAPP(hAPP(c_member(_u11654), skolem219(_u11657, _u11656, _u11655, _u11654, _u11653)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11654, tc_HOL_Obool)), _u11655), _u11656))) )).
% 39.89/40.08 cnf(fact_setprod__Un__one-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u11653) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11654), _u11655)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11654), _u11656)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11654, _u11653), _u11657), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11654, tc_HOL_Obool)), _u11655), _u11656)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11653), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11654, _u11653), _u11657), _u11655)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11654, _u11653), _u11657), _u11656))) | ( hAPP(_u11657, skolem219(_u11657, _u11656, _u11655, _u11654, _u11653)) != c_Groups_Oone__class_Oone(_u11653)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_code__numeral_Osize_I1_J ( axiom ) converted to clauses:
% 39.89/40.08 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)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_Nats__number__of ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_Nats__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u11658) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u11659)) | hBOOL(hAPP(hAPP(c_member(_u11658), hAPP(c_Int_Onumber__class_Onumber__of(_u11658), _u11659)), c_Nat_Osemiring__1__class_ONats(_u11658))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_setprod__diff1 ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_setprod__diff1-1, axiom, ( ~class_Fields_Ofield(_u11660) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11661), _u11662)) | ( hAPP(_u11663, _u11664) = c_Groups_Ozero__class_Ozero(_u11660)) | ~hBOOL(hAPP(hAPP(c_member(_u11661), _u11664), _u11662)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11661, _u11660), _u11663), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11661, tc_HOL_Obool)), _u11662), hAPP(hAPP(c_Set_Oinsert(_u11661), _u11664), c_Orderings_Obot__class_Obot(tc_fun(_u11661, tc_HOL_Obool))))) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11660), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11661, _u11660), _u11663), _u11662)), hAPP(_u11663, _u11664))) )).
% 39.89/40.08 cnf(fact_setprod__diff1-2, axiom, ( ~class_Fields_Ofield(_u11660) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11661), _u11662)) | ( hAPP(_u11663, _u11664) = c_Groups_Ozero__class_Ozero(_u11660)) | hBOOL(hAPP(hAPP(c_member(_u11661), _u11664), _u11662)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11661, _u11660), _u11663), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11661, tc_HOL_Obool)), _u11662), hAPP(hAPP(c_Set_Oinsert(_u11661), _u11664), c_Orderings_Obot__class_Obot(tc_fun(_u11661, tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11661, _u11660), _u11663), _u11662)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_diff__divide__distrib ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_diff__divide__distrib-1, axiom, ( ~class_Rings_Odivision__ring(_u11665) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11665), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11665), _u11666), _u11667)), _u11668) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11665), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11665), _u11666), _u11668)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11665), _u11667), _u11668))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_divide__1 ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_divide__1-1, axiom, ( ~class_Rings_Odivision__ring(_u11669) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11669), _u11670), c_Groups_Oone__class_Oone(_u11669)) = _u11670) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_minus__divide__left ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_minus__divide__left-1, axiom, ( ~class_Rings_Odivision__ring(_u11671) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u11671), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11671), _u11672), _u11673)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11671), hAPP(c_Groups_Ouminus__class_Ouminus(_u11671), _u11672)), _u11673)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_times__divide__eq__right ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_times__divide__eq__right-1, axiom, ( ~class_Rings_Odivision__ring(_u11674) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11674), _u11675), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11674), _u11676), _u11677)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11674), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11674), _u11675), _u11676)), _u11677)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_add__divide__distrib ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_add__divide__distrib-1, axiom, ( ~class_Rings_Odivision__ring(_u11678) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11678), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11678), _u11679), _u11680)), _u11681) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11678), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11678), _u11679), _u11681)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11678), _u11680), _u11681))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_power__divide ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_power__divide-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u11682) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11682), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11682), _u11683), _u11684)), _u11685) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11682), hAPP(hAPP(c_Power_Opower__class_Opower(_u11682), _u11683), _u11685)), hAPP(hAPP(c_Power_Opower__class_Opower(_u11682), _u11684), _u11685))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_setsum__divide__distrib ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_setsum__divide__distrib-1, axiom, ( ~class_Fields_Ofield(_u11686) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11686), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11687, _u11686), _u11688), _u11689)), _u11690) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11687, _u11686), hAPP(hAPP(c_COMBC(_u11687, _u11686, _u11686), hAPP(hAPP(c_COMBB(_u11686, tc_fun(_u11686, _u11686), _u11687), c_Rings_Oinverse__class_Odivide(_u11686)), _u11688)), _u11690)), _u11689)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_divide__zero__left ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_divide__zero__left-1, axiom, ( ~class_Rings_Odivision__ring(_u11691) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11691), c_Groups_Ozero__class_Ozero(_u11691)), _u11692) = c_Groups_Ozero__class_Ozero(_u11691)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_divide__zero ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_divide__zero-1, axiom, ( ~class_Rings_Odivision__ring__inverse__zero(_u11693) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11693), _u11694), c_Groups_Ozero__class_Ozero(_u11693)) = c_Groups_Ozero__class_Ozero(_u11693)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_nonzero__eq__divide__eq ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_nonzero__eq__divide__eq-1, axiom, ( ~class_Rings_Odivision__ring(_u11695) | ( _u11696 = c_Groups_Ozero__class_Ozero(_u11695)) | ( _u11697 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11695), _u11698), _u11696)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11695), _u11697), _u11696) = _u11698) )).
% 39.89/40.08 cnf(fact_nonzero__eq__divide__eq-2, axiom, ( ~class_Rings_Odivision__ring(_u11695) | ( _u11696 = c_Groups_Ozero__class_Ozero(_u11695)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11695), _u11697), _u11696) != _u11698) | ( _u11697 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11695), _u11698), _u11696)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_nonzero__divide__eq__eq ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_nonzero__divide__eq__eq-1, axiom, ( ~class_Rings_Odivision__ring(_u11699) | ( _u11700 = c_Groups_Ozero__class_Ozero(_u11699)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11699), _u11701), _u11700) != _u11702) | ( _u11701 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11699), _u11702), _u11700)) )).
% 39.89/40.08 cnf(fact_nonzero__divide__eq__eq-2, axiom, ( ~class_Rings_Odivision__ring(_u11699) | ( _u11700 = c_Groups_Ozero__class_Ozero(_u11699)) | ( _u11701 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11699), _u11702), _u11700)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11699), _u11701), _u11700) = _u11702) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_divide__eq__imp ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_divide__eq__imp-1, axiom, ( ~class_Rings_Odivision__ring(_u11703) | ( _u11704 = c_Groups_Ozero__class_Ozero(_u11703)) | ( _u11705 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11703), _u11706), _u11704)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11703), _u11705), _u11704) = _u11706) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_eq__divide__imp ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_eq__divide__imp-1, axiom, ( ~class_Rings_Odivision__ring(_u11707) | ( _u11708 = c_Groups_Ozero__class_Ozero(_u11707)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11707), _u11709), _u11708) != _u11710) | ( _u11709 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11707), _u11710), _u11708)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_divide__self__if ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_divide__self__if-1, axiom, ( ~class_Rings_Odivision__ring__inverse__zero(_u11711) | ( _u11712 != c_Groups_Ozero__class_Ozero(_u11711)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11711), _u11712), _u11712) = c_Groups_Ozero__class_Ozero(_u11711)) )).
% 39.89/40.08 cnf(fact_divide__self__if-2, axiom, ( ~class_Rings_Odivision__ring__inverse__zero(_u11711) | ( _u11712 = c_Groups_Ozero__class_Ozero(_u11711)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11711), _u11712), _u11712) = c_Groups_Oone__class_Oone(_u11711)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_divide__self ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_divide__self-1, axiom, ( ~class_Rings_Odivision__ring(_u11713) | ( _u11714 = c_Groups_Ozero__class_Ozero(_u11713)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11713), _u11714), _u11714) = c_Groups_Oone__class_Oone(_u11713)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_right__inverse__eq ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_right__inverse__eq-1, axiom, ( ~class_Rings_Odivision__ring(_u11715) | ( _u11716 = c_Groups_Ozero__class_Ozero(_u11715)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11715), _u11717), _u11716) != c_Groups_Oone__class_Oone(_u11715)) | ( _u11717 = _u11716) )).
% 39.89/40.08 cnf(fact_right__inverse__eq-2, axiom, ( ~class_Rings_Odivision__ring(_u11715) | ( _u11716 = c_Groups_Ozero__class_Ozero(_u11715)) | ( _u11717 != _u11716) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11715), _u11717), _u11716) = c_Groups_Oone__class_Oone(_u11715)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_nonzero__minus__divide__divide ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_nonzero__minus__divide__divide-1, axiom, ( ~class_Rings_Odivision__ring(_u11718) | ( _u11719 = c_Groups_Ozero__class_Ozero(_u11718)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11718), hAPP(c_Groups_Ouminus__class_Ouminus(_u11718), _u11720)), hAPP(c_Groups_Ouminus__class_Ouminus(_u11718), _u11719)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11718), _u11720), _u11719)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_nonzero__minus__divide__right ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_nonzero__minus__divide__right-1, axiom, ( ~class_Rings_Odivision__ring(_u11721) | ( _u11722 = c_Groups_Ozero__class_Ozero(_u11721)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u11721), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11721), _u11723), _u11722)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11721), _u11723), hAPP(c_Groups_Ouminus__class_Ouminus(_u11721), _u11722))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_nonzero__power__divide ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_nonzero__power__divide-1, axiom, ( ~class_Fields_Ofield(_u11724) | ( _u11725 = c_Groups_Ozero__class_Ozero(_u11724)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11724), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11724), _u11726), _u11725)), _u11727) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11724), hAPP(hAPP(c_Power_Opower__class_Opower(_u11724), _u11726), _u11727)), hAPP(hAPP(c_Power_Opower__class_Opower(_u11724), _u11725), _u11727))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_power__one__over ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_power__one__over-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u11728) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11728), c_Groups_Oone__class_Oone(_u11728)), hAPP(hAPP(c_Power_Opower__class_Opower(_u11728), _u11729), _u11730)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u11728), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11728), c_Groups_Oone__class_Oone(_u11728)), _u11729)), _u11730)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_setprod__dividef ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_setprod__dividef-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u11731) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11732), _u11733)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11732, _u11731), hAPP(hAPP(c_COMBS(_u11732, _u11731, _u11731), hAPP(hAPP(c_COMBB(_u11731, tc_fun(_u11731, _u11731), _u11732), c_Rings_Oinverse__class_Odivide(_u11731)), _u11734)), _u11735)), _u11733) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11731), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11732, _u11731), _u11734), _u11733)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11732, _u11731), _u11735), _u11733))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_divide__eq__eq__number__of1 ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_divide__eq__eq__number__of1-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u11736) | ~class_Int_Onumber(_u11736) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11736), _u11737), hAPP(c_Int_Onumber__class_Onumber__of(_u11736), _u11738)) != _u11739) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u11736), _u11738) = c_Groups_Ozero__class_Ozero(_u11736)) | ( _u11737 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11736), _u11739), hAPP(c_Int_Onumber__class_Onumber__of(_u11736), _u11738))) )).
% 39.89/40.08 cnf(fact_divide__eq__eq__number__of1-2, axiom, ( ~class_Fields_Ofield__inverse__zero(_u11736) | ~class_Int_Onumber(_u11736) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11736), _u11737), hAPP(c_Int_Onumber__class_Onumber__of(_u11736), _u11738)) != _u11739) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u11736), _u11738) != c_Groups_Ozero__class_Ozero(_u11736)) | ( _u11739 = c_Groups_Ozero__class_Ozero(_u11736)) )).
% 39.89/40.08 cnf(fact_divide__eq__eq__number__of1-3, axiom, ( ~class_Fields_Ofield__inverse__zero(_u11736) | ~class_Int_Onumber(_u11736) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11736), _u11737), hAPP(c_Int_Onumber__class_Onumber__of(_u11736), _u11738)) = _u11739) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u11736), _u11738) != c_Groups_Ozero__class_Ozero(_u11736)) | ( _u11739 != c_Groups_Ozero__class_Ozero(_u11736)) )).
% 39.89/40.08 cnf(fact_divide__eq__eq__number__of1-4, axiom, ( ~class_Fields_Ofield__inverse__zero(_u11736) | ~class_Int_Onumber(_u11736) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11736), _u11737), hAPP(c_Int_Onumber__class_Onumber__of(_u11736), _u11738)) = _u11739) | ( _u11737 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11736), _u11739), hAPP(c_Int_Onumber__class_Onumber__of(_u11736), _u11738))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u11736), _u11738) = c_Groups_Ozero__class_Ozero(_u11736)) )).
% 39.89/40.08 cnf(fact_divide__eq__eq__number__of1-5, axiom, ( ~class_Fields_Ofield__inverse__zero(_u11736) | ~class_Int_Onumber(_u11736) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11736), _u11737), hAPP(c_Int_Onumber__class_Onumber__of(_u11736), _u11738)) = _u11739) | ( _u11737 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11736), _u11739), hAPP(c_Int_Onumber__class_Onumber__of(_u11736), _u11738))) | ( _u11739 != c_Groups_Ozero__class_Ozero(_u11736)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_divide__eq__eq__number__of ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_divide__eq__eq__number__of-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u11740) | ~class_Int_Onumber(_u11740) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11740), _u11741), _u11742) != hAPP(c_Int_Onumber__class_Onumber__of(_u11740), _u11743)) | ( _u11742 = c_Groups_Ozero__class_Ozero(_u11740)) | ( _u11741 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11740), hAPP(c_Int_Onumber__class_Onumber__of(_u11740), _u11743)), _u11742)) )).
% 39.89/40.08 cnf(fact_divide__eq__eq__number__of-2, axiom, ( ~class_Fields_Ofield__inverse__zero(_u11740) | ~class_Int_Onumber(_u11740) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11740), _u11741), _u11742) != hAPP(c_Int_Onumber__class_Onumber__of(_u11740), _u11743)) | ( _u11742 != c_Groups_Ozero__class_Ozero(_u11740)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u11740), _u11743) = c_Groups_Ozero__class_Ozero(_u11740)) )).
% 39.89/40.08 cnf(fact_divide__eq__eq__number__of-3, axiom, ( ~class_Fields_Ofield__inverse__zero(_u11740) | ~class_Int_Onumber(_u11740) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11740), _u11741), _u11742) = hAPP(c_Int_Onumber__class_Onumber__of(_u11740), _u11743)) | ( _u11742 != c_Groups_Ozero__class_Ozero(_u11740)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u11740), _u11743) != c_Groups_Ozero__class_Ozero(_u11740)) )).
% 39.89/40.08 cnf(fact_divide__eq__eq__number__of-4, axiom, ( ~class_Fields_Ofield__inverse__zero(_u11740) | ~class_Int_Onumber(_u11740) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11740), _u11741), _u11742) = hAPP(c_Int_Onumber__class_Onumber__of(_u11740), _u11743)) | ( _u11741 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11740), hAPP(c_Int_Onumber__class_Onumber__of(_u11740), _u11743)), _u11742)) | ( _u11742 = c_Groups_Ozero__class_Ozero(_u11740)) )).
% 39.89/40.08 cnf(fact_divide__eq__eq__number__of-5, axiom, ( ~class_Fields_Ofield__inverse__zero(_u11740) | ~class_Int_Onumber(_u11740) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11740), _u11741), _u11742) = hAPP(c_Int_Onumber__class_Onumber__of(_u11740), _u11743)) | ( _u11741 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11740), hAPP(c_Int_Onumber__class_Onumber__of(_u11740), _u11743)), _u11742)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u11740), _u11743) != c_Groups_Ozero__class_Ozero(_u11740)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_eq__divide__eq__number__of ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_eq__divide__eq__number__of-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u11744) | ~class_Int_Onumber(_u11744) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u11744), _u11745) != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11744), _u11746), _u11747)) | ( _u11747 = c_Groups_Ozero__class_Ozero(_u11744)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11744), hAPP(c_Int_Onumber__class_Onumber__of(_u11744), _u11745)), _u11747) = _u11746) )).
% 39.89/40.08 cnf(fact_eq__divide__eq__number__of-2, axiom, ( ~class_Fields_Ofield__inverse__zero(_u11744) | ~class_Int_Onumber(_u11744) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u11744), _u11745) != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11744), _u11746), _u11747)) | ( _u11747 != c_Groups_Ozero__class_Ozero(_u11744)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u11744), _u11745) = c_Groups_Ozero__class_Ozero(_u11744)) )).
% 39.89/40.08 cnf(fact_eq__divide__eq__number__of-3, axiom, ( ~class_Fields_Ofield__inverse__zero(_u11744) | ~class_Int_Onumber(_u11744) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u11744), _u11745) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11744), _u11746), _u11747)) | ( _u11747 != c_Groups_Ozero__class_Ozero(_u11744)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u11744), _u11745) != c_Groups_Ozero__class_Ozero(_u11744)) )).
% 39.89/40.08 cnf(fact_eq__divide__eq__number__of-4, axiom, ( ~class_Fields_Ofield__inverse__zero(_u11744) | ~class_Int_Onumber(_u11744) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u11744), _u11745) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11744), _u11746), _u11747)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11744), hAPP(c_Int_Onumber__class_Onumber__of(_u11744), _u11745)), _u11747) != _u11746) | ( _u11747 = c_Groups_Ozero__class_Ozero(_u11744)) )).
% 39.89/40.08 cnf(fact_eq__divide__eq__number__of-5, axiom, ( ~class_Fields_Ofield__inverse__zero(_u11744) | ~class_Int_Onumber(_u11744) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u11744), _u11745) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11744), _u11746), _u11747)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11744), hAPP(c_Int_Onumber__class_Onumber__of(_u11744), _u11745)), _u11747) != _u11746) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u11744), _u11745) != c_Groups_Ozero__class_Ozero(_u11744)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_eq__divide__eq__number__of1 ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_eq__divide__eq__number__of1-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u11748) | ~class_Int_Onumber(_u11748) | ( _u11749 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11748), _u11750), hAPP(c_Int_Onumber__class_Onumber__of(_u11748), _u11751))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u11748), _u11751) = c_Groups_Ozero__class_Ozero(_u11748)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11748), _u11749), hAPP(c_Int_Onumber__class_Onumber__of(_u11748), _u11751)) = _u11750) )).
% 39.89/40.08 cnf(fact_eq__divide__eq__number__of1-2, axiom, ( ~class_Fields_Ofield__inverse__zero(_u11748) | ~class_Int_Onumber(_u11748) | ( _u11749 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11748), _u11750), hAPP(c_Int_Onumber__class_Onumber__of(_u11748), _u11751))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u11748), _u11751) != c_Groups_Ozero__class_Ozero(_u11748)) | ( _u11749 = c_Groups_Ozero__class_Ozero(_u11748)) )).
% 39.89/40.08 cnf(fact_eq__divide__eq__number__of1-3, axiom, ( ~class_Fields_Ofield__inverse__zero(_u11748) | ~class_Int_Onumber(_u11748) | ( _u11749 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11748), _u11750), hAPP(c_Int_Onumber__class_Onumber__of(_u11748), _u11751))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u11748), _u11751) != c_Groups_Ozero__class_Ozero(_u11748)) | ( _u11749 != c_Groups_Ozero__class_Ozero(_u11748)) )).
% 39.89/40.08 cnf(fact_eq__divide__eq__number__of1-4, axiom, ( ~class_Fields_Ofield__inverse__zero(_u11748) | ~class_Int_Onumber(_u11748) | ( _u11749 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11748), _u11750), hAPP(c_Int_Onumber__class_Onumber__of(_u11748), _u11751))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11748), _u11749), hAPP(c_Int_Onumber__class_Onumber__of(_u11748), _u11751)) != _u11750) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u11748), _u11751) = c_Groups_Ozero__class_Ozero(_u11748)) )).
% 39.89/40.08 cnf(fact_eq__divide__eq__number__of1-5, axiom, ( ~class_Fields_Ofield__inverse__zero(_u11748) | ~class_Int_Onumber(_u11748) | ( _u11749 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11748), _u11750), hAPP(c_Int_Onumber__class_Onumber__of(_u11748), _u11751))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11748), _u11749), hAPP(c_Int_Onumber__class_Onumber__of(_u11748), _u11751)) != _u11750) | ( _u11749 != c_Groups_Ozero__class_Ozero(_u11748)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_divide__Numeral0 ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_divide__Numeral0-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u11752) | ~class_Int_Onumber__ring(_u11752) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11752), _u11753), hAPP(c_Int_Onumber__class_Onumber__of(_u11752), c_Int_OPls)) = c_Groups_Ozero__class_Ozero(_u11752)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_divide__Numeral1 ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_divide__Numeral1-1, axiom, ( ~class_Fields_Ofield(_u11754) | ~class_Int_Onumber__ring(_u11754) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11754), _u11755), hAPP(c_Int_Onumber__class_Onumber__of(_u11754), c_Int_OBit1(c_Int_OPls))) = _u11755) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_divide__numeral__1 ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_divide__numeral__1-1, axiom, ( ~class_Fields_Ofield(_u11756) | ~class_Int_Onumber__ring(_u11756) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11756), _u11757), hAPP(c_Int_Onumber__class_Onumber__of(_u11756), c_Int_OBit1(c_Int_OPls))) = _u11757) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_divide__minus1 ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_divide__minus1-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u11758) | ~class_Int_Onumber__ring(_u11758) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11758), _u11759), hAPP(c_Int_Onumber__class_Onumber__of(_u11758), c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u11758), _u11759)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_Nats__0 ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_Nats__0-1, axiom, ( ~class_Rings_Osemiring__1(_u11760) | hBOOL(hAPP(hAPP(c_member(_u11760), c_Groups_Ozero__class_Ozero(_u11760)), c_Nat_Osemiring__1__class_ONats(_u11760))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_Nats__add ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_Nats__add-1, axiom, ( ~class_Rings_Osemiring__1(_u11761) | ~hBOOL(hAPP(hAPP(c_member(_u11761), _u11762), c_Nat_Osemiring__1__class_ONats(_u11761))) | ~hBOOL(hAPP(hAPP(c_member(_u11761), _u11763), c_Nat_Osemiring__1__class_ONats(_u11761))) | hBOOL(hAPP(hAPP(c_member(_u11761), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11761), _u11762), _u11763)), c_Nat_Osemiring__1__class_ONats(_u11761))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_Nats__mult ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_Nats__mult-1, axiom, ( ~class_Rings_Osemiring__1(_u11764) | ~hBOOL(hAPP(hAPP(c_member(_u11764), _u11765), c_Nat_Osemiring__1__class_ONats(_u11764))) | ~hBOOL(hAPP(hAPP(c_member(_u11764), _u11766), c_Nat_Osemiring__1__class_ONats(_u11764))) | hBOOL(hAPP(hAPP(c_member(_u11764), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11764), _u11765), _u11766)), c_Nat_Osemiring__1__class_ONats(_u11764))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_less__divide__eq__number__of1 ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_less__divide__eq__number__of1-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11767) | ~class_Int_Onumber(_u11767) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11767), _u11768), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11767), _u11769), hAPP(c_Int_Onumber__class_Onumber__of(_u11767), _u11770)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11767), c_Groups_Ozero__class_Ozero(_u11767)), hAPP(c_Int_Onumber__class_Onumber__of(_u11767), _u11770))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11767), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11767), _u11768), hAPP(c_Int_Onumber__class_Onumber__of(_u11767), _u11770))), _u11769)) )).
% 39.89/40.08 cnf(fact_less__divide__eq__number__of1-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11767) | ~class_Int_Onumber(_u11767) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11767), _u11768), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11767), _u11769), hAPP(c_Int_Onumber__class_Onumber__of(_u11767), _u11770)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11767), c_Groups_Ozero__class_Ozero(_u11767)), hAPP(c_Int_Onumber__class_Onumber__of(_u11767), _u11770))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11767), hAPP(c_Int_Onumber__class_Onumber__of(_u11767), _u11770)), c_Groups_Ozero__class_Ozero(_u11767))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11767), _u11769), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11767), _u11768), hAPP(c_Int_Onumber__class_Onumber__of(_u11767), _u11770)))) )).
% 39.89/40.08 cnf(fact_less__divide__eq__number__of1-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11767) | ~class_Int_Onumber(_u11767) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11767), _u11768), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11767), _u11769), hAPP(c_Int_Onumber__class_Onumber__of(_u11767), _u11770)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11767), c_Groups_Ozero__class_Ozero(_u11767)), hAPP(c_Int_Onumber__class_Onumber__of(_u11767), _u11770))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11767), hAPP(c_Int_Onumber__class_Onumber__of(_u11767), _u11770)), c_Groups_Ozero__class_Ozero(_u11767))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11767), _u11768), c_Groups_Ozero__class_Ozero(_u11767))) )).
% 39.89/40.08 cnf(fact_less__divide__eq__number__of1-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11767) | ~class_Int_Onumber(_u11767) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11767), _u11768), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11767), _u11769), hAPP(c_Int_Onumber__class_Onumber__of(_u11767), _u11770)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11767), c_Groups_Ozero__class_Ozero(_u11767)), hAPP(c_Int_Onumber__class_Onumber__of(_u11767), _u11770))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11767), hAPP(c_Int_Onumber__class_Onumber__of(_u11767), _u11770)), c_Groups_Ozero__class_Ozero(_u11767))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11767), _u11768), c_Groups_Ozero__class_Ozero(_u11767))) )).
% 39.89/40.08 cnf(fact_less__divide__eq__number__of1-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11767) | ~class_Int_Onumber(_u11767) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11767), _u11768), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11767), _u11769), hAPP(c_Int_Onumber__class_Onumber__of(_u11767), _u11770)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11767), c_Groups_Ozero__class_Ozero(_u11767)), hAPP(c_Int_Onumber__class_Onumber__of(_u11767), _u11770))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11767), _u11769), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11767), _u11768), hAPP(c_Int_Onumber__class_Onumber__of(_u11767), _u11770)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11767), hAPP(c_Int_Onumber__class_Onumber__of(_u11767), _u11770)), c_Groups_Ozero__class_Ozero(_u11767))) )).
% 39.89/40.08 cnf(fact_less__divide__eq__number__of1-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11767) | ~class_Int_Onumber(_u11767) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11767), _u11768), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11767), _u11769), hAPP(c_Int_Onumber__class_Onumber__of(_u11767), _u11770)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11767), c_Groups_Ozero__class_Ozero(_u11767)), hAPP(c_Int_Onumber__class_Onumber__of(_u11767), _u11770))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11767), _u11769), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11767), _u11768), hAPP(c_Int_Onumber__class_Onumber__of(_u11767), _u11770)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11767), _u11768), c_Groups_Ozero__class_Ozero(_u11767))) )).
% 39.89/40.08 cnf(fact_less__divide__eq__number__of1-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11767) | ~class_Int_Onumber(_u11767) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11767), _u11768), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11767), _u11769), hAPP(c_Int_Onumber__class_Onumber__of(_u11767), _u11770)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11767), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11767), _u11768), hAPP(c_Int_Onumber__class_Onumber__of(_u11767), _u11770))), _u11769)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11767), c_Groups_Ozero__class_Ozero(_u11767)), hAPP(c_Int_Onumber__class_Onumber__of(_u11767), _u11770))) )).
% 39.89/40.08 cnf(fact_less__divide__eq__number__of1-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11767) | ~class_Int_Onumber(_u11767) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11767), _u11768), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11767), _u11769), hAPP(c_Int_Onumber__class_Onumber__of(_u11767), _u11770)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11767), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11767), _u11768), hAPP(c_Int_Onumber__class_Onumber__of(_u11767), _u11770))), _u11769)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11767), hAPP(c_Int_Onumber__class_Onumber__of(_u11767), _u11770)), c_Groups_Ozero__class_Ozero(_u11767))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11767), _u11768), c_Groups_Ozero__class_Ozero(_u11767))) )).
% 39.89/40.08 cnf(fact_less__divide__eq__number__of1-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11767) | ~class_Int_Onumber(_u11767) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11767), _u11768), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11767), _u11769), hAPP(c_Int_Onumber__class_Onumber__of(_u11767), _u11770)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11767), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11767), _u11768), hAPP(c_Int_Onumber__class_Onumber__of(_u11767), _u11770))), _u11769)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11767), _u11769), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11767), _u11768), hAPP(c_Int_Onumber__class_Onumber__of(_u11767), _u11770)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11767), hAPP(c_Int_Onumber__class_Onumber__of(_u11767), _u11770)), c_Groups_Ozero__class_Ozero(_u11767))) )).
% 39.89/40.08 cnf(fact_less__divide__eq__number__of1-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11767) | ~class_Int_Onumber(_u11767) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11767), _u11768), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11767), _u11769), hAPP(c_Int_Onumber__class_Onumber__of(_u11767), _u11770)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11767), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11767), _u11768), hAPP(c_Int_Onumber__class_Onumber__of(_u11767), _u11770))), _u11769)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11767), _u11769), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11767), _u11768), hAPP(c_Int_Onumber__class_Onumber__of(_u11767), _u11770)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11767), _u11768), c_Groups_Ozero__class_Ozero(_u11767))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_less__divide__eq__number__of ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_less__divide__eq__number__of-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11771) | ~class_Int_Onumber(_u11771) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11771), hAPP(c_Int_Onumber__class_Onumber__of(_u11771), _u11772)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11771), _u11773), _u11774))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11771), c_Groups_Ozero__class_Ozero(_u11771)), _u11774)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11771), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11771), hAPP(c_Int_Onumber__class_Onumber__of(_u11771), _u11772)), _u11774)), _u11773)) )).
% 39.89/40.08 cnf(fact_less__divide__eq__number__of-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11771) | ~class_Int_Onumber(_u11771) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11771), hAPP(c_Int_Onumber__class_Onumber__of(_u11771), _u11772)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11771), _u11773), _u11774))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11771), c_Groups_Ozero__class_Ozero(_u11771)), _u11774)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11771), _u11774), c_Groups_Ozero__class_Ozero(_u11771))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11771), _u11773), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11771), hAPP(c_Int_Onumber__class_Onumber__of(_u11771), _u11772)), _u11774))) )).
% 39.89/40.08 cnf(fact_less__divide__eq__number__of-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11771) | ~class_Int_Onumber(_u11771) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11771), hAPP(c_Int_Onumber__class_Onumber__of(_u11771), _u11772)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11771), _u11773), _u11774))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11771), c_Groups_Ozero__class_Ozero(_u11771)), _u11774)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11771), _u11774), c_Groups_Ozero__class_Ozero(_u11771))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11771), hAPP(c_Int_Onumber__class_Onumber__of(_u11771), _u11772)), c_Groups_Ozero__class_Ozero(_u11771))) )).
% 39.89/40.08 cnf(fact_less__divide__eq__number__of-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11771) | ~class_Int_Onumber(_u11771) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11771), hAPP(c_Int_Onumber__class_Onumber__of(_u11771), _u11772)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11771), _u11773), _u11774))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11771), c_Groups_Ozero__class_Ozero(_u11771)), _u11774)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11771), _u11774), c_Groups_Ozero__class_Ozero(_u11771))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11771), hAPP(c_Int_Onumber__class_Onumber__of(_u11771), _u11772)), c_Groups_Ozero__class_Ozero(_u11771))) )).
% 39.89/40.08 cnf(fact_less__divide__eq__number__of-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11771) | ~class_Int_Onumber(_u11771) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11771), hAPP(c_Int_Onumber__class_Onumber__of(_u11771), _u11772)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11771), _u11773), _u11774))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11771), c_Groups_Ozero__class_Ozero(_u11771)), _u11774)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11771), _u11773), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11771), hAPP(c_Int_Onumber__class_Onumber__of(_u11771), _u11772)), _u11774))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11771), _u11774), c_Groups_Ozero__class_Ozero(_u11771))) )).
% 39.89/40.08 cnf(fact_less__divide__eq__number__of-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11771) | ~class_Int_Onumber(_u11771) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11771), hAPP(c_Int_Onumber__class_Onumber__of(_u11771), _u11772)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11771), _u11773), _u11774))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11771), c_Groups_Ozero__class_Ozero(_u11771)), _u11774)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11771), _u11773), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11771), hAPP(c_Int_Onumber__class_Onumber__of(_u11771), _u11772)), _u11774))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11771), hAPP(c_Int_Onumber__class_Onumber__of(_u11771), _u11772)), c_Groups_Ozero__class_Ozero(_u11771))) )).
% 39.89/40.08 cnf(fact_less__divide__eq__number__of-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11771) | ~class_Int_Onumber(_u11771) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11771), hAPP(c_Int_Onumber__class_Onumber__of(_u11771), _u11772)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11771), _u11773), _u11774))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11771), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11771), hAPP(c_Int_Onumber__class_Onumber__of(_u11771), _u11772)), _u11774)), _u11773)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11771), c_Groups_Ozero__class_Ozero(_u11771)), _u11774)) )).
% 39.89/40.08 cnf(fact_less__divide__eq__number__of-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11771) | ~class_Int_Onumber(_u11771) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11771), hAPP(c_Int_Onumber__class_Onumber__of(_u11771), _u11772)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11771), _u11773), _u11774))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11771), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11771), hAPP(c_Int_Onumber__class_Onumber__of(_u11771), _u11772)), _u11774)), _u11773)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11771), _u11774), c_Groups_Ozero__class_Ozero(_u11771))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11771), hAPP(c_Int_Onumber__class_Onumber__of(_u11771), _u11772)), c_Groups_Ozero__class_Ozero(_u11771))) )).
% 39.89/40.08 cnf(fact_less__divide__eq__number__of-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11771) | ~class_Int_Onumber(_u11771) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11771), hAPP(c_Int_Onumber__class_Onumber__of(_u11771), _u11772)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11771), _u11773), _u11774))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11771), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11771), hAPP(c_Int_Onumber__class_Onumber__of(_u11771), _u11772)), _u11774)), _u11773)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11771), _u11773), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11771), hAPP(c_Int_Onumber__class_Onumber__of(_u11771), _u11772)), _u11774))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11771), _u11774), c_Groups_Ozero__class_Ozero(_u11771))) )).
% 39.89/40.08 cnf(fact_less__divide__eq__number__of-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11771) | ~class_Int_Onumber(_u11771) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11771), hAPP(c_Int_Onumber__class_Onumber__of(_u11771), _u11772)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11771), _u11773), _u11774))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11771), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11771), hAPP(c_Int_Onumber__class_Onumber__of(_u11771), _u11772)), _u11774)), _u11773)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11771), _u11773), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11771), hAPP(c_Int_Onumber__class_Onumber__of(_u11771), _u11772)), _u11774))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11771), hAPP(c_Int_Onumber__class_Onumber__of(_u11771), _u11772)), c_Groups_Ozero__class_Ozero(_u11771))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_divide__less__eq__number__of ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_divide__less__eq__number__of-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11775) | ~class_Int_Onumber(_u11775) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11775), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11775), _u11776), _u11777)), hAPP(c_Int_Onumber__class_Onumber__of(_u11775), _u11778))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11775), c_Groups_Ozero__class_Ozero(_u11775)), _u11777)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11775), _u11776), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11775), hAPP(c_Int_Onumber__class_Onumber__of(_u11775), _u11778)), _u11777))) )).
% 39.89/40.08 cnf(fact_divide__less__eq__number__of-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11775) | ~class_Int_Onumber(_u11775) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11775), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11775), _u11776), _u11777)), hAPP(c_Int_Onumber__class_Onumber__of(_u11775), _u11778))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11775), c_Groups_Ozero__class_Ozero(_u11775)), _u11777)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11775), _u11777), c_Groups_Ozero__class_Ozero(_u11775))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11775), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11775), hAPP(c_Int_Onumber__class_Onumber__of(_u11775), _u11778)), _u11777)), _u11776)) )).
% 39.89/40.08 cnf(fact_divide__less__eq__number__of-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11775) | ~class_Int_Onumber(_u11775) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11775), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11775), _u11776), _u11777)), hAPP(c_Int_Onumber__class_Onumber__of(_u11775), _u11778))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11775), c_Groups_Ozero__class_Ozero(_u11775)), _u11777)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11775), _u11777), c_Groups_Ozero__class_Ozero(_u11775))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11775), c_Groups_Ozero__class_Ozero(_u11775)), hAPP(c_Int_Onumber__class_Onumber__of(_u11775), _u11778))) )).
% 39.89/40.08 cnf(fact_divide__less__eq__number__of-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11775) | ~class_Int_Onumber(_u11775) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11775), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11775), _u11776), _u11777)), hAPP(c_Int_Onumber__class_Onumber__of(_u11775), _u11778))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11775), c_Groups_Ozero__class_Ozero(_u11775)), _u11777)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11775), _u11777), c_Groups_Ozero__class_Ozero(_u11775))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11775), c_Groups_Ozero__class_Ozero(_u11775)), hAPP(c_Int_Onumber__class_Onumber__of(_u11775), _u11778))) )).
% 39.89/40.08 cnf(fact_divide__less__eq__number__of-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11775) | ~class_Int_Onumber(_u11775) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11775), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11775), _u11776), _u11777)), hAPP(c_Int_Onumber__class_Onumber__of(_u11775), _u11778))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11775), c_Groups_Ozero__class_Ozero(_u11775)), _u11777)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11775), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11775), hAPP(c_Int_Onumber__class_Onumber__of(_u11775), _u11778)), _u11777)), _u11776)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11775), _u11777), c_Groups_Ozero__class_Ozero(_u11775))) )).
% 39.89/40.08 cnf(fact_divide__less__eq__number__of-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11775) | ~class_Int_Onumber(_u11775) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11775), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11775), _u11776), _u11777)), hAPP(c_Int_Onumber__class_Onumber__of(_u11775), _u11778))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11775), c_Groups_Ozero__class_Ozero(_u11775)), _u11777)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11775), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11775), hAPP(c_Int_Onumber__class_Onumber__of(_u11775), _u11778)), _u11777)), _u11776)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11775), c_Groups_Ozero__class_Ozero(_u11775)), hAPP(c_Int_Onumber__class_Onumber__of(_u11775), _u11778))) )).
% 39.89/40.08 cnf(fact_divide__less__eq__number__of-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11775) | ~class_Int_Onumber(_u11775) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11775), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11775), _u11776), _u11777)), hAPP(c_Int_Onumber__class_Onumber__of(_u11775), _u11778))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11775), _u11776), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11775), hAPP(c_Int_Onumber__class_Onumber__of(_u11775), _u11778)), _u11777))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11775), c_Groups_Ozero__class_Ozero(_u11775)), _u11777)) )).
% 39.89/40.08 cnf(fact_divide__less__eq__number__of-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11775) | ~class_Int_Onumber(_u11775) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11775), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11775), _u11776), _u11777)), hAPP(c_Int_Onumber__class_Onumber__of(_u11775), _u11778))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11775), _u11776), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11775), hAPP(c_Int_Onumber__class_Onumber__of(_u11775), _u11778)), _u11777))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11775), _u11777), c_Groups_Ozero__class_Ozero(_u11775))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11775), c_Groups_Ozero__class_Ozero(_u11775)), hAPP(c_Int_Onumber__class_Onumber__of(_u11775), _u11778))) )).
% 39.89/40.08 cnf(fact_divide__less__eq__number__of-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11775) | ~class_Int_Onumber(_u11775) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11775), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11775), _u11776), _u11777)), hAPP(c_Int_Onumber__class_Onumber__of(_u11775), _u11778))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11775), _u11776), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11775), hAPP(c_Int_Onumber__class_Onumber__of(_u11775), _u11778)), _u11777))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11775), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11775), hAPP(c_Int_Onumber__class_Onumber__of(_u11775), _u11778)), _u11777)), _u11776)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11775), _u11777), c_Groups_Ozero__class_Ozero(_u11775))) )).
% 39.89/40.08 cnf(fact_divide__less__eq__number__of-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11775) | ~class_Int_Onumber(_u11775) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11775), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11775), _u11776), _u11777)), hAPP(c_Int_Onumber__class_Onumber__of(_u11775), _u11778))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11775), _u11776), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11775), hAPP(c_Int_Onumber__class_Onumber__of(_u11775), _u11778)), _u11777))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11775), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11775), hAPP(c_Int_Onumber__class_Onumber__of(_u11775), _u11778)), _u11777)), _u11776)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11775), c_Groups_Ozero__class_Ozero(_u11775)), hAPP(c_Int_Onumber__class_Onumber__of(_u11775), _u11778))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_divide__less__eq__number__of1 ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_divide__less__eq__number__of1-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11779) | ~class_Int_Onumber(_u11779) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11779), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11779), _u11780), hAPP(c_Int_Onumber__class_Onumber__of(_u11779), _u11781))), _u11782)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11779), c_Groups_Ozero__class_Ozero(_u11779)), hAPP(c_Int_Onumber__class_Onumber__of(_u11779), _u11781))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11779), _u11780), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11779), _u11782), hAPP(c_Int_Onumber__class_Onumber__of(_u11779), _u11781)))) )).
% 39.89/40.08 cnf(fact_divide__less__eq__number__of1-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11779) | ~class_Int_Onumber(_u11779) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11779), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11779), _u11780), hAPP(c_Int_Onumber__class_Onumber__of(_u11779), _u11781))), _u11782)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11779), c_Groups_Ozero__class_Ozero(_u11779)), hAPP(c_Int_Onumber__class_Onumber__of(_u11779), _u11781))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11779), hAPP(c_Int_Onumber__class_Onumber__of(_u11779), _u11781)), c_Groups_Ozero__class_Ozero(_u11779))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11779), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11779), _u11782), hAPP(c_Int_Onumber__class_Onumber__of(_u11779), _u11781))), _u11780)) )).
% 39.89/40.08 cnf(fact_divide__less__eq__number__of1-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11779) | ~class_Int_Onumber(_u11779) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11779), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11779), _u11780), hAPP(c_Int_Onumber__class_Onumber__of(_u11779), _u11781))), _u11782)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11779), c_Groups_Ozero__class_Ozero(_u11779)), hAPP(c_Int_Onumber__class_Onumber__of(_u11779), _u11781))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11779), hAPP(c_Int_Onumber__class_Onumber__of(_u11779), _u11781)), c_Groups_Ozero__class_Ozero(_u11779))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11779), c_Groups_Ozero__class_Ozero(_u11779)), _u11782)) )).
% 39.89/40.08 cnf(fact_divide__less__eq__number__of1-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11779) | ~class_Int_Onumber(_u11779) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11779), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11779), _u11780), hAPP(c_Int_Onumber__class_Onumber__of(_u11779), _u11781))), _u11782)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11779), c_Groups_Ozero__class_Ozero(_u11779)), hAPP(c_Int_Onumber__class_Onumber__of(_u11779), _u11781))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11779), hAPP(c_Int_Onumber__class_Onumber__of(_u11779), _u11781)), c_Groups_Ozero__class_Ozero(_u11779))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11779), c_Groups_Ozero__class_Ozero(_u11779)), _u11782)) )).
% 39.89/40.08 cnf(fact_divide__less__eq__number__of1-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11779) | ~class_Int_Onumber(_u11779) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11779), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11779), _u11780), hAPP(c_Int_Onumber__class_Onumber__of(_u11779), _u11781))), _u11782)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11779), c_Groups_Ozero__class_Ozero(_u11779)), hAPP(c_Int_Onumber__class_Onumber__of(_u11779), _u11781))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11779), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11779), _u11782), hAPP(c_Int_Onumber__class_Onumber__of(_u11779), _u11781))), _u11780)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11779), hAPP(c_Int_Onumber__class_Onumber__of(_u11779), _u11781)), c_Groups_Ozero__class_Ozero(_u11779))) )).
% 39.89/40.08 cnf(fact_divide__less__eq__number__of1-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11779) | ~class_Int_Onumber(_u11779) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11779), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11779), _u11780), hAPP(c_Int_Onumber__class_Onumber__of(_u11779), _u11781))), _u11782)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11779), c_Groups_Ozero__class_Ozero(_u11779)), hAPP(c_Int_Onumber__class_Onumber__of(_u11779), _u11781))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11779), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11779), _u11782), hAPP(c_Int_Onumber__class_Onumber__of(_u11779), _u11781))), _u11780)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11779), c_Groups_Ozero__class_Ozero(_u11779)), _u11782)) )).
% 39.89/40.08 cnf(fact_divide__less__eq__number__of1-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11779) | ~class_Int_Onumber(_u11779) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11779), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11779), _u11780), hAPP(c_Int_Onumber__class_Onumber__of(_u11779), _u11781))), _u11782)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11779), _u11780), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11779), _u11782), hAPP(c_Int_Onumber__class_Onumber__of(_u11779), _u11781)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11779), c_Groups_Ozero__class_Ozero(_u11779)), hAPP(c_Int_Onumber__class_Onumber__of(_u11779), _u11781))) )).
% 39.89/40.08 cnf(fact_divide__less__eq__number__of1-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11779) | ~class_Int_Onumber(_u11779) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11779), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11779), _u11780), hAPP(c_Int_Onumber__class_Onumber__of(_u11779), _u11781))), _u11782)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11779), _u11780), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11779), _u11782), hAPP(c_Int_Onumber__class_Onumber__of(_u11779), _u11781)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11779), hAPP(c_Int_Onumber__class_Onumber__of(_u11779), _u11781)), c_Groups_Ozero__class_Ozero(_u11779))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11779), c_Groups_Ozero__class_Ozero(_u11779)), _u11782)) )).
% 39.89/40.08 cnf(fact_divide__less__eq__number__of1-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11779) | ~class_Int_Onumber(_u11779) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11779), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11779), _u11780), hAPP(c_Int_Onumber__class_Onumber__of(_u11779), _u11781))), _u11782)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11779), _u11780), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11779), _u11782), hAPP(c_Int_Onumber__class_Onumber__of(_u11779), _u11781)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11779), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11779), _u11782), hAPP(c_Int_Onumber__class_Onumber__of(_u11779), _u11781))), _u11780)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11779), hAPP(c_Int_Onumber__class_Onumber__of(_u11779), _u11781)), c_Groups_Ozero__class_Ozero(_u11779))) )).
% 39.89/40.08 cnf(fact_divide__less__eq__number__of1-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11779) | ~class_Int_Onumber(_u11779) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11779), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11779), _u11780), hAPP(c_Int_Onumber__class_Onumber__of(_u11779), _u11781))), _u11782)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11779), _u11780), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11779), _u11782), hAPP(c_Int_Onumber__class_Onumber__of(_u11779), _u11781)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11779), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11779), _u11782), hAPP(c_Int_Onumber__class_Onumber__of(_u11779), _u11781))), _u11780)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11779), c_Groups_Ozero__class_Ozero(_u11779)), _u11782)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_Nats__1 ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_Nats__1-1, axiom, ( ~class_Rings_Osemiring__1(_u11783) | hBOOL(hAPP(hAPP(c_member(_u11783), c_Groups_Oone__class_Oone(_u11783)), c_Nat_Osemiring__1__class_ONats(_u11783))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_of__nat__in__Nats ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_of__nat__in__Nats-1, axiom, ( ~class_Rings_Osemiring__1(_u11784) | hBOOL(hAPP(hAPP(c_member(_u11784), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u11784), _u11785)), c_Nat_Osemiring__1__class_ONats(_u11784))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_power__diff ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_power__diff-1, axiom, ( ~class_Fields_Ofield(_u11786) | ( _u11787 = c_Groups_Ozero__class_Ozero(_u11786)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11788), _u11789)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11786), _u11787), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u11789), _u11788)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11786), hAPP(hAPP(c_Power_Opower__class_Opower(_u11786), _u11787), _u11789)), hAPP(hAPP(c_Power_Opower__class_Opower(_u11786), _u11787), _u11788))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_minus1__divide ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_minus1__divide-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u11790) | ~class_Int_Onumber__ring(_u11790) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11790), hAPP(c_Int_Onumber__class_Onumber__of(_u11790), c_Int_OMin)), _u11791) = hAPP(c_Groups_Ouminus__class_Ouminus(_u11790), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11790), c_Groups_Oone__class_Oone(_u11790)), _u11791))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_divide__le__eq__number__of1 ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_divide__le__eq__number__of1-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11792) | ~class_Int_Onumber(_u11792) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11792), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11792), _u11793), hAPP(c_Int_Onumber__class_Onumber__of(_u11792), _u11794))), _u11795)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11792), c_Groups_Ozero__class_Ozero(_u11792)), hAPP(c_Int_Onumber__class_Onumber__of(_u11792), _u11794))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11792), _u11793), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11792), _u11795), hAPP(c_Int_Onumber__class_Onumber__of(_u11792), _u11794)))) )).
% 39.89/40.08 cnf(fact_divide__le__eq__number__of1-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11792) | ~class_Int_Onumber(_u11792) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11792), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11792), _u11793), hAPP(c_Int_Onumber__class_Onumber__of(_u11792), _u11794))), _u11795)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11792), c_Groups_Ozero__class_Ozero(_u11792)), hAPP(c_Int_Onumber__class_Onumber__of(_u11792), _u11794))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11792), hAPP(c_Int_Onumber__class_Onumber__of(_u11792), _u11794)), c_Groups_Ozero__class_Ozero(_u11792))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11792), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11792), _u11795), hAPP(c_Int_Onumber__class_Onumber__of(_u11792), _u11794))), _u11793)) )).
% 39.89/40.08 cnf(fact_divide__le__eq__number__of1-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11792) | ~class_Int_Onumber(_u11792) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11792), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11792), _u11793), hAPP(c_Int_Onumber__class_Onumber__of(_u11792), _u11794))), _u11795)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11792), c_Groups_Ozero__class_Ozero(_u11792)), hAPP(c_Int_Onumber__class_Onumber__of(_u11792), _u11794))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11792), hAPP(c_Int_Onumber__class_Onumber__of(_u11792), _u11794)), c_Groups_Ozero__class_Ozero(_u11792))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11792), c_Groups_Ozero__class_Ozero(_u11792)), _u11795)) )).
% 39.89/40.08 cnf(fact_divide__le__eq__number__of1-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11792) | ~class_Int_Onumber(_u11792) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11792), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11792), _u11793), hAPP(c_Int_Onumber__class_Onumber__of(_u11792), _u11794))), _u11795)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11792), c_Groups_Ozero__class_Ozero(_u11792)), hAPP(c_Int_Onumber__class_Onumber__of(_u11792), _u11794))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11792), hAPP(c_Int_Onumber__class_Onumber__of(_u11792), _u11794)), c_Groups_Ozero__class_Ozero(_u11792))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11792), c_Groups_Ozero__class_Ozero(_u11792)), _u11795)) )).
% 39.89/40.08 cnf(fact_divide__le__eq__number__of1-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11792) | ~class_Int_Onumber(_u11792) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11792), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11792), _u11793), hAPP(c_Int_Onumber__class_Onumber__of(_u11792), _u11794))), _u11795)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11792), c_Groups_Ozero__class_Ozero(_u11792)), hAPP(c_Int_Onumber__class_Onumber__of(_u11792), _u11794))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11792), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11792), _u11795), hAPP(c_Int_Onumber__class_Onumber__of(_u11792), _u11794))), _u11793)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11792), hAPP(c_Int_Onumber__class_Onumber__of(_u11792), _u11794)), c_Groups_Ozero__class_Ozero(_u11792))) )).
% 39.89/40.08 cnf(fact_divide__le__eq__number__of1-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11792) | ~class_Int_Onumber(_u11792) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11792), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11792), _u11793), hAPP(c_Int_Onumber__class_Onumber__of(_u11792), _u11794))), _u11795)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11792), c_Groups_Ozero__class_Ozero(_u11792)), hAPP(c_Int_Onumber__class_Onumber__of(_u11792), _u11794))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11792), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11792), _u11795), hAPP(c_Int_Onumber__class_Onumber__of(_u11792), _u11794))), _u11793)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11792), c_Groups_Ozero__class_Ozero(_u11792)), _u11795)) )).
% 39.89/40.08 cnf(fact_divide__le__eq__number__of1-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11792) | ~class_Int_Onumber(_u11792) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11792), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11792), _u11793), hAPP(c_Int_Onumber__class_Onumber__of(_u11792), _u11794))), _u11795)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11792), _u11793), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11792), _u11795), hAPP(c_Int_Onumber__class_Onumber__of(_u11792), _u11794)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11792), c_Groups_Ozero__class_Ozero(_u11792)), hAPP(c_Int_Onumber__class_Onumber__of(_u11792), _u11794))) )).
% 39.89/40.08 cnf(fact_divide__le__eq__number__of1-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11792) | ~class_Int_Onumber(_u11792) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11792), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11792), _u11793), hAPP(c_Int_Onumber__class_Onumber__of(_u11792), _u11794))), _u11795)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11792), _u11793), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11792), _u11795), hAPP(c_Int_Onumber__class_Onumber__of(_u11792), _u11794)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11792), hAPP(c_Int_Onumber__class_Onumber__of(_u11792), _u11794)), c_Groups_Ozero__class_Ozero(_u11792))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11792), c_Groups_Ozero__class_Ozero(_u11792)), _u11795)) )).
% 39.89/40.08 cnf(fact_divide__le__eq__number__of1-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11792) | ~class_Int_Onumber(_u11792) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11792), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11792), _u11793), hAPP(c_Int_Onumber__class_Onumber__of(_u11792), _u11794))), _u11795)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11792), _u11793), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11792), _u11795), hAPP(c_Int_Onumber__class_Onumber__of(_u11792), _u11794)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11792), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11792), _u11795), hAPP(c_Int_Onumber__class_Onumber__of(_u11792), _u11794))), _u11793)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11792), hAPP(c_Int_Onumber__class_Onumber__of(_u11792), _u11794)), c_Groups_Ozero__class_Ozero(_u11792))) )).
% 39.89/40.08 cnf(fact_divide__le__eq__number__of1-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11792) | ~class_Int_Onumber(_u11792) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11792), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11792), _u11793), hAPP(c_Int_Onumber__class_Onumber__of(_u11792), _u11794))), _u11795)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11792), _u11793), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11792), _u11795), hAPP(c_Int_Onumber__class_Onumber__of(_u11792), _u11794)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11792), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11792), _u11795), hAPP(c_Int_Onumber__class_Onumber__of(_u11792), _u11794))), _u11793)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11792), c_Groups_Ozero__class_Ozero(_u11792)), _u11795)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_divide__le__eq__number__of ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_divide__le__eq__number__of-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11796) | ~class_Int_Onumber(_u11796) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11796), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11796), _u11797), _u11798)), hAPP(c_Int_Onumber__class_Onumber__of(_u11796), _u11799))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11796), c_Groups_Ozero__class_Ozero(_u11796)), _u11798)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11796), _u11797), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11796), hAPP(c_Int_Onumber__class_Onumber__of(_u11796), _u11799)), _u11798))) )).
% 39.89/40.08 cnf(fact_divide__le__eq__number__of-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11796) | ~class_Int_Onumber(_u11796) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11796), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11796), _u11797), _u11798)), hAPP(c_Int_Onumber__class_Onumber__of(_u11796), _u11799))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11796), c_Groups_Ozero__class_Ozero(_u11796)), _u11798)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11796), _u11798), c_Groups_Ozero__class_Ozero(_u11796))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11796), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11796), hAPP(c_Int_Onumber__class_Onumber__of(_u11796), _u11799)), _u11798)), _u11797)) )).
% 39.89/40.08 cnf(fact_divide__le__eq__number__of-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11796) | ~class_Int_Onumber(_u11796) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11796), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11796), _u11797), _u11798)), hAPP(c_Int_Onumber__class_Onumber__of(_u11796), _u11799))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11796), c_Groups_Ozero__class_Ozero(_u11796)), _u11798)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11796), _u11798), c_Groups_Ozero__class_Ozero(_u11796))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11796), c_Groups_Ozero__class_Ozero(_u11796)), hAPP(c_Int_Onumber__class_Onumber__of(_u11796), _u11799))) )).
% 39.89/40.08 cnf(fact_divide__le__eq__number__of-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11796) | ~class_Int_Onumber(_u11796) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11796), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11796), _u11797), _u11798)), hAPP(c_Int_Onumber__class_Onumber__of(_u11796), _u11799))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11796), c_Groups_Ozero__class_Ozero(_u11796)), _u11798)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11796), _u11798), c_Groups_Ozero__class_Ozero(_u11796))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11796), c_Groups_Ozero__class_Ozero(_u11796)), hAPP(c_Int_Onumber__class_Onumber__of(_u11796), _u11799))) )).
% 39.89/40.08 cnf(fact_divide__le__eq__number__of-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11796) | ~class_Int_Onumber(_u11796) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11796), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11796), _u11797), _u11798)), hAPP(c_Int_Onumber__class_Onumber__of(_u11796), _u11799))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11796), c_Groups_Ozero__class_Ozero(_u11796)), _u11798)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11796), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11796), hAPP(c_Int_Onumber__class_Onumber__of(_u11796), _u11799)), _u11798)), _u11797)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11796), _u11798), c_Groups_Ozero__class_Ozero(_u11796))) )).
% 39.89/40.08 cnf(fact_divide__le__eq__number__of-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11796) | ~class_Int_Onumber(_u11796) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11796), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11796), _u11797), _u11798)), hAPP(c_Int_Onumber__class_Onumber__of(_u11796), _u11799))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11796), c_Groups_Ozero__class_Ozero(_u11796)), _u11798)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11796), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11796), hAPP(c_Int_Onumber__class_Onumber__of(_u11796), _u11799)), _u11798)), _u11797)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11796), c_Groups_Ozero__class_Ozero(_u11796)), hAPP(c_Int_Onumber__class_Onumber__of(_u11796), _u11799))) )).
% 39.89/40.08 cnf(fact_divide__le__eq__number__of-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11796) | ~class_Int_Onumber(_u11796) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11796), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11796), _u11797), _u11798)), hAPP(c_Int_Onumber__class_Onumber__of(_u11796), _u11799))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11796), _u11797), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11796), hAPP(c_Int_Onumber__class_Onumber__of(_u11796), _u11799)), _u11798))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11796), c_Groups_Ozero__class_Ozero(_u11796)), _u11798)) )).
% 39.89/40.08 cnf(fact_divide__le__eq__number__of-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11796) | ~class_Int_Onumber(_u11796) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11796), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11796), _u11797), _u11798)), hAPP(c_Int_Onumber__class_Onumber__of(_u11796), _u11799))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11796), _u11797), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11796), hAPP(c_Int_Onumber__class_Onumber__of(_u11796), _u11799)), _u11798))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11796), _u11798), c_Groups_Ozero__class_Ozero(_u11796))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11796), c_Groups_Ozero__class_Ozero(_u11796)), hAPP(c_Int_Onumber__class_Onumber__of(_u11796), _u11799))) )).
% 39.89/40.08 cnf(fact_divide__le__eq__number__of-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11796) | ~class_Int_Onumber(_u11796) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11796), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11796), _u11797), _u11798)), hAPP(c_Int_Onumber__class_Onumber__of(_u11796), _u11799))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11796), _u11797), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11796), hAPP(c_Int_Onumber__class_Onumber__of(_u11796), _u11799)), _u11798))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11796), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11796), hAPP(c_Int_Onumber__class_Onumber__of(_u11796), _u11799)), _u11798)), _u11797)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11796), _u11798), c_Groups_Ozero__class_Ozero(_u11796))) )).
% 39.89/40.08 cnf(fact_divide__le__eq__number__of-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11796) | ~class_Int_Onumber(_u11796) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11796), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11796), _u11797), _u11798)), hAPP(c_Int_Onumber__class_Onumber__of(_u11796), _u11799))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11796), _u11797), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11796), hAPP(c_Int_Onumber__class_Onumber__of(_u11796), _u11799)), _u11798))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11796), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11796), hAPP(c_Int_Onumber__class_Onumber__of(_u11796), _u11799)), _u11798)), _u11797)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11796), c_Groups_Ozero__class_Ozero(_u11796)), hAPP(c_Int_Onumber__class_Onumber__of(_u11796), _u11799))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_le__divide__eq__number__of ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_le__divide__eq__number__of-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11800) | ~class_Int_Onumber(_u11800) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11800), hAPP(c_Int_Onumber__class_Onumber__of(_u11800), _u11801)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11800), _u11802), _u11803))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11800), c_Groups_Ozero__class_Ozero(_u11800)), _u11803)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11800), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11800), hAPP(c_Int_Onumber__class_Onumber__of(_u11800), _u11801)), _u11803)), _u11802)) )).
% 39.89/40.08 cnf(fact_le__divide__eq__number__of-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11800) | ~class_Int_Onumber(_u11800) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11800), hAPP(c_Int_Onumber__class_Onumber__of(_u11800), _u11801)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11800), _u11802), _u11803))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11800), c_Groups_Ozero__class_Ozero(_u11800)), _u11803)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11800), _u11803), c_Groups_Ozero__class_Ozero(_u11800))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11800), _u11802), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11800), hAPP(c_Int_Onumber__class_Onumber__of(_u11800), _u11801)), _u11803))) )).
% 39.89/40.08 cnf(fact_le__divide__eq__number__of-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11800) | ~class_Int_Onumber(_u11800) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11800), hAPP(c_Int_Onumber__class_Onumber__of(_u11800), _u11801)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11800), _u11802), _u11803))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11800), c_Groups_Ozero__class_Ozero(_u11800)), _u11803)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11800), _u11803), c_Groups_Ozero__class_Ozero(_u11800))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11800), hAPP(c_Int_Onumber__class_Onumber__of(_u11800), _u11801)), c_Groups_Ozero__class_Ozero(_u11800))) )).
% 39.89/40.08 cnf(fact_le__divide__eq__number__of-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11800) | ~class_Int_Onumber(_u11800) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11800), hAPP(c_Int_Onumber__class_Onumber__of(_u11800), _u11801)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11800), _u11802), _u11803))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11800), c_Groups_Ozero__class_Ozero(_u11800)), _u11803)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11800), _u11803), c_Groups_Ozero__class_Ozero(_u11800))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11800), hAPP(c_Int_Onumber__class_Onumber__of(_u11800), _u11801)), c_Groups_Ozero__class_Ozero(_u11800))) )).
% 39.89/40.08 cnf(fact_le__divide__eq__number__of-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11800) | ~class_Int_Onumber(_u11800) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11800), hAPP(c_Int_Onumber__class_Onumber__of(_u11800), _u11801)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11800), _u11802), _u11803))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11800), c_Groups_Ozero__class_Ozero(_u11800)), _u11803)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11800), _u11802), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11800), hAPP(c_Int_Onumber__class_Onumber__of(_u11800), _u11801)), _u11803))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11800), _u11803), c_Groups_Ozero__class_Ozero(_u11800))) )).
% 39.89/40.08 cnf(fact_le__divide__eq__number__of-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11800) | ~class_Int_Onumber(_u11800) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11800), hAPP(c_Int_Onumber__class_Onumber__of(_u11800), _u11801)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11800), _u11802), _u11803))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11800), c_Groups_Ozero__class_Ozero(_u11800)), _u11803)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11800), _u11802), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11800), hAPP(c_Int_Onumber__class_Onumber__of(_u11800), _u11801)), _u11803))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11800), hAPP(c_Int_Onumber__class_Onumber__of(_u11800), _u11801)), c_Groups_Ozero__class_Ozero(_u11800))) )).
% 39.89/40.08 cnf(fact_le__divide__eq__number__of-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11800) | ~class_Int_Onumber(_u11800) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11800), hAPP(c_Int_Onumber__class_Onumber__of(_u11800), _u11801)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11800), _u11802), _u11803))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11800), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11800), hAPP(c_Int_Onumber__class_Onumber__of(_u11800), _u11801)), _u11803)), _u11802)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11800), c_Groups_Ozero__class_Ozero(_u11800)), _u11803)) )).
% 39.89/40.08 cnf(fact_le__divide__eq__number__of-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11800) | ~class_Int_Onumber(_u11800) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11800), hAPP(c_Int_Onumber__class_Onumber__of(_u11800), _u11801)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11800), _u11802), _u11803))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11800), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11800), hAPP(c_Int_Onumber__class_Onumber__of(_u11800), _u11801)), _u11803)), _u11802)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11800), _u11803), c_Groups_Ozero__class_Ozero(_u11800))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11800), hAPP(c_Int_Onumber__class_Onumber__of(_u11800), _u11801)), c_Groups_Ozero__class_Ozero(_u11800))) )).
% 39.89/40.08 cnf(fact_le__divide__eq__number__of-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11800) | ~class_Int_Onumber(_u11800) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11800), hAPP(c_Int_Onumber__class_Onumber__of(_u11800), _u11801)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11800), _u11802), _u11803))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11800), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11800), hAPP(c_Int_Onumber__class_Onumber__of(_u11800), _u11801)), _u11803)), _u11802)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11800), _u11802), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11800), hAPP(c_Int_Onumber__class_Onumber__of(_u11800), _u11801)), _u11803))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11800), _u11803), c_Groups_Ozero__class_Ozero(_u11800))) )).
% 39.89/40.08 cnf(fact_le__divide__eq__number__of-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11800) | ~class_Int_Onumber(_u11800) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11800), hAPP(c_Int_Onumber__class_Onumber__of(_u11800), _u11801)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11800), _u11802), _u11803))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11800), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11800), hAPP(c_Int_Onumber__class_Onumber__of(_u11800), _u11801)), _u11803)), _u11802)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11800), _u11802), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11800), hAPP(c_Int_Onumber__class_Onumber__of(_u11800), _u11801)), _u11803))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11800), hAPP(c_Int_Onumber__class_Onumber__of(_u11800), _u11801)), c_Groups_Ozero__class_Ozero(_u11800))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_le__divide__eq__number__of1 ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_le__divide__eq__number__of1-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11804) | ~class_Int_Onumber(_u11804) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11804), _u11805), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11804), _u11806), hAPP(c_Int_Onumber__class_Onumber__of(_u11804), _u11807)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11804), c_Groups_Ozero__class_Ozero(_u11804)), hAPP(c_Int_Onumber__class_Onumber__of(_u11804), _u11807))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11804), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11804), _u11805), hAPP(c_Int_Onumber__class_Onumber__of(_u11804), _u11807))), _u11806)) )).
% 39.89/40.08 cnf(fact_le__divide__eq__number__of1-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11804) | ~class_Int_Onumber(_u11804) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11804), _u11805), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11804), _u11806), hAPP(c_Int_Onumber__class_Onumber__of(_u11804), _u11807)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11804), c_Groups_Ozero__class_Ozero(_u11804)), hAPP(c_Int_Onumber__class_Onumber__of(_u11804), _u11807))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11804), hAPP(c_Int_Onumber__class_Onumber__of(_u11804), _u11807)), c_Groups_Ozero__class_Ozero(_u11804))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11804), _u11806), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11804), _u11805), hAPP(c_Int_Onumber__class_Onumber__of(_u11804), _u11807)))) )).
% 39.89/40.08 cnf(fact_le__divide__eq__number__of1-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11804) | ~class_Int_Onumber(_u11804) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11804), _u11805), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11804), _u11806), hAPP(c_Int_Onumber__class_Onumber__of(_u11804), _u11807)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11804), c_Groups_Ozero__class_Ozero(_u11804)), hAPP(c_Int_Onumber__class_Onumber__of(_u11804), _u11807))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11804), hAPP(c_Int_Onumber__class_Onumber__of(_u11804), _u11807)), c_Groups_Ozero__class_Ozero(_u11804))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11804), _u11805), c_Groups_Ozero__class_Ozero(_u11804))) )).
% 39.89/40.08 cnf(fact_le__divide__eq__number__of1-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11804) | ~class_Int_Onumber(_u11804) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11804), _u11805), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11804), _u11806), hAPP(c_Int_Onumber__class_Onumber__of(_u11804), _u11807)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11804), c_Groups_Ozero__class_Ozero(_u11804)), hAPP(c_Int_Onumber__class_Onumber__of(_u11804), _u11807))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11804), hAPP(c_Int_Onumber__class_Onumber__of(_u11804), _u11807)), c_Groups_Ozero__class_Ozero(_u11804))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11804), _u11805), c_Groups_Ozero__class_Ozero(_u11804))) )).
% 39.89/40.08 cnf(fact_le__divide__eq__number__of1-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11804) | ~class_Int_Onumber(_u11804) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11804), _u11805), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11804), _u11806), hAPP(c_Int_Onumber__class_Onumber__of(_u11804), _u11807)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11804), c_Groups_Ozero__class_Ozero(_u11804)), hAPP(c_Int_Onumber__class_Onumber__of(_u11804), _u11807))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11804), _u11806), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11804), _u11805), hAPP(c_Int_Onumber__class_Onumber__of(_u11804), _u11807)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11804), hAPP(c_Int_Onumber__class_Onumber__of(_u11804), _u11807)), c_Groups_Ozero__class_Ozero(_u11804))) )).
% 39.89/40.08 cnf(fact_le__divide__eq__number__of1-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11804) | ~class_Int_Onumber(_u11804) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11804), _u11805), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11804), _u11806), hAPP(c_Int_Onumber__class_Onumber__of(_u11804), _u11807)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11804), c_Groups_Ozero__class_Ozero(_u11804)), hAPP(c_Int_Onumber__class_Onumber__of(_u11804), _u11807))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11804), _u11806), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11804), _u11805), hAPP(c_Int_Onumber__class_Onumber__of(_u11804), _u11807)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11804), _u11805), c_Groups_Ozero__class_Ozero(_u11804))) )).
% 39.89/40.08 cnf(fact_le__divide__eq__number__of1-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11804) | ~class_Int_Onumber(_u11804) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11804), _u11805), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11804), _u11806), hAPP(c_Int_Onumber__class_Onumber__of(_u11804), _u11807)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11804), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11804), _u11805), hAPP(c_Int_Onumber__class_Onumber__of(_u11804), _u11807))), _u11806)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11804), c_Groups_Ozero__class_Ozero(_u11804)), hAPP(c_Int_Onumber__class_Onumber__of(_u11804), _u11807))) )).
% 39.89/40.08 cnf(fact_le__divide__eq__number__of1-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11804) | ~class_Int_Onumber(_u11804) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11804), _u11805), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11804), _u11806), hAPP(c_Int_Onumber__class_Onumber__of(_u11804), _u11807)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11804), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11804), _u11805), hAPP(c_Int_Onumber__class_Onumber__of(_u11804), _u11807))), _u11806)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11804), hAPP(c_Int_Onumber__class_Onumber__of(_u11804), _u11807)), c_Groups_Ozero__class_Ozero(_u11804))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11804), _u11805), c_Groups_Ozero__class_Ozero(_u11804))) )).
% 39.89/40.08 cnf(fact_le__divide__eq__number__of1-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11804) | ~class_Int_Onumber(_u11804) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11804), _u11805), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11804), _u11806), hAPP(c_Int_Onumber__class_Onumber__of(_u11804), _u11807)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11804), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11804), _u11805), hAPP(c_Int_Onumber__class_Onumber__of(_u11804), _u11807))), _u11806)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11804), _u11806), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11804), _u11805), hAPP(c_Int_Onumber__class_Onumber__of(_u11804), _u11807)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11804), hAPP(c_Int_Onumber__class_Onumber__of(_u11804), _u11807)), c_Groups_Ozero__class_Ozero(_u11804))) )).
% 39.89/40.08 cnf(fact_le__divide__eq__number__of1-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11804) | ~class_Int_Onumber(_u11804) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11804), _u11805), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11804), _u11806), hAPP(c_Int_Onumber__class_Onumber__of(_u11804), _u11807)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11804), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11804), _u11805), hAPP(c_Int_Onumber__class_Onumber__of(_u11804), _u11807))), _u11806)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11804), _u11806), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11804), _u11805), hAPP(c_Int_Onumber__class_Onumber__of(_u11804), _u11807)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11804), _u11805), c_Groups_Ozero__class_Ozero(_u11804))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_half__gt__zero ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_half__gt__zero-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11808) | ~class_Int_Onumber__ring(_u11808) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11808), c_Groups_Ozero__class_Ozero(_u11808)), _u11809)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11808), c_Groups_Ozero__class_Ozero(_u11808)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11808), _u11809), hAPP(c_Int_Onumber__class_Onumber__of(_u11808), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_half__gt__zero__iff ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_half__gt__zero__iff-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11810) | ~class_Int_Onumber__ring(_u11810) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11810), c_Groups_Ozero__class_Ozero(_u11810)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11810), _u11811), hAPP(c_Int_Onumber__class_Onumber__of(_u11810), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11810), c_Groups_Ozero__class_Ozero(_u11810)), _u11811)) )).
% 39.89/40.08 cnf(fact_half__gt__zero__iff-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11810) | ~class_Int_Onumber__ring(_u11810) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11810), c_Groups_Ozero__class_Ozero(_u11810)), _u11811)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11810), c_Groups_Ozero__class_Ozero(_u11810)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11810), _u11811), hAPP(c_Int_Onumber__class_Onumber__of(_u11810), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_geometric__sum ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_geometric__sum-1, axiom, ( ~class_Fields_Ofield(_u11812) | ( _u11813 = c_Groups_Oone__class_Oone(_u11812)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11812), hAPP(c_Power_Opower__class_Opower(_u11812), _u11813)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11814)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11812), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11812), hAPP(hAPP(c_Power_Opower__class_Opower(_u11812), _u11813), _u11814)), c_Groups_Oone__class_Oone(_u11812))), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11812), _u11813), c_Groups_Oone__class_Oone(_u11812)))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_divide__left__mono__neg ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_divide__left__mono__neg-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11815) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11815), _u11816), _u11817)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11815), _u11818), c_Groups_Ozero__class_Ozero(_u11815))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11815), c_Groups_Ozero__class_Ozero(_u11815)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11815), _u11816), _u11817))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11815), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11815), _u11818), _u11816)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11815), _u11818), _u11817))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_divide__left__mono ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_divide__left__mono-1, axiom, ( ~class_Fields_Olinordered__field(_u11819) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11819), _u11820), _u11821)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11819), c_Groups_Ozero__class_Ozero(_u11819)), _u11822)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11819), c_Groups_Ozero__class_Ozero(_u11819)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11819), _u11821), _u11820))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11819), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11819), _u11822), _u11821)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11819), _u11822), _u11820))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_neg__divide__le__eq ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_neg__divide__le__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u11823) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11823), _u11824), c_Groups_Ozero__class_Ozero(_u11823))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11823), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11823), _u11825), _u11824)), _u11826)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11823), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11823), _u11826), _u11824)), _u11825)) )).
% 39.89/40.08 cnf(fact_neg__divide__le__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u11823) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11823), _u11824), c_Groups_Ozero__class_Ozero(_u11823))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11823), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11823), _u11826), _u11824)), _u11825)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11823), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11823), _u11825), _u11824)), _u11826)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_times__divide__times__eq ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_times__divide__times__eq-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u11827) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11827), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11827), _u11828), _u11829)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11827), _u11830), _u11831)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11827), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11827), _u11828), _u11830)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11827), _u11829), _u11831))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_minus__divide__right ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_minus__divide__right-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u11832) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u11832), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11832), _u11833), _u11834)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11832), _u11833), hAPP(c_Groups_Ouminus__class_Ouminus(_u11832), _u11834))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_minus__divide__divide ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_minus__divide__divide-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u11835) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11835), hAPP(c_Groups_Ouminus__class_Ouminus(_u11835), _u11836)), hAPP(c_Groups_Ouminus__class_Ouminus(_u11835), _u11837)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11835), _u11836), _u11837)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_divide__right__mono__neg ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_divide__right__mono__neg-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11838) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11838), _u11839), _u11840)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11838), _u11841), c_Groups_Ozero__class_Ozero(_u11838))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11838), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11838), _u11840), _u11841)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11838), _u11839), _u11841))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_divide__right__mono ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_divide__right__mono-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11842) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11842), _u11843), _u11844)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11842), c_Groups_Ozero__class_Ozero(_u11842)), _u11845)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11842), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11842), _u11843), _u11845)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11842), _u11844), _u11845))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_divide__le__0__iff ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_divide__le__0__iff-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11846) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11846), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11846), _u11847), _u11848)), c_Groups_Ozero__class_Ozero(_u11846))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11846), c_Groups_Ozero__class_Ozero(_u11846)), _u11847)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11846), _u11847), c_Groups_Ozero__class_Ozero(_u11846))) )).
% 39.89/40.08 cnf(fact_divide__le__0__iff-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11846) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11846), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11846), _u11847), _u11848)), c_Groups_Ozero__class_Ozero(_u11846))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11846), c_Groups_Ozero__class_Ozero(_u11846)), _u11847)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11846), c_Groups_Ozero__class_Ozero(_u11846)), _u11848)) )).
% 39.89/40.08 cnf(fact_divide__le__0__iff-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11846) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11846), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11846), _u11847), _u11848)), c_Groups_Ozero__class_Ozero(_u11846))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11846), _u11848), c_Groups_Ozero__class_Ozero(_u11846))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11846), _u11847), c_Groups_Ozero__class_Ozero(_u11846))) )).
% 39.89/40.08 cnf(fact_divide__le__0__iff-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11846) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11846), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11846), _u11847), _u11848)), c_Groups_Ozero__class_Ozero(_u11846))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11846), _u11848), c_Groups_Ozero__class_Ozero(_u11846))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11846), c_Groups_Ozero__class_Ozero(_u11846)), _u11848)) )).
% 39.89/40.08 cnf(fact_divide__le__0__iff-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11846) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11846), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11846), _u11847), _u11848)), c_Groups_Ozero__class_Ozero(_u11846))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11846), c_Groups_Ozero__class_Ozero(_u11846)), _u11847)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11846), _u11848), c_Groups_Ozero__class_Ozero(_u11846))) )).
% 39.89/40.08 cnf(fact_divide__le__0__iff-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11846) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11846), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11846), _u11847), _u11848)), c_Groups_Ozero__class_Ozero(_u11846))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11846), _u11847), c_Groups_Ozero__class_Ozero(_u11846))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11846), c_Groups_Ozero__class_Ozero(_u11846)), _u11848)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_zero__le__divide__iff ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_zero__le__divide__iff-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11849) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11849), c_Groups_Ozero__class_Ozero(_u11849)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11849), _u11850), _u11851))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11849), c_Groups_Ozero__class_Ozero(_u11849)), _u11850)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11849), _u11850), c_Groups_Ozero__class_Ozero(_u11849))) )).
% 39.89/40.08 cnf(fact_zero__le__divide__iff-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11849) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11849), c_Groups_Ozero__class_Ozero(_u11849)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11849), _u11850), _u11851))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11849), c_Groups_Ozero__class_Ozero(_u11849)), _u11850)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11849), _u11851), c_Groups_Ozero__class_Ozero(_u11849))) )).
% 39.89/40.08 cnf(fact_zero__le__divide__iff-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11849) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11849), c_Groups_Ozero__class_Ozero(_u11849)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11849), _u11850), _u11851))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11849), c_Groups_Ozero__class_Ozero(_u11849)), _u11851)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11849), _u11850), c_Groups_Ozero__class_Ozero(_u11849))) )).
% 39.89/40.08 cnf(fact_zero__le__divide__iff-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11849) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11849), c_Groups_Ozero__class_Ozero(_u11849)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11849), _u11850), _u11851))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11849), c_Groups_Ozero__class_Ozero(_u11849)), _u11851)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11849), _u11851), c_Groups_Ozero__class_Ozero(_u11849))) )).
% 39.89/40.08 cnf(fact_zero__le__divide__iff-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11849) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11849), c_Groups_Ozero__class_Ozero(_u11849)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11849), _u11850), _u11851))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11849), c_Groups_Ozero__class_Ozero(_u11849)), _u11850)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11849), c_Groups_Ozero__class_Ozero(_u11849)), _u11851)) )).
% 39.89/40.08 cnf(fact_zero__le__divide__iff-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11849) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11849), c_Groups_Ozero__class_Ozero(_u11849)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11849), _u11850), _u11851))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11849), _u11850), c_Groups_Ozero__class_Ozero(_u11849))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11849), _u11851), c_Groups_Ozero__class_Ozero(_u11849))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_zero__less__divide__iff ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_zero__less__divide__iff-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11852) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11852), c_Groups_Ozero__class_Ozero(_u11852)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11852), _u11853), _u11854))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11852), c_Groups_Ozero__class_Ozero(_u11852)), _u11853)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11852), _u11853), c_Groups_Ozero__class_Ozero(_u11852))) )).
% 39.89/40.08 cnf(fact_zero__less__divide__iff-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11852) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11852), c_Groups_Ozero__class_Ozero(_u11852)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11852), _u11853), _u11854))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11852), c_Groups_Ozero__class_Ozero(_u11852)), _u11853)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11852), _u11854), c_Groups_Ozero__class_Ozero(_u11852))) )).
% 39.89/40.08 cnf(fact_zero__less__divide__iff-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11852) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11852), c_Groups_Ozero__class_Ozero(_u11852)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11852), _u11853), _u11854))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11852), c_Groups_Ozero__class_Ozero(_u11852)), _u11854)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11852), _u11853), c_Groups_Ozero__class_Ozero(_u11852))) )).
% 39.89/40.08 cnf(fact_zero__less__divide__iff-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11852) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11852), c_Groups_Ozero__class_Ozero(_u11852)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11852), _u11853), _u11854))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11852), c_Groups_Ozero__class_Ozero(_u11852)), _u11854)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11852), _u11854), c_Groups_Ozero__class_Ozero(_u11852))) )).
% 39.89/40.08 cnf(fact_zero__less__divide__iff-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11852) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11852), c_Groups_Ozero__class_Ozero(_u11852)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11852), _u11853), _u11854))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11852), c_Groups_Ozero__class_Ozero(_u11852)), _u11853)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11852), c_Groups_Ozero__class_Ozero(_u11852)), _u11854)) )).
% 39.89/40.08 cnf(fact_zero__less__divide__iff-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11852) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11852), c_Groups_Ozero__class_Ozero(_u11852)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11852), _u11853), _u11854))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11852), _u11853), c_Groups_Ozero__class_Ozero(_u11852))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11852), _u11854), c_Groups_Ozero__class_Ozero(_u11852))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_divide__less__0__iff ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_divide__less__0__iff-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11855) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11855), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11855), _u11856), _u11857)), c_Groups_Ozero__class_Ozero(_u11855))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11855), c_Groups_Ozero__class_Ozero(_u11855)), _u11856)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11855), _u11856), c_Groups_Ozero__class_Ozero(_u11855))) )).
% 39.89/40.08 cnf(fact_divide__less__0__iff-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11855) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11855), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11855), _u11856), _u11857)), c_Groups_Ozero__class_Ozero(_u11855))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11855), c_Groups_Ozero__class_Ozero(_u11855)), _u11856)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11855), c_Groups_Ozero__class_Ozero(_u11855)), _u11857)) )).
% 39.89/40.08 cnf(fact_divide__less__0__iff-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11855) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11855), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11855), _u11856), _u11857)), c_Groups_Ozero__class_Ozero(_u11855))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11855), _u11857), c_Groups_Ozero__class_Ozero(_u11855))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11855), _u11856), c_Groups_Ozero__class_Ozero(_u11855))) )).
% 39.89/40.08 cnf(fact_divide__less__0__iff-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11855) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11855), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11855), _u11856), _u11857)), c_Groups_Ozero__class_Ozero(_u11855))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11855), _u11857), c_Groups_Ozero__class_Ozero(_u11855))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11855), c_Groups_Ozero__class_Ozero(_u11855)), _u11857)) )).
% 39.89/40.08 cnf(fact_divide__less__0__iff-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11855) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11855), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11855), _u11856), _u11857)), c_Groups_Ozero__class_Ozero(_u11855))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11855), c_Groups_Ozero__class_Ozero(_u11855)), _u11856)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11855), _u11857), c_Groups_Ozero__class_Ozero(_u11855))) )).
% 39.89/40.08 cnf(fact_divide__less__0__iff-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11855) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11855), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11855), _u11856), _u11857)), c_Groups_Ozero__class_Ozero(_u11855))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11855), _u11856), c_Groups_Ozero__class_Ozero(_u11855))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11855), c_Groups_Ozero__class_Ozero(_u11855)), _u11857)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_divide__pos__pos ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_divide__pos__pos-1, axiom, ( ~class_Fields_Olinordered__field(_u11858) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11858), c_Groups_Ozero__class_Ozero(_u11858)), _u11859)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11858), c_Groups_Ozero__class_Ozero(_u11858)), _u11860)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11858), c_Groups_Ozero__class_Ozero(_u11858)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11858), _u11859), _u11860))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_divide__pos__neg ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_divide__pos__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u11861) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11861), c_Groups_Ozero__class_Ozero(_u11861)), _u11862)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11861), _u11863), c_Groups_Ozero__class_Ozero(_u11861))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11861), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11861), _u11862), _u11863)), c_Groups_Ozero__class_Ozero(_u11861))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_divide__neg__pos ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_divide__neg__pos-1, axiom, ( ~class_Fields_Olinordered__field(_u11864) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11864), _u11865), c_Groups_Ozero__class_Ozero(_u11864))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11864), c_Groups_Ozero__class_Ozero(_u11864)), _u11866)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11864), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11864), _u11865), _u11866)), c_Groups_Ozero__class_Ozero(_u11864))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_divide__neg__neg ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_divide__neg__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u11867) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11867), _u11868), c_Groups_Ozero__class_Ozero(_u11867))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11867), _u11869), c_Groups_Ozero__class_Ozero(_u11867))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11867), c_Groups_Ozero__class_Ozero(_u11867)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11867), _u11868), _u11869))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_divide__strict__right__mono ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_divide__strict__right__mono-1, axiom, ( ~class_Fields_Olinordered__field(_u11870) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11870), _u11871), _u11872)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11870), c_Groups_Ozero__class_Ozero(_u11870)), _u11873)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11870), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11870), _u11871), _u11873)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11870), _u11872), _u11873))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_divide__strict__right__mono__neg ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_divide__strict__right__mono__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u11874) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11874), _u11875), _u11876)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11874), _u11877), c_Groups_Ozero__class_Ozero(_u11874))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11874), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11874), _u11876), _u11877)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11874), _u11875), _u11877))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_frac__eq__eq ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_frac__eq__eq-1, axiom, ( ~class_Fields_Ofield(_u11878) | ( _u11879 = c_Groups_Ozero__class_Ozero(_u11878)) | ( _u11880 = c_Groups_Ozero__class_Ozero(_u11878)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11878), _u11881), _u11879) != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11878), _u11882), _u11880)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11878), _u11881), _u11880) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11878), _u11882), _u11879)) )).
% 39.89/40.08 cnf(fact_frac__eq__eq-2, axiom, ( ~class_Fields_Ofield(_u11878) | ( _u11879 = c_Groups_Ozero__class_Ozero(_u11878)) | ( _u11880 = c_Groups_Ozero__class_Ozero(_u11878)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11878), _u11881), _u11880) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11878), _u11882), _u11879)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11878), _u11881), _u11879) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11878), _u11882), _u11880)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_mult__divide__mult__cancel__left ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_mult__divide__mult__cancel__left-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u11883) | ( _u11884 = c_Groups_Ozero__class_Ozero(_u11883)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11883), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11883), _u11884), _u11885)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11883), _u11884), _u11886)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11883), _u11885), _u11886)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_mult__divide__mult__cancel__right ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_mult__divide__mult__cancel__right-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u11887) | ( _u11888 = c_Groups_Ozero__class_Ozero(_u11887)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11887), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11887), _u11889), _u11888)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11887), _u11890), _u11888)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11887), _u11889), _u11890)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_divide__eq__eq ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_divide__eq__eq-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u11891) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11891), _u11892), _u11893) != _u11894) | ( _u11893 = c_Groups_Ozero__class_Ozero(_u11891)) | ( _u11892 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11891), _u11894), _u11893)) )).
% 39.89/40.08 cnf(fact_divide__eq__eq-2, axiom, ( ~class_Fields_Ofield__inverse__zero(_u11891) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11891), _u11892), _u11893) != _u11894) | ( _u11893 != c_Groups_Ozero__class_Ozero(_u11891)) | ( _u11894 = c_Groups_Ozero__class_Ozero(_u11891)) )).
% 39.89/40.08 cnf(fact_divide__eq__eq-3, axiom, ( ~class_Fields_Ofield__inverse__zero(_u11891) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11891), _u11892), _u11893) = _u11894) | ( _u11893 != c_Groups_Ozero__class_Ozero(_u11891)) | ( _u11894 != c_Groups_Ozero__class_Ozero(_u11891)) )).
% 39.89/40.08 cnf(fact_divide__eq__eq-4, axiom, ( ~class_Fields_Ofield__inverse__zero(_u11891) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11891), _u11892), _u11893) = _u11894) | ( _u11892 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11891), _u11894), _u11893)) | ( _u11893 = c_Groups_Ozero__class_Ozero(_u11891)) )).
% 39.89/40.08 cnf(fact_divide__eq__eq-5, axiom, ( ~class_Fields_Ofield__inverse__zero(_u11891) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11891), _u11892), _u11893) = _u11894) | ( _u11892 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11891), _u11894), _u11893)) | ( _u11894 != c_Groups_Ozero__class_Ozero(_u11891)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_eq__divide__eq ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_eq__divide__eq-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u11895) | ( _u11896 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11895), _u11897), _u11898)) | ( _u11898 = c_Groups_Ozero__class_Ozero(_u11895)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11895), _u11896), _u11898) = _u11897) )).
% 39.89/40.08 cnf(fact_eq__divide__eq-2, axiom, ( ~class_Fields_Ofield__inverse__zero(_u11895) | ( _u11896 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11895), _u11897), _u11898)) | ( _u11898 != c_Groups_Ozero__class_Ozero(_u11895)) | ( _u11896 = c_Groups_Ozero__class_Ozero(_u11895)) )).
% 39.89/40.08 cnf(fact_eq__divide__eq-3, axiom, ( ~class_Fields_Ofield__inverse__zero(_u11895) | ( _u11896 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11895), _u11897), _u11898)) | ( _u11898 != c_Groups_Ozero__class_Ozero(_u11895)) | ( _u11896 != c_Groups_Ozero__class_Ozero(_u11895)) )).
% 39.89/40.08 cnf(fact_eq__divide__eq-4, axiom, ( ~class_Fields_Ofield__inverse__zero(_u11895) | ( _u11896 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11895), _u11897), _u11898)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11895), _u11896), _u11898) != _u11897) | ( _u11898 = c_Groups_Ozero__class_Ozero(_u11895)) )).
% 39.89/40.08 cnf(fact_eq__divide__eq-5, axiom, ( ~class_Fields_Ofield__inverse__zero(_u11895) | ( _u11896 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11895), _u11897), _u11898)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11895), _u11896), _u11898) != _u11897) | ( _u11896 != c_Groups_Ozero__class_Ozero(_u11895)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_divide__nonneg__pos ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_divide__nonneg__pos-1, axiom, ( ~class_Fields_Olinordered__field(_u11899) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11899), c_Groups_Ozero__class_Ozero(_u11899)), _u11900)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11899), c_Groups_Ozero__class_Ozero(_u11899)), _u11901)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11899), c_Groups_Ozero__class_Ozero(_u11899)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11899), _u11900), _u11901))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_divide__nonneg__neg ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_divide__nonneg__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u11902) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11902), c_Groups_Ozero__class_Ozero(_u11902)), _u11903)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11902), _u11904), c_Groups_Ozero__class_Ozero(_u11902))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11902), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11902), _u11903), _u11904)), c_Groups_Ozero__class_Ozero(_u11902))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_frac__less2 ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_frac__less2-1, axiom, ( ~class_Fields_Olinordered__field(_u11905) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11905), c_Groups_Ozero__class_Ozero(_u11905)), _u11906)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11905), _u11906), _u11907)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11905), c_Groups_Ozero__class_Ozero(_u11905)), _u11908)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11905), _u11908), _u11909)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11905), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11905), _u11906), _u11909)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11905), _u11907), _u11908))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_frac__less ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_frac__less-1, axiom, ( ~class_Fields_Olinordered__field(_u11910) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11910), c_Groups_Ozero__class_Ozero(_u11910)), _u11911)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11910), _u11911), _u11912)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11910), c_Groups_Ozero__class_Ozero(_u11910)), _u11913)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11910), _u11913), _u11914)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11910), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11910), _u11911), _u11914)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11910), _u11912), _u11913))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_frac__le ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_frac__le-1, axiom, ( ~class_Fields_Olinordered__field(_u11915) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11915), c_Groups_Ozero__class_Ozero(_u11915)), _u11916)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11915), _u11916), _u11917)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11915), c_Groups_Ozero__class_Ozero(_u11915)), _u11918)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11915), _u11918), _u11919)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11915), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11915), _u11916), _u11919)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11915), _u11917), _u11918))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_divide__nonpos__pos ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_divide__nonpos__pos-1, axiom, ( ~class_Fields_Olinordered__field(_u11920) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11920), _u11921), c_Groups_Ozero__class_Ozero(_u11920))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11920), c_Groups_Ozero__class_Ozero(_u11920)), _u11922)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11920), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11920), _u11921), _u11922)), c_Groups_Ozero__class_Ozero(_u11920))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_divide__nonpos__neg ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_divide__nonpos__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u11923) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11923), _u11924), c_Groups_Ozero__class_Ozero(_u11923))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11923), _u11925), c_Groups_Ozero__class_Ozero(_u11923))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11923), c_Groups_Ozero__class_Ozero(_u11923)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11923), _u11924), _u11925))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_less__divide__eq ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_less__divide__eq-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11926) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11926), _u11927), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11926), _u11928), _u11929))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11926), c_Groups_Ozero__class_Ozero(_u11926)), _u11929)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11926), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11926), _u11927), _u11929)), _u11928)) )).
% 39.89/40.08 cnf(fact_less__divide__eq-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11926) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11926), _u11927), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11926), _u11928), _u11929))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11926), c_Groups_Ozero__class_Ozero(_u11926)), _u11929)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11926), _u11929), c_Groups_Ozero__class_Ozero(_u11926))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11926), _u11928), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11926), _u11927), _u11929))) )).
% 39.89/40.08 cnf(fact_less__divide__eq-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11926) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11926), _u11927), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11926), _u11928), _u11929))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11926), c_Groups_Ozero__class_Ozero(_u11926)), _u11929)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11926), _u11929), c_Groups_Ozero__class_Ozero(_u11926))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11926), _u11927), c_Groups_Ozero__class_Ozero(_u11926))) )).
% 39.89/40.08 cnf(fact_less__divide__eq-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11926) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11926), _u11927), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11926), _u11928), _u11929))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11926), c_Groups_Ozero__class_Ozero(_u11926)), _u11929)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11926), _u11929), c_Groups_Ozero__class_Ozero(_u11926))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11926), _u11927), c_Groups_Ozero__class_Ozero(_u11926))) )).
% 39.89/40.08 cnf(fact_less__divide__eq-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11926) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11926), _u11927), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11926), _u11928), _u11929))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11926), c_Groups_Ozero__class_Ozero(_u11926)), _u11929)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11926), _u11928), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11926), _u11927), _u11929))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11926), _u11929), c_Groups_Ozero__class_Ozero(_u11926))) )).
% 39.89/40.08 cnf(fact_less__divide__eq-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11926) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11926), _u11927), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11926), _u11928), _u11929))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11926), c_Groups_Ozero__class_Ozero(_u11926)), _u11929)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11926), _u11928), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11926), _u11927), _u11929))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11926), _u11927), c_Groups_Ozero__class_Ozero(_u11926))) )).
% 39.89/40.08 cnf(fact_less__divide__eq-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11926) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11926), _u11927), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11926), _u11928), _u11929))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11926), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11926), _u11927), _u11929)), _u11928)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11926), c_Groups_Ozero__class_Ozero(_u11926)), _u11929)) )).
% 39.89/40.08 cnf(fact_less__divide__eq-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11926) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11926), _u11927), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11926), _u11928), _u11929))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11926), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11926), _u11927), _u11929)), _u11928)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11926), _u11929), c_Groups_Ozero__class_Ozero(_u11926))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11926), _u11927), c_Groups_Ozero__class_Ozero(_u11926))) )).
% 39.89/40.08 cnf(fact_less__divide__eq-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11926) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11926), _u11927), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11926), _u11928), _u11929))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11926), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11926), _u11927), _u11929)), _u11928)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11926), _u11928), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11926), _u11927), _u11929))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11926), _u11929), c_Groups_Ozero__class_Ozero(_u11926))) )).
% 39.89/40.08 cnf(fact_less__divide__eq-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11926) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11926), _u11927), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11926), _u11928), _u11929))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11926), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11926), _u11927), _u11929)), _u11928)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11926), _u11928), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11926), _u11927), _u11929))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11926), _u11927), c_Groups_Ozero__class_Ozero(_u11926))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_divide__less__eq ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_divide__less__eq-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11930) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11930), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11930), _u11931), _u11932)), _u11933)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11930), c_Groups_Ozero__class_Ozero(_u11930)), _u11932)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11930), _u11931), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11930), _u11933), _u11932))) )).
% 39.89/40.08 cnf(fact_divide__less__eq-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11930) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11930), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11930), _u11931), _u11932)), _u11933)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11930), c_Groups_Ozero__class_Ozero(_u11930)), _u11932)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11930), _u11932), c_Groups_Ozero__class_Ozero(_u11930))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11930), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11930), _u11933), _u11932)), _u11931)) )).
% 39.89/40.08 cnf(fact_divide__less__eq-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11930) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11930), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11930), _u11931), _u11932)), _u11933)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11930), c_Groups_Ozero__class_Ozero(_u11930)), _u11932)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11930), _u11932), c_Groups_Ozero__class_Ozero(_u11930))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11930), c_Groups_Ozero__class_Ozero(_u11930)), _u11933)) )).
% 39.89/40.08 cnf(fact_divide__less__eq-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11930) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11930), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11930), _u11931), _u11932)), _u11933)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11930), c_Groups_Ozero__class_Ozero(_u11930)), _u11932)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11930), _u11932), c_Groups_Ozero__class_Ozero(_u11930))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11930), c_Groups_Ozero__class_Ozero(_u11930)), _u11933)) )).
% 39.89/40.08 cnf(fact_divide__less__eq-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11930) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11930), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11930), _u11931), _u11932)), _u11933)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11930), c_Groups_Ozero__class_Ozero(_u11930)), _u11932)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11930), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11930), _u11933), _u11932)), _u11931)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11930), _u11932), c_Groups_Ozero__class_Ozero(_u11930))) )).
% 39.89/40.08 cnf(fact_divide__less__eq-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11930) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11930), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11930), _u11931), _u11932)), _u11933)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11930), c_Groups_Ozero__class_Ozero(_u11930)), _u11932)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11930), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11930), _u11933), _u11932)), _u11931)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11930), c_Groups_Ozero__class_Ozero(_u11930)), _u11933)) )).
% 39.89/40.08 cnf(fact_divide__less__eq-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11930) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11930), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11930), _u11931), _u11932)), _u11933)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11930), _u11931), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11930), _u11933), _u11932))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11930), c_Groups_Ozero__class_Ozero(_u11930)), _u11932)) )).
% 39.89/40.08 cnf(fact_divide__less__eq-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11930) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11930), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11930), _u11931), _u11932)), _u11933)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11930), _u11931), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11930), _u11933), _u11932))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11930), _u11932), c_Groups_Ozero__class_Ozero(_u11930))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11930), c_Groups_Ozero__class_Ozero(_u11930)), _u11933)) )).
% 39.89/40.08 cnf(fact_divide__less__eq-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11930) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11930), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11930), _u11931), _u11932)), _u11933)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11930), _u11931), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11930), _u11933), _u11932))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11930), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11930), _u11933), _u11932)), _u11931)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11930), _u11932), c_Groups_Ozero__class_Ozero(_u11930))) )).
% 39.89/40.08 cnf(fact_divide__less__eq-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11930) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11930), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11930), _u11931), _u11932)), _u11933)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11930), _u11931), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11930), _u11933), _u11932))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11930), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11930), _u11933), _u11932)), _u11931)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11930), c_Groups_Ozero__class_Ozero(_u11930)), _u11933)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_pos__less__divide__eq ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_pos__less__divide__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u11934) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11934), c_Groups_Ozero__class_Ozero(_u11934)), _u11935)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11934), _u11936), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11934), _u11937), _u11935))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11934), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11934), _u11936), _u11935)), _u11937)) )).
% 39.89/40.08 cnf(fact_pos__less__divide__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u11934) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11934), c_Groups_Ozero__class_Ozero(_u11934)), _u11935)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11934), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11934), _u11936), _u11935)), _u11937)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11934), _u11936), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11934), _u11937), _u11935))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_pos__divide__less__eq ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_pos__divide__less__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u11938) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11938), c_Groups_Ozero__class_Ozero(_u11938)), _u11939)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11938), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11938), _u11940), _u11939)), _u11941)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11938), _u11940), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11938), _u11941), _u11939))) )).
% 39.89/40.08 cnf(fact_pos__divide__less__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u11938) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11938), c_Groups_Ozero__class_Ozero(_u11938)), _u11939)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11938), _u11940), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11938), _u11941), _u11939))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11938), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11938), _u11940), _u11939)), _u11941)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_mult__imp__div__pos__less ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_mult__imp__div__pos__less-1, axiom, ( ~class_Fields_Olinordered__field(_u11942) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11942), c_Groups_Ozero__class_Ozero(_u11942)), _u11943)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11942), _u11944), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11942), _u11945), _u11943))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11942), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11942), _u11944), _u11943)), _u11945)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_mult__imp__less__div__pos ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_mult__imp__less__div__pos-1, axiom, ( ~class_Fields_Olinordered__field(_u11946) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11946), c_Groups_Ozero__class_Ozero(_u11946)), _u11947)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11946), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11946), _u11948), _u11947)), _u11949)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11946), _u11948), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11946), _u11949), _u11947))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_neg__less__divide__eq ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_neg__less__divide__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u11950) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11950), _u11951), c_Groups_Ozero__class_Ozero(_u11950))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11950), _u11952), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11950), _u11953), _u11951))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11950), _u11953), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11950), _u11952), _u11951))) )).
% 39.89/40.08 cnf(fact_neg__less__divide__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u11950) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11950), _u11951), c_Groups_Ozero__class_Ozero(_u11950))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11950), _u11953), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11950), _u11952), _u11951))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11950), _u11952), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11950), _u11953), _u11951))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_neg__divide__less__eq ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_neg__divide__less__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u11954) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11954), _u11955), c_Groups_Ozero__class_Ozero(_u11954))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11954), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11954), _u11956), _u11955)), _u11957)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11954), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11954), _u11957), _u11955)), _u11956)) )).
% 39.89/40.08 cnf(fact_neg__divide__less__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u11954) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11954), _u11955), c_Groups_Ozero__class_Ozero(_u11954))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11954), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11954), _u11957), _u11955)), _u11956)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11954), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11954), _u11956), _u11955)), _u11957)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_divide__strict__left__mono ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_divide__strict__left__mono-1, axiom, ( ~class_Fields_Olinordered__field(_u11958) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11958), _u11959), _u11960)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11958), c_Groups_Ozero__class_Ozero(_u11958)), _u11961)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11958), c_Groups_Ozero__class_Ozero(_u11958)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11958), _u11960), _u11959))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11958), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11958), _u11961), _u11960)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11958), _u11961), _u11959))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_divide__strict__left__mono__neg ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_divide__strict__left__mono__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u11962) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11962), _u11963), _u11964)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11962), _u11965), c_Groups_Ozero__class_Ozero(_u11962))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11962), c_Groups_Ozero__class_Ozero(_u11962)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11962), _u11963), _u11964))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11962), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11962), _u11965), _u11963)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11962), _u11965), _u11964))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_add__frac__eq ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_add__frac__eq-1, axiom, ( ~class_Fields_Ofield(_u11966) | ( _u11967 = c_Groups_Ozero__class_Ozero(_u11966)) | ( _u11968 = c_Groups_Ozero__class_Ozero(_u11966)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11966), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11966), _u11969), _u11967)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11966), _u11970), _u11968)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11966), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11966), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11966), _u11969), _u11968)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11966), _u11970), _u11967))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11966), _u11967), _u11968))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_divide__add__eq__iff ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_divide__add__eq__iff-1, axiom, ( ~class_Fields_Ofield(_u11971) | ( _u11972 = c_Groups_Ozero__class_Ozero(_u11971)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11971), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11971), _u11973), _u11972)), _u11974) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11971), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11971), _u11973), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11971), _u11972), _u11974))), _u11972)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_add__frac__num ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_add__frac__num-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u11975) | ( _u11976 = c_Groups_Ozero__class_Ozero(_u11975)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11975), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11975), _u11977), _u11976)), _u11978) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11975), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11975), _u11977), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11975), _u11978), _u11976))), _u11976)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_add__divide__eq__iff ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_add__divide__eq__iff-1, axiom, ( ~class_Fields_Ofield(_u11979) | ( _u11980 = c_Groups_Ozero__class_Ozero(_u11979)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11979), _u11981), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11979), _u11982), _u11980)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11979), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11979), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11979), _u11980), _u11981)), _u11982)), _u11980)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_add__num__frac ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_add__num__frac-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u11983) | ( _u11984 = c_Groups_Ozero__class_Ozero(_u11983)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11983), _u11985), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11983), _u11986), _u11984)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11983), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11983), _u11986), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11983), _u11985), _u11984))), _u11984)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_diff__frac__eq ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_diff__frac__eq-1, axiom, ( ~class_Fields_Ofield(_u11987) | ( _u11988 = c_Groups_Ozero__class_Ozero(_u11987)) | ( _u11989 = c_Groups_Ozero__class_Ozero(_u11987)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11987), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11987), _u11990), _u11988)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11987), _u11991), _u11989)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11987), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11987), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11987), _u11990), _u11989)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11987), _u11991), _u11988))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11987), _u11988), _u11989))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_divide__diff__eq__iff ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_divide__diff__eq__iff-1, axiom, ( ~class_Fields_Ofield(_u11992) | ( _u11993 = c_Groups_Ozero__class_Ozero(_u11992)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11992), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11992), _u11994), _u11993)), _u11995) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11992), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11992), _u11994), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11992), _u11993), _u11995))), _u11993)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_diff__divide__eq__iff ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_diff__divide__eq__iff-1, axiom, ( ~class_Fields_Ofield(_u11996) | ( _u11997 = c_Groups_Ozero__class_Ozero(_u11996)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11996), _u11998), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11996), _u11999), _u11997)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11996), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11996), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11996), _u11997), _u11998)), _u11999)), _u11997)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_gt__half__sum ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_gt__half__sum-1, axiom, ( ~class_Fields_Olinordered__field(_u12000) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12000), _u12001), _u12002)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12000), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12000), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12000), _u12001), _u12002)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12000), c_Groups_Oone__class_Oone(_u12000)), c_Groups_Oone__class_Oone(_u12000)))), _u12002)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_less__half__sum ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_less__half__sum-1, axiom, ( ~class_Fields_Olinordered__field(_u12003) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12003), _u12004), _u12005)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12003), _u12004), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12003), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12003), _u12004), _u12005)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12003), c_Groups_Oone__class_Oone(_u12003)), c_Groups_Oone__class_Oone(_u12003))))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_le__divide__eq ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_le__divide__eq-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u12006) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12006), _u12007), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12006), _u12008), _u12009))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12006), c_Groups_Ozero__class_Ozero(_u12006)), _u12009)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12006), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12006), _u12007), _u12009)), _u12008)) )).
% 39.89/40.08 cnf(fact_le__divide__eq-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u12006) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12006), _u12007), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12006), _u12008), _u12009))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12006), c_Groups_Ozero__class_Ozero(_u12006)), _u12009)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12006), _u12009), c_Groups_Ozero__class_Ozero(_u12006))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12006), _u12008), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12006), _u12007), _u12009))) )).
% 39.89/40.08 cnf(fact_le__divide__eq-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u12006) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12006), _u12007), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12006), _u12008), _u12009))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12006), c_Groups_Ozero__class_Ozero(_u12006)), _u12009)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12006), _u12009), c_Groups_Ozero__class_Ozero(_u12006))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12006), _u12007), c_Groups_Ozero__class_Ozero(_u12006))) )).
% 39.89/40.08 cnf(fact_le__divide__eq-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u12006) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12006), _u12007), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12006), _u12008), _u12009))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12006), c_Groups_Ozero__class_Ozero(_u12006)), _u12009)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12006), _u12009), c_Groups_Ozero__class_Ozero(_u12006))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12006), _u12007), c_Groups_Ozero__class_Ozero(_u12006))) )).
% 39.89/40.08 cnf(fact_le__divide__eq-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u12006) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12006), _u12007), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12006), _u12008), _u12009))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12006), c_Groups_Ozero__class_Ozero(_u12006)), _u12009)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12006), _u12008), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12006), _u12007), _u12009))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12006), _u12009), c_Groups_Ozero__class_Ozero(_u12006))) )).
% 39.89/40.08 cnf(fact_le__divide__eq-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u12006) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12006), _u12007), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12006), _u12008), _u12009))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12006), c_Groups_Ozero__class_Ozero(_u12006)), _u12009)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12006), _u12008), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12006), _u12007), _u12009))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12006), _u12007), c_Groups_Ozero__class_Ozero(_u12006))) )).
% 39.89/40.08 cnf(fact_le__divide__eq-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u12006) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12006), _u12007), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12006), _u12008), _u12009))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12006), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12006), _u12007), _u12009)), _u12008)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12006), c_Groups_Ozero__class_Ozero(_u12006)), _u12009)) )).
% 39.89/40.08 cnf(fact_le__divide__eq-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u12006) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12006), _u12007), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12006), _u12008), _u12009))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12006), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12006), _u12007), _u12009)), _u12008)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12006), _u12009), c_Groups_Ozero__class_Ozero(_u12006))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12006), _u12007), c_Groups_Ozero__class_Ozero(_u12006))) )).
% 39.89/40.08 cnf(fact_le__divide__eq-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u12006) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12006), _u12007), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12006), _u12008), _u12009))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12006), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12006), _u12007), _u12009)), _u12008)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12006), _u12008), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12006), _u12007), _u12009))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12006), _u12009), c_Groups_Ozero__class_Ozero(_u12006))) )).
% 39.89/40.08 cnf(fact_le__divide__eq-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u12006) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12006), _u12007), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12006), _u12008), _u12009))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12006), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12006), _u12007), _u12009)), _u12008)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12006), _u12008), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12006), _u12007), _u12009))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12006), _u12007), c_Groups_Ozero__class_Ozero(_u12006))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_divide__le__eq ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_divide__le__eq-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u12010) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12010), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12010), _u12011), _u12012)), _u12013)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12010), c_Groups_Ozero__class_Ozero(_u12010)), _u12012)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12010), _u12011), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12010), _u12013), _u12012))) )).
% 39.89/40.08 cnf(fact_divide__le__eq-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u12010) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12010), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12010), _u12011), _u12012)), _u12013)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12010), c_Groups_Ozero__class_Ozero(_u12010)), _u12012)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12010), _u12012), c_Groups_Ozero__class_Ozero(_u12010))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12010), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12010), _u12013), _u12012)), _u12011)) )).
% 39.89/40.08 cnf(fact_divide__le__eq-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u12010) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12010), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12010), _u12011), _u12012)), _u12013)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12010), c_Groups_Ozero__class_Ozero(_u12010)), _u12012)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12010), _u12012), c_Groups_Ozero__class_Ozero(_u12010))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12010), c_Groups_Ozero__class_Ozero(_u12010)), _u12013)) )).
% 39.89/40.08 cnf(fact_divide__le__eq-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u12010) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12010), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12010), _u12011), _u12012)), _u12013)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12010), c_Groups_Ozero__class_Ozero(_u12010)), _u12012)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12010), _u12012), c_Groups_Ozero__class_Ozero(_u12010))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12010), c_Groups_Ozero__class_Ozero(_u12010)), _u12013)) )).
% 39.89/40.08 cnf(fact_divide__le__eq-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u12010) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12010), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12010), _u12011), _u12012)), _u12013)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12010), c_Groups_Ozero__class_Ozero(_u12010)), _u12012)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12010), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12010), _u12013), _u12012)), _u12011)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12010), _u12012), c_Groups_Ozero__class_Ozero(_u12010))) )).
% 39.89/40.08 cnf(fact_divide__le__eq-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u12010) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12010), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12010), _u12011), _u12012)), _u12013)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12010), c_Groups_Ozero__class_Ozero(_u12010)), _u12012)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12010), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12010), _u12013), _u12012)), _u12011)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12010), c_Groups_Ozero__class_Ozero(_u12010)), _u12013)) )).
% 39.89/40.08 cnf(fact_divide__le__eq-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u12010) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12010), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12010), _u12011), _u12012)), _u12013)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12010), _u12011), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12010), _u12013), _u12012))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12010), c_Groups_Ozero__class_Ozero(_u12010)), _u12012)) )).
% 39.89/40.08 cnf(fact_divide__le__eq-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u12010) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12010), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12010), _u12011), _u12012)), _u12013)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12010), _u12011), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12010), _u12013), _u12012))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12010), _u12012), c_Groups_Ozero__class_Ozero(_u12010))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12010), c_Groups_Ozero__class_Ozero(_u12010)), _u12013)) )).
% 39.89/40.08 cnf(fact_divide__le__eq-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u12010) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12010), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12010), _u12011), _u12012)), _u12013)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12010), _u12011), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12010), _u12013), _u12012))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12010), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12010), _u12013), _u12012)), _u12011)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12010), _u12012), c_Groups_Ozero__class_Ozero(_u12010))) )).
% 39.89/40.08 cnf(fact_divide__le__eq-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u12010) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12010), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12010), _u12011), _u12012)), _u12013)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12010), _u12011), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12010), _u12013), _u12012))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12010), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12010), _u12013), _u12012)), _u12011)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12010), c_Groups_Ozero__class_Ozero(_u12010)), _u12013)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_pos__le__divide__eq ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_pos__le__divide__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u12014) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12014), c_Groups_Ozero__class_Ozero(_u12014)), _u12015)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12014), _u12016), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12014), _u12017), _u12015))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12014), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12014), _u12016), _u12015)), _u12017)) )).
% 39.89/40.08 cnf(fact_pos__le__divide__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u12014) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12014), c_Groups_Ozero__class_Ozero(_u12014)), _u12015)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12014), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12014), _u12016), _u12015)), _u12017)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12014), _u12016), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12014), _u12017), _u12015))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_pos__divide__le__eq ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_pos__divide__le__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u12018) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12018), c_Groups_Ozero__class_Ozero(_u12018)), _u12019)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12018), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12018), _u12020), _u12019)), _u12021)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12018), _u12020), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12018), _u12021), _u12019))) )).
% 39.89/40.08 cnf(fact_pos__divide__le__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u12018) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12018), c_Groups_Ozero__class_Ozero(_u12018)), _u12019)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12018), _u12020), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12018), _u12021), _u12019))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12018), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12018), _u12020), _u12019)), _u12021)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_mult__imp__div__pos__le ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_mult__imp__div__pos__le-1, axiom, ( ~class_Fields_Olinordered__field(_u12022) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12022), c_Groups_Ozero__class_Ozero(_u12022)), _u12023)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12022), _u12024), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12022), _u12025), _u12023))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12022), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12022), _u12024), _u12023)), _u12025)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_mult__imp__le__div__pos ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_mult__imp__le__div__pos-1, axiom, ( ~class_Fields_Olinordered__field(_u12026) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12026), c_Groups_Ozero__class_Ozero(_u12026)), _u12027)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12026), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12026), _u12028), _u12027)), _u12029)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12026), _u12028), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12026), _u12029), _u12027))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_neg__le__divide__eq ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_neg__le__divide__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u12030) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12030), _u12031), c_Groups_Ozero__class_Ozero(_u12030))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12030), _u12032), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12030), _u12033), _u12031))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12030), _u12033), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12030), _u12032), _u12031))) )).
% 39.89/40.08 cnf(fact_neg__le__divide__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u12030) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12030), _u12031), c_Groups_Ozero__class_Ozero(_u12030))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12030), _u12033), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12030), _u12032), _u12031))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12030), _u12032), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12030), _u12033), _u12031))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_setprod__Un ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_setprod__Un-1, axiom, ( ~class_Fields_Ofield(_u12035) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12036), _u12037)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12036), _u12038)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12036, _u12035), _u12039), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12036, tc_HOL_Obool)), _u12037), _u12038)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12035), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12035), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12036, _u12035), _u12039), _u12037)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12036, _u12035), _u12039), _u12038))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12036, _u12035), _u12039), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12036, tc_HOL_Obool)), _u12037), _u12038)))) | hBOOL(hAPP(hAPP(c_member(_u12036), skolem220(_u12039, _u12038, _u12037, _u12036, _u12035)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12036, tc_HOL_Obool)), _u12037), _u12038))) )).
% 39.89/40.08 cnf(fact_setprod__Un-2, axiom, ( ~class_Fields_Ofield(_u12035) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12036), _u12037)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12036), _u12038)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12036, _u12035), _u12039), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12036, tc_HOL_Obool)), _u12037), _u12038)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12035), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12035), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12036, _u12035), _u12039), _u12037)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12036, _u12035), _u12039), _u12038))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12036, _u12035), _u12039), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12036, tc_HOL_Obool)), _u12037), _u12038)))) | ( hAPP(_u12039, skolem220(_u12039, _u12038, _u12037, _u12036, _u12035)) = c_Groups_Ozero__class_Ozero(_u12035)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_code__numeral_Osize_I2_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_code__numeral_Osize_I2_J-1, axiom, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(c_Code__Numeral_OSuc__code__numeral(_u12040)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(_u12040)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_setsum__nonneg__leq__bound ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_setsum__nonneg__leq__bound-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u12042) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12043), _u12044)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12043, _u12042), _u12045), _u12044) != _u12046) | ~hBOOL(hAPP(hAPP(c_member(_u12043), _u12047), _u12044)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12042), hAPP(_u12045, _u12047)), _u12046)) | hBOOL(hAPP(hAPP(c_member(_u12043), skolem221(_u12047, _u12046, _u12045, _u12044, _u12043, _u12042)), _u12044)) )).
% 39.89/40.08 cnf(fact_setsum__nonneg__leq__bound-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u12042) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12043), _u12044)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12043, _u12042), _u12045), _u12044) != _u12046) | ~hBOOL(hAPP(hAPP(c_member(_u12043), _u12047), _u12044)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12042), hAPP(_u12045, _u12047)), _u12046)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12042), c_Groups_Ozero__class_Ozero(_u12042)), hAPP(_u12045, skolem221(_u12047, _u12046, _u12045, _u12044, _u12043, _u12042)))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_code__numeral_Oinject ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_code__numeral_Oinject-1, axiom, ( ( c_Code__Numeral_OSuc__code__numeral(_u12050) != c_Code__Numeral_OSuc__code__numeral(_u12052)) | ( _u12050 = _u12052) )).
% 39.89/40.08 cnf(fact_code__numeral_Oinject-2, axiom, ( ( _u12051 != _u12053) | ( c_Code__Numeral_OSuc__code__numeral(_u12051) = c_Code__Numeral_OSuc__code__numeral(_u12053)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_code__numeral_Osimps_I3_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_code__numeral_Osimps_I3_J-1, axiom, ( ( c_Code__Numeral_OSuc__code__numeral(_u12054) != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_code__numeral_Osimps_I2_J ( axiom ) converted to clauses:
% 39.89/40.08 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(_u12055)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_Suc__code__numeral__minus__one ( axiom ) converted to clauses:
% 39.89/40.08 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(_u12056)), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) = _u12056) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_code__numeral_Osize_I4_J ( axiom ) converted to clauses:
% 39.89/40.08 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(_u12057)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Code__Numeral_Ocode__numeral), _u12057)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_setsum__nonneg__0 ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_setsum__nonneg__0-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u12059) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12060), _u12061)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12060, _u12059), _u12062), _u12061) != c_Groups_Ozero__class_Ozero(_u12059)) | ~hBOOL(hAPP(hAPP(c_member(_u12060), _u12063), _u12061)) | ( hAPP(_u12062, _u12063) = c_Groups_Ozero__class_Ozero(_u12059)) | hBOOL(hAPP(hAPP(c_member(_u12060), skolem222(_u12063, _u12062, _u12061, _u12060, _u12059)), _u12061)) )).
% 39.89/40.08 cnf(fact_setsum__nonneg__0-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u12059) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12060), _u12061)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12060, _u12059), _u12062), _u12061) != c_Groups_Ozero__class_Ozero(_u12059)) | ~hBOOL(hAPP(hAPP(c_member(_u12060), _u12063), _u12061)) | ( hAPP(_u12062, _u12063) = c_Groups_Ozero__class_Ozero(_u12059)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12059), c_Groups_Ozero__class_Ozero(_u12059)), hAPP(_u12062, skolem222(_u12063, _u12062, _u12061, _u12060, _u12059)))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_greaterThan__0 ( axiom ) converted to clauses:
% 39.89/40.08 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)))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_greaterThan__eq__iff ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_greaterThan__eq__iff-1, axiom, ( ~class_Orderings_Olinorder(_u12064) | ( hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12064), _u12065) != hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12064), _u12066)) | ( _u12065 = _u12066) )).
% 39.89/40.08 cnf(fact_greaterThan__eq__iff-2, axiom, ( ~class_Orderings_Olinorder(_u12064) | ( _u12065 != _u12066) | ( hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12064), _u12065) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12064), _u12066)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_greaterThan__iff ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_greaterThan__iff-1, axiom, ( ~class_Orderings_Oord(_u12067) | ~hBOOL(hAPP(hAPP(c_member(_u12067), _u12068), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12067), _u12069))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12067), _u12069), _u12068)) )).
% 39.89/40.08 cnf(fact_greaterThan__iff-2, axiom, ( ~class_Orderings_Oord(_u12067) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12067), _u12069), _u12068)) | hBOOL(hAPP(hAPP(c_member(_u12067), _u12068), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12067), _u12069))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_greaterThan__subset__iff ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_greaterThan__subset__iff-1, axiom, ( ~class_Orderings_Olinorder(_u12070) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12070, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12070), _u12071)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12070), _u12072))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12070), _u12072), _u12071)) )).
% 39.89/40.08 cnf(fact_greaterThan__subset__iff-2, axiom, ( ~class_Orderings_Olinorder(_u12070) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12070), _u12072), _u12071)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12070, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12070), _u12071)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12070), _u12072))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_ivl__disj__un_I11_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_ivl__disj__un_I11_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_OgreaterThanAtMost(_u12073, _u12074, _u12075)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12073), _u12075)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12073), _u12074)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_image__uminus__greaterThan ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_image__uminus__greaterThan-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u12076) | ( hAPP(c_Set_Oimage(_u12076, _u12076, c_Groups_Ouminus__class_Ouminus(_u12076)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12076), _u12077)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u12076), hAPP(c_Groups_Ouminus__class_Ouminus(_u12076), _u12077))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_image__uminus__lessThan ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_image__uminus__lessThan-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u12078) | ( hAPP(c_Set_Oimage(_u12078, _u12078, c_Groups_Ouminus__class_Ouminus(_u12078)), hAPP(c_SetInterval_Oord__class_OlessThan(_u12078), _u12079)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12078), hAPP(c_Groups_Ouminus__class_Ouminus(_u12078), _u12079))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_ivl__disj__int_I5_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_ivl__disj__int_I5_J-1, axiom, ( ~class_Orderings_Oorder(_u12080) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12080, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u12080, _u12081, _u12082)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12080), _u12082)) = c_Orderings_Obot__class_Obot(tc_fun(_u12080, tc_HOL_Obool))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_greaterThan__Suc ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_greaterThan__Suc-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u12083)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat), _u12083)), hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u12083)), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_code__numeral_Osize_I3_J ( axiom ) converted to clauses:
% 39.89/40.08 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)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_sum__diff__distrib ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_sum__diff__distrib-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(_u12085, skolem223(_u12087, _u12086, _u12085))), hAPP(_u12086, skolem223(_u12087, _u12086, _u12085)))) | ( 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), _u12086), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u12087))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, tc_Nat_Onat), _u12085), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u12087))) = 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)), _u12086)), _u12085)), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u12087))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_pair__lessI2 ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_pair__lessI2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u12088), _u12089)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u12090), _u12091)) | 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), _u12088), _u12090)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u12089), _u12091))), c_FunDef_Opair__less)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_min__max_OSup__fin_Ohom__commute ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_min__max_OSup__fin_Ohom__commute-1, axiom, ( ~class_Orderings_Olinorder(_u12094) | ( hAPP(_u12095, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u12094), skolem224(_u12096, _u12095, _u12094)), skolem225(_u12096, _u12095, _u12094))) != hAPP(hAPP(c_Orderings_Oord__class_Omax(_u12094), hAPP(_u12095, skolem224(_u12096, _u12095, _u12094))), hAPP(_u12095, skolem225(_u12096, _u12095, _u12094)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12094), _u12096)) | ( _u12096 = c_Orderings_Obot__class_Obot(tc_fun(_u12094, tc_HOL_Obool))) | ( hAPP(_u12095, c_Big__Operators_Olattice_OSup__fin(_u12094, c_Orderings_Oord__class_Omax(_u12094), _u12096)) = c_Big__Operators_Olattice_OSup__fin(_u12094, c_Orderings_Oord__class_Omax(_u12094), hAPP(c_Set_Oimage(_u12094, _u12094, _u12095), _u12096))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_pair__lessI1 ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_pair__lessI1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u12097), _u12098)) | 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), _u12097), _u12099)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u12098), _u12100))), c_FunDef_Opair__less)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_pair__leqI2 ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_pair__leqI2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u12101), _u12102)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u12103), _u12104)) | 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), _u12101), _u12103)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u12102), _u12104))), c_FunDef_Opair__leq)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_smin__insertI ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_smin__insertI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u12105), _u12106)) | ~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)), _u12105), _u12107)), 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)), _u12106), _u12108)), 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)), _u12106), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u12107), _u12108))), c_FunDef_Omin__strict)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_smax__insertI ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_smax__insertI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u12109), _u12110)) | ~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)), _u12111), _u12109)), 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)), _u12112), _u12110)), 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)), _u12111), _u12112)), _u12110)), c_FunDef_Omax__strict)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_smax__emptyI ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_smax__emptyI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u12113)) | ( _u12113 = 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))), _u12113)), c_FunDef_Omax__strict)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_smin__emptyI ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_smin__emptyI-1, axiom, ( ( _u12114 = 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)), _u12114), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))), c_FunDef_Omin__strict)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_pair__leqI1 ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_pair__leqI1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u12115), _u12116)) | 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), _u12115), _u12117)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u12116), _u12118))), c_FunDef_Opair__leq)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_wmax__insertI ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_wmax__insertI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u12119), _u12120)) | ~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)), _u12121), _u12119)), 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)), _u12122), _u12120)), 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)), _u12121), _u12122)), _u12120)), c_FunDef_Omax__weak)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_wmin__insertI ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_wmin__insertI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u12123), _u12124)) | ~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)), _u12123), _u12125)), 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)), _u12124), _u12126)), 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)), _u12124), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u12125), _u12126))), c_FunDef_Omin__weak)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_atLeast__Suc ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_atLeast__Suc-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u12127)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat), _u12127)), hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u12127), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_atLeast__eq__iff ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_atLeast__eq__iff-1, axiom, ( ~class_Orderings_Olinorder(_u12128) | ( hAPP(c_SetInterval_Oord__class_OatLeast(_u12128), _u12129) != hAPP(c_SetInterval_Oord__class_OatLeast(_u12128), _u12130)) | ( _u12129 = _u12130) )).
% 39.89/40.08 cnf(fact_atLeast__eq__iff-2, axiom, ( ~class_Orderings_Olinorder(_u12128) | ( _u12129 != _u12130) | ( hAPP(c_SetInterval_Oord__class_OatLeast(_u12128), _u12129) = hAPP(c_SetInterval_Oord__class_OatLeast(_u12128), _u12130)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_atLeast__iff ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_atLeast__iff-1, axiom, ( ~class_Orderings_Oord(_u12131) | ~hBOOL(hAPP(hAPP(c_member(_u12131), _u12132), hAPP(c_SetInterval_Oord__class_OatLeast(_u12131), _u12133))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12131), _u12133), _u12132)) )).
% 39.89/40.08 cnf(fact_atLeast__iff-2, axiom, ( ~class_Orderings_Oord(_u12131) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12131), _u12133), _u12132)) | hBOOL(hAPP(hAPP(c_member(_u12131), _u12132), hAPP(c_SetInterval_Oord__class_OatLeast(_u12131), _u12133))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_atLeast__subset__iff ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_atLeast__subset__iff-1, axiom, ( ~class_Orderings_Oorder(_u12134) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12134, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u12134), _u12135)), hAPP(c_SetInterval_Oord__class_OatLeast(_u12134), _u12136))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12134), _u12136), _u12135)) )).
% 39.89/40.08 cnf(fact_atLeast__subset__iff-2, axiom, ( ~class_Orderings_Oorder(_u12134) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12134), _u12136), _u12135)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12134, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u12134), _u12135)), hAPP(c_SetInterval_Oord__class_OatLeast(_u12134), _u12136))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_atLeast__0 ( axiom ) converted to clauses:
% 39.89/40.08 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))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_Compl__atLeast ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_Compl__atLeast-1, axiom, ( ~class_Orderings_Olinorder(_u12137) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12137, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u12137), _u12138)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u12137), _u12138)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_Compl__lessThan ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_Compl__lessThan-1, axiom, ( ~class_Orderings_Olinorder(_u12139) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12139, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u12139), _u12140)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u12139), _u12140)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_atLeast__Suc__greaterThan ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_atLeast__Suc__greaterThan-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u12141)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat), _u12141)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_ivl__disj__un_I14_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_ivl__disj__un_I14_J-1, axiom, ( ~class_Orderings_Olinorder(_u12142) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12142), _u12143), _u12144)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12142, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u12142, _u12143), _u12144)), hAPP(c_SetInterval_Oord__class_OatLeast(_u12142), _u12144)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u12142), _u12143)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_ivl__disj__int_I8_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_ivl__disj__int_I8_J-1, axiom, ( ~class_Orderings_Oorder(_u12145) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12145, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u12145, _u12146), _u12147)), hAPP(c_SetInterval_Oord__class_OatLeast(_u12145), _u12147)) = c_Orderings_Obot__class_Obot(tc_fun(_u12145, tc_HOL_Obool))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_UN__atLeast__UNIV ( axiom ) converted to clauses:
% 39.89/40.08 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))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_ivl__disj__int_I6_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_ivl__disj__int_I6_J-1, axiom, ( ~class_Orderings_Oorder(_u12148) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12148, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u12148, _u12149, _u12150)), hAPP(c_SetInterval_Oord__class_OatLeast(_u12148), _u12150)) = c_Orderings_Obot__class_Obot(tc_fun(_u12148, tc_HOL_Obool))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_ivl__disj__un_I1_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_ivl__disj__un_I1_J-1, axiom, ( ~class_Orderings_Olinorder(_u12151) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12151, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u12151), _u12152), c_Orderings_Obot__class_Obot(tc_fun(_u12151, tc_HOL_Obool)))), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12151), _u12152)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u12151), _u12152)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_ivl__disj__un_I12_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_ivl__disj__un_I12_J-1, axiom, ( ~class_Orderings_Olinorder(_u12153) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12153), _u12154), _u12155)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12153, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u12153, _u12154, _u12155)), hAPP(c_SetInterval_Oord__class_OatLeast(_u12153), _u12155)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12153), _u12154)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_wmin__emptyI ( axiom ) converted to clauses:
% 39.89/40.08 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)), _u12156), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))), c_FunDef_Omin__weak)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_wmax__emptyI ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_wmax__emptyI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u12157)) | 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))), _u12157)), c_FunDef_Omax__weak)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_min__weak__def ( axiom ) converted to clauses:
% 39.89/40.08 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))))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_max__weak__def ( axiom ) converted to clauses:
% 39.89/40.08 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))))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_max__rpair__set ( axiom ) converted to clauses:
% 39.89/40.08 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)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_max__strict__def ( axiom ) converted to clauses:
% 39.89/40.08 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)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_rp__inv__image__rp ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_rp__inv__image__rp-1, axiom, ( ~c_FunDef_Oreduction__pair(_u12158, _u12159) | c_FunDef_Oreduction__pair(_u12160, hAPP(hAPP(c_FunDef_Orp__inv__image(_u12158, _u12160), _u12159), _u12161)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_max__ext__additive ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_max__ext__additive-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u12162, tc_HOL_Obool), tc_fun(_u12162, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u12162, tc_HOL_Obool), tc_fun(_u12162, tc_HOL_Obool)), _u12163), _u12164)), c_Wellfounded_Omax__ext(_u12162, _u12165))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u12162, tc_HOL_Obool), tc_fun(_u12162, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u12162, tc_HOL_Obool), tc_fun(_u12162, tc_HOL_Obool)), _u12166), _u12167)), c_Wellfounded_Omax__ext(_u12162, _u12165))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u12162, tc_HOL_Obool), tc_fun(_u12162, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u12162, tc_HOL_Obool), tc_fun(_u12162, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12162, tc_HOL_Obool)), _u12163), _u12166)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12162, tc_HOL_Obool)), _u12164), _u12167))), c_Wellfounded_Omax__ext(_u12162, _u12165))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_min__strict__def ( axiom ) converted to clauses:
% 39.89/40.08 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)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_min__rpair__set ( axiom ) converted to clauses:
% 39.89/40.08 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)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_max__extp__max__ext__eq ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_max__extp__max__ext__eq-1, axiom, ( ~c_Wellfounded_Omax__extp(_u12172, hAPP(hAPP(c_COMBC(_u12172, tc_fun(tc_prod(_u12172, _u12172), tc_HOL_Obool), tc_fun(_u12172, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12172, tc_fun(tc_fun(tc_prod(_u12172, _u12172), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12172, _u12172), tc_HOL_Obool), tc_fun(_u12172, tc_HOL_Obool)), _u12172), c_COMBC(_u12172, tc_fun(tc_prod(_u12172, _u12172), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12172, tc_prod(_u12172, _u12172)), tc_fun(_u12172, tc_fun(tc_fun(tc_prod(_u12172, _u12172), tc_HOL_Obool), tc_HOL_Obool)), _u12172), hAPP(c_COMBB(tc_prod(_u12172, _u12172), tc_fun(tc_fun(tc_prod(_u12172, _u12172), tc_HOL_Obool), tc_HOL_Obool), _u12172), c_member(tc_prod(_u12172, _u12172)))), c_Product__Type_OPair(_u12172, _u12172)))), _u12174), _u12176, _u12178) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u12172, tc_HOL_Obool), tc_fun(_u12172, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u12172, tc_HOL_Obool), tc_fun(_u12172, tc_HOL_Obool)), _u12176), _u12178)), c_Wellfounded_Omax__ext(_u12172, _u12174))) )).
% 39.89/40.08 cnf(fact_max__extp__max__ext__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u12173, tc_HOL_Obool), tc_fun(_u12173, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u12173, tc_HOL_Obool), tc_fun(_u12173, tc_HOL_Obool)), _u12177), _u12179)), c_Wellfounded_Omax__ext(_u12173, _u12175))) | c_Wellfounded_Omax__extp(_u12173, hAPP(hAPP(c_COMBC(_u12173, tc_fun(tc_prod(_u12173, _u12173), tc_HOL_Obool), tc_fun(_u12173, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12173, tc_fun(tc_fun(tc_prod(_u12173, _u12173), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12173, _u12173), tc_HOL_Obool), tc_fun(_u12173, tc_HOL_Obool)), _u12173), c_COMBC(_u12173, tc_fun(tc_prod(_u12173, _u12173), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12173, tc_prod(_u12173, _u12173)), tc_fun(_u12173, tc_fun(tc_fun(tc_prod(_u12173, _u12173), tc_HOL_Obool), tc_HOL_Obool)), _u12173), hAPP(c_COMBB(tc_prod(_u12173, _u12173), tc_fun(tc_fun(tc_prod(_u12173, _u12173), tc_HOL_Obool), tc_HOL_Obool), _u12173), c_member(tc_prod(_u12173, _u12173)))), c_Product__Type_OPair(_u12173, _u12173)))), _u12175), _u12177, _u12179) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_equiv__intrel__iff ( axiom ) converted to clauses:
% 39.89/40.08 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)), _u12182), 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)), _u12184), 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)), _u12182), _u12184)), c_Int_Ointrel)) )).
% 39.89/40.08 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)), _u12183), _u12185)), 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)), _u12183), 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)), _u12185), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_less__than__iff ( axiom ) converted to clauses:
% 39.89/40.08 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), _u12188), _u12190)), c_Wellfounded_Oless__than)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u12188), _u12190)) )).
% 39.89/40.08 cnf(fact_less__than__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u12189), _u12191)) | 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), _u12189), _u12191)), c_Wellfounded_Oless__than)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_equiv__intrel ( axiom ) converted to clauses:
% 39.89/40.08 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) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_pair__less__def ( axiom ) converted to clauses:
% 39.89/40.08 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)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_measure__def ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_measure__def-1, axiom, ( ( c_Wellfounded_Omeasure(_u12192) = hAPP(c_Relation_Oinv__image(tc_Nat_Onat, _u12192), c_Wellfounded_Oless__than)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_mlex__prod__def ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_mlex__prod__def-1, axiom, ( ( c_Wellfounded_Omlex__prod(_u12193, _u12194, _u12195) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat, _u12193), _u12193), c_Wellfounded_Olex__prod(tc_Nat_Onat, _u12193, c_Wellfounded_Oless__than, _u12195)), hAPP(hAPP(c_COMBS(_u12193, _u12193, tc_prod(tc_Nat_Onat, _u12193)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u12193, tc_prod(tc_Nat_Onat, _u12193)), _u12193), c_Product__Type_OPair(tc_Nat_Onat, _u12193)), _u12194)), c_COMBI(_u12193)))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_intrel__iff ( axiom ) converted to clauses:
% 39.89/40.08 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), _u12200), _u12202)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u12204), _u12206))), c_Int_Ointrel)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12200), _u12206) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12204), _u12202)) )).
% 39.89/40.08 cnf(fact_intrel__iff-2, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12201), _u12207) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12205), _u12203)) | 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), _u12201), _u12203)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u12205), _u12207))), c_Int_Ointrel)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_of__int ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_of__int-1, axiom, ( ~class_Rings_Oring__1(_u12208) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u12208), 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), _u12209), _u12210)), 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(_u12208), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u12208), _u12209)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u12208), _u12210))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_One__int__def ( axiom ) converted to clauses:
% 39.89/40.08 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)))))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_mult ( axiom ) converted to clauses:
% 39.89/40.08 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), _u12211), _u12212)), 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), _u12213), _u12214)), 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), _u12211), _u12213)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u12212), _u12214))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u12211), _u12214)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u12212), _u12213)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_Rep__Integ__inverse ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_Rep__Integ__inverse-1, axiom, ( ( hAPP(c_Int_OAbs__Integ, hAPP(c_Int_ORep__Integ, _u12215)) = _u12215) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_minus ( axiom ) converted to clauses:
% 39.89/40.08 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), _u12216), _u12217)), 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), _u12217), _u12216)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_Zero__int__def ( axiom ) converted to clauses:
% 39.89/40.08 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)))))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_int__def ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_int__def-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u12218) = 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), _u12218), 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)))))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_add ( axiom ) converted to clauses:
% 39.89/40.08 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), _u12219), _u12220)), 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), _u12221), _u12222)), 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), _u12219), _u12221)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12220), _u12222))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_nat ( axiom ) converted to clauses:
% 39.89/40.08 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), _u12223), _u12224)), 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), _u12223), _u12224)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_minus__int__def ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_minus__int__def-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u12225) = 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, _u12225)), 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)))))))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_less ( axiom ) converted to clauses:
% 39.89/40.08 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), _u12230), _u12232)), 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), _u12234), _u12236)), 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), _u12230), _u12236)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12234), _u12232))) )).
% 39.89/40.08 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), _u12231), _u12237)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12235), _u12233))) | 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), _u12231), _u12233)), 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), _u12235), _u12237)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))))))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_le ( axiom ) converted to clauses:
% 39.89/40.08 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), _u12242), _u12244)), 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), _u12246), _u12248)), 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), _u12242), _u12248)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12246), _u12244))) )).
% 39.89/40.08 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), _u12243), _u12249)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12247), _u12245))) | 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), _u12243), _u12245)), 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), _u12247), _u12249)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))))))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_eq__Abs__Integ ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_eq__Abs__Integ-1, axiom, ( ( _u12252 = 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), skolem226(_u12252)), skolem227(_u12252))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_Integ__def ( axiom ) converted to clauses:
% 39.89/40.08 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)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_min__max_OInf__fin_Ohom__commute ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_min__max_OInf__fin_Ohom__commute-1, axiom, ( ~class_Orderings_Olinorder(_u12255) | ( hAPP(_u12256, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u12255), skolem228(_u12257, _u12256, _u12255)), skolem229(_u12257, _u12256, _u12255))) != hAPP(hAPP(c_Orderings_Oord__class_Omin(_u12255), hAPP(_u12256, skolem228(_u12257, _u12256, _u12255))), hAPP(_u12256, skolem229(_u12257, _u12256, _u12255)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12255), _u12257)) | ( _u12257 = c_Orderings_Obot__class_Obot(tc_fun(_u12255, tc_HOL_Obool))) | ( hAPP(_u12256, c_Big__Operators_Olattice_OInf__fin(_u12255, c_Orderings_Oord__class_Omin(_u12255), _u12257)) = c_Big__Operators_Olattice_OInf__fin(_u12255, c_Orderings_Oord__class_Omin(_u12255), hAPP(c_Set_Oimage(_u12255, _u12255, _u12256), _u12257))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_Rep__Integ ( axiom ) converted to clauses:
% 39.89/40.08 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, _u12258)), c_Int_OInteg)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_type__definition__Integ ( axiom ) converted to clauses:
% 39.89/40.08 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) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_setsum__natinterval__difff ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_setsum__natinterval__difff-1, axiom, ( ~class_Groups_Oab__group__add(_u12259) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u12260), _u12261)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12259), hAPP(hAPP(c_COMBS(tc_Nat_Onat, _u12259, _u12259), hAPP(hAPP(c_COMBB(_u12259, tc_fun(_u12259, _u12259), tc_Nat_Onat), c_Groups_Ominus__class_Ominus(_u12259)), _u12262)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u12259, tc_Nat_Onat), _u12262), 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, _u12260, _u12261)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u12259), hAPP(_u12262, _u12260)), hAPP(_u12262, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12261), c_Groups_Oone__class_Oone(tc_Nat_Onat))))) )).
% 39.89/40.08 cnf(fact_setsum__natinterval__difff-2, axiom, ( ~class_Groups_Oab__group__add(_u12259) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u12260), _u12261)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12259), hAPP(hAPP(c_COMBS(tc_Nat_Onat, _u12259, _u12259), hAPP(hAPP(c_COMBB(_u12259, tc_fun(_u12259, _u12259), tc_Nat_Onat), c_Groups_Ominus__class_Ominus(_u12259)), _u12262)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u12259, tc_Nat_Onat), _u12262), 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, _u12260, _u12261)) = c_Groups_Ozero__class_Ozero(_u12259)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_gauss__sum ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_gauss__sum-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u12263) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12263), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12263), c_Groups_Oone__class_Oone(_u12263)), c_Groups_Oone__class_Oone(_u12263))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12263), c_Nat_Osemiring__1__class_Oof__nat(_u12263)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), _u12264))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12263), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u12263), _u12264)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12263), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u12263), _u12264)), c_Groups_Oone__class_Oone(_u12263)))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_finite__atLeastAtMost ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_finite__atLeastAtMost-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u12265, _u12266))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_all__nat__less ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_all__nat__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u12268), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u12273))) | hBOOL(hAPP(_u12275, _u12268)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem230(_u12275, _u12273)), _u12273)) )).
% 39.89/40.08 cnf(fact_all__nat__less-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u12268), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u12273))) | hBOOL(hAPP(_u12275, _u12268)) | ~hBOOL(hAPP(_u12275, skolem230(_u12275, _u12273))) )).
% 39.89/40.08 cnf(fact_all__nat__less-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u12270), _u12274)) | hBOOL(hAPP(_u12276, _u12270)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem231(_u12276, _u12274)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u12274))) )).
% 39.89/40.08 cnf(fact_all__nat__less-4, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u12270), _u12274)) | hBOOL(hAPP(_u12276, _u12270)) | ~hBOOL(hAPP(_u12276, skolem231(_u12276, _u12274))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_ex__nat__less ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_ex__nat__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u12277), _u12283)) | ~hBOOL(hAPP(_u12285, _u12277)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem232(_u12285, _u12283)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u12283))) )).
% 39.89/40.08 cnf(fact_ex__nat__less-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u12277), _u12283)) | ~hBOOL(hAPP(_u12285, _u12277)) | hBOOL(hAPP(_u12285, skolem232(_u12285, _u12283))) )).
% 39.89/40.08 cnf(fact_ex__nat__less-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u12279), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u12284))) | ~hBOOL(hAPP(_u12286, _u12279)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem233(_u12286, _u12284)), _u12284)) )).
% 39.89/40.08 cnf(fact_ex__nat__less-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u12279), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u12284))) | ~hBOOL(hAPP(_u12286, _u12279)) | hBOOL(hAPP(_u12286, skolem233(_u12286, _u12284))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_atLeastLessThanSuc__atLeastAtMost ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_atLeastLessThanSuc__atLeastAtMost-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u12287), hAPP(c_Nat_OSuc, _u12288)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u12287, _u12288)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_atLeastatMost__empty__iff2 ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_atLeastatMost__empty__iff2-1, axiom, ( ~class_Orderings_Oorder(_u12289) | ( c_Orderings_Obot__class_Obot(tc_fun(_u12289, tc_HOL_Obool)) != c_SetInterval_Oord__class_OatLeastAtMost(_u12289, _u12290, _u12291)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12289), _u12290), _u12291)) )).
% 39.89/40.08 cnf(fact_atLeastatMost__empty__iff2-2, axiom, ( ~class_Orderings_Oorder(_u12289) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12289), _u12290), _u12291)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u12289, tc_HOL_Obool)) = c_SetInterval_Oord__class_OatLeastAtMost(_u12289, _u12290, _u12291)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_atLeastatMost__empty__iff ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_atLeastatMost__empty__iff-1, axiom, ( ~class_Orderings_Oorder(_u12292) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u12292, _u12293, _u12294) != c_Orderings_Obot__class_Obot(tc_fun(_u12292, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12292), _u12293), _u12294)) )).
% 39.89/40.08 cnf(fact_atLeastatMost__empty__iff-2, axiom, ( ~class_Orderings_Oorder(_u12292) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12292), _u12293), _u12294)) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u12292, _u12293, _u12294) = c_Orderings_Obot__class_Obot(tc_fun(_u12292, tc_HOL_Obool))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_atLeastatMost__empty ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_atLeastatMost__empty-1, axiom, ( ~class_Orderings_Oorder(_u12295) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12295), _u12296), _u12297)) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u12295, _u12297, _u12296) = c_Orderings_Obot__class_Obot(tc_fun(_u12295, tc_HOL_Obool))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_atLeastatMost__subset__iff ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_atLeastatMost__subset__iff-1, axiom, ( ~class_Orderings_Oorder(_u12298) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12298, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u12298, _u12299, _u12300)), c_SetInterval_Oord__class_OatLeastAtMost(_u12298, _u12301, _u12302))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12298), _u12299), _u12300)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12298), _u12301), _u12299)) )).
% 39.89/40.08 cnf(fact_atLeastatMost__subset__iff-2, axiom, ( ~class_Orderings_Oorder(_u12298) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12298, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u12298, _u12299, _u12300)), c_SetInterval_Oord__class_OatLeastAtMost(_u12298, _u12301, _u12302))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12298), _u12299), _u12300)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12298), _u12300), _u12302)) )).
% 39.89/40.08 cnf(fact_atLeastatMost__subset__iff-3, axiom, ( ~class_Orderings_Oorder(_u12298) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12298, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u12298, _u12299, _u12300)), c_SetInterval_Oord__class_OatLeastAtMost(_u12298, _u12301, _u12302))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12298), _u12299), _u12300)) )).
% 39.89/40.08 cnf(fact_atLeastatMost__subset__iff-4, axiom, ( ~class_Orderings_Oorder(_u12298) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12298, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u12298, _u12299, _u12300)), c_SetInterval_Oord__class_OatLeastAtMost(_u12298, _u12301, _u12302))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12298), _u12301), _u12299)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12298), _u12300), _u12302)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_atLeastAtMost__singleton ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_atLeastAtMost__singleton-1, axiom, ( ~class_Orderings_Oorder(_u12303) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u12303, _u12304, _u12304) = hAPP(hAPP(c_Set_Oinsert(_u12303), _u12304), c_Orderings_Obot__class_Obot(tc_fun(_u12303, tc_HOL_Obool)))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_atLeastAtMost__singleton__iff ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_atLeastAtMost__singleton__iff-1, axiom, ( ~class_Orderings_Oorder(_u12305) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u12305, _u12306, _u12307) != hAPP(hAPP(c_Set_Oinsert(_u12305), _u12308), c_Orderings_Obot__class_Obot(tc_fun(_u12305, tc_HOL_Obool)))) | ( _u12306 = _u12307) )).
% 39.89/40.08 cnf(fact_atLeastAtMost__singleton__iff-2, axiom, ( ~class_Orderings_Oorder(_u12305) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u12305, _u12306, _u12307) != hAPP(hAPP(c_Set_Oinsert(_u12305), _u12308), c_Orderings_Obot__class_Obot(tc_fun(_u12305, tc_HOL_Obool)))) | ( _u12307 = _u12308) )).
% 39.89/40.08 cnf(fact_atLeastAtMost__singleton__iff-3, axiom, ( ~class_Orderings_Oorder(_u12305) | ( _u12306 != _u12307) | ( _u12307 != _u12308) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u12305, _u12306, _u12307) = hAPP(hAPP(c_Set_Oinsert(_u12305), _u12308), c_Orderings_Obot__class_Obot(tc_fun(_u12305, tc_HOL_Obool)))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_atLeastAtMost__singleton_H ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_atLeastAtMost__singleton_H-1, axiom, ( ~class_Orderings_Oorder(_u12309) | ( _u12310 != _u12311) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u12309, _u12310, _u12311) = hAPP(hAPP(c_Set_Oinsert(_u12309), _u12310), c_Orderings_Obot__class_Obot(tc_fun(_u12309, tc_HOL_Obool)))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_image__uminus__atLeastAtMost ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_image__uminus__atLeastAtMost-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u12312) | ( hAPP(c_Set_Oimage(_u12312, _u12312, c_Groups_Ouminus__class_Ouminus(_u12312)), c_SetInterval_Oord__class_OatLeastAtMost(_u12312, _u12313, _u12314)) = c_SetInterval_Oord__class_OatLeastAtMost(_u12312, hAPP(c_Groups_Ouminus__class_Ouminus(_u12312), _u12314), hAPP(c_Groups_Ouminus__class_Ouminus(_u12312), _u12313))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_image__Suc__atLeastAtMost ( axiom ) converted to clauses:
% 39.89/40.08 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, _u12315, _u12316)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u12315), hAPP(c_Nat_OSuc, _u12316))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_setsum__shift__bounds__cl__Suc__ivl ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_setsum__shift__bounds__cl__Suc__ivl-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12317) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12317), _u12318), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u12319), hAPP(c_Nat_OSuc, _u12320))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12317), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u12317, tc_Nat_Onat), _u12318), c_Nat_OSuc)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u12319, _u12320))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_setsum__shift__bounds__cl__nat__ivl ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_setsum__shift__bounds__cl__nat__ivl-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12321) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12321), _u12322), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12323), _u12324), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12325), _u12324))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12321), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u12321, tc_Nat_Onat), _u12322), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u12324))), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u12323, _u12325))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_atLeastSucAtMost__greaterThanAtMost ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_atLeastSucAtMost__greaterThanAtMost-1, axiom, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u12326), _u12327) = c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u12326, _u12327)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_image__add__atLeastAtMost ( axiom ) converted to clauses:
% 39.89/40.08 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)), _u12328)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u12329, _u12330)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12329), _u12328), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12330), _u12328))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_card__atLeastAtMost ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_card__atLeastAtMost-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u12331, _u12332)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u12332)), _u12331)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_atLeastAtMostSuc__conv ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_atLeastAtMostSuc__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u12333), hAPP(c_Nat_OSuc, _u12334))) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u12333, hAPP(c_Nat_OSuc, _u12334)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u12334)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u12333, _u12334))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_setsum__shift__lb__Suc0__0 ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_setsum__shift__lb__Suc0__0-1, axiom, ( ( hAPP(_u12335, 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), _u12335), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u12336)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, tc_Nat_Onat), _u12335), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u12336))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_ivl__disj__un_I21_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_ivl__disj__un_I21_J-1, axiom, ( ~class_Orderings_Olinorder(_u12337) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12337), _u12338), _u12339)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12337), _u12339), _u12340)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12337, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u12337, _u12338), _u12339)), c_SetInterval_Oord__class_OatLeastAtMost(_u12337, _u12339, _u12340)) = c_SetInterval_Oord__class_OatLeastAtMost(_u12337, _u12338, _u12340)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_ivl__disj__int_I15_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_ivl__disj__int_I15_J-1, axiom, ( ~class_Orderings_Oorder(_u12341) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12341, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u12341, _u12342), _u12343)), c_SetInterval_Oord__class_OatLeastAtMost(_u12341, _u12343, _u12344)) = c_Orderings_Obot__class_Obot(tc_fun(_u12341, tc_HOL_Obool))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_Int__atLeastAtMost ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_Int__atLeastAtMost-1, axiom, ( ~class_Orderings_Olinorder(_u12345) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12345, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u12345, _u12346, _u12347)), c_SetInterval_Oord__class_OatLeastAtMost(_u12345, _u12348, _u12349)) = c_SetInterval_Oord__class_OatLeastAtMost(_u12345, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u12345), _u12346), _u12348), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u12345), _u12347), _u12349))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_atLeastatMost__psubset__iff ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_atLeastatMost__psubset__iff-1, axiom, ( ~class_Orderings_Oorder(_u12350) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u12350, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u12350, _u12351, _u12352)), c_SetInterval_Oord__class_OatLeastAtMost(_u12350, _u12353, _u12354))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12350), _u12351), _u12352)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12350), _u12353), _u12351)) )).
% 39.89/40.08 cnf(fact_atLeastatMost__psubset__iff-2, axiom, ( ~class_Orderings_Oorder(_u12350) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u12350, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u12350, _u12351, _u12352)), c_SetInterval_Oord__class_OatLeastAtMost(_u12350, _u12353, _u12354))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12350), _u12351), _u12352)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12350), _u12352), _u12354)) )).
% 39.89/40.08 cnf(fact_atLeastatMost__psubset__iff-3, axiom, ( ~class_Orderings_Oorder(_u12350) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u12350, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u12350, _u12351, _u12352)), c_SetInterval_Oord__class_OatLeastAtMost(_u12350, _u12353, _u12354))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12350), _u12351), _u12352)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12350), _u12353), _u12351)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12350), _u12352), _u12354)) )).
% 39.89/40.08 cnf(fact_atLeastatMost__psubset__iff-4, axiom, ( ~class_Orderings_Oorder(_u12350) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u12350, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u12350, _u12351, _u12352)), c_SetInterval_Oord__class_OatLeastAtMost(_u12350, _u12353, _u12354))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12350), _u12353), _u12354)) )).
% 39.89/40.08 cnf(fact_atLeastatMost__psubset__iff-5, axiom, ( ~class_Orderings_Oorder(_u12350) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u12350, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u12350, _u12351, _u12352)), c_SetInterval_Oord__class_OatLeastAtMost(_u12350, _u12353, _u12354))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12350), _u12353), _u12354)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12350), _u12351), _u12352)) )).
% 39.89/40.08 cnf(fact_atLeastatMost__psubset__iff-6, axiom, ( ~class_Orderings_Oorder(_u12350) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u12350, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u12350, _u12351, _u12352)), c_SetInterval_Oord__class_OatLeastAtMost(_u12350, _u12353, _u12354))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12350), _u12353), _u12354)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12350), _u12353), _u12351)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12350), _u12352), _u12354)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12350), _u12353), _u12351)) )).
% 39.89/40.08 cnf(fact_atLeastatMost__psubset__iff-7, axiom, ( ~class_Orderings_Oorder(_u12350) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u12350, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u12350, _u12351, _u12352)), c_SetInterval_Oord__class_OatLeastAtMost(_u12350, _u12353, _u12354))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12350), _u12353), _u12354)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12350), _u12353), _u12351)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12350), _u12352), _u12354)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12350), _u12352), _u12354)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_ivl__disj__un_I22_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_ivl__disj__un_I22_J-1, axiom, ( ~class_Orderings_Olinorder(_u12355) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12355), _u12356), _u12357)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12355), _u12357), _u12358)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12355, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u12355, _u12356, _u12357)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u12355, _u12357, _u12358)) = c_SetInterval_Oord__class_OatLeastAtMost(_u12355, _u12356, _u12358)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_ivl__disj__int_I4_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_ivl__disj__int_I4_J-1, axiom, ( ~class_Orderings_Oorder(_u12359) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12359, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u12359), _u12360)), c_SetInterval_Oord__class_OatLeastAtMost(_u12359, _u12360, _u12361)) = c_Orderings_Obot__class_Obot(tc_fun(_u12359, tc_HOL_Obool))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_ivl__disj__int_I16_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_ivl__disj__int_I16_J-1, axiom, ( ~class_Orderings_Oorder(_u12362) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12362, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u12362, _u12363, _u12364)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u12362, _u12364, _u12365)) = c_Orderings_Obot__class_Obot(tc_fun(_u12362, tc_HOL_Obool))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_ivl__disj__int_I13_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_ivl__disj__int_I13_J-1, axiom, ( ~class_Orderings_Oorder(_u12366) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12366, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u12366, _u12367, _u12368)), c_SetInterval_Oord__class_OatLeastAtMost(_u12366, _u12368, _u12369)) = c_Orderings_Obot__class_Obot(tc_fun(_u12366, tc_HOL_Obool))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_ivl__disj__int_I12_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_ivl__disj__int_I12_J-1, axiom, ( ~class_Orderings_Oorder(_u12370) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12370, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u12370, _u12371, _u12372)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u12370, _u12372, _u12373)) = c_Orderings_Obot__class_Obot(tc_fun(_u12370, tc_HOL_Obool))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_ivl__disj__int_I7_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_ivl__disj__int_I7_J-1, axiom, ( ~class_Orderings_Oorder(_u12374) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12374, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u12374, _u12375, _u12376)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12374), _u12376)) = c_Orderings_Obot__class_Obot(tc_fun(_u12374, tc_HOL_Obool))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_Int__atLeastAtMostR2 ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_Int__atLeastAtMostR2-1, axiom, ( ~class_Orderings_Olinorder(_u12377) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12377, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u12377), _u12378)), c_SetInterval_Oord__class_OatLeastAtMost(_u12377, _u12379, _u12380)) = c_SetInterval_Oord__class_OatLeastAtMost(_u12377, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u12377), _u12378), _u12379), _u12380)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_Int__atLeastAtMostL2 ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_Int__atLeastAtMostL2-1, axiom, ( ~class_Orderings_Olinorder(_u12381) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12381, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u12381, _u12382, _u12383)), hAPP(c_SetInterval_Oord__class_OatLeast(_u12381), _u12384)) = c_SetInterval_Oord__class_OatLeastAtMost(_u12381, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u12381), _u12382), _u12384), _u12383)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_setsum__head__Suc ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_setsum__head__Suc-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12385) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u12386), _u12387)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12385), _u12388), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u12386, _u12387)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12385), hAPP(_u12388, _u12386)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12385), _u12388), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u12386), _u12387)))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_setsum__cl__ivl__Suc ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_setsum__cl__ivl__Suc-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12389) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u12390)), _u12391)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12389), _u12392), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u12391, hAPP(c_Nat_OSuc, _u12390))) = c_Groups_Ozero__class_Ozero(_u12389)) )).
% 39.89/40.08 cnf(fact_setsum__cl__ivl__Suc-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12389) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u12390)), _u12391)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12389), _u12392), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u12391, hAPP(c_Nat_OSuc, _u12390))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12389), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12389), _u12392), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u12391, _u12390))), hAPP(_u12392, hAPP(c_Nat_OSuc, _u12390)))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_setsum__head ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_setsum__head-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12393) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u12394), _u12395)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12393), _u12396), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u12394, _u12395)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12393), hAPP(_u12396, _u12394)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12393), _u12396), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u12394, _u12395)))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_setsum__ub__add__nat ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_setsum__ub__add__nat-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12397) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u12398), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12399), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12397), _u12400), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u12398, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12399), _u12401))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12397), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12397), _u12400), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u12398, _u12399))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12397), _u12400), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12399), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12399), _u12401))))) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_ivl__disj__un_I13_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_ivl__disj__un_I13_J-1, axiom, ( ~class_Orderings_Olinorder(_u12402) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12402), _u12403), _u12404)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12402, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u12402, _u12403, _u12404)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12402), _u12404)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u12402), _u12403)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_ivl__disj__un_I6_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_ivl__disj__un_I6_J-1, axiom, ( ~class_Orderings_Olinorder(_u12405) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12405), _u12406), _u12407)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12405, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u12405, _u12406), _u12407)), hAPP(hAPP(c_Set_Oinsert(_u12405), _u12407), c_Orderings_Obot__class_Obot(tc_fun(_u12405, tc_HOL_Obool)))) = c_SetInterval_Oord__class_OatLeastAtMost(_u12405, _u12406, _u12407)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_ivl__disj__un_I5_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_ivl__disj__un_I5_J-1, axiom, ( ~class_Orderings_Olinorder(_u12408) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12408), _u12409), _u12410)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12408, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u12408), _u12409), c_Orderings_Obot__class_Obot(tc_fun(_u12408, tc_HOL_Obool)))), c_SetInterval_Oord__class_OgreaterThanAtMost(_u12408, _u12409, _u12410)) = c_SetInterval_Oord__class_OatLeastAtMost(_u12408, _u12409, _u12410)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_ivl__disj__un_I18_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_ivl__disj__un_I18_J-1, axiom, ( ~class_Orderings_Olinorder(_u12411) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12411), _u12412), _u12413)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12411), _u12413), _u12414)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12411, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u12411, _u12412, _u12413)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u12411, _u12413, _u12414)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u12411, _u12412), _u12414)) )).
% 39.89/40.08
% 39.89/40.08 % Formula: fact_ivl__disj__un_I19_J ( axiom ) converted to clauses:
% 39.89/40.08 cnf(fact_ivl__disj__un_I19_J-1, axiom, ( ~class_Orderings_Olinorder(_u12415) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12415), _u12416), _u12417)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12415), _u12417), _u12418)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12415, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u12415, _u12416, _u12417)), c_SetInterval_Oord__class_OatLeastAtMost(_u12415, _u12417, _u12418)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u12415, _u12416, _u12418)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_type__definition_ORep__range ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_type__definition_ORep__range-1, axiom, ( ~c_Typedef_Otype__definition(_u12419, _u12420, _u12421, _u12422, _u12423) | ( hAPP(c_Set_Oimage(_u12419, _u12420, _u12421), c_Orderings_Otop__class_Otop(tc_fun(_u12419, tc_HOL_Obool))) = _u12423) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_type__definition_OAbs__image ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_type__definition_OAbs__image-1, axiom, ( ~c_Typedef_Otype__definition(_u12424, _u12425, _u12426, _u12427, _u12428) | ( hAPP(c_Set_Oimage(_u12425, _u12424, _u12427), _u12428) = c_Orderings_Otop__class_Otop(tc_fun(_u12424, tc_HOL_Obool))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_type__definition_ORep ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_type__definition_ORep-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u12430), hAPP(_u12431, _u12434)), _u12433)) | ~c_Typedef_Otype__definition(_u12429, _u12430, _u12431, _u12432, _u12433) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_finite__atLeastAtMost__int ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_finite__atLeastAtMost__int-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u12435, _u12436))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_SetInterval_Otransfer__int__nat__set__function__closures ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_SetInterval_Otransfer__int__nat__set__function__closures-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u12437) | c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u12437, _u12438)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_SetInterval_Otransfer__nat__int__set__function__closures ( axiom ) converted to clauses:
% 39.89/40.09 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)), _u12439)) | c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u12439, _u12440)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_atLeastLessThanPlusOne__atLeastAtMost__int ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_atLeastLessThanPlusOne__atLeastAtMost__int-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u12441), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u12442), c_Groups_Oone__class_Oone(tc_Int_Oint))) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u12441, _u12442)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_atLeastPlusOneAtMost__greaterThanAtMost__int ( axiom ) converted to clauses:
% 39.89/40.09 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), _u12443), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u12444) = c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u12443, _u12444)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_type__definition_ORep__inverse ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_type__definition_ORep__inverse-1, axiom, ( ( hAPP(_u12448, hAPP(_u12447, _u12450)) = _u12450) | ~c_Typedef_Otype__definition(_u12445, _u12446, _u12447, _u12448, _u12449) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_type__definition_ORep__inject ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_type__definition_ORep__inject-1, axiom, ( ~c_Typedef_Otype__definition(_u12451, _u12452, _u12453, _u12454, _u12455) | ( hAPP(_u12453, _u12456) != hAPP(_u12453, _u12457)) | ( _u12456 = _u12457) )).
% 39.89/40.09 cnf(fact_type__definition_ORep__inject-2, axiom, ( ~c_Typedef_Otype__definition(_u12451, _u12452, _u12453, _u12454, _u12455) | ( _u12456 != _u12457) | ( hAPP(_u12453, _u12456) = hAPP(_u12453, _u12457)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_SetInterval_Otransfer__nat__int__set__functions_I2_J ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_SetInterval_Otransfer__nat__int__set__functions_I2_J-1, axiom, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u12458, _u12459) = 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), _u12458), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u12459)))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_simp__from__to ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_simp__from__to-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u12462), _u12464)) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u12464, _u12462) = c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint, tc_HOL_Obool))) )).
% 39.89/40.09 cnf(fact_simp__from__to-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u12463), _u12465)) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u12465, _u12463) = hAPP(hAPP(c_Set_Oinsert(tc_Int_Oint), _u12465), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u12465), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u12463))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_card__atLeastAtMost__int ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_card__atLeastAtMost__int-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u12466, _u12467)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u12467), _u12466)), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_SetInterval_Otransfer__int__nat__set__functions ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_SetInterval_Otransfer__int__nat__set__functions-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u12468) | ~c_Nat__Transfer_Ois__nat(_u12469) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u12468, _u12469) = 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, _u12468), hAPP(c_Int_Onat, _u12469)))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_type__definition_OAbs__inject ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_type__definition_OAbs__inject-1, axiom, ( ~c_Typedef_Otype__definition(_u12470, _u12471, _u12472, _u12473, _u12474) | ~hBOOL(hAPP(hAPP(c_member(_u12471), _u12475), _u12474)) | ~hBOOL(hAPP(hAPP(c_member(_u12471), _u12476), _u12474)) | ( hAPP(_u12473, _u12475) != hAPP(_u12473, _u12476)) | ( _u12475 = _u12476) )).
% 39.89/40.09 cnf(fact_type__definition_OAbs__inject-2, axiom, ( ~c_Typedef_Otype__definition(_u12470, _u12471, _u12472, _u12473, _u12474) | ~hBOOL(hAPP(hAPP(c_member(_u12471), _u12475), _u12474)) | ~hBOOL(hAPP(hAPP(c_member(_u12471), _u12476), _u12474)) | ( _u12475 != _u12476) | ( hAPP(_u12473, _u12475) = hAPP(_u12473, _u12476)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_type__definition_OAbs__inverse ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_type__definition_OAbs__inverse-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12478), _u12482), _u12481)) | ( hAPP(_u12479, hAPP(_u12480, _u12482)) = _u12482) | ~c_Typedef_Otype__definition(_u12477, _u12478, _u12479, _u12480, _u12481) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_aset_I6_J ( axiom ) converted to clauses:
% 39.89/40.09 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)), _u12486)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u12487), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u12488)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u12485), _u12487)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u12485), _u12486)), _u12487)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem234(_u12488, _u12487, _u12486, _u12485)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u12486))) )).
% 39.89/40.09 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)), _u12486)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u12487), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u12488)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u12485), _u12487)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u12485), _u12486)), _u12487)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem235(_u12488, _u12487, _u12486, _u12485)), _u12488)) )).
% 39.89/40.09 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)), _u12486)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u12487), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u12488)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u12485), _u12487)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u12485), _u12486)), _u12487)) | ( _u12485 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem235(_u12488, _u12487, _u12486, _u12485)), skolem234(_u12488, _u12487, _u12486, _u12485))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_bset_I8_J ( axiom ) converted to clauses:
% 39.89/40.09 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)), _u12492)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u12493), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u12494)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u12493), _u12491)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u12493), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u12491), _u12492))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem236(_u12494, _u12493, _u12492, _u12491)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u12492))) )).
% 39.89/40.09 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)), _u12492)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u12493), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u12494)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u12493), _u12491)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u12493), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u12491), _u12492))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem237(_u12494, _u12493, _u12492, _u12491)), _u12494)) )).
% 39.89/40.09 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)), _u12492)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u12493), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u12494)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u12493), _u12491)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u12493), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u12491), _u12492))) | ( _u12491 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem237(_u12494, _u12493, _u12492, _u12491)), skolem236(_u12494, _u12493, _u12492, _u12491))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_bset_I3_J ( axiom ) converted to clauses:
% 39.89/40.09 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)), _u12497)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u12498), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u12499)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u12498), _u12497) = _u12498) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem238(_u12499, _u12498, _u12497)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u12497))) )).
% 39.89/40.09 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)), _u12497)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u12498), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u12499)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u12498), _u12497) = _u12498) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem239(_u12499, _u12498, _u12497)), _u12499)) )).
% 39.89/40.09 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)), _u12497)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u12498), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u12499)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u12498), _u12497) = _u12498) | ( _u12498 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem239(_u12499, _u12498, _u12497)), skolem238(_u12499, _u12498, _u12497))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_aset_I4_J ( axiom ) converted to clauses:
% 39.89/40.09 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)), _u12503)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u12504), _u12505)) | ( _u12502 = _u12504) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u12502), _u12503) != _u12504) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem240(_u12505, _u12504, _u12503, _u12502)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u12503))) )).
% 39.89/40.09 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)), _u12503)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u12504), _u12505)) | ( _u12502 = _u12504) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u12502), _u12503) != _u12504) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem241(_u12505, _u12504, _u12503, _u12502)), _u12505)) )).
% 39.89/40.09 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)), _u12503)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u12504), _u12505)) | ( _u12502 = _u12504) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u12502), _u12503) != _u12504) | ( _u12502 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem241(_u12505, _u12504, _u12503, _u12502)), skolem240(_u12505, _u12504, _u12503, _u12502))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_bset_I4_J ( axiom ) converted to clauses:
% 39.89/40.09 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)), _u12509)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u12510), _u12511)) | ( _u12508 = _u12510) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u12508), _u12509) != _u12510) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem242(_u12511, _u12510, _u12509, _u12508)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u12509))) )).
% 39.89/40.09 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)), _u12509)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u12510), _u12511)) | ( _u12508 = _u12510) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u12508), _u12509) != _u12510) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem243(_u12511, _u12510, _u12509, _u12508)), _u12511)) )).
% 39.89/40.09 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)), _u12509)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u12510), _u12511)) | ( _u12508 = _u12510) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u12508), _u12509) != _u12510) | ( _u12508 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem243(_u12511, _u12510, _u12509, _u12508)), skolem242(_u12511, _u12510, _u12509, _u12508))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_bset_I7_J ( axiom ) converted to clauses:
% 39.89/40.09 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)), _u12515)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u12516), _u12517)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u12516), _u12514)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u12516), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u12514), _u12515))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem244(_u12517, _u12516, _u12515, _u12514)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u12515))) )).
% 39.89/40.09 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)), _u12515)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u12516), _u12517)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u12516), _u12514)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u12516), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u12514), _u12515))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem245(_u12517, _u12516, _u12515, _u12514)), _u12517)) )).
% 39.89/40.09 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)), _u12515)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u12516), _u12517)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u12516), _u12514)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u12516), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u12514), _u12515))) | ( _u12514 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem245(_u12517, _u12516, _u12515, _u12514)), skolem244(_u12517, _u12516, _u12515, _u12514))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_aset_I3_J ( axiom ) converted to clauses:
% 39.89/40.09 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)), _u12520)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u12521), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u12522)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u12521), _u12520) = _u12521) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem246(_u12522, _u12521, _u12520)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u12520))) )).
% 39.89/40.09 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)), _u12520)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u12521), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u12522)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u12521), _u12520) = _u12521) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem247(_u12522, _u12521, _u12520)), _u12522)) )).
% 39.89/40.09 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)), _u12520)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u12521), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u12522)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u12521), _u12520) = _u12521) | ( _u12521 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem247(_u12522, _u12521, _u12520)), skolem246(_u12522, _u12521, _u12520))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_aset_I5_J ( axiom ) converted to clauses:
% 39.89/40.09 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)), _u12526)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u12527), _u12528)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u12525), _u12527)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u12525), _u12526)), _u12527)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem248(_u12528, _u12527, _u12526, _u12525)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u12526))) )).
% 39.89/40.09 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)), _u12526)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u12527), _u12528)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u12525), _u12527)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u12525), _u12526)), _u12527)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem249(_u12528, _u12527, _u12526, _u12525)), _u12528)) )).
% 39.89/40.09 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)), _u12526)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u12527), _u12528)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u12525), _u12527)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u12525), _u12526)), _u12527)) | ( _u12525 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem249(_u12528, _u12527, _u12526, _u12525)), skolem248(_u12528, _u12527, _u12526, _u12525))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_bset_I6_J ( axiom ) converted to clauses:
% 39.89/40.09 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)), _u12532)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u12531), _u12534)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u12531), _u12532)), _u12534)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem250(_u12534, _u12533, _u12532, _u12531)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u12532))) )).
% 39.89/40.09 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)), _u12532)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u12531), _u12534)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u12531), _u12532)), _u12534)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem251(_u12534, _u12533, _u12532, _u12531)), _u12533)) )).
% 39.89/40.09 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)), _u12532)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u12531), _u12534)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u12531), _u12532)), _u12534)) | ( _u12531 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem251(_u12534, _u12533, _u12532, _u12531)), skolem250(_u12534, _u12533, _u12532, _u12531))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_aset_I8_J ( axiom ) converted to clauses:
% 39.89/40.09 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)), _u12538)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u12540), _u12537)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u12540), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u12537), _u12538))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem252(_u12540, _u12539, _u12538, _u12537)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u12538))) )).
% 39.89/40.09 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)), _u12538)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u12540), _u12537)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u12540), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u12537), _u12538))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem253(_u12540, _u12539, _u12538, _u12537)), _u12539)) )).
% 39.89/40.09 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)), _u12538)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u12540), _u12537)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u12540), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u12537), _u12538))) | ( _u12537 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem253(_u12540, _u12539, _u12538, _u12537)), skolem252(_u12540, _u12539, _u12538, _u12537))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_periodic__finite__ex ( axiom ) converted to clauses:
% 39.89/40.09 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)), _u12547)) | ~hBOOL(hAPP(_u12548, _u12543)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem258(_u12548, _u12547)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u12547))) | hBOOL(hAPP(_u12548, skolem254(_u12548, _u12547))) | ~hBOOL(hAPP(_u12548, skolem256(_u12548, _u12547))) )).
% 39.89/40.09 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)), _u12547)) | ~hBOOL(hAPP(_u12548, _u12543)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem258(_u12548, _u12547)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u12547))) | hBOOL(hAPP(_u12548, skolem254(_u12548, _u12547))) | hBOOL(hAPP(_u12548, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem256(_u12548, _u12547)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem257(_u12548, _u12547)), _u12547)))) )).
% 39.89/40.09 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)), _u12547)) | ~hBOOL(hAPP(_u12548, _u12543)) | hBOOL(hAPP(_u12548, skolem258(_u12548, _u12547))) | hBOOL(hAPP(_u12548, skolem254(_u12548, _u12547))) | ~hBOOL(hAPP(_u12548, skolem256(_u12548, _u12547))) )).
% 39.89/40.09 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)), _u12547)) | ~hBOOL(hAPP(_u12548, _u12543)) | hBOOL(hAPP(_u12548, skolem258(_u12548, _u12547))) | hBOOL(hAPP(_u12548, skolem254(_u12548, _u12547))) | hBOOL(hAPP(_u12548, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem256(_u12548, _u12547)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem257(_u12548, _u12547)), _u12547)))) )).
% 39.89/40.09 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)), _u12547)) | ~hBOOL(hAPP(_u12548, _u12543)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem258(_u12548, _u12547)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u12547))) | ~hBOOL(hAPP(_u12548, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem254(_u12548, _u12547)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem255(_u12548, _u12547)), _u12547)))) | ~hBOOL(hAPP(_u12548, skolem256(_u12548, _u12547))) )).
% 39.89/40.09 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)), _u12547)) | ~hBOOL(hAPP(_u12548, _u12543)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem258(_u12548, _u12547)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u12547))) | ~hBOOL(hAPP(_u12548, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem254(_u12548, _u12547)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem255(_u12548, _u12547)), _u12547)))) | hBOOL(hAPP(_u12548, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem256(_u12548, _u12547)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem257(_u12548, _u12547)), _u12547)))) )).
% 39.89/40.09 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)), _u12547)) | ~hBOOL(hAPP(_u12548, _u12543)) | hBOOL(hAPP(_u12548, skolem258(_u12548, _u12547))) | ~hBOOL(hAPP(_u12548, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem254(_u12548, _u12547)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem255(_u12548, _u12547)), _u12547)))) | ~hBOOL(hAPP(_u12548, skolem256(_u12548, _u12547))) )).
% 39.89/40.09 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)), _u12547)) | ~hBOOL(hAPP(_u12548, _u12543)) | hBOOL(hAPP(_u12548, skolem258(_u12548, _u12547))) | ~hBOOL(hAPP(_u12548, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem254(_u12548, _u12547)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem255(_u12548, _u12547)), _u12547)))) | hBOOL(hAPP(_u12548, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem256(_u12548, _u12547)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem257(_u12548, _u12547)), _u12547)))) )).
% 39.89/40.09 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)), _u12547)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u12545), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u12547))) | ~hBOOL(hAPP(_u12548, _u12545)) | hBOOL(hAPP(_u12548, skolem259(_u12548, _u12547))) | hBOOL(hAPP(_u12548, skolem254(_u12548, _u12547))) | ~hBOOL(hAPP(_u12548, skolem256(_u12548, _u12547))) )).
% 39.89/40.09 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)), _u12547)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u12545), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u12547))) | ~hBOOL(hAPP(_u12548, _u12545)) | hBOOL(hAPP(_u12548, skolem259(_u12548, _u12547))) | hBOOL(hAPP(_u12548, skolem254(_u12548, _u12547))) | hBOOL(hAPP(_u12548, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem256(_u12548, _u12547)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem257(_u12548, _u12547)), _u12547)))) )).
% 39.89/40.09 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)), _u12547)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u12545), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u12547))) | ~hBOOL(hAPP(_u12548, _u12545)) | hBOOL(hAPP(_u12548, skolem259(_u12548, _u12547))) | ~hBOOL(hAPP(_u12548, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem254(_u12548, _u12547)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem255(_u12548, _u12547)), _u12547)))) | ~hBOOL(hAPP(_u12548, skolem256(_u12548, _u12547))) )).
% 39.89/40.09 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)), _u12547)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u12545), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u12547))) | ~hBOOL(hAPP(_u12548, _u12545)) | hBOOL(hAPP(_u12548, skolem259(_u12548, _u12547))) | ~hBOOL(hAPP(_u12548, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem254(_u12548, _u12547)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem255(_u12548, _u12547)), _u12547)))) | hBOOL(hAPP(_u12548, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem256(_u12548, _u12547)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem257(_u12548, _u12547)), _u12547)))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_aset_I7_J ( axiom ) converted to clauses:
% 39.89/40.09 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)), _u12556)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u12558), _u12555)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u12558), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u12555), _u12556))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem260(_u12558, _u12557, _u12556, _u12555)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u12556))) )).
% 39.89/40.09 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)), _u12556)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u12558), _u12555)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u12558), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u12555), _u12556))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem261(_u12558, _u12557, _u12556, _u12555)), _u12557)) )).
% 39.89/40.09 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)), _u12556)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u12558), _u12555)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u12558), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u12555), _u12556))) | ( _u12555 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem261(_u12558, _u12557, _u12556, _u12555)), skolem260(_u12558, _u12557, _u12556, _u12555))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_bset_I5_J ( axiom ) converted to clauses:
% 39.89/40.09 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)), _u12562)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u12561), _u12564)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u12561), _u12562)), _u12564)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem262(_u12564, _u12563, _u12562, _u12561)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u12562))) )).
% 39.89/40.09 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)), _u12562)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u12561), _u12564)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u12561), _u12562)), _u12564)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem263(_u12564, _u12563, _u12562, _u12561)), _u12563)) )).
% 39.89/40.09 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)), _u12562)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u12561), _u12564)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u12561), _u12562)), _u12564)) | ( _u12561 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem263(_u12564, _u12563, _u12562, _u12561)), skolem262(_u12564, _u12563, _u12562, _u12561))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_UN__le__eq__Un0 ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_UN__le__eq__Un0-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u12565, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u12566)), _u12567) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12565, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u12565, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), _u12566)), _u12567)), hAPP(_u12567, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_SetInterval_Otransfer__nat__int__set__functions_I1_J ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_SetInterval_Otransfer__nat__int__set__functions_I1_J-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u12568) = 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), _u12568)))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_finite__atMost ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_finite__atMost-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u12569))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_atMost__eq__iff ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_atMost__eq__iff-1, axiom, ( ~class_Orderings_Olinorder(_u12570) | ( hAPP(c_SetInterval_Oord__class_OatMost(_u12570), _u12571) != hAPP(c_SetInterval_Oord__class_OatMost(_u12570), _u12572)) | ( _u12571 = _u12572) )).
% 39.89/40.09 cnf(fact_atMost__eq__iff-2, axiom, ( ~class_Orderings_Olinorder(_u12570) | ( _u12571 != _u12572) | ( hAPP(c_SetInterval_Oord__class_OatMost(_u12570), _u12571) = hAPP(c_SetInterval_Oord__class_OatMost(_u12570), _u12572)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_atLeast0AtMost ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_atLeast0AtMost-1, axiom, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u12573) = hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u12573)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_lessThan__Suc__atMost ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_lessThan__Suc__atMost-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u12574)) = hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u12574)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_card__atMost ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_card__atMost-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u12575)) = hAPP(c_Nat_OSuc, _u12575)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_atMost__Suc ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_atMost__Suc-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u12576)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u12576)), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u12576))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_atMost__iff ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_atMost__iff-1, axiom, ( ~class_Orderings_Oord(_u12577) | ~hBOOL(hAPP(hAPP(c_member(_u12577), _u12578), hAPP(c_SetInterval_Oord__class_OatMost(_u12577), _u12579))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12577), _u12578), _u12579)) )).
% 39.89/40.09 cnf(fact_atMost__iff-2, axiom, ( ~class_Orderings_Oord(_u12577) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12577), _u12578), _u12579)) | hBOOL(hAPP(hAPP(c_member(_u12577), _u12578), hAPP(c_SetInterval_Oord__class_OatMost(_u12577), _u12579))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_atMost__subset__iff ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_atMost__subset__iff-1, axiom, ( ~class_Orderings_Oorder(_u12580) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12580, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u12580), _u12581)), hAPP(c_SetInterval_Oord__class_OatMost(_u12580), _u12582))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12580), _u12581), _u12582)) )).
% 39.89/40.09 cnf(fact_atMost__subset__iff-2, axiom, ( ~class_Orderings_Oorder(_u12580) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12580), _u12581), _u12582)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12580, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u12580), _u12581)), hAPP(c_SetInterval_Oord__class_OatMost(_u12580), _u12582))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_Compl__atMost ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_Compl__atMost-1, axiom, ( ~class_Orderings_Olinorder(_u12583) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12583, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u12583), _u12584)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12583), _u12584)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_Compl__greaterThan ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_Compl__greaterThan-1, axiom, ( ~class_Orderings_Olinorder(_u12585) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12585, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12585), _u12586)) = hAPP(c_SetInterval_Oord__class_OatMost(_u12585), _u12586)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_UN__atMost__UNIV ( axiom ) converted to clauses:
% 39.89/40.09 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))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_setsum__atMost__Suc ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_setsum__atMost__Suc-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12587) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12587), _u12588), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u12589))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12587), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12587), _u12588), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u12589))), hAPP(_u12588, hAPP(c_Nat_OSuc, _u12589)))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_atMost__0 ( axiom ) converted to clauses:
% 39.89/40.09 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)))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_Int__atLeastAtMostL1 ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_Int__atLeastAtMostL1-1, axiom, ( ~class_Orderings_Olinorder(_u12590) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12590, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u12590, _u12591, _u12592)), hAPP(c_SetInterval_Oord__class_OatMost(_u12590), _u12593)) = c_SetInterval_Oord__class_OatLeastAtMost(_u12590, _u12591, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u12590), _u12592), _u12593))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_Int__atLeastAtMostR1 ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_Int__atLeastAtMostR1-1, axiom, ( ~class_Orderings_Olinorder(_u12594) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12594, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u12594), _u12595)), c_SetInterval_Oord__class_OatLeastAtMost(_u12594, _u12596, _u12597)) = c_SetInterval_Oord__class_OatLeastAtMost(_u12594, _u12596, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u12594), _u12595), _u12597))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_ivl__disj__un_I9_J ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_ivl__disj__un_I9_J-1, axiom, ( ~class_Orderings_Olinorder(_u12598) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12598), _u12599), _u12600)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12598, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u12598), _u12599)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u12598, _u12599, _u12600)) = hAPP(c_SetInterval_Oord__class_OatMost(_u12598), _u12600)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_UN__le__add__shift ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_UN__le__add__shift-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u12601, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u12602)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u12601, tc_HOL_Obool), tc_Nat_Onat), _u12603), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u12604))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u12601, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u12604, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12602), _u12604))), _u12603)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_ivl__disj__int_I3_J ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_ivl__disj__int_I3_J-1, axiom, ( ~class_Orderings_Oorder(_u12605) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12605, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u12605), _u12606)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u12605, _u12606, _u12607)) = c_Orderings_Obot__class_Obot(tc_fun(_u12605, tc_HOL_Obool))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_ivl__disj__int_I1_J ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_ivl__disj__int_I1_J-1, axiom, ( ~class_Orderings_Oorder(_u12608) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12608, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u12608), _u12609)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u12608, _u12609, _u12610)) = c_Orderings_Obot__class_Obot(tc_fun(_u12608, tc_HOL_Obool))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_image__uminus__atMost ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_image__uminus__atMost-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u12611) | ( hAPP(c_Set_Oimage(_u12611, _u12611, c_Groups_Ouminus__class_Ouminus(_u12611)), hAPP(c_SetInterval_Oord__class_OatMost(_u12611), _u12612)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u12611), hAPP(c_Groups_Ouminus__class_Ouminus(_u12611), _u12612))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_image__uminus__atLeast ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_image__uminus__atLeast-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u12613) | ( hAPP(c_Set_Oimage(_u12613, _u12613, c_Groups_Ouminus__class_Ouminus(_u12613)), hAPP(c_SetInterval_Oord__class_OatLeast(_u12613), _u12614)) = hAPP(c_SetInterval_Oord__class_OatMost(_u12613), hAPP(c_Groups_Ouminus__class_Ouminus(_u12613), _u12614))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_ivl__disj__un_I2_J ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_ivl__disj__un_I2_J-1, axiom, ( ~class_Orderings_Olinorder(_u12615) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12615, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u12615), _u12616)), hAPP(hAPP(c_Set_Oinsert(_u12615), _u12616), c_Orderings_Obot__class_Obot(tc_fun(_u12615, tc_HOL_Obool)))) = hAPP(c_SetInterval_Oord__class_OatMost(_u12615), _u12616)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_ivl__disj__un_I10_J ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_ivl__disj__un_I10_J-1, axiom, ( ~class_Orderings_Olinorder(_u12617) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12617), _u12618), _u12619)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12617, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u12617), _u12618)), c_SetInterval_Oord__class_OatLeastAtMost(_u12617, _u12618, _u12619)) = hAPP(c_SetInterval_Oord__class_OatMost(_u12617), _u12619)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_atMost__Int__atLeast ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_atMost__Int__atLeast-1, axiom, ( ~class_Orderings_Oorder(_u12620) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12620, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u12620), _u12621)), hAPP(c_SetInterval_Oord__class_OatLeast(_u12620), _u12621)) = hAPP(hAPP(c_Set_Oinsert(_u12620), _u12621), c_Orderings_Obot__class_Obot(tc_fun(_u12620, tc_HOL_Obool)))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_ivl__disj__un_I7_J ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_ivl__disj__un_I7_J-1, axiom, ( ~class_Orderings_Olinorder(_u12622) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12622), _u12623), _u12624)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12622, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u12622), _u12623)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u12622, _u12623, _u12624)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u12622), _u12624)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_Max_Ohom__commute ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_Max_Ohom__commute-1, axiom, ( ~class_Orderings_Olinorder(_u12627) | ( hAPP(_u12628, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u12627), skolem264(_u12629, _u12628, _u12627)), skolem265(_u12629, _u12628, _u12627))) != hAPP(hAPP(c_Orderings_Oord__class_Omax(_u12627), hAPP(_u12628, skolem264(_u12629, _u12628, _u12627))), hAPP(_u12628, skolem265(_u12629, _u12628, _u12627)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12627), _u12629)) | ( _u12629 = c_Orderings_Obot__class_Obot(tc_fun(_u12627, tc_HOL_Obool))) | ( hAPP(_u12628, c_Big__Operators_Olinorder__class_OMax(_u12627, _u12629)) = c_Big__Operators_Olinorder__class_OMax(_u12627, hAPP(c_Set_Oimage(_u12627, _u12627, _u12628), _u12629))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_Min_Ohom__commute ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_Min_Ohom__commute-1, axiom, ( ~class_Orderings_Olinorder(_u12632) | ( hAPP(_u12633, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u12632), skolem266(_u12634, _u12633, _u12632)), skolem267(_u12634, _u12633, _u12632))) != hAPP(hAPP(c_Orderings_Oord__class_Omin(_u12632), hAPP(_u12633, skolem266(_u12634, _u12633, _u12632))), hAPP(_u12633, skolem267(_u12634, _u12633, _u12632)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12632), _u12634)) | ( _u12634 = c_Orderings_Obot__class_Obot(tc_fun(_u12632, tc_HOL_Obool))) | ( hAPP(_u12633, c_Big__Operators_Olinorder__class_OMin(_u12632, _u12634)) = c_Big__Operators_Olinorder__class_OMin(_u12632, hAPP(c_Set_Oimage(_u12632, _u12632, _u12633), _u12634))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_decr__mult__lemma ( axiom ) converted to clauses:
% 39.89/40.09 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)), _u12637)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12639)) | ~hBOOL(hAPP(_u12638, _u12636)) | hBOOL(hAPP(_u12638, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u12636), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u12639), _u12637)))) | hBOOL(hAPP(_u12638, skolem268(_u12639, _u12638, _u12637))) )).
% 39.89/40.09 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)), _u12637)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12639)) | ~hBOOL(hAPP(_u12638, _u12636)) | hBOOL(hAPP(_u12638, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u12636), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u12639), _u12637)))) | ~hBOOL(hAPP(_u12638, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem268(_u12639, _u12638, _u12637)), _u12637))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_negD ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_negD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u12641), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u12641 = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, skolem269(_u12641))))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_incr__mult__lemma ( axiom ) converted to clauses:
% 39.89/40.09 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)), _u12644)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12646)) | ~hBOOL(hAPP(_u12645, _u12643)) | hBOOL(hAPP(_u12645, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u12643), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u12646), _u12644)))) | hBOOL(hAPP(_u12645, skolem270(_u12646, _u12645, _u12644))) )).
% 39.89/40.09 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)), _u12644)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12646)) | ~hBOOL(hAPP(_u12645, _u12643)) | hBOOL(hAPP(_u12645, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u12643), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u12646), _u12644)))) | ~hBOOL(hAPP(_u12645, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem270(_u12646, _u12645, _u12644)), _u12644))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_ex__least__nat__less ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_ex__least__nat__less-1, axiom, ( hBOOL(hAPP(_u12649, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u12649, _u12650)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem271(_u12650, _u12649)), _u12650)) )).
% 39.89/40.09 cnf(fact_ex__least__nat__less-2, axiom, ( hBOOL(hAPP(_u12649, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u12649, _u12650)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u12647), skolem271(_u12650, _u12649))) | ~hBOOL(hAPP(_u12649, _u12647)) )).
% 39.89/40.09 cnf(fact_ex__least__nat__less-3, axiom, ( hBOOL(hAPP(_u12649, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u12649, _u12650)) | hBOOL(hAPP(_u12649, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem271(_u12650, _u12649)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_strong__setprod__reindex__cong ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_strong__setprod__reindex__cong-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u12652) | ~c_Fun_Oinj__on(_u12653, _u12654, _u12655, _u12656) | ( _u12657 != hAPP(c_Set_Oimage(_u12653, _u12654, _u12655), _u12656)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12654, _u12652), _u12659), _u12657) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12653, _u12652), _u12658), _u12656)) | hBOOL(hAPP(hAPP(c_member(_u12653), skolem272(_u12659, _u12658, _u12657, _u12656, _u12655, _u12654, _u12653, _u12652)), _u12656)) )).
% 39.89/40.09 cnf(fact_strong__setprod__reindex__cong-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u12652) | ~c_Fun_Oinj__on(_u12653, _u12654, _u12655, _u12656) | ( _u12657 != hAPP(c_Set_Oimage(_u12653, _u12654, _u12655), _u12656)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12654, _u12652), _u12659), _u12657) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12653, _u12652), _u12658), _u12656)) | ( hAPP(_u12658, skolem272(_u12659, _u12658, _u12657, _u12656, _u12655, _u12654, _u12653, _u12652)) != hAPP(hAPP(c_Fun_Ocomp(_u12654, _u12652, _u12653, _u12659), _u12655), skolem272(_u12659, _u12658, _u12657, _u12656, _u12655, _u12654, _u12653, _u12652))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_setprod__mono__one__right ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_setprod__mono__one__right-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u12661) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12662), _u12663)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12662, tc_HOL_Obool)), _u12664), _u12663)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12662, _u12661), _u12665), _u12663) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12662, _u12661), _u12665), _u12664)) | hBOOL(hAPP(hAPP(c_member(_u12662), skolem273(_u12665, _u12664, _u12663, _u12662, _u12661)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12662, tc_HOL_Obool)), _u12663), _u12664))) )).
% 39.89/40.09 cnf(fact_setprod__mono__one__right-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u12661) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12662), _u12663)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12662, tc_HOL_Obool)), _u12664), _u12663)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12662, _u12661), _u12665), _u12663) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12662, _u12661), _u12665), _u12664)) | ( hAPP(_u12665, skolem273(_u12665, _u12664, _u12663, _u12662, _u12661)) != c_Groups_Oone__class_Oone(_u12661)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_setprod__mono__one__left ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_setprod__mono__one__left-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u12667) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12668), _u12669)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12668, tc_HOL_Obool)), _u12670), _u12669)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12668, _u12667), _u12671), _u12670) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12668, _u12667), _u12671), _u12669)) | hBOOL(hAPP(hAPP(c_member(_u12668), skolem274(_u12671, _u12670, _u12669, _u12668, _u12667)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12668, tc_HOL_Obool)), _u12669), _u12670))) )).
% 39.89/40.09 cnf(fact_setprod__mono__one__left-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u12667) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12668), _u12669)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12668, tc_HOL_Obool)), _u12670), _u12669)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12668, _u12667), _u12671), _u12670) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12668, _u12667), _u12671), _u12669)) | ( hAPP(_u12671, skolem274(_u12671, _u12670, _u12669, _u12668, _u12667)) != c_Groups_Oone__class_Oone(_u12667)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_zero__less__imp__eq__int ( axiom ) converted to clauses:
% 39.89/40.09 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)), _u12673)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem275(_u12673))) )).
% 39.89/40.09 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)), _u12673)) | ( _u12673 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem275(_u12673))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_setsum__mono__zero__right ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_setsum__mono__zero__right-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12675) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12676), _u12677)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12676, tc_HOL_Obool)), _u12678), _u12677)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12676, _u12675), _u12679), _u12677) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12676, _u12675), _u12679), _u12678)) | hBOOL(hAPP(hAPP(c_member(_u12676), skolem276(_u12679, _u12678, _u12677, _u12676, _u12675)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12676, tc_HOL_Obool)), _u12677), _u12678))) )).
% 39.89/40.09 cnf(fact_setsum__mono__zero__right-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12675) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12676), _u12677)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12676, tc_HOL_Obool)), _u12678), _u12677)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12676, _u12675), _u12679), _u12677) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12676, _u12675), _u12679), _u12678)) | ( hAPP(_u12679, skolem276(_u12679, _u12678, _u12677, _u12676, _u12675)) != c_Groups_Ozero__class_Ozero(_u12675)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_setsum__mono__zero__left ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_setsum__mono__zero__left-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12681) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12682), _u12683)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12682, tc_HOL_Obool)), _u12684), _u12683)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12682, _u12681), _u12685), _u12684) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12682, _u12681), _u12685), _u12683)) | hBOOL(hAPP(hAPP(c_member(_u12682), skolem277(_u12685, _u12684, _u12683, _u12682, _u12681)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12682, tc_HOL_Obool)), _u12683), _u12684))) )).
% 39.89/40.09 cnf(fact_setsum__mono__zero__left-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12681) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12682), _u12683)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12682, tc_HOL_Obool)), _u12684), _u12683)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12682, _u12681), _u12685), _u12684) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12682, _u12681), _u12685), _u12683)) | ( hAPP(_u12685, skolem277(_u12685, _u12684, _u12683, _u12682, _u12681)) != c_Groups_Ozero__class_Ozero(_u12681)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_field__le__mult__one__interval ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_field__le__mult__one__interval-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u12687) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12687), _u12688), _u12689)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12687), c_Groups_Ozero__class_Ozero(_u12687)), skolem278(_u12689, _u12688, _u12687))) )).
% 39.89/40.09 cnf(fact_field__le__mult__one__interval-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u12687) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12687), _u12688), _u12689)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12687), skolem278(_u12689, _u12688, _u12687)), c_Groups_Oone__class_Oone(_u12687))) )).
% 39.89/40.09 cnf(fact_field__le__mult__one__interval-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u12687) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12687), _u12688), _u12689)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12687), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12687), skolem278(_u12689, _u12688, _u12687)), _u12688)), _u12689)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_transfer__nat__int__sum__prod__cong_I2_J ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_transfer__nat__int__sum__prod__cong_I2_J-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12691) | ~class_Groups_Ocomm__monoid__mult(_u12691) | ( _u12692 != _u12693) | ~c_Nat__Transfer_Onat__set(_u12693) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u12691), _u12694), _u12692) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u12691), _u12695), _u12693)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem279(_u12695, _u12694, _u12693, _u12692, _u12691))) )).
% 39.89/40.09 cnf(fact_transfer__nat__int__sum__prod__cong_I2_J-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12691) | ~class_Groups_Ocomm__monoid__mult(_u12691) | ( _u12692 != _u12693) | ~c_Nat__Transfer_Onat__set(_u12693) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u12691), _u12694), _u12692) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u12691), _u12695), _u12693)) | ( hAPP(_u12694, skolem279(_u12695, _u12694, _u12693, _u12692, _u12691)) != hAPP(_u12695, skolem279(_u12695, _u12694, _u12693, _u12692, _u12691))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_sgn__1__neg ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_sgn__1__neg-1, axiom, ( ~class_Rings_Olinordered__idom(_u12696) | ( c_Groups_Osgn__class_Osgn(_u12696, _u12697) != hAPP(c_Groups_Ouminus__class_Ouminus(_u12696), c_Groups_Oone__class_Oone(_u12696))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12696), _u12697), c_Groups_Ozero__class_Ozero(_u12696))) )).
% 39.89/40.09 cnf(fact_sgn__1__neg-2, axiom, ( ~class_Rings_Olinordered__idom(_u12696) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12696), _u12697), c_Groups_Ozero__class_Ozero(_u12696))) | ( c_Groups_Osgn__class_Osgn(_u12696, _u12697) = hAPP(c_Groups_Ouminus__class_Ouminus(_u12696), c_Groups_Oone__class_Oone(_u12696))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_sgn__times ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_sgn__times-1, axiom, ( ~class_Rings_Olinordered__idom(_u12698) | ( c_Groups_Osgn__class_Osgn(_u12698, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12698), _u12699), _u12700)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12698), c_Groups_Osgn__class_Osgn(_u12698, _u12699)), c_Groups_Osgn__class_Osgn(_u12698, _u12700))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_sgn__sgn ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_sgn__sgn-1, axiom, ( ~class_Rings_Olinordered__idom(_u12701) | ( c_Groups_Osgn__class_Osgn(_u12701, c_Groups_Osgn__class_Osgn(_u12701, _u12702)) = c_Groups_Osgn__class_Osgn(_u12701, _u12702)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_sgn0 ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_sgn0-1, axiom, ( ~class_Groups_Osgn__if(_u12703) | ( c_Groups_Osgn__class_Osgn(_u12703, c_Groups_Ozero__class_Ozero(_u12703)) = c_Groups_Ozero__class_Ozero(_u12703)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_sgn__0__0 ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_sgn__0__0-1, axiom, ( ~class_Rings_Olinordered__idom(_u12704) | ( c_Groups_Osgn__class_Osgn(_u12704, _u12705) != c_Groups_Ozero__class_Ozero(_u12704)) | ( _u12705 = c_Groups_Ozero__class_Ozero(_u12704)) )).
% 39.89/40.09 cnf(fact_sgn__0__0-2, axiom, ( ~class_Rings_Olinordered__idom(_u12704) | ( _u12705 != c_Groups_Ozero__class_Ozero(_u12704)) | ( c_Groups_Osgn__class_Osgn(_u12704, _u12705) = c_Groups_Ozero__class_Ozero(_u12704)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_sgn__greater ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_sgn__greater-1, axiom, ( ~class_Rings_Olinordered__idom(_u12706) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12706), c_Groups_Ozero__class_Ozero(_u12706)), c_Groups_Osgn__class_Osgn(_u12706, _u12707))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12706), c_Groups_Ozero__class_Ozero(_u12706)), _u12707)) )).
% 39.89/40.09 cnf(fact_sgn__greater-2, axiom, ( ~class_Rings_Olinordered__idom(_u12706) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12706), c_Groups_Ozero__class_Ozero(_u12706)), _u12707)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12706), c_Groups_Ozero__class_Ozero(_u12706)), c_Groups_Osgn__class_Osgn(_u12706, _u12707))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_sgn__less ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_sgn__less-1, axiom, ( ~class_Rings_Olinordered__idom(_u12708) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12708), c_Groups_Osgn__class_Osgn(_u12708, _u12709)), c_Groups_Ozero__class_Ozero(_u12708))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12708), _u12709), c_Groups_Ozero__class_Ozero(_u12708))) )).
% 39.89/40.09 cnf(fact_sgn__less-2, axiom, ( ~class_Rings_Olinordered__idom(_u12708) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12708), _u12709), c_Groups_Ozero__class_Ozero(_u12708))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12708), c_Groups_Osgn__class_Osgn(_u12708, _u12709)), c_Groups_Ozero__class_Ozero(_u12708))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_sgn__pos ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_sgn__pos-1, axiom, ( ~class_Rings_Olinordered__idom(_u12710) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12710), c_Groups_Ozero__class_Ozero(_u12710)), _u12711)) | ( c_Groups_Osgn__class_Osgn(_u12710, _u12711) = c_Groups_Oone__class_Oone(_u12710)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_sgn__1__pos ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_sgn__1__pos-1, axiom, ( ~class_Rings_Olinordered__idom(_u12712) | ( c_Groups_Osgn__class_Osgn(_u12712, _u12713) != c_Groups_Oone__class_Oone(_u12712)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12712), c_Groups_Ozero__class_Ozero(_u12712)), _u12713)) )).
% 39.89/40.09 cnf(fact_sgn__1__pos-2, axiom, ( ~class_Rings_Olinordered__idom(_u12712) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12712), c_Groups_Ozero__class_Ozero(_u12712)), _u12713)) | ( c_Groups_Osgn__class_Osgn(_u12712, _u12713) = c_Groups_Oone__class_Oone(_u12712)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_zsgn__def ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_zsgn__def-1, axiom, ( ( _u12715 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u12715) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 39.89/40.09 cnf(fact_zsgn__def-2, axiom, ( ( _u12716 = 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)), _u12716)) | ( c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u12716) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 39.89/40.09 cnf(fact_zsgn__def-3, axiom, ( ( _u12716 = 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)), _u12716)) | ( c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u12716) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_sgn__if ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_sgn__if-1, axiom, ( ~class_Groups_Osgn__if(_u12717) | ( _u12718 != c_Groups_Ozero__class_Ozero(_u12717)) | ( c_Groups_Osgn__class_Osgn(_u12717, _u12718) = c_Groups_Ozero__class_Ozero(_u12717)) )).
% 39.89/40.09 cnf(fact_sgn__if-2, axiom, ( ~class_Groups_Osgn__if(_u12717) | ( _u12718 = c_Groups_Ozero__class_Ozero(_u12717)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12717), c_Groups_Ozero__class_Ozero(_u12717)), _u12718)) | ( c_Groups_Osgn__class_Osgn(_u12717, _u12718) = c_Groups_Oone__class_Oone(_u12717)) )).
% 39.89/40.09 cnf(fact_sgn__if-3, axiom, ( ~class_Groups_Osgn__if(_u12717) | ( _u12718 = c_Groups_Ozero__class_Ozero(_u12717)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12717), c_Groups_Ozero__class_Ozero(_u12717)), _u12718)) | ( c_Groups_Osgn__class_Osgn(_u12717, _u12718) = hAPP(c_Groups_Ouminus__class_Ouminus(_u12717), c_Groups_Oone__class_Oone(_u12717))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_sgn__neg ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_sgn__neg-1, axiom, ( ~class_Rings_Olinordered__idom(_u12719) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12719), _u12720), c_Groups_Ozero__class_Ozero(_u12719))) | ( c_Groups_Osgn__class_Osgn(_u12719, _u12720) = hAPP(c_Groups_Ouminus__class_Ouminus(_u12719), c_Groups_Oone__class_Oone(_u12719))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_code__numeral_Osimps_I5_J ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_code__numeral_Osimps_I5_J-1, axiom, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(_u12721, _u12722, _u12723, c_Code__Numeral_OSuc__code__numeral(_u12724)) = hAPP(_u12723, _u12724)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_incr__lemma ( axiom ) converted to clauses:
% 39.89/40.09 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)), _u12725)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u12726), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u12727), 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), _u12727), _u12726))), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u12725)))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_decr__lemma ( axiom ) converted to clauses:
% 39.89/40.09 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)), _u12728)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u12729), 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), _u12729), _u12730))), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u12728))), _u12730)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_setsum__abs ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_setsum__abs-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u12731) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12731), hAPP(c_Groups_Oabs__class_Oabs(_u12731), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12732, _u12731), _u12733), _u12734))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12732, _u12731), hAPP(hAPP(c_COMBB(_u12731, _u12731, _u12732), c_Groups_Oabs__class_Oabs(_u12731)), _u12733)), _u12734))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_setsum__abs__ge__zero ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_setsum__abs__ge__zero-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u12735) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12735), c_Groups_Ozero__class_Ozero(_u12735)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12736, _u12735), hAPP(hAPP(c_COMBB(_u12735, _u12735, _u12736), c_Groups_Oabs__class_Oabs(_u12735)), _u12737)), _u12738))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_abs__power__minus ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_abs__power__minus-1, axiom, ( ~class_Rings_Olinordered__idom(_u12739) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12739), hAPP(hAPP(c_Power_Opower__class_Opower(_u12739), hAPP(c_Groups_Ouminus__class_Ouminus(_u12739), _u12740)), _u12741)) = hAPP(c_Groups_Oabs__class_Oabs(_u12739), hAPP(hAPP(c_Power_Opower__class_Opower(_u12739), _u12740), _u12741))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_nonzero__abs__divide ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_nonzero__abs__divide-1, axiom, ( ~class_Fields_Olinordered__field(_u12742) | ( _u12743 = c_Groups_Ozero__class_Ozero(_u12742)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12742), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12742), _u12744), _u12743)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12742), hAPP(c_Groups_Oabs__class_Oabs(_u12742), _u12744)), hAPP(c_Groups_Oabs__class_Oabs(_u12742), _u12743))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_abs__le__D2 ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_abs__le__D2-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u12745) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12745), hAPP(c_Groups_Oabs__class_Oabs(_u12745), _u12746)), _u12747)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12745), hAPP(c_Groups_Ouminus__class_Ouminus(_u12745), _u12746)), _u12747)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_abs__leI ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_abs__leI-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u12748) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12748), _u12749), _u12750)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12748), hAPP(c_Groups_Ouminus__class_Ouminus(_u12748), _u12749)), _u12750)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12748), hAPP(c_Groups_Oabs__class_Oabs(_u12748), _u12749)), _u12750)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_abs__le__iff ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_abs__le__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u12751) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12751), hAPP(c_Groups_Oabs__class_Oabs(_u12751), _u12752)), _u12753)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12751), _u12752), _u12753)) )).
% 39.89/40.09 cnf(fact_abs__le__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u12751) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12751), hAPP(c_Groups_Oabs__class_Oabs(_u12751), _u12752)), _u12753)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12751), hAPP(c_Groups_Ouminus__class_Ouminus(_u12751), _u12752)), _u12753)) )).
% 39.89/40.09 cnf(fact_abs__le__iff-3, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u12751) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12751), _u12752), _u12753)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12751), hAPP(c_Groups_Ouminus__class_Ouminus(_u12751), _u12752)), _u12753)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12751), hAPP(c_Groups_Oabs__class_Oabs(_u12751), _u12752)), _u12753)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_abs__ge__minus__self ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_abs__ge__minus__self-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u12754) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12754), hAPP(c_Groups_Ouminus__class_Ouminus(_u12754), _u12755)), hAPP(c_Groups_Oabs__class_Oabs(_u12754), _u12755))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_abs__less__iff ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_abs__less__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u12756) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12756), hAPP(c_Groups_Oabs__class_Oabs(_u12756), _u12757)), _u12758)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12756), _u12757), _u12758)) )).
% 39.89/40.09 cnf(fact_abs__less__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u12756) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12756), hAPP(c_Groups_Oabs__class_Oabs(_u12756), _u12757)), _u12758)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12756), hAPP(c_Groups_Ouminus__class_Ouminus(_u12756), _u12757)), _u12758)) )).
% 39.89/40.09 cnf(fact_abs__less__iff-3, axiom, ( ~class_Rings_Olinordered__idom(_u12756) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12756), _u12757), _u12758)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12756), hAPP(c_Groups_Ouminus__class_Ouminus(_u12756), _u12757)), _u12758)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12756), hAPP(c_Groups_Oabs__class_Oabs(_u12756), _u12757)), _u12758)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_abs__mult__less ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_abs__mult__less-1, axiom, ( ~class_Rings_Olinordered__idom(_u12759) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12759), hAPP(c_Groups_Oabs__class_Oabs(_u12759), _u12760)), _u12761)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12759), hAPP(c_Groups_Oabs__class_Oabs(_u12759), _u12762)), _u12763)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12759), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12759), hAPP(c_Groups_Oabs__class_Oabs(_u12759), _u12760)), hAPP(c_Groups_Oabs__class_Oabs(_u12759), _u12762))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12759), _u12761), _u12763))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_abs__triangle__ineq3 ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_abs__triangle__ineq3-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u12764) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12764), hAPP(c_Groups_Oabs__class_Oabs(_u12764), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u12764), hAPP(c_Groups_Oabs__class_Oabs(_u12764), _u12765)), hAPP(c_Groups_Oabs__class_Oabs(_u12764), _u12766)))), hAPP(c_Groups_Oabs__class_Oabs(_u12764), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u12764), _u12765), _u12766)))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_abs__triangle__ineq2 ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_abs__triangle__ineq2-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u12767) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12767), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u12767), hAPP(c_Groups_Oabs__class_Oabs(_u12767), _u12768)), hAPP(c_Groups_Oabs__class_Oabs(_u12767), _u12769))), hAPP(c_Groups_Oabs__class_Oabs(_u12767), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u12767), _u12768), _u12769)))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_abs__triangle__ineq2__sym ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_abs__triangle__ineq2__sym-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u12770) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12770), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u12770), hAPP(c_Groups_Oabs__class_Oabs(_u12770), _u12771)), hAPP(c_Groups_Oabs__class_Oabs(_u12770), _u12772))), hAPP(c_Groups_Oabs__class_Oabs(_u12770), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u12770), _u12772), _u12771)))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_abs__minus__commute ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_abs__minus__commute-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u12773) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12773), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u12773), _u12774), _u12775)) = hAPP(c_Groups_Oabs__class_Oabs(_u12773), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u12773), _u12775), _u12774))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_abs__eq__0 ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_abs__eq__0-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u12776) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12776), _u12777) != c_Groups_Ozero__class_Ozero(_u12776)) | ( _u12777 = c_Groups_Ozero__class_Ozero(_u12776)) )).
% 39.89/40.09 cnf(fact_abs__eq__0-2, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u12776) | ( _u12777 != c_Groups_Ozero__class_Ozero(_u12776)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12776), _u12777) = c_Groups_Ozero__class_Ozero(_u12776)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_abs__zero ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_abs__zero-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u12778) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12778), c_Groups_Ozero__class_Ozero(_u12778)) = c_Groups_Ozero__class_Ozero(_u12778)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_abs__setsum__abs ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_abs__setsum__abs-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u12779) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12779), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12780, _u12779), hAPP(hAPP(c_COMBB(_u12779, _u12779, _u12780), c_Groups_Oabs__class_Oabs(_u12779)), _u12781)), _u12782)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12780, _u12779), hAPP(hAPP(c_COMBB(_u12779, _u12779, _u12780), c_Groups_Oabs__class_Oabs(_u12779)), _u12781)), _u12782)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_power__abs ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_power__abs-1, axiom, ( ~class_Rings_Olinordered__idom(_u12783) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12783), hAPP(hAPP(c_Power_Opower__class_Opower(_u12783), _u12784), _u12785)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u12783), hAPP(c_Groups_Oabs__class_Oabs(_u12783), _u12784)), _u12785)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_abs__minus__cancel ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_abs__minus__cancel-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u12786) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12786), hAPP(c_Groups_Ouminus__class_Ouminus(_u12786), _u12787)) = hAPP(c_Groups_Oabs__class_Oabs(_u12786), _u12787)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_abs__mult__self ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_abs__mult__self-1, axiom, ( ~class_Rings_Olinordered__idom(_u12788) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12788), hAPP(c_Groups_Oabs__class_Oabs(_u12788), _u12789)), hAPP(c_Groups_Oabs__class_Oabs(_u12788), _u12789)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12788), _u12789), _u12789)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_abs__mult ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_abs__mult-1, axiom, ( ~class_Rings_Olinordered__idom(_u12790) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12790), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12790), _u12791), _u12792)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12790), hAPP(c_Groups_Oabs__class_Oabs(_u12790), _u12791)), hAPP(c_Groups_Oabs__class_Oabs(_u12790), _u12792))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_abs__add__abs ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_abs__add__abs-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u12793) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12793), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12793), hAPP(c_Groups_Oabs__class_Oabs(_u12793), _u12794)), hAPP(c_Groups_Oabs__class_Oabs(_u12793), _u12795))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12793), hAPP(c_Groups_Oabs__class_Oabs(_u12793), _u12794)), hAPP(c_Groups_Oabs__class_Oabs(_u12793), _u12795))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_abs__of__nat ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_abs__of__nat-1, axiom, ( ~class_Rings_Olinordered__idom(_u12796) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12796), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u12796), _u12797)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u12796), _u12797)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_abs__idempotent ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_abs__idempotent-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u12798) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12798), hAPP(c_Groups_Oabs__class_Oabs(_u12798), _u12799)) = hAPP(c_Groups_Oabs__class_Oabs(_u12798), _u12799)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_abs__int__eq ( axiom ) converted to clauses:
% 39.89/40.09 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), _u12800)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u12800)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_abs__le__D1 ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_abs__le__D1-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u12801) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12801), hAPP(c_Groups_Oabs__class_Oabs(_u12801), _u12802)), _u12803)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12801), _u12802), _u12803)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_abs__ge__self ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_abs__ge__self-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u12804) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12804), _u12805), hAPP(c_Groups_Oabs__class_Oabs(_u12804), _u12805))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_abs__setprod ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_abs__setprod-1, axiom, ( ~class_Fields_Olinordered__field(_u12806) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12806), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12807, _u12806), _u12808), _u12809)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12807, _u12806), hAPP(hAPP(c_COMBB(_u12806, _u12806, _u12807), c_Groups_Oabs__class_Oabs(_u12806)), _u12808)), _u12809)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_abs__one ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_abs__one-1, axiom, ( ~class_Rings_Olinordered__idom(_u12810) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12810), c_Groups_Oone__class_Oone(_u12810)) = c_Groups_Oone__class_Oone(_u12810)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_abs__divide ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_abs__divide-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u12811) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12811), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12811), _u12812), _u12813)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12811), hAPP(c_Groups_Oabs__class_Oabs(_u12811), _u12812)), hAPP(c_Groups_Oabs__class_Oabs(_u12811), _u12813))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_abs__of__pos ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_abs__of__pos-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u12814) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12814), c_Groups_Ozero__class_Ozero(_u12814)), _u12815)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12814), _u12815) = _u12815) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_zero__less__abs__iff ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_zero__less__abs__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u12816) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12816), c_Groups_Ozero__class_Ozero(_u12816)), hAPP(c_Groups_Oabs__class_Oabs(_u12816), _u12817))) | ( _u12817 != c_Groups_Ozero__class_Ozero(_u12816)) )).
% 39.89/40.09 cnf(fact_zero__less__abs__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u12816) | ( _u12817 = c_Groups_Ozero__class_Ozero(_u12816)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12816), c_Groups_Ozero__class_Ozero(_u12816)), hAPP(c_Groups_Oabs__class_Oabs(_u12816), _u12817))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_abs__not__less__zero ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_abs__not__less__zero-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u12818) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12818), hAPP(c_Groups_Oabs__class_Oabs(_u12818), _u12819)), c_Groups_Ozero__class_Ozero(_u12818))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_abs__of__nonneg ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_abs__of__nonneg-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u12820) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12820), c_Groups_Ozero__class_Ozero(_u12820)), _u12821)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12820), _u12821) = _u12821) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_abs__le__zero__iff ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_abs__le__zero__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u12822) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12822), hAPP(c_Groups_Oabs__class_Oabs(_u12822), _u12823)), c_Groups_Ozero__class_Ozero(_u12822))) | ( _u12823 = c_Groups_Ozero__class_Ozero(_u12822)) )).
% 39.89/40.09 cnf(fact_abs__le__zero__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u12822) | ( _u12823 != c_Groups_Ozero__class_Ozero(_u12822)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12822), hAPP(c_Groups_Oabs__class_Oabs(_u12822), _u12823)), c_Groups_Ozero__class_Ozero(_u12822))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_abs__ge__zero ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_abs__ge__zero-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u12824) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12824), c_Groups_Ozero__class_Ozero(_u12824)), hAPP(c_Groups_Oabs__class_Oabs(_u12824), _u12825))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_abs__triangle__ineq ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_abs__triangle__ineq-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u12826) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12826), hAPP(c_Groups_Oabs__class_Oabs(_u12826), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12826), _u12827), _u12828))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12826), hAPP(c_Groups_Oabs__class_Oabs(_u12826), _u12827)), hAPP(c_Groups_Oabs__class_Oabs(_u12826), _u12828)))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_abs__zmult__eq__1 ( axiom ) converted to clauses:
% 39.89/40.09 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), _u12829), _u12830)) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u12829) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_abs__sgn ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_abs__sgn-1, axiom, ( ~class_Rings_Olinordered__idom(_u12831) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12831), _u12832) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12831), _u12832), c_Groups_Osgn__class_Osgn(_u12831, _u12832))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_mult__sgn__abs ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_mult__sgn__abs-1, axiom, ( ~class_Rings_Olinordered__idom(_u12833) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12833), c_Groups_Osgn__class_Osgn(_u12833, _u12834)), hAPP(c_Groups_Oabs__class_Oabs(_u12833), _u12834)) = _u12834) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_abs__eq__mult ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_abs__eq__mult-1, axiom, ( ~class_Rings_Oordered__ring__abs(_u12835) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12835), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12835), _u12836), _u12837)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12835), hAPP(c_Groups_Oabs__class_Oabs(_u12835), _u12836)), hAPP(c_Groups_Oabs__class_Oabs(_u12835), _u12837))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12835), c_Groups_Ozero__class_Ozero(_u12835)), _u12836)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12835), c_Groups_Ozero__class_Ozero(_u12835)), _u12837)) )).
% 39.89/40.09 cnf(fact_abs__eq__mult-2, axiom, ( ~class_Rings_Oordered__ring__abs(_u12835) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12835), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12835), _u12836), _u12837)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12835), hAPP(c_Groups_Oabs__class_Oabs(_u12835), _u12836)), hAPP(c_Groups_Oabs__class_Oabs(_u12835), _u12837))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12835), c_Groups_Ozero__class_Ozero(_u12835)), _u12836)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12835), _u12837), c_Groups_Ozero__class_Ozero(_u12835))) )).
% 39.89/40.09 cnf(fact_abs__eq__mult-3, axiom, ( ~class_Rings_Oordered__ring__abs(_u12835) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12835), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12835), _u12836), _u12837)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12835), hAPP(c_Groups_Oabs__class_Oabs(_u12835), _u12836)), hAPP(c_Groups_Oabs__class_Oabs(_u12835), _u12837))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12835), _u12836), c_Groups_Ozero__class_Ozero(_u12835))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12835), c_Groups_Ozero__class_Ozero(_u12835)), _u12837)) )).
% 39.89/40.09 cnf(fact_abs__eq__mult-4, axiom, ( ~class_Rings_Oordered__ring__abs(_u12835) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12835), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12835), _u12836), _u12837)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12835), hAPP(c_Groups_Oabs__class_Oabs(_u12835), _u12836)), hAPP(c_Groups_Oabs__class_Oabs(_u12835), _u12837))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12835), _u12836), c_Groups_Ozero__class_Ozero(_u12835))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12835), _u12837), c_Groups_Ozero__class_Ozero(_u12835))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_abs__mult__pos ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_abs__mult__pos-1, axiom, ( ~class_Rings_Olinordered__idom(_u12838) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12838), c_Groups_Ozero__class_Ozero(_u12838)), _u12839)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12838), hAPP(c_Groups_Oabs__class_Oabs(_u12838), _u12840)), _u12839) = hAPP(c_Groups_Oabs__class_Oabs(_u12838), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12838), _u12840), _u12839))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_abs__diff__triangle__ineq ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_abs__diff__triangle__ineq-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u12841) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12841), hAPP(c_Groups_Oabs__class_Oabs(_u12841), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u12841), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12841), _u12842), _u12843)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12841), _u12844), _u12845)))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12841), hAPP(c_Groups_Oabs__class_Oabs(_u12841), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u12841), _u12842), _u12844))), hAPP(c_Groups_Oabs__class_Oabs(_u12841), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u12841), _u12843), _u12845))))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_abs__triangle__ineq4 ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_abs__triangle__ineq4-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u12846) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12846), hAPP(c_Groups_Oabs__class_Oabs(_u12846), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u12846), _u12847), _u12848))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12846), hAPP(c_Groups_Oabs__class_Oabs(_u12846), _u12847)), hAPP(c_Groups_Oabs__class_Oabs(_u12846), _u12848)))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_abs__minus__le__zero ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_abs__minus__le__zero-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u12849) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12849), hAPP(c_Groups_Ouminus__class_Ouminus(_u12849), hAPP(c_Groups_Oabs__class_Oabs(_u12849), _u12850))), c_Groups_Ozero__class_Ozero(_u12849))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_abs__of__nonpos ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_abs__of__nonpos-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u12851) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12851), _u12852), c_Groups_Ozero__class_Ozero(_u12851))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12851), _u12852) = hAPP(c_Groups_Ouminus__class_Ouminus(_u12851), _u12852)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_abs__if ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_abs__if-1, axiom, ( ~class_Groups_Oabs__if(_u12853) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12853), _u12854), c_Groups_Ozero__class_Ozero(_u12853))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12853), _u12854) = hAPP(c_Groups_Ouminus__class_Ouminus(_u12853), _u12854)) )).
% 39.89/40.09 cnf(fact_abs__if-2, axiom, ( ~class_Groups_Oabs__if(_u12853) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12853), _u12854), c_Groups_Ozero__class_Ozero(_u12853))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12853), _u12854) = _u12854) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_abs__of__neg ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_abs__of__neg-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u12855) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12855), _u12856), c_Groups_Ozero__class_Ozero(_u12855))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12855), _u12856) = hAPP(c_Groups_Ouminus__class_Ouminus(_u12855), _u12856)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_zero__le__power__abs ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_zero__le__power__abs-1, axiom, ( ~class_Rings_Olinordered__idom(_u12857) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12857), c_Groups_Ozero__class_Ozero(_u12857)), hAPP(hAPP(c_Power_Opower__class_Opower(_u12857), hAPP(c_Groups_Oabs__class_Oabs(_u12857), _u12858)), _u12859))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_abs__div__pos ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_abs__div__pos-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u12860) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12860), c_Groups_Ozero__class_Ozero(_u12860)), _u12861)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12860), hAPP(c_Groups_Oabs__class_Oabs(_u12860), _u12862)), _u12861) = hAPP(c_Groups_Oabs__class_Oabs(_u12860), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12860), _u12862), _u12861))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_abs__minus__one ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_abs__minus__one-1, axiom, ( ~class_Int_Onumber__ring(_u12863) | ~class_Rings_Olinordered__idom(_u12863) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12863), hAPP(c_Int_Onumber__class_Onumber__of(_u12863), c_Int_OMin)) = c_Groups_Oone__class_Oone(_u12863)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_zabs__less__one__iff ( axiom ) converted to clauses:
% 39.89/40.09 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), _u12865)), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ( _u12865 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 39.89/40.09 cnf(fact_zabs__less__one__iff-2, axiom, ( ( _u12866 != 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), _u12866)), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_zabs__def ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_zabs__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u12868), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u12868) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u12868)) )).
% 39.89/40.09 cnf(fact_zabs__def-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u12869), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u12869) = _u12869) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_nat__abs__mult__distrib ( axiom ) converted to clauses:
% 39.89/40.09 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), _u12870), _u12871))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u12870))), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u12871)))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_zero__le__zpower__abs ( axiom ) converted to clauses:
% 39.89/40.09 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), _u12872)), _u12873))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_abs__number__of ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_abs__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u12874) | ~class_Rings_Olinordered__idom(_u12874) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12874), hAPP(c_Int_Onumber__class_Onumber__of(_u12874), _u12875)), c_Groups_Ozero__class_Ozero(_u12874))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12874), hAPP(c_Int_Onumber__class_Onumber__of(_u12874), _u12875)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u12874), hAPP(c_Int_Onumber__class_Onumber__of(_u12874), _u12875))) )).
% 39.89/40.09 cnf(fact_abs__number__of-2, axiom, ( ~class_Int_Onumber__ring(_u12874) | ~class_Rings_Olinordered__idom(_u12874) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12874), hAPP(c_Int_Onumber__class_Onumber__of(_u12874), _u12875)), c_Groups_Ozero__class_Ozero(_u12874))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12874), hAPP(c_Int_Onumber__class_Onumber__of(_u12874), _u12875)) = hAPP(c_Int_Onumber__class_Onumber__of(_u12874), _u12875)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_abs__power__minus__one ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_abs__power__minus__one-1, axiom, ( ~class_Int_Onumber__ring(_u12876) | ~class_Rings_Olinordered__idom(_u12876) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12876), hAPP(hAPP(c_Power_Opower__class_Opower(_u12876), hAPP(c_Int_Onumber__class_Onumber__of(_u12876), c_Int_OMin)), _u12877)) = c_Groups_Oone__class_Oone(_u12876)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_zero__less__zpower__abs__iff ( axiom ) converted to clauses:
% 39.89/40.09 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), _u12880)), _u12882))) | ( _u12880 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u12882 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.09 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), _u12881)), _u12883))) | ( _u12881 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 39.89/40.09 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), _u12881)), _u12883))) | ( _u12883 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_power2__abs ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_power2__abs-1, axiom, ( ~class_Rings_Olinordered__idom(_u12884) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u12884), hAPP(c_Groups_Oabs__class_Oabs(_u12884), _u12885)), 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(_u12884), _u12885), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_abs__power2 ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_abs__power2-1, axiom, ( ~class_Rings_Olinordered__idom(_u12886) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12886), hAPP(hAPP(c_Power_Opower__class_Opower(_u12886), _u12887), 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(_u12886), _u12887), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_code__numeral_Osimps_I4_J ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_code__numeral_Osimps_I4_J-1, axiom, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(_u12888, _u12889, _u12890, c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = _u12889) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_divmod__int__pdivmod ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_divmod__int__pdivmod-1, axiom, ( ( _u12893 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u12893, _u12895) = 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))) )).
% 39.89/40.09 cnf(fact_divmod__int__pdivmod-2, axiom, ( ( _u12894 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u12896 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u12894, _u12896) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12894)) )).
% 39.89/40.09 cnf(fact_divmod__int__pdivmod-3, axiom, ( ( _u12894 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u12896 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u12894, _u12896) = 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, _u12896))), 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)), _u12896)), hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12894))), hAPP(hAPP(c_fconj, hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u12896), c_Groups_Ozero__class_Ozero(tc_Int_Oint))), hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u12894), c_Groups_Ozero__class_Ozero(tc_Int_Oint))))), c_Divides_Opdivmod(_u12894, _u12896)), 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), _u12896))))), c_Divides_Opdivmod(_u12894, _u12896))))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_Nitpick_Oint__gcd__def ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_Nitpick_Oint__gcd__def-1, axiom, ( ( hAPP(hAPP(c_Nitpick_Oint__gcd, _u12897), _u12898) = 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), _u12897)), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u12898))))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_divmod__int__code ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_divmod__int__code-1, axiom, ( ( _u12901 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u12901, _u12903) = 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))) )).
% 39.89/40.09 cnf(fact_divmod__int__code-2, axiom, ( ( _u12902 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u12904 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u12902, _u12904) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12902)) )).
% 39.89/40.09 cnf(fact_divmod__int__code-3, axiom, ( ( _u12902 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u12904 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u12902, _u12904) = 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, _u12904))), 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, _u12902)), c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u12904))), c_Divides_Opdivmod(_u12902, _u12904)), 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), _u12904))))), c_Divides_Opdivmod(_u12902, _u12904))))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_apsnd__conv ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_apsnd__conv-1, axiom, ( ( hAPP(c_Product__Type_Oapsnd(_u12905, _u12906, _u12907, _u12908), hAPP(hAPP(c_Product__Type_OPair(_u12907, _u12905), _u12909), _u12910)) = hAPP(hAPP(c_Product__Type_OPair(_u12907, _u12906), _u12909), hAPP(_u12908, _u12910))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_apsnd__compose ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_apsnd__compose-1, axiom, ( ( hAPP(c_Product__Type_Oapsnd(_u12911, _u12912, _u12913, _u12914), hAPP(c_Product__Type_Oapsnd(_u12915, _u12911, _u12913, _u12916), _u12917)) = hAPP(c_Product__Type_Oapsnd(_u12915, _u12912, _u12913, hAPP(c_Fun_Ocomp(_u12911, _u12912, _u12915, _u12914), _u12916)), _u12917)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_fst__apsnd ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_fst__apsnd-1, axiom, ( ( hAPP(c_Product__Type_Ofst(_u12918, _u12919), hAPP(c_Product__Type_Oapsnd(_u12920, _u12919, _u12918, _u12921), _u12922)) = hAPP(c_Product__Type_Ofst(_u12918, _u12920), _u12922)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_snd__apsnd ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_snd__apsnd-1, axiom, ( ( hAPP(c_Product__Type_Osnd(_u12923, _u12924), hAPP(c_Product__Type_Oapsnd(_u12925, _u12924, _u12923, _u12926), _u12927)) = hAPP(_u12926, hAPP(c_Product__Type_Osnd(_u12923, _u12925), _u12927))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_apsnd__eq__conv ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_apsnd__eq__conv-1, axiom, ( ( hAPP(c_Product__Type_Oapsnd(_u12934, _u12936, _u12938, _u12940), _u12942) != hAPP(c_Product__Type_Oapsnd(_u12934, _u12936, _u12938, _u12944), _u12942)) | ( hAPP(_u12940, hAPP(c_Product__Type_Osnd(_u12938, _u12934), _u12942)) = hAPP(_u12944, hAPP(c_Product__Type_Osnd(_u12938, _u12934), _u12942))) )).
% 39.89/40.09 cnf(fact_apsnd__eq__conv-2, axiom, ( ( hAPP(_u12941, hAPP(c_Product__Type_Osnd(_u12939, _u12935), _u12943)) != hAPP(_u12945, hAPP(c_Product__Type_Osnd(_u12939, _u12935), _u12943))) | ( hAPP(c_Product__Type_Oapsnd(_u12935, _u12937, _u12939, _u12941), _u12943) = hAPP(c_Product__Type_Oapsnd(_u12935, _u12937, _u12939, _u12945), _u12943)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_negateSnd__def ( axiom ) converted to clauses:
% 39.89/40.09 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))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_nat__gcd_Osimps ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_nat__gcd_Osimps-1, axiom, ( ( _u12948 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u12950, _u12948) = _u12950) )).
% 39.89/40.09 cnf(fact_nat__gcd_Osimps-2, axiom, ( ( _u12949 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u12951, _u12949) = c_Nitpick_Onat__gcd(_u12949, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u12951, _u12949))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_pdivmod__def ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_pdivmod__def-1, axiom, ( ( c_Divides_Opdivmod(_u12952, _u12953) = 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), _u12952)), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u12953))), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u12952), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u12953)))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_pdivmod__posDivAlg ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_pdivmod__posDivAlg-1, axiom, ( ( _u12956 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Opdivmod(_u12958, _u12956) = 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), _u12958))) )).
% 39.89/40.09 cnf(fact_pdivmod__posDivAlg-2, axiom, ( ( _u12957 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Opdivmod(_u12959, _u12957) = c_Divides_OposDivAlg(hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u12959), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u12957))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_nat__gcd_Opsimps ( axiom ) converted to clauses:
% 39.89/40.09 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), _u12960), _u12961))) | ( _u12961 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u12960, _u12961) = _u12960) )).
% 39.89/40.09 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), _u12960), _u12961))) | ( _u12961 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u12960, _u12961) = c_Nitpick_Onat__gcd(_u12961, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u12960, _u12961))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_Nitpick_Onat__lcm__def ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_Nitpick_Onat__lcm__def-1, axiom, ( ( c_Nitpick_Onat__lcm(_u12962, _u12963) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u12962), _u12963)), c_Nitpick_Onat__gcd(_u12962, _u12963))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_Nitpick_Oint__lcm__def ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_Nitpick_Oint__lcm__def-1, axiom, ( ( c_Nitpick_Oint__lcm(_u12964, _u12965) = 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), _u12964)), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u12965))))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_nat__gcd_Opinduct ( axiom ) converted to clauses:
% 39.89/40.09 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), _u12968), _u12969))) | hBOOL(hAPP(hAPP(_u12970, _u12968), _u12969)) | 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), skolem280(_u12970, _u12969, _u12968)), skolem281(_u12970, _u12969, _u12968)))) )).
% 39.89/40.09 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), _u12968), _u12969))) | hBOOL(hAPP(hAPP(_u12970, _u12968), _u12969)) | ( skolem281(_u12970, _u12969, _u12968) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(_u12970, skolem281(_u12970, _u12969, _u12968)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, skolem280(_u12970, _u12969, _u12968), skolem281(_u12970, _u12969, _u12968)))) )).
% 39.89/40.09 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), _u12968), _u12969))) | hBOOL(hAPP(hAPP(_u12970, _u12968), _u12969)) | ~hBOOL(hAPP(hAPP(_u12970, skolem280(_u12970, _u12969, _u12968)), skolem281(_u12970, _u12969, _u12968))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_apfst__apsnd ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_apfst__apsnd-1, axiom, ( ( hAPP(c_Product__Type_Oapfst(_u12971, _u12972, _u12973, _u12974), hAPP(c_Product__Type_Oapsnd(_u12975, _u12973, _u12971, _u12976), _u12977)) = hAPP(hAPP(c_Product__Type_OPair(_u12972, _u12973), hAPP(_u12974, hAPP(c_Product__Type_Ofst(_u12971, _u12975), _u12977))), hAPP(_u12976, hAPP(c_Product__Type_Osnd(_u12971, _u12975), _u12977)))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_apsnd__apfst ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_apsnd__apfst-1, axiom, ( ( hAPP(c_Product__Type_Oapsnd(_u12978, _u12979, _u12980, _u12981), hAPP(c_Product__Type_Oapfst(_u12982, _u12980, _u12978, _u12983), _u12984)) = hAPP(hAPP(c_Product__Type_OPair(_u12980, _u12979), hAPP(_u12983, hAPP(c_Product__Type_Ofst(_u12982, _u12978), _u12984))), hAPP(_u12981, hAPP(c_Product__Type_Osnd(_u12982, _u12978), _u12984)))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_apfst__conv ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_apfst__conv-1, axiom, ( ( hAPP(c_Product__Type_Oapfst(_u12985, _u12986, _u12987, _u12988), hAPP(hAPP(c_Product__Type_OPair(_u12985, _u12987), _u12989), _u12990)) = hAPP(hAPP(c_Product__Type_OPair(_u12986, _u12987), hAPP(_u12988, _u12989)), _u12990)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_snd__apfst ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_snd__apfst-1, axiom, ( ( hAPP(c_Product__Type_Osnd(_u12991, _u12992), hAPP(c_Product__Type_Oapfst(_u12993, _u12991, _u12992, _u12994), _u12995)) = hAPP(c_Product__Type_Osnd(_u12993, _u12992), _u12995)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_fst__apfst ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_fst__apfst-1, axiom, ( ( hAPP(c_Product__Type_Ofst(_u12996, _u12997), hAPP(c_Product__Type_Oapfst(_u12998, _u12996, _u12997, _u12999), _u13000)) = hAPP(_u12999, hAPP(c_Product__Type_Ofst(_u12998, _u12997), _u13000))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_apfst__eq__conv ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_apfst__eq__conv-1, axiom, ( ( hAPP(c_Product__Type_Oapfst(_u13007, _u13009, _u13011, _u13013), _u13015) != hAPP(c_Product__Type_Oapfst(_u13007, _u13009, _u13011, _u13017), _u13015)) | ( hAPP(_u13013, hAPP(c_Product__Type_Ofst(_u13007, _u13011), _u13015)) = hAPP(_u13017, hAPP(c_Product__Type_Ofst(_u13007, _u13011), _u13015))) )).
% 39.89/40.09 cnf(fact_apfst__eq__conv-2, axiom, ( ( hAPP(_u13014, hAPP(c_Product__Type_Ofst(_u13008, _u13012), _u13016)) != hAPP(_u13018, hAPP(c_Product__Type_Ofst(_u13008, _u13012), _u13016))) | ( hAPP(c_Product__Type_Oapfst(_u13008, _u13010, _u13012, _u13014), _u13016) = hAPP(c_Product__Type_Oapfst(_u13008, _u13010, _u13012, _u13018), _u13016)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_apfst__compose ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_apfst__compose-1, axiom, ( ( hAPP(c_Product__Type_Oapfst(_u13019, _u13020, _u13021, _u13022), hAPP(c_Product__Type_Oapfst(_u13023, _u13019, _u13021, _u13024), _u13025)) = hAPP(c_Product__Type_Oapfst(_u13023, _u13020, _u13021, hAPP(c_Fun_Ocomp(_u13019, _u13020, _u13023, _u13022), _u13024)), _u13025)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_apsnd__apfst__commute ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_apsnd__apfst__commute-1, axiom, ( ( hAPP(c_Product__Type_Oapsnd(_u13026, _u13027, _u13028, _u13029), hAPP(c_Product__Type_Oapfst(_u13030, _u13028, _u13026, _u13031), _u13032)) = hAPP(c_Product__Type_Oapfst(_u13030, _u13028, _u13027, _u13031), hAPP(c_Product__Type_Oapsnd(_u13026, _u13027, _u13030, _u13029), _u13032))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_transfer__nat__int__sum__prod__cong_I1_J ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_transfer__nat__int__sum__prod__cong_I1_J-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u13034) | ~class_Groups_Ocomm__monoid__mult(_u13034) | ( _u13035 != _u13036) | ~c_Nat__Transfer_Onat__set(_u13036) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u13034), _u13037), _u13035) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u13034), _u13038), _u13036)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem282(_u13038, _u13037, _u13036, _u13035, _u13034))) )).
% 39.89/40.09 cnf(fact_transfer__nat__int__sum__prod__cong_I1_J-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u13034) | ~class_Groups_Ocomm__monoid__mult(_u13034) | ( _u13035 != _u13036) | ~c_Nat__Transfer_Onat__set(_u13036) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u13034), _u13037), _u13035) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u13034), _u13038), _u13036)) | ( hAPP(_u13037, skolem282(_u13038, _u13037, _u13036, _u13035, _u13034)) != hAPP(_u13038, skolem282(_u13038, _u13037, _u13036, _u13035, _u13034))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_accp__acc__eq ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_accp__acc__eq-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u13042, hAPP(hAPP(c_COMBC(_u13042, tc_fun(tc_prod(_u13042, _u13042), tc_HOL_Obool), tc_fun(_u13042, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13042, tc_fun(tc_fun(tc_prod(_u13042, _u13042), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13042, _u13042), tc_HOL_Obool), tc_fun(_u13042, tc_HOL_Obool)), _u13042), c_COMBC(_u13042, tc_fun(tc_prod(_u13042, _u13042), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13042, tc_prod(_u13042, _u13042)), tc_fun(_u13042, tc_fun(tc_fun(tc_prod(_u13042, _u13042), tc_HOL_Obool), tc_HOL_Obool)), _u13042), hAPP(c_COMBB(tc_prod(_u13042, _u13042), tc_fun(tc_fun(tc_prod(_u13042, _u13042), tc_HOL_Obool), tc_HOL_Obool), _u13042), c_member(tc_prod(_u13042, _u13042)))), c_Product__Type_OPair(_u13042, _u13042)))), _u13044)), _u13046)) | hBOOL(hAPP(hAPP(c_member(_u13042), _u13046), c_Wellfounded_Oacc(_u13042, _u13044))) )).
% 39.89/40.09 cnf(fact_accp__acc__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13043), _u13047), c_Wellfounded_Oacc(_u13043, _u13045))) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u13043, hAPP(hAPP(c_COMBC(_u13043, tc_fun(tc_prod(_u13043, _u13043), tc_HOL_Obool), tc_fun(_u13043, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13043, tc_fun(tc_fun(tc_prod(_u13043, _u13043), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13043, _u13043), tc_HOL_Obool), tc_fun(_u13043, tc_HOL_Obool)), _u13043), c_COMBC(_u13043, tc_fun(tc_prod(_u13043, _u13043), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13043, tc_prod(_u13043, _u13043)), tc_fun(_u13043, tc_fun(tc_fun(tc_prod(_u13043, _u13043), tc_HOL_Obool), tc_HOL_Obool)), _u13043), hAPP(c_COMBB(tc_prod(_u13043, _u13043), tc_fun(tc_fun(tc_prod(_u13043, _u13043), tc_HOL_Obool), tc_HOL_Obool), _u13043), c_member(tc_prod(_u13043, _u13043)))), c_Product__Type_OPair(_u13043, _u13043)))), _u13045)), _u13047)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_rel__comp__def ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_rel__comp__def-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13048, _u13049, _u13050), _u13051), _u13052) = hAPP(c_Set_OCollect(tc_prod(_u13048, _u13050)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13048, _u13050, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u13050, tc_fun(_u13049, tc_HOL_Obool)), tc_fun(_u13050, tc_HOL_Obool), _u13048), hAPP(c_COMBB(tc_fun(_u13049, tc_HOL_Obool), tc_HOL_Obool, _u13050), c_HOL_OEx(_u13049))), hAPP(hAPP(c_COMBC(_u13048, tc_fun(_u13050, tc_fun(_u13049, tc_HOL_Obool)), tc_fun(_u13050, tc_fun(_u13049, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u13049, tc_HOL_Obool), tc_fun(_u13049, tc_HOL_Obool)), tc_fun(tc_fun(_u13050, tc_fun(_u13049, tc_HOL_Obool)), tc_fun(_u13050, tc_fun(_u13049, tc_HOL_Obool))), _u13048), c_COMBB(tc_fun(_u13049, tc_HOL_Obool), tc_fun(_u13049, tc_HOL_Obool), _u13050)), hAPP(hAPP(c_COMBB(tc_fun(_u13049, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u13049, tc_HOL_Obool), tc_fun(_u13049, tc_HOL_Obool)), _u13048), c_COMBS(_u13049, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13049, tc_HOL_Obool), tc_fun(_u13049, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u13048), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13049), c_fconj)), hAPP(hAPP(c_COMBC(_u13048, tc_fun(tc_prod(_u13048, _u13049), tc_HOL_Obool), tc_fun(_u13049, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13049, tc_fun(tc_fun(tc_prod(_u13048, _u13049), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13048, _u13049), tc_HOL_Obool), tc_fun(_u13049, tc_HOL_Obool)), _u13048), c_COMBC(_u13049, tc_fun(tc_prod(_u13048, _u13049), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13049, tc_prod(_u13048, _u13049)), tc_fun(_u13049, tc_fun(tc_fun(tc_prod(_u13048, _u13049), tc_HOL_Obool), tc_HOL_Obool)), _u13048), hAPP(c_COMBB(tc_prod(_u13048, _u13049), tc_fun(tc_fun(tc_prod(_u13048, _u13049), tc_HOL_Obool), tc_HOL_Obool), _u13049), c_member(tc_prod(_u13048, _u13049)))), c_Product__Type_OPair(_u13048, _u13049)))), _u13051))))), hAPP(hAPP(c_COMBC(_u13050, tc_fun(tc_prod(_u13049, _u13050), tc_HOL_Obool), tc_fun(_u13049, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13049, tc_fun(tc_fun(tc_prod(_u13049, _u13050), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13049, _u13050), tc_HOL_Obool), tc_fun(_u13049, tc_HOL_Obool)), _u13050), c_COMBC(_u13049, tc_fun(tc_prod(_u13049, _u13050), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13049, tc_prod(_u13049, _u13050)), tc_fun(_u13049, tc_fun(tc_fun(tc_prod(_u13049, _u13050), tc_HOL_Obool), tc_HOL_Obool)), _u13050), hAPP(c_COMBB(tc_prod(_u13049, _u13050), tc_fun(tc_fun(tc_prod(_u13049, _u13050), tc_HOL_Obool), tc_HOL_Obool), _u13049), c_member(tc_prod(_u13049, _u13050)))), hAPP(c_COMBC(_u13049, _u13050, tc_prod(_u13049, _u13050)), c_Product__Type_OPair(_u13049, _u13050))))), _u13052)))))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_rel__compI ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_rel__compI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13053, _u13054)), hAPP(hAPP(c_Product__Type_OPair(_u13053, _u13054), _u13055), _u13056)), _u13057)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13054, _u13058)), hAPP(hAPP(c_Product__Type_OPair(_u13054, _u13058), _u13056), _u13059)), _u13060)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13053, _u13058)), hAPP(hAPP(c_Product__Type_OPair(_u13053, _u13058), _u13055), _u13059)), hAPP(hAPP(c_Relation_Orel__comp(_u13053, _u13054, _u13058), _u13057), _u13060))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_rel__comp__UNION__distrib ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_rel__comp__UNION__distrib-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13061, _u13062, _u13063), _u13064), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13065, tc_fun(tc_prod(_u13062, _u13063), tc_HOL_Obool)), _u13066), _u13067)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13065, tc_fun(tc_prod(_u13061, _u13063), tc_HOL_Obool)), _u13066), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u13062, _u13063), tc_HOL_Obool), tc_fun(tc_prod(_u13061, _u13063), tc_HOL_Obool), _u13065), hAPP(c_Relation_Orel__comp(_u13061, _u13062, _u13063), _u13064)), _u13067))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_rel__comp__UNION__distrib2 ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_rel__comp__UNION__distrib2-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13068, _u13069, _u13070), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13071, tc_fun(tc_prod(_u13068, _u13069), tc_HOL_Obool)), _u13072), _u13073)), _u13074) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13071, tc_fun(tc_prod(_u13068, _u13070), tc_HOL_Obool)), _u13072), hAPP(hAPP(c_COMBC(_u13071, tc_fun(tc_prod(_u13069, _u13070), tc_HOL_Obool), tc_fun(tc_prod(_u13068, _u13070), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u13068, _u13069), tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u13069, _u13070), tc_HOL_Obool), tc_fun(tc_prod(_u13068, _u13070), tc_HOL_Obool)), _u13071), c_Relation_Orel__comp(_u13068, _u13069, _u13070)), _u13073)), _u13074))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_rel__comp__mono ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_rel__comp__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13075, _u13076), tc_HOL_Obool)), _u13077), _u13078)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13076, _u13079), tc_HOL_Obool)), _u13080), _u13081)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13075, _u13079), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13075, _u13076, _u13079), _u13077), _u13080)), hAPP(hAPP(c_Relation_Orel__comp(_u13075, _u13076, _u13079), _u13078), _u13081))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_O__assoc ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_O__assoc-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13082, _u13083, _u13084), hAPP(hAPP(c_Relation_Orel__comp(_u13082, _u13085, _u13083), _u13086), _u13087)), _u13088) = hAPP(hAPP(c_Relation_Orel__comp(_u13082, _u13085, _u13084), _u13086), hAPP(hAPP(c_Relation_Orel__comp(_u13085, _u13083, _u13084), _u13087), _u13088))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_rel__comp__distrib ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_rel__comp__distrib-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13089, _u13090, _u13091), _u13092), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13090, _u13091), tc_HOL_Obool)), _u13093), _u13094)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13089, _u13091), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13089, _u13090, _u13091), _u13092), _u13093)), hAPP(hAPP(c_Relation_Orel__comp(_u13089, _u13090, _u13091), _u13092), _u13094))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_rel__comp__distrib2 ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_rel__comp__distrib2-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13095, _u13096, _u13097), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13095, _u13096), tc_HOL_Obool)), _u13098), _u13099)), _u13100) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13095, _u13097), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13095, _u13096, _u13097), _u13098), _u13100)), hAPP(hAPP(c_Relation_Orel__comp(_u13095, _u13096, _u13097), _u13099), _u13100))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_rel__comp__empty2 ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_rel__comp__empty2-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13101, _u13102, _u13103), _u13104), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13102, _u13103), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13101, _u13103), tc_HOL_Obool))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_rel__comp__empty1 ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_rel__comp__empty1-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13105, _u13106, _u13107), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13105, _u13106), tc_HOL_Obool))), _u13108) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13105, _u13107), tc_HOL_Obool))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_union__comp__emptyL ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_union__comp__emptyL-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13109, _u13109, _u13109), _u13110), _u13111) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13109, _u13109), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u13109, _u13109, _u13109), _u13112), _u13111) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13109, _u13109), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u13109, _u13109, _u13109), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13109, _u13109), tc_HOL_Obool)), _u13110), _u13112)), _u13111) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13109, _u13109), tc_HOL_Obool))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_union__comp__emptyR ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_union__comp__emptyR-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13113, _u13113, _u13113), _u13114), _u13115) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13113, _u13113), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u13113, _u13113, _u13113), _u13114), _u13116) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13113, _u13113), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u13113, _u13113, _u13113), _u13114), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13113, _u13113), tc_HOL_Obool)), _u13115), _u13116)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13113, _u13113), tc_HOL_Obool))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_acc__subset ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_acc__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13117, _u13117), tc_HOL_Obool)), _u13118), _u13119)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13117, tc_HOL_Obool)), c_Wellfounded_Oacc(_u13117, _u13119)), c_Wellfounded_Oacc(_u13117, _u13118))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_acc_Osimps ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_acc_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13125), _u13127), c_Wellfounded_Oacc(_u13125, _u13129))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13125, _u13125)), hAPP(hAPP(c_Product__Type_OPair(_u13125, _u13125), _u13120), _u13127)), _u13129)) | hBOOL(hAPP(hAPP(c_member(_u13125), _u13120), c_Wellfounded_Oacc(_u13125, _u13129))) )).
% 39.89/40.09 cnf(fact_acc_Osimps-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u13126), _u13128), c_Wellfounded_Oacc(_u13126, _u13130))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13126, _u13126)), hAPP(hAPP(c_Product__Type_OPair(_u13126, _u13126), skolem283(_u13130, _u13128, _u13126)), _u13128)), _u13130)) )).
% 39.89/40.09 cnf(fact_acc_Osimps-3, axiom, ( hBOOL(hAPP(hAPP(c_member(_u13126), _u13128), c_Wellfounded_Oacc(_u13126, _u13130))) | ~hBOOL(hAPP(hAPP(c_member(_u13126), skolem283(_u13130, _u13128, _u13126)), c_Wellfounded_Oacc(_u13126, _u13130))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_acc__downward ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_acc__downward-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13131), _u13132), c_Wellfounded_Oacc(_u13131, _u13133))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13131, _u13131)), hAPP(hAPP(c_Product__Type_OPair(_u13131, _u13131), _u13134), _u13132)), _u13133)) | hBOOL(hAPP(hAPP(c_member(_u13131), _u13134), c_Wellfounded_Oacc(_u13131, _u13133))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_max__ext__compat ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_max__ext__compat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13135, _u13135), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13135, _u13135, _u13135), _u13136), _u13137)), _u13136)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_fun(_u13135, tc_HOL_Obool), tc_fun(_u13135, tc_HOL_Obool)), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(tc_fun(_u13135, tc_HOL_Obool), tc_fun(_u13135, tc_HOL_Obool), tc_fun(_u13135, tc_HOL_Obool)), c_Wellfounded_Omax__ext(_u13135, _u13136)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(_u13135, tc_HOL_Obool), tc_fun(_u13135, tc_HOL_Obool)), tc_HOL_Obool)), c_Wellfounded_Omax__ext(_u13135, _u13137)), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(_u13135, tc_HOL_Obool), tc_fun(_u13135, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u13135, tc_HOL_Obool), tc_fun(_u13135, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u13135, tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(_u13135, tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(_u13135, tc_HOL_Obool), tc_fun(_u13135, tc_HOL_Obool)), tc_HOL_Obool)))))), c_Wellfounded_Omax__ext(_u13135, _u13136))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_min__ext__compat ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_min__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_Omin__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_Omin__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_Omin__ext(_u13138, _u13139))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_pred__comp__rel__comp__eq ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_pred__comp__rel__comp__eq-1, axiom, ( ~c_Predicate_Opred__comp(_u13148, _u13150, _u13152, 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)))), _u13154), hAPP(hAPP(c_COMBC(_u13150, tc_fun(tc_prod(_u13150, _u13152), tc_HOL_Obool), tc_fun(_u13152, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13152, tc_fun(tc_fun(tc_prod(_u13150, _u13152), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13150, _u13152), tc_HOL_Obool), tc_fun(_u13152, tc_HOL_Obool)), _u13150), c_COMBC(_u13152, tc_fun(tc_prod(_u13150, _u13152), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13152, tc_prod(_u13150, _u13152)), tc_fun(_u13152, tc_fun(tc_fun(tc_prod(_u13150, _u13152), tc_HOL_Obool), tc_HOL_Obool)), _u13150), hAPP(c_COMBB(tc_prod(_u13150, _u13152), tc_fun(tc_fun(tc_prod(_u13150, _u13152), tc_HOL_Obool), tc_HOL_Obool), _u13152), c_member(tc_prod(_u13150, _u13152)))), c_Product__Type_OPair(_u13150, _u13152)))), _u13156), _u13158, _u13160) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13148, _u13152)), hAPP(hAPP(c_Product__Type_OPair(_u13148, _u13152), _u13158), _u13160)), hAPP(hAPP(c_Relation_Orel__comp(_u13148, _u13150, _u13152), _u13154), _u13156))) )).
% 39.89/40.09 cnf(fact_pred__comp__rel__comp__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13149, _u13153)), hAPP(hAPP(c_Product__Type_OPair(_u13149, _u13153), _u13159), _u13161)), hAPP(hAPP(c_Relation_Orel__comp(_u13149, _u13151, _u13153), _u13155), _u13157))) | c_Predicate_Opred__comp(_u13149, _u13151, _u13153, 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)))), _u13155), hAPP(hAPP(c_COMBC(_u13151, tc_fun(tc_prod(_u13151, _u13153), tc_HOL_Obool), tc_fun(_u13153, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13153, tc_fun(tc_fun(tc_prod(_u13151, _u13153), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13151, _u13153), tc_HOL_Obool), tc_fun(_u13153, tc_HOL_Obool)), _u13151), c_COMBC(_u13153, tc_fun(tc_prod(_u13151, _u13153), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13153, tc_prod(_u13151, _u13153)), tc_fun(_u13153, tc_fun(tc_fun(tc_prod(_u13151, _u13153), tc_HOL_Obool), tc_HOL_Obool)), _u13151), hAPP(c_COMBB(tc_prod(_u13151, _u13153), tc_fun(tc_fun(tc_prod(_u13151, _u13153), tc_HOL_Obool), tc_HOL_Obool), _u13153), c_member(tc_prod(_u13151, _u13153)))), c_Product__Type_OPair(_u13151, _u13153)))), _u13157), _u13159, _u13161) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_reduction__pairI ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_reduction__pairI-1, axiom, ( ~c_Wellfounded_Owf(_u13162, _u13163) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13162, _u13162), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13162, _u13162, _u13162), _u13163), _u13164)), _u13163)) | c_FunDef_Oreduction__pair(_u13162, hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(_u13162, _u13162), tc_HOL_Obool), tc_fun(tc_prod(_u13162, _u13162), tc_HOL_Obool)), _u13163), _u13164)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_max__extp_Oequations ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_max__extp_Oequations-1, axiom, ( ~c_Wellfounded_Omax__extp(_u13173, _u13175, _u13177, _u13179) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13173), _u13177)) )).
% 39.89/40.09 cnf(fact_max__extp_Oequations-2, axiom, ( ~c_Wellfounded_Omax__extp(_u13173, _u13175, _u13177, _u13179) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13173), _u13179)) )).
% 39.89/40.09 cnf(fact_max__extp_Oequations-3, axiom, ( ~c_Wellfounded_Omax__extp(_u13173, _u13175, _u13177, _u13179) | ( _u13179 != c_Orderings_Obot__class_Obot(tc_fun(_u13173, tc_HOL_Obool))) )).
% 39.89/40.09 cnf(fact_max__extp_Oequations-4, axiom, ( ~c_Wellfounded_Omax__extp(_u13173, _u13175, _u13177, _u13179) | ~hBOOL(hAPP(hAPP(c_member(_u13173), _u13166), _u13177)) | hBOOL(hAPP(hAPP(c_member(_u13173), skolem284(_u13179, _u13177, _u13175, _u13173, _u13166)), _u13179)) )).
% 39.89/40.09 cnf(fact_max__extp_Oequations-5, axiom, ( ~c_Wellfounded_Omax__extp(_u13173, _u13175, _u13177, _u13179) | ~hBOOL(hAPP(hAPP(c_member(_u13173), _u13166), _u13177)) | hBOOL(hAPP(hAPP(_u13175, _u13166), skolem284(_u13179, _u13177, _u13175, _u13173, _u13166))) )).
% 39.89/40.09 cnf(fact_max__extp_Oequations-6, axiom, ( c_Wellfounded_Omax__extp(_u13174, _u13176, _u13178, _u13180) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13174), _u13178)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13174), _u13180)) | ( _u13180 = c_Orderings_Obot__class_Obot(tc_fun(_u13174, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u13174), skolem285(_u13180, _u13178, _u13176, _u13174)), _u13178)) )).
% 39.89/40.09 cnf(fact_max__extp_Oequations-7, axiom, ( c_Wellfounded_Omax__extp(_u13174, _u13176, _u13178, _u13180) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13174), _u13178)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13174), _u13180)) | ( _u13180 = c_Orderings_Obot__class_Obot(tc_fun(_u13174, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u13174), _u13167), _u13180)) | ~hBOOL(hAPP(hAPP(_u13176, skolem285(_u13180, _u13178, _u13176, _u13174)), _u13167)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_wf__less__than ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_wf__less__than-1, axiom, ( c_Wellfounded_Owf(tc_Nat_Onat, c_Wellfounded_Oless__than) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_pred__comp_Ointros ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_pred__comp_Ointros-1, axiom, ( ~hBOOL(hAPP(hAPP(_u13181, _u13182), _u13183)) | ~hBOOL(hAPP(hAPP(_u13184, _u13183), _u13185)) | c_Predicate_Opred__comp(_u13186, _u13187, _u13188, _u13181, _u13184, _u13182, _u13185) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_wf__empty ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_wf__empty-1, axiom, ( c_Wellfounded_Owf(_u13189, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13189, _u13189), tc_HOL_Obool))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_wf__inv__image ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_wf__inv__image-1, axiom, ( ~c_Wellfounded_Owf(_u13190, _u13191) | c_Wellfounded_Owf(_u13192, hAPP(hAPP(c_Relation_Oinv__image(_u13190, _u13192), _u13191), _u13193)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_wf__lex__prod ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_wf__lex__prod-1, axiom, ( ~c_Wellfounded_Owf(_u13194, _u13195) | ~c_Wellfounded_Owf(_u13196, _u13197) | c_Wellfounded_Owf(tc_prod(_u13194, _u13196), c_Wellfounded_Olex__prod(_u13194, _u13196, _u13195, _u13197)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_wf__measure ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_wf__measure-1, axiom, ( c_Wellfounded_Owf(_u13198, hAPP(c_Wellfounded_Omeasure(_u13198), _u13199)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_wf__comp__self ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_wf__comp__self-1, axiom, ( ~c_Wellfounded_Owf(_u13202, _u13204) | c_Wellfounded_Owf(_u13202, hAPP(hAPP(c_Relation_Orel__comp(_u13202, _u13202, _u13202), _u13204), _u13204)) )).
% 39.89/40.09 cnf(fact_wf__comp__self-2, axiom, ( ~c_Wellfounded_Owf(_u13203, hAPP(hAPP(c_Relation_Orel__comp(_u13203, _u13203, _u13203), _u13205), _u13205)) | c_Wellfounded_Owf(_u13203, _u13205) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_min__ext__wf ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_min__ext__wf-1, axiom, ( ~c_Wellfounded_Owf(_u13206, _u13207) | c_Wellfounded_Owf(tc_fun(_u13206, tc_HOL_Obool), c_Wellfounded_Omin__ext(_u13206, _u13207)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_wf__finite__psubset ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_wf__finite__psubset-1, axiom, ( c_Wellfounded_Owf(tc_fun(_u13208, tc_HOL_Obool), c_Wellfounded_Ofinite__psubset(_u13208)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_wf__Int1 ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_wf__Int1-1, axiom, ( ~c_Wellfounded_Owf(_u13209, _u13210) | c_Wellfounded_Owf(_u13209, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13209, _u13209), tc_HOL_Obool)), _u13210), _u13211)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_wf__Int2 ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_wf__Int2-1, axiom, ( ~c_Wellfounded_Owf(_u13212, _u13213) | c_Wellfounded_Owf(_u13212, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13212, _u13212), tc_HOL_Obool)), _u13214), _u13213)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_wf__subset ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_wf__subset-1, axiom, ( ~c_Wellfounded_Owf(_u13215, _u13216) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13215, _u13215), tc_HOL_Obool)), _u13217), _u13216)) | c_Wellfounded_Owf(_u13215, _u13217) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_pred__comp_Oequations ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_pred__comp_Oequations-1, axiom, ( ~c_Predicate_Opred__comp(_u13227, _u13229, _u13231, _u13233, _u13235, _u13237, _u13239) | hBOOL(hAPP(hAPP(_u13233, _u13237), skolem286(_u13239, _u13237, _u13235, _u13233))) )).
% 39.89/40.09 cnf(fact_pred__comp_Oequations-2, axiom, ( ~c_Predicate_Opred__comp(_u13227, _u13229, _u13231, _u13233, _u13235, _u13237, _u13239) | hBOOL(hAPP(hAPP(_u13235, skolem286(_u13239, _u13237, _u13235, _u13233)), _u13239)) )).
% 39.89/40.09 cnf(fact_pred__comp_Oequations-3, axiom, ( ~hBOOL(hAPP(hAPP(_u13234, _u13238), _u13219)) | ~hBOOL(hAPP(hAPP(_u13236, _u13219), _u13240)) | c_Predicate_Opred__comp(_u13228, _u13230, _u13232, _u13234, _u13236, _u13238, _u13240) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_wf__mlex ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_wf__mlex-1, axiom, ( ~c_Wellfounded_Owf(_u13241, _u13242) | c_Wellfounded_Owf(_u13241, c_Wellfounded_Omlex__prod(_u13241, _u13243, _u13242)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_wf__pair__less ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_wf__pair__less-1, axiom, ( c_Wellfounded_Owf(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_FunDef_Opair__less) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_max__ext__wf ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_max__ext__wf-1, axiom, ( ~c_Wellfounded_Owf(_u13244, _u13245) | c_Wellfounded_Owf(tc_fun(_u13244, tc_HOL_Obool), c_Wellfounded_Omax__ext(_u13244, _u13245)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_wf__less ( axiom ) converted to clauses:
% 39.89/40.09 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)))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_wf__irrefl ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_wf__irrefl-1, axiom, ( ~c_Wellfounded_Owf(_u13246, _u13247) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13246, _u13246)), hAPP(hAPP(c_Product__Type_OPair(_u13246, _u13246), _u13248), _u13248)), _u13247)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_wf__asym ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_wf__asym-1, axiom, ( ~c_Wellfounded_Owf(_u13249, _u13250) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13249, _u13249)), hAPP(hAPP(c_Product__Type_OPair(_u13249, _u13249), _u13251), _u13252)), _u13250)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13249, _u13249)), hAPP(hAPP(c_Product__Type_OPair(_u13249, _u13249), _u13252), _u13251)), _u13250)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_wf__not__sym ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_wf__not__sym-1, axiom, ( ~c_Wellfounded_Owf(_u13253, _u13254) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13253, _u13253)), hAPP(hAPP(c_Product__Type_OPair(_u13253, _u13253), _u13255), _u13256)), _u13254)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13253, _u13253)), hAPP(hAPP(c_Product__Type_OPair(_u13253, _u13253), _u13256), _u13255)), _u13254)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_wf__not__refl ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_wf__not__refl-1, axiom, ( ~c_Wellfounded_Owf(_u13257, _u13258) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13257, _u13257)), hAPP(hAPP(c_Product__Type_OPair(_u13257, _u13257), _u13259), _u13259)), _u13258)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_wf__int__ge__less__than2 ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_wf__int__ge__less__than2-1, axiom, ( c_Wellfounded_Owf(tc_Int_Oint, c_Int_Oint__ge__less__than2(_u13260)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_wf__int__ge__less__than ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_wf__int__ge__less__than-1, axiom, ( c_Wellfounded_Owf(tc_Int_Oint, c_Int_Oint__ge__less__than(_u13261)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_wf__acc__iff ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_wf__acc__iff-1, axiom, ( ~c_Wellfounded_Owf(_u13266, _u13268) | hBOOL(hAPP(hAPP(c_member(_u13266), _u13262), c_Wellfounded_Oacc(_u13266, _u13268))) )).
% 39.89/40.09 cnf(fact_wf__acc__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13267), skolem287(_u13269, _u13267)), c_Wellfounded_Oacc(_u13267, _u13269))) | c_Wellfounded_Owf(_u13267, _u13269) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_acc__wfD ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_acc__wfD-1, axiom, ( ~c_Wellfounded_Owf(_u13270, _u13271) | hBOOL(hAPP(hAPP(c_member(_u13270), _u13272), c_Wellfounded_Oacc(_u13270, _u13271))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_wf__no__loop ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_wf__no__loop-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13273, _u13273, _u13273), _u13274), _u13274) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13273, _u13273), tc_HOL_Obool))) | c_Wellfounded_Owf(_u13273, _u13274) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_wf__union__merge ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_wf__union__merge-1, axiom, ( ~c_Wellfounded_Owf(_u13278, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13278, _u13278), tc_HOL_Obool)), _u13280), _u13282)) | c_Wellfounded_Owf(_u13278, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13278, _u13278), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13278, _u13278), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13278, _u13278, _u13278), _u13280), _u13280)), hAPP(hAPP(c_Relation_Orel__comp(_u13278, _u13278, _u13278), _u13282), _u13280))), _u13282)) )).
% 39.89/40.09 cnf(fact_wf__union__merge-2, axiom, ( ~c_Wellfounded_Owf(_u13279, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13279, _u13279), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13279, _u13279), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13279, _u13279, _u13279), _u13281), _u13281)), hAPP(hAPP(c_Relation_Orel__comp(_u13279, _u13279, _u13279), _u13283), _u13281))), _u13283)) | c_Wellfounded_Owf(_u13279, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13279, _u13279), tc_HOL_Obool)), _u13281), _u13283)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_wf__iff__no__infinite__down__chain ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_wf__iff__no__infinite__down__chain-1, axiom, ( ~c_Wellfounded_Owf(_u13290, _u13292) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13290, _u13290)), hAPP(hAPP(c_Product__Type_OPair(_u13290, _u13290), hAPP(_u13285, hAPP(c_Nat_OSuc, skolem288(_u13292, _u13290, _u13285)))), hAPP(_u13285, skolem288(_u13292, _u13290, _u13285)))), _u13292)) )).
% 39.89/40.09 cnf(fact_wf__iff__no__infinite__down__chain-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u13291, _u13291)), hAPP(hAPP(c_Product__Type_OPair(_u13291, _u13291), hAPP(skolem289(_u13293, _u13291), hAPP(c_Nat_OSuc, _u13286))), hAPP(skolem289(_u13293, _u13291), _u13286))), _u13293)) | c_Wellfounded_Owf(_u13291, _u13293) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_wfE__pf ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_wfE__pf-1, axiom, ( ~c_Wellfounded_Owf(_u13294, _u13295) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13294, tc_HOL_Obool)), _u13296), hAPP(c_Relation_OImage(_u13294, _u13294, _u13295), _u13296))) | ( _u13296 = c_Orderings_Obot__class_Obot(tc_fun(_u13294, tc_HOL_Obool))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_wf__union__compatible ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_wf__union__compatible-1, axiom, ( ~c_Wellfounded_Owf(_u13297, _u13298) | ~c_Wellfounded_Owf(_u13297, _u13299) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13297, _u13297), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13297, _u13297, _u13297), _u13298), _u13299)), _u13298)) | c_Wellfounded_Owf(_u13297, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13297, _u13297), tc_HOL_Obool)), _u13298), _u13299)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_wf ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_wf-1, axiom, ( ~class_Orderings_Owellorder(_u13300) | c_Wellfounded_Owf(_u13300, hAPP(c_Set_OCollect(tc_prod(_u13300, _u13300)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13300, _u13300, tc_HOL_Obool), c_Orderings_Oord__class_Oless(_u13300)))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_reduction__pair__def ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_reduction__pair__def-1, axiom, ( ~c_FunDef_Oreduction__pair(_u13303, _u13305) | c_Wellfounded_Owf(_u13303, hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u13303, _u13303), tc_HOL_Obool), tc_fun(tc_prod(_u13303, _u13303), tc_HOL_Obool)), _u13305)) )).
% 39.89/40.09 cnf(fact_reduction__pair__def-2, axiom, ( ~c_FunDef_Oreduction__pair(_u13303, _u13305) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13303, _u13303), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13303, _u13303, _u13303), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u13303, _u13303), tc_HOL_Obool), tc_fun(tc_prod(_u13303, _u13303), tc_HOL_Obool)), _u13305)), hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(_u13303, _u13303), tc_HOL_Obool), tc_fun(tc_prod(_u13303, _u13303), tc_HOL_Obool)), _u13305))), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u13303, _u13303), tc_HOL_Obool), tc_fun(tc_prod(_u13303, _u13303), tc_HOL_Obool)), _u13305))) )).
% 39.89/40.09 cnf(fact_reduction__pair__def-3, axiom, ( ~c_Wellfounded_Owf(_u13304, hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u13304, _u13304), tc_HOL_Obool), tc_fun(tc_prod(_u13304, _u13304), tc_HOL_Obool)), _u13306)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13304, _u13304), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13304, _u13304, _u13304), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u13304, _u13304), tc_HOL_Obool), tc_fun(tc_prod(_u13304, _u13304), tc_HOL_Obool)), _u13306)), hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(_u13304, _u13304), tc_HOL_Obool), tc_fun(tc_prod(_u13304, _u13304), tc_HOL_Obool)), _u13306))), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u13304, _u13304), tc_HOL_Obool), tc_fun(tc_prod(_u13304, _u13304), tc_HOL_Obool)), _u13306))) | c_FunDef_Oreduction__pair(_u13304, _u13306) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_reduction__pair__lemma ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_reduction__pair__lemma-1, axiom, ( ~c_FunDef_Oreduction__pair(_u13307, _u13308) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13307, _u13307), tc_HOL_Obool)), _u13309), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u13307, _u13307), tc_HOL_Obool), tc_fun(tc_prod(_u13307, _u13307), tc_HOL_Obool)), _u13308))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13307, _u13307), tc_HOL_Obool)), _u13310), hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(_u13307, _u13307), tc_HOL_Obool), tc_fun(tc_prod(_u13307, _u13307), tc_HOL_Obool)), _u13308))) | ~c_Wellfounded_Owf(_u13307, _u13310) | c_Wellfounded_Owf(_u13307, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13307, _u13307), tc_HOL_Obool)), _u13309), _u13310)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_wf__lenlex ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_wf__lenlex-1, axiom, ( ~c_Wellfounded_Owf(_u13311, _u13312) | c_Wellfounded_Owf(tc_List_Olist(_u13311), c_List_Olenlex(_u13311, _u13312)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_wf__if__measure ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_wf__if__measure-1, axiom, ( c_Wellfounded_Owf(_u13317, hAPP(c_Set_OCollect(tc_prod(_u13317, _u13317)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13317, _u13317, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u13317, tc_HOL_Obool), tc_fun(_u13317, tc_HOL_Obool), _u13317), hAPP(c_COMBS(_u13317, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13317), c_fconj), _u13314))), hAPP(hAPP(c_COMBC(_u13317, tc_fun(_u13317, _u13317), tc_fun(_u13317, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13317, tc_HOL_Obool), tc_fun(tc_fun(_u13317, _u13317), tc_fun(_u13317, tc_HOL_Obool)), _u13317), c_COMBB(_u13317, tc_HOL_Obool, _u13317)), c_fequal)), _u13316))))) | hBOOL(hAPP(_u13314, skolem290(_u13317, _u13316, _u13315, _u13314))) )).
% 39.89/40.09 cnf(fact_wf__if__measure-2, axiom, ( c_Wellfounded_Owf(_u13317, hAPP(c_Set_OCollect(tc_prod(_u13317, _u13317)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13317, _u13317, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u13317, tc_HOL_Obool), tc_fun(_u13317, tc_HOL_Obool), _u13317), hAPP(c_COMBS(_u13317, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13317), c_fconj), _u13314))), hAPP(hAPP(c_COMBC(_u13317, tc_fun(_u13317, _u13317), tc_fun(_u13317, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13317, tc_HOL_Obool), tc_fun(tc_fun(_u13317, _u13317), tc_fun(_u13317, tc_HOL_Obool)), _u13317), c_COMBB(_u13317, tc_HOL_Obool, _u13317)), c_fequal)), _u13316))))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u13315, hAPP(_u13316, skolem290(_u13317, _u13316, _u13315, _u13314)))), hAPP(_u13315, skolem290(_u13317, _u13316, _u13315, _u13314)))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_max__ext_Ointros ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_max__ext_Ointros-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13320), _u13321)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13320), _u13322)) | ( _u13322 = c_Orderings_Obot__class_Obot(tc_fun(_u13320, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u13320, tc_HOL_Obool), tc_fun(_u13320, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u13320, tc_HOL_Obool), tc_fun(_u13320, tc_HOL_Obool)), _u13321), _u13322)), c_Wellfounded_Omax__ext(_u13320, _u13323))) | hBOOL(hAPP(hAPP(c_member(_u13320), skolem291(_u13323, _u13322, _u13321, _u13320)), _u13321)) )).
% 39.89/40.09 cnf(fact_max__ext_Ointros-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13320), _u13321)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13320), _u13322)) | ( _u13322 = c_Orderings_Obot__class_Obot(tc_fun(_u13320, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u13320, tc_HOL_Obool), tc_fun(_u13320, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u13320, tc_HOL_Obool), tc_fun(_u13320, tc_HOL_Obool)), _u13321), _u13322)), c_Wellfounded_Omax__ext(_u13320, _u13323))) | ~hBOOL(hAPP(hAPP(c_member(_u13320), _u13318), _u13322)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13320, _u13320)), hAPP(hAPP(c_Product__Type_OPair(_u13320, _u13320), skolem291(_u13323, _u13322, _u13321, _u13320)), _u13318)), _u13323)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_pred__nat__def ( axiom ) converted to clauses:
% 39.89/40.09 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)))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_wf__lex ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_wf__lex-1, axiom, ( ~c_Wellfounded_Owf(_u13324, _u13325) | c_Wellfounded_Owf(tc_List_Olist(_u13324), c_List_Olex(_u13324, _u13325)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_wf__lexn ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_wf__lexn-1, axiom, ( ~c_Wellfounded_Owf(_u13326, _u13327) | c_Wellfounded_Owf(tc_List_Olist(_u13326), hAPP(c_List_Olexn(_u13326, _u13327), _u13328)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_lex__def ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_lex__def-1, axiom, ( ( c_List_Olex(_u13329, _u13330) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_prod(tc_List_Olist(_u13329), tc_List_Olist(_u13329)), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), c_List_Olexn(_u13329, _u13330))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_lexn_Osimps_I1_J ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_lexn_Osimps_I1_J-1, axiom, ( ( hAPP(c_List_Olexn(_u13331, _u13332), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_List_Olist(_u13331), tc_List_Olist(_u13331)), tc_HOL_Obool))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_wf__pred__nat ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_wf__pred__nat-1, axiom, ( c_Wellfounded_Owf(tc_Nat_Onat, c_Wellfounded_Opred__nat) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_wf__same__fst ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_wf__same__fst-1, axiom, ( c_Wellfounded_Owf(tc_prod(_u13337, _u13335), c_Recdef_Osame__fst(_u13337, _u13335, _u13334, _u13336)) | hBOOL(hAPP(_u13334, skolem292(_u13337, _u13336, _u13335, _u13334))) )).
% 39.89/40.09 cnf(fact_wf__same__fst-2, axiom, ( c_Wellfounded_Owf(tc_prod(_u13337, _u13335), c_Recdef_Osame__fst(_u13337, _u13335, _u13334, _u13336)) | ~c_Wellfounded_Owf(_u13335, hAPP(_u13336, skolem292(_u13337, _u13336, _u13335, _u13334))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_Nitpick_Ozero__frac__def ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_Nitpick_Ozero__frac__def-1, axiom, ( ( c_Nitpick_Ozero__frac(_u13338) = c_Nitpick_OAbs__Frac(_u13338, 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)))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_Range__Collect__split ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_Range__Collect__split-1, axiom, ( ( hAPP(c_Relation_ORange(_u13339, _u13340), hAPP(c_Set_OCollect(tc_prod(_u13339, _u13340)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13339, _u13340, tc_HOL_Obool), _u13341))) = hAPP(c_Set_OCollect(_u13340), hAPP(hAPP(c_COMBB(tc_fun(_u13339, tc_HOL_Obool), tc_HOL_Obool, _u13340), c_HOL_OEx(_u13339)), hAPP(c_COMBC(_u13339, _u13340, tc_HOL_Obool), _u13341)))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_RangeI ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_RangeI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13342, _u13343)), hAPP(hAPP(c_Product__Type_OPair(_u13342, _u13343), _u13344), _u13345)), _u13346)) | hBOOL(hAPP(hAPP(c_member(_u13343), _u13345), hAPP(c_Relation_ORange(_u13342, _u13343), _u13346))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_Range__Id__on ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_Range__Id__on-1, axiom, ( ( hAPP(c_Relation_ORange(_u13347, _u13347), c_Relation_OId__on(_u13347, _u13348)) = _u13348) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_Range__Diff__subset ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_Range__Diff__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13349, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13349, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u13350, _u13349), _u13351)), hAPP(c_Relation_ORange(_u13350, _u13349), _u13352))), hAPP(c_Relation_ORange(_u13350, _u13349), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u13350, _u13349), tc_HOL_Obool)), _u13351), _u13352)))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_Range__empty ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_Range__empty-1, axiom, ( ( hAPP(c_Relation_ORange(_u13353, _u13354), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13353, _u13354), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u13354, tc_HOL_Obool))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_Range__empty__iff ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_Range__empty__iff-1, axiom, ( ( hAPP(c_Relation_ORange(_u13358, _u13360), _u13362) != c_Orderings_Obot__class_Obot(tc_fun(_u13360, tc_HOL_Obool))) | ( _u13362 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13358, _u13360), tc_HOL_Obool))) )).
% 39.89/40.09 cnf(fact_Range__empty__iff-2, axiom, ( ( _u13363 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13359, _u13361), tc_HOL_Obool))) | ( hAPP(c_Relation_ORange(_u13359, _u13361), _u13363) = c_Orderings_Obot__class_Obot(tc_fun(_u13361, tc_HOL_Obool))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_Range__Un__eq ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_Range__Un__eq-1, axiom, ( ( hAPP(c_Relation_ORange(_u13364, _u13365), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13364, _u13365), tc_HOL_Obool)), _u13366), _u13367)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13365, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u13364, _u13365), _u13366)), hAPP(c_Relation_ORange(_u13364, _u13365), _u13367))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_finite__Range ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_finite__Range-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13368, _u13369)), _u13370)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13369), hAPP(c_Relation_ORange(_u13368, _u13369), _u13370))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_snd__eq__Range ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_snd__eq__Range-1, axiom, ( ( hAPP(c_Set_Oimage(tc_prod(_u13371, _u13372), _u13372, c_Product__Type_Osnd(_u13371, _u13372)), _u13373) = hAPP(c_Relation_ORange(_u13371, _u13372), _u13373)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_Range__iff ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_Range__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13380), _u13382), hAPP(c_Relation_ORange(_u13384, _u13380), _u13386))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13384, _u13380)), hAPP(hAPP(c_Product__Type_OPair(_u13384, _u13380), skolem293(_u13386, _u13384, _u13382, _u13380)), _u13382)), _u13386)) )).
% 39.89/40.09 cnf(fact_Range__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13385, _u13381)), hAPP(hAPP(c_Product__Type_OPair(_u13385, _u13381), _u13375), _u13383)), _u13387)) | hBOOL(hAPP(hAPP(c_member(_u13381), _u13383), hAPP(c_Relation_ORange(_u13385, _u13381), _u13387))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_Range__insert ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_Range__insert-1, axiom, ( ( hAPP(c_Relation_ORange(_u13388, _u13389), hAPP(hAPP(c_Set_Oinsert(tc_prod(_u13388, _u13389)), hAPP(hAPP(c_Product__Type_OPair(_u13388, _u13389), _u13390), _u13391)), _u13392)) = hAPP(hAPP(c_Set_Oinsert(_u13389), _u13391), hAPP(c_Relation_ORange(_u13388, _u13389), _u13392))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_Range__Int__subset ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_Range__Int__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13393, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u13394, _u13393), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13394, _u13393), tc_HOL_Obool)), _u13395), _u13396))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13393, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u13394, _u13393), _u13395)), hAPP(c_Relation_ORange(_u13394, _u13393), _u13396)))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_Nitpick_Oone__frac__def ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_Nitpick_Oone__frac__def-1, axiom, ( ( c_Nitpick_Oone__frac(_u13397) = c_Nitpick_OAbs__Frac(_u13397, 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)))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_Nitpick_Onumber__of__frac__def ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_Nitpick_Onumber__of__frac__def-1, axiom, ( ( c_Nitpick_Onumber__of__frac(_u13398, _u13399) = c_Nitpick_OAbs__Frac(_u13398, hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u13399), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_RangeP__Range__eq ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_RangeP__Range__eq-1, axiom, ( ~hBOOL(hAPP(c_Predicate_ORangeP(_u13404, _u13406, hAPP(hAPP(c_COMBC(_u13404, tc_fun(tc_prod(_u13404, _u13406), tc_HOL_Obool), tc_fun(_u13406, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13406, tc_fun(tc_fun(tc_prod(_u13404, _u13406), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13404, _u13406), tc_HOL_Obool), tc_fun(_u13406, tc_HOL_Obool)), _u13404), c_COMBC(_u13406, tc_fun(tc_prod(_u13404, _u13406), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13406, tc_prod(_u13404, _u13406)), tc_fun(_u13406, tc_fun(tc_fun(tc_prod(_u13404, _u13406), tc_HOL_Obool), tc_HOL_Obool)), _u13404), hAPP(c_COMBB(tc_prod(_u13404, _u13406), tc_fun(tc_fun(tc_prod(_u13404, _u13406), tc_HOL_Obool), tc_HOL_Obool), _u13406), c_member(tc_prod(_u13404, _u13406)))), c_Product__Type_OPair(_u13404, _u13406)))), _u13408)), _u13410)) | hBOOL(hAPP(hAPP(c_member(_u13406), _u13410), hAPP(c_Relation_ORange(_u13404, _u13406), _u13408))) )).
% 39.89/40.09 cnf(fact_RangeP__Range__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13407), _u13411), hAPP(c_Relation_ORange(_u13405, _u13407), _u13409))) | hBOOL(hAPP(c_Predicate_ORangeP(_u13405, _u13407, hAPP(hAPP(c_COMBC(_u13405, tc_fun(tc_prod(_u13405, _u13407), tc_HOL_Obool), tc_fun(_u13407, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13407, tc_fun(tc_fun(tc_prod(_u13405, _u13407), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13405, _u13407), tc_HOL_Obool), tc_fun(_u13407, tc_HOL_Obool)), _u13405), c_COMBC(_u13407, tc_fun(tc_prod(_u13405, _u13407), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13407, tc_prod(_u13405, _u13407)), tc_fun(_u13407, tc_fun(tc_fun(tc_prod(_u13405, _u13407), tc_HOL_Obool), tc_HOL_Obool)), _u13405), hAPP(c_COMBB(tc_prod(_u13405, _u13407), tc_fun(tc_fun(tc_prod(_u13405, _u13407), tc_HOL_Obool), tc_HOL_Obool), _u13407), c_member(tc_prod(_u13405, _u13407)))), c_Product__Type_OPair(_u13405, _u13407)))), _u13409)), _u13411)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_RangeP_Ointros ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_RangeP_Ointros-1, axiom, ( ~hBOOL(hAPP(hAPP(_u13412, _u13413), _u13414)) | hBOOL(hAPP(c_Predicate_ORangeP(_u13415, _u13416, _u13412), _u13414)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_RangeP_Oequations ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_RangeP_Oequations-1, axiom, ( hBOOL(hAPP(hAPP(_u13427, skolem294(_u13429, _u13427)), _u13429)) | ~hBOOL(hAPP(c_Predicate_ORangeP(_u13423, _u13425, _u13427), _u13429)) )).
% 39.89/40.09 cnf(fact_RangeP_Oequations-2, axiom, ( ~hBOOL(hAPP(hAPP(_u13428, _u13418), _u13430)) | hBOOL(hAPP(c_Predicate_ORangeP(_u13424, _u13426, _u13428), _u13430)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_Nitpick_Ofrac__def ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_Nitpick_Ofrac__def-1, axiom, ( ( hAPP(hAPP(c_Nitpick_Ofrac(_u13431), _u13432), _u13433) = c_Nitpick_OAbs__Frac(_u13431, c_Nitpick_Onorm__frac(_u13432, _u13433))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_RangeE ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_RangeE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13435), _u13436), hAPP(c_Relation_ORange(_u13437, _u13435), _u13438))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13437, _u13435)), hAPP(hAPP(c_Product__Type_OPair(_u13437, _u13435), skolem295(_u13438, _u13437, _u13436, _u13435)), _u13436)), _u13438)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_wf__Un ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_wf__Un-1, axiom, ( ~c_Wellfounded_Owf(_u13439, _u13440) | ~c_Wellfounded_Owf(_u13439, _u13441) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13439, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u13439, _u13439), _u13440)), hAPP(c_Relation_ORange(_u13439, _u13439), _u13441)) != c_Orderings_Obot__class_Obot(tc_fun(_u13439, tc_HOL_Obool))) | c_Wellfounded_Owf(_u13439, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13439, _u13439), tc_HOL_Obool)), _u13440), _u13441)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_DomainI ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_DomainI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13442, _u13443)), hAPP(hAPP(c_Product__Type_OPair(_u13442, _u13443), _u13444), _u13445)), _u13446)) | hBOOL(hAPP(hAPP(c_member(_u13442), _u13444), hAPP(c_Relation_ODomain(_u13442, _u13443), _u13446))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_Domain__Id__on ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_Domain__Id__on-1, axiom, ( ( hAPP(c_Relation_ODomain(_u13447, _u13447), c_Relation_OId__on(_u13447, _u13448)) = _u13448) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_Domain__empty ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_Domain__empty-1, axiom, ( ( hAPP(c_Relation_ODomain(_u13449, _u13450), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13449, _u13450), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u13449, tc_HOL_Obool))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_Domain__empty__iff ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_Domain__empty__iff-1, axiom, ( ( hAPP(c_Relation_ODomain(_u13454, _u13456), _u13458) != c_Orderings_Obot__class_Obot(tc_fun(_u13454, tc_HOL_Obool))) | ( _u13458 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13454, _u13456), tc_HOL_Obool))) )).
% 39.89/40.09 cnf(fact_Domain__empty__iff-2, axiom, ( ( _u13459 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13455, _u13457), tc_HOL_Obool))) | ( hAPP(c_Relation_ODomain(_u13455, _u13457), _u13459) = c_Orderings_Obot__class_Obot(tc_fun(_u13455, tc_HOL_Obool))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_Domain__mono ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_Domain__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13460, _u13461), tc_HOL_Obool)), _u13462), _u13463)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13460, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u13460, _u13461), _u13462)), hAPP(c_Relation_ODomain(_u13460, _u13461), _u13463))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_Domain__Un__eq ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_Domain__Un__eq-1, axiom, ( ( hAPP(c_Relation_ODomain(_u13464, _u13465), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13464, _u13465), tc_HOL_Obool)), _u13466), _u13467)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13464, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u13464, _u13465), _u13466)), hAPP(c_Relation_ODomain(_u13464, _u13465), _u13467))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_finite__Domain ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_finite__Domain-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13468, _u13469)), _u13470)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13468), hAPP(c_Relation_ODomain(_u13468, _u13469), _u13470))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_fst__eq__Domain ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_fst__eq__Domain-1, axiom, ( ( hAPP(c_Set_Oimage(tc_prod(_u13471, _u13472), _u13471, c_Product__Type_Ofst(_u13471, _u13472)), _u13473) = hAPP(c_Relation_ODomain(_u13471, _u13472), _u13473)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_Domain__iff ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_Domain__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13480), _u13482), hAPP(c_Relation_ODomain(_u13480, _u13484), _u13486))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13480, _u13484)), hAPP(hAPP(c_Product__Type_OPair(_u13480, _u13484), _u13482), skolem296(_u13486, _u13484, _u13482, _u13480))), _u13486)) )).
% 39.89/40.09 cnf(fact_Domain__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13481, _u13485)), hAPP(hAPP(c_Product__Type_OPair(_u13481, _u13485), _u13483), _u13475)), _u13487)) | hBOOL(hAPP(hAPP(c_member(_u13481), _u13483), hAPP(c_Relation_ODomain(_u13481, _u13485), _u13487))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_Domain__insert ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_Domain__insert-1, axiom, ( ( hAPP(c_Relation_ODomain(_u13488, _u13489), hAPP(hAPP(c_Set_Oinsert(tc_prod(_u13488, _u13489)), hAPP(hAPP(c_Product__Type_OPair(_u13488, _u13489), _u13490), _u13491)), _u13492)) = hAPP(hAPP(c_Set_Oinsert(_u13488), _u13490), hAPP(c_Relation_ODomain(_u13488, _u13489), _u13492))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_Domain__Int__subset ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_Domain__Int__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13493, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u13493, _u13494), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13493, _u13494), tc_HOL_Obool)), _u13495), _u13496))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13493, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u13493, _u13494), _u13495)), hAPP(c_Relation_ODomain(_u13493, _u13494), _u13496)))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_Domain__Diff__subset ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_Domain__Diff__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13497, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13497, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u13497, _u13498), _u13499)), hAPP(c_Relation_ODomain(_u13497, _u13498), _u13500))), hAPP(c_Relation_ODomain(_u13497, _u13498), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u13497, _u13498), tc_HOL_Obool)), _u13499), _u13500)))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_Field__def ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_Field__def-1, axiom, ( ( hAPP(c_Relation_OField(_u13501), _u13502) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13501, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u13501, _u13501), _u13502)), hAPP(c_Relation_ORange(_u13501, _u13501), _u13502))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_Domain__Collect__split ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_Domain__Collect__split-1, axiom, ( ( hAPP(c_Relation_ODomain(_u13503, _u13504), hAPP(c_Set_OCollect(tc_prod(_u13503, _u13504)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13503, _u13504, tc_HOL_Obool), _u13505))) = hAPP(c_Set_OCollect(_u13503), hAPP(hAPP(c_COMBB(tc_fun(_u13504, tc_HOL_Obool), tc_HOL_Obool, _u13503), c_HOL_OEx(_u13504)), _u13505))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_DomainP__Domain__eq ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_DomainP__Domain__eq-1, axiom, ( ~hBOOL(hAPP(c_Predicate_ODomainP(_u13510, _u13512, hAPP(hAPP(c_COMBC(_u13510, tc_fun(tc_prod(_u13510, _u13512), tc_HOL_Obool), tc_fun(_u13512, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13512, tc_fun(tc_fun(tc_prod(_u13510, _u13512), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13510, _u13512), tc_HOL_Obool), tc_fun(_u13512, tc_HOL_Obool)), _u13510), c_COMBC(_u13512, tc_fun(tc_prod(_u13510, _u13512), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13512, tc_prod(_u13510, _u13512)), tc_fun(_u13512, tc_fun(tc_fun(tc_prod(_u13510, _u13512), tc_HOL_Obool), tc_HOL_Obool)), _u13510), hAPP(c_COMBB(tc_prod(_u13510, _u13512), tc_fun(tc_fun(tc_prod(_u13510, _u13512), tc_HOL_Obool), tc_HOL_Obool), _u13512), c_member(tc_prod(_u13510, _u13512)))), c_Product__Type_OPair(_u13510, _u13512)))), _u13514)), _u13516)) | hBOOL(hAPP(hAPP(c_member(_u13510), _u13516), hAPP(c_Relation_ODomain(_u13510, _u13512), _u13514))) )).
% 39.89/40.09 cnf(fact_DomainP__Domain__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13511), _u13517), hAPP(c_Relation_ODomain(_u13511, _u13513), _u13515))) | hBOOL(hAPP(c_Predicate_ODomainP(_u13511, _u13513, hAPP(hAPP(c_COMBC(_u13511, tc_fun(tc_prod(_u13511, _u13513), tc_HOL_Obool), tc_fun(_u13513, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13513, tc_fun(tc_fun(tc_prod(_u13511, _u13513), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13511, _u13513), tc_HOL_Obool), tc_fun(_u13513, tc_HOL_Obool)), _u13511), c_COMBC(_u13513, tc_fun(tc_prod(_u13511, _u13513), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13513, tc_prod(_u13511, _u13513)), tc_fun(_u13513, tc_fun(tc_fun(tc_prod(_u13511, _u13513), tc_HOL_Obool), tc_HOL_Obool)), _u13511), hAPP(c_COMBB(tc_prod(_u13511, _u13513), tc_fun(tc_fun(tc_prod(_u13511, _u13513), tc_HOL_Obool), tc_HOL_Obool), _u13513), c_member(tc_prod(_u13511, _u13513)))), c_Product__Type_OPair(_u13511, _u13513)))), _u13515)), _u13517)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_DomainE ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_DomainE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13519), _u13520), hAPP(c_Relation_ODomain(_u13519, _u13521), _u13522))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13519, _u13521)), hAPP(hAPP(c_Product__Type_OPair(_u13519, _u13521), _u13520), skolem297(_u13522, _u13521, _u13520, _u13519))), _u13522)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_fold1Set_Oequations ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_fold1Set_Oequations-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u13532, _u13534, hAPP(hAPP(c_Set_Oinsert(_u13532), _u13536), _u13538)), _u13540)) | ( hAPP(hAPP(c_Set_Oinsert(_u13532), _u13536), _u13538) = hAPP(hAPP(c_Set_Oinsert(_u13532), skolem298(_u13540, _u13538, _u13536, _u13534, _u13532)), skolem299(_u13540, _u13538, _u13536, _u13534, _u13532))) )).
% 39.89/40.09 cnf(fact_fold1Set_Oequations-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u13532, _u13534, hAPP(hAPP(c_Set_Oinsert(_u13532), _u13536), _u13538)), _u13540)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u13532, _u13532, _u13534, skolem298(_u13540, _u13538, _u13536, _u13534, _u13532), skolem299(_u13540, _u13538, _u13536, _u13534, _u13532)), _u13540)) )).
% 39.89/40.09 cnf(fact_fold1Set_Oequations-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u13532, _u13534, hAPP(hAPP(c_Set_Oinsert(_u13532), _u13536), _u13538)), _u13540)) | ~hBOOL(hAPP(hAPP(c_member(_u13532), skolem298(_u13540, _u13538, _u13536, _u13534, _u13532)), skolem299(_u13540, _u13538, _u13536, _u13534, _u13532))) )).
% 39.89/40.09 cnf(fact_fold1Set_Oequations-4, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u13533), _u13537), _u13539) != hAPP(hAPP(c_Set_Oinsert(_u13533), _u13526), _u13525)) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u13533, _u13533, _u13535, _u13526, _u13525), _u13541)) | hBOOL(hAPP(hAPP(c_member(_u13533), _u13526), _u13525)) | hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u13533, _u13535, hAPP(hAPP(c_Set_Oinsert(_u13533), _u13537), _u13539)), _u13541)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_DomainP_Ointros ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_DomainP_Ointros-1, axiom, ( ~hBOOL(hAPP(hAPP(_u13542, _u13543), _u13544)) | hBOOL(hAPP(c_Predicate_ODomainP(_u13545, _u13546, _u13542), _u13543)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_DomainP_Oequations ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_DomainP_Oequations-1, axiom, ( hBOOL(hAPP(hAPP(_u13557, _u13559), skolem300(_u13559, _u13557))) | ~hBOOL(hAPP(c_Predicate_ODomainP(_u13553, _u13555, _u13557), _u13559)) )).
% 39.89/40.09 cnf(fact_DomainP_Oequations-2, axiom, ( ~hBOOL(hAPP(hAPP(_u13558, _u13560), _u13548)) | hBOOL(hAPP(c_Predicate_ODomainP(_u13554, _u13556, _u13558), _u13560)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_insert__fold1SetE ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_insert__fold1SetE-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u13563, _u13564, hAPP(hAPP(c_Set_Oinsert(_u13563), _u13565), _u13566)), _u13567)) | ( hAPP(hAPP(c_Set_Oinsert(_u13563), _u13565), _u13566) = hAPP(hAPP(c_Set_Oinsert(_u13563), skolem301(_u13567, _u13566, _u13565, _u13564, _u13563)), skolem302(_u13567, _u13566, _u13565, _u13564, _u13563))) )).
% 39.89/40.09 cnf(fact_insert__fold1SetE-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u13563, _u13564, hAPP(hAPP(c_Set_Oinsert(_u13563), _u13565), _u13566)), _u13567)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u13563, _u13563, _u13564, skolem301(_u13567, _u13566, _u13565, _u13564, _u13563), skolem302(_u13567, _u13566, _u13565, _u13564, _u13563)), _u13567)) )).
% 39.89/40.09 cnf(fact_insert__fold1SetE-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u13563, _u13564, hAPP(hAPP(c_Set_Oinsert(_u13563), _u13565), _u13566)), _u13567)) | ~hBOOL(hAPP(hAPP(c_member(_u13563), skolem301(_u13567, _u13566, _u13565, _u13564, _u13563)), skolem302(_u13567, _u13566, _u13565, _u13564, _u13563))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_image__split__eq__Sigma ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_image__split__eq__Sigma-1, axiom, ( ( hAPP(c_Set_Oimage(_u13568, tc_prod(_u13569, _u13570), hAPP(hAPP(c_COMBS(_u13568, _u13570, tc_prod(_u13569, _u13570)), hAPP(hAPP(c_COMBB(_u13569, tc_fun(_u13570, tc_prod(_u13569, _u13570)), _u13568), c_Product__Type_OPair(_u13569, _u13570)), _u13571)), _u13572)), _u13573) = hAPP(hAPP(c_Product__Type_OSigma(_u13569, _u13570), hAPP(c_Set_Oimage(_u13568, _u13569, _u13571), _u13573)), hAPP(hAPP(c_COMBB(tc_fun(_u13568, tc_HOL_Obool), tc_fun(_u13570, tc_HOL_Obool), _u13569), c_Set_Oimage(_u13568, _u13570, _u13572)), hAPP(hAPP(c_COMBC(_u13569, tc_fun(_u13568, tc_HOL_Obool), tc_fun(_u13568, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13568, tc_HOL_Obool), tc_fun(tc_fun(_u13568, tc_HOL_Obool), tc_fun(_u13568, tc_HOL_Obool)), _u13569), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13568, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13569, tc_HOL_Obool), tc_fun(_u13568, tc_HOL_Obool), _u13569), c_Set_Ovimage(_u13568, _u13569, _u13571)), hAPP(hAPP(c_COMBC(_u13569, tc_fun(_u13569, tc_HOL_Obool), tc_fun(_u13569, tc_HOL_Obool)), c_Set_Oinsert(_u13569)), c_Orderings_Obot__class_Obot(tc_fun(_u13569, tc_HOL_Obool)))))), _u13573)))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_nat0__intermed__int__val ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_nat0__intermed__int__val-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem303(_u13578, _u13577, _u13576)), _u13576)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u13577, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u13578)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u13578), hAPP(_u13577, _u13576))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem304(_u13578, _u13577, _u13576)), _u13576)) )).
% 39.89/40.09 cnf(fact_nat0__intermed__int__val-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem303(_u13578, _u13577, _u13576)), _u13576)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u13577, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u13578)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u13578), hAPP(_u13577, _u13576))) | ( hAPP(_u13577, skolem304(_u13578, _u13577, _u13576)) = _u13578) )).
% 39.89/40.09 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(_u13577, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem303(_u13578, _u13577, _u13576)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u13577, skolem303(_u13578, _u13577, _u13576))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u13577, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u13578)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u13578), hAPP(_u13577, _u13576))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem304(_u13578, _u13577, _u13576)), _u13576)) )).
% 39.89/40.09 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(_u13577, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem303(_u13578, _u13577, _u13576)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u13577, skolem303(_u13578, _u13577, _u13576))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u13577, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u13578)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u13578), hAPP(_u13577, _u13576))) | ( hAPP(_u13577, skolem304(_u13578, _u13577, _u13576)) = _u13578) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_SigmaI ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_SigmaI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13579), _u13580), _u13581)) | ~hBOOL(hAPP(hAPP(c_member(_u13582), _u13583), hAPP(_u13584, _u13580))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13579, _u13582)), hAPP(hAPP(c_Product__Type_OPair(_u13579, _u13582), _u13580), _u13583)), hAPP(hAPP(c_Product__Type_OSigma(_u13579, _u13582), _u13581), _u13584))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_Times__eq__cancel2 ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_Times__eq__cancel2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13585), _u13586), _u13587)) | ( hAPP(hAPP(c_Product__Type_OSigma(_u13588, _u13585), _u13589), hAPP(c_COMBK(tc_fun(_u13585, tc_HOL_Obool), _u13588), _u13587)) != hAPP(hAPP(c_Product__Type_OSigma(_u13588, _u13585), _u13590), hAPP(c_COMBK(tc_fun(_u13585, tc_HOL_Obool), _u13588), _u13587))) | ( _u13589 = _u13590) )).
% 39.89/40.09 cnf(fact_Times__eq__cancel2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13585), _u13586), _u13587)) | ( _u13589 != _u13590) | ( hAPP(hAPP(c_Product__Type_OSigma(_u13588, _u13585), _u13589), hAPP(c_COMBK(tc_fun(_u13585, tc_HOL_Obool), _u13588), _u13587)) = hAPP(hAPP(c_Product__Type_OSigma(_u13588, _u13585), _u13590), hAPP(c_COMBK(tc_fun(_u13585, tc_HOL_Obool), _u13588), _u13587))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_Sigma__empty1 ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_Sigma__empty1-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13591, _u13592), c_Orderings_Obot__class_Obot(tc_fun(_u13591, tc_HOL_Obool))), _u13593) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13591, _u13592), tc_HOL_Obool))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_card__cartesian__product ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_card__cartesian__product-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_prod(_u13594, _u13595)), hAPP(hAPP(c_Product__Type_OSigma(_u13594, _u13595), _u13596), hAPP(c_COMBK(tc_fun(_u13595, tc_HOL_Obool), _u13594), _u13597))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u13594), _u13596)), hAPP(c_Finite__Set_Ocard(_u13595), _u13597))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_setsum__cartesian__product ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_setsum__cartesian__product-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u13598) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13599, _u13598), hAPP(hAPP(c_COMBC(_u13599, tc_fun(_u13600, tc_HOL_Obool), _u13598), hAPP(hAPP(c_COMBB(tc_fun(_u13600, _u13598), tc_fun(tc_fun(_u13600, tc_HOL_Obool), _u13598), _u13599), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13600, _u13598)), _u13601)), _u13602)), _u13603) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(_u13599, _u13600), _u13598), hAPP(c_Product__Type_Oprod_Oprod__case(_u13599, _u13600, _u13598), _u13601)), hAPP(hAPP(c_Product__Type_OSigma(_u13599, _u13600), _u13603), hAPP(c_COMBK(tc_fun(_u13600, tc_HOL_Obool), _u13599), _u13602)))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_Sigma__empty2 ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_Sigma__empty2-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13604, _u13605), _u13606), hAPP(c_COMBK(tc_fun(_u13605, tc_HOL_Obool), _u13604), c_Orderings_Obot__class_Obot(tc_fun(_u13605, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13604, _u13605), tc_HOL_Obool))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_Times__empty ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_Times__empty-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13611, _u13613), _u13615), hAPP(c_COMBK(tc_fun(_u13613, tc_HOL_Obool), _u13611), _u13617)) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13611, _u13613), tc_HOL_Obool))) | ( _u13615 = c_Orderings_Obot__class_Obot(tc_fun(_u13611, tc_HOL_Obool))) | ( _u13617 = c_Orderings_Obot__class_Obot(tc_fun(_u13613, tc_HOL_Obool))) )).
% 39.89/40.09 cnf(fact_Times__empty-2, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13612, _u13614), _u13616), hAPP(c_COMBK(tc_fun(_u13614, tc_HOL_Obool), _u13612), _u13618)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13612, _u13614), tc_HOL_Obool))) | ( _u13616 != c_Orderings_Obot__class_Obot(tc_fun(_u13612, tc_HOL_Obool))) )).
% 39.89/40.09 cnf(fact_Times__empty-3, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13612, _u13614), _u13616), hAPP(c_COMBK(tc_fun(_u13614, tc_HOL_Obool), _u13612), _u13618)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13612, _u13614), tc_HOL_Obool))) | ( _u13618 != c_Orderings_Obot__class_Obot(tc_fun(_u13614, tc_HOL_Obool))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_Compl__Times__UNIV2 ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_Compl__Times__UNIV2-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_prod(_u13619, _u13620), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13619, _u13620), _u13621), hAPP(c_COMBK(tc_fun(_u13620, tc_HOL_Obool), _u13619), c_Orderings_Otop__class_Otop(tc_fun(_u13620, tc_HOL_Obool))))) = hAPP(hAPP(c_Product__Type_OSigma(_u13619, _u13620), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u13619, tc_HOL_Obool)), _u13621)), hAPP(c_COMBK(tc_fun(_u13620, tc_HOL_Obool), _u13619), c_Orderings_Otop__class_Otop(tc_fun(_u13620, tc_HOL_Obool))))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_Compl__Times__UNIV1 ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_Compl__Times__UNIV1-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_prod(_u13622, _u13623), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13622, _u13623), c_Orderings_Otop__class_Otop(tc_fun(_u13622, tc_HOL_Obool))), hAPP(c_COMBK(tc_fun(_u13623, tc_HOL_Obool), _u13622), _u13624))) = hAPP(hAPP(c_Product__Type_OSigma(_u13622, _u13623), c_Orderings_Otop__class_Otop(tc_fun(_u13622, tc_HOL_Obool))), hAPP(c_COMBK(tc_fun(_u13623, tc_HOL_Obool), _u13622), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u13623, tc_HOL_Obool)), _u13624)))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_setprod__cartesian__product ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_setprod__cartesian__product-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u13625) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13626, _u13625), hAPP(hAPP(c_COMBC(_u13626, tc_fun(_u13627, tc_HOL_Obool), _u13625), hAPP(hAPP(c_COMBB(tc_fun(_u13627, _u13625), tc_fun(tc_fun(_u13627, tc_HOL_Obool), _u13625), _u13626), c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13627, _u13625)), _u13628)), _u13629)), _u13630) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(_u13626, _u13627), _u13625), hAPP(c_Product__Type_Oprod_Oprod__case(_u13626, _u13627, _u13625), _u13628)), hAPP(hAPP(c_Product__Type_OSigma(_u13626, _u13627), _u13630), hAPP(c_COMBK(tc_fun(_u13627, tc_HOL_Obool), _u13626), _u13629)))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_Sigma__Un__distrib1 ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_Sigma__Un__distrib1-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13631, _u13632), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13631, tc_HOL_Obool)), _u13633), _u13634)), _u13635) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13631, _u13632), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13631, _u13632), _u13633), _u13635)), hAPP(hAPP(c_Product__Type_OSigma(_u13631, _u13632), _u13634), _u13635))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_Times__Un__distrib1 ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_Times__Un__distrib1-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13636, _u13637), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13636, tc_HOL_Obool)), _u13638), _u13639)), hAPP(c_COMBK(tc_fun(_u13637, tc_HOL_Obool), _u13636), _u13640)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13636, _u13637), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13636, _u13637), _u13638), hAPP(c_COMBK(tc_fun(_u13637, tc_HOL_Obool), _u13636), _u13640))), hAPP(hAPP(c_Product__Type_OSigma(_u13636, _u13637), _u13639), hAPP(c_COMBK(tc_fun(_u13637, tc_HOL_Obool), _u13636), _u13640)))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_Sigma__Un__distrib2 ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_Sigma__Un__distrib2-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13641, _u13642), _u13643), hAPP(hAPP(c_COMBS(_u13641, tc_fun(_u13642, tc_HOL_Obool), tc_fun(_u13642, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13642, tc_HOL_Obool), tc_fun(tc_fun(_u13642, tc_HOL_Obool), tc_fun(_u13642, tc_HOL_Obool)), _u13641), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13642, tc_HOL_Obool))), _u13644)), _u13645)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13641, _u13642), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13641, _u13642), _u13643), _u13644)), hAPP(hAPP(c_Product__Type_OSigma(_u13641, _u13642), _u13643), _u13645))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_rel__comp__subset__Sigma ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_rel__comp__subset__Sigma-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13646, _u13647), tc_HOL_Obool)), _u13648), hAPP(hAPP(c_Product__Type_OSigma(_u13646, _u13647), _u13649), hAPP(c_COMBK(tc_fun(_u13647, tc_HOL_Obool), _u13646), _u13650)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13647, _u13651), tc_HOL_Obool)), _u13652), hAPP(hAPP(c_Product__Type_OSigma(_u13647, _u13651), _u13650), hAPP(c_COMBK(tc_fun(_u13651, tc_HOL_Obool), _u13647), _u13653)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13646, _u13651), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13646, _u13647, _u13651), _u13648), _u13652)), hAPP(hAPP(c_Product__Type_OSigma(_u13646, _u13651), _u13649), hAPP(c_COMBK(tc_fun(_u13651, tc_HOL_Obool), _u13646), _u13653)))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_swap__product ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_swap__product-1, axiom, ( ( hAPP(c_Set_Oimage(tc_prod(_u13654, _u13655), tc_prod(_u13655, _u13654), hAPP(c_Product__Type_Oprod_Oprod__case(_u13654, _u13655, tc_prod(_u13655, _u13654)), hAPP(c_COMBC(_u13655, _u13654, tc_prod(_u13655, _u13654)), c_Product__Type_OPair(_u13655, _u13654)))), hAPP(hAPP(c_Product__Type_OSigma(_u13654, _u13655), _u13656), hAPP(c_COMBK(tc_fun(_u13655, tc_HOL_Obool), _u13654), _u13657))) = hAPP(hAPP(c_Product__Type_OSigma(_u13655, _u13654), _u13657), hAPP(c_COMBK(tc_fun(_u13654, tc_HOL_Obool), _u13655), _u13656))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_finite__cartesian__product ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_finite__cartesian__product-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13658), _u13659)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13660), _u13661)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13658, _u13660)), hAPP(hAPP(c_Product__Type_OSigma(_u13658, _u13660), _u13659), hAPP(c_COMBK(tc_fun(_u13660, tc_HOL_Obool), _u13658), _u13661)))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_equiv__type ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_equiv__type-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u13662, _u13663, _u13664) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13662, _u13662), tc_HOL_Obool)), _u13664), hAPP(hAPP(c_Product__Type_OSigma(_u13662, _u13662), _u13663), hAPP(c_COMBK(tc_fun(_u13662, tc_HOL_Obool), _u13662), _u13663)))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_Sigma__Int__distrib1 ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_Sigma__Int__distrib1-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13665, _u13666), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13665, tc_HOL_Obool)), _u13667), _u13668)), _u13669) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13665, _u13666), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13665, _u13666), _u13667), _u13669)), hAPP(hAPP(c_Product__Type_OSigma(_u13665, _u13666), _u13668), _u13669))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_Times__Int__distrib1 ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_Times__Int__distrib1-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13670, _u13671), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13670, tc_HOL_Obool)), _u13672), _u13673)), hAPP(c_COMBK(tc_fun(_u13671, tc_HOL_Obool), _u13670), _u13674)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13670, _u13671), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13670, _u13671), _u13672), hAPP(c_COMBK(tc_fun(_u13671, tc_HOL_Obool), _u13670), _u13674))), hAPP(hAPP(c_Product__Type_OSigma(_u13670, _u13671), _u13673), hAPP(c_COMBK(tc_fun(_u13671, tc_HOL_Obool), _u13670), _u13674)))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_Sigma__Int__distrib2 ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_Sigma__Int__distrib2-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13675, _u13676), _u13677), hAPP(hAPP(c_COMBS(_u13675, tc_fun(_u13676, tc_HOL_Obool), tc_fun(_u13676, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13676, tc_HOL_Obool), tc_fun(tc_fun(_u13676, tc_HOL_Obool), tc_fun(_u13676, tc_HOL_Obool)), _u13675), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13676, tc_HOL_Obool))), _u13678)), _u13679)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13675, _u13676), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13675, _u13676), _u13677), _u13678)), hAPP(hAPP(c_Product__Type_OSigma(_u13675, _u13676), _u13677), _u13679))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_Id__on__subset__Times ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_Id__on__subset__Times-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13680, _u13680), tc_HOL_Obool)), c_Relation_OId__on(_u13680, _u13681)), hAPP(hAPP(c_Product__Type_OSigma(_u13680, _u13680), _u13681), hAPP(c_COMBK(tc_fun(_u13680, tc_HOL_Obool), _u13680), _u13681)))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_Sigma__Diff__distrib1 ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_Sigma__Diff__distrib1-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13682, _u13683), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13682, tc_HOL_Obool)), _u13684), _u13685)), _u13686) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u13682, _u13683), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13682, _u13683), _u13684), _u13686)), hAPP(hAPP(c_Product__Type_OSigma(_u13682, _u13683), _u13685), _u13686))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_Times__Diff__distrib1 ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_Times__Diff__distrib1-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13687, _u13688), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13687, tc_HOL_Obool)), _u13689), _u13690)), hAPP(c_COMBK(tc_fun(_u13688, tc_HOL_Obool), _u13687), _u13691)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u13687, _u13688), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13687, _u13688), _u13689), hAPP(c_COMBK(tc_fun(_u13688, tc_HOL_Obool), _u13687), _u13691))), hAPP(hAPP(c_Product__Type_OSigma(_u13687, _u13688), _u13690), hAPP(c_COMBK(tc_fun(_u13688, tc_HOL_Obool), _u13687), _u13691)))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_Sigma__Diff__distrib2 ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_Sigma__Diff__distrib2-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13692, _u13693), _u13694), hAPP(hAPP(c_COMBS(_u13692, tc_fun(_u13693, tc_HOL_Obool), tc_fun(_u13693, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13693, tc_HOL_Obool), tc_fun(tc_fun(_u13693, tc_HOL_Obool), tc_fun(_u13693, tc_HOL_Obool)), _u13692), c_Groups_Ominus__class_Ominus(tc_fun(_u13693, tc_HOL_Obool))), _u13695)), _u13696)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u13692, _u13693), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13692, _u13693), _u13694), _u13695)), hAPP(hAPP(c_Product__Type_OSigma(_u13692, _u13693), _u13694), _u13696))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_UNIV__Times__UNIV ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_UNIV__Times__UNIV-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13697, _u13698), c_Orderings_Otop__class_Otop(tc_fun(_u13697, tc_HOL_Obool))), hAPP(c_COMBK(tc_fun(_u13698, tc_HOL_Obool), _u13697), c_Orderings_Otop__class_Otop(tc_fun(_u13698, tc_HOL_Obool)))) = c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u13697, _u13698), tc_HOL_Obool))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_mem__Sigma__iff ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_mem__Sigma__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13705, _u13707)), hAPP(hAPP(c_Product__Type_OPair(_u13705, _u13707), _u13709), _u13711)), hAPP(hAPP(c_Product__Type_OSigma(_u13705, _u13707), _u13713), _u13715))) | hBOOL(hAPP(hAPP(c_member(_u13705), _u13709), _u13713)) )).
% 39.89/40.09 cnf(fact_mem__Sigma__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13705, _u13707)), hAPP(hAPP(c_Product__Type_OPair(_u13705, _u13707), _u13709), _u13711)), hAPP(hAPP(c_Product__Type_OSigma(_u13705, _u13707), _u13713), _u13715))) | hBOOL(hAPP(hAPP(c_member(_u13707), _u13711), hAPP(_u13715, _u13709))) )).
% 39.89/40.09 cnf(fact_mem__Sigma__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13706), _u13710), _u13714)) | ~hBOOL(hAPP(hAPP(c_member(_u13708), _u13712), hAPP(_u13716, _u13710))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13706, _u13708)), hAPP(hAPP(c_Product__Type_OPair(_u13706, _u13708), _u13710), _u13712)), hAPP(hAPP(c_Product__Type_OSigma(_u13706, _u13708), _u13714), _u13716))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_SigmaD1 ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_SigmaD1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13717, _u13718)), hAPP(hAPP(c_Product__Type_OPair(_u13717, _u13718), _u13719), _u13720)), hAPP(hAPP(c_Product__Type_OSigma(_u13717, _u13718), _u13721), _u13722))) | hBOOL(hAPP(hAPP(c_member(_u13717), _u13719), _u13721)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_SigmaD2 ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_SigmaD2-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u13724), _u13726), hAPP(_u13728, _u13725))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13723, _u13724)), hAPP(hAPP(c_Product__Type_OPair(_u13723, _u13724), _u13725), _u13726)), hAPP(hAPP(c_Product__Type_OSigma(_u13723, _u13724), _u13727), _u13728))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_SigmaE2 ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_SigmaE2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13729, _u13730)), hAPP(hAPP(c_Product__Type_OPair(_u13729, _u13730), _u13731), _u13732)), hAPP(hAPP(c_Product__Type_OSigma(_u13729, _u13730), _u13733), _u13734))) | hBOOL(hAPP(hAPP(c_member(_u13729), _u13731), _u13733)) )).
% 39.89/40.09 cnf(fact_SigmaE2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13729, _u13730)), hAPP(hAPP(c_Product__Type_OPair(_u13729, _u13730), _u13731), _u13732)), hAPP(hAPP(c_Product__Type_OSigma(_u13729, _u13730), _u13733), _u13734))) | hBOOL(hAPP(hAPP(c_member(_u13730), _u13732), hAPP(_u13734, _u13731))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_card__cartesian__product__singleton ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_card__cartesian__product__singleton-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_prod(_u13735, _u13736)), hAPP(hAPP(c_Product__Type_OSigma(_u13735, _u13736), hAPP(hAPP(c_Set_Oinsert(_u13735), _u13737), c_Orderings_Obot__class_Obot(tc_fun(_u13735, tc_HOL_Obool)))), hAPP(c_COMBK(tc_fun(_u13736, tc_HOL_Obool), _u13735), _u13738))) = hAPP(c_Finite__Set_Ocard(_u13736), _u13738)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_Times__subset__cancel2 ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_Times__subset__cancel2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13739), _u13740), _u13741)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13742, _u13739), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13742, _u13739), _u13743), hAPP(c_COMBK(tc_fun(_u13739, tc_HOL_Obool), _u13742), _u13741))), hAPP(hAPP(c_Product__Type_OSigma(_u13742, _u13739), _u13744), hAPP(c_COMBK(tc_fun(_u13739, tc_HOL_Obool), _u13742), _u13741)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13742, tc_HOL_Obool)), _u13743), _u13744)) )).
% 39.89/40.09 cnf(fact_Times__subset__cancel2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13739), _u13740), _u13741)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13742, tc_HOL_Obool)), _u13743), _u13744)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13742, _u13739), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13742, _u13739), _u13743), hAPP(c_COMBK(tc_fun(_u13739, tc_HOL_Obool), _u13742), _u13741))), hAPP(hAPP(c_Product__Type_OSigma(_u13742, _u13739), _u13744), hAPP(c_COMBK(tc_fun(_u13739, tc_HOL_Obool), _u13742), _u13741)))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_Image__subset ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_Image__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13745, _u13746), tc_HOL_Obool)), _u13747), hAPP(hAPP(c_Product__Type_OSigma(_u13745, _u13746), _u13748), hAPP(c_COMBK(tc_fun(_u13746, tc_HOL_Obool), _u13745), _u13749)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13746, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u13745, _u13746, _u13747), _u13750)), _u13749)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_finite__cartesian__productD2 ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_finite__cartesian__productD2-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13751, _u13752)), hAPP(hAPP(c_Product__Type_OSigma(_u13751, _u13752), _u13753), hAPP(c_COMBK(tc_fun(_u13752, tc_HOL_Obool), _u13751), _u13754)))) | ( _u13753 = c_Orderings_Obot__class_Obot(tc_fun(_u13751, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13752), _u13754)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_finite__cartesian__productD1 ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_finite__cartesian__productD1-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13755, _u13756)), hAPP(hAPP(c_Product__Type_OSigma(_u13755, _u13756), _u13757), hAPP(c_COMBK(tc_fun(_u13756, tc_HOL_Obool), _u13755), _u13758)))) | ( _u13758 = c_Orderings_Obot__class_Obot(tc_fun(_u13756, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13755), _u13757)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_SetCompr__Sigma__eq ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_SetCompr__Sigma__eq-1, axiom, ( ( hAPP(c_Set_OCollect(tc_prod(_u13759, _u13760)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13759, _u13760, tc_HOL_Obool), hAPP(hAPP(c_COMBS(_u13759, tc_fun(_u13760, tc_HOL_Obool), tc_fun(_u13760, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13760, tc_HOL_Obool), tc_fun(_u13760, tc_HOL_Obool)), _u13759), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13760)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13759), c_fconj), _u13761))), _u13762))) = hAPP(hAPP(c_Product__Type_OSigma(_u13759, _u13760), hAPP(c_Set_OCollect(_u13759), _u13761)), hAPP(hAPP(c_COMBB(tc_fun(_u13760, tc_HOL_Obool), tc_fun(_u13760, tc_HOL_Obool), _u13759), c_Set_OCollect(_u13760)), _u13762))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_Collect__split ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_Collect__split-1, axiom, ( ( hAPP(c_Set_OCollect(tc_prod(_u13763, _u13764)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13763, _u13764, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13763, tc_fun(_u13764, tc_HOL_Obool), tc_fun(_u13764, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13764, tc_HOL_Obool), tc_fun(_u13764, tc_HOL_Obool)), _u13763), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13764)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13763), c_fconj), _u13765))), _u13766))) = hAPP(hAPP(c_Product__Type_OSigma(_u13763, _u13764), hAPP(c_Set_OCollect(_u13763), _u13765)), hAPP(c_COMBK(tc_fun(_u13764, tc_HOL_Obool), _u13763), hAPP(c_Set_OCollect(_u13764), _u13766)))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_fst__image__times ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_fst__image__times-1, axiom, ( ( _u13771 != c_Orderings_Obot__class_Obot(tc_fun(_u13773, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u13775, _u13773), _u13775, c_Product__Type_Ofst(_u13775, _u13773)), hAPP(hAPP(c_Product__Type_OSigma(_u13775, _u13773), _u13777), hAPP(c_COMBK(tc_fun(_u13773, tc_HOL_Obool), _u13775), _u13771))) = c_Orderings_Obot__class_Obot(tc_fun(_u13775, tc_HOL_Obool))) )).
% 39.89/40.09 cnf(fact_fst__image__times-2, axiom, ( ( _u13772 = c_Orderings_Obot__class_Obot(tc_fun(_u13774, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u13776, _u13774), _u13776, c_Product__Type_Ofst(_u13776, _u13774)), hAPP(hAPP(c_Product__Type_OSigma(_u13776, _u13774), _u13778), hAPP(c_COMBK(tc_fun(_u13774, tc_HOL_Obool), _u13776), _u13772))) = _u13778) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_snd__image__times ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_snd__image__times-1, axiom, ( ( _u13783 != c_Orderings_Obot__class_Obot(tc_fun(_u13785, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u13785, _u13787), _u13787, c_Product__Type_Osnd(_u13785, _u13787)), hAPP(hAPP(c_Product__Type_OSigma(_u13785, _u13787), _u13783), hAPP(c_COMBK(tc_fun(_u13787, tc_HOL_Obool), _u13785), _u13789))) = c_Orderings_Obot__class_Obot(tc_fun(_u13787, tc_HOL_Obool))) )).
% 39.89/40.09 cnf(fact_snd__image__times-2, axiom, ( ( _u13784 = c_Orderings_Obot__class_Obot(tc_fun(_u13786, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u13786, _u13788), _u13788, c_Product__Type_Osnd(_u13786, _u13788)), hAPP(hAPP(c_Product__Type_OSigma(_u13786, _u13788), _u13784), hAPP(c_COMBK(tc_fun(_u13788, tc_HOL_Obool), _u13786), _u13790))) = _u13790) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_insert__times__insert ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_insert__times__insert-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13791, _u13792), hAPP(hAPP(c_Set_Oinsert(_u13791), _u13793), _u13794)), hAPP(c_COMBK(tc_fun(_u13792, tc_HOL_Obool), _u13791), hAPP(hAPP(c_Set_Oinsert(_u13792), _u13795), _u13796))) = hAPP(hAPP(c_Set_Oinsert(tc_prod(_u13791, _u13792)), hAPP(hAPP(c_Product__Type_OPair(_u13791, _u13792), _u13793), _u13795)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13791, _u13792), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13791, _u13792), _u13794), hAPP(c_COMBK(tc_fun(_u13792, tc_HOL_Obool), _u13791), hAPP(hAPP(c_Set_Oinsert(_u13792), _u13795), _u13796)))), hAPP(hAPP(c_Product__Type_OSigma(_u13791, _u13792), hAPP(hAPP(c_Set_Oinsert(_u13791), _u13793), _u13794)), hAPP(c_COMBK(tc_fun(_u13792, tc_HOL_Obool), _u13791), _u13796))))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_finite__equiv__class ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_finite__equiv__class-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13797), _u13798)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13797, _u13797), tc_HOL_Obool)), _u13799), hAPP(hAPP(c_Product__Type_OSigma(_u13797, _u13797), _u13798), hAPP(c_COMBK(tc_fun(_u13797, tc_HOL_Obool), _u13797), _u13798)))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u13797, tc_HOL_Obool)), _u13800), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u13797), _u13798), _u13799))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13797), _u13800)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_vimage__Times ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_vimage__Times-1, axiom, ( ( hAPP(c_Set_Ovimage(_u13801, tc_prod(_u13802, _u13803), _u13804), hAPP(hAPP(c_Product__Type_OSigma(_u13802, _u13803), _u13805), hAPP(c_COMBK(tc_fun(_u13803, tc_HOL_Obool), _u13802), _u13806))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13801, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u13801, _u13802, hAPP(c_Fun_Ocomp(tc_prod(_u13802, _u13803), _u13802, _u13801, c_Product__Type_Ofst(_u13802, _u13803)), _u13804)), _u13805)), hAPP(c_Set_Ovimage(_u13801, _u13803, hAPP(c_Fun_Ocomp(tc_prod(_u13802, _u13803), _u13803, _u13801, c_Product__Type_Osnd(_u13802, _u13803)), _u13804)), _u13806))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_UN__Times__distrib ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_UN__Times__distrib-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_prod(_u13807, _u13808), tc_fun(tc_prod(_u13809, _u13810), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13807, _u13808), _u13811), hAPP(c_COMBK(tc_fun(_u13808, tc_HOL_Obool), _u13807), _u13812))), hAPP(c_Product__Type_Oprod_Oprod__case(_u13807, _u13808, tc_fun(tc_prod(_u13809, _u13810), tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u13807, tc_fun(_u13808, tc_fun(_u13809, tc_fun(_u13810, tc_HOL_Obool))), tc_fun(_u13808, tc_fun(tc_prod(_u13809, _u13810), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u13809, tc_fun(_u13810, tc_HOL_Obool)), tc_fun(tc_prod(_u13809, _u13810), tc_HOL_Obool)), tc_fun(tc_fun(_u13808, tc_fun(_u13809, tc_fun(_u13810, tc_HOL_Obool))), tc_fun(_u13808, tc_fun(tc_prod(_u13809, _u13810), tc_HOL_Obool))), _u13807), c_COMBB(tc_fun(_u13809, tc_fun(_u13810, tc_HOL_Obool)), tc_fun(tc_prod(_u13809, _u13810), tc_HOL_Obool), _u13808)), hAPP(hAPP(c_COMBB(tc_fun(_u13809, tc_HOL_Obool), tc_fun(tc_fun(_u13809, tc_fun(_u13810, tc_HOL_Obool)), tc_fun(tc_prod(_u13809, _u13810), tc_HOL_Obool)), _u13807), c_Product__Type_OSigma(_u13809, _u13810)), _u13813))), hAPP(hAPP(c_COMBB(tc_fun(_u13810, tc_HOL_Obool), tc_fun(_u13809, tc_fun(_u13810, tc_HOL_Obool)), _u13808), c_COMBK(tc_fun(_u13810, tc_HOL_Obool), _u13809)), _u13814)))) = hAPP(hAPP(c_Product__Type_OSigma(_u13809, _u13810), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13807, tc_fun(_u13809, tc_HOL_Obool)), _u13811), _u13813)), hAPP(c_COMBK(tc_fun(_u13810, tc_HOL_Obool), _u13809), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13808, tc_fun(_u13810, tc_HOL_Obool)), _u13812), _u13814)))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_Sigma__def ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_Sigma__def-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13815, _u13816), _u13817), _u13818) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13815, tc_fun(tc_prod(_u13815, _u13816), tc_HOL_Obool)), _u13817), hAPP(hAPP(c_COMBS(_u13815, tc_fun(_u13816, tc_fun(tc_prod(_u13815, _u13816), tc_HOL_Obool)), tc_fun(tc_prod(_u13815, _u13816), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13816, tc_HOL_Obool), tc_fun(tc_fun(_u13816, tc_fun(tc_prod(_u13815, _u13816), tc_HOL_Obool)), tc_fun(tc_prod(_u13815, _u13816), tc_HOL_Obool)), _u13815), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13816, tc_fun(tc_prod(_u13815, _u13816), tc_HOL_Obool))), _u13818)), hAPP(hAPP(c_COMBC(_u13815, tc_fun(tc_prod(_u13815, _u13816), tc_HOL_Obool), tc_fun(_u13816, tc_fun(tc_prod(_u13815, _u13816), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13816, tc_fun(tc_fun(tc_prod(_u13815, _u13816), tc_HOL_Obool), tc_fun(tc_prod(_u13815, _u13816), tc_HOL_Obool))), tc_fun(tc_fun(tc_prod(_u13815, _u13816), tc_HOL_Obool), tc_fun(_u13816, tc_fun(tc_prod(_u13815, _u13816), tc_HOL_Obool))), _u13815), c_COMBC(_u13816, tc_fun(tc_prod(_u13815, _u13816), tc_HOL_Obool), tc_fun(tc_prod(_u13815, _u13816), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13816, tc_prod(_u13815, _u13816)), tc_fun(_u13816, tc_fun(tc_fun(tc_prod(_u13815, _u13816), tc_HOL_Obool), tc_fun(tc_prod(_u13815, _u13816), tc_HOL_Obool))), _u13815), hAPP(c_COMBB(tc_prod(_u13815, _u13816), tc_fun(tc_fun(tc_prod(_u13815, _u13816), tc_HOL_Obool), tc_fun(tc_prod(_u13815, _u13816), tc_HOL_Obool)), _u13816), c_Set_Oinsert(tc_prod(_u13815, _u13816)))), c_Product__Type_OPair(_u13815, _u13816)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13815, _u13816), tc_HOL_Obool)))))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_finite__quotient ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_finite__quotient-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13819), _u13820)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13819, _u13819), tc_HOL_Obool)), _u13821), hAPP(hAPP(c_Product__Type_OSigma(_u13819, _u13819), _u13820), hAPP(c_COMBK(tc_fun(_u13819, tc_HOL_Obool), _u13819), _u13820)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u13819, tc_HOL_Obool)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u13819), _u13820), _u13821))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_setsum__mult__setsum__if__inj ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_setsum__mult__setsum__if__inj-1, axiom, ( ~class_Rings_Osemiring__0(_u13822) | ~c_Fun_Oinj__on(tc_prod(_u13823, _u13824), _u13822, hAPP(c_Product__Type_Oprod_Oprod__case(_u13823, _u13824, _u13822), hAPP(hAPP(c_COMBC(_u13823, tc_fun(_u13824, _u13822), tc_fun(_u13824, _u13822)), hAPP(hAPP(c_COMBB(tc_fun(_u13822, _u13822), tc_fun(tc_fun(_u13824, _u13822), tc_fun(_u13824, _u13822)), _u13823), c_COMBB(_u13822, _u13822, _u13824)), hAPP(hAPP(c_COMBB(_u13822, tc_fun(_u13822, _u13822), _u13823), c_Groups_Otimes__class_Otimes(_u13822)), _u13825))), _u13826)), hAPP(hAPP(c_Product__Type_OSigma(_u13823, _u13824), _u13827), hAPP(c_COMBK(tc_fun(_u13824, tc_HOL_Obool), _u13823), _u13828))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u13822), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13823, _u13822), _u13825), _u13827)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13824, _u13822), _u13826), _u13828)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13822, _u13822), c_Fun_Oid(_u13822)), hAPP(c_Set_OCollect(_u13822), hAPP(hAPP(c_COMBB(tc_fun(_u13823, tc_HOL_Obool), tc_HOL_Obool, _u13822), c_HOL_OEx(_u13823)), hAPP(hAPP(c_COMBB(tc_fun(_u13823, tc_fun(_u13824, tc_HOL_Obool)), tc_fun(_u13823, tc_HOL_Obool), _u13822), hAPP(c_COMBB(tc_fun(_u13824, tc_HOL_Obool), tc_HOL_Obool, _u13823), c_HOL_OEx(_u13824))), hAPP(hAPP(c_COMBC(_u13822, tc_fun(_u13823, tc_fun(_u13824, tc_HOL_Obool)), tc_fun(_u13823, tc_fun(_u13824, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13823, tc_fun(tc_fun(_u13824, tc_HOL_Obool), tc_fun(_u13824, tc_HOL_Obool))), tc_fun(tc_fun(_u13823, tc_fun(_u13824, tc_HOL_Obool)), tc_fun(_u13823, tc_fun(_u13824, tc_HOL_Obool))), _u13822), c_COMBS(_u13823, tc_fun(_u13824, tc_HOL_Obool), tc_fun(_u13824, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13823, tc_fun(_u13824, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u13823, tc_fun(tc_fun(_u13824, tc_HOL_Obool), tc_fun(_u13824, tc_HOL_Obool))), _u13822), hAPP(c_COMBB(tc_fun(_u13824, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u13824, tc_HOL_Obool), tc_fun(_u13824, tc_HOL_Obool)), _u13823), c_COMBS(_u13824, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13823, tc_fun(_u13824, tc_HOL_Obool)), tc_fun(_u13823, tc_fun(_u13824, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u13822), hAPP(c_COMBB(tc_fun(_u13824, tc_HOL_Obool), tc_fun(_u13824, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u13823), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13824), c_fconj))), hAPP(hAPP(c_COMBC(_u13822, tc_fun(_u13823, tc_fun(_u13824, _u13822)), tc_fun(_u13823, tc_fun(_u13824, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u13824, _u13822), tc_fun(_u13824, tc_HOL_Obool)), tc_fun(tc_fun(_u13823, tc_fun(_u13824, _u13822)), tc_fun(_u13823, tc_fun(_u13824, tc_HOL_Obool))), _u13822), c_COMBB(tc_fun(_u13824, _u13822), tc_fun(_u13824, tc_HOL_Obool), _u13823)), hAPP(hAPP(c_COMBB(tc_fun(_u13822, tc_HOL_Obool), tc_fun(tc_fun(_u13824, _u13822), tc_fun(_u13824, tc_HOL_Obool)), _u13822), c_COMBB(_u13822, tc_HOL_Obool, _u13824)), c_fequal))), hAPP(hAPP(c_COMBC(_u13823, tc_fun(_u13824, _u13822), tc_fun(_u13824, _u13822)), hAPP(hAPP(c_COMBB(tc_fun(_u13822, _u13822), tc_fun(tc_fun(_u13824, _u13822), tc_fun(_u13824, _u13822)), _u13823), c_COMBB(_u13822, _u13822, _u13824)), hAPP(hAPP(c_COMBB(_u13822, tc_fun(_u13822, _u13822), _u13823), c_Groups_Otimes__class_Otimes(_u13822)), _u13825))), _u13826)))))), hAPP(hAPP(c_COMBC(_u13823, tc_fun(_u13824, tc_HOL_Obool), tc_fun(_u13824, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13824, tc_HOL_Obool), tc_fun(_u13824, tc_HOL_Obool)), _u13823), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13824)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13823), c_fconj), hAPP(hAPP(c_COMBC(_u13823, tc_fun(_u13823, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13823)), _u13827)))), hAPP(hAPP(c_COMBC(_u13824, tc_fun(_u13824, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13824)), _u13828)))))))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_Ex__inj__on__UNION__Sigma ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_Ex__inj__on__UNION__Sigma-1, axiom, ( c_Fun_Oinj__on(_u13830, tc_prod(_u13831, _u13830), skolem305(_u13833, _u13832, _u13831, _u13830), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13831, tc_fun(_u13830, tc_HOL_Obool)), _u13832), _u13833)) )).
% 39.89/40.09 cnf(fact_Ex__inj__on__UNION__Sigma-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13831, _u13830), tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13830, tc_prod(_u13831, _u13830), skolem305(_u13833, _u13832, _u13831, _u13830)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13831, tc_fun(_u13830, tc_HOL_Obool)), _u13832), _u13833))), hAPP(hAPP(c_Product__Type_OSigma(_u13831, _u13830), _u13832), _u13833))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_fold__image__Sigma ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_fold__image__Sigma-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u13835) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13836), _u13837)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13835, _u13836, c_Groups_Otimes__class_Otimes(_u13835)), hAPP(hAPP(c_COMBS(_u13836, tc_fun(_u13838, tc_HOL_Obool), _u13835), hAPP(hAPP(c_COMBC(_u13836, _u13835, tc_fun(tc_fun(_u13838, tc_HOL_Obool), _u13835)), hAPP(hAPP(c_COMBB(tc_fun(_u13838, _u13835), tc_fun(_u13835, tc_fun(tc_fun(_u13838, tc_HOL_Obool), _u13835)), _u13836), c_Finite__Set_Ofold__image(_u13835, _u13838, c_Groups_Otimes__class_Otimes(_u13835))), _u13840)), c_Groups_Oone__class_Oone(_u13835))), _u13839)), c_Groups_Oone__class_Oone(_u13835)), _u13837) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13835, tc_prod(_u13836, _u13838), c_Groups_Otimes__class_Otimes(_u13835)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13836, _u13838, _u13835), _u13840)), c_Groups_Oone__class_Oone(_u13835)), hAPP(hAPP(c_Product__Type_OSigma(_u13836, _u13838), _u13837), _u13839))) | hBOOL(hAPP(hAPP(c_member(_u13836), skolem306(_u13840, _u13839, _u13838, _u13837, _u13836, _u13835)), _u13837)) )).
% 39.89/40.09 cnf(fact_fold__image__Sigma-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u13835) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13836), _u13837)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13835, _u13836, c_Groups_Otimes__class_Otimes(_u13835)), hAPP(hAPP(c_COMBS(_u13836, tc_fun(_u13838, tc_HOL_Obool), _u13835), hAPP(hAPP(c_COMBC(_u13836, _u13835, tc_fun(tc_fun(_u13838, tc_HOL_Obool), _u13835)), hAPP(hAPP(c_COMBB(tc_fun(_u13838, _u13835), tc_fun(_u13835, tc_fun(tc_fun(_u13838, tc_HOL_Obool), _u13835)), _u13836), c_Finite__Set_Ofold__image(_u13835, _u13838, c_Groups_Otimes__class_Otimes(_u13835))), _u13840)), c_Groups_Oone__class_Oone(_u13835))), _u13839)), c_Groups_Oone__class_Oone(_u13835)), _u13837) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13835, tc_prod(_u13836, _u13838), c_Groups_Otimes__class_Otimes(_u13835)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13836, _u13838, _u13835), _u13840)), c_Groups_Oone__class_Oone(_u13835)), hAPP(hAPP(c_Product__Type_OSigma(_u13836, _u13838), _u13837), _u13839))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13838), hAPP(_u13839, skolem306(_u13840, _u13839, _u13838, _u13837, _u13836, _u13835)))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_image__id ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_image__id-1, axiom, ( ( hAPP(c_Set_Oimage(_u13841, _u13841, c_Fun_Oid(_u13841)), _u13842) = _u13842) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_of__int__eq__id ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_of__int__eq__id-1, axiom, ( ( c_Int_Oring__1__class_Oof__int(tc_Int_Oint) = c_Fun_Oid(tc_Int_Oint)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_apsnd__id ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_apsnd__id-1, axiom, ( ( c_Product__Type_Oapsnd(_u13843, _u13843, _u13844, c_Fun_Oid(_u13843)) = c_Fun_Oid(tc_prod(_u13844, _u13843))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_id__o ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_id__o-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u13845, _u13845, _u13846, c_Fun_Oid(_u13845)), _u13847) = _u13847) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_o__id ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_o__id-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u13848, _u13849, _u13848, _u13850), c_Fun_Oid(_u13848)) = _u13850) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_o__eq__id__dest ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_o__eq__id__dest-1, axiom, ( ( hAPP(_u13854, hAPP(_u13855, _u13857)) = hAPP(_u13856, _u13857)) | ( hAPP(c_Fun_Ocomp(_u13851, _u13852, _u13853, _u13854), _u13855) != hAPP(c_Fun_Ocomp(_u13852, _u13852, _u13853, c_Fun_Oid(_u13852)), _u13856)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_vimage__id ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_vimage__id-1, axiom, ( ( hAPP(c_Set_Ovimage(_u13858, _u13858, c_Fun_Oid(_u13858)), _u13859) = _u13859) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_id__apply ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_id__apply-1, axiom, ( ( hAPP(c_Fun_Oid(_u13860), _u13861) = _u13861) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_id__def ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_id__def-1, axiom, ( ( hAPP(c_Fun_Oid(_u13862), _u13863) = _u13863) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_inj__on__id ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_inj__on__id-1, axiom, ( c_Fun_Oinj__on(_u13864, _u13864, c_Fun_Oid(_u13864), _u13865) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_apfst__id ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_apfst__id-1, axiom, ( ( c_Product__Type_Oapfst(_u13866, _u13866, _u13867, c_Fun_Oid(_u13866)) = c_Fun_Oid(tc_prod(_u13866, _u13867))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_surj__id ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_surj__id-1, axiom, ( ( hAPP(c_Set_Oimage(_u13868, _u13868, c_Fun_Oid(_u13868)), c_Orderings_Otop__class_Otop(tc_fun(_u13868, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u13868, tc_HOL_Obool))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_folding_Oempty ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_folding_Oempty-1, axiom, ( ~c_Finite__Set_Ofolding(_u13869, _u13870, _u13871, _u13872) | ( hAPP(_u13872, c_Orderings_Obot__class_Obot(tc_fun(_u13869, tc_HOL_Obool))) = c_Fun_Oid(_u13870)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_split__Pair ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_split__Pair-1, axiom, ( ( hAPP(c_Product__Type_Oprod_Oprod__case(_u13873, _u13874, tc_prod(_u13873, _u13874)), c_Product__Type_OPair(_u13873, _u13874)) = c_Fun_Oid(tc_prod(_u13873, _u13874))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_setsum__reindex__id ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_setsum__reindex__id-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u13875) | ~c_Fun_Oinj__on(_u13876, _u13875, _u13877, _u13878) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13876, _u13875), _u13877), _u13878) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13875, _u13875), c_Fun_Oid(_u13875)), hAPP(c_Set_Oimage(_u13876, _u13875, _u13877), _u13878))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_setprod__reindex__id ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_setprod__reindex__id-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u13879) | ~c_Fun_Oinj__on(_u13880, _u13879, _u13881, _u13882) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13880, _u13879), _u13881), _u13882) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13879, _u13879), c_Fun_Oid(_u13879)), hAPP(c_Set_Oimage(_u13880, _u13879, _u13881), _u13882))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_setprod__Sigma ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_setprod__Sigma-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u13884) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13885), _u13886)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13885, _u13884), hAPP(hAPP(c_COMBS(_u13885, tc_fun(_u13887, tc_HOL_Obool), _u13884), hAPP(hAPP(c_COMBB(tc_fun(_u13887, _u13884), tc_fun(tc_fun(_u13887, tc_HOL_Obool), _u13884), _u13885), c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13887, _u13884)), _u13889)), _u13888)), _u13886) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(_u13885, _u13887), _u13884), hAPP(c_Product__Type_Oprod_Oprod__case(_u13885, _u13887, _u13884), _u13889)), hAPP(hAPP(c_Product__Type_OSigma(_u13885, _u13887), _u13886), _u13888))) | hBOOL(hAPP(hAPP(c_member(_u13885), skolem307(_u13889, _u13888, _u13887, _u13886, _u13885, _u13884)), _u13886)) )).
% 39.89/40.09 cnf(fact_setprod__Sigma-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u13884) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13885), _u13886)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13885, _u13884), hAPP(hAPP(c_COMBS(_u13885, tc_fun(_u13887, tc_HOL_Obool), _u13884), hAPP(hAPP(c_COMBB(tc_fun(_u13887, _u13884), tc_fun(tc_fun(_u13887, tc_HOL_Obool), _u13884), _u13885), c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13887, _u13884)), _u13889)), _u13888)), _u13886) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(_u13885, _u13887), _u13884), hAPP(c_Product__Type_Oprod_Oprod__case(_u13885, _u13887, _u13884), _u13889)), hAPP(hAPP(c_Product__Type_OSigma(_u13885, _u13887), _u13886), _u13888))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13887), hAPP(_u13888, skolem307(_u13889, _u13888, _u13887, _u13886, _u13885, _u13884)))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_setsum__Sigma ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_setsum__Sigma-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u13891) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13892), _u13893)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13892, _u13891), hAPP(hAPP(c_COMBS(_u13892, tc_fun(_u13894, tc_HOL_Obool), _u13891), hAPP(hAPP(c_COMBB(tc_fun(_u13894, _u13891), tc_fun(tc_fun(_u13894, tc_HOL_Obool), _u13891), _u13892), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13894, _u13891)), _u13896)), _u13895)), _u13893) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(_u13892, _u13894), _u13891), hAPP(c_Product__Type_Oprod_Oprod__case(_u13892, _u13894, _u13891), _u13896)), hAPP(hAPP(c_Product__Type_OSigma(_u13892, _u13894), _u13893), _u13895))) | hBOOL(hAPP(hAPP(c_member(_u13892), skolem308(_u13896, _u13895, _u13894, _u13893, _u13892, _u13891)), _u13893)) )).
% 39.89/40.09 cnf(fact_setsum__Sigma-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u13891) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13892), _u13893)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13892, _u13891), hAPP(hAPP(c_COMBS(_u13892, tc_fun(_u13894, tc_HOL_Obool), _u13891), hAPP(hAPP(c_COMBB(tc_fun(_u13894, _u13891), tc_fun(tc_fun(_u13894, tc_HOL_Obool), _u13891), _u13892), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13894, _u13891)), _u13896)), _u13895)), _u13893) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(_u13892, _u13894), _u13891), hAPP(c_Product__Type_Oprod_Oprod__case(_u13892, _u13894, _u13891), _u13896)), hAPP(hAPP(c_Product__Type_OSigma(_u13892, _u13894), _u13893), _u13895))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13894), hAPP(_u13895, skolem308(_u13896, _u13895, _u13894, _u13893, _u13892, _u13891)))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_card__SigmaI ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_card__SigmaI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13898), _u13899)) | ( hAPP(c_Finite__Set_Ocard(tc_prod(_u13898, _u13900)), hAPP(hAPP(c_Product__Type_OSigma(_u13898, _u13900), _u13899), _u13901)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13898, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u13900, tc_HOL_Obool), tc_Nat_Onat, _u13898), c_Finite__Set_Ocard(_u13900)), _u13901)), _u13899)) | hBOOL(hAPP(hAPP(c_member(_u13898), skolem309(_u13901, _u13900, _u13899, _u13898)), _u13899)) )).
% 39.89/40.09 cnf(fact_card__SigmaI-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13898), _u13899)) | ( hAPP(c_Finite__Set_Ocard(tc_prod(_u13898, _u13900)), hAPP(hAPP(c_Product__Type_OSigma(_u13898, _u13900), _u13899), _u13901)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13898, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u13900, tc_HOL_Obool), tc_Nat_Onat, _u13898), c_Finite__Set_Ocard(_u13900)), _u13901)), _u13899)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13900), hAPP(_u13901, skolem309(_u13901, _u13900, _u13899, _u13898)))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_finite__SigmaI ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_finite__SigmaI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13903), _u13904)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13903, _u13905)), hAPP(hAPP(c_Product__Type_OSigma(_u13903, _u13905), _u13904), _u13906))) | hBOOL(hAPP(hAPP(c_member(_u13903), skolem310(_u13906, _u13905, _u13904, _u13903)), _u13904)) )).
% 39.89/40.09 cnf(fact_finite__SigmaI-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13903), _u13904)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13903, _u13905)), hAPP(hAPP(c_Product__Type_OSigma(_u13903, _u13905), _u13904), _u13906))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13905), hAPP(_u13906, skolem310(_u13906, _u13905, _u13904, _u13903)))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_SigmaE ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_SigmaE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13909, _u13910)), _u13911), hAPP(hAPP(c_Product__Type_OSigma(_u13909, _u13910), _u13912), _u13913))) | hBOOL(hAPP(hAPP(c_member(_u13909), skolem311(_u13913, _u13912, _u13911, _u13910, _u13909)), _u13912)) )).
% 39.89/40.09 cnf(fact_SigmaE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13909, _u13910)), _u13911), hAPP(hAPP(c_Product__Type_OSigma(_u13909, _u13910), _u13912), _u13913))) | hBOOL(hAPP(hAPP(c_member(_u13910), skolem312(_u13913, _u13912, _u13911, _u13910, _u13909)), hAPP(_u13913, skolem311(_u13913, _u13912, _u13911, _u13910, _u13909)))) )).
% 39.89/40.09 cnf(fact_SigmaE-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13909, _u13910)), _u13911), hAPP(hAPP(c_Product__Type_OSigma(_u13909, _u13910), _u13912), _u13913))) | ( _u13911 = hAPP(hAPP(c_Product__Type_OPair(_u13909, _u13910), skolem311(_u13913, _u13912, _u13911, _u13910, _u13909)), skolem312(_u13913, _u13912, _u13911, _u13910, _u13909))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_map__pair__surj ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_map__pair__surj-1, axiom, ( ( hAPP(c_Set_Oimage(_u13914, _u13915, _u13916), c_Orderings_Otop__class_Otop(tc_fun(_u13914, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u13915, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u13917, _u13918, _u13919), c_Orderings_Otop__class_Otop(tc_fun(_u13917, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u13918, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u13914, _u13917), tc_prod(_u13915, _u13918), c_Product__Type_Omap__pair(_u13914, _u13915, _u13917, _u13918, _u13916, _u13919)), c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u13914, _u13917), tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u13915, _u13918), tc_HOL_Obool))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_map__pair__imageI ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_map__pair__imageI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13920, _u13921)), hAPP(hAPP(c_Product__Type_OPair(_u13920, _u13921), _u13922), _u13923)), _u13924)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13925, _u13926)), hAPP(hAPP(c_Product__Type_OPair(_u13925, _u13926), hAPP(_u13927, _u13922)), hAPP(_u13928, _u13923))), hAPP(c_Set_Oimage(tc_prod(_u13920, _u13921), tc_prod(_u13925, _u13926), c_Product__Type_Omap__pair(_u13920, _u13925, _u13921, _u13926, _u13927, _u13928)), _u13924))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_snd__prod__fun ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_snd__prod__fun-1, axiom, ( ( hAPP(c_Product__Type_Osnd(_u13929, _u13930), hAPP(c_Product__Type_Omap__pair(_u13931, _u13929, _u13932, _u13930, _u13933, _u13934), _u13935)) = hAPP(_u13934, hAPP(c_Product__Type_Osnd(_u13931, _u13932), _u13935))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_fst__map__pair ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_fst__map__pair-1, axiom, ( ( hAPP(c_Product__Type_Ofst(_u13936, _u13937), hAPP(c_Product__Type_Omap__pair(_u13938, _u13936, _u13939, _u13937, _u13940, _u13941), _u13942)) = hAPP(_u13940, hAPP(c_Product__Type_Ofst(_u13938, _u13939), _u13942))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_map__pair__simp ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_map__pair__simp-1, axiom, ( ( hAPP(c_Product__Type_Omap__pair(_u13943, _u13944, _u13945, _u13946, _u13947, _u13948), hAPP(hAPP(c_Product__Type_OPair(_u13943, _u13945), _u13949), _u13950)) = hAPP(hAPP(c_Product__Type_OPair(_u13944, _u13946), hAPP(_u13947, _u13949)), hAPP(_u13948, _u13950))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_map__pair__ident ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_map__pair__ident-1, axiom, ( ( hAPP(c_Product__Type_Omap__pair(_u13951, _u13951, _u13952, _u13952, c_COMBI(_u13951), c_COMBI(_u13952)), _u13953) = _u13953) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_map__pair_Ocompositionality ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_map__pair_Ocompositionality-1, axiom, ( ( hAPP(c_Product__Type_Omap__pair(_u13954, _u13955, _u13956, _u13957, _u13958, _u13959), hAPP(c_Product__Type_Omap__pair(_u13960, _u13954, _u13961, _u13956, _u13962, _u13963), _u13964)) = hAPP(c_Product__Type_Omap__pair(_u13960, _u13955, _u13961, _u13957, hAPP(c_Fun_Ocomp(_u13954, _u13955, _u13960, _u13958), _u13962), hAPP(c_Fun_Ocomp(_u13956, _u13957, _u13961, _u13959), _u13963)), _u13964)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_map__pair__compose ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_map__pair__compose-1, axiom, ( ( c_Product__Type_Omap__pair(_u13965, _u13966, _u13967, _u13968, hAPP(c_Fun_Ocomp(_u13969, _u13966, _u13965, _u13970), _u13971), hAPP(c_Fun_Ocomp(_u13972, _u13968, _u13967, _u13973), _u13974)) = hAPP(c_Fun_Ocomp(tc_prod(_u13969, _u13972), tc_prod(_u13966, _u13968), tc_prod(_u13965, _u13967), c_Product__Type_Omap__pair(_u13969, _u13966, _u13972, _u13968, _u13970, _u13973)), c_Product__Type_Omap__pair(_u13965, _u13969, _u13967, _u13972, _u13971, _u13974))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_map__pair_Ocomp ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_map__pair_Ocomp-1, axiom, ( ( hAPP(c_Fun_Ocomp(tc_prod(_u13975, _u13976), tc_prod(_u13977, _u13978), tc_prod(_u13979, _u13980), c_Product__Type_Omap__pair(_u13975, _u13977, _u13976, _u13978, _u13981, _u13982)), c_Product__Type_Omap__pair(_u13979, _u13975, _u13980, _u13976, _u13983, _u13984)) = c_Product__Type_Omap__pair(_u13979, _u13977, _u13980, _u13978, hAPP(c_Fun_Ocomp(_u13975, _u13977, _u13979, _u13981), _u13983), hAPP(c_Fun_Ocomp(_u13976, _u13978, _u13980, _u13982), _u13984))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_fst__comp__map__pair ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_fst__comp__map__pair-1, axiom, ( ( hAPP(c_Fun_Ocomp(tc_prod(_u13985, _u13986), _u13985, tc_prod(_u13987, _u13988), c_Product__Type_Ofst(_u13985, _u13986)), c_Product__Type_Omap__pair(_u13987, _u13985, _u13988, _u13986, _u13989, _u13990)) = hAPP(c_Fun_Ocomp(_u13987, _u13985, tc_prod(_u13987, _u13988), _u13989), c_Product__Type_Ofst(_u13987, _u13988))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_snd__comp__map__pair ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_snd__comp__map__pair-1, axiom, ( ( hAPP(c_Fun_Ocomp(tc_prod(_u13991, _u13992), _u13992, tc_prod(_u13993, _u13994), c_Product__Type_Osnd(_u13991, _u13992)), c_Product__Type_Omap__pair(_u13993, _u13991, _u13994, _u13992, _u13995, _u13996)) = hAPP(c_Fun_Ocomp(_u13994, _u13992, tc_prod(_u13993, _u13994), _u13996), c_Product__Type_Osnd(_u13993, _u13994))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_map__pair_Oidentity ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_map__pair_Oidentity-1, axiom, ( ( c_Product__Type_Omap__pair(_u13997, _u13997, _u13998, _u13998, c_COMBI(_u13997), c_COMBI(_u13998)) = c_Fun_Oid(tc_prod(_u13997, _u13998))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_apsnd__def ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_apsnd__def-1, axiom, ( ( c_Product__Type_Oapsnd(_u13999, _u14000, _u14001, _u14002) = c_Product__Type_Omap__pair(_u14001, _u14001, _u13999, _u14000, c_Fun_Oid(_u14001), _u14002)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_apfst__def ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_apfst__def-1, axiom, ( ( c_Product__Type_Oapfst(_u14003, _u14004, _u14005, _u14006) = c_Product__Type_Omap__pair(_u14003, _u14004, _u14005, _u14005, _u14006, c_Fun_Oid(_u14005))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_map__pair_Oid ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_map__pair_Oid-1, axiom, ( ( c_Product__Type_Omap__pair(_u14007, _u14007, _u14008, _u14008, c_Fun_Oid(_u14007), c_Fun_Oid(_u14008)) = c_Fun_Oid(tc_prod(_u14007, _u14008))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_map__pair__def ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_map__pair__def-1, axiom, ( ( c_Product__Type_Omap__pair(_u14009, _u14010, _u14011, _u14012, _u14013, _u14014) = hAPP(c_Product__Type_Oprod_Oprod__case(_u14009, _u14011, tc_prod(_u14010, _u14012)), hAPP(hAPP(c_COMBC(_u14009, tc_fun(_u14011, _u14012), tc_fun(_u14011, tc_prod(_u14010, _u14012))), hAPP(hAPP(c_COMBB(tc_fun(_u14012, tc_prod(_u14010, _u14012)), tc_fun(tc_fun(_u14011, _u14012), tc_fun(_u14011, tc_prod(_u14010, _u14012))), _u14009), c_COMBB(_u14012, tc_prod(_u14010, _u14012), _u14011)), hAPP(hAPP(c_COMBB(_u14010, tc_fun(_u14012, tc_prod(_u14010, _u14012)), _u14009), c_Product__Type_OPair(_u14010, _u14012)), _u14013))), _u14014))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_map__pair__surj__on ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_map__pair__surj__on-1, axiom, ( ( hAPP(c_Set_Oimage(_u14015, _u14016, _u14017), _u14018) != _u14019) | ( hAPP(c_Set_Oimage(_u14020, _u14021, _u14022), _u14023) != _u14024) | ( hAPP(c_Set_Oimage(tc_prod(_u14015, _u14020), tc_prod(_u14016, _u14021), c_Product__Type_Omap__pair(_u14015, _u14016, _u14020, _u14021, _u14017, _u14022)), hAPP(hAPP(c_Product__Type_OSigma(_u14015, _u14020), _u14018), hAPP(c_COMBK(tc_fun(_u14020, tc_HOL_Obool), _u14015), _u14023))) = hAPP(hAPP(c_Product__Type_OSigma(_u14016, _u14021), _u14019), hAPP(c_COMBK(tc_fun(_u14021, tc_HOL_Obool), _u14016), _u14024))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_wf__map__pair__image ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_wf__map__pair__image-1, axiom, ( ~c_Wellfounded_Owf(_u14025, _u14026) | ~c_Fun_Oinj__on(_u14025, _u14027, _u14028, c_Orderings_Otop__class_Otop(tc_fun(_u14025, tc_HOL_Obool))) | c_Wellfounded_Owf(_u14027, hAPP(c_Set_Oimage(tc_prod(_u14025, _u14025), tc_prod(_u14027, _u14027), c_Product__Type_Omap__pair(_u14025, _u14027, _u14025, _u14027, _u14028, _u14028)), _u14026)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_map__pair__inj__on ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_map__pair__inj__on-1, axiom, ( ~c_Fun_Oinj__on(_u14029, _u14030, _u14031, _u14032) | ~c_Fun_Oinj__on(_u14033, _u14034, _u14035, _u14036) | c_Fun_Oinj__on(tc_prod(_u14029, _u14033), tc_prod(_u14030, _u14034), c_Product__Type_Omap__pair(_u14029, _u14030, _u14033, _u14034, _u14031, _u14035), hAPP(hAPP(c_Product__Type_OSigma(_u14029, _u14033), _u14032), hAPP(c_COMBK(tc_fun(_u14033, tc_HOL_Obool), _u14029), _u14036))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_prod__fun__imageE ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_prod__fun__imageE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14039, _u14040)), _u14041), hAPP(c_Set_Oimage(tc_prod(_u14042, _u14043), tc_prod(_u14039, _u14040), c_Product__Type_Omap__pair(_u14042, _u14039, _u14043, _u14040, _u14044, _u14045)), _u14046))) | ( _u14041 = hAPP(hAPP(c_Product__Type_OPair(_u14039, _u14040), hAPP(_u14044, skolem313(_u14046, _u14045, _u14044, _u14043, _u14042, _u14041, _u14040, _u14039))), hAPP(_u14045, skolem314(_u14046, _u14045, _u14044, _u14043, _u14042, _u14041, _u14040, _u14039)))) )).
% 39.89/40.09 cnf(fact_prod__fun__imageE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14039, _u14040)), _u14041), hAPP(c_Set_Oimage(tc_prod(_u14042, _u14043), tc_prod(_u14039, _u14040), c_Product__Type_Omap__pair(_u14042, _u14039, _u14043, _u14040, _u14044, _u14045)), _u14046))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14042, _u14043)), hAPP(hAPP(c_Product__Type_OPair(_u14042, _u14043), skolem313(_u14046, _u14045, _u14044, _u14043, _u14042, _u14041, _u14040, _u14039)), skolem314(_u14046, _u14045, _u14044, _u14043, _u14042, _u14041, _u14040, _u14039))), _u14046)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_refl__on__def ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_refl__on__def-1, axiom, ( ~c_Relation_Orefl__on(_u14052, _u14054, _u14056) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14052, _u14052), tc_HOL_Obool)), _u14056), hAPP(hAPP(c_Product__Type_OSigma(_u14052, _u14052), _u14054), hAPP(c_COMBK(tc_fun(_u14052, tc_HOL_Obool), _u14052), _u14054)))) )).
% 39.89/40.09 cnf(fact_refl__on__def-2, axiom, ( ~c_Relation_Orefl__on(_u14052, _u14054, _u14056) | ~hBOOL(hAPP(hAPP(c_member(_u14052), _u14047), _u14054)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14052, _u14052)), hAPP(hAPP(c_Product__Type_OPair(_u14052, _u14052), _u14047), _u14047)), _u14056)) )).
% 39.89/40.09 cnf(fact_refl__on__def-3, axiom, ( c_Relation_Orefl__on(_u14053, _u14055, _u14057) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14053, _u14053), tc_HOL_Obool)), _u14057), hAPP(hAPP(c_Product__Type_OSigma(_u14053, _u14053), _u14055), hAPP(c_COMBK(tc_fun(_u14053, tc_HOL_Obool), _u14053), _u14055)))) | hBOOL(hAPP(hAPP(c_member(_u14053), skolem315(_u14057, _u14055, _u14053)), _u14055)) )).
% 39.89/40.09 cnf(fact_refl__on__def-4, axiom, ( c_Relation_Orefl__on(_u14053, _u14055, _u14057) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14053, _u14053), tc_HOL_Obool)), _u14057), hAPP(hAPP(c_Product__Type_OSigma(_u14053, _u14053), _u14055), hAPP(c_COMBK(tc_fun(_u14053, tc_HOL_Obool), _u14053), _u14055)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14053, _u14053)), hAPP(hAPP(c_Product__Type_OPair(_u14053, _u14053), skolem315(_u14057, _u14055, _u14053)), skolem315(_u14057, _u14055, _u14053))), _u14057)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_int__val__lemma ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_int__val__lemma-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem316(_u14062, _u14061, _u14060)), _u14060)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u14061, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u14062)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u14062), hAPP(_u14061, _u14060))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem317(_u14062, _u14061, _u14060)), _u14060)) )).
% 39.89/40.09 cnf(fact_int__val__lemma-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem316(_u14062, _u14061, _u14060)), _u14060)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u14061, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u14062)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u14062), hAPP(_u14061, _u14060))) | ( hAPP(_u14061, skolem317(_u14062, _u14061, _u14060)) = _u14062) )).
% 39.89/40.09 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(_u14061, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem316(_u14062, _u14061, _u14060)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u14061, skolem316(_u14062, _u14061, _u14060))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u14061, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u14062)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u14062), hAPP(_u14061, _u14060))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem317(_u14062, _u14061, _u14060)), _u14060)) )).
% 39.89/40.09 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(_u14061, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem316(_u14062, _u14061, _u14060)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u14061, skolem316(_u14062, _u14061, _u14060))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u14061, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u14062)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u14062), hAPP(_u14061, _u14060))) | ( hAPP(_u14061, skolem317(_u14062, _u14061, _u14060)) = _u14062) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_refl__on__Id__on ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_refl__on__Id__on-1, axiom, ( c_Relation_Orefl__on(_u14063, _u14064, c_Relation_OId__on(_u14063, _u14064)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_refl__on__empty ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_refl__on__empty-1, axiom, ( c_Relation_Orefl__on(_u14065, c_Orderings_Obot__class_Obot(tc_fun(_u14065, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14065, _u14065), tc_HOL_Obool))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_refl__on__Un ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_refl__on__Un-1, axiom, ( ~c_Relation_Orefl__on(_u14066, _u14067, _u14068) | ~c_Relation_Orefl__on(_u14066, _u14069, _u14070) | c_Relation_Orefl__on(_u14066, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14066, tc_HOL_Obool)), _u14067), _u14069), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14066, _u14066), tc_HOL_Obool)), _u14068), _u14070)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_refl__on__Int ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_refl__on__Int-1, axiom, ( ~c_Relation_Orefl__on(_u14071, _u14072, _u14073) | ~c_Relation_Orefl__on(_u14071, _u14074, _u14075) | c_Relation_Orefl__on(_u14071, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14071, tc_HOL_Obool)), _u14072), _u14074), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u14071, _u14071), tc_HOL_Obool)), _u14073), _u14075)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_refl__onD2 ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_refl__onD2-1, axiom, ( ~c_Relation_Orefl__on(_u14076, _u14077, _u14078) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14076, _u14076)), hAPP(hAPP(c_Product__Type_OPair(_u14076, _u14076), _u14079), _u14080)), _u14078)) | hBOOL(hAPP(hAPP(c_member(_u14076), _u14080), _u14077)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_refl__onD1 ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_refl__onD1-1, axiom, ( ~c_Relation_Orefl__on(_u14081, _u14082, _u14083) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14081, _u14081)), hAPP(hAPP(c_Product__Type_OPair(_u14081, _u14081), _u14084), _u14085)), _u14083)) | hBOOL(hAPP(hAPP(c_member(_u14081), _u14084), _u14082)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_refl__onD ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_refl__onD-1, axiom, ( ~c_Relation_Orefl__on(_u14086, _u14087, _u14088) | ~hBOOL(hAPP(hAPP(c_member(_u14086), _u14089), _u14087)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14086, _u14086)), hAPP(hAPP(c_Product__Type_OPair(_u14086, _u14086), _u14089), _u14089)), _u14088)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_reflp__def ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_reflp__def-1, axiom, ( ~c_Predicate_Oreflp(_u14092, _u14094) | c_Relation_Orefl__on(_u14092, c_Orderings_Otop__class_Otop(tc_fun(_u14092, tc_HOL_Obool)), hAPP(c_Set_OCollect(tc_prod(_u14092, _u14092)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14092, _u14092, tc_HOL_Obool), _u14094))) )).
% 39.89/40.09 cnf(fact_reflp__def-2, axiom, ( ~c_Relation_Orefl__on(_u14093, c_Orderings_Otop__class_Otop(tc_fun(_u14093, tc_HOL_Obool)), hAPP(c_Set_OCollect(tc_prod(_u14093, _u14093)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14093, _u14093, tc_HOL_Obool), _u14095))) | c_Predicate_Oreflp(_u14093, _u14095) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_refl__onI ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_refl__onI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14097, _u14097), tc_HOL_Obool)), _u14098), hAPP(hAPP(c_Product__Type_OSigma(_u14097, _u14097), _u14099), hAPP(c_COMBK(tc_fun(_u14097, tc_HOL_Obool), _u14097), _u14099)))) | c_Relation_Orefl__on(_u14097, _u14099, _u14098) | hBOOL(hAPP(hAPP(c_member(_u14097), skolem318(_u14099, _u14098, _u14097)), _u14099)) )).
% 39.89/40.09 cnf(fact_refl__onI-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14097, _u14097), tc_HOL_Obool)), _u14098), hAPP(hAPP(c_Product__Type_OSigma(_u14097, _u14097), _u14099), hAPP(c_COMBK(tc_fun(_u14097, tc_HOL_Obool), _u14097), _u14099)))) | c_Relation_Orefl__on(_u14097, _u14099, _u14098) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14097, _u14097)), hAPP(hAPP(c_Product__Type_OPair(_u14097, _u14097), skolem318(_u14099, _u14098, _u14097)), skolem318(_u14099, _u14098, _u14097))), _u14098)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_fold1__Un ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_fold1__Un-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u14100) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14100), _u14101)) | ( _u14101 = c_Orderings_Obot__class_Obot(tc_fun(_u14100, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14100), _u14102)) | ( _u14102 = c_Orderings_Obot__class_Obot(tc_fun(_u14100, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14100, tc_HOL_Obool)), _u14101), _u14102) != c_Orderings_Obot__class_Obot(tc_fun(_u14100, tc_HOL_Obool))) | ( hAPP(c_Finite__Set_Ofold1(_u14100, c_Groups_Otimes__class_Otimes(_u14100)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14100, tc_HOL_Obool)), _u14101), _u14102)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u14100), hAPP(c_Finite__Set_Ofold1(_u14100, c_Groups_Otimes__class_Otimes(_u14100)), _u14101)), hAPP(c_Finite__Set_Ofold1(_u14100, c_Groups_Otimes__class_Otimes(_u14100)), _u14102))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_reflpE ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_reflpE-1, axiom, ( hBOOL(hAPP(hAPP(_u14104, _u14105), _u14105)) | ~c_Predicate_Oreflp(_u14103, _u14104) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_fold1__singleton__def ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_fold1__singleton__def-1, axiom, ( ( _u14106 != c_Finite__Set_Ofold1(_u14107, _u14108)) | ( hAPP(_u14106, hAPP(hAPP(c_Set_Oinsert(_u14107), _u14109), c_Orderings_Obot__class_Obot(tc_fun(_u14107, tc_HOL_Obool)))) = _u14109) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_fold1__singleton ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_fold1__singleton-1, axiom, ( ( hAPP(c_Finite__Set_Ofold1(_u14110, _u14111), hAPP(hAPP(c_Set_Oinsert(_u14110), _u14112), c_Orderings_Obot__class_Obot(tc_fun(_u14110, tc_HOL_Obool)))) = _u14112) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_folding__one_Oeq__fold ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_folding__one_Oeq__fold-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u14113, _u14114, _u14115) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14113), _u14116)) | ( hAPP(_u14115, _u14116) = hAPP(c_Finite__Set_Ofold1(_u14113, _u14114), _u14116)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_fold1__def ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_fold1__def-1, axiom, ( ( hAPP(c_Finite__Set_Ofold1(_u14117, _u14118), _u14119) = c_HOL_OThe(_u14117, c_Finite__Set_Ofold1Set(_u14117, _u14118, _u14119))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_Sup__fin_OF__eq ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_Sup__fin_OF__eq-1, axiom, ( ~class_Lattices_Olattice(_u14120) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14120), _u14121)) | ( c_Big__Operators_Olattice__class_OSup__fin(_u14120, _u14121) = hAPP(c_Finite__Set_Ofold1(_u14120, c_Lattices_Osemilattice__sup__class_Osup(_u14120)), _u14121)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_Inf__fin_OF__eq ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_Inf__fin_OF__eq-1, axiom, ( ~class_Lattices_Olattice(_u14122) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14122), _u14123)) | ( c_Big__Operators_Olattice__class_OInf__fin(_u14122, _u14123) = hAPP(c_Finite__Set_Ofold1(_u14122, c_Lattices_Osemilattice__inf__class_Oinf(_u14122)), _u14123)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_Min_OF__eq ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_Min_OF__eq-1, axiom, ( ~class_Orderings_Olinorder(_u14124) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14124), _u14125)) | ( c_Big__Operators_Olinorder__class_OMin(_u14124, _u14125) = hAPP(c_Finite__Set_Ofold1(_u14124, c_Orderings_Oord__class_Omin(_u14124)), _u14125)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_Max_OF__eq ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_Max_OF__eq-1, axiom, ( ~class_Orderings_Olinorder(_u14126) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14126), _u14127)) | ( c_Big__Operators_Olinorder__class_OMax(_u14126, _u14127) = hAPP(c_Finite__Set_Ofold1(_u14126, c_Orderings_Oord__class_Omax(_u14126)), _u14127)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_min__max_OInf__fin_OF__eq ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_min__max_OInf__fin_OF__eq-1, axiom, ( ~class_Orderings_Olinorder(_u14128) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14128), _u14129)) | ( c_Big__Operators_Olattice_OInf__fin(_u14128, c_Orderings_Oord__class_Omin(_u14128), _u14129) = hAPP(c_Finite__Set_Ofold1(_u14128, c_Orderings_Oord__class_Omin(_u14128)), _u14129)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_min__max_OSup__fin_OF__eq ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_min__max_OSup__fin_OF__eq-1, axiom, ( ~class_Orderings_Olinorder(_u14130) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14130), _u14131)) | ( c_Big__Operators_Olattice_OSup__fin(_u14130, c_Orderings_Oord__class_Omax(_u14130), _u14131) = hAPP(c_Finite__Set_Ofold1(_u14130, c_Orderings_Oord__class_Omax(_u14130)), _u14131)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_fold1__belowI ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_fold1__belowI-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u14132) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14132), _u14133)) | ~hBOOL(hAPP(hAPP(c_member(_u14132), _u14134), _u14133)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14132), hAPP(c_Finite__Set_Ofold1(_u14132, c_Lattices_Osemilattice__inf__class_Oinf(_u14132)), _u14133)), _u14134)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_below__fold1__iff ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_below__fold1__iff-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u14137) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14137), _u14138)) | ( _u14138 = c_Orderings_Obot__class_Obot(tc_fun(_u14137, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14137), _u14139), hAPP(c_Finite__Set_Ofold1(_u14137, c_Lattices_Osemilattice__inf__class_Oinf(_u14137)), _u14138))) | ~hBOOL(hAPP(hAPP(c_member(_u14137), _u14135), _u14138)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14137), _u14139), _u14135)) )).
% 39.89/40.09 cnf(fact_below__fold1__iff-2, axiom, ( ~class_Lattices_Osemilattice__inf(_u14137) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14137), _u14138)) | ( _u14138 = c_Orderings_Obot__class_Obot(tc_fun(_u14137, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14137), _u14139), hAPP(c_Finite__Set_Ofold1(_u14137, c_Lattices_Osemilattice__inf__class_Oinf(_u14137)), _u14138))) | hBOOL(hAPP(hAPP(c_member(_u14137), skolem319(_u14139, _u14138, _u14137)), _u14138)) )).
% 39.89/40.09 cnf(fact_below__fold1__iff-3, axiom, ( ~class_Lattices_Osemilattice__inf(_u14137) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14137), _u14138)) | ( _u14138 = c_Orderings_Obot__class_Obot(tc_fun(_u14137, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14137), _u14139), hAPP(c_Finite__Set_Ofold1(_u14137, c_Lattices_Osemilattice__inf__class_Oinf(_u14137)), _u14138))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14137), _u14139), skolem319(_u14139, _u14138, _u14137))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_min__max_Ofold1__belowI ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_min__max_Ofold1__belowI-1, axiom, ( ~class_Orderings_Olinorder(_u14140) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14140), _u14141)) | ~hBOOL(hAPP(hAPP(c_member(_u14140), _u14142), _u14141)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14140), hAPP(c_Finite__Set_Ofold1(_u14140, c_Orderings_Oord__class_Omin(_u14140)), _u14141)), _u14142)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_fold1__insert__idem ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_fold1__insert__idem-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u14143) | ( _u14144 = c_Orderings_Obot__class_Obot(tc_fun(_u14143, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14143), _u14144)) | ( hAPP(c_Finite__Set_Ofold1(_u14143, c_Groups_Otimes__class_Otimes(_u14143)), hAPP(hAPP(c_Set_Oinsert(_u14143), _u14145), _u14144)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u14143), _u14145), hAPP(c_Finite__Set_Ofold1(_u14143, c_Groups_Otimes__class_Otimes(_u14143)), _u14144))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_min__max_Obelow__fold1__iff ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_min__max_Obelow__fold1__iff-1, axiom, ( ~class_Orderings_Olinorder(_u14148) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14148), _u14149)) | ( _u14149 = c_Orderings_Obot__class_Obot(tc_fun(_u14148, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14148), _u14150), hAPP(c_Finite__Set_Ofold1(_u14148, c_Orderings_Oord__class_Omin(_u14148)), _u14149))) | ~hBOOL(hAPP(hAPP(c_member(_u14148), _u14146), _u14149)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14148), _u14150), _u14146)) )).
% 39.89/40.09 cnf(fact_min__max_Obelow__fold1__iff-2, axiom, ( ~class_Orderings_Olinorder(_u14148) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14148), _u14149)) | ( _u14149 = c_Orderings_Obot__class_Obot(tc_fun(_u14148, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14148), _u14150), hAPP(c_Finite__Set_Ofold1(_u14148, c_Orderings_Oord__class_Omin(_u14148)), _u14149))) | hBOOL(hAPP(hAPP(c_member(_u14148), skolem320(_u14150, _u14149, _u14148)), _u14149)) )).
% 39.89/40.09 cnf(fact_min__max_Obelow__fold1__iff-3, axiom, ( ~class_Orderings_Olinorder(_u14148) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14148), _u14149)) | ( _u14149 = c_Orderings_Obot__class_Obot(tc_fun(_u14148, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14148), _u14150), hAPP(c_Finite__Set_Ofold1(_u14148, c_Orderings_Oord__class_Omin(_u14148)), _u14149))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14148), _u14150), skolem320(_u14150, _u14149, _u14148))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_fold1__below__iff ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_fold1__below__iff-1, axiom, ( ~class_Orderings_Olinorder(_u14153) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14153), _u14154)) | ( _u14154 = c_Orderings_Obot__class_Obot(tc_fun(_u14153, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14153), hAPP(c_Finite__Set_Ofold1(_u14153, c_Orderings_Oord__class_Omin(_u14153)), _u14154)), _u14155)) | hBOOL(hAPP(hAPP(c_member(_u14153), skolem321(_u14155, _u14154, _u14153)), _u14154)) )).
% 39.89/40.09 cnf(fact_fold1__below__iff-2, axiom, ( ~class_Orderings_Olinorder(_u14153) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14153), _u14154)) | ( _u14154 = c_Orderings_Obot__class_Obot(tc_fun(_u14153, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14153), hAPP(c_Finite__Set_Ofold1(_u14153, c_Orderings_Oord__class_Omin(_u14153)), _u14154)), _u14155)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14153), skolem321(_u14155, _u14154, _u14153)), _u14155)) )).
% 39.89/40.09 cnf(fact_fold1__below__iff-3, axiom, ( ~class_Orderings_Olinorder(_u14153) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14153), _u14154)) | ( _u14154 = c_Orderings_Obot__class_Obot(tc_fun(_u14153, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u14153), _u14152), _u14154)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14153), _u14152), _u14155)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14153), hAPP(c_Finite__Set_Ofold1(_u14153, c_Orderings_Oord__class_Omin(_u14153)), _u14154)), _u14155)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_fold1__Un2 ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_fold1__Un2-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u14156) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14156), _u14157)) | ( _u14157 = c_Orderings_Obot__class_Obot(tc_fun(_u14156, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14156), _u14158)) | ( _u14158 = c_Orderings_Obot__class_Obot(tc_fun(_u14156, tc_HOL_Obool))) | ( hAPP(c_Finite__Set_Ofold1(_u14156, c_Groups_Otimes__class_Otimes(_u14156)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14156, tc_HOL_Obool)), _u14157), _u14158)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u14156), hAPP(c_Finite__Set_Ofold1(_u14156, c_Groups_Otimes__class_Otimes(_u14156)), _u14157)), hAPP(c_Finite__Set_Ofold1(_u14156, c_Groups_Otimes__class_Otimes(_u14156)), _u14158))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_fold1__strict__below__iff ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_fold1__strict__below__iff-1, axiom, ( ~class_Orderings_Olinorder(_u14161) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14161), _u14162)) | ( _u14162 = c_Orderings_Obot__class_Obot(tc_fun(_u14161, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14161), hAPP(c_Finite__Set_Ofold1(_u14161, c_Orderings_Oord__class_Omin(_u14161)), _u14162)), _u14163)) | hBOOL(hAPP(hAPP(c_member(_u14161), skolem322(_u14163, _u14162, _u14161)), _u14162)) )).
% 39.89/40.09 cnf(fact_fold1__strict__below__iff-2, axiom, ( ~class_Orderings_Olinorder(_u14161) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14161), _u14162)) | ( _u14162 = c_Orderings_Obot__class_Obot(tc_fun(_u14161, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14161), hAPP(c_Finite__Set_Ofold1(_u14161, c_Orderings_Oord__class_Omin(_u14161)), _u14162)), _u14163)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14161), skolem322(_u14163, _u14162, _u14161)), _u14163)) )).
% 39.89/40.09 cnf(fact_fold1__strict__below__iff-3, axiom, ( ~class_Orderings_Olinorder(_u14161) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14161), _u14162)) | ( _u14162 = c_Orderings_Obot__class_Obot(tc_fun(_u14161, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u14161), _u14160), _u14162)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14161), _u14160), _u14163)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14161), hAPP(c_Finite__Set_Ofold1(_u14161, c_Orderings_Oord__class_Omin(_u14161)), _u14162)), _u14163)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_strict__below__fold1__iff ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_strict__below__fold1__iff-1, axiom, ( ~class_Orderings_Olinorder(_u14166) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14166), _u14167)) | ( _u14167 = c_Orderings_Obot__class_Obot(tc_fun(_u14166, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14166), _u14168), hAPP(c_Finite__Set_Ofold1(_u14166, c_Orderings_Oord__class_Omin(_u14166)), _u14167))) | ~hBOOL(hAPP(hAPP(c_member(_u14166), _u14164), _u14167)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14166), _u14168), _u14164)) )).
% 39.89/40.09 cnf(fact_strict__below__fold1__iff-2, axiom, ( ~class_Orderings_Olinorder(_u14166) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14166), _u14167)) | ( _u14167 = c_Orderings_Obot__class_Obot(tc_fun(_u14166, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14166), _u14168), hAPP(c_Finite__Set_Ofold1(_u14166, c_Orderings_Oord__class_Omin(_u14166)), _u14167))) | hBOOL(hAPP(hAPP(c_member(_u14166), skolem323(_u14168, _u14167, _u14166)), _u14167)) )).
% 39.89/40.09 cnf(fact_strict__below__fold1__iff-3, axiom, ( ~class_Orderings_Olinorder(_u14166) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14166), _u14167)) | ( _u14167 = c_Orderings_Obot__class_Obot(tc_fun(_u14166, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14166), _u14168), hAPP(c_Finite__Set_Ofold1(_u14166, c_Orderings_Oord__class_Omin(_u14166)), _u14167))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14166), _u14168), skolem323(_u14168, _u14167, _u14166))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_fold1__insert ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_fold1__insert-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u14169) | ( _u14170 = c_Orderings_Obot__class_Obot(tc_fun(_u14169, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14169), _u14170)) | hBOOL(hAPP(hAPP(c_member(_u14169), _u14171), _u14170)) | ( hAPP(c_Finite__Set_Ofold1(_u14169, c_Groups_Otimes__class_Otimes(_u14169)), hAPP(hAPP(c_Set_Oinsert(_u14169), _u14171), _u14170)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u14169), _u14171), hAPP(c_Finite__Set_Ofold1(_u14169, c_Groups_Otimes__class_Otimes(_u14169)), _u14170))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_fold1__antimono ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_fold1__antimono-1, axiom, ( ~class_Orderings_Olinorder(_u14172) | ( _u14173 = c_Orderings_Obot__class_Obot(tc_fun(_u14172, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14172, tc_HOL_Obool)), _u14173), _u14174)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14172), _u14174)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14172), hAPP(c_Finite__Set_Ofold1(_u14172, c_Orderings_Oord__class_Omin(_u14172)), _u14174)), hAPP(c_Finite__Set_Ofold1(_u14172, c_Orderings_Oord__class_Omin(_u14172)), _u14173))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_semilattice__big_OF__eq ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_semilattice__big_OF__eq-1, axiom, ( ~c_Big__Operators_Osemilattice__big(_u14175, _u14176, _u14177) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14175), _u14178)) | ( hAPP(_u14177, _u14178) = hAPP(c_Finite__Set_Ofold1(_u14175, _u14176), _u14178)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_fold1__in ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_fold1__in-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u14181) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14181), _u14182)) | ( _u14182 = c_Orderings_Obot__class_Obot(tc_fun(_u14181, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u14181), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u14181), skolem324(_u14182, _u14181)), skolem325(_u14182, _u14181))), hAPP(hAPP(c_Set_Oinsert(_u14181), skolem324(_u14182, _u14181)), hAPP(hAPP(c_Set_Oinsert(_u14181), skolem325(_u14182, _u14181)), c_Orderings_Obot__class_Obot(tc_fun(_u14181, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u14181), hAPP(c_Finite__Set_Ofold1(_u14181, c_Groups_Otimes__class_Otimes(_u14181)), _u14182)), _u14182)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_hom__fold1__commute ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_hom__fold1__commute-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u14185) | ( hAPP(_u14186, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u14185), skolem326(_u14187, _u14186, _u14185)), skolem327(_u14187, _u14186, _u14185))) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u14185), hAPP(_u14186, skolem326(_u14187, _u14186, _u14185))), hAPP(_u14186, skolem327(_u14187, _u14186, _u14185)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14185), _u14187)) | ( _u14187 = c_Orderings_Obot__class_Obot(tc_fun(_u14185, tc_HOL_Obool))) | ( hAPP(_u14186, hAPP(c_Finite__Set_Ofold1(_u14185, c_Groups_Otimes__class_Otimes(_u14185)), _u14187)) = hAPP(c_Finite__Set_Ofold1(_u14185, c_Groups_Otimes__class_Otimes(_u14185)), hAPP(c_Set_Oimage(_u14185, _u14185, _u14186), _u14187))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_wfP__def ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_wfP__def-1, axiom, ( ~c_Wellfounded_OwfP(_u14190, _u14192) | c_Wellfounded_Owf(_u14190, hAPP(c_Set_OCollect(tc_prod(_u14190, _u14190)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14190, _u14190, tc_HOL_Obool), _u14192))) )).
% 39.89/40.09 cnf(fact_wfP__def-2, axiom, ( ~c_Wellfounded_Owf(_u14191, hAPP(c_Set_OCollect(tc_prod(_u14191, _u14191)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14191, _u14191, tc_HOL_Obool), _u14193))) | c_Wellfounded_OwfP(_u14191, _u14193) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_Option_Omap__def ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_Option_Omap__def-1, axiom, ( ( hAPP(c_Option_Omap(_u14194, _u14195), _u14196) = c_Option_Ooption_Ooption__case(tc_Option_Ooption(_u14195), _u14194, c_Option_Ooption_ONone(_u14195), hAPP(hAPP(c_COMBB(_u14195, tc_Option_Ooption(_u14195), _u14194), c_Option_Ooption_OSome(_u14195)), _u14196))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_setprod__pos__nat ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_setprod__pos__nat-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14198), _u14199)) | 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(_u14198, tc_Nat_Onat), _u14200), _u14199))) | hBOOL(hAPP(hAPP(c_member(_u14198), skolem328(_u14200, _u14199, _u14198)), _u14199)) )).
% 39.89/40.09 cnf(fact_setprod__pos__nat-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14198), _u14199)) | 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(_u14198, tc_Nat_Onat), _u14200), _u14199))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u14200, skolem328(_u14200, _u14199, _u14198)))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_wfP__empty ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_wfP__empty-1, axiom, ( c_Wellfounded_OwfP(_u14201, hAPP(c_COMBK(tc_fun(_u14201, tc_HOL_Obool), _u14201), hAPP(c_COMBK(tc_HOL_Obool, _u14201), c_fFalse))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_Option_Omap_Ocomp ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_Option_Omap_Ocomp-1, axiom, ( ( hAPP(c_Fun_Ocomp(tc_Option_Ooption(_u14202), tc_Option_Ooption(_u14203), tc_Option_Ooption(_u14204), hAPP(c_Option_Omap(_u14202, _u14203), _u14205)), hAPP(c_Option_Omap(_u14204, _u14202), _u14206)) = hAPP(c_Option_Omap(_u14204, _u14203), hAPP(c_Fun_Ocomp(_u14202, _u14203, _u14204, _u14205), _u14206))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_Option_Omap_Ocompositionality ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_Option_Omap_Ocompositionality-1, axiom, ( ( hAPP(hAPP(c_Option_Omap(_u14207, _u14208), _u14209), hAPP(hAPP(c_Option_Omap(_u14210, _u14207), _u14211), _u14212)) = hAPP(hAPP(c_Option_Omap(_u14210, _u14208), hAPP(c_Fun_Ocomp(_u14207, _u14208, _u14210, _u14209), _u14211)), _u14212)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_option__map__comp ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_option__map__comp-1, axiom, ( ( hAPP(hAPP(c_Option_Omap(_u14213, _u14214), _u14215), hAPP(hAPP(c_Option_Omap(_u14216, _u14213), _u14217), _u14218)) = hAPP(hAPP(c_Option_Omap(_u14216, _u14214), hAPP(c_Fun_Ocomp(_u14213, _u14214, _u14216, _u14215), _u14217)), _u14218)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_option__map__o__empty ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_option__map__o__empty-1, axiom, ( ( hAPP(hAPP(c_Fun_Ocomp(tc_Option_Ooption(_u14219), tc_Option_Ooption(_u14220), _u14221, hAPP(c_Option_Omap(_u14219, _u14220), _u14222)), hAPP(c_COMBK(tc_Option_Ooption(_u14219), _u14221), c_Option_Ooption_ONone(_u14219))), _u14223) = c_Option_Ooption_ONone(_u14220)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_Option_Omap_Oid ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_Option_Omap_Oid-1, axiom, ( ( hAPP(c_Option_Omap(_u14224, _u14224), c_Fun_Oid(_u14224)) = c_Fun_Oid(tc_Option_Ooption(_u14224))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_Option_Omap_Oidentity ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_Option_Omap_Oidentity-1, axiom, ( ( hAPP(c_Option_Omap(_u14225, _u14225), c_COMBI(_u14225)) = c_Fun_Oid(tc_Option_Ooption(_u14225))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_dom__option__map ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_dom__option__map-1, axiom, ( ( c_Map_Odom(_u14226, _u14227, hAPP(hAPP(c_COMBS(_u14226, tc_Option_Ooption(_u14228), tc_Option_Ooption(_u14227)), hAPP(hAPP(c_COMBB(tc_fun(_u14228, _u14227), tc_fun(tc_Option_Ooption(_u14228), tc_Option_Ooption(_u14227)), _u14226), c_Option_Omap(_u14228, _u14227)), _u14229)), _u14230)) = c_Map_Odom(_u14226, _u14228, _u14230)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_accp__wfPD ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_accp__wfPD-1, axiom, ( ~c_Wellfounded_OwfP(_u14231, _u14232) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u14231, _u14232), _u14233)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_wfP__accp__iff ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_wfP__accp__iff-1, axiom, ( ~c_Wellfounded_OwfP(_u14238, _u14240) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u14238, _u14240), _u14234)) )).
% 39.89/40.09 cnf(fact_wfP__accp__iff-2, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u14239, _u14241), skolem329(_u14241, _u14239))) | c_Wellfounded_OwfP(_u14239, _u14241) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_option__map__is__None ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_option__map__is__None-1, axiom, ( ( hAPP(hAPP(c_Option_Omap(_u14246, _u14248), _u14250), _u14252) != c_Option_Ooption_ONone(_u14248)) | ( _u14252 = c_Option_Ooption_ONone(_u14246)) )).
% 39.89/40.09 cnf(fact_option__map__is__None-2, axiom, ( ( _u14253 != c_Option_Ooption_ONone(_u14247)) | ( hAPP(hAPP(c_Option_Omap(_u14247, _u14249), _u14251), _u14253) = c_Option_Ooption_ONone(_u14249)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_option__map__None ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_option__map__None-1, axiom, ( ( hAPP(hAPP(c_Option_Omap(_u14254, _u14255), _u14256), c_Option_Ooption_ONone(_u14254)) = c_Option_Ooption_ONone(_u14255)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_option__map__eq__Some ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_option__map__eq__Some-1, axiom, ( ( hAPP(hAPP(c_Option_Omap(_u14264, _u14266), _u14268), _u14270) != hAPP(c_Option_Ooption_OSome(_u14266), _u14272)) | ( _u14270 = hAPP(c_Option_Ooption_OSome(_u14264), skolem330(_u14272, _u14270, _u14268, _u14266, _u14264))) )).
% 39.89/40.09 cnf(fact_option__map__eq__Some-2, axiom, ( ( hAPP(hAPP(c_Option_Omap(_u14264, _u14266), _u14268), _u14270) != hAPP(c_Option_Ooption_OSome(_u14266), _u14272)) | ( hAPP(_u14268, skolem330(_u14272, _u14270, _u14268, _u14266, _u14264)) = _u14272) )).
% 39.89/40.09 cnf(fact_option__map__eq__Some-3, axiom, ( ( _u14271 != hAPP(c_Option_Ooption_OSome(_u14265), _u14258)) | ( hAPP(_u14269, _u14258) != _u14273) | ( hAPP(hAPP(c_Option_Omap(_u14265, _u14267), _u14269), _u14271) = hAPP(c_Option_Ooption_OSome(_u14267), _u14273)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_option__map__Some ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_option__map__Some-1, axiom, ( ( hAPP(hAPP(c_Option_Omap(_u14274, _u14275), _u14276), hAPP(c_Option_Ooption_OSome(_u14274), _u14277)) = hAPP(c_Option_Ooption_OSome(_u14275), hAPP(_u14276, _u14277))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_wfP__subset ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_wfP__subset-1, axiom, ( ~c_Wellfounded_OwfP(_u14278, _u14279) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14278, tc_fun(_u14278, tc_HOL_Obool))), _u14280), _u14279)) | c_Wellfounded_OwfP(_u14278, _u14280) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_option__map__o__map__upd ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_option__map__o__map__upd-1, axiom, ( ( hAPP(c_Fun_Ocomp(tc_Option_Ooption(_u14281), tc_Option_Ooption(_u14282), _u14283, hAPP(c_Option_Omap(_u14281, _u14282), _u14284)), hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u14283, tc_Option_Ooption(_u14281)), _u14285), _u14286), hAPP(c_Option_Ooption_OSome(_u14281), _u14287))) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u14283, tc_Option_Ooption(_u14282)), hAPP(c_Fun_Ocomp(tc_Option_Ooption(_u14281), tc_Option_Ooption(_u14282), _u14283, hAPP(c_Option_Omap(_u14281, _u14282), _u14284)), _u14285)), _u14286), hAPP(c_Option_Ooption_OSome(_u14282), hAPP(_u14284, _u14287)))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_wf__in__rel ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_wf__in__rel-1, axiom, ( ~c_Wellfounded_Owf(_u14288, _u14289) | c_Wellfounded_OwfP(_u14288, c_FunDef_Oin__rel(_u14288, _u14288, _u14289)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_wfP__wf__eq ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_wfP__wf__eq-1, axiom, ( ~c_Wellfounded_OwfP(_u14292, hAPP(hAPP(c_COMBC(_u14292, tc_fun(tc_prod(_u14292, _u14292), tc_HOL_Obool), tc_fun(_u14292, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14292, tc_fun(tc_fun(tc_prod(_u14292, _u14292), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14292, _u14292), tc_HOL_Obool), tc_fun(_u14292, tc_HOL_Obool)), _u14292), c_COMBC(_u14292, tc_fun(tc_prod(_u14292, _u14292), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14292, tc_prod(_u14292, _u14292)), tc_fun(_u14292, tc_fun(tc_fun(tc_prod(_u14292, _u14292), tc_HOL_Obool), tc_HOL_Obool)), _u14292), hAPP(c_COMBB(tc_prod(_u14292, _u14292), tc_fun(tc_fun(tc_prod(_u14292, _u14292), tc_HOL_Obool), tc_HOL_Obool), _u14292), c_member(tc_prod(_u14292, _u14292)))), c_Product__Type_OPair(_u14292, _u14292)))), _u14294)) | c_Wellfounded_Owf(_u14292, _u14294) )).
% 39.89/40.09 cnf(fact_wfP__wf__eq-2, axiom, ( ~c_Wellfounded_Owf(_u14293, _u14295) | c_Wellfounded_OwfP(_u14293, hAPP(hAPP(c_COMBC(_u14293, tc_fun(tc_prod(_u14293, _u14293), tc_HOL_Obool), tc_fun(_u14293, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14293, tc_fun(tc_fun(tc_prod(_u14293, _u14293), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14293, _u14293), tc_HOL_Obool), tc_fun(_u14293, tc_HOL_Obool)), _u14293), c_COMBC(_u14293, tc_fun(tc_prod(_u14293, _u14293), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14293, tc_prod(_u14293, _u14293)), tc_fun(_u14293, tc_fun(tc_fun(tc_prod(_u14293, _u14293), tc_HOL_Obool), tc_HOL_Obool)), _u14293), hAPP(c_COMBB(tc_prod(_u14293, _u14293), tc_fun(tc_fun(tc_prod(_u14293, _u14293), tc_HOL_Obool), tc_HOL_Obool), _u14293), c_member(tc_prod(_u14293, _u14293)))), c_Product__Type_OPair(_u14293, _u14293)))), _u14295)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_wfP__acyclicP ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_wfP__acyclicP-1, axiom, ( ~c_Wellfounded_OwfP(_u14296, _u14297) | c_Wellfounded_Oacyclic(_u14296, hAPP(c_Set_OCollect(tc_prod(_u14296, _u14296)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14296, _u14296, tc_HOL_Obool), _u14297))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_folding__one__idem_Ohom__commute ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_folding__one__idem_Ohom__commute-1, axiom, ( ~c_Finite__Set_Ofolding__one__idem(_u14300, _u14301, _u14302) | ( hAPP(_u14303, hAPP(hAPP(_u14301, skolem331(_u14304, _u14303, _u14302, _u14301, _u14300)), skolem332(_u14304, _u14303, _u14302, _u14301, _u14300))) != hAPP(hAPP(_u14301, hAPP(_u14303, skolem331(_u14304, _u14303, _u14302, _u14301, _u14300))), hAPP(_u14303, skolem332(_u14304, _u14303, _u14302, _u14301, _u14300)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14300), _u14304)) | ( _u14304 = c_Orderings_Obot__class_Obot(tc_fun(_u14300, tc_HOL_Obool))) | ( hAPP(_u14303, hAPP(_u14302, _u14304)) = hAPP(_u14302, hAPP(c_Set_Oimage(_u14300, _u14300, _u14303), _u14304))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_Rep__Integ__cases ( axiom ) converted to clauses:
% 39.89/40.09 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)), _u14306), c_Int_OInteg)) | ( _u14306 = hAPP(c_Int_ORep__Integ, skolem333(_u14306))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_acyclic__subset ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_acyclic__subset-1, axiom, ( ~c_Wellfounded_Oacyclic(_u14307, _u14308) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14307, _u14307), tc_HOL_Obool)), _u14309), _u14308)) | c_Wellfounded_Oacyclic(_u14307, _u14309) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_wf__acyclic ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_wf__acyclic-1, axiom, ( ~c_Wellfounded_Owf(_u14310, _u14311) | c_Wellfounded_Oacyclic(_u14310, _u14311) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_wf__iff__acyclic__if__finite ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_wf__iff__acyclic__if__finite-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14312, _u14312)), _u14313)) | ~c_Wellfounded_Owf(_u14312, _u14313) | c_Wellfounded_Oacyclic(_u14312, _u14313) )).
% 39.89/40.09 cnf(fact_wf__iff__acyclic__if__finite-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14312, _u14312)), _u14313)) | ~c_Wellfounded_Oacyclic(_u14312, _u14313) | c_Wellfounded_Owf(_u14312, _u14313) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_finite__acyclic__wf ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_finite__acyclic__wf-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14314, _u14314)), _u14315)) | ~c_Wellfounded_Oacyclic(_u14314, _u14315) | c_Wellfounded_Owf(_u14314, _u14315) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_Nitpick_Owf_H__def ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_Nitpick_Owf_H__def-1, axiom, ( ~c_Nitpick_Owf_H(_u14318, _u14320) | c_Wellfounded_Oacyclic(_u14318, _u14320) )).
% 39.89/40.09 cnf(fact_Nitpick_Owf_H__def-2, axiom, ( ~c_Nitpick_Owf_H(_u14318, _u14320) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14318, _u14318)), _u14320)) | c_Nitpick_Ounknown(tc_HOL_Obool) )).
% 39.89/40.09 cnf(fact_Nitpick_Owf_H__def-3, axiom, ( c_Nitpick_Owf_H(_u14319, _u14321) | ~c_Wellfounded_Oacyclic(_u14319, _u14321) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14319, _u14319)), _u14321)) )).
% 39.89/40.09 cnf(fact_Nitpick_Owf_H__def-4, axiom, ( c_Nitpick_Owf_H(_u14319, _u14321) | ~c_Wellfounded_Oacyclic(_u14319, _u14321) | ~c_Nitpick_Ounknown(tc_HOL_Obool) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_Rep__Integ__induct ( axiom ) converted to clauses:
% 39.89/40.09 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)), _u14323), c_Int_OInteg)) | ~hBOOL(hAPP(_u14324, hAPP(c_Int_ORep__Integ, skolem334(_u14324, _u14323)))) | hBOOL(hAPP(_u14324, _u14323)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_folding__image__simple_Ounion__inter__neutral ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_folding__image__simple_Ounion__inter__neutral-1, axiom, ( ~c_Finite__Set_Ofolding__image__simple(_u14326, _u14327, _u14328, _u14329, _u14330, _u14331) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14327), _u14332)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14327), _u14333)) | ( hAPP(_u14331, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14327, tc_HOL_Obool)), _u14332), _u14333)) = hAPP(hAPP(_u14328, hAPP(_u14331, _u14332)), hAPP(_u14331, _u14333))) | hBOOL(hAPP(hAPP(c_member(_u14327), skolem335(_u14333, _u14332, _u14331, _u14330, _u14329, _u14328, _u14327)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14327, tc_HOL_Obool)), _u14332), _u14333))) )).
% 39.89/40.09 cnf(fact_folding__image__simple_Ounion__inter__neutral-2, axiom, ( ~c_Finite__Set_Ofolding__image__simple(_u14326, _u14327, _u14328, _u14329, _u14330, _u14331) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14327), _u14332)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14327), _u14333)) | ( hAPP(_u14331, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14327, tc_HOL_Obool)), _u14332), _u14333)) = hAPP(hAPP(_u14328, hAPP(_u14331, _u14332)), hAPP(_u14331, _u14333))) | ( hAPP(_u14330, skolem335(_u14333, _u14332, _u14331, _u14330, _u14329, _u14328, _u14327)) != _u14329) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_pigeonhole__infinite ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_pigeonhole__infinite-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u14335), _u14336)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14337), hAPP(c_Set_Oimage(_u14335, _u14337, _u14338), _u14336))) | hBOOL(hAPP(hAPP(c_member(_u14335), skolem336(_u14338, _u14337, _u14336, _u14335)), _u14336)) )).
% 39.89/40.09 cnf(fact_pigeonhole__infinite-2, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u14335), _u14336)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14337), hAPP(c_Set_Oimage(_u14335, _u14337, _u14338), _u14336))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14335), hAPP(c_Set_OCollect(_u14335), hAPP(hAPP(c_COMBS(_u14335, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14335), c_fconj), hAPP(hAPP(c_COMBC(_u14335, tc_fun(_u14335, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14335)), _u14336))), hAPP(hAPP(c_COMBC(_u14335, _u14337, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u14337, tc_fun(_u14337, tc_HOL_Obool), _u14335), c_fequal), _u14338)), hAPP(_u14338, skolem336(_u14338, _u14337, _u14336, _u14335))))))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_refl__on__def_H ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_refl__on__def_H-1, axiom, ( ~c_Relation_Orefl__on(_u14346, _u14348, _u14350) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14346, _u14346)), _u14339), _u14350)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u14346, _u14346, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u14346, tc_fun(_u14346, tc_HOL_Obool), tc_fun(_u14346, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u14346, tc_HOL_Obool), tc_fun(_u14346, tc_HOL_Obool)), _u14346), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14346)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14346), c_fconj), hAPP(hAPP(c_COMBC(_u14346, tc_fun(_u14346, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14346)), _u14348)))), hAPP(hAPP(c_COMBC(_u14346, tc_fun(_u14346, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14346)), _u14348))), _u14339)) )).
% 39.89/40.09 cnf(fact_refl__on__def_H-2, axiom, ( ~c_Relation_Orefl__on(_u14346, _u14348, _u14350) | ~hBOOL(hAPP(hAPP(c_member(_u14346), _u14340), _u14348)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14346, _u14346)), hAPP(hAPP(c_Product__Type_OPair(_u14346, _u14346), _u14340), _u14340)), _u14350)) )).
% 39.89/40.09 cnf(fact_refl__on__def_H-3, axiom, ( c_Relation_Orefl__on(_u14347, _u14349, _u14351) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14347, _u14347)), skolem337(_u14351, _u14349, _u14347)), _u14351)) | hBOOL(hAPP(hAPP(c_member(_u14347), skolem338(_u14351, _u14349, _u14347)), _u14349)) )).
% 39.89/40.09 cnf(fact_refl__on__def_H-4, axiom, ( c_Relation_Orefl__on(_u14347, _u14349, _u14351) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14347, _u14347)), skolem337(_u14351, _u14349, _u14347)), _u14351)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14347, _u14347)), hAPP(hAPP(c_Product__Type_OPair(_u14347, _u14347), skolem338(_u14351, _u14349, _u14347)), skolem338(_u14351, _u14349, _u14347))), _u14351)) )).
% 39.89/40.09 cnf(fact_refl__on__def_H-5, axiom, ( c_Relation_Orefl__on(_u14347, _u14349, _u14351) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u14347, _u14347, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u14347, tc_fun(_u14347, tc_HOL_Obool), tc_fun(_u14347, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u14347, tc_HOL_Obool), tc_fun(_u14347, tc_HOL_Obool)), _u14347), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14347)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14347), c_fconj), hAPP(hAPP(c_COMBC(_u14347, tc_fun(_u14347, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14347)), _u14349)))), hAPP(hAPP(c_COMBC(_u14347, tc_fun(_u14347, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14347)), _u14349))), skolem337(_u14351, _u14349, _u14347))) | hBOOL(hAPP(hAPP(c_member(_u14347), skolem338(_u14351, _u14349, _u14347)), _u14349)) )).
% 39.89/40.09 cnf(fact_refl__on__def_H-6, axiom, ( c_Relation_Orefl__on(_u14347, _u14349, _u14351) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u14347, _u14347, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u14347, tc_fun(_u14347, tc_HOL_Obool), tc_fun(_u14347, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u14347, tc_HOL_Obool), tc_fun(_u14347, tc_HOL_Obool)), _u14347), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14347)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14347), c_fconj), hAPP(hAPP(c_COMBC(_u14347, tc_fun(_u14347, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14347)), _u14349)))), hAPP(hAPP(c_COMBC(_u14347, tc_fun(_u14347, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14347)), _u14349))), skolem337(_u14351, _u14349, _u14347))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14347, _u14347)), hAPP(hAPP(c_Product__Type_OPair(_u14347, _u14347), skolem338(_u14351, _u14349, _u14347)), skolem338(_u14351, _u14349, _u14347))), _u14351)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_Abs__Integ__cases ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_Abs__Integ__cases-1, axiom, ( ( _u14353 = hAPP(c_Int_OAbs__Integ, skolem339(_u14353))) )).
% 39.89/40.09 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)), skolem339(_u14353)), c_Int_OInteg)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_ball__empty ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_ball__empty-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u14355), _u14354), c_Orderings_Obot__class_Obot(tc_fun(_u14355, tc_HOL_Obool)))) | hBOOL(hAPP(_u14356, _u14354)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_Powp__def ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_Powp__def-1, axiom, ( ~hBOOL(hAPP(c_Predicate_OPowp(_u14362, _u14364), _u14366)) | ~hBOOL(hAPP(hAPP(c_member(_u14362), _u14357), _u14366)) | hBOOL(hAPP(_u14364, _u14357)) )).
% 39.89/40.09 cnf(fact_Powp__def-2, axiom, ( hBOOL(hAPP(c_Predicate_OPowp(_u14363, _u14365), _u14367)) | hBOOL(hAPP(hAPP(c_member(_u14363), skolem340(_u14367, _u14365, _u14363)), _u14367)) )).
% 39.89/40.09 cnf(fact_Powp__def-3, axiom, ( hBOOL(hAPP(c_Predicate_OPowp(_u14363, _u14365), _u14367)) | ~hBOOL(hAPP(_u14365, skolem340(_u14367, _u14365, _u14363))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_congruent__def ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_congruent__def-1, axiom, ( ~c_Equiv__Relations_Ocongruent(_u14374, _u14376, _u14378, _u14380) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14374, _u14374)), _u14368), _u14378)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u14374, _u14374, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u14374, tc_fun(_u14374, _u14376), tc_fun(_u14374, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14376, tc_HOL_Obool), tc_fun(tc_fun(_u14374, _u14376), tc_fun(_u14374, tc_HOL_Obool)), _u14374), c_COMBB(_u14376, tc_HOL_Obool, _u14374)), hAPP(hAPP(c_COMBB(_u14376, tc_fun(_u14376, tc_HOL_Obool), _u14374), c_fequal), _u14380))), _u14380)), _u14368)) )).
% 39.89/40.09 cnf(fact_congruent__def-2, axiom, ( c_Equiv__Relations_Ocongruent(_u14375, _u14377, _u14379, _u14381) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14375, _u14375)), skolem341(_u14381, _u14379, _u14377, _u14375)), _u14379)) )).
% 39.89/40.09 cnf(fact_congruent__def-3, axiom, ( c_Equiv__Relations_Ocongruent(_u14375, _u14377, _u14379, _u14381) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u14375, _u14375, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u14375, tc_fun(_u14375, _u14377), tc_fun(_u14375, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14377, tc_HOL_Obool), tc_fun(tc_fun(_u14375, _u14377), tc_fun(_u14375, tc_HOL_Obool)), _u14375), c_COMBB(_u14377, tc_HOL_Obool, _u14375)), hAPP(hAPP(c_COMBB(_u14377, tc_fun(_u14377, tc_HOL_Obool), _u14375), c_fequal), _u14381))), _u14381)), skolem341(_u14381, _u14379, _u14377, _u14375))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_Abs__Integ__induct ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_Abs__Integ__induct-1, axiom, ( hBOOL(hAPP(_u14383, _u14384)) | hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), skolem342(_u14384, _u14383)), c_Int_OInteg)) )).
% 39.89/40.09 cnf(fact_Abs__Integ__induct-2, axiom, ( hBOOL(hAPP(_u14383, _u14384)) | ~hBOOL(hAPP(_u14383, hAPP(c_Int_OAbs__Integ, skolem342(_u14384, _u14383)))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_finite__range__map__of__map__add ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_finite__range__map__of__map__add-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u14385)), hAPP(c_Set_Oimage(_u14386, tc_Option_Ooption(_u14385), _u14387), c_Orderings_Otop__class_Otop(tc_fun(_u14386, tc_HOL_Obool))))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u14385)), hAPP(c_Set_Oimage(_u14386, tc_Option_Ooption(_u14385), c_Map_Omap__add(_u14386, _u14385, _u14387, hAPP(c_Map_Omap__of(_u14386, _u14385), _u14388))), c_Orderings_Otop__class_Otop(tc_fun(_u14386, tc_HOL_Obool))))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_finite__dom__map__of ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_finite__dom__map__of-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u14389), c_Map_Odom(_u14389, _u14390, hAPP(c_Map_Omap__of(_u14389, _u14390), _u14391)))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_triples__valid__Suc ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_triples__valid__Suc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u14394)), _u14393), _u14395)) | c_Hoare__Mirabelle_Otriple__valid(_u14394, _u14396, _u14393) | hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u14394)), skolem343(_u14396, _u14395, _u14394)), _u14395)) )).
% 39.89/40.09 cnf(fact_triples__valid__Suc-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u14394)), _u14393), _u14395)) | c_Hoare__Mirabelle_Otriple__valid(_u14394, _u14396, _u14393) | ~c_Hoare__Mirabelle_Otriple__valid(_u14394, hAPP(c_Nat_OSuc, _u14396), skolem343(_u14396, _u14395, _u14394)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_finite__range__map__of ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_finite__range__map__of-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u14397)), hAPP(c_Set_Oimage(_u14398, tc_Option_Ooption(_u14397), hAPP(c_Map_Omap__of(_u14398, _u14397), _u14399)), c_Orderings_Otop__class_Otop(tc_fun(_u14398, tc_HOL_Obool))))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_hoare__valids__def ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_hoare__valids__def-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__valids(_u14409, _u14411, _u14413) | ~hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u14409)), _u14401), _u14413)) | c_Hoare__Mirabelle_Otriple__valid(_u14409, _u14402, _u14401) | hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u14409)), skolem344(_u14413, _u14411, _u14409, _u14402)), _u14411)) )).
% 39.89/40.09 cnf(fact_hoare__valids__def-2, axiom, ( ~c_Hoare__Mirabelle_Ohoare__valids(_u14409, _u14411, _u14413) | ~hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u14409)), _u14401), _u14413)) | c_Hoare__Mirabelle_Otriple__valid(_u14409, _u14402, _u14401) | ~c_Hoare__Mirabelle_Otriple__valid(_u14409, _u14402, skolem344(_u14413, _u14411, _u14409, _u14402)) )).
% 39.89/40.09 cnf(fact_hoare__valids__def-3, axiom, ( c_Hoare__Mirabelle_Ohoare__valids(_u14410, _u14412, _u14414) | ~hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u14410)), _u14403), _u14412)) | c_Hoare__Mirabelle_Otriple__valid(_u14410, skolem345(_u14414, _u14412, _u14410), _u14403) )).
% 39.89/40.09 cnf(fact_hoare__valids__def-4, axiom, ( c_Hoare__Mirabelle_Ohoare__valids(_u14410, _u14412, _u14414) | hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u14410)), skolem346(_u14414, _u14412, _u14410)), _u14414)) )).
% 39.89/40.09 cnf(fact_hoare__valids__def-5, axiom, ( c_Hoare__Mirabelle_Ohoare__valids(_u14410, _u14412, _u14414) | ~c_Hoare__Mirabelle_Otriple__valid(_u14410, skolem345(_u14414, _u14412, _u14410), skolem346(_u14414, _u14412, _u14410)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_map__add__map__of__foldr ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_map__add__map__of__foldr-1, axiom, ( ( c_Map_Omap__add(_u14415, _u14416, _u14417, hAPP(c_Map_Omap__of(_u14415, _u14416), _u14418)) = c_List_Ofoldr(tc_prod(_u14415, _u14416), tc_fun(_u14415, tc_Option_Ooption(_u14416)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14415, _u14416, tc_fun(tc_fun(_u14415, tc_Option_Ooption(_u14416)), tc_fun(_u14415, tc_Option_Ooption(_u14416)))), hAPP(hAPP(c_COMBC(_u14415, tc_fun(_u14416, tc_Option_Ooption(_u14416)), tc_fun(_u14416, tc_fun(tc_fun(_u14415, tc_Option_Ooption(_u14416)), tc_fun(_u14415, tc_Option_Ooption(_u14416))))), hAPP(hAPP(c_COMBB(tc_fun(tc_Option_Ooption(_u14416), tc_fun(tc_fun(_u14415, tc_Option_Ooption(_u14416)), tc_fun(_u14415, tc_Option_Ooption(_u14416)))), tc_fun(tc_fun(_u14416, tc_Option_Ooption(_u14416)), tc_fun(_u14416, tc_fun(tc_fun(_u14415, tc_Option_Ooption(_u14416)), tc_fun(_u14415, tc_Option_Ooption(_u14416))))), _u14415), c_COMBB(tc_Option_Ooption(_u14416), tc_fun(tc_fun(_u14415, tc_Option_Ooption(_u14416)), tc_fun(_u14415, tc_Option_Ooption(_u14416))), _u14416)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u14415, tc_Option_Ooption(_u14416)), tc_fun(tc_Option_Ooption(_u14416), tc_fun(_u14415, tc_Option_Ooption(_u14416)))), tc_fun(tc_Option_Ooption(_u14416), tc_fun(tc_fun(_u14415, tc_Option_Ooption(_u14416)), tc_fun(_u14415, tc_Option_Ooption(_u14416)))), _u14415), c_COMBC(tc_fun(_u14415, tc_Option_Ooption(_u14416)), tc_Option_Ooption(_u14416), tc_fun(_u14415, tc_Option_Ooption(_u14416)))), hAPP(c_COMBC(tc_fun(_u14415, tc_Option_Ooption(_u14416)), _u14415, tc_fun(tc_Option_Ooption(_u14416), tc_fun(_u14415, tc_Option_Ooption(_u14416)))), c_Fun_Ofun__upd(_u14415, tc_Option_Ooption(_u14416)))))), c_Option_Ooption_OSome(_u14416))), _u14418, _u14417)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_map__of__mapk__SomeI ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_map__of__mapk__SomeI-1, axiom, ( ~c_Fun_Oinj__on(_u14419, _u14420, _u14421, c_Orderings_Otop__class_Otop(tc_fun(_u14419, tc_HOL_Obool))) | ( hAPP(hAPP(c_Map_Omap__of(_u14419, _u14422), _u14423), _u14424) != hAPP(c_Option_Ooption_OSome(_u14422), _u14425)) | ( hAPP(hAPP(c_Map_Omap__of(_u14420, _u14422), hAPP(hAPP(c_List_Omap(tc_prod(_u14419, _u14422), tc_prod(_u14420, _u14422)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14419, _u14422, tc_prod(_u14420, _u14422)), hAPP(hAPP(c_COMBB(_u14420, tc_fun(_u14422, tc_prod(_u14420, _u14422)), _u14419), c_Product__Type_OPair(_u14420, _u14422)), _u14421))), _u14423)), hAPP(_u14421, _u14424)) = hAPP(c_Option_Ooption_OSome(_u14422), _u14425)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_map__of__map ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_map__of__map-1, axiom, ( ( hAPP(c_Map_Omap__of(_u14426, _u14427), hAPP(hAPP(c_List_Omap(tc_prod(_u14426, _u14428), tc_prod(_u14426, _u14427)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14426, _u14428, tc_prod(_u14426, _u14427)), hAPP(hAPP(c_COMBC(_u14426, tc_fun(_u14428, _u14427), tc_fun(_u14428, tc_prod(_u14426, _u14427))), hAPP(hAPP(c_COMBB(tc_fun(_u14427, tc_prod(_u14426, _u14427)), tc_fun(tc_fun(_u14428, _u14427), tc_fun(_u14428, tc_prod(_u14426, _u14427))), _u14426), c_COMBB(_u14427, tc_prod(_u14426, _u14427), _u14428)), c_Product__Type_OPair(_u14426, _u14427))), _u14429))), _u14430)) = hAPP(c_Fun_Ocomp(tc_Option_Ooption(_u14428), tc_Option_Ooption(_u14427), _u14426, hAPP(c_Option_Omap(_u14428, _u14427), _u14429)), hAPP(c_Map_Omap__of(_u14426, _u14428), _u14430))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_inj__mapI ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_inj__mapI-1, axiom, ( ~c_Fun_Oinj__on(_u14431, _u14432, _u14433, c_Orderings_Otop__class_Otop(tc_fun(_u14431, tc_HOL_Obool))) | c_Fun_Oinj__on(tc_List_Olist(_u14431), tc_List_Olist(_u14432), hAPP(c_List_Omap(_u14431, _u14432), _u14433), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u14431), tc_HOL_Obool))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_foldr__map ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_foldr__map-1, axiom, ( ( c_List_Ofoldr(_u14434, _u14435, _u14436, hAPP(hAPP(c_List_Omap(_u14437, _u14434), _u14438), _u14439), _u14440) = c_List_Ofoldr(_u14437, _u14435, hAPP(c_Fun_Ocomp(_u14434, tc_fun(_u14435, _u14435), _u14437, _u14436), _u14438), _u14439, _u14440)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_map__injective ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_map__injective-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u14441, _u14442), _u14443), _u14444) != hAPP(hAPP(c_List_Omap(_u14441, _u14442), _u14443), _u14445)) | ~c_Fun_Oinj__on(_u14441, _u14442, _u14443, c_Orderings_Otop__class_Otop(tc_fun(_u14441, tc_HOL_Obool))) | ( _u14444 = _u14445) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_inj__mapD ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_inj__mapD-1, axiom, ( ~c_Fun_Oinj__on(tc_List_Olist(_u14446), tc_List_Olist(_u14447), hAPP(c_List_Omap(_u14446, _u14447), _u14448), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u14446), tc_HOL_Obool))) | c_Fun_Oinj__on(_u14446, _u14447, _u14448, c_Orderings_Otop__class_Otop(tc_fun(_u14446, tc_HOL_Obool))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_inj__map__eq__map ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_inj__map__eq__map-1, axiom, ( ~c_Fun_Oinj__on(_u14449, _u14450, _u14451, c_Orderings_Otop__class_Otop(tc_fun(_u14449, tc_HOL_Obool))) | ( hAPP(hAPP(c_List_Omap(_u14449, _u14450), _u14451), _u14452) != hAPP(hAPP(c_List_Omap(_u14449, _u14450), _u14451), _u14453)) | ( _u14452 = _u14453) )).
% 39.89/40.09 cnf(fact_inj__map__eq__map-2, axiom, ( ~c_Fun_Oinj__on(_u14449, _u14450, _u14451, c_Orderings_Otop__class_Otop(tc_fun(_u14449, tc_HOL_Obool))) | ( _u14452 != _u14453) | ( hAPP(hAPP(c_List_Omap(_u14449, _u14450), _u14451), _u14452) = hAPP(hAPP(c_List_Omap(_u14449, _u14450), _u14451), _u14453)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_inj__map ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_inj__map-1, axiom, ( ~c_Fun_Oinj__on(tc_List_Olist(_u14457), tc_List_Olist(_u14459), hAPP(c_List_Omap(_u14457, _u14459), _u14461), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u14457), tc_HOL_Obool))) | c_Fun_Oinj__on(_u14457, _u14459, _u14461, c_Orderings_Otop__class_Otop(tc_fun(_u14457, tc_HOL_Obool))) )).
% 39.89/40.09 cnf(fact_inj__map-2, axiom, ( ~c_Fun_Oinj__on(_u14458, _u14460, _u14462, c_Orderings_Otop__class_Otop(tc_fun(_u14458, tc_HOL_Obool))) | c_Fun_Oinj__on(tc_List_Olist(_u14458), tc_List_Olist(_u14460), hAPP(c_List_Omap(_u14458, _u14460), _u14462), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u14458), tc_HOL_Obool))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_map__ident ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_map__ident-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u14463, _u14463), c_COMBI(_u14463)), _u14464) = _u14464) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_map__map ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_map__map-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u14465, _u14466), _u14467), hAPP(hAPP(c_List_Omap(_u14468, _u14465), _u14469), _u14470)) = hAPP(hAPP(c_List_Omap(_u14468, _u14466), hAPP(c_Fun_Ocomp(_u14465, _u14466, _u14468, _u14467), _u14469)), _u14470)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_List_Omap_Ocompositionality ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_List_Omap_Ocompositionality-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u14471, _u14472), _u14473), hAPP(hAPP(c_List_Omap(_u14474, _u14471), _u14475), _u14476)) = hAPP(hAPP(c_List_Omap(_u14474, _u14472), hAPP(c_Fun_Ocomp(_u14471, _u14472, _u14474, _u14473), _u14475)), _u14476)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_map__comp__map ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_map__comp__map-1, axiom, ( ( hAPP(c_Fun_Ocomp(tc_List_Olist(_u14477), tc_List_Olist(_u14478), tc_List_Olist(_u14479), hAPP(c_List_Omap(_u14477, _u14478), _u14480)), hAPP(c_List_Omap(_u14479, _u14477), _u14481)) = hAPP(c_List_Omap(_u14479, _u14478), hAPP(c_Fun_Ocomp(_u14477, _u14478, _u14479, _u14480), _u14481))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_List_Omap_Ocomp ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_List_Omap_Ocomp-1, axiom, ( ( hAPP(c_Fun_Ocomp(tc_List_Olist(_u14482), tc_List_Olist(_u14483), tc_List_Olist(_u14484), hAPP(c_List_Omap(_u14482, _u14483), _u14485)), hAPP(c_List_Omap(_u14484, _u14482), _u14486)) = hAPP(c_List_Omap(_u14484, _u14483), hAPP(c_Fun_Ocomp(_u14482, _u14483, _u14484, _u14485), _u14486))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_List_Omap_Oid ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_List_Omap_Oid-1, axiom, ( ( hAPP(c_List_Omap(_u14487, _u14487), c_Fun_Oid(_u14487)) = c_Fun_Oid(tc_List_Olist(_u14487))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_List_Omap_Oidentity ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_List_Omap_Oidentity-1, axiom, ( ( hAPP(c_List_Omap(_u14488, _u14488), c_COMBI(_u14488)) = c_Fun_Oid(tc_List_Olist(_u14488))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_map__of__map__restrict ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_map__of__map__restrict-1, axiom, ( ( hAPP(c_Map_Omap__of(_u14489, _u14490), hAPP(hAPP(c_List_Omap(_u14489, tc_prod(_u14489, _u14490)), hAPP(hAPP(c_COMBS(_u14489, _u14490, tc_prod(_u14489, _u14490)), c_Product__Type_OPair(_u14489, _u14490)), _u14491)), _u14492)) = c_Map_Orestrict__map(_u14489, _u14490, hAPP(c_Fun_Ocomp(_u14490, tc_Option_Ooption(_u14490), _u14489, c_Option_Ooption_OSome(_u14490)), _u14491), hAPP(c_List_Oset(_u14489), _u14492))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_map__of_Osimps_I2_J ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_map__of_Osimps_I2_J-1, axiom, ( ( hAPP(c_Map_Omap__of(_u14493, _u14494), hAPP(hAPP(c_List_Olist_OCons(tc_prod(_u14493, _u14494)), _u14495), _u14496)) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u14493, tc_Option_Ooption(_u14494)), hAPP(c_Map_Omap__of(_u14493, _u14494), _u14496)), hAPP(c_Product__Type_Ofst(_u14493, _u14494), _u14495)), hAPP(c_Option_Ooption_OSome(_u14494), hAPP(c_Product__Type_Osnd(_u14493, _u14494), _u14495)))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_finite__set ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_finite__set-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u14497), hAPP(c_List_Oset(_u14497), _u14498))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_set__map ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_set__map-1, axiom, ( ( hAPP(c_List_Oset(_u14499), hAPP(hAPP(c_List_Omap(_u14500, _u14499), _u14501), _u14502)) = hAPP(c_Set_Oimage(_u14500, _u14499, _u14501), hAPP(c_List_Oset(_u14500), _u14502))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_map_Osimps_I2_J ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_map_Osimps_I2_J-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u14503, _u14504), _u14505), hAPP(hAPP(c_List_Olist_OCons(_u14503), _u14506), _u14507)) = hAPP(hAPP(c_List_Olist_OCons(_u14504), hAPP(_u14505, _u14506)), hAPP(hAPP(c_List_Omap(_u14503, _u14504), _u14505), _u14507))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_map__eq__conv ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_map__eq__conv-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u14515, _u14517), _u14519), _u14521) != hAPP(hAPP(c_List_Omap(_u14515, _u14517), _u14523), _u14521)) | ~hBOOL(hAPP(hAPP(c_member(_u14515), _u14508), hAPP(c_List_Oset(_u14515), _u14521))) | ( hAPP(_u14519, _u14508) = hAPP(_u14523, _u14508)) )).
% 39.89/40.09 cnf(fact_map__eq__conv-2, axiom, ( ( hAPP(hAPP(c_List_Omap(_u14516, _u14518), _u14520), _u14522) = hAPP(hAPP(c_List_Omap(_u14516, _u14518), _u14524), _u14522)) | hBOOL(hAPP(hAPP(c_member(_u14516), skolem347(_u14524, _u14522, _u14520, _u14518, _u14516)), hAPP(c_List_Oset(_u14516), _u14522))) )).
% 39.89/40.09 cnf(fact_map__eq__conv-3, axiom, ( ( hAPP(hAPP(c_List_Omap(_u14516, _u14518), _u14520), _u14522) = hAPP(hAPP(c_List_Omap(_u14516, _u14518), _u14524), _u14522)) | ( hAPP(_u14520, skolem347(_u14524, _u14522, _u14520, _u14518, _u14516)) != hAPP(_u14524, skolem347(_u14524, _u14522, _u14520, _u14518, _u14516))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_set__ConsD ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_set__ConsD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u14525), _u14526), hAPP(c_List_Oset(_u14525), hAPP(hAPP(c_List_Olist_OCons(_u14525), _u14527), _u14528)))) | ( _u14526 = _u14527) | hBOOL(hAPP(hAPP(c_member(_u14525), _u14526), hAPP(c_List_Oset(_u14525), _u14528))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_infinite__UNIV__listI ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_infinite__UNIV__listI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(_u14529)), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u14529), tc_HOL_Obool)))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_list_Oinject ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_list_Oinject-1, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u14535), _u14537), _u14539) != hAPP(hAPP(c_List_Olist_OCons(_u14535), _u14541), _u14543)) | ( _u14537 = _u14541) )).
% 39.89/40.09 cnf(fact_list_Oinject-2, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u14535), _u14537), _u14539) != hAPP(hAPP(c_List_Olist_OCons(_u14535), _u14541), _u14543)) | ( _u14539 = _u14543) )).
% 39.89/40.09 cnf(fact_list_Oinject-3, axiom, ( ( _u14538 != _u14542) | ( _u14540 != _u14544) | ( hAPP(hAPP(c_List_Olist_OCons(_u14536), _u14538), _u14540) = hAPP(hAPP(c_List_Olist_OCons(_u14536), _u14542), _u14544)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_not__Cons__self2 ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_not__Cons__self2-1, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u14545), _u14546), _u14547) != _u14547) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_not__Cons__self ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_not__Cons__self-1, axiom, ( ( _u14548 != hAPP(hAPP(c_List_Olist_OCons(_u14549), _u14550), _u14548)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_set__subset__Cons ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_set__subset__Cons-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14551, tc_HOL_Obool)), hAPP(c_List_Oset(_u14551), _u14552)), hAPP(c_List_Oset(_u14551), hAPP(hAPP(c_List_Olist_OCons(_u14551), _u14553), _u14552)))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_List_Oset_Osimps_I2_J ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_List_Oset_Osimps_I2_J-1, axiom, ( ( hAPP(c_List_Oset(_u14554), hAPP(hAPP(c_List_Olist_OCons(_u14554), _u14555), _u14556)) = hAPP(hAPP(c_Set_Oinsert(_u14554), _u14555), hAPP(c_List_Oset(_u14554), _u14556))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_foldr_Osimps_I2_J ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_foldr_Osimps_I2_J-1, axiom, ( ( c_List_Ofoldr(_u14557, _u14558, _u14559, hAPP(hAPP(c_List_Olist_OCons(_u14557), _u14560), _u14561), _u14562) = hAPP(hAPP(_u14559, _u14560), c_List_Ofoldr(_u14557, _u14558, _u14559, _u14561, _u14562))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_map__inj__on ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_map__inj__on-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u14563, _u14564), _u14565), _u14566) != hAPP(hAPP(c_List_Omap(_u14563, _u14564), _u14565), _u14567)) | ~c_Fun_Oinj__on(_u14563, _u14564, _u14565, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14563, tc_HOL_Obool)), hAPP(c_List_Oset(_u14563), _u14566)), hAPP(c_List_Oset(_u14563), _u14567))) | ( _u14566 = _u14567) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_inj__on__map__eq__map ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_inj__on__map__eq__map-1, axiom, ( ~c_Fun_Oinj__on(_u14568, _u14569, _u14570, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14568, tc_HOL_Obool)), hAPP(c_List_Oset(_u14568), _u14571)), hAPP(c_List_Oset(_u14568), _u14572))) | ( hAPP(hAPP(c_List_Omap(_u14568, _u14569), _u14570), _u14571) != hAPP(hAPP(c_List_Omap(_u14568, _u14569), _u14570), _u14572)) | ( _u14571 = _u14572) )).
% 39.89/40.09 cnf(fact_inj__on__map__eq__map-2, axiom, ( ~c_Fun_Oinj__on(_u14568, _u14569, _u14570, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14568, tc_HOL_Obool)), hAPP(c_List_Oset(_u14568), _u14571)), hAPP(c_List_Oset(_u14568), _u14572))) | ( _u14571 != _u14572) | ( hAPP(hAPP(c_List_Omap(_u14568, _u14569), _u14570), _u14571) = hAPP(hAPP(c_List_Omap(_u14568, _u14569), _u14570), _u14572)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_map__fun__upd ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_map__fun__upd-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u14573), _u14574), hAPP(c_List_Oset(_u14573), _u14575))) | ( hAPP(hAPP(c_List_Omap(_u14573, _u14576), hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u14573, _u14576), _u14577), _u14574), _u14578)), _u14575) = hAPP(hAPP(c_List_Omap(_u14573, _u14576), _u14577), _u14575)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_map__of__Cons__code_I2_J ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_map__of__Cons__code_I2_J-1, axiom, ( ( _u14585 != _u14587) | ( hAPP(hAPP(c_Map_Omap__of(_u14589, _u14591), hAPP(hAPP(c_List_Olist_OCons(tc_prod(_u14589, _u14591)), hAPP(hAPP(c_Product__Type_OPair(_u14589, _u14591), _u14585), _u14593)), _u14595)), _u14587) = hAPP(c_Option_Ooption_OSome(_u14591), _u14593)) )).
% 39.89/40.09 cnf(fact_map__of__Cons__code_I2_J-2, axiom, ( ( _u14586 = _u14588) | ( hAPP(hAPP(c_Map_Omap__of(_u14590, _u14592), hAPP(hAPP(c_List_Olist_OCons(tc_prod(_u14590, _u14592)), hAPP(hAPP(c_Product__Type_OPair(_u14590, _u14592), _u14586), _u14594)), _u14596)), _u14588) = hAPP(hAPP(c_Map_Omap__of(_u14590, _u14592), _u14596), _u14588)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_map__of__eq__dom ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_map__of__eq__dom-1, axiom, ( ( hAPP(c_Map_Omap__of(_u14597, _u14598), _u14599) != hAPP(c_Map_Omap__of(_u14597, _u14598), _u14600)) | ( hAPP(c_Set_Oimage(tc_prod(_u14597, _u14598), _u14597, c_Product__Type_Ofst(_u14597, _u14598)), hAPP(c_List_Oset(tc_prod(_u14597, _u14598)), _u14599)) = hAPP(c_Set_Oimage(tc_prod(_u14597, _u14598), _u14597, c_Product__Type_Ofst(_u14597, _u14598)), hAPP(c_List_Oset(tc_prod(_u14597, _u14598)), _u14600))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_map__of__SomeD ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_map__of__SomeD-1, axiom, ( ( hAPP(hAPP(c_Map_Omap__of(_u14601, _u14602), _u14603), _u14604) != hAPP(c_Option_Ooption_OSome(_u14602), _u14605)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14601, _u14602)), hAPP(hAPP(c_Product__Type_OPair(_u14601, _u14602), _u14604), _u14605)), hAPP(c_List_Oset(tc_prod(_u14601, _u14602)), _u14603))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_map__of__is__SomeD ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_map__of__is__SomeD-1, axiom, ( ( hAPP(hAPP(c_Map_Omap__of(_u14606, _u14607), _u14608), _u14609) != hAPP(c_Option_Ooption_OSome(_u14607), _u14610)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14606, _u14607)), hAPP(hAPP(c_Product__Type_OPair(_u14606, _u14607), _u14609), _u14610)), hAPP(c_List_Oset(tc_prod(_u14606, _u14607)), _u14608))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_dom__map__of__conv__image__fst ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_dom__map__of__conv__image__fst-1, axiom, ( ( c_Map_Odom(_u14611, _u14612, hAPP(c_Map_Omap__of(_u14611, _u14612), _u14613)) = hAPP(c_Set_Oimage(tc_prod(_u14611, _u14612), _u14611, c_Product__Type_Ofst(_u14611, _u14612)), hAPP(c_List_Oset(tc_prod(_u14611, _u14612)), _u14613))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_map__of__eq__None__iff ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_map__of__eq__None__iff-1, axiom, ( ( hAPP(hAPP(c_Map_Omap__of(_u14618, _u14620), _u14622), _u14624) != c_Option_Ooption_ONone(_u14620)) | ~hBOOL(hAPP(hAPP(c_member(_u14618), _u14624), hAPP(c_Set_Oimage(tc_prod(_u14618, _u14620), _u14618, c_Product__Type_Ofst(_u14618, _u14620)), hAPP(c_List_Oset(tc_prod(_u14618, _u14620)), _u14622)))) )).
% 39.89/40.09 cnf(fact_map__of__eq__None__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u14619), _u14625), hAPP(c_Set_Oimage(tc_prod(_u14619, _u14621), _u14619, c_Product__Type_Ofst(_u14619, _u14621)), hAPP(c_List_Oset(tc_prod(_u14619, _u14621)), _u14623)))) | ( hAPP(hAPP(c_Map_Omap__of(_u14619, _u14621), _u14623), _u14625) = c_Option_Ooption_ONone(_u14621)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_map__of__map__keys ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_map__of__map__keys-1, axiom, ( ( hAPP(c_List_Oset(_u14626), _u14627) != c_Map_Odom(_u14626, _u14628, _u14629)) | ( hAPP(c_Map_Omap__of(_u14626, _u14628), hAPP(hAPP(c_List_Omap(_u14626, tc_prod(_u14626, _u14628)), hAPP(hAPP(c_COMBS(_u14626, _u14628, tc_prod(_u14626, _u14628)), c_Product__Type_OPair(_u14626, _u14628)), hAPP(hAPP(c_COMBB(tc_Option_Ooption(_u14628), _u14628, _u14626), c_Option_Othe(_u14628)), _u14629))), _u14627)) = _u14629) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_set__Cons__def ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_set__Cons__def-1, axiom, ( ( c_List_Oset__Cons(_u14630, _u14631, _u14632) = hAPP(c_Set_OCollect(tc_List_Olist(_u14630)), hAPP(hAPP(c_COMBB(tc_fun(_u14630, tc_HOL_Obool), tc_HOL_Obool, tc_List_Olist(_u14630)), c_HOL_OEx(_u14630)), hAPP(hAPP(c_COMBB(tc_fun(_u14630, tc_fun(tc_List_Olist(_u14630), tc_HOL_Obool)), tc_fun(_u14630, tc_HOL_Obool), tc_List_Olist(_u14630)), hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14630), tc_HOL_Obool), tc_HOL_Obool, _u14630), c_HOL_OEx(tc_List_Olist(_u14630)))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14630), tc_fun(_u14630, tc_fun(tc_List_Olist(_u14630), tc_HOL_Obool)), tc_fun(_u14630, tc_fun(tc_List_Olist(_u14630), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14630, tc_fun(tc_fun(tc_List_Olist(_u14630), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14630), tc_HOL_Obool))), tc_fun(tc_fun(_u14630, tc_fun(tc_List_Olist(_u14630), tc_HOL_Obool)), tc_fun(_u14630, tc_fun(tc_List_Olist(_u14630), tc_HOL_Obool))), tc_List_Olist(_u14630)), c_COMBS(_u14630, tc_fun(tc_List_Olist(_u14630), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14630), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14630, tc_fun(tc_List_Olist(_u14630), tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u14630, tc_fun(tc_fun(tc_List_Olist(_u14630), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14630), tc_HOL_Obool))), tc_List_Olist(_u14630)), hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14630), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_List_Olist(_u14630), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14630), tc_HOL_Obool)), _u14630), c_COMBS(tc_List_Olist(_u14630), tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14630, tc_fun(tc_List_Olist(_u14630), tc_HOL_Obool)), tc_fun(_u14630, tc_fun(tc_List_Olist(_u14630), tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_List_Olist(_u14630)), hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14630), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14630), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u14630), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u14630)), c_fconj))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14630), tc_fun(_u14630, tc_fun(tc_List_Olist(_u14630), tc_List_Olist(_u14630))), tc_fun(_u14630, tc_fun(tc_List_Olist(_u14630), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_List_Olist(_u14630), tc_List_Olist(_u14630)), tc_fun(tc_List_Olist(_u14630), tc_HOL_Obool)), tc_fun(tc_fun(_u14630, tc_fun(tc_List_Olist(_u14630), tc_List_Olist(_u14630))), tc_fun(_u14630, tc_fun(tc_List_Olist(_u14630), tc_HOL_Obool))), tc_List_Olist(_u14630)), c_COMBB(tc_fun(tc_List_Olist(_u14630), tc_List_Olist(_u14630)), tc_fun(tc_List_Olist(_u14630), tc_HOL_Obool), _u14630)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14630), tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u14630), tc_List_Olist(_u14630)), tc_fun(tc_List_Olist(_u14630), tc_HOL_Obool)), tc_List_Olist(_u14630)), c_COMBB(tc_List_Olist(_u14630), tc_HOL_Obool, tc_List_Olist(_u14630))), c_fequal))), c_List_Olist_OCons(_u14630)))))), hAPP(hAPP(c_COMBC(_u14630, tc_fun(tc_List_Olist(_u14630), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14630), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u14630), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14630), tc_HOL_Obool)), _u14630), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u14630))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14630), c_fconj), hAPP(hAPP(c_COMBC(_u14630, tc_fun(_u14630, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14630)), _u14631)))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14630), tc_fun(tc_List_Olist(_u14630), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_List_Olist(_u14630))), _u14632))))))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_the_Osimps ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_the_Osimps-1, axiom, ( ( hAPP(c_Option_Othe(_u14633), hAPP(c_Option_Ooption_OSome(_u14633), _u14634)) = _u14634) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_product__list__set ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_product__list__set-1, axiom, ( ( hAPP(c_List_Oset(tc_prod(_u14635, _u14636)), c_Enum_Oproduct(_u14635, _u14636, _u14637, _u14638)) = hAPP(hAPP(c_Product__Type_OSigma(_u14635, _u14636), hAPP(c_List_Oset(_u14635), _u14637)), hAPP(c_COMBK(tc_fun(_u14636, tc_HOL_Obool), _u14635), hAPP(c_List_Oset(_u14636), _u14638)))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_ran__distinct ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_ran__distinct-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u14639), hAPP(hAPP(c_List_Omap(tc_prod(_u14639, _u14640), _u14639), c_Product__Type_Ofst(_u14639, _u14640)), _u14641))) | ( c_Map_Oran(_u14639, _u14640, hAPP(c_Map_Omap__of(_u14639, _u14640), _u14641)) = hAPP(c_Set_Oimage(tc_prod(_u14639, _u14640), _u14640, c_Product__Type_Osnd(_u14639, _u14640)), hAPP(c_List_Oset(tc_prod(_u14639, _u14640)), _u14641))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_distinct__product ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_distinct__product-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u14642), _u14643)) | ~hBOOL(hAPP(c_List_Odistinct(_u14644), _u14645)) | hBOOL(hAPP(c_List_Odistinct(tc_prod(_u14642, _u14644)), c_Enum_Oproduct(_u14642, _u14644, _u14643, _u14645))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_distinct_Osimps_I2_J ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_distinct_Osimps_I2_J-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u14649), hAPP(hAPP(c_List_Olist_OCons(_u14649), _u14651), _u14653))) | ~hBOOL(hAPP(hAPP(c_member(_u14649), _u14651), hAPP(c_List_Oset(_u14649), _u14653))) )).
% 39.89/40.09 cnf(fact_distinct_Osimps_I2_J-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u14649), hAPP(hAPP(c_List_Olist_OCons(_u14649), _u14651), _u14653))) | hBOOL(hAPP(c_List_Odistinct(_u14649), _u14653)) )).
% 39.89/40.09 cnf(fact_distinct_Osimps_I2_J-3, axiom, ( hBOOL(hAPP(hAPP(c_member(_u14650), _u14652), hAPP(c_List_Oset(_u14650), _u14654))) | ~hBOOL(hAPP(c_List_Odistinct(_u14650), _u14654)) | hBOOL(hAPP(c_List_Odistinct(_u14650), hAPP(hAPP(c_List_Olist_OCons(_u14650), _u14652), _u14654))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_distinct__map ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_distinct__map-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u14659), hAPP(hAPP(c_List_Omap(_u14661, _u14659), _u14663), _u14665))) | hBOOL(hAPP(c_List_Odistinct(_u14661), _u14665)) )).
% 39.89/40.09 cnf(fact_distinct__map-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u14659), hAPP(hAPP(c_List_Omap(_u14661, _u14659), _u14663), _u14665))) | c_Fun_Oinj__on(_u14661, _u14659, _u14663, hAPP(c_List_Oset(_u14661), _u14665)) )).
% 39.89/40.09 cnf(fact_distinct__map-3, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u14662), _u14666)) | ~c_Fun_Oinj__on(_u14662, _u14660, _u14664, hAPP(c_List_Oset(_u14662), _u14666)) | hBOOL(hAPP(c_List_Odistinct(_u14660), hAPP(hAPP(c_List_Omap(_u14662, _u14660), _u14664), _u14666))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_map__of__inject__set ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_map__of__inject__set-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u14667), hAPP(hAPP(c_List_Omap(tc_prod(_u14667, _u14668), _u14667), c_Product__Type_Ofst(_u14667, _u14668)), _u14669))) | ~hBOOL(hAPP(c_List_Odistinct(_u14667), hAPP(hAPP(c_List_Omap(tc_prod(_u14667, _u14668), _u14667), c_Product__Type_Ofst(_u14667, _u14668)), _u14670))) | ( hAPP(c_Map_Omap__of(_u14667, _u14668), _u14669) != hAPP(c_Map_Omap__of(_u14667, _u14668), _u14670)) | ( hAPP(c_List_Oset(tc_prod(_u14667, _u14668)), _u14669) = hAPP(c_List_Oset(tc_prod(_u14667, _u14668)), _u14670)) )).
% 39.89/40.09 cnf(fact_map__of__inject__set-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u14667), hAPP(hAPP(c_List_Omap(tc_prod(_u14667, _u14668), _u14667), c_Product__Type_Ofst(_u14667, _u14668)), _u14669))) | ~hBOOL(hAPP(c_List_Odistinct(_u14667), hAPP(hAPP(c_List_Omap(tc_prod(_u14667, _u14668), _u14667), c_Product__Type_Ofst(_u14667, _u14668)), _u14670))) | ( hAPP(c_List_Oset(tc_prod(_u14667, _u14668)), _u14669) != hAPP(c_List_Oset(tc_prod(_u14667, _u14668)), _u14670)) | ( hAPP(c_Map_Omap__of(_u14667, _u14668), _u14669) = hAPP(c_Map_Omap__of(_u14667, _u14668), _u14670)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_Some__eq__map__of__iff ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_Some__eq__map__of__iff-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u14671), hAPP(hAPP(c_List_Omap(tc_prod(_u14671, _u14672), _u14671), c_Product__Type_Ofst(_u14671, _u14672)), _u14673))) | ( hAPP(c_Option_Ooption_OSome(_u14672), _u14674) != hAPP(hAPP(c_Map_Omap__of(_u14671, _u14672), _u14673), _u14675)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14671, _u14672)), hAPP(hAPP(c_Product__Type_OPair(_u14671, _u14672), _u14675), _u14674)), hAPP(c_List_Oset(tc_prod(_u14671, _u14672)), _u14673))) )).
% 39.89/40.09 cnf(fact_Some__eq__map__of__iff-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u14671), hAPP(hAPP(c_List_Omap(tc_prod(_u14671, _u14672), _u14671), c_Product__Type_Ofst(_u14671, _u14672)), _u14673))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14671, _u14672)), hAPP(hAPP(c_Product__Type_OPair(_u14671, _u14672), _u14675), _u14674)), hAPP(c_List_Oset(tc_prod(_u14671, _u14672)), _u14673))) | ( hAPP(c_Option_Ooption_OSome(_u14672), _u14674) = hAPP(hAPP(c_Map_Omap__of(_u14671, _u14672), _u14673), _u14675)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_map__of__eq__Some__iff ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_map__of__eq__Some__iff-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u14676), hAPP(hAPP(c_List_Omap(tc_prod(_u14676, _u14677), _u14676), c_Product__Type_Ofst(_u14676, _u14677)), _u14678))) | ( hAPP(hAPP(c_Map_Omap__of(_u14676, _u14677), _u14678), _u14679) != hAPP(c_Option_Ooption_OSome(_u14677), _u14680)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14676, _u14677)), hAPP(hAPP(c_Product__Type_OPair(_u14676, _u14677), _u14679), _u14680)), hAPP(c_List_Oset(tc_prod(_u14676, _u14677)), _u14678))) )).
% 39.89/40.09 cnf(fact_map__of__eq__Some__iff-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u14676), hAPP(hAPP(c_List_Omap(tc_prod(_u14676, _u14677), _u14676), c_Product__Type_Ofst(_u14676, _u14677)), _u14678))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14676, _u14677)), hAPP(hAPP(c_Product__Type_OPair(_u14676, _u14677), _u14679), _u14680)), hAPP(c_List_Oset(tc_prod(_u14676, _u14677)), _u14678))) | ( hAPP(hAPP(c_Map_Omap__of(_u14676, _u14677), _u14678), _u14679) = hAPP(c_Option_Ooption_OSome(_u14677), _u14680)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_map__of__is__SomeI ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_map__of__is__SomeI-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u14681), hAPP(hAPP(c_List_Omap(tc_prod(_u14681, _u14682), _u14681), c_Product__Type_Ofst(_u14681, _u14682)), _u14683))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14681, _u14682)), hAPP(hAPP(c_Product__Type_OPair(_u14681, _u14682), _u14684), _u14685)), hAPP(c_List_Oset(tc_prod(_u14681, _u14682)), _u14683))) | ( hAPP(hAPP(c_Map_Omap__of(_u14681, _u14682), _u14683), _u14684) = hAPP(c_Option_Ooption_OSome(_u14682), _u14685)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_set__map__of__compr ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_set__map__of__compr-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u14686), hAPP(hAPP(c_List_Omap(tc_prod(_u14686, _u14687), _u14686), c_Product__Type_Ofst(_u14686, _u14687)), _u14688))) | ( hAPP(c_List_Oset(tc_prod(_u14686, _u14687)), _u14688) = hAPP(c_Set_OCollect(tc_prod(_u14686, _u14687)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14686, _u14687, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u14686, tc_fun(_u14687, tc_Option_Ooption(_u14687)), tc_fun(_u14687, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Option_Ooption(_u14687), tc_HOL_Obool), tc_fun(tc_fun(_u14687, tc_Option_Ooption(_u14687)), tc_fun(_u14687, tc_HOL_Obool)), _u14686), c_COMBB(tc_Option_Ooption(_u14687), tc_HOL_Obool, _u14687)), hAPP(hAPP(c_COMBB(tc_Option_Ooption(_u14687), tc_fun(tc_Option_Ooption(_u14687), tc_HOL_Obool), _u14686), c_fequal), hAPP(c_Map_Omap__of(_u14686, _u14687), _u14688)))), c_Option_Ooption_OSome(_u14687))))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_finite__lists__length__le ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_finite__lists__length__le-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14689), _u14690)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(_u14689)), hAPP(c_Set_OCollect(tc_List_Olist(_u14689)), hAPP(hAPP(c_COMBS(tc_List_Olist(_u14689), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u14689)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14689), tc_fun(_u14689, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u14689, tc_HOL_Obool), tc_fun(tc_fun(_u14689, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u14689)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u14689, tc_HOL_Obool))), c_List_Oset(_u14689))), _u14690))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14689), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u14689)), c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u14689)))), _u14691))))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_list_Osize_I2_J ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_list_Osize_I2_J-1, axiom, ( ( c_List_Olist_Olist__size(_u14692, _u14693, hAPP(hAPP(c_List_Olist_OCons(_u14692), _u14694), _u14695)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u14693, _u14694)), c_List_Olist_Olist__size(_u14692, _u14693, _u14695))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_list__size__map ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_list__size__map-1, axiom, ( ( c_List_Olist_Olist__size(_u14696, _u14697, hAPP(hAPP(c_List_Omap(_u14698, _u14696), _u14699), _u14700)) = c_List_Olist_Olist__size(_u14698, hAPP(c_Fun_Ocomp(_u14696, tc_Nat_Onat, _u14698, _u14697), _u14699), _u14700)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_length__map ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_length__map-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14701)), hAPP(hAPP(c_List_Omap(_u14702, _u14701), _u14703), _u14704)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14702)), _u14704)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_map__eq__imp__length__eq ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_map__eq__imp__length__eq-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u14705, _u14706), _u14707), _u14708) != hAPP(hAPP(c_List_Omap(_u14709, _u14706), _u14710), _u14711)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14705)), _u14708) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14709)), _u14711)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_neq__if__length__neq ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_neq__if__length__neq-1, axiom, ( ( _u14713 != _u14714) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14712)), _u14713) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14712)), _u14714)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_lexn__length ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_lexn__length-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14715), tc_List_Olist(_u14715))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14715), tc_List_Olist(_u14715)), _u14716), _u14717)), hAPP(c_List_Olexn(_u14715, _u14718), _u14719))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14715)), _u14716) = _u14719) )).
% 39.89/40.09 cnf(fact_lexn__length-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14715), tc_List_Olist(_u14715))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14715), tc_List_Olist(_u14715)), _u14716), _u14717)), hAPP(c_List_Olexn(_u14715, _u14718), _u14719))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14715)), _u14717) = _u14719) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_impossible__Cons ( axiom ) converted to clauses:
% 39.89/40.09 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(_u14720)), _u14721)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14720)), _u14722))) | ( _u14721 != hAPP(hAPP(c_List_Olist_OCons(_u14720), _u14723), _u14722)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_card__length ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_card__length-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u14724), hAPP(c_List_Oset(_u14724), _u14725))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14724)), _u14725))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_card__distinct ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_card__distinct-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u14726), hAPP(c_List_Oset(_u14726), _u14727)) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14726)), _u14727)) | hBOOL(hAPP(c_List_Odistinct(_u14726), _u14727)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_distinct__card ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_distinct__card-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u14728), _u14729)) | ( hAPP(c_Finite__Set_Ocard(_u14728), hAPP(c_List_Oset(_u14728), _u14729)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14728)), _u14729)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_lexn_Osimps_I2_J ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_lexn_Osimps_I2_J-1, axiom, ( ( hAPP(c_List_Olexn(_u14730, _u14731), hAPP(c_Nat_OSuc, _u14732)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(tc_List_Olist(_u14730), tc_List_Olist(_u14730)), tc_HOL_Obool)), hAPP(c_Set_Oimage(tc_prod(tc_prod(_u14730, tc_List_Olist(_u14730)), tc_prod(_u14730, tc_List_Olist(_u14730))), tc_prod(tc_List_Olist(_u14730), tc_List_Olist(_u14730)), c_Product__Type_Omap__pair(tc_prod(_u14730, tc_List_Olist(_u14730)), tc_List_Olist(_u14730), tc_prod(_u14730, tc_List_Olist(_u14730)), tc_List_Olist(_u14730), hAPP(c_Product__Type_Oprod_Oprod__case(_u14730, tc_List_Olist(_u14730), tc_List_Olist(_u14730)), c_List_Olist_OCons(_u14730)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14730, tc_List_Olist(_u14730), tc_List_Olist(_u14730)), c_List_Olist_OCons(_u14730)))), c_Wellfounded_Olex__prod(_u14730, tc_List_Olist(_u14730), _u14731, hAPP(c_List_Olexn(_u14730, _u14731), _u14732)))), hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(_u14730), tc_List_Olist(_u14730))), hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u14730), tc_List_Olist(_u14730), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14730), tc_fun(tc_List_Olist(_u14730), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14730), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u14730), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14730), tc_HOL_Obool)), tc_List_Olist(_u14730)), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u14730))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u14730)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14730), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u14730)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u14730)))), hAPP(c_Nat_OSuc, _u14732))))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14730), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u14730)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u14730)))), hAPP(c_Nat_OSuc, _u14732))))))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_length__pos__if__in__set ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_length__pos__if__in__set-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u14733), _u14734), hAPP(c_List_Oset(_u14733), _u14735))) | 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(_u14733)), _u14735))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_list_Osize_I4_J ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_list_Osize_I4_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14736)), hAPP(hAPP(c_List_Olist_OCons(_u14736), _u14737), _u14738)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14736)), _u14738)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_Cons__in__lex ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_Cons__in__lex-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14745), tc_List_Olist(_u14745))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14745), tc_List_Olist(_u14745)), hAPP(hAPP(c_List_Olist_OCons(_u14745), _u14747), _u14749)), hAPP(hAPP(c_List_Olist_OCons(_u14745), _u14751), _u14753))), c_List_Olex(_u14745, _u14755))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14745, _u14745)), hAPP(hAPP(c_Product__Type_OPair(_u14745, _u14745), _u14747), _u14751)), _u14755)) | ( _u14747 = _u14751) )).
% 39.89/40.09 cnf(fact_Cons__in__lex-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14745), tc_List_Olist(_u14745))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14745), tc_List_Olist(_u14745)), hAPP(hAPP(c_List_Olist_OCons(_u14745), _u14747), _u14749)), hAPP(hAPP(c_List_Olist_OCons(_u14745), _u14751), _u14753))), c_List_Olex(_u14745, _u14755))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14745, _u14745)), hAPP(hAPP(c_Product__Type_OPair(_u14745, _u14745), _u14747), _u14751)), _u14755)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14745), tc_List_Olist(_u14745))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14745), tc_List_Olist(_u14745)), _u14749), _u14753)), c_List_Olex(_u14745, _u14755))) )).
% 39.89/40.09 cnf(fact_Cons__in__lex-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14745), tc_List_Olist(_u14745))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14745), tc_List_Olist(_u14745)), hAPP(hAPP(c_List_Olist_OCons(_u14745), _u14747), _u14749)), hAPP(hAPP(c_List_Olist_OCons(_u14745), _u14751), _u14753))), c_List_Olex(_u14745, _u14755))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14745)), _u14749) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14745)), _u14753)) | ( _u14747 = _u14751) )).
% 39.89/40.09 cnf(fact_Cons__in__lex-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14745), tc_List_Olist(_u14745))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14745), tc_List_Olist(_u14745)), hAPP(hAPP(c_List_Olist_OCons(_u14745), _u14747), _u14749)), hAPP(hAPP(c_List_Olist_OCons(_u14745), _u14751), _u14753))), c_List_Olex(_u14745, _u14755))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14745)), _u14749) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14745)), _u14753)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14745), tc_List_Olist(_u14745))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14745), tc_List_Olist(_u14745)), _u14749), _u14753)), c_List_Olex(_u14745, _u14755))) )).
% 39.89/40.09 cnf(fact_Cons__in__lex-5, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14746), tc_List_Olist(_u14746))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14746), tc_List_Olist(_u14746)), hAPP(hAPP(c_List_Olist_OCons(_u14746), _u14748), _u14750)), hAPP(hAPP(c_List_Olist_OCons(_u14746), _u14752), _u14754))), c_List_Olex(_u14746, _u14756))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14746, _u14746)), hAPP(hAPP(c_Product__Type_OPair(_u14746, _u14746), _u14748), _u14752)), _u14756)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14746)), _u14750) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14746)), _u14754)) )).
% 39.89/40.09 cnf(fact_Cons__in__lex-6, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14746), tc_List_Olist(_u14746))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14746), tc_List_Olist(_u14746)), hAPP(hAPP(c_List_Olist_OCons(_u14746), _u14748), _u14750)), hAPP(hAPP(c_List_Olist_OCons(_u14746), _u14752), _u14754))), c_List_Olex(_u14746, _u14756))) | ( _u14748 != _u14752) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14746), tc_List_Olist(_u14746))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14746), tc_List_Olist(_u14746)), _u14750), _u14754)), c_List_Olex(_u14746, _u14756))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_lenlex__conv ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_lenlex__conv-1, axiom, ( ( c_List_Olenlex(_u14757, _u14758) = hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(_u14757), tc_List_Olist(_u14757))), hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u14757), tc_List_Olist(_u14757), tc_HOL_Obool), hAPP(hAPP(c_COMBS(tc_List_Olist(_u14757), tc_fun(tc_List_Olist(_u14757), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14757), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14757), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_List_Olist(_u14757), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14757), tc_HOL_Obool)), tc_List_Olist(_u14757)), c_COMBS(tc_List_Olist(_u14757), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14757), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14757), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_List_Olist(_u14757)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u14757)), c_fdisj)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14757), tc_fun(tc_List_Olist(_u14757), tc_Nat_Onat), tc_fun(tc_List_Olist(_u14757), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u14757), tc_Nat_Onat), tc_fun(tc_List_Olist(_u14757), tc_HOL_Obool)), tc_List_Olist(_u14757)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u14757))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u14757)), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u14757))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u14757)))))), hAPP(hAPP(c_COMBS(tc_List_Olist(_u14757), tc_fun(tc_List_Olist(_u14757), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14757), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14757), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_List_Olist(_u14757), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14757), tc_HOL_Obool)), tc_List_Olist(_u14757)), c_COMBS(tc_List_Olist(_u14757), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14757), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14757), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_List_Olist(_u14757)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u14757)), c_fconj)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14757), tc_fun(tc_List_Olist(_u14757), tc_Nat_Onat), tc_fun(tc_List_Olist(_u14757), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u14757), tc_Nat_Onat), tc_fun(tc_List_Olist(_u14757), tc_HOL_Obool)), tc_List_Olist(_u14757)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u14757))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u14757)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u14757))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u14757)))))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14757), tc_fun(tc_prod(tc_List_Olist(_u14757), tc_List_Olist(_u14757)), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14757), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14757), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u14757), tc_List_Olist(_u14757)), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u14757), tc_List_Olist(_u14757)), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14757), tc_HOL_Obool)), tc_List_Olist(_u14757)), c_COMBC(tc_List_Olist(_u14757), tc_fun(tc_prod(tc_List_Olist(_u14757), tc_List_Olist(_u14757)), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14757), tc_prod(tc_List_Olist(_u14757), tc_List_Olist(_u14757))), tc_fun(tc_List_Olist(_u14757), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u14757), tc_List_Olist(_u14757)), tc_HOL_Obool), tc_HOL_Obool)), tc_List_Olist(_u14757)), hAPP(c_COMBB(tc_prod(tc_List_Olist(_u14757), tc_List_Olist(_u14757)), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u14757), tc_List_Olist(_u14757)), tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u14757)), c_member(tc_prod(tc_List_Olist(_u14757), tc_List_Olist(_u14757))))), c_Product__Type_OPair(tc_List_Olist(_u14757), tc_List_Olist(_u14757))))), c_List_Olex(_u14757, _u14758))))))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_lenlex__def ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_lenlex__def-1, axiom, ( ( c_List_Olenlex(_u14759, _u14760) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat, tc_List_Olist(_u14759)), tc_List_Olist(_u14759)), c_Wellfounded_Olex__prod(tc_Nat_Onat, tc_List_Olist(_u14759), c_Wellfounded_Oless__than, c_List_Olex(_u14759, _u14760))), hAPP(hAPP(c_COMBS(tc_List_Olist(_u14759), tc_List_Olist(_u14759), tc_prod(tc_Nat_Onat, tc_List_Olist(_u14759))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_List_Olist(_u14759), tc_prod(tc_Nat_Onat, tc_List_Olist(_u14759))), tc_List_Olist(_u14759)), c_Product__Type_OPair(tc_Nat_Onat, tc_List_Olist(_u14759))), c_Nat_Osize__class_Osize(tc_List_Olist(_u14759)))), c_COMBI(tc_List_Olist(_u14759))))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_list__size__estimation ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_list__size__estimation-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u14761), _u14762), hAPP(c_List_Oset(_u14761), _u14763))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14764), hAPP(_u14765, _u14762))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14764), c_List_Olist_Olist__size(_u14761, _u14765, _u14763))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_list__size__estimation_H ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_list__size__estimation_H-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u14766), _u14767), hAPP(c_List_Oset(_u14766), _u14768))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u14769), hAPP(_u14770, _u14767))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u14769), c_List_Olist_Olist__size(_u14766, _u14770, _u14768))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_finite__lists__length__eq ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_finite__lists__length__eq-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14771), _u14772)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(_u14771)), hAPP(c_Set_OCollect(tc_List_Olist(_u14771)), hAPP(hAPP(c_COMBS(tc_List_Olist(_u14771), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u14771)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14771), tc_fun(_u14771, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u14771, tc_HOL_Obool), tc_fun(tc_fun(_u14771, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u14771)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u14771, tc_HOL_Obool))), c_List_Oset(_u14771))), _u14772))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14771), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u14771)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u14771)))), _u14773))))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_length__sublists ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_length__sublists-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u14774))), c_Enum_Osublists(_u14774, _u14775)) = 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(_u14774)), _u14775))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_length__sublist ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_length__sublist-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14776)), c_List_Osublist(_u14776, _u14777, _u14778)) = 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(_u14776)), _u14777)))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool), c_member(tc_Nat_Onat)), _u14778))))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_distinct__sublistI ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_distinct__sublistI-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u14779), _u14780)) | hBOOL(hAPP(c_List_Odistinct(_u14779), c_List_Osublist(_u14779, _u14780, _u14781))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_notin__set__sublistI ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_notin__set__sublistI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u14782), _u14783), hAPP(c_List_Oset(_u14782), _u14784))) | ~hBOOL(hAPP(hAPP(c_member(_u14782), _u14783), hAPP(c_List_Oset(_u14782), c_List_Osublist(_u14782, _u14784, _u14785)))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_in__set__sublistD ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_in__set__sublistD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u14786), _u14787), hAPP(c_List_Oset(_u14786), c_List_Osublist(_u14786, _u14788, _u14789)))) | hBOOL(hAPP(hAPP(c_member(_u14786), _u14787), hAPP(c_List_Oset(_u14786), _u14788))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_set__sublist__subset ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_set__sublist__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14790, tc_HOL_Obool)), hAPP(c_List_Oset(_u14790), c_List_Osublist(_u14790, _u14791, _u14792))), hAPP(c_List_Oset(_u14790), _u14791))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_distinct__set__sublists ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_distinct__set__sublists-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u14793), _u14794)) | hBOOL(hAPP(c_List_Odistinct(tc_fun(_u14793, tc_HOL_Obool)), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u14793), tc_fun(_u14793, tc_HOL_Obool)), c_List_Oset(_u14793)), c_Enum_Osublists(_u14793, _u14794)))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_sublists__powset ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_sublists__powset-1, axiom, ( ( hAPP(c_Set_Oimage(tc_List_Olist(_u14795), tc_fun(_u14795, tc_HOL_Obool), c_List_Oset(_u14795)), hAPP(c_List_Oset(tc_List_Olist(_u14795)), c_Enum_Osublists(_u14795, _u14796))) = hAPP(c_Set_OPow(_u14795), hAPP(c_List_Oset(_u14795), _u14796))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_set__n__lists ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_set__n__lists-1, axiom, ( ( hAPP(c_List_Oset(tc_List_Olist(_u14797)), c_Enum_On__lists(_u14797, _u14798, _u14799)) = hAPP(c_Set_OCollect(tc_List_Olist(_u14797)), hAPP(hAPP(c_COMBS(tc_List_Olist(_u14797), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u14797)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14797), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u14797)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u14797)))), _u14798))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14797), tc_fun(_u14797, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u14797, tc_HOL_Obool), tc_fun(tc_fun(_u14797, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u14797)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u14797, tc_HOL_Obool))), c_List_Oset(_u14797))), hAPP(c_List_Oset(_u14797), _u14799))))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_lexord__cons__cons ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_lexord__cons__cons-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14806), tc_List_Olist(_u14806))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14806), tc_List_Olist(_u14806)), hAPP(hAPP(c_List_Olist_OCons(_u14806), _u14808), _u14810)), hAPP(hAPP(c_List_Olist_OCons(_u14806), _u14812), _u14814))), c_List_Olexord(_u14806, _u14816))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14806, _u14806)), hAPP(hAPP(c_Product__Type_OPair(_u14806, _u14806), _u14808), _u14812)), _u14816)) | ( _u14808 = _u14812) )).
% 39.89/40.09 cnf(fact_lexord__cons__cons-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14806), tc_List_Olist(_u14806))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14806), tc_List_Olist(_u14806)), hAPP(hAPP(c_List_Olist_OCons(_u14806), _u14808), _u14810)), hAPP(hAPP(c_List_Olist_OCons(_u14806), _u14812), _u14814))), c_List_Olexord(_u14806, _u14816))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14806, _u14806)), hAPP(hAPP(c_Product__Type_OPair(_u14806, _u14806), _u14808), _u14812)), _u14816)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14806), tc_List_Olist(_u14806))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14806), tc_List_Olist(_u14806)), _u14810), _u14814)), c_List_Olexord(_u14806, _u14816))) )).
% 39.89/40.09 cnf(fact_lexord__cons__cons-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14807), tc_List_Olist(_u14807))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14807), tc_List_Olist(_u14807)), hAPP(hAPP(c_List_Olist_OCons(_u14807), _u14809), _u14811)), hAPP(hAPP(c_List_Olist_OCons(_u14807), _u14813), _u14815))), c_List_Olexord(_u14807, _u14817))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14807, _u14807)), hAPP(hAPP(c_Product__Type_OPair(_u14807, _u14807), _u14809), _u14813)), _u14817)) )).
% 39.89/40.09 cnf(fact_lexord__cons__cons-4, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14807), tc_List_Olist(_u14807))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14807), tc_List_Olist(_u14807)), hAPP(hAPP(c_List_Olist_OCons(_u14807), _u14809), _u14811)), hAPP(hAPP(c_List_Olist_OCons(_u14807), _u14813), _u14815))), c_List_Olexord(_u14807, _u14817))) | ( _u14809 != _u14813) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14807), tc_List_Olist(_u14807))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14807), tc_List_Olist(_u14807)), _u14811), _u14815)), c_List_Olexord(_u14807, _u14817))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_distinct__n__lists ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_distinct__n__lists-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u14818), _u14819)) | hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u14818)), c_Enum_On__lists(_u14818, _u14820, _u14819))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_length__n__lists__elem ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_length__n__lists__elem-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u14821)), _u14822), hAPP(c_List_Oset(tc_List_Olist(_u14821)), c_Enum_On__lists(_u14821, _u14823, _u14824)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14821)), _u14822) = _u14823) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_length__n__lists ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_length__n__lists-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u14825))), c_Enum_On__lists(_u14825, _u14826, _u14827)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14825)), _u14827)), _u14826)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_lexord__lex ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_lexord__lex-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14832), tc_List_Olist(_u14832))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14832), tc_List_Olist(_u14832)), _u14834), _u14836)), c_List_Olex(_u14832, _u14838))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14832), tc_List_Olist(_u14832))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14832), tc_List_Olist(_u14832)), _u14834), _u14836)), c_List_Olexord(_u14832, _u14838))) )).
% 39.89/40.09 cnf(fact_lexord__lex-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14832), tc_List_Olist(_u14832))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14832), tc_List_Olist(_u14832)), _u14834), _u14836)), c_List_Olex(_u14832, _u14838))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14832)), _u14834) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14832)), _u14836)) )).
% 39.89/40.09 cnf(fact_lexord__lex-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14833), tc_List_Olist(_u14833))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14833), tc_List_Olist(_u14833)), _u14835), _u14837)), c_List_Olexord(_u14833, _u14839))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14833)), _u14835) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14833)), _u14837)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14833), tc_List_Olist(_u14833))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14833), tc_List_Olist(_u14833)), _u14835), _u14837)), c_List_Olex(_u14833, _u14839))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_listrel__Cons ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_listrel__Cons-1, axiom, ( ( hAPP(c_Relation_OImage(tc_List_Olist(_u14840), tc_List_Olist(_u14840), c_List_Olistrel(_u14840, _u14841)), hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u14840)), hAPP(hAPP(c_List_Olist_OCons(_u14840), _u14842), _u14843)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u14840), tc_HOL_Obool)))) = c_List_Oset__Cons(_u14840, hAPP(c_Relation_OImage(_u14840, _u14840, _u14841), hAPP(hAPP(c_Set_Oinsert(_u14840), _u14842), c_Orderings_Obot__class_Obot(tc_fun(_u14840, tc_HOL_Obool)))), hAPP(c_Relation_OImage(tc_List_Olist(_u14840), tc_List_Olist(_u14840), c_List_Olistrel(_u14840, _u14841)), hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u14840)), _u14843), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u14840), tc_HOL_Obool)))))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_greaterThanLessThan__upto ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_greaterThanLessThan__upto-1, axiom, ( ( c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u14844, _u14845) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u14844), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u14845), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_atLeastAtMost__upto ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_atLeastAtMost__upto-1, axiom, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u14846, _u14847) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u14846, _u14847))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_set__upto ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_set__upto-1, axiom, ( ( hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u14848, _u14849)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u14848, _u14849)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_distinct__upto ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_distinct__upto-1, axiom, ( hBOOL(hAPP(c_List_Odistinct(tc_Int_Oint), c_List_Oupto(_u14850, _u14851))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_listrel__mono ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_listrel__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14852, _u14852), tc_HOL_Obool)), _u14853), _u14854)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u14852), tc_List_Olist(_u14852)), tc_HOL_Obool)), c_List_Olistrel(_u14852, _u14853)), c_List_Olistrel(_u14852, _u14854))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_listrel__eq__len ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_listrel__eq__len-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14855), tc_List_Olist(_u14855))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14855), tc_List_Olist(_u14855)), _u14856), _u14857)), c_List_Olistrel(_u14855, _u14858))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14855)), _u14856) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14855)), _u14857)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_atLeastLessThan__upto ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_atLeastLessThan__upto-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u14859), _u14860) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u14859, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u14860), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_greaterThanAtMost__upto ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_greaterThanAtMost__upto-1, axiom, ( ( c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u14861, _u14862) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u14861), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u14862))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_listrel_OCons ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_listrel_OCons-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14863, _u14863)), hAPP(hAPP(c_Product__Type_OPair(_u14863, _u14863), _u14864), _u14865)), _u14866)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14863), tc_List_Olist(_u14863))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14863), tc_List_Olist(_u14863)), _u14867), _u14868)), c_List_Olistrel(_u14863, _u14866))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14863), tc_List_Olist(_u14863))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14863), tc_List_Olist(_u14863)), hAPP(hAPP(c_List_Olist_OCons(_u14863), _u14864), _u14867)), hAPP(hAPP(c_List_Olist_OCons(_u14863), _u14865), _u14868))), c_List_Olistrel(_u14863, _u14866))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_nat__list__def ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_nat__list__def-1, axiom, ( ~c_List_Onat__list(_u14870) | c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint), _u14870)) )).
% 39.89/40.09 cnf(fact_nat__list__def-2, axiom, ( ~c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint), _u14871)) | c_List_Onat__list(_u14871) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_listrelp__listrel__eq ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_listrelp__listrel__eq-1, axiom, ( ~c_List_Olistrelp(_u14876, hAPP(hAPP(c_COMBC(_u14876, tc_fun(tc_prod(_u14876, _u14876), tc_HOL_Obool), tc_fun(_u14876, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14876, tc_fun(tc_fun(tc_prod(_u14876, _u14876), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14876, _u14876), tc_HOL_Obool), tc_fun(_u14876, tc_HOL_Obool)), _u14876), c_COMBC(_u14876, tc_fun(tc_prod(_u14876, _u14876), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14876, tc_prod(_u14876, _u14876)), tc_fun(_u14876, tc_fun(tc_fun(tc_prod(_u14876, _u14876), tc_HOL_Obool), tc_HOL_Obool)), _u14876), hAPP(c_COMBB(tc_prod(_u14876, _u14876), tc_fun(tc_fun(tc_prod(_u14876, _u14876), tc_HOL_Obool), tc_HOL_Obool), _u14876), c_member(tc_prod(_u14876, _u14876)))), c_Product__Type_OPair(_u14876, _u14876)))), _u14878), _u14880, _u14882) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14876), tc_List_Olist(_u14876))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14876), tc_List_Olist(_u14876)), _u14880), _u14882)), c_List_Olistrel(_u14876, _u14878))) )).
% 39.89/40.09 cnf(fact_listrelp__listrel__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14877), tc_List_Olist(_u14877))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14877), tc_List_Olist(_u14877)), _u14881), _u14883)), c_List_Olistrel(_u14877, _u14879))) | c_List_Olistrelp(_u14877, hAPP(hAPP(c_COMBC(_u14877, tc_fun(tc_prod(_u14877, _u14877), tc_HOL_Obool), tc_fun(_u14877, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14877, tc_fun(tc_fun(tc_prod(_u14877, _u14877), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14877, _u14877), tc_HOL_Obool), tc_fun(_u14877, tc_HOL_Obool)), _u14877), c_COMBC(_u14877, tc_fun(tc_prod(_u14877, _u14877), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14877, tc_prod(_u14877, _u14877)), tc_fun(_u14877, tc_fun(tc_fun(tc_prod(_u14877, _u14877), tc_HOL_Obool), tc_HOL_Obool)), _u14877), hAPP(c_COMBB(tc_prod(_u14877, _u14877), tc_fun(tc_fun(tc_prod(_u14877, _u14877), tc_HOL_Obool), tc_HOL_Obool), _u14877), c_member(tc_prod(_u14877, _u14877)))), c_Product__Type_OPair(_u14877, _u14877)))), _u14879), _u14881, _u14883) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_listrelp_Oequations_I2_J ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_listrelp_Oequations_I2_J-1, axiom, ( ~c_List_Olistrelp(_u14890, _u14892, hAPP(hAPP(c_List_Olist_OCons(_u14890), _u14894), _u14896), hAPP(hAPP(c_List_Olist_OCons(_u14890), _u14898), _u14900)) | hBOOL(hAPP(hAPP(_u14892, _u14894), _u14898)) )).
% 39.89/40.09 cnf(fact_listrelp_Oequations_I2_J-2, axiom, ( ~c_List_Olistrelp(_u14890, _u14892, hAPP(hAPP(c_List_Olist_OCons(_u14890), _u14894), _u14896), hAPP(hAPP(c_List_Olist_OCons(_u14890), _u14898), _u14900)) | c_List_Olistrelp(_u14890, _u14892, _u14896, _u14900) )).
% 39.89/40.09 cnf(fact_listrelp_Oequations_I2_J-3, axiom, ( ~hBOOL(hAPP(hAPP(_u14893, _u14895), _u14899)) | ~c_List_Olistrelp(_u14891, _u14893, _u14897, _u14901) | c_List_Olistrelp(_u14891, _u14893, hAPP(hAPP(c_List_Olist_OCons(_u14891), _u14895), _u14897), hAPP(hAPP(c_List_Olist_OCons(_u14891), _u14899), _u14901)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_listrelp_OCons ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_listrelp_OCons-1, axiom, ( ~hBOOL(hAPP(hAPP(_u14902, _u14903), _u14904)) | ~c_List_Olistrelp(_u14905, _u14902, _u14906, _u14907) | c_List_Olistrelp(_u14905, _u14902, hAPP(hAPP(c_List_Olist_OCons(_u14905), _u14903), _u14906), hAPP(hAPP(c_List_Olist_OCons(_u14905), _u14904), _u14907)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_listrel__iff__zip ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_listrel__iff__zip-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14914), tc_List_Olist(_u14914))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14914), tc_List_Olist(_u14914)), _u14916), _u14918)), c_List_Olistrel(_u14914, _u14920))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14914)), _u14916) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14914)), _u14918)) )).
% 39.89/40.09 cnf(fact_listrel__iff__zip-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14914), tc_List_Olist(_u14914))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14914), tc_List_Olist(_u14914)), _u14916), _u14918)), c_List_Olistrel(_u14914, _u14920))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14914, _u14914)), _u14908), hAPP(c_List_Oset(tc_prod(_u14914, _u14914)), hAPP(hAPP(c_List_Ozip(_u14914, _u14914), _u14916), _u14918)))) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u14914, _u14914, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u14914, tc_fun(tc_prod(_u14914, _u14914), tc_HOL_Obool), tc_fun(_u14914, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14914, tc_fun(tc_fun(tc_prod(_u14914, _u14914), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14914, _u14914), tc_HOL_Obool), tc_fun(_u14914, tc_HOL_Obool)), _u14914), c_COMBC(_u14914, tc_fun(tc_prod(_u14914, _u14914), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14914, tc_prod(_u14914, _u14914)), tc_fun(_u14914, tc_fun(tc_fun(tc_prod(_u14914, _u14914), tc_HOL_Obool), tc_HOL_Obool)), _u14914), hAPP(c_COMBB(tc_prod(_u14914, _u14914), tc_fun(tc_fun(tc_prod(_u14914, _u14914), tc_HOL_Obool), tc_HOL_Obool), _u14914), c_member(tc_prod(_u14914, _u14914)))), c_Product__Type_OPair(_u14914, _u14914)))), _u14920)), _u14908)) )).
% 39.89/40.09 cnf(fact_listrel__iff__zip-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14915), tc_List_Olist(_u14915))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14915), tc_List_Olist(_u14915)), _u14917), _u14919)), c_List_Olistrel(_u14915, _u14921))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14915)), _u14917) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14915)), _u14919)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14915, _u14915)), skolem348(_u14921, _u14919, _u14917, _u14915)), hAPP(c_List_Oset(tc_prod(_u14915, _u14915)), hAPP(hAPP(c_List_Ozip(_u14915, _u14915), _u14917), _u14919)))) )).
% 39.89/40.09 cnf(fact_listrel__iff__zip-4, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14915), tc_List_Olist(_u14915))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14915), tc_List_Olist(_u14915)), _u14917), _u14919)), c_List_Olistrel(_u14915, _u14921))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14915)), _u14917) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14915)), _u14919)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u14915, _u14915, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u14915, tc_fun(tc_prod(_u14915, _u14915), tc_HOL_Obool), tc_fun(_u14915, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14915, tc_fun(tc_fun(tc_prod(_u14915, _u14915), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14915, _u14915), tc_HOL_Obool), tc_fun(_u14915, tc_HOL_Obool)), _u14915), c_COMBC(_u14915, tc_fun(tc_prod(_u14915, _u14915), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14915, tc_prod(_u14915, _u14915)), tc_fun(_u14915, tc_fun(tc_fun(tc_prod(_u14915, _u14915), tc_HOL_Obool), tc_HOL_Obool)), _u14915), hAPP(c_COMBB(tc_prod(_u14915, _u14915), tc_fun(tc_fun(tc_prod(_u14915, _u14915), tc_HOL_Obool), tc_HOL_Obool), _u14915), c_member(tc_prod(_u14915, _u14915)))), c_Product__Type_OPair(_u14915, _u14915)))), _u14921)), skolem348(_u14921, _u14919, _u14917, _u14915))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_listrel__Cons2 ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_listrel__Cons2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14924), tc_List_Olist(_u14924))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14924), tc_List_Olist(_u14924)), _u14925), hAPP(hAPP(c_List_Olist_OCons(_u14924), _u14926), _u14927))), c_List_Olistrel(_u14924, _u14928))) | ( _u14925 = hAPP(hAPP(c_List_Olist_OCons(_u14924), skolem349(_u14928, _u14927, _u14926, _u14925, _u14924)), skolem350(_u14928, _u14927, _u14926, _u14925, _u14924))) )).
% 39.89/40.09 cnf(fact_listrel__Cons2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14924), tc_List_Olist(_u14924))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14924), tc_List_Olist(_u14924)), _u14925), hAPP(hAPP(c_List_Olist_OCons(_u14924), _u14926), _u14927))), c_List_Olistrel(_u14924, _u14928))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14924, _u14924)), hAPP(hAPP(c_Product__Type_OPair(_u14924, _u14924), skolem349(_u14928, _u14927, _u14926, _u14925, _u14924)), _u14926)), _u14928)) )).
% 39.89/40.09 cnf(fact_listrel__Cons2-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14924), tc_List_Olist(_u14924))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14924), tc_List_Olist(_u14924)), _u14925), hAPP(hAPP(c_List_Olist_OCons(_u14924), _u14926), _u14927))), c_List_Olistrel(_u14924, _u14928))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14924), tc_List_Olist(_u14924))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14924), tc_List_Olist(_u14924)), skolem350(_u14928, _u14927, _u14926, _u14925, _u14924)), _u14927)), c_List_Olistrel(_u14924, _u14928))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_length__zip ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_length__zip-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_prod(_u14929, _u14930))), hAPP(hAPP(c_List_Ozip(_u14929, _u14930), _u14931), _u14932)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14929)), _u14931)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14930)), _u14932))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_zip__same__conv__map ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_zip__same__conv__map-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u14933, _u14933), _u14934), _u14934) = hAPP(hAPP(c_List_Omap(_u14933, tc_prod(_u14933, _u14933)), hAPP(hAPP(c_COMBS(_u14933, _u14933, tc_prod(_u14933, _u14933)), c_Product__Type_OPair(_u14933, _u14933)), c_COMBI(_u14933))), _u14934)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_distinct__zipI1 ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_distinct__zipI1-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u14935), _u14936)) | hBOOL(hAPP(c_List_Odistinct(tc_prod(_u14935, _u14937)), hAPP(hAPP(c_List_Ozip(_u14935, _u14937), _u14936), _u14938))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_distinct__zipI2 ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_distinct__zipI2-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u14939), _u14940)) | hBOOL(hAPP(c_List_Odistinct(tc_prod(_u14941, _u14939)), hAPP(hAPP(c_List_Ozip(_u14941, _u14939), _u14942), _u14940))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_map__of__zip__inject ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_map__of__zip__inject-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14943)), _u14944) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14945)), _u14946)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14943)), _u14947) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14945)), _u14946)) | ~hBOOL(hAPP(c_List_Odistinct(_u14945), _u14946)) | ( hAPP(c_Map_Omap__of(_u14945, _u14943), hAPP(hAPP(c_List_Ozip(_u14945, _u14943), _u14946), _u14944)) != hAPP(c_Map_Omap__of(_u14945, _u14943), hAPP(hAPP(c_List_Ozip(_u14945, _u14943), _u14946), _u14947))) | ( _u14944 = _u14947) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_map__fst__zip ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_map__fst__zip-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14948)), _u14949) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14950)), _u14951)) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u14948, _u14950), _u14948), c_Product__Type_Ofst(_u14948, _u14950)), hAPP(hAPP(c_List_Ozip(_u14948, _u14950), _u14949), _u14951)) = _u14949) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_map__snd__zip ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_map__snd__zip-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14952)), _u14953) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14954)), _u14955)) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u14952, _u14954), _u14954), c_Product__Type_Osnd(_u14952, _u14954)), hAPP(hAPP(c_List_Ozip(_u14952, _u14954), _u14953), _u14955)) = _u14955) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_zip__map__fst__snd ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_zip__map__fst__snd-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u14956, _u14957), hAPP(hAPP(c_List_Omap(tc_prod(_u14956, _u14957), _u14956), c_Product__Type_Ofst(_u14956, _u14957)), _u14958)), hAPP(hAPP(c_List_Omap(tc_prod(_u14956, _u14957), _u14957), c_Product__Type_Osnd(_u14956, _u14957)), _u14958)) = _u14958) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_zip__Cons__Cons ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_zip__Cons__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u14959, _u14960), hAPP(hAPP(c_List_Olist_OCons(_u14959), _u14961), _u14962)), hAPP(hAPP(c_List_Olist_OCons(_u14960), _u14963), _u14964)) = hAPP(hAPP(c_List_Olist_OCons(tc_prod(_u14959, _u14960)), hAPP(hAPP(c_Product__Type_OPair(_u14959, _u14960), _u14961), _u14963)), hAPP(hAPP(c_List_Ozip(_u14959, _u14960), _u14962), _u14964))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_zip__eq__conv ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_zip__eq__conv-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14965)), _u14966) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14967)), _u14968)) | ( hAPP(hAPP(c_List_Ozip(_u14965, _u14967), _u14966), _u14968) != _u14969) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u14965, _u14967), _u14965), c_Product__Type_Ofst(_u14965, _u14967)), _u14969) = _u14966) )).
% 39.89/40.09 cnf(fact_zip__eq__conv-2, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14965)), _u14966) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14967)), _u14968)) | ( hAPP(hAPP(c_List_Ozip(_u14965, _u14967), _u14966), _u14968) != _u14969) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u14965, _u14967), _u14967), c_Product__Type_Osnd(_u14965, _u14967)), _u14969) = _u14968) )).
% 39.89/40.09 cnf(fact_zip__eq__conv-3, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14965)), _u14966) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14967)), _u14968)) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u14965, _u14967), _u14965), c_Product__Type_Ofst(_u14965, _u14967)), _u14969) != _u14966) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u14965, _u14967), _u14967), c_Product__Type_Osnd(_u14965, _u14967)), _u14969) != _u14968) | ( hAPP(hAPP(c_List_Ozip(_u14965, _u14967), _u14966), _u14968) = _u14969) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_map__zip__map ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_map__zip__map-1, axiom, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u14970, _u14971), _u14972), _u14973), hAPP(hAPP(c_List_Ozip(_u14970, _u14971), hAPP(hAPP(c_List_Omap(_u14974, _u14970), _u14975), _u14976)), _u14977)) = hAPP(hAPP(c_List_Omap(tc_prod(_u14974, _u14971), _u14972), hAPP(c_Product__Type_Oprod_Oprod__case(_u14974, _u14971, _u14972), hAPP(hAPP(c_COMBB(tc_fun(_u14971, tc_prod(_u14970, _u14971)), tc_fun(_u14971, _u14972), _u14974), hAPP(c_COMBB(tc_prod(_u14970, _u14971), _u14972, _u14971), _u14973)), hAPP(hAPP(c_COMBB(_u14970, tc_fun(_u14971, tc_prod(_u14970, _u14971)), _u14974), c_Product__Type_OPair(_u14970, _u14971)), _u14975)))), hAPP(hAPP(c_List_Ozip(_u14974, _u14971), _u14976), _u14977))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_map__zip__map2 ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_map__zip__map2-1, axiom, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u14978, _u14979), _u14980), _u14981), hAPP(hAPP(c_List_Ozip(_u14978, _u14979), _u14982), hAPP(hAPP(c_List_Omap(_u14983, _u14979), _u14984), _u14985))) = hAPP(hAPP(c_List_Omap(tc_prod(_u14978, _u14983), _u14980), hAPP(c_Product__Type_Oprod_Oprod__case(_u14978, _u14983, _u14980), hAPP(hAPP(c_COMBB(tc_fun(_u14983, tc_prod(_u14978, _u14979)), tc_fun(_u14983, _u14980), _u14978), hAPP(c_COMBB(tc_prod(_u14978, _u14979), _u14980, _u14983), _u14981)), hAPP(hAPP(c_COMBC(_u14978, tc_fun(_u14983, _u14979), tc_fun(_u14983, tc_prod(_u14978, _u14979))), hAPP(hAPP(c_COMBB(tc_fun(_u14979, tc_prod(_u14978, _u14979)), tc_fun(tc_fun(_u14983, _u14979), tc_fun(_u14983, tc_prod(_u14978, _u14979))), _u14978), c_COMBB(_u14979, tc_prod(_u14978, _u14979), _u14983)), c_Product__Type_OPair(_u14978, _u14979))), _u14984)))), hAPP(hAPP(c_List_Ozip(_u14978, _u14983), _u14982), _u14985))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_list__eq__iff__zip__eq ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_list__eq__iff__zip__eq-1, axiom, ( ( _u14991 != _u14993) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14995)), _u14991) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14995)), _u14993)) )).
% 39.89/40.09 cnf(fact_list__eq__iff__zip__eq-2, axiom, ( ( _u14991 != _u14993) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14995, _u14995)), _u14986), hAPP(c_List_Oset(tc_prod(_u14995, _u14995)), hAPP(hAPP(c_List_Ozip(_u14995, _u14995), _u14991), _u14993)))) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u14995, _u14995, tc_HOL_Obool), c_fequal), _u14986)) )).
% 39.89/40.09 cnf(fact_list__eq__iff__zip__eq-3, axiom, ( ( _u14992 = _u14994) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14996)), _u14992) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14996)), _u14994)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14996, _u14996)), skolem351(_u14996, _u14994, _u14992)), hAPP(c_List_Oset(tc_prod(_u14996, _u14996)), hAPP(hAPP(c_List_Ozip(_u14996, _u14996), _u14992), _u14994)))) )).
% 39.89/40.09 cnf(fact_list__eq__iff__zip__eq-4, axiom, ( ( _u14992 = _u14994) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14996)), _u14992) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14996)), _u14994)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u14996, _u14996, tc_HOL_Obool), c_fequal), skolem351(_u14996, _u14994, _u14992))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_in__set__zipE ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_in__set__zipE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14997, _u14998)), hAPP(hAPP(c_Product__Type_OPair(_u14997, _u14998), _u14999), _u15000)), hAPP(c_List_Oset(tc_prod(_u14997, _u14998)), hAPP(hAPP(c_List_Ozip(_u14997, _u14998), _u15001), _u15002)))) | hBOOL(hAPP(hAPP(c_member(_u14997), _u14999), hAPP(c_List_Oset(_u14997), _u15001))) )).
% 39.89/40.09 cnf(fact_in__set__zipE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14997, _u14998)), hAPP(hAPP(c_Product__Type_OPair(_u14997, _u14998), _u14999), _u15000)), hAPP(c_List_Oset(tc_prod(_u14997, _u14998)), hAPP(hAPP(c_List_Ozip(_u14997, _u14998), _u15001), _u15002)))) | hBOOL(hAPP(hAPP(c_member(_u14998), _u15000), hAPP(c_List_Oset(_u14998), _u15002))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_set__zip__rightD ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_set__zip__rightD-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u15004), _u15006), hAPP(c_List_Oset(_u15004), _u15008))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15003, _u15004)), hAPP(hAPP(c_Product__Type_OPair(_u15003, _u15004), _u15005), _u15006)), hAPP(c_List_Oset(tc_prod(_u15003, _u15004)), hAPP(hAPP(c_List_Ozip(_u15003, _u15004), _u15007), _u15008)))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_set__zip__leftD ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_set__zip__leftD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15009, _u15010)), hAPP(hAPP(c_Product__Type_OPair(_u15009, _u15010), _u15011), _u15012)), hAPP(c_List_Oset(tc_prod(_u15009, _u15010)), hAPP(hAPP(c_List_Ozip(_u15009, _u15010), _u15013), _u15014)))) | hBOOL(hAPP(hAPP(c_member(_u15009), _u15011), hAPP(c_List_Oset(_u15009), _u15013))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_zip__same ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_zip__same-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15019, _u15019)), hAPP(hAPP(c_Product__Type_OPair(_u15019, _u15019), _u15021), _u15023)), hAPP(c_List_Oset(tc_prod(_u15019, _u15019)), hAPP(hAPP(c_List_Ozip(_u15019, _u15019), _u15025), _u15025)))) | hBOOL(hAPP(hAPP(c_member(_u15019), _u15021), hAPP(c_List_Oset(_u15019), _u15025))) )).
% 39.89/40.09 cnf(fact_zip__same-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15019, _u15019)), hAPP(hAPP(c_Product__Type_OPair(_u15019, _u15019), _u15021), _u15023)), hAPP(c_List_Oset(tc_prod(_u15019, _u15019)), hAPP(hAPP(c_List_Ozip(_u15019, _u15019), _u15025), _u15025)))) | ( _u15021 = _u15023) )).
% 39.89/40.09 cnf(fact_zip__same-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15020), _u15022), hAPP(c_List_Oset(_u15020), _u15026))) | ( _u15022 != _u15024) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15020, _u15020)), hAPP(hAPP(c_Product__Type_OPair(_u15020, _u15020), _u15022), _u15024)), hAPP(c_List_Oset(tc_prod(_u15020, _u15020)), hAPP(hAPP(c_List_Ozip(_u15020, _u15020), _u15026), _u15026)))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_map__of__zip__is__None ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_map__of__zip__is__None-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15027)), _u15028) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15029)), _u15030)) | ( hAPP(hAPP(c_Map_Omap__of(_u15027, _u15029), hAPP(hAPP(c_List_Ozip(_u15027, _u15029), _u15028), _u15030)), _u15031) != c_Option_Ooption_ONone(_u15029)) | ~hBOOL(hAPP(hAPP(c_member(_u15027), _u15031), hAPP(c_List_Oset(_u15027), _u15028))) )).
% 39.89/40.09 cnf(fact_map__of__zip__is__None-2, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15027)), _u15028) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15029)), _u15030)) | hBOOL(hAPP(hAPP(c_member(_u15027), _u15031), hAPP(c_List_Oset(_u15027), _u15028))) | ( hAPP(hAPP(c_Map_Omap__of(_u15027, _u15029), hAPP(hAPP(c_List_Ozip(_u15027, _u15029), _u15028), _u15030)), _u15031) = c_Option_Ooption_ONone(_u15029)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_map__of__zip__is__Some ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_map__of__zip__is__Some-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15034)), _u15035) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15036)), _u15037)) | ~hBOOL(hAPP(hAPP(c_member(_u15034), _u15038), hAPP(c_List_Oset(_u15034), _u15035))) | ( hAPP(hAPP(c_Map_Omap__of(_u15034, _u15036), hAPP(hAPP(c_List_Ozip(_u15034, _u15036), _u15035), _u15037)), _u15038) = hAPP(c_Option_Ooption_OSome(_u15036), skolem352(_u15038, _u15037, _u15036, _u15035, _u15034))) )).
% 39.89/40.09 cnf(fact_map__of__zip__is__Some-2, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15034)), _u15035) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15036)), _u15037)) | ( hAPP(hAPP(c_Map_Omap__of(_u15034, _u15036), hAPP(hAPP(c_List_Ozip(_u15034, _u15036), _u15035), _u15037)), _u15038) != hAPP(c_Option_Ooption_OSome(_u15036), _u15033)) | hBOOL(hAPP(hAPP(c_member(_u15034), _u15038), hAPP(c_List_Oset(_u15034), _u15035))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_zip__map__map ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_zip__map__map-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u15039, _u15040), hAPP(hAPP(c_List_Omap(_u15041, _u15039), _u15042), _u15043)), hAPP(hAPP(c_List_Omap(_u15044, _u15040), _u15045), _u15046)) = hAPP(hAPP(c_List_Omap(tc_prod(_u15041, _u15044), tc_prod(_u15039, _u15040)), hAPP(c_Product__Type_Oprod_Oprod__case(_u15041, _u15044, tc_prod(_u15039, _u15040)), hAPP(hAPP(c_COMBC(_u15041, tc_fun(_u15044, _u15040), tc_fun(_u15044, tc_prod(_u15039, _u15040))), hAPP(hAPP(c_COMBB(tc_fun(_u15040, tc_prod(_u15039, _u15040)), tc_fun(tc_fun(_u15044, _u15040), tc_fun(_u15044, tc_prod(_u15039, _u15040))), _u15041), c_COMBB(_u15040, tc_prod(_u15039, _u15040), _u15044)), hAPP(hAPP(c_COMBB(_u15039, tc_fun(_u15040, tc_prod(_u15039, _u15040)), _u15041), c_Product__Type_OPair(_u15039, _u15040)), _u15042))), _u15045))), hAPP(hAPP(c_List_Ozip(_u15041, _u15044), _u15043), _u15046))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_zip__map1 ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_zip__map1-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u15047, _u15048), hAPP(hAPP(c_List_Omap(_u15049, _u15047), _u15050), _u15051)), _u15052) = hAPP(hAPP(c_List_Omap(tc_prod(_u15049, _u15048), tc_prod(_u15047, _u15048)), hAPP(c_Product__Type_Oprod_Oprod__case(_u15049, _u15048, tc_prod(_u15047, _u15048)), hAPP(hAPP(c_COMBB(_u15047, tc_fun(_u15048, tc_prod(_u15047, _u15048)), _u15049), c_Product__Type_OPair(_u15047, _u15048)), _u15050))), hAPP(hAPP(c_List_Ozip(_u15049, _u15048), _u15051), _u15052))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_zip__map2 ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_zip__map2-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u15053, _u15054), _u15055), hAPP(hAPP(c_List_Omap(_u15056, _u15054), _u15057), _u15058)) = hAPP(hAPP(c_List_Omap(tc_prod(_u15053, _u15056), tc_prod(_u15053, _u15054)), hAPP(c_Product__Type_Oprod_Oprod__case(_u15053, _u15056, tc_prod(_u15053, _u15054)), hAPP(hAPP(c_COMBC(_u15053, tc_fun(_u15056, _u15054), tc_fun(_u15056, tc_prod(_u15053, _u15054))), hAPP(hAPP(c_COMBB(tc_fun(_u15054, tc_prod(_u15053, _u15054)), tc_fun(tc_fun(_u15056, _u15054), tc_fun(_u15056, tc_prod(_u15053, _u15054))), _u15053), c_COMBB(_u15054, tc_prod(_u15053, _u15054), _u15056)), c_Product__Type_OPair(_u15053, _u15054))), _u15057))), hAPP(hAPP(c_List_Ozip(_u15053, _u15056), _u15055), _u15058))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_dom__map__of__zip ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_dom__map__of__zip-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15059)), _u15060) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15061)), _u15062)) | ~hBOOL(hAPP(c_List_Odistinct(_u15059), _u15060)) | ( c_Map_Odom(_u15059, _u15061, hAPP(c_Map_Omap__of(_u15059, _u15061), hAPP(hAPP(c_List_Ozip(_u15059, _u15061), _u15060), _u15062))) = hAPP(c_List_Oset(_u15059), _u15060)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_map__of__zip__upd ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_map__of__zip__upd-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15063)), _u15064) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15065)), _u15066)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15063)), _u15067) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15065)), _u15066)) | hBOOL(hAPP(hAPP(c_member(_u15065), _u15068), hAPP(c_List_Oset(_u15065), _u15066))) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u15065, tc_Option_Ooption(_u15063)), hAPP(c_Map_Omap__of(_u15065, _u15063), hAPP(hAPP(c_List_Ozip(_u15065, _u15063), _u15066), _u15064))), _u15068), hAPP(c_Option_Ooption_OSome(_u15063), _u15069)) != hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u15065, tc_Option_Ooption(_u15063)), hAPP(c_Map_Omap__of(_u15065, _u15063), hAPP(hAPP(c_List_Ozip(_u15065, _u15063), _u15066), _u15067))), _u15068), hAPP(c_Option_Ooption_OSome(_u15063), _u15070))) | ( hAPP(c_Map_Omap__of(_u15065, _u15063), hAPP(hAPP(c_List_Ozip(_u15065, _u15063), _u15066), _u15064)) = hAPP(c_Map_Omap__of(_u15065, _u15063), hAPP(hAPP(c_List_Ozip(_u15065, _u15063), _u15066), _u15067))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_map__of__zip__map ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_map__of__zip__map-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15076), _u15078), hAPP(c_List_Oset(_u15076), _u15080))) | ( hAPP(hAPP(c_Map_Omap__of(_u15076, _u15082), hAPP(hAPP(c_List_Ozip(_u15076, _u15082), _u15080), hAPP(hAPP(c_List_Omap(_u15076, _u15082), _u15084), _u15080))), _u15078) = hAPP(c_Option_Ooption_OSome(_u15082), hAPP(_u15084, _u15078))) )).
% 39.89/40.09 cnf(fact_map__of__zip__map-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u15077), _u15079), hAPP(c_List_Oset(_u15077), _u15081))) | ( hAPP(hAPP(c_Map_Omap__of(_u15077, _u15083), hAPP(hAPP(c_List_Ozip(_u15077, _u15083), _u15081), hAPP(hAPP(c_List_Omap(_u15077, _u15083), _u15085), _u15081))), _u15079) = c_Option_Ooption_ONone(_u15083)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_listrel__Cons1 ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_listrel__Cons1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15088), tc_List_Olist(_u15088))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15088), tc_List_Olist(_u15088)), hAPP(hAPP(c_List_Olist_OCons(_u15088), _u15089), _u15090)), _u15091)), c_List_Olistrel(_u15088, _u15092))) | ( _u15091 = hAPP(hAPP(c_List_Olist_OCons(_u15088), skolem353(_u15092, _u15091, _u15090, _u15089, _u15088)), skolem354(_u15092, _u15091, _u15090, _u15089, _u15088))) )).
% 39.89/40.09 cnf(fact_listrel__Cons1-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15088), tc_List_Olist(_u15088))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15088), tc_List_Olist(_u15088)), hAPP(hAPP(c_List_Olist_OCons(_u15088), _u15089), _u15090)), _u15091)), c_List_Olistrel(_u15088, _u15092))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15088, _u15088)), hAPP(hAPP(c_Product__Type_OPair(_u15088, _u15088), _u15089), skolem353(_u15092, _u15091, _u15090, _u15089, _u15088))), _u15092)) )).
% 39.89/40.09 cnf(fact_listrel__Cons1-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15088), tc_List_Olist(_u15088))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15088), tc_List_Olist(_u15088)), hAPP(hAPP(c_List_Olist_OCons(_u15088), _u15089), _u15090)), _u15091)), c_List_Olistrel(_u15088, _u15092))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15088), tc_List_Olist(_u15088))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15088), tc_List_Olist(_u15088)), _u15090), skolem354(_u15092, _u15091, _u15090, _u15089, _u15088))), c_List_Olistrel(_u15088, _u15092))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_map__of__zip__enum__inject ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_map__of__zip__enum__inject-1, axiom, ( ~class_Enum_Oenum(_u15093) | ~class_Enum_Oenum(_u15094) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15094)), _u15095) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15093)), c_Enum_Oenum__class_Oenum(_u15093))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15094)), _u15096) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15093)), c_Enum_Oenum__class_Oenum(_u15093))) | ( hAPP(c_Fun_Ocomp(tc_Option_Ooption(_u15094), _u15094, _u15093, c_Option_Othe(_u15094)), hAPP(c_Map_Omap__of(_u15093, _u15094), hAPP(hAPP(c_List_Ozip(_u15093, _u15094), c_Enum_Oenum__class_Oenum(_u15093)), _u15095))) != hAPP(c_Fun_Ocomp(tc_Option_Ooption(_u15094), _u15094, _u15093, c_Option_Othe(_u15094)), hAPP(c_Map_Omap__of(_u15093, _u15094), hAPP(hAPP(c_List_Ozip(_u15093, _u15094), c_Enum_Oenum__class_Oenum(_u15093)), _u15096)))) | ( _u15095 = _u15096) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_enum__prod__def ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_enum__prod__def-1, axiom, ( ~class_Enum_Oenum(_u15097) | ~class_Enum_Oenum(_u15098) | ( c_Enum_Oenum__class_Oenum(tc_prod(_u15097, _u15098)) = c_Enum_Oproduct(_u15097, _u15098, c_Enum_Oenum__class_Oenum(_u15097), c_Enum_Oenum__class_Oenum(_u15098))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_enum__option__def ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_enum__option__def-1, axiom, ( ~class_Enum_Oenum(_u15099) | ( c_Enum_Oenum__class_Oenum(tc_Option_Ooption(_u15099)) = hAPP(hAPP(c_List_Olist_OCons(tc_Option_Ooption(_u15099)), c_Option_Ooption_ONone(_u15099)), hAPP(hAPP(c_List_Omap(_u15099, tc_Option_Ooption(_u15099)), c_Option_Ooption_OSome(_u15099)), c_Enum_Oenum__class_Oenum(_u15099)))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_enum__distinct ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_enum__distinct-1, axiom, ( ~class_Enum_Oenum(_u15100) | hBOOL(hAPP(c_List_Odistinct(_u15100), c_Enum_Oenum__class_Oenum(_u15100))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_in__enum ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_in__enum-1, axiom, ( ~class_Enum_Oenum(_u15101) | hBOOL(hAPP(hAPP(c_member(_u15101), _u15102), hAPP(c_List_Oset(_u15101), c_Enum_Oenum__class_Oenum(_u15101)))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_UNIV__enum ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_UNIV__enum-1, axiom, ( ~class_Enum_Oenum(_u15103) | ( c_Orderings_Otop__class_Otop(tc_fun(_u15103, tc_HOL_Obool)) = hAPP(c_List_Oset(_u15103), c_Enum_Oenum__class_Oenum(_u15103))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_enum__UNIV ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_enum__UNIV-1, axiom, ( ~class_Enum_Oenum(_u15104) | ( hAPP(c_List_Oset(_u15104), c_Enum_Oenum__class_Oenum(_u15104)) = c_Orderings_Otop__class_Otop(tc_fun(_u15104, tc_HOL_Obool))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_enum__fun__code ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_enum__fun__code-1, axiom, ( ~class_Enum_Oenum(_u15105) | ~class_HOL_Oequal(_u15105) | ~class_Enum_Oenum(_u15106) | ( c_Enum_Oenum__class_Oenum(tc_fun(_u15105, _u15106)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u15106), tc_fun(_u15105, _u15106)), hAPP(hAPP(c_COMBB(tc_fun(_u15105, tc_Option_Ooption(_u15106)), tc_fun(_u15105, _u15106), tc_List_Olist(_u15106)), c_Fun_Ocomp(tc_Option_Ooption(_u15106), _u15106, _u15105, c_Option_Othe(_u15106))), hAPP(hAPP(c_COMBB(tc_List_Olist(tc_prod(_u15105, _u15106)), tc_fun(_u15105, tc_Option_Ooption(_u15106)), tc_List_Olist(_u15106)), c_Map_Omap__of(_u15105, _u15106)), hAPP(c_List_Ozip(_u15105, _u15106), c_Enum_Oenum__class_Oenum(_u15105))))), c_Enum_On__lists(_u15106, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15105)), c_Enum_Oenum__class_Oenum(_u15105)), c_Enum_Oenum__class_Oenum(_u15106)))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_enum__fun__def ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_enum__fun__def-1, axiom, ( ~class_Enum_Oenum(_u15107) | ~class_Enum_Oenum(_u15108) | ( c_Enum_Oenum__class_Oenum(tc_fun(_u15107, _u15108)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u15108), tc_fun(_u15107, _u15108)), hAPP(hAPP(c_COMBB(tc_fun(_u15107, tc_Option_Ooption(_u15108)), tc_fun(_u15107, _u15108), tc_List_Olist(_u15108)), c_Fun_Ocomp(tc_Option_Ooption(_u15108), _u15108, _u15107, c_Option_Othe(_u15108))), hAPP(hAPP(c_COMBB(tc_List_Olist(tc_prod(_u15107, _u15108)), tc_fun(_u15107, tc_Option_Ooption(_u15108)), tc_List_Olist(_u15108)), c_Map_Omap__of(_u15107, _u15108)), hAPP(c_List_Ozip(_u15107, _u15108), c_Enum_Oenum__class_Oenum(_u15107))))), c_Enum_On__lists(_u15108, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15107)), c_Enum_Oenum__class_Oenum(_u15107)), c_Enum_Oenum__class_Oenum(_u15108)))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_enum__all__fun__code ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_enum__all__fun__code-1, axiom, ( ~class_Enum_Oenum(_u15109) | ~class_Enum_Oenum(_u15110) | ~class_HOL_Oequal(_u15110) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_fun(_u15110, _u15109)), _u15111)) | c_Enum_Oall__n__lists(_u15109, hAPP(hAPP(c_COMBB(tc_fun(_u15110, _u15109), tc_HOL_Obool, tc_List_Olist(_u15109)), _u15111), hAPP(hAPP(c_COMBB(tc_fun(_u15110, tc_Option_Ooption(_u15109)), tc_fun(_u15110, _u15109), tc_List_Olist(_u15109)), c_Fun_Ocomp(tc_Option_Ooption(_u15109), _u15109, _u15110, c_Option_Othe(_u15109))), hAPP(hAPP(c_COMBB(tc_List_Olist(tc_prod(_u15110, _u15109)), tc_fun(_u15110, tc_Option_Ooption(_u15109)), tc_List_Olist(_u15109)), c_Map_Omap__of(_u15110, _u15109)), hAPP(c_List_Ozip(_u15110, _u15109), c_Enum_Oenum__class_Oenum(_u15110))))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15110)), c_Enum_Oenum__class_Oenum(_u15110))) )).
% 39.89/40.09 cnf(fact_enum__all__fun__code-2, axiom, ( ~class_Enum_Oenum(_u15109) | ~class_Enum_Oenum(_u15110) | ~class_HOL_Oequal(_u15110) | ~c_Enum_Oall__n__lists(_u15109, hAPP(hAPP(c_COMBB(tc_fun(_u15110, _u15109), tc_HOL_Obool, tc_List_Olist(_u15109)), _u15111), hAPP(hAPP(c_COMBB(tc_fun(_u15110, tc_Option_Ooption(_u15109)), tc_fun(_u15110, _u15109), tc_List_Olist(_u15109)), c_Fun_Ocomp(tc_Option_Ooption(_u15109), _u15109, _u15110, c_Option_Othe(_u15109))), hAPP(hAPP(c_COMBB(tc_List_Olist(tc_prod(_u15110, _u15109)), tc_fun(_u15110, tc_Option_Ooption(_u15109)), tc_List_Olist(_u15109)), c_Map_Omap__of(_u15110, _u15109)), hAPP(c_List_Ozip(_u15110, _u15109), c_Enum_Oenum__class_Oenum(_u15110))))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15110)), c_Enum_Oenum__class_Oenum(_u15110))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_fun(_u15110, _u15109)), _u15111)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_enum__all__fun__def ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_enum__all__fun__def-1, axiom, ( ~class_Enum_Oenum(_u15112) | ~class_Enum_Oenum(_u15113) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_fun(_u15113, _u15112)), _u15114)) | c_Enum_Oall__n__lists(_u15112, hAPP(hAPP(c_COMBB(tc_fun(_u15113, _u15112), tc_HOL_Obool, tc_List_Olist(_u15112)), _u15114), hAPP(hAPP(c_COMBB(tc_fun(_u15113, tc_Option_Ooption(_u15112)), tc_fun(_u15113, _u15112), tc_List_Olist(_u15112)), c_Fun_Ocomp(tc_Option_Ooption(_u15112), _u15112, _u15113, c_Option_Othe(_u15112))), hAPP(hAPP(c_COMBB(tc_List_Olist(tc_prod(_u15113, _u15112)), tc_fun(_u15113, tc_Option_Ooption(_u15112)), tc_List_Olist(_u15112)), c_Map_Omap__of(_u15113, _u15112)), hAPP(c_List_Ozip(_u15113, _u15112), c_Enum_Oenum__class_Oenum(_u15113))))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15113)), c_Enum_Oenum__class_Oenum(_u15113))) )).
% 39.89/40.09 cnf(fact_enum__all__fun__def-2, axiom, ( ~class_Enum_Oenum(_u15112) | ~class_Enum_Oenum(_u15113) | ~c_Enum_Oall__n__lists(_u15112, hAPP(hAPP(c_COMBB(tc_fun(_u15113, _u15112), tc_HOL_Obool, tc_List_Olist(_u15112)), _u15114), hAPP(hAPP(c_COMBB(tc_fun(_u15113, tc_Option_Ooption(_u15112)), tc_fun(_u15113, _u15112), tc_List_Olist(_u15112)), c_Fun_Ocomp(tc_Option_Ooption(_u15112), _u15112, _u15113, c_Option_Othe(_u15112))), hAPP(hAPP(c_COMBB(tc_List_Olist(tc_prod(_u15113, _u15112)), tc_fun(_u15113, tc_Option_Ooption(_u15112)), tc_List_Olist(_u15112)), c_Map_Omap__of(_u15113, _u15112)), hAPP(c_List_Ozip(_u15113, _u15112), c_Enum_Oenum__class_Oenum(_u15113))))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15113)), c_Enum_Oenum__class_Oenum(_u15113))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_fun(_u15113, _u15112)), _u15114)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_all__n__lists__def ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_all__n__lists__def-1, axiom, ( ~class_Enum_Oenum(_u15117) | ~c_Enum_Oall__n__lists(_u15117, _u15118, _u15119) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15117)), _u15115), hAPP(c_List_Oset(tc_List_Olist(_u15117)), c_Enum_On__lists(_u15117, _u15119, c_Enum_Oenum__class_Oenum(_u15117))))) | hBOOL(hAPP(_u15118, _u15115)) )).
% 39.89/40.09 cnf(fact_all__n__lists__def-2, axiom, ( ~class_Enum_Oenum(_u15117) | c_Enum_Oall__n__lists(_u15117, _u15118, _u15119) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15117)), skolem355(_u15119, _u15118, _u15117)), hAPP(c_List_Oset(tc_List_Olist(_u15117)), c_Enum_On__lists(_u15117, _u15119, c_Enum_Oenum__class_Oenum(_u15117))))) )).
% 39.89/40.09 cnf(fact_all__n__lists__def-3, axiom, ( ~class_Enum_Oenum(_u15117) | c_Enum_Oall__n__lists(_u15117, _u15118, _u15119) | ~hBOOL(hAPP(_u15118, skolem355(_u15119, _u15118, _u15117))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_enum__ex__fun__code ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_enum__ex__fun__code-1, axiom, ( ~class_Enum_Oenum(_u15120) | ~class_Enum_Oenum(_u15121) | ~class_HOL_Oequal(_u15121) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_fun(_u15121, _u15120)), _u15122)) | c_Enum_Oex__n__lists(_u15120, hAPP(hAPP(c_COMBB(tc_fun(_u15121, _u15120), tc_HOL_Obool, tc_List_Olist(_u15120)), _u15122), hAPP(hAPP(c_COMBB(tc_fun(_u15121, tc_Option_Ooption(_u15120)), tc_fun(_u15121, _u15120), tc_List_Olist(_u15120)), c_Fun_Ocomp(tc_Option_Ooption(_u15120), _u15120, _u15121, c_Option_Othe(_u15120))), hAPP(hAPP(c_COMBB(tc_List_Olist(tc_prod(_u15121, _u15120)), tc_fun(_u15121, tc_Option_Ooption(_u15120)), tc_List_Olist(_u15120)), c_Map_Omap__of(_u15121, _u15120)), hAPP(c_List_Ozip(_u15121, _u15120), c_Enum_Oenum__class_Oenum(_u15121))))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15121)), c_Enum_Oenum__class_Oenum(_u15121))) )).
% 39.89/40.09 cnf(fact_enum__ex__fun__code-2, axiom, ( ~class_Enum_Oenum(_u15120) | ~class_Enum_Oenum(_u15121) | ~class_HOL_Oequal(_u15121) | ~c_Enum_Oex__n__lists(_u15120, hAPP(hAPP(c_COMBB(tc_fun(_u15121, _u15120), tc_HOL_Obool, tc_List_Olist(_u15120)), _u15122), hAPP(hAPP(c_COMBB(tc_fun(_u15121, tc_Option_Ooption(_u15120)), tc_fun(_u15121, _u15120), tc_List_Olist(_u15120)), c_Fun_Ocomp(tc_Option_Ooption(_u15120), _u15120, _u15121, c_Option_Othe(_u15120))), hAPP(hAPP(c_COMBB(tc_List_Olist(tc_prod(_u15121, _u15120)), tc_fun(_u15121, tc_Option_Ooption(_u15120)), tc_List_Olist(_u15120)), c_Map_Omap__of(_u15121, _u15120)), hAPP(c_List_Ozip(_u15121, _u15120), c_Enum_Oenum__class_Oenum(_u15121))))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15121)), c_Enum_Oenum__class_Oenum(_u15121))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_fun(_u15121, _u15120)), _u15122)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_enum__ex__fun__def ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_enum__ex__fun__def-1, axiom, ( ~class_Enum_Oenum(_u15123) | ~class_Enum_Oenum(_u15124) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_fun(_u15124, _u15123)), _u15125)) | c_Enum_Oex__n__lists(_u15123, hAPP(hAPP(c_COMBB(tc_fun(_u15124, _u15123), tc_HOL_Obool, tc_List_Olist(_u15123)), _u15125), hAPP(hAPP(c_COMBB(tc_fun(_u15124, tc_Option_Ooption(_u15123)), tc_fun(_u15124, _u15123), tc_List_Olist(_u15123)), c_Fun_Ocomp(tc_Option_Ooption(_u15123), _u15123, _u15124, c_Option_Othe(_u15123))), hAPP(hAPP(c_COMBB(tc_List_Olist(tc_prod(_u15124, _u15123)), tc_fun(_u15124, tc_Option_Ooption(_u15123)), tc_List_Olist(_u15123)), c_Map_Omap__of(_u15124, _u15123)), hAPP(c_List_Ozip(_u15124, _u15123), c_Enum_Oenum__class_Oenum(_u15124))))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15124)), c_Enum_Oenum__class_Oenum(_u15124))) )).
% 39.89/40.09 cnf(fact_enum__ex__fun__def-2, axiom, ( ~class_Enum_Oenum(_u15123) | ~class_Enum_Oenum(_u15124) | ~c_Enum_Oex__n__lists(_u15123, hAPP(hAPP(c_COMBB(tc_fun(_u15124, _u15123), tc_HOL_Obool, tc_List_Olist(_u15123)), _u15125), hAPP(hAPP(c_COMBB(tc_fun(_u15124, tc_Option_Ooption(_u15123)), tc_fun(_u15124, _u15123), tc_List_Olist(_u15123)), c_Fun_Ocomp(tc_Option_Ooption(_u15123), _u15123, _u15124, c_Option_Othe(_u15123))), hAPP(hAPP(c_COMBB(tc_List_Olist(tc_prod(_u15124, _u15123)), tc_fun(_u15124, tc_Option_Ooption(_u15123)), tc_List_Olist(_u15123)), c_Map_Omap__of(_u15124, _u15123)), hAPP(c_List_Ozip(_u15124, _u15123), c_Enum_Oenum__class_Oenum(_u15124))))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15124)), c_Enum_Oenum__class_Oenum(_u15124))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_fun(_u15124, _u15123)), _u15125)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_ex__n__lists__def ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_ex__n__lists__def-1, axiom, ( ~class_Enum_Oenum(_u15128) | ~c_Enum_Oex__n__lists(_u15128, _u15129, _u15130) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15128)), skolem356(_u15130, _u15129, _u15128)), hAPP(c_List_Oset(tc_List_Olist(_u15128)), c_Enum_On__lists(_u15128, _u15130, c_Enum_Oenum__class_Oenum(_u15128))))) )).
% 39.89/40.09 cnf(fact_ex__n__lists__def-2, axiom, ( ~class_Enum_Oenum(_u15128) | ~c_Enum_Oex__n__lists(_u15128, _u15129, _u15130) | hBOOL(hAPP(_u15129, skolem356(_u15130, _u15129, _u15128))) )).
% 39.89/40.09 cnf(fact_ex__n__lists__def-3, axiom, ( ~class_Enum_Oenum(_u15128) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15128)), _u15127), hAPP(c_List_Oset(tc_List_Olist(_u15128)), c_Enum_On__lists(_u15128, _u15130, c_Enum_Oenum__class_Oenum(_u15128))))) | ~hBOOL(hAPP(_u15129, _u15127)) | c_Enum_Oex__n__lists(_u15128, _u15129, _u15130) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_set__zip ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_set__zip-1, axiom, ( ( hAPP(c_List_Oset(tc_prod(_u15131, _u15132)), hAPP(hAPP(c_List_Ozip(_u15131, _u15132), _u15133), _u15134)) = hAPP(c_Set_OCollect(tc_prod(_u15131, _u15132)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool, tc_prod(_u15131, _u15132)), c_HOL_OEx(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(tc_prod(_u15131, _u15132), 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(_u15131, _u15132)), 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(_u15131, _u15132)), 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(_u15131, _u15132), tc_fun(tc_Nat_Onat, tc_prod(_u15131, _u15132)), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u15131, _u15132), tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, tc_prod(_u15131, _u15132)), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_prod(_u15131, _u15132)), c_COMBB(tc_prod(_u15131, _u15132), tc_HOL_Obool, tc_Nat_Onat)), c_fequal)), hAPP(hAPP(c_COMBS(tc_Nat_Onat, _u15132, tc_prod(_u15131, _u15132)), hAPP(hAPP(c_COMBB(_u15131, tc_fun(_u15132, tc_prod(_u15131, _u15132)), tc_Nat_Onat), c_Product__Type_OPair(_u15131, _u15132)), hAPP(c_List_Onth(_u15131), _u15133))), hAPP(c_List_Onth(_u15132), _u15134)))))), 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(_u15131)), _u15133)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15132)), _u15134))))))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_listrel__subset ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_listrel__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15135, _u15135), tc_HOL_Obool)), _u15136), hAPP(hAPP(c_Product__Type_OSigma(_u15135, _u15135), _u15137), hAPP(c_COMBK(tc_fun(_u15135, tc_HOL_Obool), _u15135), _u15137)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u15135), tc_List_Olist(_u15135)), tc_HOL_Obool)), c_List_Olistrel(_u15135, _u15136)), hAPP(hAPP(c_Product__Type_OSigma(tc_List_Olist(_u15135), tc_List_Olist(_u15135)), c_List_Olists(_u15135, _u15137)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u15135), tc_HOL_Obool), tc_List_Olist(_u15135)), c_List_Olists(_u15135, _u15137))))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_nth__zip ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_nth__zip-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15138), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15139)), _u15140))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15138), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15141)), _u15142))) | ( hAPP(hAPP(c_List_Onth(tc_prod(_u15139, _u15141)), hAPP(hAPP(c_List_Ozip(_u15139, _u15141), _u15140), _u15142)), _u15138) = hAPP(hAPP(c_Product__Type_OPair(_u15139, _u15141), hAPP(hAPP(c_List_Onth(_u15139), _u15140), _u15138)), hAPP(hAPP(c_List_Onth(_u15141), _u15142), _u15138))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_list__eq__iff__nth__eq ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_list__eq__iff__nth__eq-1, axiom, ( ( _u15148 != _u15150) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15152)), _u15148) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15152)), _u15150)) )).
% 39.89/40.09 cnf(fact_list__eq__iff__nth__eq-2, axiom, ( ( _u15148 != _u15150) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15143), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15152)), _u15148))) | ( hAPP(hAPP(c_List_Onth(_u15152), _u15148), _u15143) = hAPP(hAPP(c_List_Onth(_u15152), _u15150), _u15143)) )).
% 39.89/40.09 cnf(fact_list__eq__iff__nth__eq-3, axiom, ( ( _u15149 = _u15151) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15153)), _u15149) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15153)), _u15151)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem357(_u15153, _u15151, _u15149)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15153)), _u15149))) )).
% 39.89/40.09 cnf(fact_list__eq__iff__nth__eq-4, axiom, ( ( _u15149 = _u15151) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15153)), _u15149) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15153)), _u15151)) | ( hAPP(hAPP(c_List_Onth(_u15153), _u15149), skolem357(_u15153, _u15151, _u15149)) != hAPP(hAPP(c_List_Onth(_u15153), _u15151), skolem357(_u15153, _u15151, _u15149))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_lists__mono ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_lists__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15154, tc_HOL_Obool)), _u15155), _u15156)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(_u15154), tc_HOL_Obool)), c_List_Olists(_u15154, _u15155)), c_List_Olists(_u15154, _u15156))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_nth__Cons__0 ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_nth__Cons__0-1, axiom, ( ( hAPP(hAPP(c_List_Onth(_u15157), hAPP(hAPP(c_List_Olist_OCons(_u15157), _u15158), _u15159)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u15158) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_nth__Cons__Suc ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_nth__Cons__Suc-1, axiom, ( ( hAPP(hAPP(c_List_Onth(_u15160), hAPP(hAPP(c_List_Olist_OCons(_u15160), _u15161), _u15162)), hAPP(c_Nat_OSuc, _u15163)) = hAPP(hAPP(c_List_Onth(_u15160), _u15162), _u15163)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_nth_Osimps ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_nth_Osimps-1, axiom, ( ( hAPP(hAPP(c_List_Onth(_u15164), hAPP(hAPP(c_List_Olist_OCons(_u15164), _u15165), _u15166)), _u15167) = c_Nat_Onat_Onat__case(_u15164, _u15165, hAPP(c_List_Onth(_u15164), _u15166), _u15167)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_all__set__conv__all__nth ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_all__set__conv__all__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15169), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15175)), _u15177))) | hBOOL(hAPP(_u15179, hAPP(hAPP(c_List_Onth(_u15175), _u15177), _u15169))) | hBOOL(hAPP(hAPP(c_member(_u15175), skolem358(_u15179, _u15177, _u15175)), hAPP(c_List_Oset(_u15175), _u15177))) )).
% 39.89/40.09 cnf(fact_all__set__conv__all__nth-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15169), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15175)), _u15177))) | hBOOL(hAPP(_u15179, hAPP(hAPP(c_List_Onth(_u15175), _u15177), _u15169))) | ~hBOOL(hAPP(_u15179, skolem358(_u15179, _u15177, _u15175))) )).
% 39.89/40.09 cnf(fact_all__set__conv__all__nth-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15176), _u15171), hAPP(c_List_Oset(_u15176), _u15178))) | hBOOL(hAPP(_u15180, _u15171)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem359(_u15180, _u15178, _u15176)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15176)), _u15178))) )).
% 39.89/40.09 cnf(fact_all__set__conv__all__nth-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15176), _u15171), hAPP(c_List_Oset(_u15176), _u15178))) | hBOOL(hAPP(_u15180, _u15171)) | ~hBOOL(hAPP(_u15180, hAPP(hAPP(c_List_Onth(_u15176), _u15178), skolem359(_u15180, _u15178, _u15176)))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_nth__map ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_nth__map-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15181), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15182)), _u15183))) | ( hAPP(hAPP(c_List_Onth(_u15184), hAPP(hAPP(c_List_Omap(_u15182, _u15184), _u15185), _u15183)), _u15181) = hAPP(_u15185, hAPP(hAPP(c_List_Onth(_u15182), _u15183), _u15181))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_nth__eq__iff__index__eq ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_nth__eq__iff__index__eq-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u15186), _u15187)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15188), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15186)), _u15187))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15189), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15186)), _u15187))) | ( hAPP(hAPP(c_List_Onth(_u15186), _u15187), _u15188) != hAPP(hAPP(c_List_Onth(_u15186), _u15187), _u15189)) | ( _u15188 = _u15189) )).
% 39.89/40.09 cnf(fact_nth__eq__iff__index__eq-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u15186), _u15187)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15188), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15186)), _u15187))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15189), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15186)), _u15187))) | ( _u15188 != _u15189) | ( hAPP(hAPP(c_List_Onth(_u15186), _u15187), _u15188) = hAPP(hAPP(c_List_Onth(_u15186), _u15187), _u15189)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_distinct__conv__nth ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_distinct__conv__nth-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u15196), _u15198)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15191), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15196)), _u15198))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15190), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15196)), _u15198))) | ( _u15191 = _u15190) | ( hAPP(hAPP(c_List_Onth(_u15196), _u15198), _u15191) != hAPP(hAPP(c_List_Onth(_u15196), _u15198), _u15190)) )).
% 39.89/40.09 cnf(fact_distinct__conv__nth-2, axiom, ( hBOOL(hAPP(c_List_Odistinct(_u15197), _u15199)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem360(_u15199, _u15197)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15197)), _u15199))) )).
% 39.89/40.09 cnf(fact_distinct__conv__nth-3, axiom, ( hBOOL(hAPP(c_List_Odistinct(_u15197), _u15199)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem361(_u15199, _u15197)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15197)), _u15199))) )).
% 39.89/40.09 cnf(fact_distinct__conv__nth-4, axiom, ( hBOOL(hAPP(c_List_Odistinct(_u15197), _u15199)) | ( skolem360(_u15199, _u15197) != skolem361(_u15199, _u15197)) )).
% 39.89/40.09 cnf(fact_distinct__conv__nth-5, axiom, ( hBOOL(hAPP(c_List_Odistinct(_u15197), _u15199)) | ( hAPP(hAPP(c_List_Onth(_u15197), _u15199), skolem360(_u15199, _u15197)) = hAPP(hAPP(c_List_Onth(_u15197), _u15199), skolem361(_u15199, _u15197))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_lists__UNIV ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_lists__UNIV-1, axiom, ( ( c_List_Olists(_u15200, c_Orderings_Otop__class_Otop(tc_fun(_u15200, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u15200), tc_HOL_Obool))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_equiv__listrel ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_equiv__listrel-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u15201, _u15202, _u15203) | c_Equiv__Relations_Oequiv(tc_List_Olist(_u15201), c_List_Olists(_u15201, _u15202), c_List_Olistrel(_u15201, _u15203)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_listrel__refl__on ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_listrel__refl__on-1, axiom, ( ~c_Relation_Orefl__on(_u15204, _u15205, _u15206) | c_Relation_Orefl__on(tc_List_Olist(_u15204), c_List_Olists(_u15204, _u15205), c_List_Olistrel(_u15204, _u15206)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_in__set__conv__nth ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_in__set__conv__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15212), _u15214), hAPP(c_List_Oset(_u15212), _u15216))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem362(_u15216, _u15214, _u15212)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15212)), _u15216))) )).
% 39.89/40.09 cnf(fact_in__set__conv__nth-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15212), _u15214), hAPP(c_List_Oset(_u15212), _u15216))) | ( hAPP(hAPP(c_List_Onth(_u15212), _u15216), skolem362(_u15216, _u15214, _u15212)) = _u15214) )).
% 39.89/40.09 cnf(fact_in__set__conv__nth-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15208), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15213)), _u15217))) | ( hAPP(hAPP(c_List_Onth(_u15213), _u15217), _u15208) != _u15215) | hBOOL(hAPP(hAPP(c_member(_u15213), _u15215), hAPP(c_List_Oset(_u15213), _u15217))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_nth__mem ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_nth__mem-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15218), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15219)), _u15220))) | hBOOL(hAPP(hAPP(c_member(_u15219), hAPP(hAPP(c_List_Onth(_u15219), _u15220), _u15218)), hAPP(c_List_Oset(_u15219), _u15220))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_nth__Cons_H ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_nth__Cons_H-1, axiom, ( ( _u15225 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u15227), hAPP(hAPP(c_List_Olist_OCons(_u15227), _u15229), _u15231)), _u15225) = _u15229) )).
% 39.89/40.09 cnf(fact_nth__Cons_H-2, axiom, ( ( _u15226 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u15228), hAPP(hAPP(c_List_Olist_OCons(_u15228), _u15230), _u15232)), _u15226) = hAPP(hAPP(c_List_Onth(_u15228), _u15232), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u15226), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_set__conv__nth ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_set__conv__nth-1, axiom, ( ( hAPP(c_List_Oset(_u15233), _u15234) = hAPP(c_Set_OCollect(_u15233), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool, _u15233), c_HOL_OEx(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(_u15233, 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)), _u15233), 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)), _u15233), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), hAPP(hAPP(c_COMBC(_u15233, tc_fun(tc_Nat_Onat, _u15233), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15233, tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, _u15233), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u15233), c_COMBB(_u15233, tc_HOL_Obool, tc_Nat_Onat)), c_fequal)), hAPP(c_List_Onth(_u15233), _u15234))))), 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(_u15233)), _u15234)))))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_Cons__in__lists__iff ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_Cons__in__lists__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15239)), hAPP(hAPP(c_List_Olist_OCons(_u15239), _u15241), _u15243)), c_List_Olists(_u15239, _u15245))) | hBOOL(hAPP(hAPP(c_member(_u15239), _u15241), _u15245)) )).
% 39.89/40.09 cnf(fact_Cons__in__lists__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15239)), hAPP(hAPP(c_List_Olist_OCons(_u15239), _u15241), _u15243)), c_List_Olists(_u15239, _u15245))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15239)), _u15243), c_List_Olists(_u15239, _u15245))) )).
% 39.89/40.09 cnf(fact_Cons__in__lists__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15240), _u15242), _u15246)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15240)), _u15244), c_List_Olists(_u15240, _u15246))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15240)), hAPP(hAPP(c_List_Olist_OCons(_u15240), _u15242), _u15244)), c_List_Olists(_u15240, _u15246))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_in__lists__conv__set ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_in__lists__conv__set-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15252)), _u15254), c_List_Olists(_u15252, _u15256))) | ~hBOOL(hAPP(hAPP(c_member(_u15252), _u15247), hAPP(c_List_Oset(_u15252), _u15254))) | hBOOL(hAPP(hAPP(c_member(_u15252), _u15247), _u15256)) )).
% 39.89/40.09 cnf(fact_in__lists__conv__set-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15253)), _u15255), c_List_Olists(_u15253, _u15257))) | hBOOL(hAPP(hAPP(c_member(_u15253), skolem363(_u15257, _u15255, _u15253)), hAPP(c_List_Oset(_u15253), _u15255))) )).
% 39.89/40.09 cnf(fact_in__lists__conv__set-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15253)), _u15255), c_List_Olists(_u15253, _u15257))) | ~hBOOL(hAPP(hAPP(c_member(_u15253), skolem363(_u15257, _u15255, _u15253)), _u15257)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_nth__Cons__number__of ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_nth__Cons__number__of-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15262) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u15264), hAPP(hAPP(c_List_Olist_OCons(_u15264), _u15266), _u15268)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15262)) = _u15266) )).
% 39.89/40.09 cnf(fact_nth__Cons__number__of-2, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15263) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u15265), hAPP(hAPP(c_List_Olist_OCons(_u15265), _u15267), _u15269)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15263)) = hAPP(hAPP(c_List_Onth(_u15265), _u15269), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15263)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_lists__eq__set ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_lists__eq__set-1, axiom, ( ( c_List_Olists(_u15270, _u15271) = hAPP(c_Set_OCollect(tc_List_Olist(_u15270)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15270), tc_fun(_u15270, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u15270, tc_HOL_Obool), tc_fun(tc_fun(_u15270, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u15270)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u15270, tc_HOL_Obool))), c_List_Oset(_u15270))), _u15271))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_set__sublist ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_set__sublist-1, axiom, ( ( hAPP(c_List_Oset(_u15272), c_List_Osublist(_u15272, _u15273, _u15274)) = hAPP(c_Set_OCollect(_u15272), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool, _u15272), c_HOL_OEx(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(_u15272, 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)), _u15272), 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)), _u15272), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), hAPP(hAPP(c_COMBC(_u15272, tc_fun(tc_Nat_Onat, _u15272), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15272, tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, _u15272), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u15272), c_COMBB(_u15272, tc_HOL_Obool, tc_Nat_Onat)), c_fequal)), hAPP(c_List_Onth(_u15272), _u15273))))), 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(_u15272)), _u15273)))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool), c_member(tc_Nat_Onat)), _u15274)))))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_listrel__iff__nth ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_listrel__iff__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15281), tc_List_Olist(_u15281))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15281), tc_List_Olist(_u15281)), _u15283), _u15285)), c_List_Olistrel(_u15281, _u15287))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15281)), _u15283) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15281)), _u15285)) )).
% 39.89/40.09 cnf(fact_listrel__iff__nth-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15281), tc_List_Olist(_u15281))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15281), tc_List_Olist(_u15281)), _u15283), _u15285)), c_List_Olistrel(_u15281, _u15287))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15275), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15281)), _u15283))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15281, _u15281)), hAPP(hAPP(c_Product__Type_OPair(_u15281, _u15281), hAPP(hAPP(c_List_Onth(_u15281), _u15283), _u15275)), hAPP(hAPP(c_List_Onth(_u15281), _u15285), _u15275))), _u15287)) )).
% 39.89/40.09 cnf(fact_listrel__iff__nth-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15282), tc_List_Olist(_u15282))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15282), tc_List_Olist(_u15282)), _u15284), _u15286)), c_List_Olistrel(_u15282, _u15288))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15282)), _u15284) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15282)), _u15286)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem364(_u15288, _u15286, _u15284, _u15282)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15282)), _u15284))) )).
% 39.89/40.09 cnf(fact_listrel__iff__nth-4, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15282), tc_List_Olist(_u15282))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15282), tc_List_Olist(_u15282)), _u15284), _u15286)), c_List_Olistrel(_u15282, _u15288))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15282)), _u15284) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15282)), _u15286)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15282, _u15282)), hAPP(hAPP(c_Product__Type_OPair(_u15282, _u15282), hAPP(hAPP(c_List_Onth(_u15282), _u15284), skolem364(_u15288, _u15286, _u15284, _u15282))), hAPP(hAPP(c_List_Onth(_u15282), _u15286), skolem364(_u15288, _u15286, _u15284, _u15282)))), _u15288)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_lexord__take__index__conv ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_lexord__take__index__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15295), tc_List_Olist(_u15295))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15295), tc_List_Olist(_u15295)), _u15297), _u15299)), c_List_Olexord(_u15295, _u15301))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15295)), _u15297)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15295)), _u15299))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem365(_u15301, _u15299, _u15297, _u15295)), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15295)), _u15297)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15295)), _u15299)))) )).
% 39.89/40.09 cnf(fact_lexord__take__index__conv-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15295), tc_List_Olist(_u15295))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15295), tc_List_Olist(_u15295)), _u15297), _u15299)), c_List_Olexord(_u15295, _u15301))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15295)), _u15297)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15295)), _u15299))) | ( hAPP(hAPP(c_List_Otake(_u15295), skolem365(_u15301, _u15299, _u15297, _u15295)), _u15297) = hAPP(hAPP(c_List_Otake(_u15295), skolem365(_u15301, _u15299, _u15297, _u15295)), _u15299)) )).
% 39.89/40.09 cnf(fact_lexord__take__index__conv-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15295), tc_List_Olist(_u15295))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15295), tc_List_Olist(_u15295)), _u15297), _u15299)), c_List_Olexord(_u15295, _u15301))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15295)), _u15297)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15295)), _u15299))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15295, _u15295)), hAPP(hAPP(c_Product__Type_OPair(_u15295, _u15295), hAPP(hAPP(c_List_Onth(_u15295), _u15297), skolem365(_u15301, _u15299, _u15297, _u15295))), hAPP(hAPP(c_List_Onth(_u15295), _u15299), skolem365(_u15301, _u15299, _u15297, _u15295)))), _u15301)) )).
% 39.89/40.09 cnf(fact_lexord__take__index__conv-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15295), tc_List_Olist(_u15295))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15295), tc_List_Olist(_u15295)), _u15297), _u15299)), c_List_Olexord(_u15295, _u15301))) | ( hAPP(hAPP(c_List_Otake(_u15295), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15295)), _u15297)), _u15299) = _u15297) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem365(_u15301, _u15299, _u15297, _u15295)), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15295)), _u15297)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15295)), _u15299)))) )).
% 39.89/40.09 cnf(fact_lexord__take__index__conv-5, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15295), tc_List_Olist(_u15295))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15295), tc_List_Olist(_u15295)), _u15297), _u15299)), c_List_Olexord(_u15295, _u15301))) | ( hAPP(hAPP(c_List_Otake(_u15295), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15295)), _u15297)), _u15299) = _u15297) | ( hAPP(hAPP(c_List_Otake(_u15295), skolem365(_u15301, _u15299, _u15297, _u15295)), _u15297) = hAPP(hAPP(c_List_Otake(_u15295), skolem365(_u15301, _u15299, _u15297, _u15295)), _u15299)) )).
% 39.89/40.09 cnf(fact_lexord__take__index__conv-6, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15295), tc_List_Olist(_u15295))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15295), tc_List_Olist(_u15295)), _u15297), _u15299)), c_List_Olexord(_u15295, _u15301))) | ( hAPP(hAPP(c_List_Otake(_u15295), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15295)), _u15297)), _u15299) = _u15297) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15295, _u15295)), hAPP(hAPP(c_Product__Type_OPair(_u15295, _u15295), hAPP(hAPP(c_List_Onth(_u15295), _u15297), skolem365(_u15301, _u15299, _u15297, _u15295))), hAPP(hAPP(c_List_Onth(_u15295), _u15299), skolem365(_u15301, _u15299, _u15297, _u15295)))), _u15301)) )).
% 39.89/40.09 cnf(fact_lexord__take__index__conv-7, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15296), tc_List_Olist(_u15296))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15296), tc_List_Olist(_u15296)), _u15298), _u15300)), c_List_Olexord(_u15296, _u15302))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15296)), _u15298)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15296)), _u15300))) | ( hAPP(hAPP(c_List_Otake(_u15296), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15296)), _u15298)), _u15300) != _u15298) )).
% 39.89/40.09 cnf(fact_lexord__take__index__conv-8, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15296), tc_List_Olist(_u15296))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15296), tc_List_Olist(_u15296)), _u15298), _u15300)), c_List_Olexord(_u15296, _u15302))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15290), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15296)), _u15298)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15296)), _u15300)))) | ( hAPP(hAPP(c_List_Otake(_u15296), _u15290), _u15298) != hAPP(hAPP(c_List_Otake(_u15296), _u15290), _u15300)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15296, _u15296)), hAPP(hAPP(c_Product__Type_OPair(_u15296, _u15296), hAPP(hAPP(c_List_Onth(_u15296), _u15298), _u15290)), hAPP(hAPP(c_List_Onth(_u15296), _u15300), _u15290))), _u15302)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_distinct__list__update ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_distinct__list__update-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u15303), _u15304)) | hBOOL(hAPP(hAPP(c_member(_u15303), _u15305), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u15303, tc_HOL_Obool)), hAPP(c_List_Oset(_u15303), _u15304)), hAPP(hAPP(c_Set_Oinsert(_u15303), hAPP(hAPP(c_List_Onth(_u15303), _u15304), _u15306)), c_Orderings_Obot__class_Obot(tc_fun(_u15303, tc_HOL_Obool)))))) | hBOOL(hAPP(c_List_Odistinct(_u15303), hAPP(hAPP(c_List_Olist__update(_u15303, _u15304), _u15306), _u15305))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_nth__list__update__neq ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_nth__list__update__neq-1, axiom, ( ( _u15307 = _u15308) | ( hAPP(hAPP(c_List_Onth(_u15309), hAPP(hAPP(c_List_Olist__update(_u15309, _u15310), _u15307), _u15311)), _u15308) = hAPP(hAPP(c_List_Onth(_u15309), _u15310), _u15308)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_list__update__id ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_list__update__id-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u15312, _u15313), _u15314), hAPP(hAPP(c_List_Onth(_u15312), _u15313), _u15314)) = _u15313) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_nth__take ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_nth__take-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15315), _u15316)) | ( hAPP(hAPP(c_List_Onth(_u15317), hAPP(hAPP(c_List_Otake(_u15317), _u15316), _u15318)), _u15315) = hAPP(hAPP(c_List_Onth(_u15317), _u15318), _u15315)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_map__update ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_map__update-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u15319, _u15320), _u15321), hAPP(hAPP(c_List_Olist__update(_u15319, _u15322), _u15323), _u15324)) = hAPP(hAPP(c_List_Olist__update(_u15320, hAPP(hAPP(c_List_Omap(_u15319, _u15320), _u15321), _u15322)), _u15323), hAPP(_u15321, _u15324))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_take__map ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_take__map-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u15325), _u15326), hAPP(hAPP(c_List_Omap(_u15327, _u15325), _u15328), _u15329)) = hAPP(hAPP(c_List_Omap(_u15327, _u15325), _u15328), hAPP(hAPP(c_List_Otake(_u15327), _u15326), _u15329))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_take__Suc__Cons ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_take__Suc__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u15330), hAPP(c_Nat_OSuc, _u15331)), hAPP(hAPP(c_List_Olist_OCons(_u15330), _u15332), _u15333)) = hAPP(hAPP(c_List_Olist_OCons(_u15330), _u15332), hAPP(hAPP(c_List_Otake(_u15330), _u15331), _u15333))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_list__update_Osimps_I2_J ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_list__update_Osimps_I2_J-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u15334, hAPP(hAPP(c_List_Olist_OCons(_u15334), _u15335), _u15336)), _u15337), _u15338) = c_Nat_Onat_Onat__case(tc_List_Olist(_u15334), hAPP(hAPP(c_List_Olist_OCons(_u15334), _u15338), _u15336), hAPP(hAPP(c_COMBB(tc_List_Olist(_u15334), tc_List_Olist(_u15334), tc_Nat_Onat), hAPP(c_List_Olist_OCons(_u15334), _u15335)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, _u15334, tc_List_Olist(_u15334)), c_List_Olist__update(_u15334, _u15336)), _u15338)), _u15337)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_list__update__code_I2_J ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_list__update__code_I2_J-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u15339, hAPP(hAPP(c_List_Olist_OCons(_u15339), _u15340), _u15341)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u15342) = hAPP(hAPP(c_List_Olist_OCons(_u15339), _u15342), _u15341)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_list__update__code_I3_J ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_list__update__code_I3_J-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u15343, hAPP(hAPP(c_List_Olist_OCons(_u15343), _u15344), _u15345)), hAPP(c_Nat_OSuc, _u15346)), _u15347) = hAPP(hAPP(c_List_Olist_OCons(_u15343), _u15344), hAPP(hAPP(c_List_Olist__update(_u15343, _u15345), _u15346), _u15347))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_update__zip ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_update__zip-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(tc_prod(_u15348, _u15349), hAPP(hAPP(c_List_Ozip(_u15348, _u15349), _u15350), _u15351)), _u15352), _u15353) = hAPP(hAPP(c_List_Ozip(_u15348, _u15349), hAPP(hAPP(c_List_Olist__update(_u15348, _u15350), _u15352), hAPP(c_Product__Type_Ofst(_u15348, _u15349), _u15353))), hAPP(hAPP(c_List_Olist__update(_u15349, _u15351), _u15352), hAPP(c_Product__Type_Osnd(_u15348, _u15349), _u15353)))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_take__zip ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_take__zip-1, axiom, ( ( hAPP(hAPP(c_List_Otake(tc_prod(_u15354, _u15355)), _u15356), hAPP(hAPP(c_List_Ozip(_u15354, _u15355), _u15357), _u15358)) = hAPP(hAPP(c_List_Ozip(_u15354, _u15355), hAPP(hAPP(c_List_Otake(_u15354), _u15356), _u15357)), hAPP(hAPP(c_List_Otake(_u15355), _u15356), _u15358))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_zip__update ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_zip__update-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u15359, _u15360), hAPP(hAPP(c_List_Olist__update(_u15359, _u15361), _u15362), _u15363)), hAPP(hAPP(c_List_Olist__update(_u15360, _u15364), _u15362), _u15365)) = hAPP(hAPP(c_List_Olist__update(tc_prod(_u15359, _u15360), hAPP(hAPP(c_List_Ozip(_u15359, _u15360), _u15361), _u15364)), _u15362), hAPP(hAPP(c_Product__Type_OPair(_u15359, _u15360), _u15363), _u15365))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_in__set__takeD ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_in__set__takeD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15366), _u15367), hAPP(c_List_Oset(_u15366), hAPP(hAPP(c_List_Otake(_u15366), _u15368), _u15369)))) | hBOOL(hAPP(hAPP(c_member(_u15366), _u15367), hAPP(c_List_Oset(_u15366), _u15369))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_take__take ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_take__take-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u15370), _u15371), hAPP(hAPP(c_List_Otake(_u15370), _u15372), _u15373)) = hAPP(hAPP(c_List_Otake(_u15370), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u15371), _u15372)), _u15373)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_list__update__overwrite ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_list__update__overwrite-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u15374, hAPP(hAPP(c_List_Olist__update(_u15374, _u15375), _u15376), _u15377)), _u15376), _u15378) = hAPP(hAPP(c_List_Olist__update(_u15374, _u15375), _u15376), _u15378)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_list__update__swap ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_list__update__swap-1, axiom, ( ( _u15379 = _u15380) | ( hAPP(hAPP(c_List_Olist__update(_u15381, hAPP(hAPP(c_List_Olist__update(_u15381, _u15382), _u15379), _u15383)), _u15380), _u15384) = hAPP(hAPP(c_List_Olist__update(_u15381, hAPP(hAPP(c_List_Olist__update(_u15381, _u15382), _u15380), _u15384)), _u15379), _u15383)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_distinct__take ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_distinct__take-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u15385), _u15386)) | hBOOL(hAPP(c_List_Odistinct(_u15385), hAPP(hAPP(c_List_Otake(_u15385), _u15387), _u15386))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_set__take__subset ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_set__take__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15388, tc_HOL_Obool)), hAPP(c_List_Oset(_u15388), hAPP(hAPP(c_List_Otake(_u15388), _u15389), _u15390))), hAPP(c_List_Oset(_u15388), _u15390))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_take__all ( axiom ) converted to clauses:
% 39.89/40.09 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(_u15391)), _u15392)), _u15393)) | ( hAPP(hAPP(c_List_Otake(_u15391), _u15393), _u15392) = _u15392) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_list__update__beyond ( axiom ) converted to clauses:
% 39.89/40.09 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(_u15394)), _u15395)), _u15396)) | ( hAPP(hAPP(c_List_Olist__update(_u15394, _u15395), _u15396), _u15397) = _u15395) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_length__take ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_length__take-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15398)), hAPP(hAPP(c_List_Otake(_u15398), _u15399), _u15400)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15398)), _u15400)), _u15399)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_length__list__update ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_length__list__update-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15401)), hAPP(hAPP(c_List_Olist__update(_u15401, _u15402), _u15403), _u15404)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15401)), _u15402)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_sublist__upt__eq__take ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_sublist__upt__eq__take-1, axiom, ( ( c_List_Osublist(_u15405, _u15406, hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u15407)) = hAPP(hAPP(c_List_Otake(_u15405), _u15407), _u15406)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_set__take__subset__set__take ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_set__take__subset__set__take-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15408), _u15409)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15410, tc_HOL_Obool)), hAPP(c_List_Oset(_u15410), hAPP(hAPP(c_List_Otake(_u15410), _u15408), _u15411))), hAPP(c_List_Oset(_u15410), hAPP(hAPP(c_List_Otake(_u15410), _u15409), _u15411)))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_set__update__subsetI ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_set__update__subsetI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15412, tc_HOL_Obool)), hAPP(c_List_Oset(_u15412), _u15413)), _u15414)) | ~hBOOL(hAPP(hAPP(c_member(_u15412), _u15415), _u15414)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15412, tc_HOL_Obool)), hAPP(c_List_Oset(_u15412), hAPP(hAPP(c_List_Olist__update(_u15412, _u15413), _u15416), _u15415))), _u15414)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_set__update__subset__insert ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_set__update__subset__insert-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15417, tc_HOL_Obool)), hAPP(c_List_Oset(_u15417), hAPP(hAPP(c_List_Olist__update(_u15417, _u15418), _u15419), _u15420))), hAPP(hAPP(c_Set_Oinsert(_u15417), _u15420), hAPP(c_List_Oset(_u15417), _u15418)))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_nth__list__update__eq ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_nth__list__update__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15421), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15422)), _u15423))) | ( hAPP(hAPP(c_List_Onth(_u15422), hAPP(hAPP(c_List_Olist__update(_u15422, _u15423), _u15421), _u15424)), _u15421) = _u15424) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_list__update__same__conv ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_list__update__same__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15425), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15426)), _u15427))) | ( hAPP(hAPP(c_List_Olist__update(_u15426, _u15427), _u15425), _u15428) != _u15427) | ( hAPP(hAPP(c_List_Onth(_u15426), _u15427), _u15425) = _u15428) )).
% 39.89/40.09 cnf(fact_list__update__same__conv-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15425), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15426)), _u15427))) | ( hAPP(hAPP(c_List_Onth(_u15426), _u15427), _u15425) != _u15428) | ( hAPP(hAPP(c_List_Olist__update(_u15426, _u15427), _u15425), _u15428) = _u15427) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_nth__list__update ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_nth__list__update-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15429), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15430)), _u15431))) | ( _u15429 != _u15432) | ( hAPP(hAPP(c_List_Onth(_u15430), hAPP(hAPP(c_List_Olist__update(_u15430, _u15431), _u15429), _u15433)), _u15432) = _u15433) )).
% 39.89/40.09 cnf(fact_nth__list__update-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15429), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15430)), _u15431))) | ( _u15429 = _u15432) | ( hAPP(hAPP(c_List_Onth(_u15430), hAPP(hAPP(c_List_Olist__update(_u15430, _u15431), _u15429), _u15433)), _u15432) = hAPP(hAPP(c_List_Onth(_u15430), _u15431), _u15432)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_set__update__memI ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_set__update__memI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15434), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15435)), _u15436))) | hBOOL(hAPP(hAPP(c_member(_u15435), _u15437), hAPP(c_List_Oset(_u15435), hAPP(hAPP(c_List_Olist__update(_u15435, _u15436), _u15434), _u15437)))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_map__upd__upds__conv__if ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_map__upd__upds__conv__if-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15445), _u15447), hAPP(c_List_Oset(_u15445), hAPP(hAPP(c_List_Otake(_u15445), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15449)), _u15451)), _u15453)))) | ( c_Map_Omap__upds(_u15445, _u15449, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u15445, tc_Option_Ooption(_u15449)), _u15455), _u15447), hAPP(c_Option_Ooption_OSome(_u15449), _u15457)), _u15453, _u15451) = c_Map_Omap__upds(_u15445, _u15449, _u15455, _u15453, _u15451)) )).
% 39.89/40.09 cnf(fact_map__upd__upds__conv__if-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u15446), _u15448), hAPP(c_List_Oset(_u15446), hAPP(hAPP(c_List_Otake(_u15446), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15450)), _u15452)), _u15454)))) | ( c_Map_Omap__upds(_u15446, _u15450, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u15446, tc_Option_Ooption(_u15450)), _u15456), _u15448), hAPP(c_Option_Ooption_OSome(_u15450), _u15458)), _u15454, _u15452) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u15446, tc_Option_Ooption(_u15450)), c_Map_Omap__upds(_u15446, _u15450, _u15456, _u15454, _u15452)), _u15448), hAPP(c_Option_Ooption_OSome(_u15450), _u15458))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_listrel1__subset__listrel ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_listrel1__subset__listrel-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15459, _u15459), tc_HOL_Obool)), _u15460), _u15461)) | ~c_Relation_Orefl__on(_u15459, c_Orderings_Otop__class_Otop(tc_fun(_u15459, tc_HOL_Obool)), _u15461) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u15459), tc_List_Olist(_u15459)), tc_HOL_Obool)), c_List_Olistrel1(_u15459, _u15460)), c_List_Olistrel(_u15459, _u15461))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_Cons__acc__listrel1I ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_Cons__acc__listrel1I-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15462), _u15463), c_Wellfounded_Oacc(_u15462, _u15464))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15462)), _u15465), c_Wellfounded_Oacc(tc_List_Olist(_u15462), c_List_Olistrel1(_u15462, _u15464)))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15462)), hAPP(hAPP(c_List_Olist_OCons(_u15462), _u15463), _u15465)), c_Wellfounded_Oacc(tc_List_Olist(_u15462), c_List_Olistrel1(_u15462, _u15464)))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_map__add__upds ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_map__add__upds-1, axiom, ( ( c_Map_Omap__add(_u15466, _u15467, _u15468, c_Map_Omap__upds(_u15466, _u15467, _u15469, _u15470, _u15471)) = c_Map_Omap__upds(_u15466, _u15467, c_Map_Omap__add(_u15466, _u15467, _u15468, _u15469), _u15470, _u15471)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_map__upds__apply__nontin ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_map__upds__apply__nontin-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u15472), _u15473), hAPP(c_List_Oset(_u15472), _u15474))) | ( hAPP(c_Map_Omap__upds(_u15472, _u15475, _u15476, _u15474, _u15477), _u15473) = hAPP(_u15476, _u15473)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_listrel1__mono ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_listrel1__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15478, _u15478), tc_HOL_Obool)), _u15479), _u15480)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u15478), tc_List_Olist(_u15478)), tc_HOL_Obool)), c_List_Olistrel1(_u15478, _u15479)), c_List_Olistrel1(_u15478, _u15480))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_listrel1I2 ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_listrel1I2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15481), tc_List_Olist(_u15481))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15481), tc_List_Olist(_u15481)), _u15482), _u15483)), c_List_Olistrel1(_u15481, _u15484))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15481), tc_List_Olist(_u15481))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15481), tc_List_Olist(_u15481)), hAPP(hAPP(c_List_Olist_OCons(_u15481), _u15485), _u15482)), hAPP(hAPP(c_List_Olist_OCons(_u15481), _u15485), _u15483))), c_List_Olistrel1(_u15481, _u15484))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_listrel1__eq__len ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_listrel1__eq__len-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15486), tc_List_Olist(_u15486))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15486), tc_List_Olist(_u15486)), _u15487), _u15488)), c_List_Olistrel1(_u15486, _u15489))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15486)), _u15487) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15486)), _u15488)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_map__upds__Cons ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_map__upds__Cons-1, axiom, ( ( c_Map_Omap__upds(_u15490, _u15491, _u15492, hAPP(hAPP(c_List_Olist_OCons(_u15490), _u15493), _u15494), hAPP(hAPP(c_List_Olist_OCons(_u15491), _u15495), _u15496)) = c_Map_Omap__upds(_u15490, _u15491, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u15490, tc_Option_Ooption(_u15491)), _u15492), _u15493), hAPP(c_Option_Ooption_OSome(_u15491), _u15495)), _u15494, _u15496)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_lists__accI ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_lists__accI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15497)), _u15498), c_Wellfounded_Oacc(tc_List_Olist(_u15497), c_List_Olistrel1(_u15497, _u15499)))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15497)), _u15498), c_List_Olists(_u15497, c_Wellfounded_Oacc(_u15497, _u15499)))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_lists__accD ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_lists__accD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15500)), _u15501), c_List_Olists(_u15500, c_Wellfounded_Oacc(_u15500, _u15502)))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15500)), _u15501), c_Wellfounded_Oacc(tc_List_Olist(_u15500), c_List_Olistrel1(_u15500, _u15502)))) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_map__upds__list__update2__drop ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_map__upds__list__update2__drop-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15503)), _u15504)), _u15505)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15505), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15506)), _u15507))) | ( c_Map_Omap__upds(_u15503, _u15506, _u15508, _u15504, hAPP(hAPP(c_List_Olist__update(_u15506, _u15507), _u15505), _u15509)) = c_Map_Omap__upds(_u15503, _u15506, _u15508, _u15504, _u15507)) )).
% 39.89/40.09
% 39.89/40.09 % Formula: fact_map__upds__twist ( axiom ) converted to clauses:
% 39.89/40.09 cnf(fact_map__upds__twist-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u15510), _u15511), hAPP(c_List_Oset(_u15510), _u15512))) | ( c_Map_Omap__upds(_u15510, _u15513, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u15510, tc_Option_Ooption(_u15513)), _u15514), _u15511), hAPP(c_Option_Ooption_OSome(_u15513), _u15515)), _u15512, _u15516) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u15510, tc_Option_Ooption(_u15513)), c_Map_Omap__upds(_u15510, _u15513, _u15514, _u15512, _u15516)), _u15511), hAPP(c_Option_Ooption_OSome(_u15513), _u15515))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_listrel1I1 ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_listrel1I1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15517, _u15517)), hAPP(hAPP(c_Product__Type_OPair(_u15517, _u15517), _u15518), _u15519)), _u15520)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15517), tc_List_Olist(_u15517))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15517), tc_List_Olist(_u15517)), hAPP(hAPP(c_List_Olist_OCons(_u15517), _u15518), _u15521)), hAPP(hAPP(c_List_Olist_OCons(_u15517), _u15519), _u15521))), c_List_Olistrel1(_u15517, _u15520))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_Cons__listrel1__Cons ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_Cons__listrel1__Cons-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15528), tc_List_Olist(_u15528))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15528), tc_List_Olist(_u15528)), hAPP(hAPP(c_List_Olist_OCons(_u15528), _u15530), _u15532)), hAPP(hAPP(c_List_Olist_OCons(_u15528), _u15534), _u15536))), c_List_Olistrel1(_u15528, _u15538))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15528, _u15528)), hAPP(hAPP(c_Product__Type_OPair(_u15528, _u15528), _u15530), _u15534)), _u15538)) | ( _u15530 = _u15534) )).
% 39.89/40.10 cnf(fact_Cons__listrel1__Cons-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15528), tc_List_Olist(_u15528))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15528), tc_List_Olist(_u15528)), hAPP(hAPP(c_List_Olist_OCons(_u15528), _u15530), _u15532)), hAPP(hAPP(c_List_Olist_OCons(_u15528), _u15534), _u15536))), c_List_Olistrel1(_u15528, _u15538))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15528, _u15528)), hAPP(hAPP(c_Product__Type_OPair(_u15528, _u15528), _u15530), _u15534)), _u15538)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15528), tc_List_Olist(_u15528))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15528), tc_List_Olist(_u15528)), _u15532), _u15536)), c_List_Olistrel1(_u15528, _u15538))) )).
% 39.89/40.10 cnf(fact_Cons__listrel1__Cons-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15528), tc_List_Olist(_u15528))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15528), tc_List_Olist(_u15528)), hAPP(hAPP(c_List_Olist_OCons(_u15528), _u15530), _u15532)), hAPP(hAPP(c_List_Olist_OCons(_u15528), _u15534), _u15536))), c_List_Olistrel1(_u15528, _u15538))) | ( _u15532 = _u15536) | ( _u15530 = _u15534) )).
% 39.89/40.10 cnf(fact_Cons__listrel1__Cons-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15528), tc_List_Olist(_u15528))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15528), tc_List_Olist(_u15528)), hAPP(hAPP(c_List_Olist_OCons(_u15528), _u15530), _u15532)), hAPP(hAPP(c_List_Olist_OCons(_u15528), _u15534), _u15536))), c_List_Olistrel1(_u15528, _u15538))) | ( _u15532 = _u15536) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15528), tc_List_Olist(_u15528))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15528), tc_List_Olist(_u15528)), _u15532), _u15536)), c_List_Olistrel1(_u15528, _u15538))) )).
% 39.89/40.10 cnf(fact_Cons__listrel1__Cons-5, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15529), tc_List_Olist(_u15529))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15529), tc_List_Olist(_u15529)), hAPP(hAPP(c_List_Olist_OCons(_u15529), _u15531), _u15533)), hAPP(hAPP(c_List_Olist_OCons(_u15529), _u15535), _u15537))), c_List_Olistrel1(_u15529, _u15539))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15529, _u15529)), hAPP(hAPP(c_Product__Type_OPair(_u15529, _u15529), _u15531), _u15535)), _u15539)) | ( _u15533 != _u15537) )).
% 39.89/40.10 cnf(fact_Cons__listrel1__Cons-6, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15529), tc_List_Olist(_u15529))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15529), tc_List_Olist(_u15529)), hAPP(hAPP(c_List_Olist_OCons(_u15529), _u15531), _u15533)), hAPP(hAPP(c_List_Olist_OCons(_u15529), _u15535), _u15537))), c_List_Olistrel1(_u15529, _u15539))) | ( _u15531 != _u15535) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15529), tc_List_Olist(_u15529))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15529), tc_List_Olist(_u15529)), _u15533), _u15537)), c_List_Olistrel1(_u15529, _u15539))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_restrict__map__upds ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_restrict__map__upds-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15540)), _u15541) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15542)), _u15543)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15540, tc_HOL_Obool)), hAPP(c_List_Oset(_u15540), _u15541)), _u15544)) | ( c_Map_Orestrict__map(_u15540, _u15542, c_Map_Omap__upds(_u15540, _u15542, _u15545, _u15541, _u15543), _u15544) = c_Map_Omap__upds(_u15540, _u15542, c_Map_Orestrict__map(_u15540, _u15542, _u15545, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u15540, tc_HOL_Obool)), _u15544), hAPP(c_List_Oset(_u15540), _u15541))), _u15541, _u15543)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_dom__map__upds ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_dom__map__upds-1, axiom, ( ( c_Map_Odom(_u15546, _u15547, c_Map_Omap__upds(_u15546, _u15547, _u15548, _u15549, _u15550)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15546, tc_HOL_Obool)), hAPP(c_List_Oset(_u15546), hAPP(hAPP(c_List_Otake(_u15546), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15547)), _u15550)), _u15549))), c_Map_Odom(_u15546, _u15547, _u15548))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_listrel1__iff__update ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_listrel1__iff__update-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15559), tc_List_Olist(_u15559))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15559), tc_List_Olist(_u15559)), _u15561), _u15563)), c_List_Olistrel1(_u15559, _u15565))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15559, _u15559)), hAPP(hAPP(c_Product__Type_OPair(_u15559, _u15559), hAPP(hAPP(c_List_Onth(_u15559), _u15561), skolem367(_u15565, _u15563, _u15561, _u15559))), skolem366(_u15565, _u15563, _u15561, _u15559))), _u15565)) )).
% 39.89/40.10 cnf(fact_listrel1__iff__update-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15559), tc_List_Olist(_u15559))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15559), tc_List_Olist(_u15559)), _u15561), _u15563)), c_List_Olistrel1(_u15559, _u15565))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem367(_u15565, _u15563, _u15561, _u15559)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15559)), _u15561))) )).
% 39.89/40.10 cnf(fact_listrel1__iff__update-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15559), tc_List_Olist(_u15559))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15559), tc_List_Olist(_u15559)), _u15561), _u15563)), c_List_Olistrel1(_u15559, _u15565))) | ( _u15563 = hAPP(hAPP(c_List_Olist__update(_u15559, _u15561), skolem367(_u15565, _u15563, _u15561, _u15559)), skolem366(_u15565, _u15563, _u15561, _u15559))) )).
% 39.89/40.10 cnf(fact_listrel1__iff__update-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15560, _u15560)), hAPP(hAPP(c_Product__Type_OPair(_u15560, _u15560), hAPP(hAPP(c_List_Onth(_u15560), _u15562), _u15553)), _u15554)), _u15566)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15553), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15560)), _u15562))) | ( _u15564 != hAPP(hAPP(c_List_Olist__update(_u15560, _u15562), _u15553), _u15554)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15560), tc_List_Olist(_u15560))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15560), tc_List_Olist(_u15560)), _u15562), _u15564)), c_List_Olistrel1(_u15560, _u15566))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_map__of__zip__enum__is__Some ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_map__of__zip__enum__is__Some-1, axiom, ( ~class_Enum_Oenum(_u15568) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15569)), _u15570) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15568)), c_Enum_Oenum__class_Oenum(_u15568))) | ( hAPP(hAPP(c_Map_Omap__of(_u15568, _u15569), hAPP(hAPP(c_List_Ozip(_u15568, _u15569), c_Enum_Oenum__class_Oenum(_u15568)), _u15570)), _u15571) = hAPP(c_Option_Ooption_OSome(_u15569), skolem368(_u15571, _u15570, _u15569, _u15568))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_lexord__linear ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_lexord__linear-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15574), tc_List_Olist(_u15574))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15574), tc_List_Olist(_u15574)), _u15576), _u15577)), c_List_Olexord(_u15574, _u15575))) | ( _u15576 = _u15577) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15574), tc_List_Olist(_u15574))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15574), tc_List_Olist(_u15574)), _u15577), _u15576)), c_List_Olexord(_u15574, _u15575))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15574, _u15574)), hAPP(hAPP(c_Product__Type_OPair(_u15574, _u15574), skolem369(_u15577, _u15576, _u15575, _u15574)), skolem370(_u15577, _u15576, _u15575, _u15574))), _u15575)) )).
% 39.89/40.10 cnf(fact_lexord__linear-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15574), tc_List_Olist(_u15574))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15574), tc_List_Olist(_u15574)), _u15576), _u15577)), c_List_Olexord(_u15574, _u15575))) | ( _u15576 = _u15577) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15574), tc_List_Olist(_u15574))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15574), tc_List_Olist(_u15574)), _u15577), _u15576)), c_List_Olexord(_u15574, _u15575))) | ( skolem369(_u15577, _u15576, _u15575, _u15574) != skolem370(_u15577, _u15576, _u15575, _u15574)) )).
% 39.89/40.10 cnf(fact_lexord__linear-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15574), tc_List_Olist(_u15574))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15574), tc_List_Olist(_u15574)), _u15576), _u15577)), c_List_Olexord(_u15574, _u15575))) | ( _u15576 = _u15577) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15574), tc_List_Olist(_u15574))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15574), tc_List_Olist(_u15574)), _u15577), _u15576)), c_List_Olexord(_u15574, _u15575))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15574, _u15574)), hAPP(hAPP(c_Product__Type_OPair(_u15574, _u15574), skolem370(_u15577, _u15576, _u15575, _u15574)), skolem369(_u15577, _u15576, _u15575, _u15574))), _u15575)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_lexord__irreflexive ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_lexord__irreflexive-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u15579, _u15579)), hAPP(hAPP(c_Product__Type_OPair(_u15579, _u15579), skolem371(_u15581, _u15580, _u15579)), skolem371(_u15581, _u15580, _u15579))), _u15580)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15579), tc_List_Olist(_u15579))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15579), tc_List_Olist(_u15579)), _u15581), _u15581)), c_List_Olexord(_u15579, _u15580))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_inj__on__mapI ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_inj__on__mapI-1, axiom, ( ~c_Fun_Oinj__on(_u15582, _u15583, _u15584, c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15582, tc_HOL_Obool), hAPP(c_Set_Oimage(tc_List_Olist(_u15582), tc_fun(_u15582, tc_HOL_Obool), c_List_Oset(_u15582)), _u15585))) | c_Fun_Oinj__on(tc_List_Olist(_u15582), tc_List_Olist(_u15583), hAPP(c_List_Omap(_u15582, _u15583), _u15584), _u15585) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_weak__map__of__SomeI ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_weak__map__of__SomeI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15587, _u15588)), hAPP(hAPP(c_Product__Type_OPair(_u15587, _u15588), _u15589), _u15590)), hAPP(c_List_Oset(tc_prod(_u15587, _u15588)), _u15591))) | ( hAPP(hAPP(c_Map_Omap__of(_u15587, _u15588), _u15591), _u15589) = hAPP(c_Option_Ooption_OSome(_u15588), skolem372(_u15591, _u15590, _u15589, _u15588, _u15587))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_UnionI ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_UnionI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u15592, tc_HOL_Obool)), _u15593), _u15594)) | ~hBOOL(hAPP(hAPP(c_member(_u15592), _u15595), _u15593)) | hBOOL(hAPP(hAPP(c_member(_u15592), _u15595), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15592, tc_HOL_Obool), _u15594))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_Union__quotient ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_Union__quotient-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u15596, _u15597, _u15598) | ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15596, tc_HOL_Obool), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u15596), _u15597), _u15598)) = _u15597) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_Union__insert ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_Union__insert-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15599, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u15599, tc_HOL_Obool)), _u15600), _u15601)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15599, tc_HOL_Obool)), _u15600), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15599, tc_HOL_Obool), _u15601))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_Sigma__Union ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_Sigma__Union-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u15602, _u15603), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15602, tc_HOL_Obool), _u15604)), _u15605) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u15602, tc_HOL_Obool), tc_fun(tc_prod(_u15602, _u15603), tc_HOL_Obool)), _u15604), hAPP(hAPP(c_COMBC(tc_fun(_u15602, tc_HOL_Obool), tc_fun(_u15602, tc_fun(_u15603, tc_HOL_Obool)), tc_fun(tc_prod(_u15602, _u15603), tc_HOL_Obool)), c_Product__Type_OSigma(_u15602, _u15603)), _u15605))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_Union__disjoint ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_Union__disjoint-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15611, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15611, tc_HOL_Obool), _u15613)), _u15615) != c_Orderings_Obot__class_Obot(tc_fun(_u15611, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u15611, tc_HOL_Obool)), _u15606), _u15613)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15611, tc_HOL_Obool)), _u15606), _u15615) = c_Orderings_Obot__class_Obot(tc_fun(_u15611, tc_HOL_Obool))) )).
% 39.89/40.10 cnf(fact_Union__disjoint-2, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15612, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15612, tc_HOL_Obool), _u15614)), _u15616) = c_Orderings_Obot__class_Obot(tc_fun(_u15612, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u15612, tc_HOL_Obool)), skolem373(_u15616, _u15614, _u15612)), _u15614)) )).
% 39.89/40.10 cnf(fact_Union__disjoint-3, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15612, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15612, tc_HOL_Obool), _u15614)), _u15616) = c_Orderings_Obot__class_Obot(tc_fun(_u15612, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15612, tc_HOL_Obool)), skolem373(_u15616, _u15614, _u15612)), _u15616) != c_Orderings_Obot__class_Obot(tc_fun(_u15612, tc_HOL_Obool))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_Int__Union2 ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_Int__Union2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15617, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15617, tc_HOL_Obool), _u15618)), _u15619) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u15617, tc_HOL_Obool), tc_fun(_u15617, tc_HOL_Obool)), _u15618), hAPP(hAPP(c_COMBC(tc_fun(_u15617, tc_HOL_Obool), tc_fun(_u15617, tc_HOL_Obool), tc_fun(_u15617, tc_HOL_Obool)), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15617, tc_HOL_Obool))), _u15619))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_Int__Union ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_Int__Union-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15620, tc_HOL_Obool)), _u15621), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15620, tc_HOL_Obool), _u15622)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u15620, tc_HOL_Obool), tc_fun(_u15620, tc_HOL_Obool)), _u15622), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15620, tc_HOL_Obool)), _u15621))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_Domain__Union ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_Domain__Union-1, axiom, ( ( hAPP(c_Relation_ODomain(_u15623, _u15624), c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(_u15623, _u15624), tc_HOL_Obool), _u15625)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(tc_prod(_u15623, _u15624), tc_HOL_Obool), tc_fun(_u15623, tc_HOL_Obool)), _u15625), c_Relation_ODomain(_u15623, _u15624))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_Range__Union ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_Range__Union-1, axiom, ( ( hAPP(c_Relation_ORange(_u15626, _u15627), c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(_u15626, _u15627), tc_HOL_Obool), _u15628)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(tc_prod(_u15626, _u15627), tc_HOL_Obool), tc_fun(_u15627, tc_HOL_Obool)), _u15628), c_Relation_ORange(_u15626, _u15627))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_Union__def ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_Union__def-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15629, tc_HOL_Obool), _u15630) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u15629, tc_HOL_Obool), tc_fun(_u15629, tc_HOL_Obool)), _u15630), c_COMBI(tc_fun(_u15629, tc_HOL_Obool)))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_UN__simps_I8_J ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_UN__simps_I8_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15631, tc_fun(_u15632, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15631, tc_HOL_Obool), _u15633)), _u15634) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u15631, tc_HOL_Obool), tc_fun(_u15632, tc_HOL_Obool)), _u15633), hAPP(hAPP(c_COMBC(tc_fun(_u15631, tc_HOL_Obool), tc_fun(_u15631, tc_fun(_u15632, tc_HOL_Obool)), tc_fun(_u15632, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15631, tc_fun(_u15632, tc_HOL_Obool))), _u15634))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_UN__extend__simps_I8_J ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_UN__extend__simps_I8_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u15635, tc_HOL_Obool), tc_fun(_u15636, tc_HOL_Obool)), _u15637), hAPP(hAPP(c_COMBC(tc_fun(_u15635, tc_HOL_Obool), tc_fun(_u15635, tc_fun(_u15636, tc_HOL_Obool)), tc_fun(_u15636, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15635, tc_fun(_u15636, tc_HOL_Obool))), _u15638)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15635, tc_fun(_u15636, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15635, tc_HOL_Obool), _u15637)), _u15638)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_vimage__Union ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_vimage__Union-1, axiom, ( ( hAPP(c_Set_Ovimage(_u15639, _u15640, _u15641), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15640, tc_HOL_Obool), _u15642)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u15640, tc_HOL_Obool), tc_fun(_u15639, tc_HOL_Obool)), _u15642), c_Set_Ovimage(_u15639, _u15640, _u15641))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_less__Sup__iff ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_less__Sup__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15645) | ~class_Orderings_Olinorder(_u15645) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u15645), _u15646), c_Complete__Lattice_OSup__class_OSup(_u15645, _u15647))) | hBOOL(hAPP(hAPP(c_member(_u15645), skolem374(_u15647, _u15646, _u15645)), _u15647)) )).
% 39.89/40.10 cnf(fact_less__Sup__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15645) | ~class_Orderings_Olinorder(_u15645) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u15645), _u15646), c_Complete__Lattice_OSup__class_OSup(_u15645, _u15647))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u15645), _u15646), skolem374(_u15647, _u15646, _u15645))) )).
% 39.89/40.10 cnf(fact_less__Sup__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15645) | ~class_Orderings_Olinorder(_u15645) | ~hBOOL(hAPP(hAPP(c_member(_u15645), _u15644), _u15647)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u15645), _u15646), _u15644)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u15645), _u15646), c_Complete__Lattice_OSup__class_OSup(_u15645, _u15647))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_Union__Pow__eq ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_Union__Pow__eq-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15648, tc_HOL_Obool), hAPP(c_Set_OPow(_u15648), _u15649)) = _u15649) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_Field__Union ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_Field__Union-1, axiom, ( ( hAPP(c_Relation_OField(_u15650), c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(_u15650, _u15650), tc_HOL_Obool), _u15651)) = c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15650, tc_HOL_Obool), hAPP(c_Set_Oimage(tc_fun(tc_prod(_u15650, _u15650), tc_HOL_Obool), tc_fun(_u15650, tc_HOL_Obool), c_Relation_OField(_u15650)), _u15651))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_image__Union ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_image__Union-1, axiom, ( ( hAPP(c_Set_Oimage(_u15652, _u15653, _u15654), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15652, tc_HOL_Obool), _u15655)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u15652, tc_HOL_Obool), tc_fun(_u15653, tc_HOL_Obool)), _u15655), c_Set_Oimage(_u15652, _u15653, _u15654))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_Union__empty ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_Union__empty-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15656, tc_HOL_Obool), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u15656, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u15656, tc_HOL_Obool))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_Union__upper ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_Union__upper-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u15657, tc_HOL_Obool)), _u15658), _u15659)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15657, tc_HOL_Obool)), _u15658), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15657, tc_HOL_Obool), _u15659))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_Sup__le__iff ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_Sup__le__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15662) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15662), c_Complete__Lattice_OSup__class_OSup(_u15662, _u15663)), _u15664)) | ~hBOOL(hAPP(hAPP(c_member(_u15662), _u15660), _u15663)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15662), _u15660), _u15664)) )).
% 39.89/40.10 cnf(fact_Sup__le__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15662) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15662), c_Complete__Lattice_OSup__class_OSup(_u15662, _u15663)), _u15664)) | hBOOL(hAPP(hAPP(c_member(_u15662), skolem375(_u15664, _u15663, _u15662)), _u15663)) )).
% 39.89/40.10 cnf(fact_Sup__le__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15662) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15662), c_Complete__Lattice_OSup__class_OSup(_u15662, _u15663)), _u15664)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15662), skolem375(_u15664, _u15663, _u15662)), _u15664)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_Union__mono ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_Union__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u15665, tc_HOL_Obool), tc_HOL_Obool)), _u15666), _u15667)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15665, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15665, tc_HOL_Obool), _u15666)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15665, tc_HOL_Obool), _u15667))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_finite__UnionD ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_finite__UnionD-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15668), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15668, tc_HOL_Obool), _u15669))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u15668, tc_HOL_Obool)), _u15669)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_subset__Pow__Union ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_subset__Pow__Union-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u15670, tc_HOL_Obool), tc_HOL_Obool)), _u15671), hAPP(c_Set_OPow(_u15670), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15670, tc_HOL_Obool), _u15671)))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_Union__UNIV ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_Union__UNIV-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15672, tc_HOL_Obool), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u15672, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u15672, tc_HOL_Obool))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_Union__Un__distrib ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_Union__Un__distrib-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15673, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u15673, tc_HOL_Obool), tc_HOL_Obool)), _u15674), _u15675)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15673, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15673, tc_HOL_Obool), _u15674)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15673, tc_HOL_Obool), _u15675))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_Union__image__eq ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_Union__image__eq-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15676, tc_HOL_Obool), hAPP(c_Set_Oimage(_u15677, tc_fun(_u15676, tc_HOL_Obool), _u15678), _u15679)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15677, tc_fun(_u15676, tc_HOL_Obool)), _u15679), _u15678)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_UNION__eq__Union__image ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_UNION__eq__Union__image-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15680, tc_fun(_u15681, tc_HOL_Obool)), _u15682), _u15683) = c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15681, tc_HOL_Obool), hAPP(c_Set_Oimage(_u15680, tc_fun(_u15681, tc_HOL_Obool), _u15683), _u15682))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_Sup__upper ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_Sup__upper-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15684) | ~hBOOL(hAPP(hAPP(c_member(_u15684), _u15685), _u15686)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15684), _u15685), c_Complete__Lattice_OSup__class_OSup(_u15684, _u15686))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_Sup__empty ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_Sup__empty-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15687) | ( c_Complete__Lattice_OSup__class_OSup(_u15687, c_Orderings_Obot__class_Obot(tc_fun(_u15687, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(_u15687)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_Sup__singleton ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_Sup__singleton-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15688) | ( c_Complete__Lattice_OSup__class_OSup(_u15688, hAPP(hAPP(c_Set_Oinsert(_u15688), _u15689), c_Orderings_Obot__class_Obot(tc_fun(_u15688, tc_HOL_Obool)))) = _u15689) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_Sup__insert ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_Sup__insert-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15690) | ( c_Complete__Lattice_OSup__class_OSup(_u15690, hAPP(hAPP(c_Set_Oinsert(_u15690), _u15691), _u15692)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u15690), _u15691), c_Complete__Lattice_OSup__class_OSup(_u15690, _u15692))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_Sup__UNIV ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_Sup__UNIV-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15693) | ( c_Complete__Lattice_OSup__class_OSup(_u15693, c_Orderings_Otop__class_Otop(tc_fun(_u15693, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(_u15693)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_Un__eq__Union ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_Un__eq__Union-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15694, tc_HOL_Obool)), _u15695), _u15696) = c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15694, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u15694, tc_HOL_Obool)), _u15695), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u15694, tc_HOL_Obool)), _u15696), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u15694, tc_HOL_Obool), tc_HOL_Obool)))))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_Un__Union__image ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_Un__Union__image-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15697, tc_fun(_u15698, tc_HOL_Obool)), _u15699), hAPP(hAPP(c_COMBS(_u15697, tc_fun(_u15698, tc_HOL_Obool), tc_fun(_u15698, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15698, tc_HOL_Obool), tc_fun(tc_fun(_u15698, tc_HOL_Obool), tc_fun(_u15698, tc_HOL_Obool)), _u15697), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15698, tc_HOL_Obool))), _u15700)), _u15701)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15698, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15698, tc_HOL_Obool), hAPP(c_Set_Oimage(_u15697, tc_fun(_u15698, tc_HOL_Obool), _u15700), _u15699))), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15698, tc_HOL_Obool), hAPP(c_Set_Oimage(_u15697, tc_fun(_u15698, tc_HOL_Obool), _u15701), _u15699)))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_Union__Int__subset ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_Union__Int__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15702, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15702, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(_u15702, tc_HOL_Obool), tc_HOL_Obool)), _u15703), _u15704))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15702, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15702, tc_HOL_Obool), _u15703)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15702, tc_HOL_Obool), _u15704)))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_Sup__binary ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_Sup__binary-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15705) | ( c_Complete__Lattice_OSup__class_OSup(_u15705, hAPP(hAPP(c_Set_Oinsert(_u15705), _u15706), hAPP(hAPP(c_Set_Oinsert(_u15705), _u15707), c_Orderings_Obot__class_Obot(tc_fun(_u15705, tc_HOL_Obool))))) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u15705), _u15706), _u15707)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_Sup__fin__Sup ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_Sup__fin__Sup-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15708) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15708), _u15709)) | ( _u15709 = c_Orderings_Obot__class_Obot(tc_fun(_u15708, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u15708, _u15709) = c_Complete__Lattice_OSup__class_OSup(_u15708, _u15709)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_finite__Union ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_finite__Union-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u15711, tc_HOL_Obool)), _u15712)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u15711), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15711, tc_HOL_Obool), _u15712))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u15711, tc_HOL_Obool)), skolem376(_u15712, _u15711)), _u15712)) )).
% 39.89/40.10 cnf(fact_finite__Union-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u15711, tc_HOL_Obool)), _u15712)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u15711), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15711, tc_HOL_Obool), _u15712))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15711), skolem376(_u15712, _u15711))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_insert__partition ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_insert__partition-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u15715, tc_HOL_Obool)), _u15716), _u15717)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15715, tc_HOL_Obool)), _u15716), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15715, tc_HOL_Obool), _u15717)) = c_Orderings_Obot__class_Obot(tc_fun(_u15715, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u15715, tc_HOL_Obool)), skolem377(_u15717, _u15716, _u15715)), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u15715, tc_HOL_Obool)), _u15716), _u15717))) )).
% 39.89/40.10 cnf(fact_insert__partition-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u15715, tc_HOL_Obool)), _u15716), _u15717)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15715, tc_HOL_Obool)), _u15716), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15715, tc_HOL_Obool), _u15717)) = c_Orderings_Obot__class_Obot(tc_fun(_u15715, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u15715, tc_HOL_Obool)), skolem378(_u15717, _u15716, _u15715)), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u15715, tc_HOL_Obool)), _u15716), _u15717))) )).
% 39.89/40.10 cnf(fact_insert__partition-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u15715, tc_HOL_Obool)), _u15716), _u15717)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15715, tc_HOL_Obool)), _u15716), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15715, tc_HOL_Obool), _u15717)) = c_Orderings_Obot__class_Obot(tc_fun(_u15715, tc_HOL_Obool))) | ( skolem377(_u15717, _u15716, _u15715) != skolem378(_u15717, _u15716, _u15715)) )).
% 39.89/40.10 cnf(fact_insert__partition-4, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u15715, tc_HOL_Obool)), _u15716), _u15717)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15715, tc_HOL_Obool)), _u15716), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15715, tc_HOL_Obool), _u15717)) = c_Orderings_Obot__class_Obot(tc_fun(_u15715, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15715, tc_HOL_Obool)), skolem377(_u15717, _u15716, _u15715)), skolem378(_u15717, _u15716, _u15715)) != c_Orderings_Obot__class_Obot(tc_fun(_u15715, tc_HOL_Obool))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_listsum__setsum__nth ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_listsum__setsum__nth-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u15718) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15718), _u15719) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u15718), hAPP(c_List_Onth(_u15718), _u15719)), 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(_u15718)), _u15719)))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_list__size__pointwise ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_list__size__pointwise-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_List_Olist_Olist__size(_u15721, _u15723, _u15722)), c_List_Olist_Olist__size(_u15721, _u15724, _u15722))) | hBOOL(hAPP(hAPP(c_member(_u15721), skolem379(_u15724, _u15723, _u15722, _u15721)), hAPP(c_List_Oset(_u15721), _u15722))) )).
% 39.89/40.10 cnf(fact_list__size__pointwise-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_List_Olist_Olist__size(_u15721, _u15723, _u15722)), c_List_Olist_Olist__size(_u15721, _u15724, _u15722))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u15723, skolem379(_u15724, _u15723, _u15722, _u15721))), hAPP(_u15724, skolem379(_u15724, _u15723, _u15722, _u15721)))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_listsum__eq__0__nat__iff__nat ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_listsum__eq__0__nat__iff__nat-1, axiom, ( ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u15728) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u15725), hAPP(c_List_Oset(tc_Nat_Onat), _u15728))) | ( _u15725 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.10 cnf(fact_listsum__eq__0__nat__iff__nat-2, axiom, ( ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u15729) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem380(_u15729)), hAPP(c_List_Oset(tc_Nat_Onat), _u15729))) )).
% 39.89/40.10 cnf(fact_listsum__eq__0__nat__iff__nat-3, axiom, ( ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u15729) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( skolem380(_u15729) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_elem__le__listsum__nat ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_elem__le__listsum__nat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15730), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)), _u15731))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_List_Onth(tc_Nat_Onat), _u15731), _u15730)), hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u15731))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_listsum__simps_I2_J ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_listsum__simps_I2_J-1, axiom, ( ~class_Groups_Omonoid__add(_u15732) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15732), hAPP(hAPP(c_List_Olist_OCons(_u15732), _u15733), _u15734)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u15732), _u15733), hAPP(c_List_Omonoid__add__class_Olistsum(_u15732), _u15734))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_listsum__0 ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_listsum__0-1, axiom, ( ~class_Groups_Omonoid__add(_u15735) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15735), hAPP(hAPP(c_List_Omap(_u15736, _u15735), hAPP(c_COMBK(_u15735, _u15736), c_Groups_Ozero__class_Ozero(_u15735))), _u15737)) = c_Groups_Ozero__class_Ozero(_u15735)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_listsum__addf ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_listsum__addf-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u15738) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15738), hAPP(hAPP(c_List_Omap(_u15739, _u15738), hAPP(hAPP(c_COMBS(_u15739, _u15738, _u15738), hAPP(hAPP(c_COMBB(_u15738, tc_fun(_u15738, _u15738), _u15739), c_Groups_Oplus__class_Oplus(_u15738)), _u15740)), _u15741)), _u15742)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u15738), hAPP(c_List_Omonoid__add__class_Olistsum(_u15738), hAPP(hAPP(c_List_Omap(_u15739, _u15738), _u15740), _u15742))), hAPP(c_List_Omonoid__add__class_Olistsum(_u15738), hAPP(hAPP(c_List_Omap(_u15739, _u15738), _u15741), _u15742)))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_listsum__const__mult ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_listsum__const__mult-1, axiom, ( ~class_Rings_Osemiring__0(_u15743) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15743), hAPP(hAPP(c_List_Omap(_u15744, _u15743), hAPP(hAPP(c_COMBB(_u15743, _u15743, _u15744), hAPP(c_Groups_Otimes__class_Otimes(_u15743), _u15745)), _u15746)), _u15747)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u15743), _u15745), hAPP(c_List_Omonoid__add__class_Olistsum(_u15743), hAPP(hAPP(c_List_Omap(_u15744, _u15743), _u15746), _u15747)))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_listsum__mult__const ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_listsum__mult__const-1, axiom, ( ~class_Rings_Osemiring__0(_u15748) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15748), hAPP(hAPP(c_List_Omap(_u15749, _u15748), hAPP(hAPP(c_COMBC(_u15749, _u15748, _u15748), hAPP(hAPP(c_COMBB(_u15748, tc_fun(_u15748, _u15748), _u15749), c_Groups_Otimes__class_Otimes(_u15748)), _u15750)), _u15751)), _u15752)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u15748), hAPP(c_List_Omonoid__add__class_Olistsum(_u15748), hAPP(hAPP(c_List_Omap(_u15749, _u15748), _u15750), _u15752))), _u15751)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_listsum__subtractf ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_listsum__subtractf-1, axiom, ( ~class_Groups_Oab__group__add(_u15753) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15753), hAPP(hAPP(c_List_Omap(_u15754, _u15753), hAPP(hAPP(c_COMBS(_u15754, _u15753, _u15753), hAPP(hAPP(c_COMBB(_u15753, tc_fun(_u15753, _u15753), _u15754), c_Groups_Ominus__class_Ominus(_u15753)), _u15755)), _u15756)), _u15757)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u15753), hAPP(c_List_Omonoid__add__class_Olistsum(_u15753), hAPP(hAPP(c_List_Omap(_u15754, _u15753), _u15755), _u15757))), hAPP(c_List_Omonoid__add__class_Olistsum(_u15753), hAPP(hAPP(c_List_Omap(_u15754, _u15753), _u15756), _u15757)))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_listsum__update__nat ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_listsum__update__nat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15758), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)), _u15759))) | ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), hAPP(hAPP(c_List_Olist__update(tc_Nat_Onat, _u15759), _u15758), _u15760)) = 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), _u15759)), _u15760)), hAPP(hAPP(c_List_Onth(tc_Nat_Onat), _u15759), _u15758))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_listsum__abs ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_listsum__abs-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u15761) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15761), hAPP(c_Groups_Oabs__class_Oabs(_u15761), hAPP(c_List_Omonoid__add__class_Olistsum(_u15761), _u15762))), hAPP(c_List_Omonoid__add__class_Olistsum(_u15761), hAPP(hAPP(c_List_Omap(_u15761, _u15761), c_Groups_Oabs__class_Oabs(_u15761)), _u15762)))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_uminus__listsum__map ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_uminus__listsum__map-1, axiom, ( ~class_Groups_Oab__group__add(_u15763) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u15763), hAPP(c_List_Omonoid__add__class_Olistsum(_u15763), hAPP(hAPP(c_List_Omap(_u15764, _u15763), _u15765), _u15766))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u15763), hAPP(hAPP(c_List_Omap(_u15764, _u15763), hAPP(c_Fun_Ocomp(_u15763, _u15763, _u15764, c_Groups_Ouminus__class_Ouminus(_u15763)), _u15765)), _u15766))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_list__size__conv__listsum ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_list__size__conv__listsum-1, axiom, ( ( c_List_Olist_Olist__size(_u15767, _u15768, _u15769) = 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(_u15767, tc_Nat_Onat), _u15768), _u15769))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15767)), _u15769))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_distinct__listsum__conv__Setsum ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_distinct__listsum__conv__Setsum-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u15770) | ~hBOOL(hAPP(c_List_Odistinct(_u15770), _u15771)) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15770), _u15771) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u15770, _u15770), c_COMBI(_u15770)), hAPP(c_List_Oset(_u15770), _u15771))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_listsum__distinct__conv__setsum__set ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_listsum__distinct__conv__setsum__set-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u15772) | ~hBOOL(hAPP(c_List_Odistinct(_u15773), _u15774)) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15772), hAPP(hAPP(c_List_Omap(_u15773, _u15772), _u15775), _u15774)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u15773, _u15772), _u15775), hAPP(c_List_Oset(_u15773), _u15774))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_setsum__set__upto__conv__listsum__int ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_setsum__set__upto__conv__listsum__int-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u15776) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u15776), _u15777), hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u15778, _u15779))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u15776), hAPP(hAPP(c_List_Omap(tc_Int_Oint, _u15776), _u15777), c_List_Oupto(_u15778, _u15779)))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_interv__listsum__conv__setsum__set__int ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_interv__listsum__conv__setsum__set__int-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u15780) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15780), hAPP(hAPP(c_List_Omap(tc_Int_Oint, _u15780), _u15781), c_List_Oupto(_u15782, _u15783))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u15780), _u15781), hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u15782, _u15783)))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_listsum__triv ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_listsum__triv-1, axiom, ( ~class_Rings_Osemiring__1(_u15784) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15784), hAPP(hAPP(c_List_Omap(_u15785, _u15784), hAPP(c_COMBK(_u15784, _u15785), _u15786)), _u15787)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u15784), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u15784), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15785)), _u15787))), _u15786)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_Nitpick_Osetsum_H__def ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_Nitpick_Osetsum_H__def-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u15788) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15789), _u15790)) | ( c_Nitpick_Osetsum_H(_u15789, _u15788, _u15791, _u15790) = hAPP(c_List_Omonoid__add__class_Olistsum(_u15788), hAPP(hAPP(c_List_Omap(_u15789, _u15788), _u15791), c_Hilbert__Choice_OEps(tc_List_Olist(_u15789), hAPP(hAPP(c_COMBS(tc_List_Olist(_u15789), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u15789)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15789), tc_fun(_u15789, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u15789, tc_HOL_Obool), tc_fun(tc_fun(_u15789, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u15789)), c_fequal), c_List_Oset(_u15789))), _u15790))), c_List_Odistinct(_u15789)))))) )).
% 39.89/40.10 cnf(fact_Nitpick_Osetsum_H__def-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u15788) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u15789), _u15790)) | ( c_Nitpick_Osetsum_H(_u15789, _u15788, _u15791, _u15790) = c_Groups_Ozero__class_Ozero(_u15788)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_listsum__mono ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_listsum__mono-1, axiom, ( ~class_Groups_Omonoid__add(_u15793) | ~class_Groups_Oordered__ab__semigroup__add(_u15793) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15793), hAPP(c_List_Omonoid__add__class_Olistsum(_u15793), hAPP(hAPP(c_List_Omap(_u15794, _u15793), _u15796), _u15795))), hAPP(c_List_Omonoid__add__class_Olistsum(_u15793), hAPP(hAPP(c_List_Omap(_u15794, _u15793), _u15797), _u15795)))) | hBOOL(hAPP(hAPP(c_member(_u15794), skolem381(_u15797, _u15796, _u15795, _u15794, _u15793)), hAPP(c_List_Oset(_u15794), _u15795))) )).
% 39.89/40.10 cnf(fact_listsum__mono-2, axiom, ( ~class_Groups_Omonoid__add(_u15793) | ~class_Groups_Oordered__ab__semigroup__add(_u15793) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15793), hAPP(c_List_Omonoid__add__class_Olistsum(_u15793), hAPP(hAPP(c_List_Omap(_u15794, _u15793), _u15796), _u15795))), hAPP(c_List_Omonoid__add__class_Olistsum(_u15793), hAPP(hAPP(c_List_Omap(_u15794, _u15793), _u15797), _u15795)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15793), hAPP(_u15796, skolem381(_u15797, _u15796, _u15795, _u15794, _u15793))), hAPP(_u15797, skolem381(_u15797, _u15796, _u15795, _u15794, _u15793)))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_someI ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_someI-1, axiom, ( ~hBOOL(hAPP(_u15798, _u15799)) | hBOOL(hAPP(_u15798, c_Hilbert__Choice_OEps(_u15800, _u15798))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_tfl__some ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_tfl__some-1, axiom, ( ~hBOOL(hAPP(_u15802, _u15801)) | hBOOL(hAPP(_u15802, c_Hilbert__Choice_OEps(_u15803, _u15802))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_some__sym__eq__trivial ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_some__sym__eq__trivial-1, axiom, ( ( c_Hilbert__Choice_OEps(_u15804, hAPP(c_fequal, _u15805)) = _u15805) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_some__eq__trivial ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_some__eq__trivial-1, axiom, ( ( c_Hilbert__Choice_OEps(_u15806, hAPP(hAPP(c_COMBC(_u15806, _u15806, tc_HOL_Obool), c_fequal), _u15807)) = _u15807) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_some__eq__ex ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_some__eq__ex-1, axiom, ( ~hBOOL(hAPP(_u15812, c_Hilbert__Choice_OEps(_u15814, _u15812))) | hBOOL(hAPP(_u15812, skolem382(_u15814, _u15812))) )).
% 39.89/40.10 cnf(fact_some__eq__ex-2, axiom, ( ~hBOOL(hAPP(_u15813, _u15809)) | hBOOL(hAPP(_u15813, c_Hilbert__Choice_OEps(_u15815, _u15813))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_someI__ex ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_someI__ex-1, axiom, ( ~hBOOL(hAPP(_u15817, _u15816)) | hBOOL(hAPP(_u15817, c_Hilbert__Choice_OEps(_u15818, _u15817))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_exE__some ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_exE__some-1, axiom, ( ~hBOOL(hAPP(_u15820, _u15819)) | ( _u15821 != c_Hilbert__Choice_OEps(_u15822, _u15820)) | hBOOL(hAPP(_u15820, _u15821)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_Nitpick_Ocard_H__def ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_Nitpick_Ocard_H__def-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15825), _u15827)) | ( c_Nitpick_Ocard_H(_u15825, _u15827) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15825)), c_Hilbert__Choice_OEps(tc_List_Olist(_u15825), hAPP(hAPP(c_COMBS(tc_List_Olist(_u15825), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u15825)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15825), tc_fun(_u15825, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u15825, tc_HOL_Obool), tc_fun(tc_fun(_u15825, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u15825)), c_fequal), c_List_Oset(_u15825))), _u15827))), c_List_Odistinct(_u15825))))) )).
% 39.89/40.10 cnf(fact_Nitpick_Ocard_H__def-2, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u15826), _u15828)) | ( c_Nitpick_Ocard_H(_u15826, _u15828) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_butlast__take ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_butlast__take-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15829), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15830)), _u15831))) | ( c_List_Obutlast(_u15830, hAPP(hAPP(c_List_Otake(_u15830), _u15829), _u15831)) = hAPP(hAPP(c_List_Otake(_u15830), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u15829), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u15831)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_map__butlast ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_map__butlast-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u15832, _u15833), _u15834), c_List_Obutlast(_u15832, _u15835)) = c_List_Obutlast(_u15833, hAPP(hAPP(c_List_Omap(_u15832, _u15833), _u15834), _u15835))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_in__set__butlastD ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_in__set__butlastD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15836), _u15837), hAPP(c_List_Oset(_u15836), c_List_Obutlast(_u15836, _u15838)))) | hBOOL(hAPP(hAPP(c_member(_u15836), _u15837), hAPP(c_List_Oset(_u15836), _u15838))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_Eps__split__eq ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_Eps__split__eq-1, axiom, ( ( c_Hilbert__Choice_OEps(tc_prod(_u15839, _u15840), hAPP(c_Product__Type_Oprod_Oprod__case(_u15839, _u15840, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u15839, tc_fun(_u15840, tc_HOL_Obool), tc_fun(_u15840, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u15840, tc_HOL_Obool), tc_fun(_u15840, tc_HOL_Obool)), _u15839), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u15840)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u15839), c_fconj), hAPP(c_fequal, _u15841)))), hAPP(c_fequal, _u15842)))) = hAPP(hAPP(c_Product__Type_OPair(_u15839, _u15840), _u15841), _u15842)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_split__paired__Eps ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_split__paired__Eps-1, axiom, ( ( c_Hilbert__Choice_OEps(tc_prod(_u15843, _u15844), _u15845) = c_Hilbert__Choice_OEps(tc_prod(_u15843, _u15844), hAPP(c_Product__Type_Oprod_Oprod__case(_u15843, _u15844, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u15844, tc_prod(_u15843, _u15844)), tc_fun(_u15844, tc_HOL_Obool), _u15843), hAPP(c_COMBB(tc_prod(_u15843, _u15844), tc_HOL_Obool, _u15844), _u15845)), c_Product__Type_OPair(_u15843, _u15844))))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_take__butlast ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_take__butlast-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15846), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15847)), _u15848))) | ( hAPP(hAPP(c_List_Otake(_u15847), _u15846), c_List_Obutlast(_u15847, _u15848)) = hAPP(hAPP(c_List_Otake(_u15847), _u15846), _u15848)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_length__butlast ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_length__butlast-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15849)), c_List_Obutlast(_u15849, _u15850)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15849)), _u15850)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_Eps__split ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_Eps__split-1, axiom, ( ( c_Hilbert__Choice_OEps(tc_prod(_u15851, _u15852), hAPP(c_Product__Type_Oprod_Oprod__case(_u15851, _u15852, tc_HOL_Obool), _u15853)) = c_Hilbert__Choice_OEps(tc_prod(_u15851, _u15852), hAPP(hAPP(c_COMBS(tc_prod(_u15851, _u15852), _u15852, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u15851, tc_fun(_u15852, tc_HOL_Obool), tc_prod(_u15851, _u15852)), _u15853), c_Product__Type_Ofst(_u15851, _u15852))), c_Product__Type_Osnd(_u15851, _u15852)))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_butlast__conv__take ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_butlast__conv__take-1, axiom, ( ( c_List_Obutlast(_u15854, _u15855) = hAPP(hAPP(c_List_Otake(_u15854), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15854)), _u15855)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u15855)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_butlast__list__update ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_butlast__list__update-1, axiom, ( ( _u15860 != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15862)), _u15864)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Obutlast(_u15862, hAPP(hAPP(c_List_Olist__update(_u15862, _u15864), _u15860), _u15866)) = c_List_Obutlast(_u15862, _u15864)) )).
% 39.89/40.10 cnf(fact_butlast__list__update-2, axiom, ( ( _u15861 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15863)), _u15865)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Obutlast(_u15863, hAPP(hAPP(c_List_Olist__update(_u15863, _u15865), _u15861), _u15867)) = hAPP(hAPP(c_List_Olist__update(_u15863, c_List_Obutlast(_u15863, _u15865)), _u15861), _u15867)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_nth__take__lemma ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_nth__take__lemma-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15869), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15870)), _u15871))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15869), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15870)), _u15872))) | ( hAPP(hAPP(c_List_Otake(_u15870), _u15869), _u15871) = hAPP(hAPP(c_List_Otake(_u15870), _u15869), _u15872)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem383(_u15872, _u15871, _u15870, _u15869)), _u15869)) )).
% 39.89/40.10 cnf(fact_nth__take__lemma-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15869), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15870)), _u15871))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15869), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15870)), _u15872))) | ( hAPP(hAPP(c_List_Otake(_u15870), _u15869), _u15871) = hAPP(hAPP(c_List_Otake(_u15870), _u15869), _u15872)) | ( hAPP(hAPP(c_List_Onth(_u15870), _u15871), skolem383(_u15872, _u15871, _u15870, _u15869)) != hAPP(hAPP(c_List_Onth(_u15870), _u15872), skolem383(_u15872, _u15871, _u15870, _u15869))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_length__transpose ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_length__transpose-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u15873))), c_List_Otranspose(_u15873, _u15874)) = c_List_Ofoldr(tc_List_Olist(_u15873), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u15873)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u15873))), _u15874, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_transpose__map__map ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_transpose__map__map-1, axiom, ( ( c_List_Otranspose(_u15875, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u15876), tc_List_Olist(_u15875)), hAPP(c_List_Omap(_u15876, _u15875), _u15877)), _u15878)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u15876), tc_List_Olist(_u15875)), hAPP(c_List_Omap(_u15876, _u15875), _u15877)), c_List_Otranspose(_u15876, _u15878))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_nth__transpose ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_nth__transpose-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15879), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u15880))), c_List_Otranspose(_u15880, _u15881)))) | ( hAPP(hAPP(c_List_Onth(tc_List_Olist(_u15880)), c_List_Otranspose(_u15880, _u15881)), _u15879) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u15880), _u15880), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15880), tc_Nat_Onat, _u15880), c_List_Onth(_u15880)), _u15879)), hAPP(c_List_Ofilter(tc_List_Olist(_u15880), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u15880)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15879)), c_Nat_Osize__class_Osize(tc_List_Olist(_u15880)))), _u15881))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_listsum__map__remove1 ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_listsum__map__remove1-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u15882) | ~hBOOL(hAPP(hAPP(c_member(_u15883), _u15884), hAPP(c_List_Oset(_u15883), _u15885))) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15882), hAPP(hAPP(c_List_Omap(_u15883, _u15882), _u15886), _u15885)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u15882), hAPP(_u15886, _u15884)), hAPP(c_List_Omonoid__add__class_Olistsum(_u15882), hAPP(hAPP(c_List_Omap(_u15883, _u15882), _u15886), c_List_Oremove1(_u15883, _u15884, _u15885))))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_filter__map ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_filter__map-1, axiom, ( ( hAPP(c_List_Ofilter(_u15887, _u15888), hAPP(hAPP(c_List_Omap(_u15889, _u15887), _u15890), _u15891)) = hAPP(hAPP(c_List_Omap(_u15889, _u15887), _u15890), hAPP(c_List_Ofilter(_u15889, hAPP(c_Fun_Ocomp(_u15887, tc_HOL_Obool, _u15889, _u15888), _u15890)), _u15891))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_filter__is__subset ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_filter__is__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15892, tc_HOL_Obool)), hAPP(c_List_Oset(_u15892), hAPP(c_List_Ofilter(_u15892, _u15893), _u15894))), hAPP(c_List_Oset(_u15892), _u15894))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_length__filter__le ( axiom ) converted to clauses:
% 39.89/40.10 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(_u15895)), hAPP(c_List_Ofilter(_u15895, _u15896), _u15897))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15895)), _u15897))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_filter__id__conv ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_filter__id__conv-1, axiom, ( ( hAPP(c_List_Ofilter(_u15903, _u15905), _u15907) != _u15907) | ~hBOOL(hAPP(hAPP(c_member(_u15903), _u15898), hAPP(c_List_Oset(_u15903), _u15907))) | hBOOL(hAPP(_u15905, _u15898)) )).
% 39.89/40.10 cnf(fact_filter__id__conv-2, axiom, ( ( hAPP(c_List_Ofilter(_u15904, _u15906), _u15908) = _u15908) | hBOOL(hAPP(hAPP(c_member(_u15904), skolem384(_u15908, _u15906, _u15904)), hAPP(c_List_Oset(_u15904), _u15908))) )).
% 39.89/40.10 cnf(fact_filter__id__conv-3, axiom, ( ( hAPP(c_List_Ofilter(_u15904, _u15906), _u15908) = _u15908) | ~hBOOL(hAPP(_u15906, skolem384(_u15908, _u15906, _u15904))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_sum__length__filter__compl ( axiom ) converted to clauses:
% 39.89/40.10 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(_u15909)), hAPP(c_List_Ofilter(_u15909, _u15910), _u15911))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15909)), hAPP(c_List_Ofilter(_u15909, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u15909), c_fNot), _u15910)), _u15911))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15909)), _u15911)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_remove1_Osimps_I2_J ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_remove1_Osimps_I2_J-1, axiom, ( ( _u15916 != _u15918) | ( c_List_Oremove1(_u15920, _u15916, hAPP(hAPP(c_List_Olist_OCons(_u15920), _u15918), _u15922)) = _u15922) )).
% 39.89/40.10 cnf(fact_remove1_Osimps_I2_J-2, axiom, ( ( _u15917 = _u15919) | ( c_List_Oremove1(_u15921, _u15917, hAPP(hAPP(c_List_Olist_OCons(_u15921), _u15919), _u15923)) = hAPP(hAPP(c_List_Olist_OCons(_u15921), _u15919), c_List_Oremove1(_u15921, _u15917, _u15923))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_filter_Osimps_I2_J ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_filter_Osimps_I2_J-1, axiom, ( ~hBOOL(hAPP(_u15928, _u15930)) | ( hAPP(c_List_Ofilter(_u15932, _u15928), hAPP(hAPP(c_List_Olist_OCons(_u15932), _u15930), _u15934)) = hAPP(hAPP(c_List_Olist_OCons(_u15932), _u15930), hAPP(c_List_Ofilter(_u15932, _u15928), _u15934))) )).
% 39.89/40.10 cnf(fact_filter_Osimps_I2_J-2, axiom, ( hBOOL(hAPP(_u15929, _u15931)) | ( hAPP(c_List_Ofilter(_u15933, _u15929), hAPP(hAPP(c_List_Olist_OCons(_u15933), _u15931), _u15935)) = hAPP(c_List_Ofilter(_u15933, _u15929), _u15935)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_filter__filter ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_filter__filter-1, axiom, ( ( hAPP(c_List_Ofilter(_u15936, _u15937), hAPP(c_List_Ofilter(_u15936, _u15938), _u15939)) = hAPP(c_List_Ofilter(_u15936, hAPP(hAPP(c_COMBS(_u15936, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u15936), c_fconj), _u15938)), _u15937)), _u15939)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_filter__remove1 ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_filter__remove1-1, axiom, ( ( hAPP(c_List_Ofilter(_u15940, _u15941), c_List_Oremove1(_u15940, _u15942, _u15943)) = c_List_Oremove1(_u15940, _u15942, hAPP(c_List_Ofilter(_u15940, _u15941), _u15943))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_remove1__commute ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_remove1__commute-1, axiom, ( ( c_List_Oremove1(_u15944, _u15945, c_List_Oremove1(_u15944, _u15946, _u15947)) = c_List_Oremove1(_u15944, _u15946, c_List_Oremove1(_u15944, _u15945, _u15947))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_remove1__filter__not ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_remove1__filter__not-1, axiom, ( hBOOL(hAPP(_u15948, _u15949)) | ( c_List_Oremove1(_u15950, _u15949, hAPP(c_List_Ofilter(_u15950, _u15948), _u15951)) = hAPP(c_List_Ofilter(_u15950, _u15948), _u15951)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_distinct__remove1 ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_distinct__remove1-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u15952), _u15953)) | hBOOL(hAPP(c_List_Odistinct(_u15952), c_List_Oremove1(_u15952, _u15954, _u15953))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_distinct__filter ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_distinct__filter-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u15955), _u15956)) | hBOOL(hAPP(c_List_Odistinct(_u15955), hAPP(c_List_Ofilter(_u15955, _u15957), _u15956))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_remove1__idem ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_remove1__idem-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u15958), _u15959), hAPP(c_List_Oset(_u15958), _u15960))) | ( c_List_Oremove1(_u15958, _u15959, _u15960) = _u15960) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_notin__set__remove1 ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_notin__set__remove1-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u15961), _u15962), hAPP(c_List_Oset(_u15961), _u15963))) | ~hBOOL(hAPP(hAPP(c_member(_u15961), _u15962), hAPP(c_List_Oset(_u15961), c_List_Oremove1(_u15961, _u15964, _u15963)))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_in__set__remove1 ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_in__set__remove1-1, axiom, ( ( _u15965 = _u15966) | ~hBOOL(hAPP(hAPP(c_member(_u15967), _u15965), hAPP(c_List_Oset(_u15967), c_List_Oremove1(_u15967, _u15966, _u15968)))) | hBOOL(hAPP(hAPP(c_member(_u15967), _u15965), hAPP(c_List_Oset(_u15967), _u15968))) )).
% 39.89/40.10 cnf(fact_in__set__remove1-2, axiom, ( ( _u15965 = _u15966) | ~hBOOL(hAPP(hAPP(c_member(_u15967), _u15965), hAPP(c_List_Oset(_u15967), _u15968))) | hBOOL(hAPP(hAPP(c_member(_u15967), _u15965), hAPP(c_List_Oset(_u15967), c_List_Oremove1(_u15967, _u15966, _u15968)))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_set__remove1__subset ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_set__remove1__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15969, tc_HOL_Obool)), hAPP(c_List_Oset(_u15969), c_List_Oremove1(_u15969, _u15970, _u15971))), hAPP(c_List_Oset(_u15969), _u15971))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_set__filter ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_set__filter-1, axiom, ( ( hAPP(c_List_Oset(_u15972), hAPP(c_List_Ofilter(_u15972, _u15973), _u15974)) = hAPP(c_Set_OCollect(_u15972), hAPP(hAPP(c_COMBS(_u15972, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u15972), c_fconj), hAPP(hAPP(c_COMBC(_u15972, tc_fun(_u15972, tc_HOL_Obool), tc_HOL_Obool), c_member(_u15972)), hAPP(c_List_Oset(_u15972), _u15974)))), _u15973))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_length__filter__map ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_length__filter__map-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15975)), hAPP(c_List_Ofilter(_u15975, _u15976), hAPP(hAPP(c_List_Omap(_u15977, _u15975), _u15978), _u15979))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15977)), hAPP(c_List_Ofilter(_u15977, hAPP(c_Fun_Ocomp(_u15975, tc_HOL_Obool, _u15977, _u15976), _u15978)), _u15979))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_length__filter__less ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_length__filter__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15980), _u15981), hAPP(c_List_Oset(_u15980), _u15982))) | hBOOL(hAPP(_u15983, _u15981)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15980)), hAPP(c_List_Ofilter(_u15980, _u15983), _u15982))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15980)), _u15982))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_set__minus__filter__out ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_set__minus__filter__out-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u15984, tc_HOL_Obool)), hAPP(c_List_Oset(_u15984), _u15985)), hAPP(hAPP(c_Set_Oinsert(_u15984), _u15986), c_Orderings_Obot__class_Obot(tc_fun(_u15984, tc_HOL_Obool)))) = hAPP(c_List_Oset(_u15984), hAPP(c_List_Ofilter(_u15984, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u15984), c_fNot), hAPP(hAPP(c_COMBC(_u15984, _u15984, tc_HOL_Obool), c_fequal), _u15986))), _u15985))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_filter__in__sublist ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_filter__in__sublist-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u15987), _u15988)) | ( hAPP(c_List_Ofilter(_u15987, hAPP(hAPP(c_COMBC(_u15987, tc_fun(_u15987, tc_HOL_Obool), tc_HOL_Obool), c_member(_u15987)), hAPP(c_List_Oset(_u15987), c_List_Osublist(_u15987, _u15988, _u15989)))), _u15988) = c_List_Osublist(_u15987, _u15988, _u15989)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_length__filter__conv__card ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_length__filter__conv__card-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15990)), hAPP(c_List_Ofilter(_u15990, _u15991), _u15992)) = 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(_u15990)), _u15992)))), hAPP(hAPP(c_COMBB(_u15990, tc_HOL_Obool, tc_Nat_Onat), _u15991), hAPP(c_List_Onth(_u15990), _u15992)))))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_length__remove1 ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_length__remove1-1, 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(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15996)), _u16000)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 39.89/40.10 cnf(fact_length__remove1-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u15997), _u15999), hAPP(c_List_Oset(_u15997), _u16001))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15997)), c_List_Oremove1(_u15997, _u15999, _u16001)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15997)), _u16001)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_set__remove1__eq ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_set__remove1__eq-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16002), _u16003)) | ( hAPP(c_List_Oset(_u16002), c_List_Oremove1(_u16002, _u16004, _u16003)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16002, tc_HOL_Obool)), hAPP(c_List_Oset(_u16002), _u16003)), hAPP(hAPP(c_Set_Oinsert(_u16002), _u16004), c_Orderings_Obot__class_Obot(tc_fun(_u16002, tc_HOL_Obool))))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_map__filter__def ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_map__filter__def-1, axiom, ( ( c_List_Omap__filter(_u16005, _u16006, _u16007, _u16008) = hAPP(hAPP(c_List_Omap(_u16005, _u16006), hAPP(c_Fun_Ocomp(tc_Option_Ooption(_u16006), _u16006, _u16005, c_Option_Othe(_u16006)), _u16007)), hAPP(c_List_Ofilter(_u16005, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u16005), c_fNot), hAPP(hAPP(c_COMBC(_u16005, tc_Option_Ooption(_u16006), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Option_Ooption(_u16006), tc_fun(tc_Option_Ooption(_u16006), tc_HOL_Obool), _u16005), c_fequal), _u16007)), c_Option_Ooption_ONone(_u16006)))), _u16008))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_map__filter__map__filter ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_map__filter__map__filter-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u16009, _u16010), _u16011), hAPP(c_List_Ofilter(_u16009, _u16012), _u16013)) = c_List_Omap__filter(_u16009, _u16010, hAPP(hAPP(c_COMBC(_u16009, tc_Option_Ooption(_u16010), tc_Option_Ooption(_u16010)), hAPP(hAPP(c_COMBS(_u16009, tc_Option_Ooption(_u16010), tc_fun(tc_Option_Ooption(_u16010), tc_Option_Ooption(_u16010))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_Option_Ooption(_u16010), tc_fun(tc_Option_Ooption(_u16010), tc_Option_Ooption(_u16010))), _u16009), c_If(tc_Option_Ooption(_u16010))), _u16012)), hAPP(hAPP(c_COMBB(_u16010, tc_Option_Ooption(_u16010), _u16009), c_Option_Ooption_OSome(_u16010)), _u16011))), c_Option_Ooption_ONone(_u16010)), _u16013)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_map__of__filter__in ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_map__of__filter__in-1, axiom, ( ( hAPP(hAPP(c_Map_Omap__of(_u16014, _u16015), _u16016), _u16017) != hAPP(c_Option_Ooption_OSome(_u16015), _u16018)) | ~hBOOL(hAPP(hAPP(_u16019, _u16017), _u16018)) | ( hAPP(hAPP(c_Map_Omap__of(_u16014, _u16015), hAPP(c_List_Ofilter(tc_prod(_u16014, _u16015), hAPP(c_Product__Type_Oprod_Oprod__case(_u16014, _u16015, tc_HOL_Obool), _u16019)), _u16016)), _u16017) = hAPP(c_Option_Ooption_OSome(_u16015), _u16018)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_map__filter__simps_I1_J ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_map__filter__simps_I1_J-1, axiom, ( ( c_List_Omap__filter(_u16020, _u16021, _u16022, hAPP(hAPP(c_List_Olist_OCons(_u16020), _u16023), _u16024)) = hAPP(c_Option_Ooption_Ooption__case(tc_List_Olist(_u16021), _u16021, c_List_Omap__filter(_u16020, _u16021, _u16022, _u16024), hAPP(hAPP(c_COMBC(_u16021, tc_List_Olist(_u16021), tc_List_Olist(_u16021)), c_List_Olist_OCons(_u16021)), c_List_Omap__filter(_u16020, _u16021, _u16022, _u16024))), hAPP(_u16022, _u16023))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_sublist__shift__lemma__Suc ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_sublist__shift__lemma__Suc-1, axiom, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u16025, tc_Nat_Onat), _u16025), c_Product__Type_Ofst(_u16025, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u16025, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_prod(_u16025, tc_Nat_Onat)), _u16026), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Nat_Onat, tc_prod(_u16025, tc_Nat_Onat)), c_Nat_OSuc), c_Product__Type_Osnd(_u16025, tc_Nat_Onat)))), hAPP(hAPP(c_List_Ozip(_u16025, tc_Nat_Onat), _u16027), _u16028))) = hAPP(hAPP(c_List_Omap(tc_prod(_u16025, tc_Nat_Onat), _u16025), c_Product__Type_Ofst(_u16025, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u16025, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_prod(_u16025, tc_Nat_Onat)), _u16026), c_Product__Type_Osnd(_u16025, tc_Nat_Onat))), hAPP(hAPP(c_List_Ozip(_u16025, tc_Nat_Onat), _u16027), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_Nat_Onat), c_Nat_OSuc), _u16028))))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_sorted__list__of__set__remove ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_sorted__list__of__set__remove-1, axiom, ( ~class_Orderings_Olinorder(_u16029) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16029), _u16030)) | ( c_List_Olinorder__class_Osorted__list__of__set(_u16029, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16029, tc_HOL_Obool)), _u16030), hAPP(hAPP(c_Set_Oinsert(_u16029), _u16031), c_Orderings_Obot__class_Obot(tc_fun(_u16029, tc_HOL_Obool))))) = c_List_Oremove1(_u16029, _u16031, c_List_Olinorder__class_Osorted__list__of__set(_u16029, _u16030))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_transpose__max__length ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_transpose__max__length-1, axiom, ( ( c_List_Ofoldr(tc_List_Olist(_u16032), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u16032)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u16032))), c_List_Otranspose(_u16032, _u16033), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u16032))), hAPP(c_List_Ofilter(tc_List_Olist(_u16032), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u16032)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u16032), tc_List_Olist(_u16032), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u16032)))), _u16033))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_lists_ONil ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_lists_ONil-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16034)), c_List_Olist_ONil(_u16034)), c_List_Olists(_u16034, _u16035))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_listrel__Nil1 ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_listrel__Nil1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16036), tc_List_Olist(_u16036))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16036), tc_List_Olist(_u16036)), c_List_Olist_ONil(_u16036)), _u16037)), c_List_Olistrel(_u16036, _u16038))) | ( _u16037 = c_List_Olist_ONil(_u16036)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_listrel__Nil2 ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_listrel__Nil2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16039), tc_List_Olist(_u16039))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16039), tc_List_Olist(_u16039)), _u16040), c_List_Olist_ONil(_u16039))), c_List_Olistrel(_u16039, _u16041))) | ( _u16040 = c_List_Olist_ONil(_u16039)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_filter__empty__conv ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_filter__empty__conv-1, axiom, ( ( hAPP(c_List_Ofilter(_u16047, _u16049), _u16051) != c_List_Olist_ONil(_u16047)) | ~hBOOL(hAPP(hAPP(c_member(_u16047), _u16042), hAPP(c_List_Oset(_u16047), _u16051))) | ~hBOOL(hAPP(_u16049, _u16042)) )).
% 39.89/40.10 cnf(fact_filter__empty__conv-2, axiom, ( ( hAPP(c_List_Ofilter(_u16048, _u16050), _u16052) = c_List_Olist_ONil(_u16048)) | hBOOL(hAPP(hAPP(c_member(_u16048), skolem385(_u16052, _u16050, _u16048)), hAPP(c_List_Oset(_u16048), _u16052))) )).
% 39.89/40.10 cnf(fact_filter__empty__conv-3, axiom, ( ( hAPP(c_List_Ofilter(_u16048, _u16050), _u16052) = c_List_Olist_ONil(_u16048)) | hBOOL(hAPP(_u16050, skolem385(_u16052, _u16050, _u16048))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_filter_Osimps_I1_J ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_filter_Osimps_I1_J-1, axiom, ( ( hAPP(c_List_Ofilter(_u16053, _u16054), c_List_Olist_ONil(_u16053)) = c_List_Olist_ONil(_u16053)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_map__filter__simps_I2_J ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_map__filter__simps_I2_J-1, axiom, ( ( c_List_Omap__filter(_u16055, _u16056, _u16057, c_List_Olist_ONil(_u16055)) = c_List_Olist_ONil(_u16056)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_transpose_Osimps_I1_J ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_transpose_Osimps_I1_J-1, axiom, ( ( c_List_Otranspose(_u16058, c_List_Olist_ONil(tc_List_Olist(_u16058))) = c_List_Olist_ONil(tc_List_Olist(_u16058))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_foldr_Osimps_I1_J ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_foldr_Osimps_I1_J-1, axiom, ( ( c_List_Ofoldr(_u16059, _u16060, _u16061, c_List_Olist_ONil(_u16059), _u16062) = _u16062) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_transpose_Osimps_I2_J ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_transpose_Osimps_I2_J-1, axiom, ( ( c_List_Otranspose(_u16063, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u16063)), c_List_Olist_ONil(_u16063)), _u16064)) = c_List_Otranspose(_u16063, _u16064)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_transpose__empty ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_transpose__empty-1, axiom, ( ( c_List_Otranspose(_u16069, _u16071) != c_List_Olist_ONil(tc_List_Olist(_u16069))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16069)), _u16065), hAPP(c_List_Oset(tc_List_Olist(_u16069)), _u16071))) | ( _u16065 = c_List_Olist_ONil(_u16069)) )).
% 39.89/40.10 cnf(fact_transpose__empty-2, axiom, ( ( c_List_Otranspose(_u16070, _u16072) = c_List_Olist_ONil(tc_List_Olist(_u16070))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16070)), skolem386(_u16072, _u16070)), hAPP(c_List_Oset(tc_List_Olist(_u16070)), _u16072))) )).
% 39.89/40.10 cnf(fact_transpose__empty-3, axiom, ( ( c_List_Otranspose(_u16070, _u16072) = c_List_Olist_ONil(tc_List_Olist(_u16070))) | ( skolem386(_u16072, _u16070) != c_List_Olist_ONil(_u16070)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_listsum__simps_I1_J ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_listsum__simps_I1_J-1, axiom, ( ~class_Groups_Omonoid__add(_u16073) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u16073), c_List_Olist_ONil(_u16073)) = c_Groups_Ozero__class_Ozero(_u16073)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_list_Osize_I3_J ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_list_Osize_I3_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16074)), c_List_Olist_ONil(_u16074)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_length__0__conv ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_length__0__conv-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16077)), _u16079) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u16079 = c_List_Olist_ONil(_u16077)) )).
% 39.89/40.10 cnf(fact_length__0__conv-2, axiom, ( ( _u16080 != c_List_Olist_ONil(_u16078)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16078)), _u16080) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_set__empty ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_set__empty-1, axiom, ( ( hAPP(c_List_Oset(_u16083), _u16085) != c_Orderings_Obot__class_Obot(tc_fun(_u16083, tc_HOL_Obool))) | ( _u16085 = c_List_Olist_ONil(_u16083)) )).
% 39.89/40.10 cnf(fact_set__empty-2, axiom, ( ( _u16086 != c_List_Olist_ONil(_u16084)) | ( hAPP(c_List_Oset(_u16084), _u16086) = c_Orderings_Obot__class_Obot(tc_fun(_u16084, tc_HOL_Obool))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_set__empty2 ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_set__empty2-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u16089, tc_HOL_Obool)) != hAPP(c_List_Oset(_u16089), _u16091)) | ( _u16091 = c_List_Olist_ONil(_u16089)) )).
% 39.89/40.10 cnf(fact_set__empty2-2, axiom, ( ( _u16092 != c_List_Olist_ONil(_u16090)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u16090, tc_HOL_Obool)) = hAPP(c_List_Oset(_u16090), _u16092)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_List_Oset_Osimps_I1_J ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_List_Oset_Osimps_I1_J-1, axiom, ( ( hAPP(c_List_Oset(_u16093), c_List_Olist_ONil(_u16093)) = c_Orderings_Obot__class_Obot(tc_fun(_u16093, tc_HOL_Obool))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_list__update__code_I1_J ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_list__update__code_I1_J-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u16094, c_List_Olist_ONil(_u16094)), _u16095), _u16096) = c_List_Olist_ONil(_u16094)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_list__update_Osimps_I1_J ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_list__update_Osimps_I1_J-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u16097, c_List_Olist_ONil(_u16097)), _u16098), _u16099) = c_List_Olist_ONil(_u16097)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_list__update__nonempty ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_list__update__nonempty-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u16104, _u16106), _u16108), _u16110) != c_List_Olist_ONil(_u16104)) | ( _u16106 = c_List_Olist_ONil(_u16104)) )).
% 39.89/40.10 cnf(fact_list__update__nonempty-2, axiom, ( ( _u16107 != c_List_Olist_ONil(_u16105)) | ( hAPP(hAPP(c_List_Olist__update(_u16105, _u16107), _u16109), _u16111) = c_List_Olist_ONil(_u16105)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_list_Osize_I1_J ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_list_Osize_I1_J-1, axiom, ( ( c_List_Olist_Olist__size(_u16112, _u16113, c_List_Olist_ONil(_u16112)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_take__0 ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_take__0-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u16114), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u16115) = c_List_Olist_ONil(_u16114)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_take__eq__Nil ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_take__eq__Nil-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u16119), _u16121), _u16123) != c_List_Olist_ONil(_u16119)) | ( _u16121 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u16123 = c_List_Olist_ONil(_u16119)) )).
% 39.89/40.10 cnf(fact_take__eq__Nil-2, axiom, ( ( hAPP(hAPP(c_List_Otake(_u16120), _u16122), _u16124) = c_List_Olist_ONil(_u16120)) | ( _u16122 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.10 cnf(fact_take__eq__Nil-3, axiom, ( ( hAPP(hAPP(c_List_Otake(_u16120), _u16122), _u16124) = c_List_Olist_ONil(_u16120)) | ( _u16124 != c_List_Olist_ONil(_u16120)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_take__Nil ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_take__Nil-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u16125), _u16126), c_List_Olist_ONil(_u16125)) = c_List_Olist_ONil(_u16125)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_map__upds__Nil2 ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_map__upds__Nil2-1, axiom, ( ( c_Map_Omap__upds(_u16127, _u16128, _u16129, _u16130, c_List_Olist_ONil(_u16128)) = _u16129) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_map__upds__Nil1 ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_map__upds__Nil1-1, axiom, ( ( c_Map_Omap__upds(_u16131, _u16132, _u16133, c_List_Olist_ONil(_u16131), _u16134) = _u16133) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_n__lists_Osimps_I1_J ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_n__lists_Osimps_I1_J-1, axiom, ( ( c_Enum_On__lists(_u16135, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u16136) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u16135)), c_List_Olist_ONil(_u16135)), c_List_Olist_ONil(tc_List_Olist(_u16135)))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_n__lists__Nil ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_n__lists__Nil-1, axiom, ( ( _u16139 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Enum_On__lists(_u16141, _u16139, c_List_Olist_ONil(_u16141)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u16141)), c_List_Olist_ONil(_u16141)), c_List_Olist_ONil(tc_List_Olist(_u16141)))) )).
% 39.89/40.10 cnf(fact_n__lists__Nil-2, axiom, ( ( _u16140 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Enum_On__lists(_u16142, _u16140, c_List_Olist_ONil(_u16142)) = c_List_Olist_ONil(tc_List_Olist(_u16142))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_list_Osimps_I3_J ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_list_Osimps_I3_J-1, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u16143), _u16144), _u16145) != c_List_Olist_ONil(_u16143)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_list_Osimps_I2_J ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_list_Osimps_I2_J-1, axiom, ( ( c_List_Olist_ONil(_u16146) != hAPP(hAPP(c_List_Olist_OCons(_u16146), _u16147), _u16148)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_sublists_Osimps_I1_J ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_sublists_Osimps_I1_J-1, axiom, ( ( c_Enum_Osublists(_u16149, c_List_Olist_ONil(_u16149)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u16149)), c_List_Olist_ONil(_u16149)), c_List_Olist_ONil(tc_List_Olist(_u16149)))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_zip_Osimps_I1_J ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_zip_Osimps_I1_J-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u16150, _u16151), _u16152), c_List_Olist_ONil(_u16151)) = c_List_Olist_ONil(tc_prod(_u16150, _u16151))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_zip__Nil ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_zip__Nil-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u16153, _u16154), c_List_Olist_ONil(_u16153)), _u16155) = c_List_Olist_ONil(tc_prod(_u16153, _u16154))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_sorted__list__of__set__empty ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_sorted__list__of__set__empty-1, axiom, ( ~class_Orderings_Olinorder(_u16156) | ( c_List_Olinorder__class_Osorted__list__of__set(_u16156, c_Orderings_Obot__class_Obot(tc_fun(_u16156, tc_HOL_Obool))) = c_List_Olist_ONil(_u16156)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_sublist__nil ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_sublist__nil-1, axiom, ( ( c_List_Osublist(_u16157, c_List_Olist_ONil(_u16157), _u16158) = c_List_Olist_ONil(_u16157)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_product_Osimps_I1_J ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_product_Osimps_I1_J-1, axiom, ( ( c_Enum_Oproduct(_u16159, _u16160, c_List_Olist_ONil(_u16159), _u16161) = c_List_Olist_ONil(tc_prod(_u16159, _u16160))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_listrelp_ONil ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_listrelp_ONil-1, axiom, ( c_List_Olistrelp(_u16162, _u16163, c_List_Olist_ONil(_u16162), c_List_Olist_ONil(_u16162)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_listrelp_Oequations_I1_J ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_listrelp_Oequations_I1_J-1, axiom, ( c_List_Olistrelp(_u16164, _u16165, c_List_Olist_ONil(_u16164), c_List_Olist_ONil(_u16164)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_distinct_Osimps_I1_J ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_distinct_Osimps_I1_J-1, axiom, ( hBOOL(hAPP(c_List_Odistinct(_u16166), c_List_Olist_ONil(_u16166))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_map__of__Cons__code_I1_J ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_map__of__Cons__code_I1_J-1, axiom, ( ( hAPP(hAPP(c_Map_Omap__of(_u16167, _u16168), c_List_Olist_ONil(tc_prod(_u16167, _u16168))), _u16169) = c_Option_Ooption_ONone(_u16168)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_upto__empty ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_upto__empty-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u16170), _u16171)) | ( c_List_Oupto(_u16171, _u16170) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_distinct__butlast ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_distinct__butlast-1, axiom, ( ( _u16172 = c_List_Olist_ONil(_u16173)) | ~hBOOL(hAPP(c_List_Odistinct(_u16173), _u16172)) | hBOOL(hAPP(c_List_Odistinct(_u16173), c_List_Obutlast(_u16173, _u16172))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_butlast_Osimps_I1_J ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_butlast_Osimps_I1_J-1, axiom, ( ( c_List_Obutlast(_u16174, c_List_Olist_ONil(_u16174)) = c_List_Olist_ONil(_u16174)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_butlast_Osimps_I2_J ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_butlast_Osimps_I2_J-1, axiom, ( ( _u16178 != c_List_Olist_ONil(_u16180)) | ( c_List_Obutlast(_u16180, hAPP(hAPP(c_List_Olist_OCons(_u16180), _u16182), _u16178)) = c_List_Olist_ONil(_u16180)) )).
% 39.89/40.10 cnf(fact_butlast_Osimps_I2_J-2, axiom, ( ( _u16179 = c_List_Olist_ONil(_u16181)) | ( c_List_Obutlast(_u16181, hAPP(hAPP(c_List_Olist_OCons(_u16181), _u16183), _u16179)) = hAPP(hAPP(c_List_Olist_OCons(_u16181), _u16183), c_List_Obutlast(_u16181, _u16179))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_remove1_Osimps_I1_J ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_remove1_Osimps_I1_J-1, axiom, ( ( c_List_Oremove1(_u16184, _u16185, c_List_Olist_ONil(_u16184)) = c_List_Olist_ONil(_u16184)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_map__is__Nil__conv ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_map__is__Nil__conv-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u16190, _u16192), _u16194), _u16196) != c_List_Olist_ONil(_u16192)) | ( _u16196 = c_List_Olist_ONil(_u16190)) )).
% 39.89/40.10 cnf(fact_map__is__Nil__conv-2, axiom, ( ( _u16197 != c_List_Olist_ONil(_u16191)) | ( hAPP(hAPP(c_List_Omap(_u16191, _u16193), _u16195), _u16197) = c_List_Olist_ONil(_u16193)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_map_Osimps_I1_J ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_map_Osimps_I1_J-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u16198, _u16199), _u16200), c_List_Olist_ONil(_u16198)) = c_List_Olist_ONil(_u16199)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_Nil__is__map__conv ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_Nil__is__map__conv-1, axiom, ( ( _u16211 = c_List_Olist_ONil(_u16207)) | ( c_List_Olist_ONil(_u16205) != hAPP(hAPP(c_List_Omap(_u16207, _u16205), _u16209), _u16211)) )).
% 39.89/40.10 cnf(fact_Nil__is__map__conv-2, axiom, ( ( _u16212 != c_List_Olist_ONil(_u16208)) | ( c_List_Olist_ONil(_u16206) = hAPP(hAPP(c_List_Omap(_u16208, _u16206), _u16210), _u16212)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_sublist__empty ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_sublist__empty-1, axiom, ( ( c_List_Osublist(_u16213, _u16214, c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) = c_List_Olist_ONil(_u16213)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_map__of_Osimps_I1_J ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_map__of_Osimps_I1_J-1, axiom, ( ( hAPP(hAPP(c_Map_Omap__of(_u16215, _u16216), c_List_Olist_ONil(tc_prod(_u16215, _u16216))), _u16217) = c_Option_Ooption_ONone(_u16216)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_length__greater__0__conv ( axiom ) converted to clauses:
% 39.89/40.10 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(_u16220)), _u16222))) | ( _u16222 != c_List_Olist_ONil(_u16220)) )).
% 39.89/40.10 cnf(fact_length__greater__0__conv-2, axiom, ( ( _u16223 = c_List_Olist_ONil(_u16221)) | 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(_u16221)), _u16223))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_take__1__Cons ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_take__1__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u16224), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(hAPP(c_List_Olist_OCons(_u16224), _u16225), _u16226)) = hAPP(hAPP(c_List_Olist_OCons(_u16224), _u16225), c_List_Olist_ONil(_u16224))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_not__Nil__listrel1 ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_not__Nil__listrel1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16227), tc_List_Olist(_u16227))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16227), tc_List_Olist(_u16227)), c_List_Olist_ONil(_u16227)), _u16228)), c_List_Olistrel1(_u16227, _u16229))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_not__listrel1__Nil ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_not__listrel1__Nil-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16230), tc_List_Olist(_u16230))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16230), tc_List_Olist(_u16230)), _u16231), c_List_Olist_ONil(_u16230))), c_List_Olistrel1(_u16230, _u16232))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_listrel_ONil ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_listrel_ONil-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16233), tc_List_Olist(_u16233))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16233), tc_List_Olist(_u16233)), c_List_Olist_ONil(_u16233)), c_List_Olist_ONil(_u16233))), c_List_Olistrel(_u16233, _u16234))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_lexord__Nil__right ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_lexord__Nil__right-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16235), tc_List_Olist(_u16235))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16235), tc_List_Olist(_u16235)), _u16236), c_List_Olist_ONil(_u16235))), c_List_Olexord(_u16235, _u16237))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_Nil__notin__lex ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_Nil__notin__lex-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16238), tc_List_Olist(_u16238))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16238), tc_List_Olist(_u16238)), c_List_Olist_ONil(_u16238)), _u16239)), c_List_Olex(_u16238, _u16240))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_Nil2__notin__lex ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_Nil2__notin__lex-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16241), tc_List_Olist(_u16241))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16241), tc_List_Olist(_u16241)), _u16242), c_List_Olist_ONil(_u16241))), c_List_Olex(_u16241, _u16243))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_take__Cons ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_take__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u16244), _u16245), hAPP(hAPP(c_List_Olist_OCons(_u16244), _u16246), _u16247)) = c_Nat_Onat_Onat__case(tc_List_Olist(_u16244), c_List_Olist_ONil(_u16244), hAPP(hAPP(c_COMBB(tc_List_Olist(_u16244), tc_List_Olist(_u16244), tc_Nat_Onat), hAPP(c_List_Olist_OCons(_u16244), _u16246)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(_u16244), tc_List_Olist(_u16244)), c_List_Otake(_u16244)), _u16247)), _u16245)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_upto_Osimps ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_upto_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u16250), _u16252)) | ( c_List_Oupto(_u16250, _u16252) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint), _u16250), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u16250), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u16252))) )).
% 39.89/40.10 cnf(fact_upto_Osimps-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u16251), _u16253)) | ( c_List_Oupto(_u16251, _u16253) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_sublist__singleton ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_sublist__singleton-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u16257)) | ( c_List_Osublist(_u16259, hAPP(hAPP(c_List_Olist_OCons(_u16259), _u16261), c_List_Olist_ONil(_u16259)), _u16257) = hAPP(hAPP(c_List_Olist_OCons(_u16259), _u16261), c_List_Olist_ONil(_u16259))) )).
% 39.89/40.10 cnf(fact_sublist__singleton-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u16258)) | ( c_List_Osublist(_u16260, hAPP(hAPP(c_List_Olist_OCons(_u16260), _u16262), c_List_Olist_ONil(_u16260)), _u16258) = c_List_Olist_ONil(_u16260)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_lists__empty ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_lists__empty-1, axiom, ( ( c_List_Olists(_u16263, c_Orderings_Obot__class_Obot(tc_fun(_u16263, tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u16263)), c_List_Olist_ONil(_u16263)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u16263), tc_HOL_Obool)))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_take__Cons_H ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_take__Cons_H-1, axiom, ( ( _u16268 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u16270), _u16268), hAPP(hAPP(c_List_Olist_OCons(_u16270), _u16272), _u16274)) = c_List_Olist_ONil(_u16270)) )).
% 39.89/40.10 cnf(fact_take__Cons_H-2, axiom, ( ( _u16269 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u16271), _u16269), hAPP(hAPP(c_List_Olist_OCons(_u16271), _u16273), _u16275)) = hAPP(hAPP(c_List_Olist_OCons(_u16271), _u16273), hAPP(hAPP(c_List_Otake(_u16271), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16269), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u16275))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_upto__rec__number__of ( axiom ) converted to clauses:
% 39.89/40.10 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), _u16278)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u16280))) | ( c_List_Oupto(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u16278), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u16280)) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u16278)), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u16278)), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u16280)))) )).
% 39.89/40.10 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), _u16279)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u16281))) | ( c_List_Oupto(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u16279), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u16281)) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_listrel__Nil ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_listrel__Nil-1, axiom, ( ( hAPP(c_Relation_OImage(tc_List_Olist(_u16282), tc_List_Olist(_u16282), c_List_Olistrel(_u16282, _u16283)), hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u16282)), c_List_Olist_ONil(_u16282)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u16282), tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u16282)), c_List_Olist_ONil(_u16282)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u16282), tc_HOL_Obool)))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_set__Cons__sing__Nil ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_set__Cons__sing__Nil-1, axiom, ( ( c_List_Oset__Cons(_u16284, _u16285, hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u16284)), c_List_Olist_ONil(_u16284)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u16284), tc_HOL_Obool)))) = hAPP(c_Set_Oimage(_u16284, tc_List_Olist(_u16284), hAPP(hAPP(c_COMBC(_u16284, tc_List_Olist(_u16284), tc_List_Olist(_u16284)), c_List_Olist_OCons(_u16284)), c_List_Olist_ONil(_u16284))), _u16285)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_take__Cons__number__of ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_take__Cons__number__of-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16290) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u16292), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16290)), hAPP(hAPP(c_List_Olist_OCons(_u16292), _u16294), _u16296)) = c_List_Olist_ONil(_u16292)) )).
% 39.89/40.10 cnf(fact_take__Cons__number__of-2, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16291) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u16293), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16291)), hAPP(hAPP(c_List_Olist_OCons(_u16293), _u16295), _u16297)) = hAPP(hAPP(c_List_Olist_OCons(_u16293), _u16295), hAPP(hAPP(c_List_Otake(_u16293), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16291)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u16297))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_transpose__aux__max ( axiom ) converted to clauses:
% 39.89/40.10 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(_u16298)), _u16299))), c_List_Ofoldr(tc_List_Olist(_u16300), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u16300)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u16300))), _u16301, 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(_u16298)), _u16299)), c_List_Ofoldr(tc_List_Olist(_u16300), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u16300)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u16300), tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u16300)), c_Groups_Ominus__class_Ominus(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u16300)))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), hAPP(c_List_Ofilter(tc_List_Olist(_u16300), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u16300)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u16300), tc_List_Olist(_u16300), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u16300)))), _u16301), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_upto_Opsimps ( axiom ) converted to clauses:
% 39.89/40.10 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), _u16302), _u16303))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u16302), _u16303)) | ( c_List_Oupto(_u16302, _u16303) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint), _u16302), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u16302), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u16303))) )).
% 39.89/40.10 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), _u16302), _u16303))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u16302), _u16303)) | ( c_List_Oupto(_u16302, _u16303) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_sublist__def ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_sublist__def-1, axiom, ( ( c_List_Osublist(_u16304, _u16305, _u16306) = hAPP(hAPP(c_List_Omap(tc_prod(_u16304, tc_Nat_Onat), _u16304), c_Product__Type_Ofst(_u16304, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u16304, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_prod(_u16304, 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(_u16304, tc_Nat_Onat)), c_member(tc_Nat_Onat)), c_Product__Type_Osnd(_u16304, tc_Nat_Onat))), _u16306)), hAPP(hAPP(c_List_Ozip(_u16304, tc_Nat_Onat), _u16305), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16304)), _u16305)))))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_upt__rec ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_upt__rec-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16309), _u16311)) | ( c_List_Oupt(_u16309, _u16311) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u16309), c_List_Oupt(hAPP(c_Nat_OSuc, _u16309), _u16311))) )).
% 39.89/40.10 cnf(fact_upt__rec-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16310), _u16312)) | ( c_List_Oupt(_u16310, _u16312) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_upt__0 ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_upt__0-1, axiom, ( ( c_List_Oupt(_u16313, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_sorted__list__of__set__range ( axiom ) converted to clauses:
% 39.89/40.10 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, _u16314), _u16315)) = c_List_Oupt(_u16314, _u16315)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_upt__conv__Nil ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_upt__conv__Nil-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16316), _u16317)) | ( c_List_Oupt(_u16317, _u16316) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_upt__eq__Nil__conv ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_upt__eq__Nil__conv-1, axiom, ( ( c_List_Oupt(_u16320, _u16322) != c_List_Olist_ONil(tc_Nat_Onat)) | ( _u16322 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16322), _u16320)) )).
% 39.89/40.10 cnf(fact_upt__eq__Nil__conv-2, axiom, ( ( c_List_Oupt(_u16321, _u16323) = c_List_Olist_ONil(tc_Nat_Onat)) | ( _u16323 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.10 cnf(fact_upt__eq__Nil__conv-3, axiom, ( ( c_List_Oupt(_u16321, _u16323) = c_List_Olist_ONil(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16323), _u16321)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_distinct__upt ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_distinct__upt-1, axiom, ( hBOOL(hAPP(c_List_Odistinct(tc_Nat_Onat), c_List_Oupt(_u16324, _u16325))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_upt__conv__Cons ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_upt__conv__Cons-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16326), _u16327)) | ( c_List_Oupt(_u16326, _u16327) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u16326), c_List_Oupt(hAPP(c_Nat_OSuc, _u16326), _u16327))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_take__upt ( axiom ) converted to clauses:
% 39.89/40.10 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), _u16328), _u16329)), _u16330)) | ( hAPP(hAPP(c_List_Otake(tc_Nat_Onat), _u16329), c_List_Oupt(_u16328, _u16330)) = c_List_Oupt(_u16328, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16328), _u16329))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_atLeastLessThan__upt ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_atLeastLessThan__upt-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u16331), _u16332) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u16331, _u16332))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_set__upt ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_set__upt-1, axiom, ( ( hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u16333, _u16334)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u16333), _u16334)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_length__upt ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_length__upt-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)), c_List_Oupt(_u16335, _u16336)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16336), _u16335)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_upt__rec__number__of ( axiom ) converted to clauses:
% 39.89/40.10 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), _u16339)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16341))) | ( c_List_Oupt(hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16339), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16341)) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16339)), c_List_Oupt(hAPP(c_Nat_OSuc, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16339)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16341)))) )).
% 39.89/40.10 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), _u16340)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16342))) | ( c_List_Oupt(hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16340), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16342)) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_upt__eq__Cons__conv ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_upt__eq__Cons__conv-1, axiom, ( ( c_List_Oupt(_u16347, _u16349) != hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u16351), _u16353)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16347), _u16349)) )).
% 39.89/40.10 cnf(fact_upt__eq__Cons__conv-2, axiom, ( ( c_List_Oupt(_u16347, _u16349) != hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u16351), _u16353)) | ( _u16347 = _u16351) )).
% 39.89/40.10 cnf(fact_upt__eq__Cons__conv-3, axiom, ( ( c_List_Oupt(_u16347, _u16349) != hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u16351), _u16353)) | ( c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16347), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u16349) = _u16353) )).
% 39.89/40.10 cnf(fact_upt__eq__Cons__conv-4, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16348), _u16350)) | ( _u16348 != _u16352) | ( c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16348), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u16350) != _u16354) | ( c_List_Oupt(_u16348, _u16350) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u16352), _u16354)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_map__Suc__upt ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_map__Suc__upt-1, axiom, ( ( hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_Nat_Onat), c_Nat_OSuc), c_List_Oupt(_u16355, _u16356)) = c_List_Oupt(hAPP(c_Nat_OSuc, _u16355), hAPP(c_Nat_OSuc, _u16356))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_atLeastAtMost__upt ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_atLeastAtMost__upt-1, axiom, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u16357, _u16358) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u16357, hAPP(c_Nat_OSuc, _u16358)))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_atLeast__upt ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_atLeast__upt-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u16359) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u16359))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_nth__upt ( axiom ) converted to clauses:
% 39.89/40.10 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), _u16360), _u16361)), _u16362)) | ( hAPP(hAPP(c_List_Onth(tc_Nat_Onat), c_List_Oupt(_u16360, _u16362)), _u16361) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16360), _u16361)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_greaterThanAtMost__upt ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_greaterThanAtMost__upt-1, axiom, ( ( c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u16363, _u16364) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(hAPP(c_Nat_OSuc, _u16363), hAPP(c_Nat_OSuc, _u16364)))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_greaterThanLessThan__upt ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_greaterThanLessThan__upt-1, axiom, ( ( c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u16365, _u16366) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(hAPP(c_Nat_OSuc, _u16365), _u16366))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_atMost__upto ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_atMost__upto-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u16367) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u16367)))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_map__nth ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_map__nth-1, axiom, ( ( hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u16368), hAPP(c_List_Onth(_u16368), _u16369)), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16368)), _u16369))) = _u16369) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_interv__listsum__conv__setsum__set__nat ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_interv__listsum__conv__setsum__set__nat-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u16370) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u16370), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u16370), _u16371), c_List_Oupt(_u16372, _u16373))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u16370), _u16371), hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u16372, _u16373)))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_setsum__set__upt__conv__listsum__nat ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_setsum__set__upt__conv__listsum__nat-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u16374) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u16374), _u16375), hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u16376, _u16377))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u16374), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u16374), _u16375), c_List_Oupt(_u16376, _u16377)))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_nth__map__upt ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_nth__map__upt-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16378), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16379), _u16380))) | ( hAPP(hAPP(c_List_Onth(_u16381), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u16381), _u16382), c_List_Oupt(_u16380, _u16379))), _u16378) = hAPP(_u16382, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16380), _u16378))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_sublist__shift__lemma ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_sublist__shift__lemma-1, axiom, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u16383, tc_Nat_Onat), _u16383), c_Product__Type_Ofst(_u16383, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u16383, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_prod(_u16383, 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(_u16383, tc_Nat_Onat)), c_member(tc_Nat_Onat)), c_Product__Type_Osnd(_u16383, tc_Nat_Onat))), _u16384)), hAPP(hAPP(c_List_Ozip(_u16383, tc_Nat_Onat), _u16385), c_List_Oupt(_u16386, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16386), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16383)), _u16385)))))) = hAPP(hAPP(c_List_Omap(tc_prod(_u16383, tc_Nat_Onat), _u16383), c_Product__Type_Ofst(_u16383, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u16383, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_prod(_u16383, 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(_u16383, tc_Nat_Onat)), c_member(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(tc_prod(_u16383, 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(_u16383, tc_Nat_Onat)), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), c_Product__Type_Osnd(_u16383, tc_Nat_Onat))), _u16386))), _u16384)), hAPP(hAPP(c_List_Ozip(_u16383, tc_Nat_Onat), _u16385), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16383)), _u16385)))))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_transpose__rectangle ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_transpose__rectangle-1, axiom, ( ( _u16388 = c_List_Olist_ONil(tc_List_Olist(_u16389))) | ( c_List_Otranspose(_u16389, _u16388) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u16389)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u16389)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u16389), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u16389)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u16389)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u16389), hAPP(hAPP(c_COMBB(tc_List_Olist(_u16389), tc_fun(tc_Nat_Onat, _u16389), tc_Nat_Onat), c_List_Onth(_u16389)), hAPP(c_List_Onth(tc_List_Olist(_u16389)), _u16388))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u16389))), _u16388)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u16390))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem387(_u16390, _u16389, _u16388)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u16389))), _u16388))) )).
% 39.89/40.10 cnf(fact_transpose__rectangle-2, axiom, ( ( _u16388 = c_List_Olist_ONil(tc_List_Olist(_u16389))) | ( c_List_Otranspose(_u16389, _u16388) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u16389)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u16389)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u16389), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u16389)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u16389)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u16389), hAPP(hAPP(c_COMBB(tc_List_Olist(_u16389), tc_fun(tc_Nat_Onat, _u16389), tc_Nat_Onat), c_List_Onth(_u16389)), hAPP(c_List_Onth(tc_List_Olist(_u16389)), _u16388))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u16389))), _u16388)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u16390))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16389)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u16389)), _u16388), skolem387(_u16390, _u16389, _u16388))) != _u16390) )).
% 39.89/40.10 cnf(fact_transpose__rectangle-3, axiom, ( ( _u16390 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Otranspose(_u16389, _u16388) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u16389)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u16389)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u16389), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u16389)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u16389)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u16389), hAPP(hAPP(c_COMBB(tc_List_Olist(_u16389), tc_fun(tc_Nat_Onat, _u16389), tc_Nat_Onat), c_List_Onth(_u16389)), hAPP(c_List_Onth(tc_List_Olist(_u16389)), _u16388))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u16389))), _u16388)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u16390))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem387(_u16390, _u16389, _u16388)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u16389))), _u16388))) )).
% 39.89/40.10 cnf(fact_transpose__rectangle-4, axiom, ( ( _u16390 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Otranspose(_u16389, _u16388) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u16389)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u16389)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u16389), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u16389)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u16389)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u16389), hAPP(hAPP(c_COMBB(tc_List_Olist(_u16389), tc_fun(tc_Nat_Onat, _u16389), tc_Nat_Onat), c_List_Onth(_u16389)), hAPP(c_List_Onth(tc_List_Olist(_u16389)), _u16388))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u16389))), _u16388)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u16390))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16389)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u16389)), _u16388), skolem387(_u16390, _u16389, _u16388))) != _u16390) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_anamorph_Osimps ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_anamorph_Osimps-1, axiom, ( ( _u16396 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(hAPP(c_Lazy__Sequence_Oanamorph(_u16398, _u16400, _u16402), _u16396), _u16404) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16400), _u16398), c_List_Olist_ONil(_u16400)), _u16404)) )).
% 39.89/40.10 cnf(fact_anamorph_Osimps-2, axiom, ( ( _u16397 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(hAPP(c_Lazy__Sequence_Oanamorph(_u16399, _u16401, _u16403), _u16397), _u16405) = hAPP(c_Option_Ooption_Ooption__case(tc_prod(tc_List_Olist(_u16401), _u16399), tc_prod(_u16401, _u16399), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16401), _u16399), c_List_Olist_ONil(_u16401)), _u16405), hAPP(c_Product__Type_Oprod_Oprod__case(_u16401, _u16399, tc_prod(tc_List_Olist(_u16401), _u16399)), hAPP(hAPP(c_COMBC(_u16401, tc_fun(_u16399, tc_prod(tc_List_Olist(_u16401), _u16399)), tc_fun(_u16399, tc_prod(tc_List_Olist(_u16401), _u16399))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_List_Olist(_u16401), _u16399), tc_prod(tc_List_Olist(_u16401), _u16399)), tc_fun(tc_fun(_u16399, tc_prod(tc_List_Olist(_u16401), _u16399)), tc_fun(_u16399, tc_prod(tc_List_Olist(_u16401), _u16399))), _u16401), c_COMBB(tc_prod(tc_List_Olist(_u16401), _u16399), tc_prod(tc_List_Olist(_u16401), _u16399), _u16399)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u16401), tc_fun(_u16399, tc_prod(tc_List_Olist(_u16401), _u16399))), tc_fun(tc_prod(tc_List_Olist(_u16401), _u16399), tc_prod(tc_List_Olist(_u16401), _u16399)), _u16401), c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u16401), _u16399, tc_prod(tc_List_Olist(_u16401), _u16399))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u16401), tc_List_Olist(_u16401)), tc_fun(tc_List_Olist(_u16401), tc_fun(_u16399, tc_prod(tc_List_Olist(_u16401), _u16399))), _u16401), hAPP(c_COMBB(tc_List_Olist(_u16401), tc_fun(_u16399, tc_prod(tc_List_Olist(_u16401), _u16399)), tc_List_Olist(_u16401)), c_Product__Type_OPair(tc_List_Olist(_u16401), _u16399))), c_List_Olist_OCons(_u16401))))), hAPP(c_Lazy__Sequence_Oanamorph(_u16399, _u16401, _u16403), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u16397), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)))))), hAPP(_u16403, _u16405))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_listset_Osimps_I1_J ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_listset_Osimps_I1_J-1, axiom, ( ( c_List_Olistset(_u16406, c_List_Olist_ONil(tc_fun(_u16406, tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u16406)), c_List_Olist_ONil(_u16406)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u16406), tc_HOL_Obool)))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_zip__Cons ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_zip__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u16407, _u16408), _u16409), hAPP(hAPP(c_List_Olist_OCons(_u16408), _u16410), _u16411)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(_u16407, _u16408)), _u16407, c_List_Olist_ONil(tc_prod(_u16407, _u16408)), hAPP(hAPP(c_COMBC(_u16407, tc_fun(tc_List_Olist(_u16407), tc_List_Olist(tc_prod(_u16407, _u16408))), tc_fun(tc_List_Olist(_u16407), tc_List_Olist(tc_prod(_u16407, _u16408)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(_u16407, _u16408)), tc_List_Olist(tc_prod(_u16407, _u16408))), tc_fun(tc_fun(tc_List_Olist(_u16407), tc_List_Olist(tc_prod(_u16407, _u16408))), tc_fun(tc_List_Olist(_u16407), tc_List_Olist(tc_prod(_u16407, _u16408)))), _u16407), c_COMBB(tc_List_Olist(tc_prod(_u16407, _u16408)), tc_List_Olist(tc_prod(_u16407, _u16408)), tc_List_Olist(_u16407))), hAPP(hAPP(c_COMBB(tc_prod(_u16407, _u16408), tc_fun(tc_List_Olist(tc_prod(_u16407, _u16408)), tc_List_Olist(tc_prod(_u16407, _u16408))), _u16407), c_List_Olist_OCons(tc_prod(_u16407, _u16408))), hAPP(hAPP(c_COMBC(_u16407, _u16408, tc_prod(_u16407, _u16408)), c_Product__Type_OPair(_u16407, _u16408)), _u16410)))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u16407), tc_List_Olist(_u16408), tc_List_Olist(tc_prod(_u16407, _u16408))), c_List_Ozip(_u16407, _u16408)), _u16411))), _u16409)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_list_Osimps_I5_J ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_list_Osimps_I5_J-1, axiom, ( ( hAPP(c_List_Olist_Olist__case(_u16412, _u16413, _u16414, _u16415), hAPP(hAPP(c_List_Olist_OCons(_u16413), _u16416), _u16417)) = hAPP(hAPP(_u16415, _u16416), _u16417)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_list_Osimps_I4_J ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_list_Osimps_I4_J-1, axiom, ( ( hAPP(c_List_Olist_Olist__case(_u16418, _u16419, _u16420, _u16421), c_List_Olist_ONil(_u16419)) = _u16420) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_listset_Osimps_I2_J ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_listset_Osimps_I2_J-1, axiom, ( ( c_List_Olistset(_u16422, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u16422, tc_HOL_Obool)), _u16423), _u16424)) = c_List_Oset__Cons(_u16422, _u16423, c_List_Olistset(_u16422, _u16424))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_zip__Cons1 ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_zip__Cons1-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u16425, _u16426), hAPP(hAPP(c_List_Olist_OCons(_u16425), _u16427), _u16428)), _u16429) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(_u16425, _u16426)), _u16426, c_List_Olist_ONil(tc_prod(_u16425, _u16426)), hAPP(hAPP(c_COMBC(_u16426, tc_fun(tc_List_Olist(_u16426), tc_List_Olist(tc_prod(_u16425, _u16426))), tc_fun(tc_List_Olist(_u16426), tc_List_Olist(tc_prod(_u16425, _u16426)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(_u16425, _u16426)), tc_List_Olist(tc_prod(_u16425, _u16426))), tc_fun(tc_fun(tc_List_Olist(_u16426), tc_List_Olist(tc_prod(_u16425, _u16426))), tc_fun(tc_List_Olist(_u16426), tc_List_Olist(tc_prod(_u16425, _u16426)))), _u16426), c_COMBB(tc_List_Olist(tc_prod(_u16425, _u16426)), tc_List_Olist(tc_prod(_u16425, _u16426)), tc_List_Olist(_u16426))), hAPP(hAPP(c_COMBB(tc_prod(_u16425, _u16426), tc_fun(tc_List_Olist(tc_prod(_u16425, _u16426)), tc_List_Olist(tc_prod(_u16425, _u16426))), _u16426), c_List_Olist_OCons(tc_prod(_u16425, _u16426))), hAPP(c_Product__Type_OPair(_u16425, _u16426), _u16427)))), hAPP(c_List_Ozip(_u16425, _u16426), _u16428))), _u16429)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_transpose_Opsimps_I2_J ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_transpose_Opsimps_I2_J-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(_u16430)), c_List_Otranspose__rel(_u16430)), hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u16430)), c_List_Olist_ONil(_u16430)), _u16431))) | ( c_List_Otranspose(_u16430, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u16430)), c_List_Olist_ONil(_u16430)), _u16431)) = c_List_Otranspose(_u16430, _u16431)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_upto_Opinduct ( axiom ) converted to clauses:
% 39.89/40.10 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), _u16434), _u16435))) | hBOOL(hAPP(hAPP(_u16436, _u16434), _u16435)) | 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), skolem388(_u16436, _u16435, _u16434)), skolem389(_u16436, _u16435, _u16434)))) )).
% 39.89/40.10 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), _u16434), _u16435))) | hBOOL(hAPP(hAPP(_u16436, _u16434), _u16435)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem388(_u16436, _u16435, _u16434)), skolem389(_u16436, _u16435, _u16434))) | hBOOL(hAPP(hAPP(_u16436, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem388(_u16436, _u16435, _u16434)), c_Groups_Oone__class_Oone(tc_Int_Oint))), skolem389(_u16436, _u16435, _u16434))) )).
% 39.89/40.10 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), _u16434), _u16435))) | hBOOL(hAPP(hAPP(_u16436, _u16434), _u16435)) | ~hBOOL(hAPP(hAPP(_u16436, skolem388(_u16436, _u16435, _u16434)), skolem389(_u16436, _u16435, _u16434))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_transpose_Opsimps_I1_J ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_transpose_Opsimps_I1_J-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(_u16437)), c_List_Otranspose__rel(_u16437)), c_List_Olist_ONil(tc_List_Olist(_u16437)))) | ( c_List_Otranspose(_u16437, c_List_Olist_ONil(tc_List_Olist(_u16437))) = c_List_Olist_ONil(tc_List_Olist(_u16437))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_transfer__nat__int__list__functions_I2_J ( axiom ) converted to clauses:
% 39.89/40.10 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))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_map__upds__append1 ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_map__upds__append1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16438)), _u16439)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16440)), _u16441))) | ( c_Map_Omap__upds(_u16438, _u16440, _u16442, hAPP(hAPP(c_List_Oappend(_u16438), _u16439), hAPP(hAPP(c_List_Olist_OCons(_u16438), _u16443), c_List_Olist_ONil(_u16438))), _u16441) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u16438, tc_Option_Ooption(_u16440)), c_Map_Omap__upds(_u16438, _u16440, _u16442, _u16439, _u16441)), _u16443), hAPP(c_Option_Ooption_OSome(_u16440), hAPP(hAPP(c_List_Onth(_u16440), _u16441), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16438)), _u16439))))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_append1__eq__conv ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_append1__eq__conv-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16449), _u16451), hAPP(hAPP(c_List_Olist_OCons(_u16449), _u16453), c_List_Olist_ONil(_u16449))) != hAPP(hAPP(c_List_Oappend(_u16449), _u16455), hAPP(hAPP(c_List_Olist_OCons(_u16449), _u16457), c_List_Olist_ONil(_u16449)))) | ( _u16451 = _u16455) )).
% 39.89/40.10 cnf(fact_append1__eq__conv-2, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16449), _u16451), hAPP(hAPP(c_List_Olist_OCons(_u16449), _u16453), c_List_Olist_ONil(_u16449))) != hAPP(hAPP(c_List_Oappend(_u16449), _u16455), hAPP(hAPP(c_List_Olist_OCons(_u16449), _u16457), c_List_Olist_ONil(_u16449)))) | ( _u16453 = _u16457) )).
% 39.89/40.10 cnf(fact_append1__eq__conv-3, axiom, ( ( _u16452 != _u16456) | ( _u16454 != _u16458) | ( hAPP(hAPP(c_List_Oappend(_u16450), _u16452), hAPP(hAPP(c_List_Olist_OCons(_u16450), _u16454), c_List_Olist_ONil(_u16450))) = hAPP(hAPP(c_List_Oappend(_u16450), _u16456), hAPP(hAPP(c_List_Olist_OCons(_u16450), _u16458), c_List_Olist_ONil(_u16450)))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_Cons__eq__append__conv ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_Cons__eq__append__conv-1, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u16466), _u16468), _u16470) != hAPP(hAPP(c_List_Oappend(_u16466), _u16472), _u16474)) | ( _u16472 = c_List_Olist_ONil(_u16466)) | ( hAPP(hAPP(c_List_Olist_OCons(_u16466), _u16468), skolem390(_u16474, _u16472, _u16470, _u16468, _u16466)) = _u16472) )).
% 39.89/40.10 cnf(fact_Cons__eq__append__conv-2, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u16466), _u16468), _u16470) != hAPP(hAPP(c_List_Oappend(_u16466), _u16472), _u16474)) | ( _u16472 = c_List_Olist_ONil(_u16466)) | ( _u16470 = hAPP(hAPP(c_List_Oappend(_u16466), skolem390(_u16474, _u16472, _u16470, _u16468, _u16466)), _u16474)) )).
% 39.89/40.10 cnf(fact_Cons__eq__append__conv-3, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u16466), _u16468), _u16470) != hAPP(hAPP(c_List_Oappend(_u16466), _u16472), _u16474)) | ( hAPP(hAPP(c_List_Olist_OCons(_u16466), _u16468), _u16470) = _u16474) | ( hAPP(hAPP(c_List_Olist_OCons(_u16466), _u16468), skolem390(_u16474, _u16472, _u16470, _u16468, _u16466)) = _u16472) )).
% 39.89/40.10 cnf(fact_Cons__eq__append__conv-4, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u16466), _u16468), _u16470) != hAPP(hAPP(c_List_Oappend(_u16466), _u16472), _u16474)) | ( hAPP(hAPP(c_List_Olist_OCons(_u16466), _u16468), _u16470) = _u16474) | ( _u16470 = hAPP(hAPP(c_List_Oappend(_u16466), skolem390(_u16474, _u16472, _u16470, _u16468, _u16466)), _u16474)) )).
% 39.89/40.10 cnf(fact_Cons__eq__append__conv-5, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u16467), _u16469), _u16471) = hAPP(hAPP(c_List_Oappend(_u16467), _u16473), _u16475)) | ( _u16473 != c_List_Olist_ONil(_u16467)) | ( hAPP(hAPP(c_List_Olist_OCons(_u16467), _u16469), _u16471) != _u16475) )).
% 39.89/40.10 cnf(fact_Cons__eq__append__conv-6, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u16467), _u16469), _u16471) = hAPP(hAPP(c_List_Oappend(_u16467), _u16473), _u16475)) | ( hAPP(hAPP(c_List_Olist_OCons(_u16467), _u16469), _u16460) != _u16473) | ( _u16471 != hAPP(hAPP(c_List_Oappend(_u16467), _u16460), _u16475)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_append__eq__Cons__conv ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_append__eq__Cons__conv-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16483), _u16485), _u16487) != hAPP(hAPP(c_List_Olist_OCons(_u16483), _u16489), _u16491)) | ( _u16485 = c_List_Olist_ONil(_u16483)) | ( _u16485 = hAPP(hAPP(c_List_Olist_OCons(_u16483), _u16489), skolem391(_u16491, _u16489, _u16487, _u16485, _u16483))) )).
% 39.89/40.10 cnf(fact_append__eq__Cons__conv-2, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16483), _u16485), _u16487) != hAPP(hAPP(c_List_Olist_OCons(_u16483), _u16489), _u16491)) | ( _u16485 = c_List_Olist_ONil(_u16483)) | ( hAPP(hAPP(c_List_Oappend(_u16483), skolem391(_u16491, _u16489, _u16487, _u16485, _u16483)), _u16487) = _u16491) )).
% 39.89/40.10 cnf(fact_append__eq__Cons__conv-3, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16483), _u16485), _u16487) != hAPP(hAPP(c_List_Olist_OCons(_u16483), _u16489), _u16491)) | ( _u16487 = hAPP(hAPP(c_List_Olist_OCons(_u16483), _u16489), _u16491)) | ( _u16485 = hAPP(hAPP(c_List_Olist_OCons(_u16483), _u16489), skolem391(_u16491, _u16489, _u16487, _u16485, _u16483))) )).
% 39.89/40.10 cnf(fact_append__eq__Cons__conv-4, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16483), _u16485), _u16487) != hAPP(hAPP(c_List_Olist_OCons(_u16483), _u16489), _u16491)) | ( _u16487 = hAPP(hAPP(c_List_Olist_OCons(_u16483), _u16489), _u16491)) | ( hAPP(hAPP(c_List_Oappend(_u16483), skolem391(_u16491, _u16489, _u16487, _u16485, _u16483)), _u16487) = _u16491) )).
% 39.89/40.10 cnf(fact_append__eq__Cons__conv-5, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16484), _u16486), _u16488) = hAPP(hAPP(c_List_Olist_OCons(_u16484), _u16490), _u16492)) | ( _u16486 != c_List_Olist_ONil(_u16484)) | ( _u16488 != hAPP(hAPP(c_List_Olist_OCons(_u16484), _u16490), _u16492)) )).
% 39.89/40.10 cnf(fact_append__eq__Cons__conv-6, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16484), _u16486), _u16488) = hAPP(hAPP(c_List_Olist_OCons(_u16484), _u16490), _u16492)) | ( _u16486 != hAPP(hAPP(c_List_Olist_OCons(_u16484), _u16490), _u16477)) | ( hAPP(hAPP(c_List_Oappend(_u16484), _u16477), _u16488) != _u16492) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_Cons__eq__appendI ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_Cons__eq__appendI-1, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u16493), _u16494), _u16495) != _u16496) | ( _u16497 != hAPP(hAPP(c_List_Oappend(_u16493), _u16495), _u16498)) | ( hAPP(hAPP(c_List_Olist_OCons(_u16493), _u16494), _u16497) = hAPP(hAPP(c_List_Oappend(_u16493), _u16496), _u16498)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_append__Cons ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_append__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16499), hAPP(hAPP(c_List_Olist_OCons(_u16499), _u16500), _u16501)), _u16502) = hAPP(hAPP(c_List_Olist_OCons(_u16499), _u16500), hAPP(hAPP(c_List_Oappend(_u16499), _u16501), _u16502))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_map__append ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_map__append-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u16503, _u16504), _u16505), hAPP(hAPP(c_List_Oappend(_u16503), _u16506), _u16507)) = hAPP(hAPP(c_List_Oappend(_u16504), hAPP(hAPP(c_List_Omap(_u16503, _u16504), _u16505), _u16506)), hAPP(hAPP(c_List_Omap(_u16503, _u16504), _u16505), _u16507))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_filter__append ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_filter__append-1, axiom, ( ( hAPP(c_List_Ofilter(_u16508, _u16509), hAPP(hAPP(c_List_Oappend(_u16508), _u16510), _u16511)) = hAPP(hAPP(c_List_Oappend(_u16508), hAPP(c_List_Ofilter(_u16508, _u16509), _u16510)), hAPP(c_List_Ofilter(_u16508, _u16509), _u16511))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_zip__append ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_zip__append-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16512)), _u16513) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16514)), _u16515)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16512)), _u16516) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16514)), _u16517)) | ( hAPP(hAPP(c_List_Ozip(_u16512, _u16514), hAPP(hAPP(c_List_Oappend(_u16512), _u16513), _u16516)), hAPP(hAPP(c_List_Oappend(_u16514), _u16515), _u16517)) = hAPP(hAPP(c_List_Oappend(tc_prod(_u16512, _u16514)), hAPP(hAPP(c_List_Ozip(_u16512, _u16514), _u16513), _u16515)), hAPP(hAPP(c_List_Ozip(_u16512, _u16514), _u16516), _u16517))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_map__of__append ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_map__of__append-1, axiom, ( ( hAPP(c_Map_Omap__of(_u16518, _u16519), hAPP(hAPP(c_List_Oappend(tc_prod(_u16518, _u16519)), _u16520), _u16521)) = c_Map_Omap__add(_u16518, _u16519, hAPP(c_Map_Omap__of(_u16518, _u16519), _u16521), hAPP(c_Map_Omap__of(_u16518, _u16519), _u16520))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_append__eq__appendI ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_append__eq__appendI-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16522), _u16523), _u16524) != _u16525) | ( _u16526 != hAPP(hAPP(c_List_Oappend(_u16522), _u16524), _u16527)) | ( hAPP(hAPP(c_List_Oappend(_u16522), _u16523), _u16526) = hAPP(hAPP(c_List_Oappend(_u16522), _u16525), _u16527)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_append__same__eq ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_append__same__eq-1, axiom, ( ( _u16534 = _u16538) | ( hAPP(hAPP(c_List_Oappend(_u16532), _u16534), _u16536) != hAPP(hAPP(c_List_Oappend(_u16532), _u16538), _u16536)) )).
% 39.89/40.10 cnf(fact_append__same__eq-2, axiom, ( ( _u16535 != _u16539) | ( hAPP(hAPP(c_List_Oappend(_u16533), _u16535), _u16537) = hAPP(hAPP(c_List_Oappend(_u16533), _u16539), _u16537)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_same__append__eq ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_same__append__eq-1, axiom, ( ( _u16548 = _u16550) | ( hAPP(hAPP(c_List_Oappend(_u16544), _u16546), _u16548) != hAPP(hAPP(c_List_Oappend(_u16544), _u16546), _u16550)) )).
% 39.89/40.10 cnf(fact_same__append__eq-2, axiom, ( ( _u16549 != _u16551) | ( hAPP(hAPP(c_List_Oappend(_u16545), _u16547), _u16549) = hAPP(hAPP(c_List_Oappend(_u16545), _u16547), _u16551)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_append__eq__append__conv2 ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_append__eq__append__conv2-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16563), _u16565), _u16567) != hAPP(hAPP(c_List_Oappend(_u16563), _u16569), _u16571)) | ( _u16565 = hAPP(hAPP(c_List_Oappend(_u16563), _u16569), skolem392(_u16571, _u16569, _u16567, _u16565, _u16563))) | ( hAPP(hAPP(c_List_Oappend(_u16563), _u16565), skolem393(_u16571, _u16569, _u16567, _u16565, _u16563)) = _u16569) )).
% 39.89/40.10 cnf(fact_append__eq__append__conv2-2, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16563), _u16565), _u16567) != hAPP(hAPP(c_List_Oappend(_u16563), _u16569), _u16571)) | ( _u16565 = hAPP(hAPP(c_List_Oappend(_u16563), _u16569), skolem392(_u16571, _u16569, _u16567, _u16565, _u16563))) | ( _u16567 = hAPP(hAPP(c_List_Oappend(_u16563), skolem393(_u16571, _u16569, _u16567, _u16565, _u16563)), _u16571)) )).
% 39.89/40.10 cnf(fact_append__eq__append__conv2-3, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16563), _u16565), _u16567) != hAPP(hAPP(c_List_Oappend(_u16563), _u16569), _u16571)) | ( hAPP(hAPP(c_List_Oappend(_u16563), skolem392(_u16571, _u16569, _u16567, _u16565, _u16563)), _u16567) = _u16571) | ( hAPP(hAPP(c_List_Oappend(_u16563), _u16565), skolem393(_u16571, _u16569, _u16567, _u16565, _u16563)) = _u16569) )).
% 39.89/40.10 cnf(fact_append__eq__append__conv2-4, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16563), _u16565), _u16567) != hAPP(hAPP(c_List_Oappend(_u16563), _u16569), _u16571)) | ( hAPP(hAPP(c_List_Oappend(_u16563), skolem392(_u16571, _u16569, _u16567, _u16565, _u16563)), _u16567) = _u16571) | ( _u16567 = hAPP(hAPP(c_List_Oappend(_u16563), skolem393(_u16571, _u16569, _u16567, _u16565, _u16563)), _u16571)) )).
% 39.89/40.10 cnf(fact_append__eq__append__conv2-5, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16564), _u16566), _u16568) = hAPP(hAPP(c_List_Oappend(_u16564), _u16570), _u16572)) | ( _u16566 != hAPP(hAPP(c_List_Oappend(_u16564), _u16570), _u16561)) | ( hAPP(hAPP(c_List_Oappend(_u16564), _u16561), _u16568) != _u16572) )).
% 39.89/40.10 cnf(fact_append__eq__append__conv2-6, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16564), _u16566), _u16568) = hAPP(hAPP(c_List_Oappend(_u16564), _u16570), _u16572)) | ( hAPP(hAPP(c_List_Oappend(_u16564), _u16566), _u16562) != _u16570) | ( _u16568 != hAPP(hAPP(c_List_Oappend(_u16564), _u16562), _u16572)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_append__assoc ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_append__assoc-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16573), hAPP(hAPP(c_List_Oappend(_u16573), _u16574), _u16575)), _u16576) = hAPP(hAPP(c_List_Oappend(_u16573), _u16574), hAPP(hAPP(c_List_Oappend(_u16573), _u16575), _u16576))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_append__in__lists__conv ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_append__in__lists__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16581)), hAPP(hAPP(c_List_Oappend(_u16581), _u16583), _u16585)), c_List_Olists(_u16581, _u16587))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16581)), _u16583), c_List_Olists(_u16581, _u16587))) )).
% 39.89/40.10 cnf(fact_append__in__lists__conv-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16581)), hAPP(hAPP(c_List_Oappend(_u16581), _u16583), _u16585)), c_List_Olists(_u16581, _u16587))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16581)), _u16585), c_List_Olists(_u16581, _u16587))) )).
% 39.89/40.10 cnf(fact_append__in__lists__conv-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16582)), _u16584), c_List_Olists(_u16582, _u16588))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16582)), _u16586), c_List_Olists(_u16582, _u16588))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16582)), hAPP(hAPP(c_List_Oappend(_u16582), _u16584), _u16586)), c_List_Olists(_u16582, _u16588))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_fun__upds__append__drop ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_fun__upds__append__drop-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16589)), _u16590) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16591)), _u16592)) | ( c_Map_Omap__upds(_u16589, _u16591, _u16593, hAPP(hAPP(c_List_Oappend(_u16589), _u16590), _u16594), _u16592) = c_Map_Omap__upds(_u16589, _u16591, _u16593, _u16590, _u16592)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_fun__upds__append2__drop ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_fun__upds__append2__drop-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16595)), _u16596) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16597)), _u16598)) | ( c_Map_Omap__upds(_u16595, _u16597, _u16599, _u16596, hAPP(hAPP(c_List_Oappend(_u16597), _u16598), _u16600)) = c_Map_Omap__upds(_u16595, _u16597, _u16599, _u16596, _u16598)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_set__append ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_set__append-1, axiom, ( ( hAPP(c_List_Oset(_u16601), hAPP(hAPP(c_List_Oappend(_u16601), _u16602), _u16603)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16601, tc_HOL_Obool)), hAPP(c_List_Oset(_u16601), _u16602)), hAPP(c_List_Oset(_u16601), _u16603))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_length__append ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_length__append-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16604)), hAPP(hAPP(c_List_Oappend(_u16604), _u16605), _u16606)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16604)), _u16605)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16604)), _u16606))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_listsum__append ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_listsum__append-1, axiom, ( ~class_Groups_Omonoid__add(_u16607) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u16607), hAPP(hAPP(c_List_Oappend(_u16607), _u16608), _u16609)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u16607), hAPP(c_List_Omonoid__add__class_Olistsum(_u16607), _u16608)), hAPP(c_List_Omonoid__add__class_Olistsum(_u16607), _u16609))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_foldr__append ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_foldr__append-1, axiom, ( ( c_List_Ofoldr(_u16610, _u16611, _u16612, hAPP(hAPP(c_List_Oappend(_u16610), _u16613), _u16614), _u16615) = c_List_Ofoldr(_u16610, _u16611, _u16612, _u16613, c_List_Ofoldr(_u16610, _u16611, _u16612, _u16614, _u16615))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_butlast__append ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_butlast__append-1, axiom, ( ( _u16619 != c_List_Olist_ONil(_u16621)) | ( c_List_Obutlast(_u16621, hAPP(hAPP(c_List_Oappend(_u16621), _u16623), _u16619)) = c_List_Obutlast(_u16621, _u16623)) )).
% 39.89/40.10 cnf(fact_butlast__append-2, axiom, ( ( _u16620 = c_List_Olist_ONil(_u16622)) | ( c_List_Obutlast(_u16622, hAPP(hAPP(c_List_Oappend(_u16622), _u16624), _u16620)) = hAPP(hAPP(c_List_Oappend(_u16622), _u16624), c_List_Obutlast(_u16622, _u16620))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_eq__Nil__appendI ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_eq__Nil__appendI-1, axiom, ( ( _u16625 != _u16626) | ( _u16625 = hAPP(hAPP(c_List_Oappend(_u16627), c_List_Olist_ONil(_u16627)), _u16626)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_append__self__conv2 ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_append__self__conv2-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16631), _u16633), _u16635) != _u16635) | ( _u16633 = c_List_Olist_ONil(_u16631)) )).
% 39.89/40.10 cnf(fact_append__self__conv2-2, axiom, ( ( _u16634 != c_List_Olist_ONil(_u16632)) | ( hAPP(hAPP(c_List_Oappend(_u16632), _u16634), _u16636) = _u16636) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_append__self__conv ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_append__self__conv-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16640), _u16642), _u16644) != _u16642) | ( _u16644 = c_List_Olist_ONil(_u16640)) )).
% 39.89/40.10 cnf(fact_append__self__conv-2, axiom, ( ( _u16645 != c_List_Olist_ONil(_u16641)) | ( hAPP(hAPP(c_List_Oappend(_u16641), _u16643), _u16645) = _u16643) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_append__is__Nil__conv ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_append__is__Nil__conv-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16649), _u16651), _u16653) != c_List_Olist_ONil(_u16649)) | ( _u16651 = c_List_Olist_ONil(_u16649)) )).
% 39.89/40.10 cnf(fact_append__is__Nil__conv-2, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16649), _u16651), _u16653) != c_List_Olist_ONil(_u16649)) | ( _u16653 = c_List_Olist_ONil(_u16649)) )).
% 39.89/40.10 cnf(fact_append__is__Nil__conv-3, axiom, ( ( _u16652 != c_List_Olist_ONil(_u16650)) | ( _u16654 != c_List_Olist_ONil(_u16650)) | ( hAPP(hAPP(c_List_Oappend(_u16650), _u16652), _u16654) = c_List_Olist_ONil(_u16650)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_self__append__conv2 ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_self__append__conv2-1, axiom, ( ( _u16662 = c_List_Olist_ONil(_u16660)) | ( _u16658 != hAPP(hAPP(c_List_Oappend(_u16660), _u16662), _u16658)) )).
% 39.89/40.10 cnf(fact_self__append__conv2-2, axiom, ( ( _u16663 != c_List_Olist_ONil(_u16661)) | ( _u16659 = hAPP(hAPP(c_List_Oappend(_u16661), _u16663), _u16659)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_self__append__conv ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_self__append__conv-1, axiom, ( ( _u16671 = c_List_Olist_ONil(_u16669)) | ( _u16667 != hAPP(hAPP(c_List_Oappend(_u16669), _u16667), _u16671)) )).
% 39.89/40.10 cnf(fact_self__append__conv-2, axiom, ( ( _u16672 != c_List_Olist_ONil(_u16670)) | ( _u16668 = hAPP(hAPP(c_List_Oappend(_u16670), _u16668), _u16672)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_append__Nil2 ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_append__Nil2-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16673), _u16674), c_List_Olist_ONil(_u16673)) = _u16674) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_Nil__is__append__conv ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_Nil__is__append__conv-1, axiom, ( ( c_List_Olist_ONil(_u16678) != hAPP(hAPP(c_List_Oappend(_u16678), _u16680), _u16682)) | ( _u16680 = c_List_Olist_ONil(_u16678)) )).
% 39.89/40.10 cnf(fact_Nil__is__append__conv-2, axiom, ( ( c_List_Olist_ONil(_u16678) != hAPP(hAPP(c_List_Oappend(_u16678), _u16680), _u16682)) | ( _u16682 = c_List_Olist_ONil(_u16678)) )).
% 39.89/40.10 cnf(fact_Nil__is__append__conv-3, axiom, ( ( _u16681 != c_List_Olist_ONil(_u16679)) | ( _u16683 != c_List_Olist_ONil(_u16679)) | ( c_List_Olist_ONil(_u16679) = hAPP(hAPP(c_List_Oappend(_u16679), _u16681), _u16683)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_append__Nil ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_append__Nil-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16684), c_List_Olist_ONil(_u16684)), _u16685) = _u16685) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_nth__append__length ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_nth__append__length-1, axiom, ( ( hAPP(hAPP(c_List_Onth(_u16686), hAPP(hAPP(c_List_Oappend(_u16686), _u16687), hAPP(hAPP(c_List_Olist_OCons(_u16686), _u16688), _u16689))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16686)), _u16687)) = _u16688) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_nth__append__length__plus ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_nth__append__length__plus-1, axiom, ( ( hAPP(hAPP(c_List_Onth(_u16690), hAPP(hAPP(c_List_Oappend(_u16690), _u16691), _u16692)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16690)), _u16691)), _u16693)) = hAPP(hAPP(c_List_Onth(_u16690), _u16692), _u16693)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_take__append ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_take__append-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u16694), _u16695), hAPP(hAPP(c_List_Oappend(_u16694), _u16696), _u16697)) = hAPP(hAPP(c_List_Oappend(_u16694), hAPP(hAPP(c_List_Otake(_u16694), _u16695), _u16696)), hAPP(hAPP(c_List_Otake(_u16694), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16695), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16694)), _u16696))), _u16697))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_list__update__append1 ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_list__update__append1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16698), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16699)), _u16700))) | ( hAPP(hAPP(c_List_Olist__update(_u16699, hAPP(hAPP(c_List_Oappend(_u16699), _u16700), _u16701)), _u16698), _u16702) = hAPP(hAPP(c_List_Oappend(_u16699), hAPP(hAPP(c_List_Olist__update(_u16699, _u16700), _u16698), _u16702)), _u16701)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_list__update__length ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_list__update__length-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u16703, hAPP(hAPP(c_List_Oappend(_u16703), _u16704), hAPP(hAPP(c_List_Olist_OCons(_u16703), _u16705), _u16706))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16703)), _u16704)), _u16707) = hAPP(hAPP(c_List_Oappend(_u16703), _u16704), hAPP(hAPP(c_List_Olist_OCons(_u16703), _u16707), _u16706))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_remove1__append ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_remove1__append-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u16712), _u16714), hAPP(c_List_Oset(_u16712), _u16716))) | ( c_List_Oremove1(_u16712, _u16714, hAPP(hAPP(c_List_Oappend(_u16712), _u16716), _u16718)) = hAPP(hAPP(c_List_Oappend(_u16712), c_List_Oremove1(_u16712, _u16714, _u16716)), _u16718)) )).
% 39.89/40.10 cnf(fact_remove1__append-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u16713), _u16715), hAPP(c_List_Oset(_u16713), _u16717))) | ( c_List_Oremove1(_u16713, _u16715, hAPP(hAPP(c_List_Oappend(_u16713), _u16717), _u16719)) = hAPP(hAPP(c_List_Oappend(_u16713), _u16717), c_List_Oremove1(_u16713, _u16715, _u16719))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_in__set__butlast__appendI ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_in__set__butlast__appendI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u16720), _u16721), hAPP(c_List_Oset(_u16720), c_List_Obutlast(_u16720, hAPP(hAPP(c_List_Oappend(_u16720), _u16722), _u16723))))) | ~hBOOL(hAPP(hAPP(c_member(_u16720), _u16721), hAPP(c_List_Oset(_u16720), c_List_Obutlast(_u16720, _u16722)))) )).
% 39.89/40.10 cnf(fact_in__set__butlast__appendI-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u16720), _u16721), hAPP(c_List_Oset(_u16720), c_List_Obutlast(_u16720, hAPP(hAPP(c_List_Oappend(_u16720), _u16722), _u16723))))) | ~hBOOL(hAPP(hAPP(c_member(_u16720), _u16721), hAPP(c_List_Oset(_u16720), c_List_Obutlast(_u16720, _u16723)))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_upt__add__eq__append ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_upt__add__eq__append-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16724), _u16725)) | ( c_List_Oupt(_u16724, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16725), _u16726)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), c_List_Oupt(_u16724, _u16725)), c_List_Oupt(_u16725, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16725), _u16726)))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_butlast__snoc ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_butlast__snoc-1, axiom, ( ( c_List_Obutlast(_u16727, hAPP(hAPP(c_List_Oappend(_u16727), _u16728), hAPP(hAPP(c_List_Olist_OCons(_u16727), _u16729), c_List_Olist_ONil(_u16727)))) = _u16728) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_append__listrel1I ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_append__listrel1I-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16730), tc_List_Olist(_u16730))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16730), tc_List_Olist(_u16730)), hAPP(hAPP(c_List_Oappend(_u16730), _u16731), _u16734)), hAPP(hAPP(c_List_Oappend(_u16730), _u16732), _u16735))), c_List_Olistrel1(_u16730, _u16733))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16730), tc_List_Olist(_u16730))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16730), tc_List_Olist(_u16730)), _u16731), _u16732)), c_List_Olistrel1(_u16730, _u16733))) | ( _u16734 != _u16735) )).
% 39.89/40.10 cnf(fact_append__listrel1I-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16730), tc_List_Olist(_u16730))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16730), tc_List_Olist(_u16730)), hAPP(hAPP(c_List_Oappend(_u16730), _u16731), _u16734)), hAPP(hAPP(c_List_Oappend(_u16730), _u16732), _u16735))), c_List_Olistrel1(_u16730, _u16733))) | ( _u16731 != _u16732) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16730), tc_List_Olist(_u16730))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16730), tc_List_Olist(_u16730)), _u16734), _u16735)), c_List_Olistrel1(_u16730, _u16733))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_lexord__append__leftI ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_lexord__append__leftI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16736), tc_List_Olist(_u16736))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16736), tc_List_Olist(_u16736)), _u16737), _u16738)), c_List_Olexord(_u16736, _u16739))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16736), tc_List_Olist(_u16736))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16736), tc_List_Olist(_u16736)), hAPP(hAPP(c_List_Oappend(_u16736), _u16740), _u16737)), hAPP(hAPP(c_List_Oappend(_u16736), _u16740), _u16738))), c_List_Olexord(_u16736, _u16739))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_return__list__def ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_return__list__def-1, axiom, ( ( c_List_Oreturn__list(_u16741) = hAPP(hAPP(c_List_Omap(tc_Int_Oint, tc_Nat_Onat), c_Int_Onat), _u16741)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_distinct__append ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_distinct__append-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16745), hAPP(hAPP(c_List_Oappend(_u16745), _u16747), _u16749))) | hBOOL(hAPP(c_List_Odistinct(_u16745), _u16747)) )).
% 39.89/40.10 cnf(fact_distinct__append-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16745), hAPP(hAPP(c_List_Oappend(_u16745), _u16747), _u16749))) | hBOOL(hAPP(c_List_Odistinct(_u16745), _u16749)) )).
% 39.89/40.10 cnf(fact_distinct__append-3, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16745), hAPP(hAPP(c_List_Oappend(_u16745), _u16747), _u16749))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16745, tc_HOL_Obool)), hAPP(c_List_Oset(_u16745), _u16747)), hAPP(c_List_Oset(_u16745), _u16749)) = c_Orderings_Obot__class_Obot(tc_fun(_u16745, tc_HOL_Obool))) )).
% 39.89/40.10 cnf(fact_distinct__append-4, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16746), _u16748)) | ~hBOOL(hAPP(c_List_Odistinct(_u16746), _u16750)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16746, tc_HOL_Obool)), hAPP(c_List_Oset(_u16746), _u16748)), hAPP(c_List_Oset(_u16746), _u16750)) != c_Orderings_Obot__class_Obot(tc_fun(_u16746, tc_HOL_Obool))) | hBOOL(hAPP(c_List_Odistinct(_u16746), hAPP(hAPP(c_List_Oappend(_u16746), _u16748), _u16750))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_nth__append ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_nth__append-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16755), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16757)), _u16759))) | ( hAPP(hAPP(c_List_Onth(_u16757), hAPP(hAPP(c_List_Oappend(_u16757), _u16759), _u16761)), _u16755) = hAPP(hAPP(c_List_Onth(_u16757), _u16759), _u16755)) )).
% 39.89/40.10 cnf(fact_nth__append-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16756), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16758)), _u16760))) | ( hAPP(hAPP(c_List_Onth(_u16758), hAPP(hAPP(c_List_Oappend(_u16758), _u16760), _u16762)), _u16756) = hAPP(hAPP(c_List_Onth(_u16758), _u16762), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16756), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16758)), _u16760)))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_list__update__append ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_list__update__append-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16768), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16770)), _u16772))) | ( hAPP(hAPP(c_List_Olist__update(_u16770, hAPP(hAPP(c_List_Oappend(_u16770), _u16772), _u16774)), _u16768), _u16776) = hAPP(hAPP(c_List_Oappend(_u16770), hAPP(hAPP(c_List_Olist__update(_u16770, _u16772), _u16768), _u16776)), _u16774)) )).
% 39.89/40.10 cnf(fact_list__update__append-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16769), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16771)), _u16773))) | ( hAPP(hAPP(c_List_Olist__update(_u16771, hAPP(hAPP(c_List_Oappend(_u16771), _u16773), _u16775)), _u16769), _u16777) = hAPP(hAPP(c_List_Oappend(_u16771), _u16773), hAPP(hAPP(c_List_Olist__update(_u16771, _u16775), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16769), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16771)), _u16773))), _u16777))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_sublists_Osimps_I2_J ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_sublists_Osimps_I2_J-1, axiom, ( ( c_Enum_Osublists(_u16778, hAPP(hAPP(c_List_Olist_OCons(_u16778), _u16779), _u16780)) = hAPP(hAPP(c_HOL_OLet(tc_List_Olist(tc_List_Olist(_u16778)), tc_List_Olist(tc_List_Olist(_u16778))), c_Enum_Osublists(_u16778, _u16780)), hAPP(hAPP(c_COMBS(tc_List_Olist(tc_List_Olist(_u16778)), tc_List_Olist(tc_List_Olist(_u16778)), tc_List_Olist(tc_List_Olist(_u16778))), hAPP(hAPP(c_COMBB(tc_List_Olist(tc_List_Olist(_u16778)), tc_fun(tc_List_Olist(tc_List_Olist(_u16778)), tc_List_Olist(tc_List_Olist(_u16778))), tc_List_Olist(tc_List_Olist(_u16778))), c_List_Oappend(tc_List_Olist(_u16778))), hAPP(c_List_Omap(tc_List_Olist(_u16778), tc_List_Olist(_u16778)), hAPP(c_List_Olist_OCons(_u16778), _u16779)))), c_COMBI(tc_List_Olist(tc_List_Olist(_u16778)))))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_product_Osimps_I2_J ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_product_Osimps_I2_J-1, axiom, ( ( c_Enum_Oproduct(_u16781, _u16782, hAPP(hAPP(c_List_Olist_OCons(_u16781), _u16783), _u16784), _u16785) = hAPP(hAPP(c_List_Oappend(tc_prod(_u16781, _u16782)), hAPP(hAPP(c_List_Omap(_u16782, tc_prod(_u16781, _u16782)), hAPP(c_Product__Type_OPair(_u16781, _u16782), _u16783)), _u16785)), c_Enum_Oproduct(_u16781, _u16782, _u16784, _u16785))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_sublist__append ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_sublist__append-1, axiom, ( ( c_List_Osublist(_u16786, hAPP(hAPP(c_List_Oappend(_u16786), _u16787), _u16788), _u16789) = hAPP(hAPP(c_List_Oappend(_u16786), c_List_Osublist(_u16786, _u16787, _u16789)), c_List_Osublist(_u16786, _u16788, 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(_u16786)), _u16787)))), _u16789))))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_upt__Suc__append ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_upt__Suc__append-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16790), _u16791)) | ( c_List_Oupt(_u16790, hAPP(c_Nat_OSuc, _u16791)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), c_List_Oupt(_u16790, _u16791)), hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u16791), c_List_Olist_ONil(tc_Nat_Onat)))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_upt__Suc ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_upt__Suc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16794), _u16796)) | ( c_List_Oupt(_u16794, hAPP(c_Nat_OSuc, _u16796)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), c_List_Oupt(_u16794, _u16796)), hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u16796), c_List_Olist_ONil(tc_Nat_Onat)))) )).
% 39.89/40.10 cnf(fact_upt__Suc-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16795), _u16797)) | ( c_List_Oupt(_u16795, hAPP(c_Nat_OSuc, _u16797)) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_listrel1I ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_listrel1I-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16798, _u16798)), hAPP(hAPP(c_Product__Type_OPair(_u16798, _u16798), _u16799), _u16800)), _u16801)) | ( _u16802 != hAPP(hAPP(c_List_Oappend(_u16798), _u16803), hAPP(hAPP(c_List_Olist_OCons(_u16798), _u16799), _u16804))) | ( _u16805 != hAPP(hAPP(c_List_Oappend(_u16798), _u16803), hAPP(hAPP(c_List_Olist_OCons(_u16798), _u16800), _u16804))) | 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)), _u16802), _u16805)), c_List_Olistrel1(_u16798, _u16801))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_lexord__append__left__rightI ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_lexord__append__left__rightI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16806, _u16806)), hAPP(hAPP(c_Product__Type_OPair(_u16806, _u16806), _u16807), _u16808)), _u16809)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16806), tc_List_Olist(_u16806))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16806), tc_List_Olist(_u16806)), hAPP(hAPP(c_List_Oappend(_u16806), _u16810), hAPP(hAPP(c_List_Olist_OCons(_u16806), _u16807), _u16811))), hAPP(hAPP(c_List_Oappend(_u16806), _u16810), hAPP(hAPP(c_List_Olist_OCons(_u16806), _u16808), _u16812)))), c_List_Olexord(_u16806, _u16809))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_take__Suc__conv__app__nth ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_take__Suc__conv__app__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16813), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16814)), _u16815))) | ( hAPP(hAPP(c_List_Otake(_u16814), hAPP(c_Nat_OSuc, _u16813)), _u16815) = hAPP(hAPP(c_List_Oappend(_u16814), hAPP(hAPP(c_List_Otake(_u16814), _u16813), _u16815)), hAPP(hAPP(c_List_Olist_OCons(_u16814), hAPP(hAPP(c_List_Onth(_u16814), _u16815), _u16813)), c_List_Olist_ONil(_u16814)))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_snoc__listrel1__snoc__iff ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_snoc__listrel1__snoc__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16822), tc_List_Olist(_u16822))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16822), tc_List_Olist(_u16822)), hAPP(hAPP(c_List_Oappend(_u16822), _u16824), hAPP(hAPP(c_List_Olist_OCons(_u16822), _u16826), c_List_Olist_ONil(_u16822)))), hAPP(hAPP(c_List_Oappend(_u16822), _u16828), hAPP(hAPP(c_List_Olist_OCons(_u16822), _u16830), c_List_Olist_ONil(_u16822))))), c_List_Olistrel1(_u16822, _u16832))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16822), tc_List_Olist(_u16822))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16822), tc_List_Olist(_u16822)), _u16824), _u16828)), c_List_Olistrel1(_u16822, _u16832))) | ( _u16824 = _u16828) )).
% 39.89/40.10 cnf(fact_snoc__listrel1__snoc__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16822), tc_List_Olist(_u16822))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16822), tc_List_Olist(_u16822)), hAPP(hAPP(c_List_Oappend(_u16822), _u16824), hAPP(hAPP(c_List_Olist_OCons(_u16822), _u16826), c_List_Olist_ONil(_u16822)))), hAPP(hAPP(c_List_Oappend(_u16822), _u16828), hAPP(hAPP(c_List_Olist_OCons(_u16822), _u16830), c_List_Olist_ONil(_u16822))))), c_List_Olistrel1(_u16822, _u16832))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16822), tc_List_Olist(_u16822))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16822), tc_List_Olist(_u16822)), _u16824), _u16828)), c_List_Olistrel1(_u16822, _u16832))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16822, _u16822)), hAPP(hAPP(c_Product__Type_OPair(_u16822, _u16822), _u16826), _u16830)), _u16832)) )).
% 39.89/40.10 cnf(fact_snoc__listrel1__snoc__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16822), tc_List_Olist(_u16822))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16822), tc_List_Olist(_u16822)), hAPP(hAPP(c_List_Oappend(_u16822), _u16824), hAPP(hAPP(c_List_Olist_OCons(_u16822), _u16826), c_List_Olist_ONil(_u16822)))), hAPP(hAPP(c_List_Oappend(_u16822), _u16828), hAPP(hAPP(c_List_Olist_OCons(_u16822), _u16830), c_List_Olist_ONil(_u16822))))), c_List_Olistrel1(_u16822, _u16832))) | ( _u16826 = _u16830) | ( _u16824 = _u16828) )).
% 39.89/40.10 cnf(fact_snoc__listrel1__snoc__iff-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16822), tc_List_Olist(_u16822))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16822), tc_List_Olist(_u16822)), hAPP(hAPP(c_List_Oappend(_u16822), _u16824), hAPP(hAPP(c_List_Olist_OCons(_u16822), _u16826), c_List_Olist_ONil(_u16822)))), hAPP(hAPP(c_List_Oappend(_u16822), _u16828), hAPP(hAPP(c_List_Olist_OCons(_u16822), _u16830), c_List_Olist_ONil(_u16822))))), c_List_Olistrel1(_u16822, _u16832))) | ( _u16826 = _u16830) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16822, _u16822)), hAPP(hAPP(c_Product__Type_OPair(_u16822, _u16822), _u16826), _u16830)), _u16832)) )).
% 39.89/40.10 cnf(fact_snoc__listrel1__snoc__iff-5, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16823), tc_List_Olist(_u16823))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16823), tc_List_Olist(_u16823)), hAPP(hAPP(c_List_Oappend(_u16823), _u16825), hAPP(hAPP(c_List_Olist_OCons(_u16823), _u16827), c_List_Olist_ONil(_u16823)))), hAPP(hAPP(c_List_Oappend(_u16823), _u16829), hAPP(hAPP(c_List_Olist_OCons(_u16823), _u16831), c_List_Olist_ONil(_u16823))))), c_List_Olistrel1(_u16823, _u16833))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16823), tc_List_Olist(_u16823))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16823), tc_List_Olist(_u16823)), _u16825), _u16829)), c_List_Olistrel1(_u16823, _u16833))) | ( _u16827 != _u16831) )).
% 39.89/40.10 cnf(fact_snoc__listrel1__snoc__iff-6, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16823), tc_List_Olist(_u16823))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16823), tc_List_Olist(_u16823)), hAPP(hAPP(c_List_Oappend(_u16823), _u16825), hAPP(hAPP(c_List_Olist_OCons(_u16823), _u16827), c_List_Olist_ONil(_u16823)))), hAPP(hAPP(c_List_Oappend(_u16823), _u16829), hAPP(hAPP(c_List_Olist_OCons(_u16823), _u16831), c_List_Olist_ONil(_u16823))))), c_List_Olistrel1(_u16823, _u16833))) | ( _u16825 != _u16829) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16823, _u16823)), hAPP(hAPP(c_Product__Type_OPair(_u16823, _u16823), _u16827), _u16831)), _u16833)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_sublist__Cons ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_sublist__Cons-1, axiom, ( ( c_List_Osublist(_u16834, hAPP(hAPP(c_List_Olist_OCons(_u16834), _u16835), _u16836), _u16837) = hAPP(hAPP(c_List_Oappend(_u16834), hAPP(hAPP(hAPP(c_If(tc_List_Olist(_u16834)), hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u16837)), hAPP(hAPP(c_List_Olist_OCons(_u16834), _u16835), c_List_Olist_ONil(_u16834))), c_List_Olist_ONil(_u16834))), c_List_Osublist(_u16834, _u16836, 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)), _u16837))))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_transfer__nat__int__list__return__embed ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_transfer__nat__int__list__return__embed-1, axiom, ( ~c_List_Onat__list(_u16838) | ( c_List_Oembed__list(c_List_Oreturn__list(_u16838)) = _u16838) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_listrel1E ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_listrel1E-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16843), tc_List_Olist(_u16843))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16843), tc_List_Olist(_u16843)), _u16844), _u16845)), c_List_Olistrel1(_u16843, _u16846))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16843, _u16843)), hAPP(hAPP(c_Product__Type_OPair(_u16843, _u16843), skolem394(_u16846, _u16845, _u16844, _u16843)), skolem395(_u16846, _u16845, _u16844, _u16843))), _u16846)) )).
% 39.89/40.10 cnf(fact_listrel1E-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16843), tc_List_Olist(_u16843))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16843), tc_List_Olist(_u16843)), _u16844), _u16845)), c_List_Olistrel1(_u16843, _u16846))) | ( _u16844 = hAPP(hAPP(c_List_Oappend(_u16843), skolem396(_u16846, _u16845, _u16844, _u16843)), hAPP(hAPP(c_List_Olist_OCons(_u16843), skolem394(_u16846, _u16845, _u16844, _u16843)), skolem397(_u16846, _u16845, _u16844, _u16843)))) )).
% 39.89/40.10 cnf(fact_listrel1E-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16843), tc_List_Olist(_u16843))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16843), tc_List_Olist(_u16843)), _u16844), _u16845)), c_List_Olistrel1(_u16843, _u16846))) | ( _u16845 = hAPP(hAPP(c_List_Oappend(_u16843), skolem396(_u16846, _u16845, _u16844, _u16843)), hAPP(hAPP(c_List_Olist_OCons(_u16843), skolem395(_u16846, _u16845, _u16844, _u16843)), skolem397(_u16846, _u16845, _u16844, _u16843)))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_embed__list__def ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_embed__list__def-1, axiom, ( ( c_List_Oembed__list(_u16847) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_Int_Oint), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u16847)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_transfer__nat__int__list__functions_I1_J ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_transfer__nat__int__list__functions_I1_J-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), _u16848), _u16849) = c_List_Oreturn__list(hAPP(hAPP(c_List_Oappend(tc_Int_Oint), c_List_Oembed__list(_u16848)), c_List_Oembed__list(_u16849)))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_lexord__append__leftD ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_lexord__append__leftD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16851), tc_List_Olist(_u16851))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16851), tc_List_Olist(_u16851)), hAPP(hAPP(c_List_Oappend(_u16851), _u16852), _u16853)), hAPP(hAPP(c_List_Oappend(_u16851), _u16852), _u16854))), c_List_Olexord(_u16851, _u16855))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16851, _u16851)), hAPP(hAPP(c_Product__Type_OPair(_u16851, _u16851), skolem398(_u16855, _u16854, _u16853, _u16852, _u16851)), skolem398(_u16855, _u16854, _u16853, _u16852, _u16851))), _u16855)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16851), tc_List_Olist(_u16851))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16851), tc_List_Olist(_u16851)), _u16853), _u16854)), c_List_Olexord(_u16851, _u16855))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_rotate1__def ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_rotate1__def-1, axiom, ( ( hAPP(c_List_Orotate1(_u16856), _u16857) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(_u16856), _u16856, c_List_Olist_ONil(_u16856), hAPP(hAPP(c_COMBB(tc_List_Olist(_u16856), tc_fun(tc_List_Olist(_u16856), tc_List_Olist(_u16856)), _u16856), hAPP(c_COMBC(tc_List_Olist(_u16856), tc_List_Olist(_u16856), tc_List_Olist(_u16856)), c_List_Oappend(_u16856))), hAPP(hAPP(c_COMBC(_u16856, tc_List_Olist(_u16856), tc_List_Olist(_u16856)), c_List_Olist_OCons(_u16856)), c_List_Olist_ONil(_u16856)))), _u16857)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_distinct1__rotate ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_distinct1__rotate-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16860), hAPP(c_List_Orotate1(_u16860), _u16862))) | hBOOL(hAPP(c_List_Odistinct(_u16860), _u16862)) )).
% 39.89/40.10 cnf(fact_distinct1__rotate-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16861), _u16863)) | hBOOL(hAPP(c_List_Odistinct(_u16861), hAPP(c_List_Orotate1(_u16861), _u16863))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_set__rotate1 ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_set__rotate1-1, axiom, ( ( hAPP(c_List_Oset(_u16864), hAPP(c_List_Orotate1(_u16864), _u16865)) = hAPP(c_List_Oset(_u16864), _u16865)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_length__rotate1 ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_length__rotate1-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16866)), hAPP(c_List_Orotate1(_u16866), _u16867)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16866)), _u16867)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_rotate1__is__Nil__conv ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_rotate1__is__Nil__conv-1, axiom, ( ( hAPP(c_List_Orotate1(_u16870), _u16872) != c_List_Olist_ONil(_u16870)) | ( _u16872 = c_List_Olist_ONil(_u16870)) )).
% 39.89/40.10 cnf(fact_rotate1__is__Nil__conv-2, axiom, ( ( _u16873 != c_List_Olist_ONil(_u16871)) | ( hAPP(c_List_Orotate1(_u16871), _u16873) = c_List_Olist_ONil(_u16871)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_rotate__simps ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_rotate__simps-1, axiom, ( ( hAPP(c_List_Orotate1(_u16874), c_List_Olist_ONil(_u16874)) = c_List_Olist_ONil(_u16874)) )).
% 39.89/40.10 cnf(fact_rotate__simps-2, axiom, ( ( hAPP(c_List_Orotate1(_u16875), hAPP(hAPP(c_List_Olist_OCons(_u16875), _u16876), _u16877)) = hAPP(hAPP(c_List_Oappend(_u16875), _u16877), hAPP(hAPP(c_List_Olist_OCons(_u16875), _u16876), c_List_Olist_ONil(_u16875)))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_rotate1__length01 ( axiom ) converted to clauses:
% 39.89/40.10 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(_u16878)), _u16879)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( hAPP(c_List_Orotate1(_u16878), _u16879) = _u16879) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_listsum__map__filter ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_listsum__map__filter-1, axiom, ( ~class_Groups_Omonoid__add(_u16881) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u16881), hAPP(hAPP(c_List_Omap(_u16882, _u16881), _u16885), hAPP(c_List_Ofilter(_u16882, _u16884), _u16883))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u16881), hAPP(hAPP(c_List_Omap(_u16882, _u16881), _u16885), _u16883))) | hBOOL(hAPP(hAPP(c_member(_u16882), skolem399(_u16885, _u16884, _u16883, _u16882, _u16881)), hAPP(c_List_Oset(_u16882), _u16883))) )).
% 39.89/40.10 cnf(fact_listsum__map__filter-2, axiom, ( ~class_Groups_Omonoid__add(_u16881) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u16881), hAPP(hAPP(c_List_Omap(_u16882, _u16881), _u16885), hAPP(c_List_Ofilter(_u16882, _u16884), _u16883))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u16881), hAPP(hAPP(c_List_Omap(_u16882, _u16881), _u16885), _u16883))) | ~hBOOL(hAPP(_u16884, skolem399(_u16885, _u16884, _u16883, _u16882, _u16881))) )).
% 39.89/40.10 cnf(fact_listsum__map__filter-3, axiom, ( ~class_Groups_Omonoid__add(_u16881) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u16881), hAPP(hAPP(c_List_Omap(_u16882, _u16881), _u16885), hAPP(c_List_Ofilter(_u16882, _u16884), _u16883))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u16881), hAPP(hAPP(c_List_Omap(_u16882, _u16881), _u16885), _u16883))) | ( hAPP(_u16885, skolem399(_u16885, _u16884, _u16883, _u16882, _u16881)) != c_Groups_Ozero__class_Ozero(_u16881)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_partition__filter__conv ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_partition__filter__conv-1, axiom, ( ( c_List_Opartition(_u16886, _u16887, _u16888) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16886), tc_List_Olist(_u16886)), hAPP(c_List_Ofilter(_u16886, _u16887), _u16888)), hAPP(c_List_Ofilter(_u16886, hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, _u16886, c_fNot), _u16887)), _u16888))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_partition__filter1 ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_partition__filter1-1, axiom, ( ( hAPP(c_Product__Type_Ofst(tc_List_Olist(_u16889), tc_List_Olist(_u16889)), c_List_Opartition(_u16889, _u16890, _u16891)) = hAPP(c_List_Ofilter(_u16889, _u16890), _u16891)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_partition__P ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_partition__P-1, axiom, ( ( c_List_Opartition(_u16894, _u16895, _u16896) != hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16894), tc_List_Olist(_u16894)), _u16897), _u16898)) | ~hBOOL(hAPP(hAPP(c_member(_u16894), _u16892), hAPP(c_List_Oset(_u16894), _u16897))) | hBOOL(hAPP(_u16895, _u16892)) )).
% 39.89/40.10 cnf(fact_partition__P-2, axiom, ( ( c_List_Opartition(_u16894, _u16895, _u16896) != hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16894), tc_List_Olist(_u16894)), _u16897), _u16898)) | ~hBOOL(hAPP(hAPP(c_member(_u16894), _u16893), hAPP(c_List_Oset(_u16894), _u16898))) | ~hBOOL(hAPP(_u16895, _u16893)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_partition_Osimps_I1_J ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_partition_Osimps_I1_J-1, axiom, ( ( c_List_Opartition(_u16899, _u16900, c_List_Olist_ONil(_u16899)) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16899), tc_List_Olist(_u16899)), c_List_Olist_ONil(_u16899)), c_List_Olist_ONil(_u16899))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_partition_Osimps_I2_J ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_partition_Osimps_I2_J-1, axiom, ( ( c_List_Opartition(_u16901, _u16902, hAPP(hAPP(c_List_Olist_OCons(_u16901), _u16903), _u16904)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u16901), tc_List_Olist(_u16901), tc_prod(tc_List_Olist(_u16901), tc_List_Olist(_u16901))), hAPP(hAPP(c_COMBS(tc_List_Olist(_u16901), tc_fun(tc_List_Olist(_u16901), tc_prod(tc_List_Olist(_u16901), tc_List_Olist(_u16901))), tc_fun(tc_List_Olist(_u16901), tc_prod(tc_List_Olist(_u16901), tc_List_Olist(_u16901)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u16901), tc_fun(tc_prod(tc_List_Olist(_u16901), tc_List_Olist(_u16901)), tc_prod(tc_List_Olist(_u16901), tc_List_Olist(_u16901)))), tc_fun(tc_fun(tc_List_Olist(_u16901), tc_prod(tc_List_Olist(_u16901), tc_List_Olist(_u16901))), tc_fun(tc_List_Olist(_u16901), tc_prod(tc_List_Olist(_u16901), tc_List_Olist(_u16901)))), tc_List_Olist(_u16901)), c_COMBS(tc_List_Olist(_u16901), tc_prod(tc_List_Olist(_u16901), tc_List_Olist(_u16901)), tc_prod(tc_List_Olist(_u16901), tc_List_Olist(_u16901)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u16901), tc_prod(tc_List_Olist(_u16901), tc_List_Olist(_u16901))), tc_fun(tc_List_Olist(_u16901), tc_fun(tc_prod(tc_List_Olist(_u16901), tc_List_Olist(_u16901)), tc_prod(tc_List_Olist(_u16901), tc_List_Olist(_u16901)))), tc_List_Olist(_u16901)), hAPP(c_COMBB(tc_prod(tc_List_Olist(_u16901), tc_List_Olist(_u16901)), tc_fun(tc_prod(tc_List_Olist(_u16901), tc_List_Olist(_u16901)), tc_prod(tc_List_Olist(_u16901), tc_List_Olist(_u16901))), tc_List_Olist(_u16901)), hAPP(c_If(tc_prod(tc_List_Olist(_u16901), tc_List_Olist(_u16901))), hAPP(_u16902, _u16903)))), hAPP(hAPP(c_COMBB(tc_List_Olist(_u16901), tc_fun(tc_List_Olist(_u16901), tc_prod(tc_List_Olist(_u16901), tc_List_Olist(_u16901))), tc_List_Olist(_u16901)), c_Product__Type_OPair(tc_List_Olist(_u16901), tc_List_Olist(_u16901))), hAPP(c_List_Olist_OCons(_u16901), _u16903))))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u16901), tc_fun(tc_List_Olist(_u16901), tc_List_Olist(_u16901)), tc_fun(tc_List_Olist(_u16901), tc_prod(tc_List_Olist(_u16901), tc_List_Olist(_u16901)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u16901), tc_prod(tc_List_Olist(_u16901), tc_List_Olist(_u16901))), tc_fun(tc_fun(tc_List_Olist(_u16901), tc_List_Olist(_u16901)), tc_fun(tc_List_Olist(_u16901), tc_prod(tc_List_Olist(_u16901), tc_List_Olist(_u16901)))), tc_List_Olist(_u16901)), c_COMBB(tc_List_Olist(_u16901), tc_prod(tc_List_Olist(_u16901), tc_List_Olist(_u16901)), tc_List_Olist(_u16901))), c_Product__Type_OPair(tc_List_Olist(_u16901), tc_List_Olist(_u16901)))), hAPP(c_List_Olist_OCons(_u16901), _u16903)))), c_List_Opartition(_u16901, _u16902, _u16904))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_partition__filter2 ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_partition__filter2-1, axiom, ( ( hAPP(c_Product__Type_Osnd(tc_List_Olist(_u16905), tc_List_Olist(_u16905)), c_List_Opartition(_u16905, _u16906, _u16907)) = hAPP(c_List_Ofilter(_u16905, hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, _u16905, c_fNot), _u16906)), _u16907)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_partition__set ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_partition__set-1, axiom, ( ( c_List_Opartition(_u16908, _u16909, _u16910) != hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16908), tc_List_Olist(_u16908)), _u16911), _u16912)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16908, tc_HOL_Obool)), hAPP(c_List_Oset(_u16908), _u16911)), hAPP(c_List_Oset(_u16908), _u16912)) = hAPP(c_List_Oset(_u16908), _u16910)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_transpose_Opsimps_I3_J ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_transpose_Opsimps_I3_J-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(_u16913)), c_List_Otranspose__rel(_u16913)), hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u16913)), hAPP(hAPP(c_List_Olist_OCons(_u16913), _u16914), _u16915)), _u16916))) | ( c_List_Otranspose(_u16913, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u16913)), hAPP(hAPP(c_List_Olist_OCons(_u16913), _u16914), _u16915)), _u16916)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u16913)), hAPP(hAPP(c_List_Olist_OCons(_u16913), _u16914), c_List_Oconcat(_u16913, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u16913), tc_List_Olist(_u16913)), c_List_Olist_Olist__case(tc_List_Olist(_u16913), _u16913, c_List_Olist_ONil(_u16913), hAPP(hAPP(c_COMBB(tc_List_Olist(_u16913), tc_fun(tc_List_Olist(_u16913), tc_List_Olist(_u16913)), _u16913), c_COMBK(tc_List_Olist(_u16913), tc_List_Olist(_u16913))), hAPP(hAPP(c_COMBC(_u16913, tc_List_Olist(_u16913), tc_List_Olist(_u16913)), c_List_Olist_OCons(_u16913)), c_List_Olist_ONil(_u16913))))), _u16916)))), c_List_Otranspose(_u16913, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u16913)), _u16915), c_List_Oconcat(tc_List_Olist(_u16913), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u16913), tc_List_Olist(tc_List_Olist(_u16913))), c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(_u16913)), _u16913, c_List_Olist_ONil(tc_List_Olist(_u16913)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u16913), tc_List_Olist(tc_List_Olist(_u16913))), _u16913), hAPP(hAPP(c_COMBC(tc_List_Olist(_u16913), tc_List_Olist(tc_List_Olist(_u16913)), tc_List_Olist(tc_List_Olist(_u16913))), c_List_Olist_OCons(tc_List_Olist(_u16913))), c_List_Olist_ONil(tc_List_Olist(_u16913)))))), _u16916)))))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_upd__conv__take__nth__drop ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_upd__conv__take__nth__drop-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16917), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16918)), _u16919))) | ( hAPP(hAPP(c_List_Olist__update(_u16918, _u16919), _u16917), _u16920) = hAPP(hAPP(c_List_Oappend(_u16918), hAPP(hAPP(c_List_Otake(_u16918), _u16917), _u16919)), hAPP(hAPP(c_List_Olist_OCons(_u16918), _u16920), hAPP(hAPP(c_List_Odrop(_u16918), hAPP(c_Nat_OSuc, _u16917)), _u16919)))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_drop__1__Cons ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_drop__1__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u16921), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(hAPP(c_List_Olist_OCons(_u16921), _u16922), _u16923)) = _u16923) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_drop__Suc__Cons ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_drop__Suc__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u16924), hAPP(c_Nat_OSuc, _u16925)), hAPP(hAPP(c_List_Olist_OCons(_u16924), _u16926), _u16927)) = hAPP(hAPP(c_List_Odrop(_u16924), _u16925), _u16927)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_nth__via__drop ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_nth__via__drop-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u16928), _u16929), _u16930) != hAPP(hAPP(c_List_Olist_OCons(_u16928), _u16931), _u16932)) | ( hAPP(hAPP(c_List_Onth(_u16928), _u16930), _u16929) = _u16931) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_drop__take ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_drop__take-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u16933), _u16934), hAPP(hAPP(c_List_Otake(_u16933), _u16935), _u16936)) = hAPP(hAPP(c_List_Otake(_u16933), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16935), _u16934)), hAPP(hAPP(c_List_Odrop(_u16933), _u16934), _u16936))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_take__drop ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_take__drop-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u16937), _u16938), hAPP(hAPP(c_List_Odrop(_u16937), _u16939), _u16940)) = hAPP(hAPP(c_List_Odrop(_u16937), _u16939), hAPP(hAPP(c_List_Otake(_u16937), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16938), _u16939)), _u16940))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_distinct__drop ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_distinct__drop-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16941), _u16942)) | hBOOL(hAPP(c_List_Odistinct(_u16941), hAPP(hAPP(c_List_Odrop(_u16941), _u16943), _u16942))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_drop__zip ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_drop__zip-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(tc_prod(_u16944, _u16945)), _u16946), hAPP(hAPP(c_List_Ozip(_u16944, _u16945), _u16947), _u16948)) = hAPP(hAPP(c_List_Ozip(_u16944, _u16945), hAPP(hAPP(c_List_Odrop(_u16944), _u16946), _u16947)), hAPP(hAPP(c_List_Odrop(_u16945), _u16946), _u16948))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_butlast__drop ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_butlast__drop-1, axiom, ( ( c_List_Obutlast(_u16949, hAPP(hAPP(c_List_Odrop(_u16949), _u16950), _u16951)) = hAPP(hAPP(c_List_Odrop(_u16949), _u16950), c_List_Obutlast(_u16949, _u16951))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_drop__butlast ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_drop__butlast-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u16952), _u16953), c_List_Obutlast(_u16952, _u16954)) = c_List_Obutlast(_u16952, hAPP(hAPP(c_List_Odrop(_u16952), _u16953), _u16954))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_drop__drop ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_drop__drop-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u16955), _u16956), hAPP(hAPP(c_List_Odrop(_u16955), _u16957), _u16958)) = hAPP(hAPP(c_List_Odrop(_u16955), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16956), _u16957)), _u16958)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_drop__0 ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_drop__0-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u16959), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u16960) = _u16960) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_in__set__dropD ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_in__set__dropD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u16961), _u16962), hAPP(c_List_Oset(_u16961), hAPP(hAPP(c_List_Odrop(_u16961), _u16963), _u16964)))) | hBOOL(hAPP(hAPP(c_member(_u16961), _u16962), hAPP(c_List_Oset(_u16961), _u16964))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_length__drop ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_length__drop-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16965)), hAPP(hAPP(c_List_Odrop(_u16965), _u16966), _u16967)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16965)), _u16967)), _u16966)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_set__drop__subset ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_set__drop__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16968, tc_HOL_Obool)), hAPP(c_List_Oset(_u16968), hAPP(hAPP(c_List_Odrop(_u16968), _u16969), _u16970))), hAPP(c_List_Oset(_u16968), _u16970))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_drop__upt ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_drop__upt-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(tc_Nat_Onat), _u16971), c_List_Oupt(_u16972, _u16973)) = c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16972), _u16971), _u16973)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_drop__Nil ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_drop__Nil-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u16974), _u16975), c_List_Olist_ONil(_u16974)) = c_List_Olist_ONil(_u16974)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_drop__map ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_drop__map-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u16976), _u16977), hAPP(hAPP(c_List_Omap(_u16978, _u16976), _u16979), _u16980)) = hAPP(hAPP(c_List_Omap(_u16978, _u16976), _u16979), hAPP(hAPP(c_List_Odrop(_u16978), _u16977), _u16980))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_append__take__drop__id ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_append__take__drop__id-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16981), hAPP(hAPP(c_List_Otake(_u16981), _u16982), _u16983)), hAPP(hAPP(c_List_Odrop(_u16981), _u16982), _u16983)) = _u16983) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_concat_Osimps_I1_J ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_concat_Osimps_I1_J-1, axiom, ( ( c_List_Oconcat(_u16984, c_List_Olist_ONil(tc_List_Olist(_u16984))) = c_List_Olist_ONil(_u16984)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_concat_Osimps_I2_J ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_concat_Osimps_I2_J-1, axiom, ( ( c_List_Oconcat(_u16985, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u16985)), _u16986), _u16987)) = hAPP(hAPP(c_List_Oappend(_u16985), _u16986), c_List_Oconcat(_u16985, _u16987))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_Nil__eq__concat__conv ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_Nil__eq__concat__conv-1, axiom, ( ( c_List_Olist_ONil(_u16992) != c_List_Oconcat(_u16992, _u16994)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16992)), _u16988), hAPP(c_List_Oset(tc_List_Olist(_u16992)), _u16994))) | ( _u16988 = c_List_Olist_ONil(_u16992)) )).
% 39.89/40.10 cnf(fact_Nil__eq__concat__conv-2, axiom, ( ( c_List_Olist_ONil(_u16993) = c_List_Oconcat(_u16993, _u16995)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16993)), skolem400(_u16995, _u16993)), hAPP(c_List_Oset(tc_List_Olist(_u16993)), _u16995))) )).
% 39.89/40.10 cnf(fact_Nil__eq__concat__conv-3, axiom, ( ( c_List_Olist_ONil(_u16993) = c_List_Oconcat(_u16993, _u16995)) | ( skolem400(_u16995, _u16993) != c_List_Olist_ONil(_u16993)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_concat__eq__Nil__conv ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_concat__eq__Nil__conv-1, axiom, ( ( c_List_Oconcat(_u17000, _u17002) != c_List_Olist_ONil(_u17000)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17000)), _u16996), hAPP(c_List_Oset(tc_List_Olist(_u17000)), _u17002))) | ( _u16996 = c_List_Olist_ONil(_u17000)) )).
% 39.89/40.10 cnf(fact_concat__eq__Nil__conv-2, axiom, ( ( c_List_Oconcat(_u17001, _u17003) = c_List_Olist_ONil(_u17001)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17001)), skolem401(_u17003, _u17001)), hAPP(c_List_Oset(tc_List_Olist(_u17001)), _u17003))) )).
% 39.89/40.10 cnf(fact_concat__eq__Nil__conv-3, axiom, ( ( c_List_Oconcat(_u17001, _u17003) = c_List_Olist_ONil(_u17001)) | ( skolem401(_u17003, _u17001) != c_List_Olist_ONil(_u17001)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_map__concat ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_map__concat-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17004, _u17005), _u17006), c_List_Oconcat(_u17004, _u17007)) = c_List_Oconcat(_u17005, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17004), tc_List_Olist(_u17005)), hAPP(c_List_Omap(_u17004, _u17005), _u17006)), _u17007))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_filter__concat ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_filter__concat-1, axiom, ( ( hAPP(c_List_Ofilter(_u17008, _u17009), c_List_Oconcat(_u17008, _u17010)) = c_List_Oconcat(_u17008, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17008), tc_List_Olist(_u17008)), c_List_Ofilter(_u17008, _u17009)), _u17010))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_set__drop__subset__set__drop ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_set__drop__subset__set__drop-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17011), _u17012)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17013, tc_HOL_Obool)), hAPP(c_List_Oset(_u17013), hAPP(hAPP(c_List_Odrop(_u17013), _u17012), _u17014))), hAPP(c_List_Oset(_u17013), hAPP(hAPP(c_List_Odrop(_u17013), _u17011), _u17014)))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_drop__eq__Nil ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_drop__eq__Nil-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u17018), _u17020), _u17022) != c_List_Olist_ONil(_u17018)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17018)), _u17022)), _u17020)) )).
% 39.89/40.10 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(_u17019)), _u17023)), _u17021)) | ( hAPP(hAPP(c_List_Odrop(_u17019), _u17021), _u17023) = c_List_Olist_ONil(_u17019)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_drop__all ( axiom ) converted to clauses:
% 39.89/40.10 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(_u17024)), _u17025)), _u17026)) | ( hAPP(hAPP(c_List_Odrop(_u17024), _u17026), _u17025) = c_List_Olist_ONil(_u17024)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_drop__append ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_drop__append-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u17027), _u17028), hAPP(hAPP(c_List_Oappend(_u17027), _u17029), _u17030)) = hAPP(hAPP(c_List_Oappend(_u17027), hAPP(hAPP(c_List_Odrop(_u17027), _u17028), _u17029)), hAPP(hAPP(c_List_Odrop(_u17027), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u17028), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17027)), _u17029))), _u17030))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_append__eq__conv__conj ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_append__eq__conv__conj-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u17035), _u17037), _u17039) != _u17041) | ( _u17037 = hAPP(hAPP(c_List_Otake(_u17035), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17035)), _u17037)), _u17041)) )).
% 39.89/40.10 cnf(fact_append__eq__conv__conj-2, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u17035), _u17037), _u17039) != _u17041) | ( _u17039 = hAPP(hAPP(c_List_Odrop(_u17035), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17035)), _u17037)), _u17041)) )).
% 39.89/40.10 cnf(fact_append__eq__conv__conj-3, axiom, ( ( _u17038 != hAPP(hAPP(c_List_Otake(_u17036), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17036)), _u17038)), _u17042)) | ( _u17040 != hAPP(hAPP(c_List_Odrop(_u17036), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17036)), _u17038)), _u17042)) | ( hAPP(hAPP(c_List_Oappend(_u17036), _u17038), _u17040) = _u17042) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_length__concat ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_length__concat-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17043)), c_List_Oconcat(_u17043, _u17044)) = hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17043), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u17043))), _u17044))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_drop__Cons ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_drop__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u17045), _u17046), hAPP(hAPP(c_List_Olist_OCons(_u17045), _u17047), _u17048)) = c_Nat_Onat_Onat__case(tc_List_Olist(_u17045), hAPP(hAPP(c_List_Olist_OCons(_u17045), _u17047), _u17048), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(_u17045), tc_List_Olist(_u17045)), c_List_Odrop(_u17045)), _u17048), _u17046)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_set__concat ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_set__concat-1, axiom, ( ( hAPP(c_List_Oset(_u17049), c_List_Oconcat(_u17049, _u17050)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(_u17049), tc_fun(_u17049, tc_HOL_Obool)), hAPP(c_List_Oset(tc_List_Olist(_u17049)), _u17050)), c_List_Oset(_u17049))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_concat__append ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_concat__append-1, axiom, ( ( c_List_Oconcat(_u17051, hAPP(hAPP(c_List_Oappend(tc_List_Olist(_u17051)), _u17052), _u17053)) = hAPP(hAPP(c_List_Oappend(_u17051), c_List_Oconcat(_u17051, _u17052)), c_List_Oconcat(_u17051, _u17053))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_drop__Cons_H ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_drop__Cons_H-1, axiom, ( ( _u17058 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u17060), _u17058), hAPP(hAPP(c_List_Olist_OCons(_u17060), _u17062), _u17064)) = hAPP(hAPP(c_List_Olist_OCons(_u17060), _u17062), _u17064)) )).
% 39.89/40.10 cnf(fact_drop__Cons_H-2, axiom, ( ( _u17059 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u17061), _u17059), hAPP(hAPP(c_List_Olist_OCons(_u17061), _u17063), _u17065)) = hAPP(hAPP(c_List_Odrop(_u17061), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u17059), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u17065)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_nth__drop ( axiom ) converted to clauses:
% 39.89/40.10 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), _u17066), _u17067)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17068)), _u17069))) | ( hAPP(hAPP(c_List_Onth(_u17068), hAPP(hAPP(c_List_Odrop(_u17068), _u17066), _u17069)), _u17067) = hAPP(hAPP(c_List_Onth(_u17068), _u17069), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17066), _u17067))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_append__eq__append__conv__if ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_append__eq__append__conv__if-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u17075), _u17077), _u17079) != hAPP(hAPP(c_List_Oappend(_u17075), _u17081), _u17083)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17075)), _u17077)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17075)), _u17081))) | ( _u17077 = hAPP(hAPP(c_List_Otake(_u17075), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17075)), _u17077)), _u17081)) )).
% 39.89/40.10 cnf(fact_append__eq__append__conv__if-2, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u17075), _u17077), _u17079) != hAPP(hAPP(c_List_Oappend(_u17075), _u17081), _u17083)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17075)), _u17077)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17075)), _u17081))) | ( _u17079 = hAPP(hAPP(c_List_Oappend(_u17075), hAPP(hAPP(c_List_Odrop(_u17075), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17075)), _u17077)), _u17081)), _u17083)) )).
% 39.89/40.10 cnf(fact_append__eq__append__conv__if-3, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u17075), _u17077), _u17079) != hAPP(hAPP(c_List_Oappend(_u17075), _u17081), _u17083)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17075)), _u17077)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17075)), _u17081))) | ( hAPP(hAPP(c_List_Otake(_u17075), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17075)), _u17081)), _u17077) = _u17081) )).
% 39.89/40.10 cnf(fact_append__eq__append__conv__if-4, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u17075), _u17077), _u17079) != hAPP(hAPP(c_List_Oappend(_u17075), _u17081), _u17083)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17075)), _u17077)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17075)), _u17081))) | ( hAPP(hAPP(c_List_Oappend(_u17075), hAPP(hAPP(c_List_Odrop(_u17075), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17075)), _u17081)), _u17077)), _u17079) = _u17083) )).
% 39.89/40.10 cnf(fact_append__eq__append__conv__if-5, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u17076), _u17078), _u17080) = hAPP(hAPP(c_List_Oappend(_u17076), _u17082), _u17084)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17076)), _u17078)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17076)), _u17082))) | ( hAPP(hAPP(c_List_Otake(_u17076), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17076)), _u17082)), _u17078) != _u17082) | ( hAPP(hAPP(c_List_Oappend(_u17076), hAPP(hAPP(c_List_Odrop(_u17076), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17076)), _u17082)), _u17078)), _u17080) != _u17084) )).
% 39.89/40.10 cnf(fact_append__eq__append__conv__if-6, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u17076), _u17078), _u17080) = hAPP(hAPP(c_List_Oappend(_u17076), _u17082), _u17084)) | ( _u17078 != hAPP(hAPP(c_List_Otake(_u17076), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17076)), _u17078)), _u17082)) | ( _u17080 != hAPP(hAPP(c_List_Oappend(_u17076), hAPP(hAPP(c_List_Odrop(_u17076), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17076)), _u17078)), _u17082)), _u17084)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17076)), _u17078)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17076)), _u17082))) )).
% 39.89/40.10 cnf(fact_append__eq__append__conv__if-7, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u17076), _u17078), _u17080) = hAPP(hAPP(c_List_Oappend(_u17076), _u17082), _u17084)) | ( _u17078 != hAPP(hAPP(c_List_Otake(_u17076), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17076)), _u17078)), _u17082)) | ( _u17080 != hAPP(hAPP(c_List_Oappend(_u17076), hAPP(hAPP(c_List_Odrop(_u17076), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17076)), _u17078)), _u17082)), _u17084)) | ( hAPP(hAPP(c_List_Otake(_u17076), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17076)), _u17082)), _u17078) != _u17082) | ( hAPP(hAPP(c_List_Oappend(_u17076), hAPP(hAPP(c_List_Odrop(_u17076), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17076)), _u17082)), _u17078)), _u17080) != _u17084) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_nth__drop_H ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_nth__drop_H-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17085), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17086)), _u17087))) | ( hAPP(hAPP(c_List_Olist_OCons(_u17086), hAPP(hAPP(c_List_Onth(_u17086), _u17087), _u17085)), hAPP(hAPP(c_List_Odrop(_u17086), hAPP(c_Nat_OSuc, _u17085)), _u17087)) = hAPP(hAPP(c_List_Odrop(_u17086), _u17085), _u17087)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_transpose_Osimps_I3_J ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_transpose_Osimps_I3_J-1, axiom, ( ( c_List_Otranspose(_u17088, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17088)), hAPP(hAPP(c_List_Olist_OCons(_u17088), _u17089), _u17090)), _u17091)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17088)), hAPP(hAPP(c_List_Olist_OCons(_u17088), _u17089), c_List_Oconcat(_u17088, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17088), tc_List_Olist(_u17088)), c_List_Olist_Olist__case(tc_List_Olist(_u17088), _u17088, c_List_Olist_ONil(_u17088), hAPP(hAPP(c_COMBB(tc_List_Olist(_u17088), tc_fun(tc_List_Olist(_u17088), tc_List_Olist(_u17088)), _u17088), c_COMBK(tc_List_Olist(_u17088), tc_List_Olist(_u17088))), hAPP(hAPP(c_COMBC(_u17088, tc_List_Olist(_u17088), tc_List_Olist(_u17088)), c_List_Olist_OCons(_u17088)), c_List_Olist_ONil(_u17088))))), _u17091)))), c_List_Otranspose(_u17088, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17088)), _u17090), c_List_Oconcat(tc_List_Olist(_u17088), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17088), tc_List_Olist(tc_List_Olist(_u17088))), c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(_u17088)), _u17088, c_List_Olist_ONil(tc_List_Olist(_u17088)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u17088), tc_List_Olist(tc_List_Olist(_u17088))), _u17088), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17088), tc_List_Olist(tc_List_Olist(_u17088)), tc_List_Olist(tc_List_Olist(_u17088))), c_List_Olist_OCons(tc_List_Olist(_u17088))), c_List_Olist_ONil(tc_List_Olist(_u17088)))))), _u17091)))))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_drop__Cons__number__of ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_drop__Cons__number__of-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17096) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u17098), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17096)), hAPP(hAPP(c_List_Olist_OCons(_u17098), _u17100), _u17102)) = hAPP(hAPP(c_List_Olist_OCons(_u17098), _u17100), _u17102)) )).
% 39.89/40.10 cnf(fact_drop__Cons__number__of-2, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17097) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u17099), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17097)), hAPP(hAPP(c_List_Olist_OCons(_u17099), _u17101), _u17103)) = hAPP(hAPP(c_List_Odrop(_u17099), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17097)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u17103)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_take__add ( axiom ) converted to clauses:
% 39.89/40.10 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), _u17104), _u17105)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17106)), _u17107))) | ( hAPP(hAPP(c_List_Otake(_u17106), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17104), _u17105)), _u17107) = hAPP(hAPP(c_List_Oappend(_u17106), hAPP(hAPP(c_List_Otake(_u17106), _u17104), _u17107)), hAPP(hAPP(c_List_Otake(_u17106), _u17105), hAPP(hAPP(c_List_Odrop(_u17106), _u17104), _u17107)))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_concat__eq__concat__iff ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_concat__eq__concat__iff-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17109), tc_List_Olist(_u17109))), skolem402(_u17111, _u17110, _u17109)), hAPP(c_List_Oset(tc_prod(tc_List_Olist(_u17109), tc_List_Olist(_u17109))), hAPP(hAPP(c_List_Ozip(tc_List_Olist(_u17109), tc_List_Olist(_u17109)), _u17110), _u17111)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17109))), _u17110) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17109))), _u17111)) | ( c_List_Oconcat(_u17109, _u17110) != c_List_Oconcat(_u17109, _u17111)) | ( _u17110 = _u17111) )).
% 39.89/40.10 cnf(fact_concat__eq__concat__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17109), tc_List_Olist(_u17109))), skolem402(_u17111, _u17110, _u17109)), hAPP(c_List_Oset(tc_prod(tc_List_Olist(_u17109), tc_List_Olist(_u17109))), hAPP(hAPP(c_List_Ozip(tc_List_Olist(_u17109), tc_List_Olist(_u17109)), _u17110), _u17111)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17109))), _u17110) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17109))), _u17111)) | ( _u17110 != _u17111) | ( c_List_Oconcat(_u17109, _u17110) = c_List_Oconcat(_u17109, _u17111)) )).
% 39.89/40.10 cnf(fact_concat__eq__concat__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u17109), tc_List_Olist(_u17109), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17109), tc_fun(tc_List_Olist(_u17109), tc_Nat_Onat), tc_fun(tc_List_Olist(_u17109), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u17109), tc_Nat_Onat), tc_fun(tc_List_Olist(_u17109), tc_HOL_Obool)), tc_List_Olist(_u17109)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u17109))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u17109)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u17109))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u17109)))), skolem402(_u17111, _u17110, _u17109))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17109))), _u17110) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17109))), _u17111)) | ( c_List_Oconcat(_u17109, _u17110) != c_List_Oconcat(_u17109, _u17111)) | ( _u17110 = _u17111) )).
% 39.89/40.10 cnf(fact_concat__eq__concat__iff-4, axiom, ( ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u17109), tc_List_Olist(_u17109), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17109), tc_fun(tc_List_Olist(_u17109), tc_Nat_Onat), tc_fun(tc_List_Olist(_u17109), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u17109), tc_Nat_Onat), tc_fun(tc_List_Olist(_u17109), tc_HOL_Obool)), tc_List_Olist(_u17109)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u17109))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u17109)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u17109))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u17109)))), skolem402(_u17111, _u17110, _u17109))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17109))), _u17110) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17109))), _u17111)) | ( _u17110 != _u17111) | ( c_List_Oconcat(_u17109, _u17110) = c_List_Oconcat(_u17109, _u17111)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_concat__injective ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_concat__injective-1, axiom, ( ( c_List_Oconcat(_u17113, _u17114) != c_List_Oconcat(_u17113, _u17115)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17113))), _u17114) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17113))), _u17115)) | ( _u17114 = _u17115) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17113), tc_List_Olist(_u17113))), skolem403(_u17115, _u17114, _u17113)), hAPP(c_List_Oset(tc_prod(tc_List_Olist(_u17113), tc_List_Olist(_u17113))), hAPP(hAPP(c_List_Ozip(tc_List_Olist(_u17113), tc_List_Olist(_u17113)), _u17114), _u17115)))) )).
% 39.89/40.10 cnf(fact_concat__injective-2, axiom, ( ( c_List_Oconcat(_u17113, _u17114) != c_List_Oconcat(_u17113, _u17115)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17113))), _u17114) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17113))), _u17115)) | ( _u17114 = _u17115) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u17113), tc_List_Olist(_u17113), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17113), tc_fun(tc_List_Olist(_u17113), tc_Nat_Onat), tc_fun(tc_List_Olist(_u17113), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u17113), tc_Nat_Onat), tc_fun(tc_List_Olist(_u17113), tc_HOL_Obool)), tc_List_Olist(_u17113)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u17113))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u17113)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u17113))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u17113)))), skolem403(_u17115, _u17114, _u17113))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_concat__map__singleton ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_concat__map__singleton-1, axiom, ( ( c_List_Oconcat(_u17116, hAPP(hAPP(c_List_Omap(_u17117, tc_List_Olist(_u17116)), hAPP(hAPP(c_COMBC(_u17117, tc_List_Olist(_u17116), tc_List_Olist(_u17116)), hAPP(hAPP(c_COMBB(_u17116, tc_fun(tc_List_Olist(_u17116), tc_List_Olist(_u17116)), _u17117), c_List_Olist_OCons(_u17116)), _u17118)), c_List_Olist_ONil(_u17116))), _u17119)) = hAPP(hAPP(c_List_Omap(_u17117, _u17116), _u17118), _u17119)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_zip__append1 ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_zip__append1-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u17120, _u17121), hAPP(hAPP(c_List_Oappend(_u17120), _u17122), _u17123)), _u17124) = hAPP(hAPP(c_List_Oappend(tc_prod(_u17120, _u17121)), hAPP(hAPP(c_List_Ozip(_u17120, _u17121), _u17122), hAPP(hAPP(c_List_Otake(_u17121), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17120)), _u17122)), _u17124))), hAPP(hAPP(c_List_Ozip(_u17120, _u17121), _u17123), hAPP(hAPP(c_List_Odrop(_u17121), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17120)), _u17122)), _u17124)))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_zip__append2 ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_zip__append2-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u17125, _u17126), _u17127), hAPP(hAPP(c_List_Oappend(_u17126), _u17128), _u17129)) = hAPP(hAPP(c_List_Oappend(tc_prod(_u17125, _u17126)), hAPP(hAPP(c_List_Ozip(_u17125, _u17126), hAPP(hAPP(c_List_Otake(_u17125), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17126)), _u17128)), _u17127)), _u17128)), hAPP(hAPP(c_List_Ozip(_u17125, _u17126), hAPP(hAPP(c_List_Odrop(_u17125), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17126)), _u17128)), _u17127)), _u17129))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_n__lists_Osimps_I2_J ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_n__lists_Osimps_I2_J-1, axiom, ( ( c_Enum_On__lists(_u17130, hAPP(c_Nat_OSuc, _u17131), _u17132) = c_List_Oconcat(tc_List_Olist(_u17130), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17130), tc_List_Olist(tc_List_Olist(_u17130))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17130), tc_List_Olist(_u17130), tc_List_Olist(tc_List_Olist(_u17130))), hAPP(hAPP(c_COMBB(tc_fun(_u17130, tc_List_Olist(_u17130)), tc_fun(tc_List_Olist(_u17130), tc_List_Olist(tc_List_Olist(_u17130))), tc_List_Olist(_u17130)), c_List_Omap(_u17130, tc_List_Olist(_u17130))), hAPP(c_COMBC(_u17130, tc_List_Olist(_u17130), tc_List_Olist(_u17130)), c_List_Olist_OCons(_u17130)))), _u17132)), c_Enum_On__lists(_u17130, _u17131, _u17132)))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_id__take__nth__drop ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_id__take__nth__drop-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17133), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17134)), _u17135))) | ( _u17135 = hAPP(hAPP(c_List_Oappend(_u17134), hAPP(hAPP(c_List_Otake(_u17134), _u17133), _u17135)), hAPP(hAPP(c_List_Olist_OCons(_u17134), hAPP(hAPP(c_List_Onth(_u17134), _u17135), _u17133)), hAPP(hAPP(c_List_Odrop(_u17134), hAPP(c_Nat_OSuc, _u17133)), _u17135)))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_transpose__aux__filter__tail ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_transpose__aux__filter__tail-1, axiom, ( ( c_List_Oconcat(tc_List_Olist(_u17136), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17136), tc_List_Olist(tc_List_Olist(_u17136))), c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(_u17136)), _u17136, c_List_Olist_ONil(tc_List_Olist(_u17136)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u17136), tc_List_Olist(tc_List_Olist(_u17136))), _u17136), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17136), tc_List_Olist(tc_List_Olist(_u17136)), tc_List_Olist(tc_List_Olist(_u17136))), c_List_Olist_OCons(tc_List_Olist(_u17136))), c_List_Olist_ONil(tc_List_Olist(_u17136)))))), _u17137)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17136), tc_List_Olist(_u17136)), c_List_Otl(_u17136)), hAPP(c_List_Ofilter(tc_List_Olist(_u17136), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u17136)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17136), tc_List_Olist(_u17136), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u17136)))), _u17137))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_transpose__aux__filter__head ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_transpose__aux__filter__head-1, axiom, ( ( c_List_Oconcat(_u17138, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17138), tc_List_Olist(_u17138)), c_List_Olist_Olist__case(tc_List_Olist(_u17138), _u17138, c_List_Olist_ONil(_u17138), hAPP(hAPP(c_COMBB(tc_List_Olist(_u17138), tc_fun(tc_List_Olist(_u17138), tc_List_Olist(_u17138)), _u17138), c_COMBK(tc_List_Olist(_u17138), tc_List_Olist(_u17138))), hAPP(hAPP(c_COMBC(_u17138, tc_List_Olist(_u17138), tc_List_Olist(_u17138)), c_List_Olist_OCons(_u17138)), c_List_Olist_ONil(_u17138))))), _u17139)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17138), _u17138), c_List_Ohd(_u17138)), hAPP(c_List_Ofilter(tc_List_Olist(_u17138), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u17138)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17138), tc_List_Olist(_u17138), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u17138)))), _u17139))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_drop__tl ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_drop__tl-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u17140), _u17141), hAPP(c_List_Otl(_u17140), _u17142)) = hAPP(c_List_Otl(_u17140), hAPP(hAPP(c_List_Odrop(_u17140), _u17141), _u17142))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_tl__drop ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_tl__drop-1, axiom, ( ( hAPP(c_List_Otl(_u17143), hAPP(hAPP(c_List_Odrop(_u17143), _u17144), _u17145)) = hAPP(hAPP(c_List_Odrop(_u17143), _u17144), hAPP(c_List_Otl(_u17143), _u17145))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_map__tl ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_map__tl-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17146, _u17147), _u17148), hAPP(c_List_Otl(_u17146), _u17149)) = hAPP(c_List_Otl(_u17147), hAPP(hAPP(c_List_Omap(_u17146, _u17147), _u17148), _u17149))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_tl_Osimps_I1_J ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_tl_Osimps_I1_J-1, axiom, ( ( hAPP(c_List_Otl(_u17150), c_List_Olist_ONil(_u17150)) = c_List_Olist_ONil(_u17150)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_distinct__tl ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_distinct__tl-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17151), _u17152)) | hBOOL(hAPP(c_List_Odistinct(_u17151), hAPP(c_List_Otl(_u17151), _u17152))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_hd_Osimps ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_hd_Osimps-1, axiom, ( ( hAPP(c_List_Ohd(_u17153), hAPP(hAPP(c_List_Olist_OCons(_u17153), _u17154), _u17155)) = _u17154) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_tl_Osimps_I2_J ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_tl_Osimps_I2_J-1, axiom, ( ( hAPP(c_List_Otl(_u17156), hAPP(hAPP(c_List_Olist_OCons(_u17156), _u17157), _u17158)) = _u17158) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_take__Suc ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_take__Suc-1, axiom, ( ( _u17159 = c_List_Olist_ONil(_u17160)) | ( hAPP(hAPP(c_List_Otake(_u17160), hAPP(c_Nat_OSuc, _u17161)), _u17159) = hAPP(hAPP(c_List_Olist_OCons(_u17160), hAPP(c_List_Ohd(_u17160), _u17159)), hAPP(hAPP(c_List_Otake(_u17160), _u17161), hAPP(c_List_Otl(_u17160), _u17159)))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_tl__append2 ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_tl__append2-1, axiom, ( ( _u17162 = c_List_Olist_ONil(_u17163)) | ( hAPP(c_List_Otl(_u17163), hAPP(hAPP(c_List_Oappend(_u17163), _u17162), _u17164)) = hAPP(hAPP(c_List_Oappend(_u17163), hAPP(c_List_Otl(_u17163), _u17162)), _u17164)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_rotate1__hd__tl ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_rotate1__hd__tl-1, axiom, ( ( _u17165 = c_List_Olist_ONil(_u17166)) | ( hAPP(c_List_Orotate1(_u17166), _u17165) = hAPP(hAPP(c_List_Oappend(_u17166), hAPP(c_List_Otl(_u17166), _u17165)), hAPP(hAPP(c_List_Olist_OCons(_u17166), hAPP(c_List_Ohd(_u17166), _u17165)), c_List_Olist_ONil(_u17166)))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_take__tl ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_take__tl-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u17167), _u17168), hAPP(c_List_Otl(_u17167), _u17169)) = hAPP(c_List_Otl(_u17167), hAPP(hAPP(c_List_Otake(_u17167), hAPP(c_Nat_OSuc, _u17168)), _u17169))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_drop__Suc ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_drop__Suc-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u17170), hAPP(c_Nat_OSuc, _u17171)), _u17172) = hAPP(hAPP(c_List_Odrop(_u17170), _u17171), hAPP(c_List_Otl(_u17170), _u17172))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_hd__map ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_hd__map-1, axiom, ( ( _u17173 = c_List_Olist_ONil(_u17174)) | ( hAPP(c_List_Ohd(_u17175), hAPP(hAPP(c_List_Omap(_u17174, _u17175), _u17176), _u17173)) = hAPP(_u17176, hAPP(c_List_Ohd(_u17174), _u17173))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_hd__append ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_hd__append-1, axiom, ( ( _u17180 != c_List_Olist_ONil(_u17182)) | ( hAPP(c_List_Ohd(_u17182), hAPP(hAPP(c_List_Oappend(_u17182), _u17180), _u17184)) = hAPP(c_List_Ohd(_u17182), _u17184)) )).
% 39.89/40.10 cnf(fact_hd__append-2, axiom, ( ( _u17181 = c_List_Olist_ONil(_u17183)) | ( hAPP(c_List_Ohd(_u17183), hAPP(hAPP(c_List_Oappend(_u17183), _u17181), _u17185)) = hAPP(c_List_Ohd(_u17183), _u17181)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_hd__append2 ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_hd__append2-1, axiom, ( ( _u17186 = c_List_Olist_ONil(_u17187)) | ( hAPP(c_List_Ohd(_u17187), hAPP(hAPP(c_List_Oappend(_u17187), _u17186), _u17188)) = hAPP(c_List_Ohd(_u17187), _u17186)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_hd__upt ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_hd__upt-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17189), _u17190)) | ( hAPP(c_List_Ohd(tc_Nat_Onat), c_List_Oupt(_u17189, _u17190)) = _u17189) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_tl__append ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_tl__append-1, axiom, ( ( hAPP(c_List_Otl(_u17191), hAPP(hAPP(c_List_Oappend(_u17191), _u17192), _u17193)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(_u17191), _u17191, hAPP(c_List_Otl(_u17191), _u17193), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u17191), tc_List_Olist(_u17191)), _u17191), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17191), tc_List_Olist(_u17191), tc_List_Olist(_u17191)), c_List_Oappend(_u17191)), _u17193))), _u17192)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_length__tl ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_length__tl-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17194)), hAPP(c_List_Otl(_u17194), _u17195)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17194)), _u17195)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_hd__in__set ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_hd__in__set-1, axiom, ( ( _u17196 = c_List_Olist_ONil(_u17197)) | hBOOL(hAPP(hAPP(c_member(_u17197), hAPP(c_List_Ohd(_u17197), _u17196)), hAPP(c_List_Oset(_u17197), _u17196))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_tl__take ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_tl__take-1, axiom, ( ( hAPP(c_List_Otl(_u17198), hAPP(hAPP(c_List_Otake(_u17198), _u17199), _u17200)) = hAPP(hAPP(c_List_Otake(_u17198), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u17199), c_Groups_Oone__class_Oone(tc_Nat_Onat))), hAPP(c_List_Otl(_u17198), _u17200))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_hd__conv__nth ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_hd__conv__nth-1, axiom, ( ( _u17201 = c_List_Olist_ONil(_u17202)) | ( hAPP(c_List_Ohd(_u17202), _u17201) = hAPP(hAPP(c_List_Onth(_u17202), _u17201), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_hd__drop__conv__nth ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_hd__drop__conv__nth-1, axiom, ( ( _u17203 = c_List_Olist_ONil(_u17204)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17205), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17204)), _u17203))) | ( hAPP(c_List_Ohd(_u17204), hAPP(hAPP(c_List_Odrop(_u17204), _u17205), _u17203)) = hAPP(hAPP(c_List_Onth(_u17204), _u17203), _u17205)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_take__hd__drop ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_take__hd__drop-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17206), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17207)), _u17208))) | ( hAPP(hAPP(c_List_Oappend(_u17207), hAPP(hAPP(c_List_Otake(_u17207), _u17206), _u17208)), hAPP(hAPP(c_List_Olist_OCons(_u17207), hAPP(c_List_Ohd(_u17207), hAPP(hAPP(c_List_Odrop(_u17207), _u17206), _u17208))), c_List_Olist_ONil(_u17207))) = hAPP(hAPP(c_List_Otake(_u17207), hAPP(c_Nat_OSuc, _u17206)), _u17208)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_length__remdups__concat ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_length__remdups__concat-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17209)), c_List_Oremdups(_u17209, c_List_Oconcat(_u17209, _u17210))) = hAPP(c_Finite__Set_Ocard(_u17209), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(_u17209), tc_fun(_u17209, tc_HOL_Obool)), hAPP(c_List_Oset(tc_List_Olist(_u17209)), _u17210)), c_List_Oset(_u17209)))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_fold1__set ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_fold1__set-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u17211) | ( _u17212 = c_List_Olist_ONil(_u17211)) | ( hAPP(c_Finite__Set_Ofold1(_u17211, c_Groups_Otimes__class_Otimes(_u17211)), hAPP(c_List_Oset(_u17211), _u17212)) = hAPP(c_List_Ofoldl(_u17211, _u17211, c_Groups_Otimes__class_Otimes(_u17211), hAPP(c_List_Ohd(_u17211), _u17212)), hAPP(c_List_Otl(_u17211), _u17212))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_distinct__remdups ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_distinct__remdups-1, axiom, ( hBOOL(hAPP(c_List_Odistinct(_u17213), c_List_Oremdups(_u17213, _u17214))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_length__remdups__leq ( axiom ) converted to clauses:
% 39.89/40.10 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(_u17215)), c_List_Oremdups(_u17215, _u17216))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17215)), _u17216))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_foldl__map ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_foldl__map-1, axiom, ( ( hAPP(c_List_Ofoldl(_u17217, _u17218, _u17219, _u17220), hAPP(hAPP(c_List_Omap(_u17221, _u17218), _u17222), _u17223)) = hAPP(c_List_Ofoldl(_u17217, _u17221, hAPP(hAPP(c_COMBC(_u17217, tc_fun(_u17221, _u17218), tc_fun(_u17221, _u17217)), hAPP(hAPP(c_COMBB(tc_fun(_u17218, _u17217), tc_fun(tc_fun(_u17221, _u17218), tc_fun(_u17221, _u17217)), _u17217), c_COMBB(_u17218, _u17217, _u17221)), _u17219)), _u17222), _u17220), _u17223)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_remdups__map__remdups ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_remdups__map__remdups-1, axiom, ( ( c_List_Oremdups(_u17224, hAPP(hAPP(c_List_Omap(_u17225, _u17224), _u17226), c_List_Oremdups(_u17225, _u17227))) = c_List_Oremdups(_u17224, hAPP(hAPP(c_List_Omap(_u17225, _u17224), _u17226), _u17227))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_set__remdups ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_set__remdups-1, axiom, ( ( hAPP(c_List_Oset(_u17228), c_List_Oremdups(_u17228, _u17229)) = hAPP(c_List_Oset(_u17228), _u17229)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_foldl__Cons ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_foldl__Cons-1, axiom, ( ( hAPP(c_List_Ofoldl(_u17230, _u17231, _u17232, _u17233), hAPP(hAPP(c_List_Olist_OCons(_u17231), _u17234), _u17235)) = hAPP(c_List_Ofoldl(_u17230, _u17231, _u17232, hAPP(hAPP(_u17232, _u17233), _u17234)), _u17235)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_distinct__remdups__id ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_distinct__remdups__id-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17236), _u17237)) | ( c_List_Oremdups(_u17236, _u17237) = _u17237) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_remdups__id__iff__distinct ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_remdups__id__iff__distinct-1, axiom, ( ( c_List_Oremdups(_u17240, _u17242) != _u17242) | hBOOL(hAPP(c_List_Odistinct(_u17240), _u17242)) )).
% 39.89/40.10 cnf(fact_remdups__id__iff__distinct-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17241), _u17243)) | ( c_List_Oremdups(_u17241, _u17243) = _u17243) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_remdups__filter ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_remdups__filter-1, axiom, ( ( c_List_Oremdups(_u17244, hAPP(c_List_Ofilter(_u17244, _u17245), _u17246)) = hAPP(c_List_Ofilter(_u17244, _u17245), c_List_Oremdups(_u17244, _u17246))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_foldr__conv__foldl ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_foldr__conv__foldl-1, axiom, ( ~class_Groups_Oab__semigroup__add(_u17247) | ( c_List_Ofoldr(_u17247, _u17247, c_Groups_Oplus__class_Oplus(_u17247), _u17248, _u17249) = hAPP(c_List_Ofoldl(_u17247, _u17247, c_Groups_Oplus__class_Oplus(_u17247), _u17249), _u17248)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_start__le__sum ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_start__le__sum-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17250), _u17251)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17250), hAPP(c_List_Ofoldl(tc_Nat_Onat, tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17251), _u17252))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_foldl__absorb0 ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_foldl__absorb0-1, axiom, ( ~class_Groups_Omonoid__add(_u17253) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u17253), _u17254), hAPP(c_List_Ofoldl(_u17253, _u17253, c_Groups_Oplus__class_Oplus(_u17253), c_Groups_Ozero__class_Ozero(_u17253)), _u17255)) = hAPP(c_List_Ofoldl(_u17253, _u17253, c_Groups_Oplus__class_Oplus(_u17253), _u17254), _u17255)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_foldl__assoc ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_foldl__assoc-1, axiom, ( ~class_Groups_Osemigroup__add(_u17256) | ( hAPP(c_List_Ofoldl(_u17256, _u17256, c_Groups_Oplus__class_Oplus(_u17256), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u17256), _u17257), _u17258)), _u17259) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u17256), _u17257), hAPP(c_List_Ofoldl(_u17256, _u17256, c_Groups_Oplus__class_Oplus(_u17256), _u17258), _u17259))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_remdups__remdups ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_remdups__remdups-1, axiom, ( ( c_List_Oremdups(_u17260, c_List_Oremdups(_u17260, _u17261)) = c_List_Oremdups(_u17260, _u17261)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_length__remdups__eq ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_length__remdups__eq-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17264)), c_List_Oremdups(_u17264, _u17266)) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17264)), _u17266)) | ( c_List_Oremdups(_u17264, _u17266) = _u17266) )).
% 39.89/40.10 cnf(fact_length__remdups__eq-2, axiom, ( ( c_List_Oremdups(_u17265, _u17267) != _u17267) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17265)), c_List_Oremdups(_u17265, _u17267)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17265)), _u17267)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_foldl__Nil ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_foldl__Nil-1, axiom, ( ( hAPP(c_List_Ofoldl(_u17268, _u17269, _u17270, _u17271), c_List_Olist_ONil(_u17269)) = _u17271) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_remdups__eq__nil__iff ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_remdups__eq__nil__iff-1, axiom, ( ( c_List_Oremdups(_u17274, _u17276) != c_List_Olist_ONil(_u17274)) | ( _u17276 = c_List_Olist_ONil(_u17274)) )).
% 39.89/40.10 cnf(fact_remdups__eq__nil__iff-2, axiom, ( ( _u17277 != c_List_Olist_ONil(_u17275)) | ( c_List_Oremdups(_u17275, _u17277) = c_List_Olist_ONil(_u17275)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_remdups__eq__nil__right__iff ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_remdups__eq__nil__right__iff-1, axiom, ( ( c_List_Olist_ONil(_u17280) != c_List_Oremdups(_u17280, _u17282)) | ( _u17282 = c_List_Olist_ONil(_u17280)) )).
% 39.89/40.10 cnf(fact_remdups__eq__nil__right__iff-2, axiom, ( ( _u17283 != c_List_Olist_ONil(_u17281)) | ( c_List_Olist_ONil(_u17281) = c_List_Oremdups(_u17281, _u17283)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_remdups_Osimps_I1_J ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_remdups_Osimps_I1_J-1, axiom, ( ( c_List_Oremdups(_u17284, c_List_Olist_ONil(_u17284)) = c_List_Olist_ONil(_u17284)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_foldl__append ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_foldl__append-1, axiom, ( ( hAPP(c_List_Ofoldl(_u17285, _u17286, _u17287, _u17288), hAPP(hAPP(c_List_Oappend(_u17286), _u17289), _u17290)) = hAPP(c_List_Ofoldl(_u17285, _u17286, _u17287, hAPP(c_List_Ofoldl(_u17285, _u17286, _u17287, _u17288), _u17289)), _u17290)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_foldl__conv__concat ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_foldl__conv__concat-1, axiom, ( ( hAPP(c_List_Ofoldl(tc_List_Olist(_u17291), tc_List_Olist(_u17291), c_List_Oappend(_u17291), _u17292), _u17293) = hAPP(hAPP(c_List_Oappend(_u17291), _u17292), c_List_Oconcat(_u17291, _u17293))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_remove1__remdups ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_remove1__remdups-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17294), _u17295)) | ( c_List_Oremove1(_u17294, _u17296, c_List_Oremdups(_u17294, _u17295)) = c_List_Oremdups(_u17294, c_List_Oremove1(_u17294, _u17296, _u17295))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_listsum__foldl ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_listsum__foldl-1, axiom, ( ~class_Groups_Omonoid__add(_u17297) | ( c_List_Omonoid__add__class_Olistsum(_u17297) = c_List_Ofoldl(_u17297, _u17297, c_Groups_Oplus__class_Oplus(_u17297), c_Groups_Ozero__class_Ozero(_u17297))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_concat__conv__foldl ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_concat__conv__foldl-1, axiom, ( ( c_List_Oconcat(_u17298, _u17299) = hAPP(c_List_Ofoldl(tc_List_Olist(_u17298), tc_List_Olist(_u17298), c_List_Oappend(_u17298), c_List_Olist_ONil(_u17298)), _u17299)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_foldl__foldr1__lemma ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_foldl__foldr1__lemma-1, axiom, ( ~class_Groups_Omonoid__add(_u17300) | ( hAPP(c_List_Ofoldl(_u17300, _u17300, c_Groups_Oplus__class_Oplus(_u17300), _u17301), _u17302) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u17300), _u17301), c_List_Ofoldr(_u17300, _u17300, c_Groups_Oplus__class_Oplus(_u17300), _u17302, c_Groups_Ozero__class_Ozero(_u17300)))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_foldl__foldr1 ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_foldl__foldr1-1, axiom, ( ~class_Groups_Omonoid__add(_u17303) | ( hAPP(c_List_Ofoldl(_u17303, _u17303, c_Groups_Oplus__class_Oplus(_u17303), c_Groups_Ozero__class_Ozero(_u17303)), _u17304) = c_List_Ofoldr(_u17303, _u17303, c_Groups_Oplus__class_Oplus(_u17303), _u17304, c_Groups_Ozero__class_Ozero(_u17303))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_sum__eq__0__conv ( axiom ) converted to clauses:
% 39.89/40.10 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), _u17309), _u17311) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u17309 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.10 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), _u17309), _u17311) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u17305), hAPP(c_List_Oset(tc_Nat_Onat), _u17311))) | ( _u17305 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.10 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), _u17310), _u17312) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u17310 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem404(_u17312, _u17310)), hAPP(c_List_Oset(tc_Nat_Onat), _u17312))) )).
% 39.89/40.10 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), _u17310), _u17312) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u17310 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( skolem404(_u17312, _u17310) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_remdups_Osimps_I2_J ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_remdups_Osimps_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u17316), _u17318), hAPP(c_List_Oset(_u17316), _u17320))) | ( c_List_Oremdups(_u17316, hAPP(hAPP(c_List_Olist_OCons(_u17316), _u17318), _u17320)) = c_List_Oremdups(_u17316, _u17320)) )).
% 39.89/40.10 cnf(fact_remdups_Osimps_I2_J-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u17317), _u17319), hAPP(c_List_Oset(_u17317), _u17321))) | ( c_List_Oremdups(_u17317, hAPP(hAPP(c_List_Olist_OCons(_u17317), _u17319), _u17321)) = hAPP(hAPP(c_List_Olist_OCons(_u17317), _u17319), c_List_Oremdups(_u17317, _u17321))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_length__remdups__card__conv ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_length__remdups__card__conv-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17322)), c_List_Oremdups(_u17322, _u17323)) = hAPP(c_Finite__Set_Ocard(_u17322), hAPP(c_List_Oset(_u17322), _u17323))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_Sup__set__fold ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_Sup__set__fold-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17324) | ( c_Complete__Lattice_OSup__class_OSup(_u17324, hAPP(c_List_Oset(_u17324), _u17325)) = hAPP(c_List_Ofoldl(_u17324, _u17324, c_Lattices_Osemilattice__sup__class_Osup(_u17324), c_Orderings_Obot__class_Obot(_u17324)), _u17325)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_Sup__fin__set__fold ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_Sup__fin__set__fold-1, axiom, ( ~class_Lattices_Olattice(_u17326) | ( c_Big__Operators_Olattice__class_OSup__fin(_u17326, hAPP(c_List_Oset(_u17326), hAPP(hAPP(c_List_Olist_OCons(_u17326), _u17327), _u17328))) = hAPP(c_List_Ofoldl(_u17326, _u17326, c_Lattices_Osemilattice__sup__class_Osup(_u17326), _u17327), _u17328)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_Inf__fin__set__fold ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_Inf__fin__set__fold-1, axiom, ( ~class_Lattices_Olattice(_u17329) | ( c_Big__Operators_Olattice__class_OInf__fin(_u17329, hAPP(c_List_Oset(_u17329), hAPP(hAPP(c_List_Olist_OCons(_u17329), _u17330), _u17331))) = hAPP(c_List_Ofoldl(_u17329, _u17329, c_Lattices_Osemilattice__inf__class_Oinf(_u17329), _u17330), _u17331)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_Min__fin__set__fold ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_Min__fin__set__fold-1, axiom, ( ~class_Orderings_Olinorder(_u17332) | ( c_Big__Operators_Olinorder__class_OMin(_u17332, hAPP(c_List_Oset(_u17332), hAPP(hAPP(c_List_Olist_OCons(_u17332), _u17333), _u17334))) = hAPP(c_List_Ofoldl(_u17332, _u17332, c_Orderings_Oord__class_Omin(_u17332), _u17333), _u17334)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_Max__fin__set__fold ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_Max__fin__set__fold-1, axiom, ( ~class_Orderings_Olinorder(_u17335) | ( c_Big__Operators_Olinorder__class_OMax(_u17335, hAPP(c_List_Oset(_u17335), hAPP(hAPP(c_List_Olist_OCons(_u17335), _u17336), _u17337))) = hAPP(c_List_Ofoldl(_u17335, _u17335, c_Orderings_Oord__class_Omax(_u17335), _u17336), _u17337)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_min__max_OInf__fin__set__fold ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_min__max_OInf__fin__set__fold-1, axiom, ( ~class_Orderings_Olinorder(_u17338) | ( c_Big__Operators_Olattice_OInf__fin(_u17338, c_Orderings_Oord__class_Omin(_u17338), hAPP(c_List_Oset(_u17338), hAPP(hAPP(c_List_Olist_OCons(_u17338), _u17339), _u17340))) = hAPP(c_List_Ofoldl(_u17338, _u17338, c_Orderings_Oord__class_Omin(_u17338), _u17339), _u17340)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_min__max_OSup__fin__set__fold ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_min__max_OSup__fin__set__fold-1, axiom, ( ~class_Orderings_Olinorder(_u17341) | ( c_Big__Operators_Olattice_OSup__fin(_u17341, c_Orderings_Oord__class_Omax(_u17341), hAPP(c_List_Oset(_u17341), hAPP(hAPP(c_List_Olist_OCons(_u17341), _u17342), _u17343))) = hAPP(c_List_Ofoldl(_u17341, _u17341, c_Orderings_Oord__class_Omax(_u17341), _u17342), _u17343)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_SUPR__set__fold ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_SUPR__set__fold-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17344) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u17345, _u17344), hAPP(c_List_Oset(_u17345), _u17346)), _u17347) = hAPP(c_List_Ofoldl(_u17344, _u17345, hAPP(c_COMBC(_u17345, _u17344, _u17344), hAPP(hAPP(c_COMBB(_u17344, tc_fun(_u17344, _u17344), _u17345), c_Lattices_Osemilattice__sup__class_Osup(_u17344)), _u17347)), c_Orderings_Obot__class_Obot(_u17344)), _u17346)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_map__upds__fold__map__upd ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_map__upds__fold__map__upd-1, axiom, ( ( c_Map_Omap__upds(_u17348, _u17349, _u17350, _u17351, _u17352) = hAPP(c_List_Ofoldl(tc_fun(_u17348, tc_Option_Ooption(_u17349)), tc_prod(_u17348, _u17349), hAPP(hAPP(c_COMBB(tc_fun(_u17348, tc_fun(_u17349, tc_fun(_u17348, tc_Option_Ooption(_u17349)))), tc_fun(tc_prod(_u17348, _u17349), tc_fun(_u17348, tc_Option_Ooption(_u17349))), tc_fun(_u17348, tc_Option_Ooption(_u17349))), c_Product__Type_Oprod_Oprod__case(_u17348, _u17349, tc_fun(_u17348, tc_Option_Ooption(_u17349)))), hAPP(hAPP(c_COMBC(tc_fun(_u17348, tc_Option_Ooption(_u17349)), tc_fun(_u17349, tc_Option_Ooption(_u17349)), tc_fun(_u17348, tc_fun(_u17349, tc_fun(_u17348, tc_Option_Ooption(_u17349))))), hAPP(hAPP(c_COMBB(tc_fun(_u17348, tc_fun(tc_fun(_u17349, tc_Option_Ooption(_u17349)), tc_fun(_u17349, tc_fun(_u17348, tc_Option_Ooption(_u17349))))), tc_fun(tc_fun(_u17349, tc_Option_Ooption(_u17349)), tc_fun(_u17348, tc_fun(_u17349, tc_fun(_u17348, tc_Option_Ooption(_u17349))))), tc_fun(_u17348, tc_Option_Ooption(_u17349))), c_COMBC(_u17348, tc_fun(_u17349, tc_Option_Ooption(_u17349)), tc_fun(_u17349, tc_fun(_u17348, tc_Option_Ooption(_u17349))))), hAPP(hAPP(c_COMBB(tc_fun(_u17348, tc_fun(tc_Option_Ooption(_u17349), tc_fun(_u17348, tc_Option_Ooption(_u17349)))), tc_fun(_u17348, tc_fun(tc_fun(_u17349, tc_Option_Ooption(_u17349)), tc_fun(_u17349, tc_fun(_u17348, tc_Option_Ooption(_u17349))))), tc_fun(_u17348, tc_Option_Ooption(_u17349))), hAPP(c_COMBB(tc_fun(tc_Option_Ooption(_u17349), tc_fun(_u17348, tc_Option_Ooption(_u17349))), tc_fun(tc_fun(_u17349, tc_Option_Ooption(_u17349)), tc_fun(_u17349, tc_fun(_u17348, tc_Option_Ooption(_u17349)))), _u17348), c_COMBB(tc_Option_Ooption(_u17349), tc_fun(_u17348, tc_Option_Ooption(_u17349)), _u17349))), c_Fun_Ofun__upd(_u17348, tc_Option_Ooption(_u17349))))), c_Option_Ooption_OSome(_u17349))), _u17350), hAPP(hAPP(c_List_Ozip(_u17348, _u17349), _u17351), _u17352))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_elem__le__sum ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_elem__le__sum-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u17353), hAPP(c_List_Oset(tc_Nat_Onat), _u17354))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17353), 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)), _u17354))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_hd__rotate__conv__nth ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_hd__rotate__conv__nth-1, axiom, ( ( _u17355 = c_List_Olist_ONil(_u17356)) | ( hAPP(c_List_Ohd(_u17356), hAPP(c_List_Orotate(_u17356, _u17357), _u17355)) = hAPP(hAPP(c_List_Onth(_u17356), _u17355), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u17357, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17356)), _u17355)))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_rotate__drop__take ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_rotate__drop__take-1, axiom, ( ( hAPP(c_List_Orotate(_u17358, _u17359), _u17360) = hAPP(hAPP(c_List_Oappend(_u17358), hAPP(hAPP(c_List_Odrop(_u17358), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u17359, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17358)), _u17360))), _u17360)), hAPP(hAPP(c_List_Otake(_u17358), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u17359, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17358)), _u17360))), _u17360))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_rotate1__rotate__swap ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_rotate1__rotate__swap-1, axiom, ( ( hAPP(c_List_Orotate1(_u17361), hAPP(c_List_Orotate(_u17361, _u17362), _u17363)) = hAPP(c_List_Orotate(_u17361, _u17362), hAPP(c_List_Orotate1(_u17361), _u17363))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_rotate__is__Nil__conv ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_rotate__is__Nil__conv-1, axiom, ( ( hAPP(c_List_Orotate(_u17367, _u17369), _u17371) != c_List_Olist_ONil(_u17367)) | ( _u17371 = c_List_Olist_ONil(_u17367)) )).
% 39.89/40.10 cnf(fact_rotate__is__Nil__conv-2, axiom, ( ( _u17372 != c_List_Olist_ONil(_u17368)) | ( hAPP(c_List_Orotate(_u17368, _u17370), _u17372) = c_List_Olist_ONil(_u17368)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_length__rotate ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_length__rotate-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17373)), hAPP(c_List_Orotate(_u17373, _u17374), _u17375)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17373)), _u17375)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_rotate__rotate ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_rotate__rotate-1, axiom, ( ( hAPP(c_List_Orotate(_u17376, _u17377), hAPP(c_List_Orotate(_u17376, _u17378), _u17379)) = hAPP(c_List_Orotate(_u17376, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17377), _u17378)), _u17379)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_distinct__rotate ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_distinct__rotate-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17383), hAPP(c_List_Orotate(_u17383, _u17385), _u17387))) | hBOOL(hAPP(c_List_Odistinct(_u17383), _u17387)) )).
% 39.89/40.10 cnf(fact_distinct__rotate-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17384), _u17388)) | hBOOL(hAPP(c_List_Odistinct(_u17384), hAPP(c_List_Orotate(_u17384, _u17386), _u17388))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_set__rotate ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_set__rotate-1, axiom, ( ( hAPP(c_List_Oset(_u17389), hAPP(c_List_Orotate(_u17389, _u17390), _u17391)) = hAPP(c_List_Oset(_u17389), _u17391)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_rotate__map ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_rotate__map-1, axiom, ( ( hAPP(c_List_Orotate(_u17392, _u17393), hAPP(hAPP(c_List_Omap(_u17394, _u17392), _u17395), _u17396)) = hAPP(hAPP(c_List_Omap(_u17394, _u17392), _u17395), hAPP(c_List_Orotate(_u17394, _u17393), _u17396))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_rotate__conv__mod ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_rotate__conv__mod-1, axiom, ( ( hAPP(c_List_Orotate(_u17397, _u17398), _u17399) = hAPP(c_List_Orotate(_u17397, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u17398, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17397)), _u17399))), _u17399)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_rotate__Suc ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_rotate__Suc-1, axiom, ( ( hAPP(c_List_Orotate(_u17400, hAPP(c_Nat_OSuc, _u17401)), _u17402) = hAPP(c_List_Orotate1(_u17400), hAPP(c_List_Orotate(_u17400, _u17401), _u17402))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_rotate0 ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_rotate0-1, axiom, ( ( c_List_Orotate(_u17403, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Fun_Oid(tc_List_Olist(_u17403))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_rotate__add ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_rotate__add-1, axiom, ( ( c_List_Orotate(_u17404, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17405), _u17406)) = hAPP(c_Fun_Ocomp(tc_List_Olist(_u17404), tc_List_Olist(_u17404), tc_List_Olist(_u17404), c_List_Orotate(_u17404, _u17405)), c_List_Orotate(_u17404, _u17406))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_rotate__id ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_rotate__id-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u17407, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17408)), _u17409)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Orotate(_u17408, _u17407), _u17409) = _u17409) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_rotate__length01 ( axiom ) converted to clauses:
% 39.89/40.10 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(_u17410)), _u17411)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( hAPP(c_List_Orotate(_u17410, _u17412), _u17411) = _u17411) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_lexord__append__rightI ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_lexord__append__rightI-1, axiom, ( ( _u17415 != hAPP(hAPP(c_List_Olist_OCons(_u17416), _u17414), _u17413)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17416), tc_List_Olist(_u17416))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17416), tc_List_Olist(_u17416)), _u17417), hAPP(hAPP(c_List_Oappend(_u17416), _u17417), _u17415))), c_List_Olexord(_u17416, _u17418))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_sorted__list__of__set__insert ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_sorted__list__of__set__insert-1, axiom, ( ~class_Orderings_Olinorder(_u17419) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17419), _u17420)) | ( c_List_Olinorder__class_Osorted__list__of__set(_u17419, hAPP(hAPP(c_Set_Oinsert(_u17419), _u17421), _u17420)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17419, _u17419, c_COMBI(_u17419)), _u17421), c_List_Olinorder__class_Osorted__list__of__set(_u17419, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u17419, tc_HOL_Obool)), _u17420), hAPP(hAPP(c_Set_Oinsert(_u17419), _u17421), c_Orderings_Obot__class_Obot(tc_fun(_u17419, tc_HOL_Obool))))))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_set__insort ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_set__insort-1, axiom, ( ~class_Orderings_Olinorder(_u17422) | ( hAPP(c_List_Oset(_u17423), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17423, _u17422, _u17424), _u17425), _u17426)) = hAPP(hAPP(c_Set_Oinsert(_u17423), _u17425), hAPP(c_List_Oset(_u17423), _u17426))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_insort__key_Osimps_I1_J ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_insort__key_Osimps_I1_J-1, axiom, ( ~class_Orderings_Olinorder(_u17427) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17428, _u17427, _u17429), _u17430), c_List_Olist_ONil(_u17428)) = hAPP(hAPP(c_List_Olist_OCons(_u17428), _u17430), c_List_Olist_ONil(_u17428))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_insort__key_Osimps_I2_J ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_insort__key_Osimps_I2_J-1, axiom, ( ~class_Orderings_Olinorder(_u17431) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17431), hAPP(_u17432, _u17433)), hAPP(_u17432, _u17434))) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17435, _u17431, _u17432), _u17433), hAPP(hAPP(c_List_Olist_OCons(_u17435), _u17434), _u17436)) = hAPP(hAPP(c_List_Olist_OCons(_u17435), _u17433), hAPP(hAPP(c_List_Olist_OCons(_u17435), _u17434), _u17436))) )).
% 39.89/40.10 cnf(fact_insort__key_Osimps_I2_J-2, axiom, ( ~class_Orderings_Olinorder(_u17431) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17431), hAPP(_u17432, _u17433)), hAPP(_u17432, _u17434))) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17435, _u17431, _u17432), _u17433), hAPP(hAPP(c_List_Olist_OCons(_u17435), _u17434), _u17436)) = hAPP(hAPP(c_List_Olist_OCons(_u17435), _u17434), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17435, _u17431, _u17432), _u17433), _u17436))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_filter__insort__triv ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_filter__insort__triv-1, axiom, ( ~class_Orderings_Olinorder(_u17437) | hBOOL(hAPP(_u17438, _u17439)) | ( hAPP(c_List_Ofilter(_u17440, _u17438), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17440, _u17437, _u17441), _u17439), _u17442)) = hAPP(c_List_Ofilter(_u17440, _u17438), _u17442)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_remove1__insort ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_remove1__insort-1, axiom, ( ~class_Orderings_Olinorder(_u17443) | ( c_List_Oremove1(_u17443, _u17444, hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17443, _u17443, c_COMBI(_u17443)), _u17444), _u17445)) = _u17445) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_insort__key__left__comm ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_insort__key__left__comm-1, axiom, ( ~class_Orderings_Olinorder(_u17446) | ( hAPP(_u17447, _u17448) = hAPP(_u17447, _u17449)) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17450, _u17446, _u17447), _u17449), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17450, _u17446, _u17447), _u17448), _u17451)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17450, _u17446, _u17447), _u17448), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17450, _u17446, _u17447), _u17449), _u17451))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_insort__left__comm ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_insort__left__comm-1, axiom, ( ~class_Orderings_Olinorder(_u17452) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17452, _u17452, c_COMBI(_u17452)), _u17453), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17452, _u17452, c_COMBI(_u17452)), _u17454), _u17455)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17452, _u17452, c_COMBI(_u17452)), _u17454), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17452, _u17452, c_COMBI(_u17452)), _u17453), _u17455))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_length__insort ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_length__insort-1, axiom, ( ~class_Orderings_Olinorder(_u17456) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17457)), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17457, _u17456, _u17458), _u17459), _u17460)) = hAPP(c_Nat_OSuc, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17457)), _u17460))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_insort__not__Nil ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_insort__not__Nil-1, axiom, ( ~class_Orderings_Olinorder(_u17461) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17462, _u17461, _u17463), _u17464), _u17465) != c_List_Olist_ONil(_u17462)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_distinct__insort ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_distinct__insort-1, axiom, ( ~class_Orderings_Olinorder(_u17466) | ~hBOOL(hAPP(c_List_Odistinct(_u17467), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17467, _u17466, _u17468), _u17469), _u17470))) | ~hBOOL(hAPP(hAPP(c_member(_u17467), _u17469), hAPP(c_List_Oset(_u17467), _u17470))) )).
% 39.89/40.10 cnf(fact_distinct__insort-2, axiom, ( ~class_Orderings_Olinorder(_u17466) | ~hBOOL(hAPP(c_List_Odistinct(_u17467), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17467, _u17466, _u17468), _u17469), _u17470))) | hBOOL(hAPP(c_List_Odistinct(_u17467), _u17470)) )).
% 39.89/40.10 cnf(fact_distinct__insort-3, axiom, ( ~class_Orderings_Olinorder(_u17466) | hBOOL(hAPP(hAPP(c_member(_u17467), _u17469), hAPP(c_List_Oset(_u17467), _u17470))) | ~hBOOL(hAPP(c_List_Odistinct(_u17467), _u17470)) | hBOOL(hAPP(c_List_Odistinct(_u17467), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17467, _u17466, _u17468), _u17469), _u17470))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_insort__key__remove1 ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_insort__key__remove1-1, axiom, ( ~class_Orderings_Olinorder(_u17471) | ~hBOOL(hAPP(hAPP(c_member(_u17472), _u17473), hAPP(c_List_Oset(_u17472), _u17474))) | ~c_List_Olinorder__class_Osorted(_u17471, hAPP(hAPP(c_List_Omap(_u17472, _u17471), _u17475), _u17474)) | ( hAPP(c_List_Ohd(_u17472), hAPP(c_List_Ofilter(_u17472, hAPP(hAPP(c_COMBB(_u17471, tc_HOL_Obool, _u17472), hAPP(c_fequal, hAPP(_u17475, _u17473))), _u17475)), _u17474)) != _u17473) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17472, _u17471, _u17475), _u17473), c_List_Oremove1(_u17472, _u17473, _u17474)) = _u17474) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_insort__insert__insort__key ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_insort__insert__insort__key-1, axiom, ( ~class_Orderings_Olinorder(_u17476) | hBOOL(hAPP(hAPP(c_member(_u17476), hAPP(_u17477, _u17478)), hAPP(c_Set_Oimage(_u17479, _u17476, _u17477), hAPP(c_List_Oset(_u17479), _u17480)))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u17479, _u17476, _u17477, _u17478, _u17480) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17479, _u17476, _u17477), _u17478), _u17480)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_sorted_ONil ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_sorted_ONil-1, axiom, ( ~class_Orderings_Olinorder(_u17481) | c_List_Olinorder__class_Osorted(_u17481, c_List_Olist_ONil(_u17481)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_sorted__single ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_sorted__single-1, axiom, ( ~class_Orderings_Olinorder(_u17482) | c_List_Olinorder__class_Osorted(_u17482, hAPP(hAPP(c_List_Olist_OCons(_u17482), _u17483), c_List_Olist_ONil(_u17482))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_sorted__insort__key ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_sorted__insort__key-1, axiom, ( ~class_Orderings_Olinorder(_u17484) | ~c_List_Olinorder__class_Osorted(_u17484, hAPP(hAPP(c_List_Omap(_u17485, _u17484), _u17486), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17485, _u17484, _u17486), _u17487), _u17488))) | c_List_Olinorder__class_Osorted(_u17484, hAPP(hAPP(c_List_Omap(_u17485, _u17484), _u17486), _u17488)) )).
% 39.89/40.10 cnf(fact_sorted__insort__key-2, axiom, ( ~class_Orderings_Olinorder(_u17484) | ~c_List_Olinorder__class_Osorted(_u17484, hAPP(hAPP(c_List_Omap(_u17485, _u17484), _u17486), _u17488)) | c_List_Olinorder__class_Osorted(_u17484, hAPP(hAPP(c_List_Omap(_u17485, _u17484), _u17486), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17485, _u17484, _u17486), _u17487), _u17488))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_sorted__insort ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_sorted__insort-1, axiom, ( ~class_Orderings_Olinorder(_u17489) | ~c_List_Olinorder__class_Osorted(_u17489, hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17489, _u17489, c_COMBI(_u17489)), _u17490), _u17491)) | c_List_Olinorder__class_Osorted(_u17489, _u17491) )).
% 39.89/40.10 cnf(fact_sorted__insort-2, axiom, ( ~class_Orderings_Olinorder(_u17489) | ~c_List_Olinorder__class_Osorted(_u17489, _u17491) | c_List_Olinorder__class_Osorted(_u17489, hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17489, _u17489, c_COMBI(_u17489)), _u17490), _u17491)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_sorted__remdups ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_sorted__remdups-1, axiom, ( ~class_Orderings_Olinorder(_u17492) | ~c_List_Olinorder__class_Osorted(_u17492, _u17493) | c_List_Olinorder__class_Osorted(_u17492, c_List_Oremdups(_u17492, _u17493)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_sorted__map__same ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_sorted__map__same-1, axiom, ( ~class_Orderings_Olinorder(_u17494) | c_List_Olinorder__class_Osorted(_u17494, hAPP(hAPP(c_List_Omap(_u17495, _u17494), _u17496), hAPP(c_List_Ofilter(_u17495, hAPP(hAPP(c_COMBC(_u17495, _u17494, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u17494, tc_fun(_u17494, tc_HOL_Obool), _u17495), c_fequal), _u17496)), hAPP(_u17497, _u17498))), _u17498))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_sorted_Oequations_I1_J ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_sorted_Oequations_I1_J-1, axiom, ( ~class_Orderings_Olinorder(_u17499) | c_List_Olinorder__class_Osorted(_u17499, c_List_Olist_ONil(_u17499)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_sorted__butlast ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_sorted__butlast-1, axiom, ( ~class_Orderings_Olinorder(_u17500) | ( _u17501 = c_List_Olist_ONil(_u17500)) | ~c_List_Olinorder__class_Osorted(_u17500, _u17501) | c_List_Olinorder__class_Osorted(_u17500, c_List_Obutlast(_u17500, _u17501)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_sorted__upt ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_sorted__upt-1, axiom, ( c_List_Olinorder__class_Osorted(tc_Nat_Onat, c_List_Oupt(_u17502, _u17503)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_sorted__upto ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_sorted__upto-1, axiom, ( c_List_Olinorder__class_Osorted(tc_Int_Oint, c_List_Oupto(_u17504, _u17505)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_sorted__insort__insert ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_sorted__insort__insert-1, axiom, ( ~class_Orderings_Olinorder(_u17506) | ~c_List_Olinorder__class_Osorted(_u17506, _u17507) | c_List_Olinorder__class_Osorted(_u17506, c_List_Olinorder__class_Oinsort__insert__key(_u17506, _u17506, c_COMBI(_u17506), _u17508, _u17507)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_sorted__remove1 ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_sorted__remove1-1, axiom, ( ~class_Orderings_Olinorder(_u17509) | ~c_List_Olinorder__class_Osorted(_u17509, _u17510) | c_List_Olinorder__class_Osorted(_u17509, c_List_Oremove1(_u17509, _u17511, _u17510)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_sorted__same ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_sorted__same-1, axiom, ( ~class_Orderings_Olinorder(_u17512) | c_List_Olinorder__class_Osorted(_u17512, hAPP(c_List_Ofilter(_u17512, hAPP(hAPP(c_COMBC(_u17512, _u17512, tc_HOL_Obool), c_fequal), hAPP(_u17513, _u17514))), _u17514)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_distinct__insort__insert ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_distinct__insort__insert-1, axiom, ( ~class_Orderings_Olinorder(_u17515) | ~hBOOL(hAPP(c_List_Odistinct(_u17516), _u17517)) | hBOOL(hAPP(c_List_Odistinct(_u17516), c_List_Olinorder__class_Oinsort__insert__key(_u17516, _u17515, _u17518, _u17519, _u17517))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_sorted__take ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_sorted__take-1, axiom, ( ~class_Orderings_Olinorder(_u17520) | ~c_List_Olinorder__class_Osorted(_u17520, _u17521) | c_List_Olinorder__class_Osorted(_u17520, hAPP(hAPP(c_List_Otake(_u17520), _u17522), _u17521)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_sorted__many ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_sorted__many-1, axiom, ( ~class_Orderings_Olinorder(_u17523) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17523), _u17524), _u17525)) | ~c_List_Olinorder__class_Osorted(_u17523, hAPP(hAPP(c_List_Olist_OCons(_u17523), _u17525), _u17526)) | c_List_Olinorder__class_Osorted(_u17523, hAPP(hAPP(c_List_Olist_OCons(_u17523), _u17524), hAPP(hAPP(c_List_Olist_OCons(_u17523), _u17525), _u17526))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_sorted__many__eq ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_sorted__many__eq-1, axiom, ( ~class_Orderings_Olinorder(_u17527) | ~c_List_Olinorder__class_Osorted(_u17527, hAPP(hAPP(c_List_Olist_OCons(_u17527), _u17528), hAPP(hAPP(c_List_Olist_OCons(_u17527), _u17529), _u17530))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17527), _u17528), _u17529)) )).
% 39.89/40.10 cnf(fact_sorted__many__eq-2, axiom, ( ~class_Orderings_Olinorder(_u17527) | ~c_List_Olinorder__class_Osorted(_u17527, hAPP(hAPP(c_List_Olist_OCons(_u17527), _u17528), hAPP(hAPP(c_List_Olist_OCons(_u17527), _u17529), _u17530))) | c_List_Olinorder__class_Osorted(_u17527, hAPP(hAPP(c_List_Olist_OCons(_u17527), _u17529), _u17530)) )).
% 39.89/40.10 cnf(fact_sorted__many__eq-3, axiom, ( ~class_Orderings_Olinorder(_u17527) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17527), _u17528), _u17529)) | ~c_List_Olinorder__class_Osorted(_u17527, hAPP(hAPP(c_List_Olist_OCons(_u17527), _u17529), _u17530)) | c_List_Olinorder__class_Osorted(_u17527, hAPP(hAPP(c_List_Olist_OCons(_u17527), _u17528), hAPP(hAPP(c_List_Olist_OCons(_u17527), _u17529), _u17530))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_sorted__distinct__set__unique ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_sorted__distinct__set__unique-1, axiom, ( ~class_Orderings_Olinorder(_u17531) | ~c_List_Olinorder__class_Osorted(_u17531, _u17532) | ~hBOOL(hAPP(c_List_Odistinct(_u17531), _u17532)) | ~c_List_Olinorder__class_Osorted(_u17531, _u17533) | ~hBOOL(hAPP(c_List_Odistinct(_u17531), _u17533)) | ( hAPP(c_List_Oset(_u17531), _u17532) != hAPP(c_List_Oset(_u17531), _u17533)) | ( _u17532 = _u17533) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_sorted__tl ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_sorted__tl-1, axiom, ( ~class_Orderings_Olinorder(_u17534) | ~c_List_Olinorder__class_Osorted(_u17534, _u17535) | c_List_Olinorder__class_Osorted(_u17534, hAPP(c_List_Otl(_u17534), _u17535)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_sorted__filter ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_sorted__filter-1, axiom, ( ~class_Orderings_Olinorder(_u17536) | ~c_List_Olinorder__class_Osorted(_u17536, hAPP(hAPP(c_List_Omap(_u17537, _u17536), _u17538), _u17539)) | c_List_Olinorder__class_Osorted(_u17536, hAPP(hAPP(c_List_Omap(_u17537, _u17536), _u17538), hAPP(c_List_Ofilter(_u17537, _u17540), _u17539))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_sorted__insort__insert__key ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_sorted__insort__insert__key-1, axiom, ( ~class_Orderings_Olinorder(_u17541) | ~c_List_Olinorder__class_Osorted(_u17541, hAPP(hAPP(c_List_Omap(_u17542, _u17541), _u17543), _u17544)) | c_List_Olinorder__class_Osorted(_u17541, hAPP(hAPP(c_List_Omap(_u17542, _u17541), _u17543), c_List_Olinorder__class_Oinsort__insert__key(_u17542, _u17541, _u17543, _u17545, _u17544))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_sorted__map__remove1 ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_sorted__map__remove1-1, axiom, ( ~class_Orderings_Olinorder(_u17546) | ~c_List_Olinorder__class_Osorted(_u17546, hAPP(hAPP(c_List_Omap(_u17547, _u17546), _u17548), _u17549)) | c_List_Olinorder__class_Osorted(_u17546, hAPP(hAPP(c_List_Omap(_u17547, _u17546), _u17548), c_List_Oremove1(_u17547, _u17550, _u17549))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_sorted__drop ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_sorted__drop-1, axiom, ( ~class_Orderings_Olinorder(_u17551) | ~c_List_Olinorder__class_Osorted(_u17551, _u17552) | c_List_Olinorder__class_Osorted(_u17551, hAPP(hAPP(c_List_Odrop(_u17551), _u17553), _u17552)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_sorted__Cons ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_sorted__Cons-1, axiom, ( ~class_Orderings_Olinorder(_u17556) | ~c_List_Olinorder__class_Osorted(_u17556, hAPP(hAPP(c_List_Olist_OCons(_u17556), _u17557), _u17558)) | c_List_Olinorder__class_Osorted(_u17556, _u17558) )).
% 39.89/40.10 cnf(fact_sorted__Cons-2, axiom, ( ~class_Orderings_Olinorder(_u17556) | ~c_List_Olinorder__class_Osorted(_u17556, hAPP(hAPP(c_List_Olist_OCons(_u17556), _u17557), _u17558)) | ~hBOOL(hAPP(hAPP(c_member(_u17556), _u17554), hAPP(c_List_Oset(_u17556), _u17558))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17556), _u17557), _u17554)) )).
% 39.89/40.10 cnf(fact_sorted__Cons-3, axiom, ( ~class_Orderings_Olinorder(_u17556) | c_List_Olinorder__class_Osorted(_u17556, hAPP(hAPP(c_List_Olist_OCons(_u17556), _u17557), _u17558)) | ~c_List_Olinorder__class_Osorted(_u17556, _u17558) | hBOOL(hAPP(hAPP(c_member(_u17556), skolem405(_u17558, _u17557, _u17556)), hAPP(c_List_Oset(_u17556), _u17558))) )).
% 39.89/40.10 cnf(fact_sorted__Cons-4, axiom, ( ~class_Orderings_Olinorder(_u17556) | c_List_Olinorder__class_Osorted(_u17556, hAPP(hAPP(c_List_Olist_OCons(_u17556), _u17557), _u17558)) | ~c_List_Olinorder__class_Osorted(_u17556, _u17558) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17556), _u17557), skolem405(_u17558, _u17557, _u17556))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_sorted__append ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_sorted__append-1, axiom, ( ~class_Orderings_Olinorder(_u17563) | ~c_List_Olinorder__class_Osorted(_u17563, hAPP(hAPP(c_List_Oappend(_u17563), _u17564), _u17565)) | c_List_Olinorder__class_Osorted(_u17563, _u17564) )).
% 39.89/40.10 cnf(fact_sorted__append-2, axiom, ( ~class_Orderings_Olinorder(_u17563) | ~c_List_Olinorder__class_Osorted(_u17563, hAPP(hAPP(c_List_Oappend(_u17563), _u17564), _u17565)) | c_List_Olinorder__class_Osorted(_u17563, _u17565) )).
% 39.89/40.10 cnf(fact_sorted__append-3, axiom, ( ~class_Orderings_Olinorder(_u17563) | ~c_List_Olinorder__class_Osorted(_u17563, hAPP(hAPP(c_List_Oappend(_u17563), _u17564), _u17565)) | ~hBOOL(hAPP(hAPP(c_member(_u17563), _u17560), hAPP(c_List_Oset(_u17563), _u17564))) | ~hBOOL(hAPP(hAPP(c_member(_u17563), _u17559), hAPP(c_List_Oset(_u17563), _u17565))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17563), _u17560), _u17559)) )).
% 39.89/40.10 cnf(fact_sorted__append-4, axiom, ( ~class_Orderings_Olinorder(_u17563) | c_List_Olinorder__class_Osorted(_u17563, hAPP(hAPP(c_List_Oappend(_u17563), _u17564), _u17565)) | ~c_List_Olinorder__class_Osorted(_u17563, _u17564) | ~c_List_Olinorder__class_Osorted(_u17563, _u17565) | hBOOL(hAPP(hAPP(c_member(_u17563), skolem406(_u17565, _u17564, _u17563)), hAPP(c_List_Oset(_u17563), _u17564))) )).
% 39.89/40.10 cnf(fact_sorted__append-5, axiom, ( ~class_Orderings_Olinorder(_u17563) | c_List_Olinorder__class_Osorted(_u17563, hAPP(hAPP(c_List_Oappend(_u17563), _u17564), _u17565)) | ~c_List_Olinorder__class_Osorted(_u17563, _u17564) | ~c_List_Olinorder__class_Osorted(_u17563, _u17565) | hBOOL(hAPP(hAPP(c_member(_u17563), skolem407(_u17565, _u17564, _u17563)), hAPP(c_List_Oset(_u17563), _u17565))) )).
% 39.89/40.10 cnf(fact_sorted__append-6, axiom, ( ~class_Orderings_Olinorder(_u17563) | c_List_Olinorder__class_Osorted(_u17563, hAPP(hAPP(c_List_Oappend(_u17563), _u17564), _u17565)) | ~c_List_Olinorder__class_Osorted(_u17563, _u17564) | ~c_List_Olinorder__class_Osorted(_u17563, _u17565) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17563), skolem406(_u17565, _u17564, _u17563)), skolem407(_u17565, _u17564, _u17563))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_filter__insort ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_filter__insort-1, axiom, ( ~class_Orderings_Olinorder(_u17566) | ~c_List_Olinorder__class_Osorted(_u17566, hAPP(hAPP(c_List_Omap(_u17567, _u17566), _u17568), _u17569)) | ~hBOOL(hAPP(_u17570, _u17571)) | ( hAPP(c_List_Ofilter(_u17567, _u17570), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17567, _u17566, _u17568), _u17571), _u17569)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17567, _u17566, _u17568), _u17571), hAPP(c_List_Ofilter(_u17567, _u17570), _u17569))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_sorted_Oequations_I2_J ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_sorted_Oequations_I2_J-1, axiom, ( ~class_Orderings_Olinorder(_u17574) | ~c_List_Olinorder__class_Osorted(_u17574, hAPP(hAPP(c_List_Olist_OCons(_u17574), _u17575), _u17576)) | ~hBOOL(hAPP(hAPP(c_member(_u17574), _u17572), hAPP(c_List_Oset(_u17574), _u17576))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17574), _u17575), _u17572)) )).
% 39.89/40.10 cnf(fact_sorted_Oequations_I2_J-2, axiom, ( ~class_Orderings_Olinorder(_u17574) | ~c_List_Olinorder__class_Osorted(_u17574, hAPP(hAPP(c_List_Olist_OCons(_u17574), _u17575), _u17576)) | c_List_Olinorder__class_Osorted(_u17574, _u17576) )).
% 39.89/40.10 cnf(fact_sorted_Oequations_I2_J-3, axiom, ( ~class_Orderings_Olinorder(_u17574) | c_List_Olinorder__class_Osorted(_u17574, hAPP(hAPP(c_List_Olist_OCons(_u17574), _u17575), _u17576)) | ~c_List_Olinorder__class_Osorted(_u17574, _u17576) | hBOOL(hAPP(hAPP(c_member(_u17574), skolem408(_u17576, _u17575, _u17574)), hAPP(c_List_Oset(_u17574), _u17576))) )).
% 39.89/40.10 cnf(fact_sorted_Oequations_I2_J-4, axiom, ( ~class_Orderings_Olinorder(_u17574) | c_List_Olinorder__class_Osorted(_u17574, hAPP(hAPP(c_List_Olist_OCons(_u17574), _u17575), _u17576)) | ~c_List_Olinorder__class_Osorted(_u17574, _u17576) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17574), _u17575), skolem408(_u17576, _u17575, _u17574))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_insort__insert__triv ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_insort__insert__triv-1, axiom, ( ~class_Orderings_Olinorder(_u17577) | ~hBOOL(hAPP(hAPP(c_member(_u17577), _u17578), hAPP(c_List_Oset(_u17577), _u17579))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u17577, _u17577, c_COMBI(_u17577), _u17578, _u17579) = _u17579) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_set__insort__insert ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_set__insort__insert-1, axiom, ( ~class_Orderings_Olinorder(_u17580) | ( hAPP(c_List_Oset(_u17580), c_List_Olinorder__class_Oinsort__insert__key(_u17580, _u17580, c_COMBI(_u17580), _u17581, _u17582)) = hAPP(hAPP(c_Set_Oinsert(_u17580), _u17581), hAPP(c_List_Oset(_u17580), _u17582))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_sorted__list__of__set ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_sorted__list__of__set-1, axiom, ( ~class_Orderings_Olinorder(_u17583) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17583), _u17584)) | ( hAPP(c_List_Oset(_u17583), c_List_Olinorder__class_Osorted__list__of__set(_u17583, _u17584)) = _u17584) )).
% 39.89/40.10 cnf(fact_sorted__list__of__set-2, axiom, ( ~class_Orderings_Olinorder(_u17583) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17583), _u17584)) | c_List_Olinorder__class_Osorted(_u17583, c_List_Olinorder__class_Osorted__list__of__set(_u17583, _u17584)) )).
% 39.89/40.10 cnf(fact_sorted__list__of__set-3, axiom, ( ~class_Orderings_Olinorder(_u17583) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17583), _u17584)) | hBOOL(hAPP(c_List_Odistinct(_u17583), c_List_Olinorder__class_Osorted__list__of__set(_u17583, _u17584))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_insort__remove1 ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_insort__remove1-1, axiom, ( ~class_Orderings_Olinorder(_u17585) | ~hBOOL(hAPP(hAPP(c_member(_u17585), _u17586), hAPP(c_List_Oset(_u17585), _u17587))) | ~c_List_Olinorder__class_Osorted(_u17585, _u17587) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17585, _u17585, c_COMBI(_u17585)), _u17586), c_List_Oremove1(_u17585, _u17586, _u17587)) = _u17587) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_sorted__nth__mono ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_sorted__nth__mono-1, axiom, ( ~class_Orderings_Olinorder(_u17588) | ~c_List_Olinorder__class_Osorted(_u17588, _u17589) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17590), _u17591)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17591), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17588)), _u17589))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17588), hAPP(hAPP(c_List_Onth(_u17588), _u17589), _u17590)), hAPP(hAPP(c_List_Onth(_u17588), _u17589), _u17591))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_sorted__equals__nth__mono ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_sorted__equals__nth__mono-1, axiom, ( ~class_Orderings_Olinorder(_u17596) | ~c_List_Olinorder__class_Osorted(_u17596, _u17597) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17593), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17596)), _u17597))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17592), _u17593)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17596), hAPP(hAPP(c_List_Onth(_u17596), _u17597), _u17592)), hAPP(hAPP(c_List_Onth(_u17596), _u17597), _u17593))) )).
% 39.89/40.10 cnf(fact_sorted__equals__nth__mono-2, axiom, ( ~class_Orderings_Olinorder(_u17596) | c_List_Olinorder__class_Osorted(_u17596, _u17597) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem409(_u17597, _u17596)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17596)), _u17597))) )).
% 39.89/40.10 cnf(fact_sorted__equals__nth__mono-3, axiom, ( ~class_Orderings_Olinorder(_u17596) | c_List_Olinorder__class_Osorted(_u17596, _u17597) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem410(_u17597, _u17596)), skolem409(_u17597, _u17596))) )).
% 39.89/40.10 cnf(fact_sorted__equals__nth__mono-4, axiom, ( ~class_Orderings_Olinorder(_u17596) | c_List_Olinorder__class_Osorted(_u17596, _u17597) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17596), hAPP(hAPP(c_List_Onth(_u17596), _u17597), skolem410(_u17597, _u17596))), hAPP(hAPP(c_List_Onth(_u17596), _u17597), skolem409(_u17597, _u17596)))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_map__sorted__distinct__set__unique ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_map__sorted__distinct__set__unique-1, axiom, ( ~class_Orderings_Olinorder(_u17598) | ~c_Fun_Oinj__on(_u17599, _u17598, _u17600, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17599, tc_HOL_Obool)), hAPP(c_List_Oset(_u17599), _u17601)), hAPP(c_List_Oset(_u17599), _u17602))) | ~c_List_Olinorder__class_Osorted(_u17598, hAPP(hAPP(c_List_Omap(_u17599, _u17598), _u17600), _u17601)) | ~hBOOL(hAPP(c_List_Odistinct(_u17598), hAPP(hAPP(c_List_Omap(_u17599, _u17598), _u17600), _u17601))) | ~c_List_Olinorder__class_Osorted(_u17598, hAPP(hAPP(c_List_Omap(_u17599, _u17598), _u17600), _u17602)) | ~hBOOL(hAPP(c_List_Odistinct(_u17598), hAPP(hAPP(c_List_Omap(_u17599, _u17598), _u17600), _u17602))) | ( hAPP(c_List_Oset(_u17599), _u17601) != hAPP(c_List_Oset(_u17599), _u17602)) | ( _u17601 = _u17602) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_insort__insert__key__triv ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_insort__insert__key__triv-1, axiom, ( ~class_Orderings_Olinorder(_u17603) | ~hBOOL(hAPP(hAPP(c_member(_u17603), hAPP(_u17604, _u17605)), hAPP(c_Set_Oimage(_u17606, _u17603, _u17604), hAPP(c_List_Oset(_u17606), _u17607)))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u17606, _u17603, _u17604, _u17605, _u17607) = _u17607) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_insort__insert__insort ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_insort__insert__insort-1, axiom, ( ~class_Orderings_Olinorder(_u17608) | hBOOL(hAPP(hAPP(c_member(_u17608), _u17609), hAPP(c_List_Oset(_u17608), _u17610))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u17608, _u17608, c_COMBI(_u17608), _u17609, _u17610) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17608, _u17608, c_COMBI(_u17608)), _u17609), _u17610)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_transpose__column ( axiom ) converted to clauses:
% 39.89/40.10 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(_u17611), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u17611))), _u17612))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17613), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17611))), _u17612))) | ( hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17611), _u17611), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17611), tc_Nat_Onat, _u17611), c_List_Onth(_u17611)), _u17613)), hAPP(c_List_Ofilter(tc_List_Olist(_u17611), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u17611)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17613)), c_Nat_Osize__class_Osize(tc_List_Olist(_u17611)))), c_List_Otranspose(_u17611, _u17612))) = hAPP(hAPP(c_List_Onth(tc_List_Olist(_u17611)), _u17612), _u17613)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_nth__nth__transpose__sorted ( axiom ) converted to clauses:
% 39.89/40.10 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(_u17614), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u17614))), _u17615))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17616), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17614))), c_List_Otranspose(_u17614, _u17615)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17617), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17614))), hAPP(c_List_Ofilter(tc_List_Olist(_u17614), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u17614)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17616)), c_Nat_Osize__class_Osize(tc_List_Olist(_u17614)))), _u17615)))) | ( hAPP(hAPP(c_List_Onth(_u17614), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u17614)), c_List_Otranspose(_u17614, _u17615)), _u17616)), _u17617) = hAPP(hAPP(c_List_Onth(_u17614), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u17614)), _u17615), _u17617)), _u17616)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_inj__on__rev ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_inj__on__rev-1, axiom, ( c_Fun_Oinj__on(tc_List_Olist(_u17618), tc_List_Olist(_u17618), c_List_Orev(_u17618), _u17619) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_rev__concat ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_rev__concat-1, axiom, ( ( hAPP(c_List_Orev(_u17620), c_List_Oconcat(_u17620, _u17621)) = c_List_Oconcat(_u17620, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17620), tc_List_Olist(_u17620)), c_List_Orev(_u17620)), hAPP(c_List_Orev(tc_List_Olist(_u17620)), _u17621)))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_rev__map ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_rev__map-1, axiom, ( ( hAPP(c_List_Orev(_u17622), hAPP(hAPP(c_List_Omap(_u17623, _u17622), _u17624), _u17625)) = hAPP(hAPP(c_List_Omap(_u17623, _u17622), _u17624), hAPP(c_List_Orev(_u17623), _u17625))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_set__rev ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_set__rev-1, axiom, ( ( hAPP(c_List_Oset(_u17626), hAPP(c_List_Orev(_u17626), _u17627)) = hAPP(c_List_Oset(_u17626), _u17627)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_zip__rev ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_zip__rev-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17628)), _u17629) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17630)), _u17631)) | ( hAPP(hAPP(c_List_Ozip(_u17628, _u17630), hAPP(c_List_Orev(_u17628), _u17629)), hAPP(c_List_Orev(_u17630), _u17631)) = hAPP(c_List_Orev(tc_prod(_u17628, _u17630)), hAPP(hAPP(c_List_Ozip(_u17628, _u17630), _u17629), _u17631))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_singleton__rev__conv ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_singleton__rev__conv-1, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u17635), _u17637), c_List_Olist_ONil(_u17635)) != hAPP(c_List_Orev(_u17635), _u17639)) | ( _u17639 = hAPP(hAPP(c_List_Olist_OCons(_u17635), _u17637), c_List_Olist_ONil(_u17635))) )).
% 39.89/40.10 cnf(fact_singleton__rev__conv-2, axiom, ( ( _u17640 != hAPP(hAPP(c_List_Olist_OCons(_u17636), _u17638), c_List_Olist_ONil(_u17636))) | ( hAPP(hAPP(c_List_Olist_OCons(_u17636), _u17638), c_List_Olist_ONil(_u17636)) = hAPP(c_List_Orev(_u17636), _u17640)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_rev__singleton__conv ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_rev__singleton__conv-1, axiom, ( ( hAPP(c_List_Orev(_u17644), _u17646) != hAPP(hAPP(c_List_Olist_OCons(_u17644), _u17648), c_List_Olist_ONil(_u17644))) | ( _u17646 = hAPP(hAPP(c_List_Olist_OCons(_u17644), _u17648), c_List_Olist_ONil(_u17644))) )).
% 39.89/40.10 cnf(fact_rev__singleton__conv-2, axiom, ( ( _u17647 != hAPP(hAPP(c_List_Olist_OCons(_u17645), _u17649), c_List_Olist_ONil(_u17645))) | ( hAPP(c_List_Orev(_u17645), _u17647) = hAPP(hAPP(c_List_Olist_OCons(_u17645), _u17649), c_List_Olist_ONil(_u17645))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_distinct__rev ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_distinct__rev-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17652), hAPP(c_List_Orev(_u17652), _u17654))) | hBOOL(hAPP(c_List_Odistinct(_u17652), _u17654)) )).
% 39.89/40.10 cnf(fact_distinct__rev-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17653), _u17655)) | hBOOL(hAPP(c_List_Odistinct(_u17653), hAPP(c_List_Orev(_u17653), _u17655))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_rev__filter ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_rev__filter-1, axiom, ( ( hAPP(c_List_Orev(_u17656), hAPP(c_List_Ofilter(_u17656, _u17657), _u17658)) = hAPP(c_List_Ofilter(_u17656, _u17657), hAPP(c_List_Orev(_u17656), _u17658))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_rev__is__rev__conv ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_rev__is__rev__conv-1, axiom, ( ( _u17664 = _u17666) | ( hAPP(c_List_Orev(_u17662), _u17664) != hAPP(c_List_Orev(_u17662), _u17666)) )).
% 39.89/40.10 cnf(fact_rev__is__rev__conv-2, axiom, ( ( _u17665 != _u17667) | ( hAPP(c_List_Orev(_u17663), _u17665) = hAPP(c_List_Orev(_u17663), _u17667)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_rev__swap ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_rev__swap-1, axiom, ( ( hAPP(c_List_Orev(_u17671), _u17673) != _u17675) | ( _u17673 = hAPP(c_List_Orev(_u17671), _u17675)) )).
% 39.89/40.10 cnf(fact_rev__swap-2, axiom, ( ( _u17674 != hAPP(c_List_Orev(_u17672), _u17676)) | ( hAPP(c_List_Orev(_u17672), _u17674) = _u17676) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_rev__rev__ident ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_rev__rev__ident-1, axiom, ( ( hAPP(c_List_Orev(_u17677), hAPP(c_List_Orev(_u17677), _u17678)) = _u17678) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_length__rev ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_length__rev-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17679)), hAPP(c_List_Orev(_u17679), _u17680)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17679)), _u17680)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_listsum__rev ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_listsum__rev-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u17681) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17681), hAPP(c_List_Orev(_u17681), _u17682)) = hAPP(c_List_Omonoid__add__class_Olistsum(_u17681), _u17682)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_rev__is__Nil__conv ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_rev__is__Nil__conv-1, axiom, ( ( hAPP(c_List_Orev(_u17685), _u17687) != c_List_Olist_ONil(_u17685)) | ( _u17687 = c_List_Olist_ONil(_u17685)) )).
% 39.89/40.10 cnf(fact_rev__is__Nil__conv-2, axiom, ( ( _u17688 != c_List_Olist_ONil(_u17686)) | ( hAPP(c_List_Orev(_u17686), _u17688) = c_List_Olist_ONil(_u17686)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_Nil__is__rev__conv ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_Nil__is__rev__conv-1, axiom, ( ( c_List_Olist_ONil(_u17691) != hAPP(c_List_Orev(_u17691), _u17693)) | ( _u17693 = c_List_Olist_ONil(_u17691)) )).
% 39.89/40.10 cnf(fact_Nil__is__rev__conv-2, axiom, ( ( _u17694 != c_List_Olist_ONil(_u17692)) | ( c_List_Olist_ONil(_u17692) = hAPP(c_List_Orev(_u17692), _u17694)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_rev_Osimps_I1_J ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_rev_Osimps_I1_J-1, axiom, ( ( hAPP(c_List_Orev(_u17695), c_List_Olist_ONil(_u17695)) = c_List_Olist_ONil(_u17695)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_rev__append ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_rev__append-1, axiom, ( ( hAPP(c_List_Orev(_u17696), hAPP(hAPP(c_List_Oappend(_u17696), _u17697), _u17698)) = hAPP(hAPP(c_List_Oappend(_u17696), hAPP(c_List_Orev(_u17696), _u17698)), hAPP(c_List_Orev(_u17696), _u17697))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_foldl__foldr ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_foldl__foldr-1, axiom, ( ( hAPP(c_List_Ofoldl(_u17699, _u17700, _u17701, _u17702), _u17703) = c_List_Ofoldr(_u17700, _u17699, hAPP(c_COMBC(_u17699, _u17700, _u17699), _u17701), hAPP(c_List_Orev(_u17700), _u17703), _u17702)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_foldr__foldl ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_foldr__foldl-1, axiom, ( ( c_List_Ofoldr(_u17704, _u17705, _u17706, _u17707, _u17708) = hAPP(c_List_Ofoldl(_u17705, _u17704, hAPP(c_COMBC(_u17704, _u17705, _u17705), _u17706), _u17708), hAPP(c_List_Orev(_u17704), _u17707))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_rev__eq__Cons__iff ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_rev__eq__Cons__iff-1, axiom, ( ( hAPP(c_List_Orev(_u17713), _u17715) != hAPP(hAPP(c_List_Olist_OCons(_u17713), _u17717), _u17719)) | ( _u17715 = hAPP(hAPP(c_List_Oappend(_u17713), hAPP(c_List_Orev(_u17713), _u17719)), hAPP(hAPP(c_List_Olist_OCons(_u17713), _u17717), c_List_Olist_ONil(_u17713)))) )).
% 39.89/40.10 cnf(fact_rev__eq__Cons__iff-2, axiom, ( ( _u17716 != hAPP(hAPP(c_List_Oappend(_u17714), hAPP(c_List_Orev(_u17714), _u17720)), hAPP(hAPP(c_List_Olist_OCons(_u17714), _u17718), c_List_Olist_ONil(_u17714)))) | ( hAPP(c_List_Orev(_u17714), _u17716) = hAPP(hAPP(c_List_Olist_OCons(_u17714), _u17718), _u17720)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_rev_Osimps_I2_J ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_rev_Osimps_I2_J-1, axiom, ( ( hAPP(c_List_Orev(_u17721), hAPP(hAPP(c_List_Olist_OCons(_u17721), _u17722), _u17723)) = hAPP(hAPP(c_List_Oappend(_u17721), hAPP(c_List_Orev(_u17721), _u17723)), hAPP(hAPP(c_List_Olist_OCons(_u17721), _u17722), c_List_Olist_ONil(_u17721)))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_sorted__transpose ( axiom ) converted to clauses:
% 39.89/40.10 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(_u17724), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u17724))), c_List_Otranspose(_u17724, _u17725)))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_rev__foldl__cons ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_rev__foldl__cons-1, axiom, ( ( hAPP(c_List_Orev(_u17726), _u17727) = hAPP(c_List_Ofoldl(tc_List_Olist(_u17726), _u17726, hAPP(c_COMBC(_u17726, tc_List_Olist(_u17726), tc_List_Olist(_u17726)), c_List_Olist_OCons(_u17726)), c_List_Olist_ONil(_u17726)), _u17727)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_rev__take ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_rev__take-1, axiom, ( ( hAPP(c_List_Orev(_u17728), hAPP(hAPP(c_List_Otake(_u17728), _u17729), _u17730)) = hAPP(hAPP(c_List_Odrop(_u17728), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17728)), _u17730)), _u17729)), hAPP(c_List_Orev(_u17728), _u17730))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_rev__drop ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_rev__drop-1, axiom, ( ( hAPP(c_List_Orev(_u17731), hAPP(hAPP(c_List_Odrop(_u17731), _u17732), _u17733)) = hAPP(hAPP(c_List_Otake(_u17731), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17731)), _u17733)), _u17732)), hAPP(c_List_Orev(_u17731), _u17733))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_rotate__rev ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_rotate__rev-1, axiom, ( ( hAPP(c_List_Orotate(_u17734, _u17735), hAPP(c_List_Orev(_u17734), _u17736)) = hAPP(c_List_Orev(_u17734), hAPP(c_List_Orotate(_u17734, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17734)), _u17736)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u17735, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17734)), _u17736)))), _u17736))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_rev__nth ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_rev__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17737), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17738)), _u17739))) | ( hAPP(hAPP(c_List_Onth(_u17738), hAPP(c_List_Orev(_u17738), _u17739)), _u17737) = hAPP(hAPP(c_List_Onth(_u17738), _u17739), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17738)), _u17739)), hAPP(c_Nat_OSuc, _u17737)))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_rev__update ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_rev__update-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17740), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17741)), _u17742))) | ( hAPP(c_List_Orev(_u17741), hAPP(hAPP(c_List_Olist__update(_u17741, _u17742), _u17740), _u17743)) = hAPP(hAPP(c_List_Olist__update(_u17741, hAPP(c_List_Orev(_u17741), _u17742)), 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(_u17741)), _u17742)), _u17740)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u17743)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_sorted__rev__nth__mono ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_sorted__rev__nth__mono-1, axiom, ( ~class_Orderings_Olinorder(_u17744) | ~c_List_Olinorder__class_Osorted(_u17744, hAPP(c_List_Orev(_u17744), _u17745)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17746), _u17747)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17747), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17744)), _u17745))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17744), hAPP(hAPP(c_List_Onth(_u17744), _u17745), _u17747)), hAPP(hAPP(c_List_Onth(_u17744), _u17745), _u17746))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_foldr__max__sorted ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_foldr__max__sorted-1, axiom, ( ~class_Orderings_Olinorder(_u17748) | ~c_List_Olinorder__class_Osorted(_u17748, hAPP(c_List_Orev(_u17748), _u17749)) | ( _u17749 != c_List_Olist_ONil(_u17748)) | ( c_List_Ofoldr(_u17748, _u17748, c_Orderings_Oord__class_Omax(_u17748), _u17749, _u17750) = _u17750) )).
% 39.89/40.10 cnf(fact_foldr__max__sorted-2, axiom, ( ~class_Orderings_Olinorder(_u17748) | ~c_List_Olinorder__class_Osorted(_u17748, hAPP(c_List_Orev(_u17748), _u17749)) | ( _u17749 = c_List_Olist_ONil(_u17748)) | ( c_List_Ofoldr(_u17748, _u17748, c_Orderings_Oord__class_Omax(_u17748), _u17749, _u17750) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u17748), hAPP(hAPP(c_List_Onth(_u17748), _u17749), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u17750)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_length__transpose__sorted ( axiom ) converted to clauses:
% 39.89/40.10 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(_u17751), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u17751))), _u17752))) | ( _u17752 != c_List_Olist_ONil(tc_List_Olist(_u17751))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17751))), c_List_Otranspose(_u17751, _u17752)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.10 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(_u17751), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u17751))), _u17752))) | ( _u17752 = c_List_Olist_ONil(tc_List_Olist(_u17751))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17751))), c_List_Otranspose(_u17751, _u17752)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17751)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u17751)), _u17752), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_transpose__column__length ( axiom ) converted to clauses:
% 39.89/40.10 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(_u17753), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u17753))), _u17754))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17755), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17753))), _u17754))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17753))), hAPP(c_List_Ofilter(tc_List_Olist(_u17753), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u17753)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17755)), c_Nat_Osize__class_Osize(tc_List_Olist(_u17753)))), c_List_Otranspose(_u17753, _u17754))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17753)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u17753)), _u17754), _u17755))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_transpose__transpose ( axiom ) converted to clauses:
% 39.89/40.10 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(_u17756), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u17756))), _u17757))) | ( c_List_Otranspose(_u17756, c_List_Otranspose(_u17756, _u17757)) = c_List_OtakeWhile(tc_List_Olist(_u17756), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u17756)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17756), tc_List_Olist(_u17756), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u17756))), _u17757)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_sorted__nth__monoI ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_sorted__nth__monoI-1, axiom, ( ~class_Orderings_Olinorder(_u17760) | c_List_Olinorder__class_Osorted(_u17760, _u17761) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem411(_u17761, _u17760)), skolem412(_u17761, _u17760))) )).
% 39.89/40.10 cnf(fact_sorted__nth__monoI-2, axiom, ( ~class_Orderings_Olinorder(_u17760) | c_List_Olinorder__class_Osorted(_u17760, _u17761) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem412(_u17761, _u17760)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17760)), _u17761))) )).
% 39.89/40.10 cnf(fact_sorted__nth__monoI-3, axiom, ( ~class_Orderings_Olinorder(_u17760) | c_List_Olinorder__class_Osorted(_u17760, _u17761) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17760), hAPP(hAPP(c_List_Onth(_u17760), _u17761), skolem411(_u17761, _u17760))), hAPP(hAPP(c_List_Onth(_u17760), _u17761), skolem412(_u17761, _u17760)))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_sorted__takeWhile ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_sorted__takeWhile-1, axiom, ( ~class_Orderings_Olinorder(_u17762) | ~c_List_Olinorder__class_Osorted(_u17762, _u17763) | c_List_Olinorder__class_Osorted(_u17762, c_List_OtakeWhile(_u17762, _u17764, _u17763)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_takeWhile__tail ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_takeWhile__tail-1, axiom, ( hBOOL(hAPP(_u17765, _u17766)) | ( c_List_OtakeWhile(_u17767, _u17765, hAPP(hAPP(c_List_Oappend(_u17767), _u17768), hAPP(hAPP(c_List_Olist_OCons(_u17767), _u17766), _u17769))) = c_List_OtakeWhile(_u17767, _u17765, _u17768)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_takeWhile_Osimps_I1_J ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_takeWhile_Osimps_I1_J-1, axiom, ( ( c_List_OtakeWhile(_u17770, _u17771, c_List_Olist_ONil(_u17770)) = c_List_Olist_ONil(_u17770)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_length__takeWhile__le ( axiom ) converted to clauses:
% 39.89/40.10 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(_u17772)), c_List_OtakeWhile(_u17772, _u17773, _u17774))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17772)), _u17774))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_takeWhile__eq__take ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_takeWhile__eq__take-1, axiom, ( ( c_List_OtakeWhile(_u17775, _u17776, _u17777) = hAPP(hAPP(c_List_Otake(_u17775), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17775)), c_List_OtakeWhile(_u17775, _u17776, _u17777))), _u17777)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_distinct__takeWhile ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_distinct__takeWhile-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17778), _u17779)) | hBOOL(hAPP(c_List_Odistinct(_u17778), c_List_OtakeWhile(_u17778, _u17780, _u17779))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_takeWhile_Osimps_I2_J ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_takeWhile_Osimps_I2_J-1, axiom, ( ~hBOOL(hAPP(_u17785, _u17787)) | ( c_List_OtakeWhile(_u17789, _u17785, hAPP(hAPP(c_List_Olist_OCons(_u17789), _u17787), _u17791)) = hAPP(hAPP(c_List_Olist_OCons(_u17789), _u17787), c_List_OtakeWhile(_u17789, _u17785, _u17791))) )).
% 39.89/40.10 cnf(fact_takeWhile_Osimps_I2_J-2, axiom, ( hBOOL(hAPP(_u17786, _u17788)) | ( c_List_OtakeWhile(_u17790, _u17786, hAPP(hAPP(c_List_Olist_OCons(_u17790), _u17788), _u17792)) = c_List_Olist_ONil(_u17790)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_set__takeWhileD ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_set__takeWhileD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u17793), _u17794), hAPP(c_List_Oset(_u17793), c_List_OtakeWhile(_u17793, _u17795, _u17796)))) | hBOOL(hAPP(hAPP(c_member(_u17793), _u17794), hAPP(c_List_Oset(_u17793), _u17796))) )).
% 39.89/40.10 cnf(fact_set__takeWhileD-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u17793), _u17794), hAPP(c_List_Oset(_u17793), c_List_OtakeWhile(_u17793, _u17795, _u17796)))) | hBOOL(hAPP(_u17795, _u17794)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_takeWhile__eq__all__conv ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_takeWhile__eq__all__conv-1, axiom, ( ( c_List_OtakeWhile(_u17802, _u17804, _u17806) != _u17806) | ~hBOOL(hAPP(hAPP(c_member(_u17802), _u17797), hAPP(c_List_Oset(_u17802), _u17806))) | hBOOL(hAPP(_u17804, _u17797)) )).
% 39.89/40.10 cnf(fact_takeWhile__eq__all__conv-2, axiom, ( ( c_List_OtakeWhile(_u17803, _u17805, _u17807) = _u17807) | hBOOL(hAPP(hAPP(c_member(_u17803), skolem413(_u17807, _u17805, _u17803)), hAPP(c_List_Oset(_u17803), _u17807))) )).
% 39.89/40.10 cnf(fact_takeWhile__eq__all__conv-3, axiom, ( ( c_List_OtakeWhile(_u17803, _u17805, _u17807) = _u17807) | ~hBOOL(hAPP(_u17805, skolem413(_u17807, _u17805, _u17803))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_zip__takeWhile__fst ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_zip__takeWhile__fst-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u17808, _u17809), c_List_OtakeWhile(_u17808, _u17810, _u17811)), _u17812) = c_List_OtakeWhile(tc_prod(_u17808, _u17809), hAPP(c_Fun_Ocomp(_u17808, tc_HOL_Obool, tc_prod(_u17808, _u17809), _u17810), c_Product__Type_Ofst(_u17808, _u17809)), hAPP(hAPP(c_List_Ozip(_u17808, _u17809), _u17811), _u17812))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_zip__takeWhile__snd ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_zip__takeWhile__snd-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u17813, _u17814), _u17815), c_List_OtakeWhile(_u17814, _u17816, _u17817)) = c_List_OtakeWhile(tc_prod(_u17813, _u17814), hAPP(c_Fun_Ocomp(_u17814, tc_HOL_Obool, tc_prod(_u17813, _u17814), _u17816), c_Product__Type_Osnd(_u17813, _u17814)), hAPP(hAPP(c_List_Ozip(_u17813, _u17814), _u17815), _u17817))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_takeWhile__map ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_takeWhile__map-1, axiom, ( ( c_List_OtakeWhile(_u17818, _u17819, hAPP(hAPP(c_List_Omap(_u17820, _u17818), _u17821), _u17822)) = hAPP(hAPP(c_List_Omap(_u17820, _u17818), _u17821), c_List_OtakeWhile(_u17820, hAPP(c_Fun_Ocomp(_u17818, tc_HOL_Obool, _u17820, _u17819), _u17821), _u17822))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_takeWhile__append1 ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_takeWhile__append1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u17823), _u17824), hAPP(c_List_Oset(_u17823), _u17825))) | hBOOL(hAPP(_u17826, _u17824)) | ( c_List_OtakeWhile(_u17823, _u17826, hAPP(hAPP(c_List_Oappend(_u17823), _u17825), _u17827)) = c_List_OtakeWhile(_u17823, _u17826, _u17825)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_takeWhile__nth ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_takeWhile__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17828), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17829)), c_List_OtakeWhile(_u17829, _u17830, _u17831)))) | ( hAPP(hAPP(c_List_Onth(_u17829), c_List_OtakeWhile(_u17829, _u17830, _u17831)), _u17828) = hAPP(hAPP(c_List_Onth(_u17829), _u17831), _u17828)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_nth__length__takeWhile ( axiom ) converted to clauses:
% 39.89/40.10 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(_u17832)), c_List_OtakeWhile(_u17832, _u17833, _u17834))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17832)), _u17834))) | ~hBOOL(hAPP(_u17833, hAPP(hAPP(c_List_Onth(_u17832), _u17834), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17832)), c_List_OtakeWhile(_u17832, _u17833, _u17834))))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_map__upds__def ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_map__upds__def-1, axiom, ( ( c_Map_Omap__upds(_u17835, _u17836, _u17837, _u17838, _u17839) = c_Map_Omap__add(_u17835, _u17836, _u17837, hAPP(c_Map_Omap__of(_u17835, _u17836), hAPP(c_List_Orev(tc_prod(_u17835, _u17836)), hAPP(hAPP(c_List_Ozip(_u17835, _u17836), _u17838), _u17839))))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_filter__equals__takeWhile__sorted__rev ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_filter__equals__takeWhile__sorted__rev-1, axiom, ( ~class_Orderings_Olinorder(_u17840) | ~c_List_Olinorder__class_Osorted(_u17840, hAPP(c_List_Orev(_u17840), hAPP(hAPP(c_List_Omap(_u17841, _u17840), _u17842), _u17843))) | ( hAPP(c_List_Ofilter(_u17841, hAPP(hAPP(c_COMBB(_u17840, tc_HOL_Obool, _u17841), hAPP(c_Orderings_Oord__class_Oless(_u17840), _u17844)), _u17842)), _u17843) = c_List_OtakeWhile(_u17841, hAPP(hAPP(c_COMBB(_u17840, tc_HOL_Obool, _u17841), hAPP(c_Orderings_Oord__class_Oless(_u17840), _u17844)), _u17842), _u17843)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_takeWhile__neq__rev ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_takeWhile__neq__rev-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17845), _u17846)) | ~hBOOL(hAPP(hAPP(c_member(_u17845), _u17847), hAPP(c_List_Oset(_u17845), _u17846))) | ( c_List_OtakeWhile(_u17845, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u17845), c_fNot), hAPP(hAPP(c_COMBC(_u17845, _u17845, tc_HOL_Obool), c_fequal), _u17847)), hAPP(c_List_Orev(_u17845), _u17846)) = hAPP(c_List_Orev(_u17845), hAPP(c_List_Otl(_u17845), c_List_OdropWhile(_u17845, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u17845), c_fNot), hAPP(hAPP(c_COMBC(_u17845, _u17845, tc_HOL_Obool), c_fequal), _u17847)), _u17846)))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_dropWhile__neq__rev ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_dropWhile__neq__rev-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17848), _u17849)) | ~hBOOL(hAPP(hAPP(c_member(_u17848), _u17850), hAPP(c_List_Oset(_u17848), _u17849))) | ( c_List_OdropWhile(_u17848, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u17848), c_fNot), hAPP(hAPP(c_COMBC(_u17848, _u17848, tc_HOL_Obool), c_fequal), _u17850)), hAPP(c_List_Orev(_u17848), _u17849)) = hAPP(hAPP(c_List_Olist_OCons(_u17848), _u17850), hAPP(c_List_Orev(_u17848), c_List_OtakeWhile(_u17848, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u17848), c_fNot), hAPP(hAPP(c_COMBC(_u17848, _u17848, tc_HOL_Obool), c_fequal), _u17850)), _u17849)))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_length__dropWhile__le ( axiom ) converted to clauses:
% 39.89/40.10 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(_u17851)), c_List_OdropWhile(_u17851, _u17852, _u17853))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17851)), _u17853))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_dropWhile_Osimps_I2_J ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_dropWhile_Osimps_I2_J-1, axiom, ( ~hBOOL(hAPP(_u17858, _u17860)) | ( c_List_OdropWhile(_u17862, _u17858, hAPP(hAPP(c_List_Olist_OCons(_u17862), _u17860), _u17864)) = c_List_OdropWhile(_u17862, _u17858, _u17864)) )).
% 39.89/40.10 cnf(fact_dropWhile_Osimps_I2_J-2, axiom, ( hBOOL(hAPP(_u17859, _u17861)) | ( c_List_OdropWhile(_u17863, _u17859, hAPP(hAPP(c_List_Olist_OCons(_u17863), _u17861), _u17865)) = hAPP(hAPP(c_List_Olist_OCons(_u17863), _u17861), _u17865)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_distinct__dropWhile ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_distinct__dropWhile-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17866), _u17867)) | hBOOL(hAPP(c_List_Odistinct(_u17866), c_List_OdropWhile(_u17866, _u17868, _u17867))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_dropWhile_Osimps_I1_J ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_dropWhile_Osimps_I1_J-1, axiom, ( ( c_List_OdropWhile(_u17869, _u17870, c_List_Olist_ONil(_u17869)) = c_List_Olist_ONil(_u17869)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_dropWhile__eq__Nil__conv ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_dropWhile__eq__Nil__conv-1, axiom, ( ( c_List_OdropWhile(_u17876, _u17878, _u17880) != c_List_Olist_ONil(_u17876)) | ~hBOOL(hAPP(hAPP(c_member(_u17876), _u17871), hAPP(c_List_Oset(_u17876), _u17880))) | hBOOL(hAPP(_u17878, _u17871)) )).
% 39.89/40.10 cnf(fact_dropWhile__eq__Nil__conv-2, axiom, ( ( c_List_OdropWhile(_u17877, _u17879, _u17881) = c_List_Olist_ONil(_u17877)) | hBOOL(hAPP(hAPP(c_member(_u17877), skolem414(_u17881, _u17879, _u17877)), hAPP(c_List_Oset(_u17877), _u17881))) )).
% 39.89/40.10 cnf(fact_dropWhile__eq__Nil__conv-3, axiom, ( ( c_List_OdropWhile(_u17877, _u17879, _u17881) = c_List_Olist_ONil(_u17877)) | ~hBOOL(hAPP(_u17879, skolem414(_u17881, _u17879, _u17877))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_sorted__dropWhile ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_sorted__dropWhile-1, axiom, ( ~class_Orderings_Olinorder(_u17882) | ~c_List_Olinorder__class_Osorted(_u17882, _u17883) | c_List_Olinorder__class_Osorted(_u17882, c_List_OdropWhile(_u17882, _u17884, _u17883)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_takeWhile__dropWhile__id ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_takeWhile__dropWhile__id-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u17885), c_List_OtakeWhile(_u17885, _u17886, _u17887)), c_List_OdropWhile(_u17885, _u17886, _u17887)) = _u17887) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_hd__dropWhile ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_hd__dropWhile-1, axiom, ( ( c_List_OdropWhile(_u17888, _u17889, _u17890) = c_List_Olist_ONil(_u17888)) | ~hBOOL(hAPP(_u17889, hAPP(c_List_Ohd(_u17888), c_List_OdropWhile(_u17888, _u17889, _u17890)))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_dropWhile__map ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_dropWhile__map-1, axiom, ( ( c_List_OdropWhile(_u17891, _u17892, hAPP(hAPP(c_List_Omap(_u17893, _u17891), _u17894), _u17895)) = hAPP(hAPP(c_List_Omap(_u17893, _u17891), _u17894), c_List_OdropWhile(_u17893, hAPP(c_Fun_Ocomp(_u17891, tc_HOL_Obool, _u17893, _u17892), _u17894), _u17895))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_dropWhile__append1 ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_dropWhile__append1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u17896), _u17897), hAPP(c_List_Oset(_u17896), _u17898))) | hBOOL(hAPP(_u17899, _u17897)) | ( c_List_OdropWhile(_u17896, _u17899, hAPP(hAPP(c_List_Oappend(_u17896), _u17898), _u17900)) = hAPP(hAPP(c_List_Oappend(_u17896), c_List_OdropWhile(_u17896, _u17899, _u17898)), _u17900)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_dropWhile__eq__Cons__conv ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_dropWhile__eq__Cons__conv-1, axiom, ( ( c_List_OdropWhile(_u17906, _u17908, _u17910) != hAPP(hAPP(c_List_Olist_OCons(_u17906), _u17912), _u17914)) | ( _u17910 = hAPP(hAPP(c_List_Oappend(_u17906), c_List_OtakeWhile(_u17906, _u17908, _u17910)), hAPP(hAPP(c_List_Olist_OCons(_u17906), _u17912), _u17914))) )).
% 39.89/40.10 cnf(fact_dropWhile__eq__Cons__conv-2, axiom, ( ( c_List_OdropWhile(_u17906, _u17908, _u17910) != hAPP(hAPP(c_List_Olist_OCons(_u17906), _u17912), _u17914)) | ~hBOOL(hAPP(_u17908, _u17912)) )).
% 39.89/40.10 cnf(fact_dropWhile__eq__Cons__conv-3, axiom, ( ( _u17911 != hAPP(hAPP(c_List_Oappend(_u17907), c_List_OtakeWhile(_u17907, _u17909, _u17911)), hAPP(hAPP(c_List_Olist_OCons(_u17907), _u17913), _u17915))) | hBOOL(hAPP(_u17909, _u17913)) | ( c_List_OdropWhile(_u17907, _u17909, _u17911) = hAPP(hAPP(c_List_Olist_OCons(_u17907), _u17913), _u17915)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_dropWhile__eq__drop ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_dropWhile__eq__drop-1, axiom, ( ( c_List_OdropWhile(_u17916, _u17917, _u17918) = hAPP(hAPP(c_List_Odrop(_u17916), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17916)), c_List_OtakeWhile(_u17916, _u17917, _u17918))), _u17918)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_dropWhile__nth ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_dropWhile__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17919), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17920)), c_List_OdropWhile(_u17920, _u17921, _u17922)))) | ( hAPP(hAPP(c_List_Onth(_u17920), c_List_OdropWhile(_u17920, _u17921, _u17922)), _u17919) = hAPP(hAPP(c_List_Onth(_u17920), _u17922), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17919), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17920)), c_List_OtakeWhile(_u17920, _u17921, _u17922))))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_sort__foldl__insort ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_sort__foldl__insort-1, axiom, ( ~class_Orderings_Olinorder(_u17923) | ( c_List_Olinorder__class_Osort__key(_u17923, _u17923, c_COMBI(_u17923), _u17924) = hAPP(c_List_Ofoldl(tc_List_Olist(_u17923), _u17923, hAPP(c_COMBC(_u17923, tc_List_Olist(_u17923), tc_List_Olist(_u17923)), c_List_Olinorder__class_Oinsort__key(_u17923, _u17923, c_COMBI(_u17923))), c_List_Olist_ONil(_u17923)), _u17924)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_lexord__Nil__left ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_lexord__Nil__left-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17932), tc_List_Olist(_u17932))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17932), tc_List_Olist(_u17932)), c_List_Olist_ONil(_u17932)), _u17934)), c_List_Olexord(_u17932, _u17936))) | ( _u17934 = hAPP(hAPP(c_List_Olist_OCons(_u17932), skolem415(_u17936, _u17934, _u17932)), skolem416(_u17936, _u17934, _u17932))) )).
% 39.89/40.10 cnf(fact_lexord__Nil__left-2, axiom, ( ( _u17935 != hAPP(hAPP(c_List_Olist_OCons(_u17933), _u17928), _u17927)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17933), tc_List_Olist(_u17933))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17933), tc_List_Olist(_u17933)), c_List_Olist_ONil(_u17933)), _u17935)), c_List_Olexord(_u17933, _u17937))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_sorted__sort ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_sorted__sort-1, axiom, ( ~class_Orderings_Olinorder(_u17938) | c_List_Olinorder__class_Osorted(_u17938, c_List_Olinorder__class_Osort__key(_u17938, _u17938, c_COMBI(_u17938), _u17939)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_sort__key__simps_I1_J ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_sort__key__simps_I1_J-1, axiom, ( ~class_Orderings_Olinorder(_u17940) | ( c_List_Olinorder__class_Osort__key(_u17941, _u17940, _u17942, c_List_Olist_ONil(_u17941)) = c_List_Olist_ONil(_u17941)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_length__sort ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_length__sort-1, axiom, ( ~class_Orderings_Olinorder(_u17943) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17944)), c_List_Olinorder__class_Osort__key(_u17944, _u17943, _u17945, _u17946)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17944)), _u17946)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_filter__sort ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_filter__sort-1, axiom, ( ~class_Orderings_Olinorder(_u17947) | ( hAPP(c_List_Ofilter(_u17948, _u17949), c_List_Olinorder__class_Osort__key(_u17948, _u17947, _u17950, _u17951)) = c_List_Olinorder__class_Osort__key(_u17948, _u17947, _u17950, hAPP(c_List_Ofilter(_u17948, _u17949), _u17951))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_distinct__sort ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_distinct__sort-1, axiom, ( ~class_Orderings_Olinorder(_u17952) | ~hBOOL(hAPP(c_List_Odistinct(_u17953), c_List_Olinorder__class_Osort__key(_u17953, _u17952, _u17954, _u17955))) | hBOOL(hAPP(c_List_Odistinct(_u17953), _u17955)) )).
% 39.89/40.10 cnf(fact_distinct__sort-2, axiom, ( ~class_Orderings_Olinorder(_u17952) | ~hBOOL(hAPP(c_List_Odistinct(_u17953), _u17955)) | hBOOL(hAPP(c_List_Odistinct(_u17953), c_List_Olinorder__class_Osort__key(_u17953, _u17952, _u17954, _u17955))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_set__sort ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_set__sort-1, axiom, ( ~class_Orderings_Olinorder(_u17956) | ( hAPP(c_List_Oset(_u17957), c_List_Olinorder__class_Osort__key(_u17957, _u17956, _u17958, _u17959)) = hAPP(c_List_Oset(_u17957), _u17959)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_sorted__sort__key ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_sorted__sort__key-1, axiom, ( ~class_Orderings_Olinorder(_u17960) | c_List_Olinorder__class_Osorted(_u17960, hAPP(hAPP(c_List_Omap(_u17961, _u17960), _u17962), c_List_Olinorder__class_Osort__key(_u17961, _u17960, _u17962, _u17963))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_sort__key__simps_I2_J ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_sort__key__simps_I2_J-1, axiom, ( ~class_Orderings_Olinorder(_u17964) | ( c_List_Olinorder__class_Osort__key(_u17965, _u17964, _u17966, hAPP(hAPP(c_List_Olist_OCons(_u17965), _u17967), _u17968)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17965, _u17964, _u17966), _u17967), c_List_Olinorder__class_Osort__key(_u17965, _u17964, _u17966, _u17968))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_sorted__list__of__set__sort__remdups ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_sorted__list__of__set__sort__remdups-1, axiom, ( ~class_Orderings_Olinorder(_u17969) | ( c_List_Olinorder__class_Osorted__list__of__set(_u17969, hAPP(c_List_Oset(_u17969), _u17970)) = c_List_Olinorder__class_Osort__key(_u17969, _u17969, c_COMBI(_u17969), c_List_Oremdups(_u17969, _u17970))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_last__list__update ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_last__list__update-1, axiom, ( ( _u17971 = c_List_Olist_ONil(_u17972)) | ( _u17973 != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17972)), _u17971)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Olast(_u17972, hAPP(hAPP(c_List_Olist__update(_u17972, _u17971), _u17973), _u17974)) = _u17974) )).
% 39.89/40.10 cnf(fact_last__list__update-2, axiom, ( ( _u17971 = c_List_Olist_ONil(_u17972)) | ( _u17973 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17972)), _u17971)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Olast(_u17972, hAPP(hAPP(c_List_Olist__update(_u17972, _u17971), _u17973), _u17974)) = c_List_Olast(_u17972, _u17971)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_takeWhile__eq__filter ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_takeWhile__eq__filter-1, axiom, ( ( c_List_OtakeWhile(_u17976, _u17977, _u17978) = hAPP(c_List_Ofilter(_u17976, _u17977), _u17978)) | hBOOL(hAPP(hAPP(c_member(_u17976), skolem417(_u17978, _u17977, _u17976)), hAPP(c_List_Oset(_u17976), c_List_OdropWhile(_u17976, _u17977, _u17978)))) )).
% 39.89/40.10 cnf(fact_takeWhile__eq__filter-2, axiom, ( ( c_List_OtakeWhile(_u17976, _u17977, _u17978) = hAPP(c_List_Ofilter(_u17976, _u17977), _u17978)) | hBOOL(hAPP(_u17977, skolem417(_u17978, _u17977, _u17976))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_last__map ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_last__map-1, axiom, ( ( _u17979 = c_List_Olist_ONil(_u17980)) | ( c_List_Olast(_u17981, hAPP(hAPP(c_List_Omap(_u17980, _u17981), _u17982), _u17979)) = hAPP(_u17982, c_List_Olast(_u17980, _u17979))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_last__append ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_last__append-1, axiom, ( ( _u17986 != c_List_Olist_ONil(_u17988)) | ( c_List_Olast(_u17988, hAPP(hAPP(c_List_Oappend(_u17988), _u17990), _u17986)) = c_List_Olast(_u17988, _u17990)) )).
% 39.89/40.10 cnf(fact_last__append-2, axiom, ( ( _u17987 = c_List_Olist_ONil(_u17989)) | ( c_List_Olast(_u17989, hAPP(hAPP(c_List_Oappend(_u17989), _u17991), _u17987)) = c_List_Olast(_u17989, _u17987)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_last__appendR ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_last__appendR-1, axiom, ( ( _u17992 = c_List_Olist_ONil(_u17993)) | ( c_List_Olast(_u17993, hAPP(hAPP(c_List_Oappend(_u17993), _u17994), _u17992)) = c_List_Olast(_u17993, _u17992)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_last__appendL ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_last__appendL-1, axiom, ( ( _u17995 != c_List_Olist_ONil(_u17996)) | ( c_List_Olast(_u17996, hAPP(hAPP(c_List_Oappend(_u17996), _u17997), _u17995)) = c_List_Olast(_u17996, _u17997)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_last__ConsL ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_last__ConsL-1, axiom, ( ( _u17998 != c_List_Olist_ONil(_u17999)) | ( c_List_Olast(_u17999, hAPP(hAPP(c_List_Olist_OCons(_u17999), _u18000), _u17998)) = _u18000) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_last__ConsR ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_last__ConsR-1, axiom, ( ( _u18001 = c_List_Olist_ONil(_u18002)) | ( c_List_Olast(_u18002, hAPP(hAPP(c_List_Olist_OCons(_u18002), _u18003), _u18001)) = c_List_Olast(_u18002, _u18001)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_last_Osimps ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_last_Osimps-1, axiom, ( ( _u18007 != c_List_Olist_ONil(_u18009)) | ( c_List_Olast(_u18009, hAPP(hAPP(c_List_Olist_OCons(_u18009), _u18011), _u18007)) = _u18011) )).
% 39.89/40.10 cnf(fact_last_Osimps-2, axiom, ( ( _u18008 = c_List_Olist_ONil(_u18010)) | ( c_List_Olast(_u18010, hAPP(hAPP(c_List_Olist_OCons(_u18010), _u18012), _u18008)) = c_List_Olast(_u18010, _u18008)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_last__in__set ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_last__in__set-1, axiom, ( ( _u18013 = c_List_Olist_ONil(_u18014)) | hBOOL(hAPP(hAPP(c_member(_u18014), c_List_Olast(_u18014, _u18013)), hAPP(c_List_Oset(_u18014), _u18013))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_last__snoc ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_last__snoc-1, axiom, ( ( c_List_Olast(_u18015, hAPP(hAPP(c_List_Oappend(_u18015), _u18016), hAPP(hAPP(c_List_Olist_OCons(_u18015), _u18017), c_List_Olist_ONil(_u18015)))) = _u18017) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_last__drop ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_last__drop-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18018), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18019)), _u18020))) | ( c_List_Olast(_u18019, hAPP(hAPP(c_List_Odrop(_u18019), _u18018), _u18020)) = c_List_Olast(_u18019, _u18020)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_last__rev ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_last__rev-1, axiom, ( ( _u18021 = c_List_Olist_ONil(_u18022)) | ( c_List_Olast(_u18022, hAPP(c_List_Orev(_u18022), _u18021)) = hAPP(c_List_Ohd(_u18022), _u18021)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_hd__rev ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_hd__rev-1, axiom, ( ( _u18023 = c_List_Olist_ONil(_u18024)) | ( hAPP(c_List_Ohd(_u18024), hAPP(c_List_Orev(_u18024), _u18023)) = c_List_Olast(_u18024, _u18023)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_last__upt ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_last__upt-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18025), _u18026)) | ( c_List_Olast(tc_Nat_Onat, c_List_Oupt(_u18025, _u18026)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u18026), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_snoc__eq__iff__butlast ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_snoc__eq__iff__butlast-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u18031), _u18033), hAPP(hAPP(c_List_Olist_OCons(_u18031), _u18035), c_List_Olist_ONil(_u18031))) != _u18037) | ( _u18037 != c_List_Olist_ONil(_u18031)) )).
% 39.89/40.10 cnf(fact_snoc__eq__iff__butlast-2, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u18031), _u18033), hAPP(hAPP(c_List_Olist_OCons(_u18031), _u18035), c_List_Olist_ONil(_u18031))) != _u18037) | ( c_List_Obutlast(_u18031, _u18037) = _u18033) )).
% 39.89/40.10 cnf(fact_snoc__eq__iff__butlast-3, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u18031), _u18033), hAPP(hAPP(c_List_Olist_OCons(_u18031), _u18035), c_List_Olist_ONil(_u18031))) != _u18037) | ( c_List_Olast(_u18031, _u18037) = _u18035) )).
% 39.89/40.10 cnf(fact_snoc__eq__iff__butlast-4, axiom, ( ( _u18038 = c_List_Olist_ONil(_u18032)) | ( c_List_Obutlast(_u18032, _u18038) != _u18034) | ( c_List_Olast(_u18032, _u18038) != _u18036) | ( hAPP(hAPP(c_List_Oappend(_u18032), _u18034), hAPP(hAPP(c_List_Olist_OCons(_u18032), _u18036), c_List_Olist_ONil(_u18032))) = _u18038) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_append__butlast__last__id ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_append__butlast__last__id-1, axiom, ( ( _u18039 = c_List_Olist_ONil(_u18040)) | ( hAPP(hAPP(c_List_Oappend(_u18040), c_List_Obutlast(_u18040, _u18039)), hAPP(hAPP(c_List_Olist_OCons(_u18040), c_List_Olast(_u18040, _u18039)), c_List_Olist_ONil(_u18040))) = _u18039) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_takeWhile__not__last ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_takeWhile__not__last-1, axiom, ( ( _u18041 = c_List_Olist_ONil(_u18042)) | ~hBOOL(hAPP(c_List_Odistinct(_u18042), _u18041)) | ( c_List_OtakeWhile(_u18042, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18042), c_fNot), hAPP(hAPP(c_COMBC(_u18042, _u18042, tc_HOL_Obool), c_fequal), c_List_Olast(_u18042, _u18041))), _u18041) = c_List_Obutlast(_u18042, _u18041)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_last__conv__nth ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_last__conv__nth-1, axiom, ( ( _u18043 = c_List_Olist_ONil(_u18044)) | ( c_List_Olast(_u18044, _u18043) = hAPP(hAPP(c_List_Onth(_u18044), _u18043), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18044)), _u18043)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_lists_Osimps ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_lists_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18052)), _u18054), c_List_Olists(_u18052, _u18056))) | ( _u18054 = c_List_Olist_ONil(_u18052)) | hBOOL(hAPP(hAPP(c_member(_u18052), skolem418(_u18056, _u18054, _u18052)), _u18056)) )).
% 39.89/40.10 cnf(fact_lists_Osimps-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18052)), _u18054), c_List_Olists(_u18052, _u18056))) | ( _u18054 = c_List_Olist_ONil(_u18052)) | ( _u18054 = hAPP(hAPP(c_List_Olist_OCons(_u18052), skolem418(_u18056, _u18054, _u18052)), skolem419(_u18056, _u18054, _u18052))) )).
% 39.89/40.10 cnf(fact_lists_Osimps-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18052)), _u18054), c_List_Olists(_u18052, _u18056))) | ( _u18054 = c_List_Olist_ONil(_u18052)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18052)), skolem419(_u18056, _u18054, _u18052)), c_List_Olists(_u18052, _u18056))) )).
% 39.89/40.10 cnf(fact_lists_Osimps-4, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18053)), _u18055), c_List_Olists(_u18053, _u18057))) | ( _u18055 != c_List_Olist_ONil(_u18053)) )).
% 39.89/40.10 cnf(fact_lists_Osimps-5, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18053)), _u18055), c_List_Olists(_u18053, _u18057))) | ~hBOOL(hAPP(hAPP(c_member(_u18053), _u18048), _u18057)) | ( _u18055 != hAPP(hAPP(c_List_Olist_OCons(_u18053), _u18048), _u18047)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18053)), _u18047), c_List_Olists(_u18053, _u18057))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_takeWhile__eq__take__P__nth ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_takeWhile__eq__take__P__nth-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem420(_u18062, _u18061, _u18060, _u18059)), _u18059)) | ( c_List_OtakeWhile(_u18060, _u18062, _u18061) = hAPP(hAPP(c_List_Otake(_u18060), _u18059), _u18061)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18059), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18060)), _u18061))) )).
% 39.89/40.10 cnf(fact_takeWhile__eq__take__P__nth-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem420(_u18062, _u18061, _u18060, _u18059)), _u18059)) | ( c_List_OtakeWhile(_u18060, _u18062, _u18061) = hAPP(hAPP(c_List_Otake(_u18060), _u18059), _u18061)) | hBOOL(hAPP(_u18062, hAPP(hAPP(c_List_Onth(_u18060), _u18061), _u18059))) )).
% 39.89/40.10 cnf(fact_takeWhile__eq__take__P__nth-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem420(_u18062, _u18061, _u18060, _u18059)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18060)), _u18061))) | ( c_List_OtakeWhile(_u18060, _u18062, _u18061) = hAPP(hAPP(c_List_Otake(_u18060), _u18059), _u18061)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18059), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18060)), _u18061))) )).
% 39.89/40.10 cnf(fact_takeWhile__eq__take__P__nth-4, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem420(_u18062, _u18061, _u18060, _u18059)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18060)), _u18061))) | ( c_List_OtakeWhile(_u18060, _u18062, _u18061) = hAPP(hAPP(c_List_Otake(_u18060), _u18059), _u18061)) | hBOOL(hAPP(_u18062, hAPP(hAPP(c_List_Onth(_u18060), _u18061), _u18059))) )).
% 39.89/40.10 cnf(fact_takeWhile__eq__take__P__nth-5, axiom, ( ~hBOOL(hAPP(_u18062, hAPP(hAPP(c_List_Onth(_u18060), _u18061), skolem420(_u18062, _u18061, _u18060, _u18059)))) | ( c_List_OtakeWhile(_u18060, _u18062, _u18061) = hAPP(hAPP(c_List_Otake(_u18060), _u18059), _u18061)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18059), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18060)), _u18061))) )).
% 39.89/40.10 cnf(fact_takeWhile__eq__take__P__nth-6, axiom, ( ~hBOOL(hAPP(_u18062, hAPP(hAPP(c_List_Onth(_u18060), _u18061), skolem420(_u18062, _u18061, _u18060, _u18059)))) | ( c_List_OtakeWhile(_u18060, _u18062, _u18061) = hAPP(hAPP(c_List_Otake(_u18060), _u18059), _u18061)) | hBOOL(hAPP(_u18062, hAPP(hAPP(c_List_Onth(_u18060), _u18061), _u18059))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_length__takeWhile__less__P__nth ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_length__takeWhile__less__P__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18064), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18066)), _u18067))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18064), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18066)), c_List_OtakeWhile(_u18066, _u18065, _u18067)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem421(_u18067, _u18066, _u18065, _u18064)), _u18064)) )).
% 39.89/40.10 cnf(fact_length__takeWhile__less__P__nth-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18064), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18066)), _u18067))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18064), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18066)), c_List_OtakeWhile(_u18066, _u18065, _u18067)))) | ~hBOOL(hAPP(_u18065, hAPP(hAPP(c_List_Onth(_u18066), _u18067), skolem421(_u18067, _u18066, _u18065, _u18064)))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_INFI__set__fold ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_INFI__set__fold-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u18068) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18069, _u18068), hAPP(c_List_Oset(_u18069), _u18070)), _u18071) = hAPP(c_List_Ofoldl(_u18068, _u18069, hAPP(c_COMBC(_u18069, _u18068, _u18068), hAPP(hAPP(c_COMBB(_u18068, tc_fun(_u18068, _u18068), _u18069), c_Lattices_Osemilattice__inf__class_Oinf(_u18068)), _u18071)), c_Orderings_Otop__class_Otop(_u18068)), _u18070)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_INT__D ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_INT__D-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18072), _u18073), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18074, tc_fun(_u18072, tc_HOL_Obool)), _u18075), _u18076))) | ~hBOOL(hAPP(hAPP(c_member(_u18074), _u18077), _u18075)) | hBOOL(hAPP(hAPP(c_member(_u18072), _u18073), hAPP(_u18076, _u18077))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_INT__E ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_INT__E-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18078), _u18079), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18080, tc_fun(_u18078, tc_HOL_Obool)), _u18081), _u18082))) | hBOOL(hAPP(hAPP(c_member(_u18078), _u18079), hAPP(_u18082, _u18083))) | ~hBOOL(hAPP(hAPP(c_member(_u18080), _u18083), _u18081)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_INF1__E ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_INF1__E-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18084, tc_fun(_u18085, tc_HOL_Obool)), _u18086), _u18087), _u18088)) | hBOOL(hAPP(hAPP(_u18087, _u18089), _u18088)) | ~hBOOL(hAPP(hAPP(c_member(_u18084), _u18089), _u18086)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_INF1__D ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_INF1__D-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18090, tc_fun(_u18091, tc_HOL_Obool)), _u18092), _u18093), _u18094)) | ~hBOOL(hAPP(hAPP(c_member(_u18090), _u18095), _u18092)) | hBOOL(hAPP(hAPP(_u18093, _u18095), _u18094)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_INF2__D ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_INF2__D-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18096, tc_fun(_u18097, tc_fun(_u18098, tc_HOL_Obool))), _u18099), _u18100), _u18101), _u18102)) | ~hBOOL(hAPP(hAPP(c_member(_u18096), _u18103), _u18099)) | hBOOL(hAPP(hAPP(hAPP(_u18100, _u18103), _u18101), _u18102)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_INF2__E ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_INF2__E-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18104, tc_fun(_u18105, tc_fun(_u18106, tc_HOL_Obool))), _u18107), _u18108), _u18109), _u18110)) | hBOOL(hAPP(hAPP(hAPP(_u18108, _u18111), _u18109), _u18110)) | ~hBOOL(hAPP(hAPP(c_member(_u18104), _u18111), _u18107)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_finite__INT ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_finite__INT-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18113), _u18112), _u18114)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18115), hAPP(_u18116, _u18112))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u18115), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18113, tc_fun(_u18115, tc_HOL_Obool)), _u18114), _u18116))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_INF__subset ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_INF__subset-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u18117) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18118, tc_HOL_Obool)), _u18119), _u18120)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18117), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18118, _u18117), _u18120), _u18121)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18118, _u18117), _u18119), _u18121))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_UN__extend__simps_I7_J ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_UN__extend__simps_I7_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u18122, tc_HOL_Obool)), _u18123), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18124, tc_fun(_u18122, tc_HOL_Obool)), _u18125), _u18126)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u18124, tc_fun(_u18122, tc_HOL_Obool)), _u18125), hAPP(hAPP(c_COMBB(tc_fun(_u18122, tc_HOL_Obool), tc_fun(_u18122, tc_HOL_Obool), _u18124), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u18122, tc_HOL_Obool)), _u18123)), _u18126))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_UN__simps_I7_J ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_UN__simps_I7_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u18127, tc_fun(_u18128, tc_HOL_Obool)), _u18129), hAPP(hAPP(c_COMBB(tc_fun(_u18128, tc_HOL_Obool), tc_fun(_u18128, tc_HOL_Obool), _u18127), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u18128, tc_HOL_Obool)), _u18130)), _u18131)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u18128, tc_HOL_Obool)), _u18130), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18127, tc_fun(_u18128, tc_HOL_Obool)), _u18129), _u18131))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_INT__extend__simps_I9_J ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_INT__extend__simps_I9_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18132, tc_fun(_u18133, tc_HOL_Obool)), _u18134), hAPP(hAPP(c_COMBC(_u18132, tc_fun(_u18135, tc_fun(_u18133, tc_HOL_Obool)), tc_fun(_u18133, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18135, tc_HOL_Obool), tc_fun(tc_fun(_u18135, tc_fun(_u18133, tc_HOL_Obool)), tc_fun(_u18133, tc_HOL_Obool)), _u18132), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18135, tc_fun(_u18133, tc_HOL_Obool))), _u18136)), _u18137)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18135, tc_fun(_u18133, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u18132, tc_fun(_u18135, tc_HOL_Obool)), _u18134), _u18136)), _u18137)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_INT__simps_I9_J ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_INT__simps_I9_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18138, tc_fun(_u18139, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u18140, tc_fun(_u18138, tc_HOL_Obool)), _u18141), _u18142)), _u18143) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18140, tc_fun(_u18139, tc_HOL_Obool)), _u18141), hAPP(hAPP(c_COMBC(_u18140, tc_fun(_u18138, tc_fun(_u18139, tc_HOL_Obool)), tc_fun(_u18139, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18138, tc_HOL_Obool), tc_fun(tc_fun(_u18138, tc_fun(_u18139, tc_HOL_Obool)), tc_fun(_u18139, tc_HOL_Obool)), _u18140), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18138, tc_fun(_u18139, tc_HOL_Obool))), _u18142)), _u18143))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_Compl__UN ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_Compl__UN-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u18144, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u18145, tc_fun(_u18144, tc_HOL_Obool)), _u18146), _u18147)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18145, tc_fun(_u18144, tc_HOL_Obool)), _u18146), hAPP(hAPP(c_COMBB(tc_fun(_u18144, tc_HOL_Obool), tc_fun(_u18144, tc_HOL_Obool), _u18145), c_Groups_Ouminus__class_Ouminus(tc_fun(_u18144, tc_HOL_Obool))), _u18147))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_Compl__INT ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_Compl__INT-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u18148, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18149, tc_fun(_u18148, tc_HOL_Obool)), _u18150), _u18151)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u18149, tc_fun(_u18148, tc_HOL_Obool)), _u18150), hAPP(hAPP(c_COMBB(tc_fun(_u18148, tc_HOL_Obool), tc_fun(_u18148, tc_HOL_Obool), _u18149), c_Groups_Ouminus__class_Ouminus(tc_fun(_u18148, tc_HOL_Obool))), _u18151))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_Collect__ball__eq ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_Collect__ball__eq-1, axiom, ( ( hAPP(c_Set_OCollect(_u18152), hAPP(hAPP(c_COMBB(tc_fun(_u18153, tc_HOL_Obool), tc_HOL_Obool, _u18152), c_HOL_OAll(_u18153)), hAPP(hAPP(c_COMBB(tc_fun(_u18153, tc_HOL_Obool), tc_fun(_u18153, tc_HOL_Obool), _u18152), hAPP(c_COMBS(_u18153, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u18153), c_fimplies), hAPP(hAPP(c_COMBC(_u18153, tc_fun(_u18153, tc_HOL_Obool), tc_HOL_Obool), c_member(_u18153)), _u18154)))), _u18155))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18153, tc_fun(_u18152, tc_HOL_Obool)), _u18154), hAPP(hAPP(c_COMBB(tc_fun(_u18152, tc_HOL_Obool), tc_fun(_u18152, tc_HOL_Obool), _u18153), c_Set_OCollect(_u18152)), hAPP(c_COMBC(_u18152, _u18153, tc_HOL_Obool), _u18155)))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_INFI__bool__eq ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_INFI__bool__eq-1, axiom, ( ( c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18156, tc_HOL_Obool) = c_Set_OBall(_u18156)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_INF__INT__eq2 ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_INF__INT__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18163, tc_fun(_u18165, tc_fun(_u18167, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u18163, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u18165, _u18167), tc_HOL_Obool), tc_fun(_u18165, tc_fun(_u18167, tc_HOL_Obool)), _u18163), hAPP(c_COMBC(_u18165, tc_fun(tc_prod(_u18165, _u18167), tc_HOL_Obool), tc_fun(_u18167, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18167, tc_fun(tc_fun(tc_prod(_u18165, _u18167), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u18165, _u18167), tc_HOL_Obool), tc_fun(_u18167, tc_HOL_Obool)), _u18165), c_COMBC(_u18167, tc_fun(tc_prod(_u18165, _u18167), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18167, tc_prod(_u18165, _u18167)), tc_fun(_u18167, tc_fun(tc_fun(tc_prod(_u18165, _u18167), tc_HOL_Obool), tc_HOL_Obool)), _u18165), hAPP(c_COMBB(tc_prod(_u18165, _u18167), tc_fun(tc_fun(tc_prod(_u18165, _u18167), tc_HOL_Obool), tc_HOL_Obool), _u18167), c_member(tc_prod(_u18165, _u18167)))), c_Product__Type_OPair(_u18165, _u18167))))), _u18169)), _u18171), _u18173)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18165, _u18167)), hAPP(hAPP(c_Product__Type_OPair(_u18165, _u18167), _u18171), _u18173)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18163, tc_fun(tc_prod(_u18165, _u18167), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u18163, tc_HOL_Obool))), _u18169))) )).
% 39.89/40.10 cnf(fact_INF__INT__eq2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18166, _u18168)), hAPP(hAPP(c_Product__Type_OPair(_u18166, _u18168), _u18172), _u18174)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18164, tc_fun(tc_prod(_u18166, _u18168), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u18164, tc_HOL_Obool))), _u18170))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18164, tc_fun(_u18166, tc_fun(_u18168, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u18164, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u18166, _u18168), tc_HOL_Obool), tc_fun(_u18166, tc_fun(_u18168, tc_HOL_Obool)), _u18164), hAPP(c_COMBC(_u18166, tc_fun(tc_prod(_u18166, _u18168), tc_HOL_Obool), tc_fun(_u18168, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18168, tc_fun(tc_fun(tc_prod(_u18166, _u18168), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u18166, _u18168), tc_HOL_Obool), tc_fun(_u18168, tc_HOL_Obool)), _u18166), c_COMBC(_u18168, tc_fun(tc_prod(_u18166, _u18168), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18168, tc_prod(_u18166, _u18168)), tc_fun(_u18168, tc_fun(tc_fun(tc_prod(_u18166, _u18168), tc_HOL_Obool), tc_HOL_Obool)), _u18166), hAPP(c_COMBB(tc_prod(_u18166, _u18168), tc_fun(tc_fun(tc_prod(_u18166, _u18168), tc_HOL_Obool), tc_HOL_Obool), _u18168), c_member(tc_prod(_u18166, _u18168)))), c_Product__Type_OPair(_u18166, _u18168))))), _u18170)), _u18172), _u18174)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_le__INF__iff ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_le__INF__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u18177) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18177), _u18178), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18179, _u18177), _u18180), _u18181))) | ~hBOOL(hAPP(hAPP(c_member(_u18179), _u18175), _u18180)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18177), _u18178), hAPP(_u18181, _u18175))) )).
% 39.89/40.10 cnf(fact_le__INF__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u18177) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18177), _u18178), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18179, _u18177), _u18180), _u18181))) | hBOOL(hAPP(hAPP(c_member(_u18179), skolem422(_u18181, _u18180, _u18179, _u18178, _u18177)), _u18180)) )).
% 39.89/40.10 cnf(fact_le__INF__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u18177) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18177), _u18178), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18179, _u18177), _u18180), _u18181))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18177), _u18178), hAPP(_u18181, skolem422(_u18181, _u18180, _u18179, _u18178, _u18177)))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_INT__subset__iff ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_INT__subset__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18189, tc_HOL_Obool)), _u18191), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18193, tc_fun(_u18189, tc_HOL_Obool)), _u18195), _u18197))) | ~hBOOL(hAPP(hAPP(c_member(_u18193), _u18182), _u18195)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18189, tc_HOL_Obool)), _u18191), hAPP(_u18197, _u18182))) )).
% 39.89/40.10 cnf(fact_INT__subset__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18190, tc_HOL_Obool)), _u18192), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18194, tc_fun(_u18190, tc_HOL_Obool)), _u18196), _u18198))) | hBOOL(hAPP(hAPP(c_member(_u18194), skolem423(_u18198, _u18196, _u18194, _u18192, _u18190)), _u18196)) )).
% 39.89/40.10 cnf(fact_INT__subset__iff-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18190, tc_HOL_Obool)), _u18192), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18194, tc_fun(_u18190, tc_HOL_Obool)), _u18196), _u18198))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18190, tc_HOL_Obool)), _u18192), hAPP(_u18198, skolem423(_u18198, _u18196, _u18194, _u18192, _u18190)))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_INT__lower ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_INT__lower-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18199), _u18200), _u18201)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18202, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18199, tc_fun(_u18202, tc_HOL_Obool)), _u18201), _u18203)), hAPP(_u18203, _u18200))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_Image__INT__subset ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_Image__INT__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18204, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u18205, _u18204, _u18206), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18207, tc_fun(_u18205, tc_HOL_Obool)), _u18208), _u18209))), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18207, tc_fun(_u18204, tc_HOL_Obool)), _u18208), hAPP(hAPP(c_COMBB(tc_fun(_u18205, tc_HOL_Obool), tc_fun(_u18204, tc_HOL_Obool), _u18207), c_Relation_OImage(_u18205, _u18204, _u18206)), _u18209)))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_INF__commute ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_INF__commute-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u18210) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18211, _u18210), _u18212), hAPP(hAPP(c_COMBB(tc_fun(_u18213, _u18210), _u18210, _u18211), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18213, _u18210), _u18214)), _u18215)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18213, _u18210), _u18214), hAPP(hAPP(c_COMBB(tc_fun(_u18211, _u18210), _u18210, _u18213), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18211, _u18210), _u18212)), hAPP(c_COMBC(_u18211, _u18213, _u18210), _u18215)))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_INFI__apply ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_INFI__apply-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u18216) | ( hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18217, tc_fun(_u18218, _u18216)), _u18219), _u18220), _u18221) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18217, _u18216), _u18219), hAPP(hAPP(c_COMBC(_u18217, _u18218, _u18216), _u18220), _u18221))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_Pow__INT__eq ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_Pow__INT__eq-1, axiom, ( ( hAPP(c_Set_OPow(_u18222), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18223, tc_fun(_u18222, tc_HOL_Obool)), _u18224), _u18225)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18223, tc_fun(tc_fun(_u18222, tc_HOL_Obool), tc_HOL_Obool)), _u18224), hAPP(hAPP(c_COMBB(tc_fun(_u18222, tc_HOL_Obool), tc_fun(tc_fun(_u18222, tc_HOL_Obool), tc_HOL_Obool), _u18223), c_Set_OPow(_u18222)), _u18225))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_INT__simps_I7_J ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_INT__simps_I7_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18226, tc_fun(_u18227, tc_HOL_Obool)), _u18228), hAPP(hAPP(c_COMBB(tc_fun(_u18227, tc_HOL_Obool), tc_fun(_u18227, tc_HOL_Obool), _u18226), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u18227, tc_HOL_Obool)), _u18229)), _u18230)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u18227, tc_HOL_Obool)), _u18229), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18226, tc_fun(_u18227, tc_HOL_Obool)), _u18228), _u18230))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_INT__simps_I6_J ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_INT__simps_I6_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18231, tc_fun(_u18232, tc_HOL_Obool)), _u18233), hAPP(hAPP(c_COMBC(_u18231, tc_fun(_u18232, tc_HOL_Obool), tc_fun(_u18232, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18232, tc_HOL_Obool), tc_fun(tc_fun(_u18232, tc_HOL_Obool), tc_fun(_u18232, tc_HOL_Obool)), _u18231), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u18232, tc_HOL_Obool))), _u18234)), _u18235)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u18232, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18231, tc_fun(_u18232, tc_HOL_Obool)), _u18233), _u18234)), _u18235)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_INT__extend__simps_I7_J ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_INT__extend__simps_I7_J-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u18236, tc_HOL_Obool)), _u18237), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18238, tc_fun(_u18236, tc_HOL_Obool)), _u18239), _u18240)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18238, tc_fun(_u18236, tc_HOL_Obool)), _u18239), hAPP(hAPP(c_COMBB(tc_fun(_u18236, tc_HOL_Obool), tc_fun(_u18236, tc_HOL_Obool), _u18238), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u18236, tc_HOL_Obool)), _u18237)), _u18240))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_Un__INT__distrib ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_Un__INT__distrib-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u18241, tc_HOL_Obool)), _u18242), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18243, tc_fun(_u18241, tc_HOL_Obool)), _u18244), _u18245)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18243, tc_fun(_u18241, tc_HOL_Obool)), _u18244), hAPP(hAPP(c_COMBB(tc_fun(_u18241, tc_HOL_Obool), tc_fun(_u18241, tc_HOL_Obool), _u18243), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u18241, tc_HOL_Obool)), _u18242)), _u18245))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_INT__extend__simps_I6_J ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_INT__extend__simps_I6_J-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u18246, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18247, tc_fun(_u18246, tc_HOL_Obool)), _u18248), _u18249)), _u18250) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18247, tc_fun(_u18246, tc_HOL_Obool)), _u18248), hAPP(hAPP(c_COMBC(_u18247, tc_fun(_u18246, tc_HOL_Obool), tc_fun(_u18246, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18246, tc_HOL_Obool), tc_fun(tc_fun(_u18246, tc_HOL_Obool), tc_fun(_u18246, tc_HOL_Obool)), _u18247), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u18246, tc_HOL_Obool))), _u18249)), _u18250))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_Un__INT__distrib2 ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_Un__INT__distrib2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u18251, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18252, tc_fun(_u18251, tc_HOL_Obool)), _u18253), _u18254)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18255, tc_fun(_u18251, tc_HOL_Obool)), _u18256), _u18257)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18252, tc_fun(_u18251, tc_HOL_Obool)), _u18253), hAPP(hAPP(c_COMBB(tc_fun(_u18255, tc_fun(_u18251, tc_HOL_Obool)), tc_fun(_u18251, tc_HOL_Obool), _u18252), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18255, tc_fun(_u18251, tc_HOL_Obool)), _u18256)), hAPP(hAPP(c_COMBC(_u18252, tc_fun(_u18255, tc_fun(_u18251, tc_HOL_Obool)), tc_fun(_u18255, tc_fun(_u18251, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u18251, tc_HOL_Obool), tc_fun(_u18251, tc_HOL_Obool)), tc_fun(tc_fun(_u18255, tc_fun(_u18251, tc_HOL_Obool)), tc_fun(_u18255, tc_fun(_u18251, tc_HOL_Obool))), _u18252), c_COMBB(tc_fun(_u18251, tc_HOL_Obool), tc_fun(_u18251, tc_HOL_Obool), _u18255)), hAPP(hAPP(c_COMBB(tc_fun(_u18251, tc_HOL_Obool), tc_fun(tc_fun(_u18251, tc_HOL_Obool), tc_fun(_u18251, tc_HOL_Obool)), _u18252), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u18251, tc_HOL_Obool))), _u18254))), _u18257)))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_INF__less__iff ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_INF__less__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u18260) | ~class_Orderings_Olinorder(_u18260) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u18260), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18261, _u18260), _u18262), _u18263)), _u18264)) | hBOOL(hAPP(hAPP(c_member(_u18261), skolem424(_u18264, _u18263, _u18262, _u18261, _u18260)), _u18262)) )).
% 39.89/40.10 cnf(fact_INF__less__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u18260) | ~class_Orderings_Olinorder(_u18260) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u18260), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18261, _u18260), _u18262), _u18263)), _u18264)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u18260), hAPP(_u18263, skolem424(_u18264, _u18263, _u18262, _u18261, _u18260))), _u18264)) )).
% 39.89/40.10 cnf(fact_INF__less__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u18260) | ~class_Orderings_Olinorder(_u18260) | ~hBOOL(hAPP(hAPP(c_member(_u18261), _u18259), _u18262)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u18260), hAPP(_u18263, _u18259)), _u18264)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u18260), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18261, _u18260), _u18262), _u18263)), _u18264)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_vimage__INT ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_vimage__INT-1, axiom, ( ( hAPP(c_Set_Ovimage(_u18265, _u18266, _u18267), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18268, tc_fun(_u18266, tc_HOL_Obool)), _u18269), _u18270)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18268, tc_fun(_u18265, tc_HOL_Obool)), _u18269), hAPP(hAPP(c_COMBB(tc_fun(_u18266, tc_HOL_Obool), tc_fun(_u18265, tc_HOL_Obool), _u18268), c_Set_Ovimage(_u18265, _u18266, _u18267)), _u18270))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_INTER__UNIV__conv_I2_J ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_INTER__UNIV__conv_I2_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18277, tc_fun(_u18279, tc_HOL_Obool)), _u18281), _u18283) != c_Orderings_Otop__class_Otop(tc_fun(_u18279, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u18277), _u18271), _u18281)) | ( hAPP(_u18283, _u18271) = c_Orderings_Otop__class_Otop(tc_fun(_u18279, tc_HOL_Obool))) )).
% 39.89/40.10 cnf(fact_INTER__UNIV__conv_I2_J-2, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18278, tc_fun(_u18280, tc_HOL_Obool)), _u18282), _u18284) = c_Orderings_Otop__class_Otop(tc_fun(_u18280, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u18278), skolem425(_u18284, _u18282, _u18280, _u18278)), _u18282)) )).
% 39.89/40.10 cnf(fact_INTER__UNIV__conv_I2_J-3, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18278, tc_fun(_u18280, tc_HOL_Obool)), _u18282), _u18284) = c_Orderings_Otop__class_Otop(tc_fun(_u18280, tc_HOL_Obool))) | ( hAPP(_u18284, skolem425(_u18284, _u18282, _u18280, _u18278)) != c_Orderings_Otop__class_Otop(tc_fun(_u18280, tc_HOL_Obool))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_INTER__UNIV__conv_I1_J ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_INTER__UNIV__conv_I1_J-1, axiom, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u18291, tc_HOL_Obool)) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18293, tc_fun(_u18291, tc_HOL_Obool)), _u18295), _u18297)) | ~hBOOL(hAPP(hAPP(c_member(_u18293), _u18285), _u18295)) | ( hAPP(_u18297, _u18285) = c_Orderings_Otop__class_Otop(tc_fun(_u18291, tc_HOL_Obool))) )).
% 39.89/40.10 cnf(fact_INTER__UNIV__conv_I1_J-2, axiom, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u18292, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18294, tc_fun(_u18292, tc_HOL_Obool)), _u18296), _u18298)) | hBOOL(hAPP(hAPP(c_member(_u18294), skolem426(_u18298, _u18296, _u18294, _u18292)), _u18296)) )).
% 39.89/40.10 cnf(fact_INTER__UNIV__conv_I1_J-3, axiom, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u18292, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18294, tc_fun(_u18292, tc_HOL_Obool)), _u18296), _u18298)) | ( hAPP(_u18298, skolem426(_u18298, _u18296, _u18294, _u18292)) != c_Orderings_Otop__class_Otop(tc_fun(_u18292, tc_HOL_Obool))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_INT__Int__distrib ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_INT__Int__distrib-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18299, tc_fun(_u18300, tc_HOL_Obool)), _u18301), hAPP(hAPP(c_COMBS(_u18299, tc_fun(_u18300, tc_HOL_Obool), tc_fun(_u18300, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18300, tc_HOL_Obool), tc_fun(tc_fun(_u18300, tc_HOL_Obool), tc_fun(_u18300, tc_HOL_Obool)), _u18299), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18300, tc_HOL_Obool))), _u18302)), _u18303)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18300, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18299, tc_fun(_u18300, tc_HOL_Obool)), _u18301), _u18302)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18299, tc_fun(_u18300, tc_HOL_Obool)), _u18301), _u18303))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_INT__Un ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_INT__Un-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18304, tc_fun(_u18305, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u18304, tc_HOL_Obool)), _u18306), _u18307)), _u18308) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18305, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18304, tc_fun(_u18305, tc_HOL_Obool)), _u18306), _u18308)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18304, tc_fun(_u18305, tc_HOL_Obool)), _u18307), _u18308))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_INT__iff ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_INT__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18316), _u18318), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18320, tc_fun(_u18316, tc_HOL_Obool)), _u18322), _u18324))) | ~hBOOL(hAPP(hAPP(c_member(_u18320), _u18309), _u18322)) | hBOOL(hAPP(hAPP(c_member(_u18316), _u18318), hAPP(_u18324, _u18309))) )).
% 39.89/40.10 cnf(fact_INT__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u18317), _u18319), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18321, tc_fun(_u18317, tc_HOL_Obool)), _u18323), _u18325))) | hBOOL(hAPP(hAPP(c_member(_u18321), skolem427(_u18325, _u18323, _u18321, _u18319, _u18317)), _u18323)) )).
% 39.89/40.10 cnf(fact_INT__iff-3, axiom, ( hBOOL(hAPP(hAPP(c_member(_u18317), _u18319), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18321, tc_fun(_u18317, tc_HOL_Obool)), _u18323), _u18325))) | ~hBOOL(hAPP(hAPP(c_member(_u18317), _u18319), hAPP(_u18325, skolem427(_u18325, _u18323, _u18321, _u18319, _u18317)))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_INT__absorb ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_INT__absorb-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18326), _u18327), _u18328)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18329, tc_HOL_Obool)), hAPP(_u18330, _u18327)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18326, tc_fun(_u18329, tc_HOL_Obool)), _u18328), _u18330)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18326, tc_fun(_u18329, tc_HOL_Obool)), _u18328), _u18330)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_INF__INT__eq ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_INF__INT__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18335, tc_fun(_u18337, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u18335, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u18337, tc_HOL_Obool), tc_fun(_u18337, tc_HOL_Obool), _u18335), hAPP(c_COMBC(_u18337, tc_fun(_u18337, tc_HOL_Obool), tc_HOL_Obool), c_member(_u18337))), _u18339)), _u18341)) | hBOOL(hAPP(hAPP(c_member(_u18337), _u18341), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18335, tc_fun(_u18337, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u18335, tc_HOL_Obool))), _u18339))) )).
% 39.89/40.10 cnf(fact_INF__INT__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18338), _u18342), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18336, tc_fun(_u18338, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u18336, tc_HOL_Obool))), _u18340))) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18336, tc_fun(_u18338, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u18336, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u18338, tc_HOL_Obool), tc_fun(_u18338, tc_HOL_Obool), _u18336), hAPP(c_COMBC(_u18338, tc_fun(_u18338, tc_HOL_Obool), tc_HOL_Obool), c_member(_u18338))), _u18340)), _u18342)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_INT__insert__distrib ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_INT__insert__distrib-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18343), _u18344), _u18345)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18343, tc_fun(_u18346, tc_HOL_Obool)), _u18345), hAPP(hAPP(c_COMBB(tc_fun(_u18346, tc_HOL_Obool), tc_fun(_u18346, tc_HOL_Obool), _u18343), hAPP(c_Set_Oinsert(_u18346), _u18347)), _u18348)) = hAPP(hAPP(c_Set_Oinsert(_u18346), _u18347), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18343, tc_fun(_u18346, tc_HOL_Obool)), _u18345), _u18348))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_INT__insert ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_INT__insert-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18349, tc_fun(_u18350, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u18349), _u18351), _u18352)), _u18353) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18350, tc_HOL_Obool)), hAPP(_u18353, _u18351)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18349, tc_fun(_u18350, tc_HOL_Obool)), _u18352), _u18353))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_INT__extend__simps_I1_J ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_INT__extend__simps_I1_J-1, axiom, ( ( _u18359 != c_Orderings_Obot__class_Obot(tc_fun(_u18361, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18363, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18361, tc_fun(_u18363, tc_HOL_Obool)), _u18359), _u18365)), _u18367) = _u18367) )).
% 39.89/40.10 cnf(fact_INT__extend__simps_I1_J-2, axiom, ( ( _u18360 = c_Orderings_Obot__class_Obot(tc_fun(_u18362, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18364, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18362, tc_fun(_u18364, tc_HOL_Obool)), _u18360), _u18366)), _u18368) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18362, tc_fun(_u18364, tc_HOL_Obool)), _u18360), hAPP(hAPP(c_COMBC(_u18362, tc_fun(_u18364, tc_HOL_Obool), tc_fun(_u18364, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18364, tc_HOL_Obool), tc_fun(tc_fun(_u18364, tc_HOL_Obool), tc_fun(_u18364, tc_HOL_Obool)), _u18362), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18364, tc_HOL_Obool))), _u18366)), _u18368))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_INT__extend__simps_I2_J ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_INT__extend__simps_I2_J-1, axiom, ( ( _u18374 != c_Orderings_Obot__class_Obot(tc_fun(_u18376, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18378, tc_HOL_Obool)), _u18380), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18376, tc_fun(_u18378, tc_HOL_Obool)), _u18374), _u18382)) = _u18380) )).
% 39.89/40.10 cnf(fact_INT__extend__simps_I2_J-2, axiom, ( ( _u18375 = c_Orderings_Obot__class_Obot(tc_fun(_u18377, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18379, tc_HOL_Obool)), _u18381), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18377, tc_fun(_u18379, tc_HOL_Obool)), _u18375), _u18383)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18377, tc_fun(_u18379, tc_HOL_Obool)), _u18375), hAPP(hAPP(c_COMBB(tc_fun(_u18379, tc_HOL_Obool), tc_fun(_u18379, tc_HOL_Obool), _u18377), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18379, tc_HOL_Obool)), _u18381)), _u18383))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_INT__constant ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_INT__constant-1, axiom, ( ( _u18388 != c_Orderings_Obot__class_Obot(tc_fun(_u18390, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18390, tc_fun(_u18392, tc_HOL_Obool)), _u18388), hAPP(c_COMBK(tc_fun(_u18392, tc_HOL_Obool), _u18390), _u18394)) = c_Orderings_Otop__class_Otop(tc_fun(_u18392, tc_HOL_Obool))) )).
% 39.89/40.10 cnf(fact_INT__constant-2, axiom, ( ( _u18389 = c_Orderings_Obot__class_Obot(tc_fun(_u18391, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18391, tc_fun(_u18393, tc_HOL_Obool)), _u18389), hAPP(c_COMBK(tc_fun(_u18393, tc_HOL_Obool), _u18391), _u18395)) = _u18395) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_INT__empty ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_INT__empty-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18396, tc_fun(_u18397, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u18396, tc_HOL_Obool))), _u18398) = c_Orderings_Otop__class_Otop(tc_fun(_u18397, tc_HOL_Obool))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_INF__const ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_INF__const-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u18399) | ( _u18400 = c_Orderings_Obot__class_Obot(tc_fun(_u18401, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18401, _u18399), _u18400), hAPP(c_COMBK(_u18399, _u18401), _u18402)) = _u18402) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_INT__simps_I5_J ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_INT__simps_I5_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18403, tc_fun(_u18404, tc_HOL_Obool)), _u18405), hAPP(hAPP(c_COMBB(tc_fun(_u18404, tc_HOL_Obool), tc_fun(_u18404, tc_HOL_Obool), _u18403), hAPP(c_Set_Oinsert(_u18404), _u18406)), _u18407)) = hAPP(hAPP(c_Set_Oinsert(_u18404), _u18406), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18403, tc_fun(_u18404, tc_HOL_Obool)), _u18405), _u18407))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_INT__extend__simps_I5_J ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_INT__extend__simps_I5_J-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u18408), _u18409), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18410, tc_fun(_u18408, tc_HOL_Obool)), _u18411), _u18412)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18410, tc_fun(_u18408, tc_HOL_Obool)), _u18411), hAPP(hAPP(c_COMBB(tc_fun(_u18408, tc_HOL_Obool), tc_fun(_u18408, tc_HOL_Obool), _u18410), hAPP(c_Set_Oinsert(_u18408), _u18409)), _u18412))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_INT__extend__simps_I8_J ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_INT__extend__simps_I8_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u18413, tc_HOL_Obool), tc_fun(_u18414, tc_HOL_Obool)), _u18415), hAPP(hAPP(c_COMBC(tc_fun(_u18413, tc_HOL_Obool), tc_fun(_u18413, tc_fun(_u18414, tc_HOL_Obool)), tc_fun(_u18414, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18413, tc_fun(_u18414, tc_HOL_Obool))), _u18416)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18413, tc_fun(_u18414, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u18413, tc_HOL_Obool), _u18415)), _u18416)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_INT__simps_I8_J ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_INT__simps_I8_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18417, tc_fun(_u18418, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u18417, tc_HOL_Obool), _u18419)), _u18420) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u18417, tc_HOL_Obool), tc_fun(_u18418, tc_HOL_Obool)), _u18419), hAPP(hAPP(c_COMBC(tc_fun(_u18417, tc_HOL_Obool), tc_fun(_u18417, tc_fun(_u18418, tc_HOL_Obool)), tc_fun(_u18418, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18417, tc_fun(_u18418, tc_HOL_Obool))), _u18420))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_INT__extend__simps_I10_J ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_INT__extend__simps_I10_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18421, tc_fun(_u18422, tc_HOL_Obool)), _u18423), hAPP(hAPP(c_COMBB(_u18424, tc_fun(_u18422, tc_HOL_Obool), _u18421), _u18425), _u18426)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18424, tc_fun(_u18422, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u18421, _u18424, _u18426), _u18423)), _u18425)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_INT__simps_I10_J ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_INT__simps_I10_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18427, tc_fun(_u18428, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u18429, _u18427, _u18430), _u18431)), _u18432) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18429, tc_fun(_u18428, tc_HOL_Obool)), _u18431), hAPP(hAPP(c_COMBB(_u18427, tc_fun(_u18428, tc_HOL_Obool), _u18429), _u18432), _u18430))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_INTER__def ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_INTER__def-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18433, tc_fun(_u18434, tc_HOL_Obool)), _u18435), _u18436) = hAPP(c_Set_OCollect(_u18434), hAPP(hAPP(c_COMBB(tc_fun(_u18433, tc_HOL_Obool), tc_HOL_Obool, _u18434), c_HOL_OAll(_u18433)), hAPP(hAPP(c_COMBB(tc_fun(_u18433, tc_HOL_Obool), tc_fun(_u18433, tc_HOL_Obool), _u18434), hAPP(c_COMBS(_u18433, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u18433), c_fimplies), hAPP(hAPP(c_COMBC(_u18433, tc_fun(_u18433, tc_HOL_Obool), tc_HOL_Obool), c_member(_u18433)), _u18435)))), hAPP(hAPP(c_COMBC(_u18434, tc_fun(_u18433, tc_fun(_u18434, tc_HOL_Obool)), tc_fun(_u18433, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u18434, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u18433, tc_fun(_u18434, tc_HOL_Obool)), tc_fun(_u18433, tc_HOL_Obool)), _u18434), c_COMBB(tc_fun(_u18434, tc_HOL_Obool), tc_HOL_Obool, _u18433)), c_member(_u18434))), _u18436))))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_INT__simps_I2_J ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_INT__simps_I2_J-1, axiom, ( ( _u18442 != c_Orderings_Obot__class_Obot(tc_fun(_u18444, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18444, tc_fun(_u18446, tc_HOL_Obool)), _u18442), hAPP(hAPP(c_COMBB(tc_fun(_u18446, tc_HOL_Obool), tc_fun(_u18446, tc_HOL_Obool), _u18444), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18446, tc_HOL_Obool)), _u18448)), _u18450)) = c_Orderings_Otop__class_Otop(tc_fun(_u18446, tc_HOL_Obool))) )).
% 39.89/40.10 cnf(fact_INT__simps_I2_J-2, axiom, ( ( _u18443 = c_Orderings_Obot__class_Obot(tc_fun(_u18445, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18445, tc_fun(_u18447, tc_HOL_Obool)), _u18443), hAPP(hAPP(c_COMBB(tc_fun(_u18447, tc_HOL_Obool), tc_fun(_u18447, tc_HOL_Obool), _u18445), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18447, tc_HOL_Obool)), _u18449)), _u18451)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18447, tc_HOL_Obool)), _u18449), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18445, tc_fun(_u18447, tc_HOL_Obool)), _u18443), _u18451))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_INT__simps_I1_J ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_INT__simps_I1_J-1, axiom, ( ( _u18457 != c_Orderings_Obot__class_Obot(tc_fun(_u18459, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18459, tc_fun(_u18461, tc_HOL_Obool)), _u18457), hAPP(hAPP(c_COMBC(_u18459, tc_fun(_u18461, tc_HOL_Obool), tc_fun(_u18461, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18461, tc_HOL_Obool), tc_fun(tc_fun(_u18461, tc_HOL_Obool), tc_fun(_u18461, tc_HOL_Obool)), _u18459), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18461, tc_HOL_Obool))), _u18463)), _u18465)) = c_Orderings_Otop__class_Otop(tc_fun(_u18461, tc_HOL_Obool))) )).
% 39.89/40.10 cnf(fact_INT__simps_I1_J-2, axiom, ( ( _u18458 = c_Orderings_Obot__class_Obot(tc_fun(_u18460, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18460, tc_fun(_u18462, tc_HOL_Obool)), _u18458), hAPP(hAPP(c_COMBC(_u18460, tc_fun(_u18462, tc_HOL_Obool), tc_fun(_u18462, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18462, tc_HOL_Obool), tc_fun(tc_fun(_u18462, tc_HOL_Obool), tc_fun(_u18462, tc_HOL_Obool)), _u18460), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18462, tc_HOL_Obool))), _u18464)), _u18466)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18462, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18460, tc_fun(_u18462, tc_HOL_Obool)), _u18458), _u18464)), _u18466)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_INT__simps_I3_J ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_INT__simps_I3_J-1, axiom, ( ( _u18472 != c_Orderings_Obot__class_Obot(tc_fun(_u18474, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18474, tc_fun(_u18476, tc_HOL_Obool)), _u18472), hAPP(hAPP(c_COMBC(_u18474, tc_fun(_u18476, tc_HOL_Obool), tc_fun(_u18476, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18476, tc_HOL_Obool), tc_fun(tc_fun(_u18476, tc_HOL_Obool), tc_fun(_u18476, tc_HOL_Obool)), _u18474), c_Groups_Ominus__class_Ominus(tc_fun(_u18476, tc_HOL_Obool))), _u18478)), _u18480)) = c_Orderings_Otop__class_Otop(tc_fun(_u18476, tc_HOL_Obool))) )).
% 39.89/40.10 cnf(fact_INT__simps_I3_J-2, axiom, ( ( _u18473 = c_Orderings_Obot__class_Obot(tc_fun(_u18475, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18475, tc_fun(_u18477, tc_HOL_Obool)), _u18473), hAPP(hAPP(c_COMBC(_u18475, tc_fun(_u18477, tc_HOL_Obool), tc_fun(_u18477, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18477, tc_HOL_Obool), tc_fun(tc_fun(_u18477, tc_HOL_Obool), tc_fun(_u18477, tc_HOL_Obool)), _u18475), c_Groups_Ominus__class_Ominus(tc_fun(_u18477, tc_HOL_Obool))), _u18479)), _u18481)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u18477, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18475, tc_fun(_u18477, tc_HOL_Obool)), _u18473), _u18479)), _u18481)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_INT__extend__simps_I3_J ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_INT__extend__simps_I3_J-1, axiom, ( ( _u18487 != c_Orderings_Obot__class_Obot(tc_fun(_u18489, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u18491, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18489, tc_fun(_u18491, tc_HOL_Obool)), _u18487), _u18493)), _u18495) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u18491, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u18491, tc_HOL_Obool))), _u18495)) )).
% 39.89/40.10 cnf(fact_INT__extend__simps_I3_J-2, axiom, ( ( _u18488 = c_Orderings_Obot__class_Obot(tc_fun(_u18490, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u18492, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18490, tc_fun(_u18492, tc_HOL_Obool)), _u18488), _u18494)), _u18496) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18490, tc_fun(_u18492, tc_HOL_Obool)), _u18488), hAPP(hAPP(c_COMBC(_u18490, tc_fun(_u18492, tc_HOL_Obool), tc_fun(_u18492, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18492, tc_HOL_Obool), tc_fun(tc_fun(_u18492, tc_HOL_Obool), tc_fun(_u18492, tc_HOL_Obool)), _u18490), c_Groups_Ominus__class_Ominus(tc_fun(_u18492, tc_HOL_Obool))), _u18494)), _u18496))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_INT__extend__simps_I4_J ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_INT__extend__simps_I4_J-1, axiom, ( ( _u18502 != c_Orderings_Obot__class_Obot(tc_fun(_u18504, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u18506, tc_HOL_Obool)), _u18508), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u18504, tc_fun(_u18506, tc_HOL_Obool)), _u18502), _u18510)) = _u18508) )).
% 39.89/40.10 cnf(fact_INT__extend__simps_I4_J-2, axiom, ( ( _u18503 = c_Orderings_Obot__class_Obot(tc_fun(_u18505, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u18507, tc_HOL_Obool)), _u18509), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u18505, tc_fun(_u18507, tc_HOL_Obool)), _u18503), _u18511)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18505, tc_fun(_u18507, tc_HOL_Obool)), _u18503), hAPP(hAPP(c_COMBB(tc_fun(_u18507, tc_HOL_Obool), tc_fun(_u18507, tc_HOL_Obool), _u18505), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u18507, tc_HOL_Obool)), _u18509)), _u18511))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_INF__leI ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_INF__leI-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u18512) | ~hBOOL(hAPP(hAPP(c_member(_u18513), _u18514), _u18515)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18512), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18513, _u18512), _u18515), _u18516)), hAPP(_u18516, _u18514))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_INT__greaterThan__UNIV ( axiom ) converted to clauses:
% 39.89/40.10 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))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_INT__simps_I4_J ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_INT__simps_I4_J-1, axiom, ( ( _u18522 != c_Orderings_Obot__class_Obot(tc_fun(_u18524, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18524, tc_fun(_u18526, tc_HOL_Obool)), _u18522), hAPP(hAPP(c_COMBB(tc_fun(_u18526, tc_HOL_Obool), tc_fun(_u18526, tc_HOL_Obool), _u18524), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u18526, tc_HOL_Obool)), _u18528)), _u18530)) = c_Orderings_Otop__class_Otop(tc_fun(_u18526, tc_HOL_Obool))) )).
% 39.89/40.10 cnf(fact_INT__simps_I4_J-2, axiom, ( ( _u18523 = c_Orderings_Obot__class_Obot(tc_fun(_u18525, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18525, tc_fun(_u18527, tc_HOL_Obool)), _u18523), hAPP(hAPP(c_COMBB(tc_fun(_u18527, tc_HOL_Obool), tc_fun(_u18527, tc_HOL_Obool), _u18525), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u18527, tc_HOL_Obool)), _u18529)), _u18531)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u18527, tc_HOL_Obool)), _u18529), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u18525, tc_fun(_u18527, tc_HOL_Obool)), _u18523), _u18531))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_lists__Int__eq ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_lists__Int__eq-1, axiom, ( ( c_List_Olistsp(_u18532, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18532, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u18532, tc_fun(_u18532, tc_HOL_Obool), tc_HOL_Obool), c_member(_u18532)), _u18533)), hAPP(hAPP(c_COMBC(_u18532, tc_fun(_u18532, tc_HOL_Obool), tc_HOL_Obool), c_member(_u18532)), _u18534))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(_u18532), tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18532), tc_fun(tc_List_Olist(_u18532), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_List_Olist(_u18532))), c_List_Olists(_u18532, _u18533))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18532), tc_fun(tc_List_Olist(_u18532), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_List_Olist(_u18532))), c_List_Olists(_u18532, _u18534)))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_lists__IntI ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_lists__IntI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18535)), _u18536), c_List_Olists(_u18535, _u18537))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18535)), _u18536), c_List_Olists(_u18535, _u18538))) | hBOOL(hAPP(c_List_Olistsp(_u18535, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18535, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u18535, tc_fun(_u18535, tc_HOL_Obool), tc_HOL_Obool), c_member(_u18535)), _u18537)), hAPP(hAPP(c_COMBC(_u18535, tc_fun(_u18535, tc_HOL_Obool), tc_HOL_Obool), c_member(_u18535)), _u18538))), _u18536)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_listsp_ONil ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_listsp_ONil-1, axiom, ( hBOOL(hAPP(c_List_Olistsp(_u18539, _u18540), c_List_Olist_ONil(_u18539))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_INF2__iff ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_INF2__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18550, tc_fun(_u18552, tc_fun(_u18554, tc_HOL_Obool))), _u18556), _u18558), _u18560), _u18562)) | ~hBOOL(hAPP(hAPP(c_member(_u18550), _u18541), _u18556)) | hBOOL(hAPP(hAPP(hAPP(_u18558, _u18541), _u18560), _u18562)) )).
% 39.89/40.10 cnf(fact_INF2__iff-2, axiom, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18551, tc_fun(_u18553, tc_fun(_u18555, tc_HOL_Obool))), _u18557), _u18559), _u18561), _u18563)) | hBOOL(hAPP(hAPP(c_member(_u18551), skolem428(_u18563, _u18561, _u18559, _u18557, _u18555, _u18553, _u18551)), _u18557)) )).
% 39.89/40.10 cnf(fact_INF2__iff-3, axiom, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18551, tc_fun(_u18553, tc_fun(_u18555, tc_HOL_Obool))), _u18557), _u18559), _u18561), _u18563)) | ~hBOOL(hAPP(hAPP(hAPP(_u18559, skolem428(_u18563, _u18561, _u18559, _u18557, _u18555, _u18553, _u18551)), _u18561), _u18563)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_INF1__iff ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_INF1__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18571, tc_fun(_u18573, tc_HOL_Obool)), _u18575), _u18577), _u18579)) | ~hBOOL(hAPP(hAPP(c_member(_u18571), _u18564), _u18575)) | hBOOL(hAPP(hAPP(_u18577, _u18564), _u18579)) )).
% 39.89/40.10 cnf(fact_INF1__iff-2, axiom, ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18572, tc_fun(_u18574, tc_HOL_Obool)), _u18576), _u18578), _u18580)) | hBOOL(hAPP(hAPP(c_member(_u18572), skolem429(_u18580, _u18578, _u18576, _u18574, _u18572)), _u18576)) )).
% 39.89/40.10 cnf(fact_INF1__iff-3, axiom, ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18572, tc_fun(_u18574, tc_HOL_Obool)), _u18576), _u18578), _u18580)) | ~hBOOL(hAPP(hAPP(_u18578, skolem429(_u18580, _u18578, _u18576, _u18574, _u18572)), _u18580)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_append__in__listsp__conv ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_append__in__listsp__conv-1, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u18585, _u18587), hAPP(hAPP(c_List_Oappend(_u18585), _u18589), _u18591))) | hBOOL(hAPP(c_List_Olistsp(_u18585, _u18587), _u18589)) )).
% 39.89/40.10 cnf(fact_append__in__listsp__conv-2, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u18585, _u18587), hAPP(hAPP(c_List_Oappend(_u18585), _u18589), _u18591))) | hBOOL(hAPP(c_List_Olistsp(_u18585, _u18587), _u18591)) )).
% 39.89/40.10 cnf(fact_append__in__listsp__conv-3, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u18586, _u18588), _u18590)) | ~hBOOL(hAPP(c_List_Olistsp(_u18586, _u18588), _u18592)) | hBOOL(hAPP(c_List_Olistsp(_u18586, _u18588), hAPP(hAPP(c_List_Oappend(_u18586), _u18590), _u18592))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_listsp_Oequations_I1_J ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_listsp_Oequations_I1_J-1, axiom, ( hBOOL(hAPP(c_List_Olistsp(_u18593, _u18594), c_List_Olist_ONil(_u18593))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_listsp__infI ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_listsp__infI-1, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u18595, _u18596), _u18597)) | ~hBOOL(hAPP(c_List_Olistsp(_u18595, _u18598), _u18597)) | hBOOL(hAPP(c_List_Olistsp(_u18595, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18595, tc_HOL_Obool)), _u18596), _u18598)), _u18597)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_listsp__inf__eq ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_listsp__inf__eq-1, axiom, ( ( c_List_Olistsp(_u18599, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18599, tc_HOL_Obool)), _u18600), _u18601)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(_u18599), tc_HOL_Obool)), c_List_Olistsp(_u18599, _u18600)), c_List_Olistsp(_u18599, _u18601))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_listsp__conj__eq ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_listsp__conj__eq-1, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u18606, hAPP(hAPP(c_COMBS(_u18606, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u18606), c_fconj), _u18608)), _u18610)), _u18612)) | hBOOL(hAPP(c_List_Olistsp(_u18606, _u18608), _u18612)) )).
% 39.89/40.10 cnf(fact_listsp__conj__eq-2, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u18606, hAPP(hAPP(c_COMBS(_u18606, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u18606), c_fconj), _u18608)), _u18610)), _u18612)) | hBOOL(hAPP(c_List_Olistsp(_u18606, _u18610), _u18612)) )).
% 39.89/40.10 cnf(fact_listsp__conj__eq-3, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u18607, _u18609), _u18613)) | ~hBOOL(hAPP(c_List_Olistsp(_u18607, _u18611), _u18613)) | hBOOL(hAPP(c_List_Olistsp(_u18607, hAPP(hAPP(c_COMBS(_u18607, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u18607), c_fconj), _u18609)), _u18611)), _u18613)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_listsp_Oequations_I2_J ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_listsp_Oequations_I2_J-1, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u18618, _u18620), hAPP(hAPP(c_List_Olist_OCons(_u18618), _u18622), _u18624))) | hBOOL(hAPP(_u18620, _u18622)) )).
% 39.89/40.10 cnf(fact_listsp_Oequations_I2_J-2, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u18618, _u18620), hAPP(hAPP(c_List_Olist_OCons(_u18618), _u18622), _u18624))) | hBOOL(hAPP(c_List_Olistsp(_u18618, _u18620), _u18624)) )).
% 39.89/40.10 cnf(fact_listsp_Oequations_I2_J-3, axiom, ( ~hBOOL(hAPP(_u18621, _u18623)) | ~hBOOL(hAPP(c_List_Olistsp(_u18619, _u18621), _u18625)) | hBOOL(hAPP(c_List_Olistsp(_u18619, _u18621), hAPP(hAPP(c_List_Olist_OCons(_u18619), _u18623), _u18625))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_in__listsp__conv__set ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_in__listsp__conv__set-1, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u18631, _u18633), _u18635)) | ~hBOOL(hAPP(hAPP(c_member(_u18631), _u18626), hAPP(c_List_Oset(_u18631), _u18635))) | hBOOL(hAPP(_u18633, _u18626)) )).
% 39.89/40.10 cnf(fact_in__listsp__conv__set-2, axiom, ( hBOOL(hAPP(c_List_Olistsp(_u18632, _u18634), _u18636)) | hBOOL(hAPP(hAPP(c_member(_u18632), skolem430(_u18636, _u18634, _u18632)), hAPP(c_List_Oset(_u18632), _u18636))) )).
% 39.89/40.10 cnf(fact_in__listsp__conv__set-3, axiom, ( hBOOL(hAPP(c_List_Olistsp(_u18632, _u18634), _u18636)) | ~hBOOL(hAPP(_u18634, skolem430(_u18636, _u18634, _u18632))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_listsp__mono ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_listsp__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18637, tc_HOL_Obool)), _u18638), _u18639)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(_u18637), tc_HOL_Obool)), c_List_Olistsp(_u18637, _u18638)), c_List_Olistsp(_u18637, _u18639))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_listsp__lists__eq ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_listsp__lists__eq-1, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u18643, hAPP(hAPP(c_COMBC(_u18643, tc_fun(_u18643, tc_HOL_Obool), tc_HOL_Obool), c_member(_u18643)), _u18645)), _u18647)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18643)), _u18647), c_List_Olists(_u18643, _u18645))) )).
% 39.89/40.10 cnf(fact_listsp__lists__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18644)), _u18648), c_List_Olists(_u18644, _u18646))) | hBOOL(hAPP(c_List_Olistsp(_u18644, hAPP(hAPP(c_COMBC(_u18644, tc_fun(_u18644, tc_HOL_Obool), tc_HOL_Obool), c_member(_u18644)), _u18646)), _u18648)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_image__INT ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_image__INT-1, axiom, ( ~c_Fun_Oinj__on(_u18650, _u18651, _u18652, _u18653) | ~hBOOL(hAPP(hAPP(c_member(_u18654), _u18657), _u18655)) | ( hAPP(c_Set_Oimage(_u18650, _u18651, _u18652), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18654, tc_fun(_u18650, tc_HOL_Obool)), _u18655), _u18656)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18654, tc_fun(_u18651, tc_HOL_Obool)), _u18655), hAPP(hAPP(c_COMBB(tc_fun(_u18650, tc_HOL_Obool), tc_fun(_u18651, tc_HOL_Obool), _u18654), c_Set_Oimage(_u18650, _u18651, _u18652)), _u18656))) | hBOOL(hAPP(hAPP(c_member(_u18654), skolem431(_u18657, _u18656, _u18655, _u18654, _u18653, _u18652, _u18651, _u18650)), _u18655)) )).
% 39.89/40.10 cnf(fact_image__INT-2, axiom, ( ~c_Fun_Oinj__on(_u18650, _u18651, _u18652, _u18653) | ~hBOOL(hAPP(hAPP(c_member(_u18654), _u18657), _u18655)) | ( hAPP(c_Set_Oimage(_u18650, _u18651, _u18652), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18654, tc_fun(_u18650, tc_HOL_Obool)), _u18655), _u18656)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18654, tc_fun(_u18651, tc_HOL_Obool)), _u18655), hAPP(hAPP(c_COMBB(tc_fun(_u18650, tc_HOL_Obool), tc_fun(_u18651, tc_HOL_Obool), _u18654), c_Set_Oimage(_u18650, _u18651, _u18652)), _u18656))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18650, tc_HOL_Obool)), hAPP(_u18656, skolem431(_u18657, _u18656, _u18655, _u18654, _u18653, _u18652, _u18651, _u18650))), _u18653)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_Sup__Inf ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_Sup__Inf-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u18658) | ( c_Complete__Lattice_OSup__class_OSup(_u18658, _u18659) = c_Complete__Lattice_OInf__class_OInf(_u18658, hAPP(c_Set_OCollect(_u18658), hAPP(hAPP(c_COMBB(tc_fun(_u18658, tc_HOL_Obool), tc_HOL_Obool, _u18658), c_HOL_OAll(_u18658)), hAPP(hAPP(c_COMBB(tc_fun(_u18658, tc_HOL_Obool), tc_fun(_u18658, tc_HOL_Obool), _u18658), hAPP(c_COMBS(_u18658, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u18658), c_fimplies), hAPP(hAPP(c_COMBC(_u18658, tc_fun(_u18658, tc_HOL_Obool), tc_HOL_Obool), c_member(_u18658)), _u18659)))), hAPP(c_COMBC(_u18658, _u18658, tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(_u18658))))))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_finite__Inter ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_finite__Inter-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u18661, tc_HOL_Obool)), _u18660), _u18662)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18661), _u18660)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u18661), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u18661, tc_HOL_Obool), _u18662))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_InterE ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_InterE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18663), _u18664), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u18663, tc_HOL_Obool), _u18665))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u18663, tc_HOL_Obool)), _u18666), _u18665)) | hBOOL(hAPP(hAPP(c_member(_u18663), _u18664), _u18666)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_InterD ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_InterD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18667), _u18668), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u18667, tc_HOL_Obool), _u18669))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u18667, tc_HOL_Obool)), _u18670), _u18669)) | hBOOL(hAPP(hAPP(c_member(_u18667), _u18668), _u18670)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_Inter__def ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_Inter__def-1, axiom, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u18671, tc_HOL_Obool), _u18672) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u18671, tc_HOL_Obool), tc_fun(_u18671, tc_HOL_Obool)), _u18672), c_COMBI(tc_fun(_u18671, tc_HOL_Obool)))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_Inter__image__eq ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_Inter__image__eq-1, axiom, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u18673, tc_HOL_Obool), hAPP(c_Set_Oimage(_u18674, tc_fun(_u18673, tc_HOL_Obool), _u18675), _u18676)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18674, tc_fun(_u18673, tc_HOL_Obool)), _u18676), _u18675)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_INTER__eq__Inter__image ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_INTER__eq__Inter__image-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18677, tc_fun(_u18678, tc_HOL_Obool)), _u18679), _u18680) = c_Complete__Lattice_OInf__class_OInf(tc_fun(_u18678, tc_HOL_Obool), hAPP(c_Set_Oimage(_u18677, tc_fun(_u18678, tc_HOL_Obool), _u18680), _u18679))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_Inter__insert ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_Inter__insert-1, axiom, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u18681, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u18681, tc_HOL_Obool)), _u18682), _u18683)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18681, tc_HOL_Obool)), _u18682), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u18681, tc_HOL_Obool), _u18683))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_Inter__Un__distrib ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_Inter__Un__distrib-1, axiom, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u18684, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u18684, tc_HOL_Obool), tc_HOL_Obool)), _u18685), _u18686)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18684, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u18684, tc_HOL_Obool), _u18685)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u18684, tc_HOL_Obool), _u18686))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_Inf__singleton ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_Inf__singleton-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u18687) | ( c_Complete__Lattice_OInf__class_OInf(_u18687, hAPP(hAPP(c_Set_Oinsert(_u18687), _u18688), c_Orderings_Obot__class_Obot(tc_fun(_u18687, tc_HOL_Obool)))) = _u18688) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_Inf__empty ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_Inf__empty-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u18689) | ( c_Complete__Lattice_OInf__class_OInf(_u18689, c_Orderings_Obot__class_Obot(tc_fun(_u18689, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(_u18689)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_Inf__UNIV ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_Inf__UNIV-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u18690) | ( c_Complete__Lattice_OInf__class_OInf(_u18690, c_Orderings_Otop__class_Otop(tc_fun(_u18690, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(_u18690)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_Inf__insert ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_Inf__insert-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u18691) | ( c_Complete__Lattice_OInf__class_OInf(_u18691, hAPP(hAPP(c_Set_Oinsert(_u18691), _u18692), _u18693)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u18691), _u18692), c_Complete__Lattice_OInf__class_OInf(_u18691, _u18693))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_Inf__lower ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_Inf__lower-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u18694) | ~hBOOL(hAPP(hAPP(c_member(_u18694), _u18695), _u18696)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18694), c_Complete__Lattice_OInf__class_OInf(_u18694, _u18696)), _u18695)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_Inter__eq ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_Inter__eq-1, axiom, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u18697, tc_HOL_Obool), _u18698) = hAPP(c_Set_OCollect(_u18697), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u18697, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool, _u18697), c_HOL_OAll(tc_fun(_u18697, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u18697, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u18697, tc_HOL_Obool), tc_HOL_Obool), _u18697), hAPP(c_COMBS(tc_fun(_u18697, 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(_u18697, tc_HOL_Obool)), c_fimplies), hAPP(hAPP(c_COMBC(tc_fun(_u18697, tc_HOL_Obool), tc_fun(tc_fun(_u18697, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u18697, tc_HOL_Obool))), _u18698)))), c_member(_u18697))))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_Inter__anti__mono ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_Inter__anti__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u18699, tc_HOL_Obool), tc_HOL_Obool)), _u18700), _u18701)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18699, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u18699, tc_HOL_Obool), _u18701)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u18699, tc_HOL_Obool), _u18700))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_Inter__empty ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_Inter__empty-1, axiom, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u18702, tc_HOL_Obool), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u18702, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u18702, tc_HOL_Obool))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_le__Inf__iff ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_le__Inf__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u18705) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18705), _u18706), c_Complete__Lattice_OInf__class_OInf(_u18705, _u18707))) | ~hBOOL(hAPP(hAPP(c_member(_u18705), _u18703), _u18707)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18705), _u18706), _u18703)) )).
% 39.89/40.10 cnf(fact_le__Inf__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u18705) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18705), _u18706), c_Complete__Lattice_OInf__class_OInf(_u18705, _u18707))) | hBOOL(hAPP(hAPP(c_member(_u18705), skolem432(_u18707, _u18706, _u18705)), _u18707)) )).
% 39.89/40.10 cnf(fact_le__Inf__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u18705) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18705), _u18706), c_Complete__Lattice_OInf__class_OInf(_u18705, _u18707))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18705), _u18706), skolem432(_u18707, _u18706, _u18705))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_Inter__lower ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_Inter__lower-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u18708, tc_HOL_Obool)), _u18709), _u18710)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18708, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u18708, tc_HOL_Obool), _u18710)), _u18709)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_Inf__less__iff ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_Inf__less__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u18713) | ~class_Orderings_Olinorder(_u18713) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u18713), c_Complete__Lattice_OInf__class_OInf(_u18713, _u18714)), _u18715)) | hBOOL(hAPP(hAPP(c_member(_u18713), skolem433(_u18715, _u18714, _u18713)), _u18714)) )).
% 39.89/40.10 cnf(fact_Inf__less__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u18713) | ~class_Orderings_Olinorder(_u18713) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u18713), c_Complete__Lattice_OInf__class_OInf(_u18713, _u18714)), _u18715)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u18713), skolem433(_u18715, _u18714, _u18713)), _u18715)) )).
% 39.89/40.10 cnf(fact_Inf__less__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u18713) | ~class_Orderings_Olinorder(_u18713) | ~hBOOL(hAPP(hAPP(c_member(_u18713), _u18712), _u18714)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u18713), _u18712), _u18715)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u18713), c_Complete__Lattice_OInf__class_OInf(_u18713, _u18714)), _u18715)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_Inter__UNIV ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_Inter__UNIV-1, axiom, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u18716, tc_HOL_Obool), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u18716, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u18716, tc_HOL_Obool))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_Un__Inter ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_Un__Inter-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u18717, tc_HOL_Obool)), _u18718), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u18717, tc_HOL_Obool), _u18719)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u18717, tc_HOL_Obool), tc_fun(_u18717, tc_HOL_Obool)), _u18719), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u18717, tc_HOL_Obool)), _u18718))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_Int__eq__Inter ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_Int__eq__Inter-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18720, tc_HOL_Obool)), _u18721), _u18722) = c_Complete__Lattice_OInf__class_OInf(tc_fun(_u18720, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u18720, tc_HOL_Obool)), _u18721), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u18720, tc_HOL_Obool)), _u18722), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u18720, tc_HOL_Obool), tc_HOL_Obool)))))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_Int__Inter__image ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_Int__Inter__image-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18723, tc_fun(_u18724, tc_HOL_Obool)), _u18725), hAPP(hAPP(c_COMBS(_u18723, tc_fun(_u18724, tc_HOL_Obool), tc_fun(_u18724, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18724, tc_HOL_Obool), tc_fun(tc_fun(_u18724, tc_HOL_Obool), tc_fun(_u18724, tc_HOL_Obool)), _u18723), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18724, tc_HOL_Obool))), _u18726)), _u18727)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18724, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u18724, tc_HOL_Obool), hAPP(c_Set_Oimage(_u18723, tc_fun(_u18724, tc_HOL_Obool), _u18726), _u18725))), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u18724, tc_HOL_Obool), hAPP(c_Set_Oimage(_u18723, tc_fun(_u18724, tc_HOL_Obool), _u18727), _u18725)))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_Inter__Un__subset ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_Inter__Un__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18728, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u18728, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u18728, tc_HOL_Obool), _u18729)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u18728, tc_HOL_Obool), _u18730))), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u18728, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(_u18728, tc_HOL_Obool), tc_HOL_Obool)), _u18729), _u18730)))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_Inf__binary ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_Inf__binary-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u18731) | ( c_Complete__Lattice_OInf__class_OInf(_u18731, hAPP(hAPP(c_Set_Oinsert(_u18731), _u18732), hAPP(hAPP(c_Set_Oinsert(_u18731), _u18733), c_Orderings_Obot__class_Obot(tc_fun(_u18731, tc_HOL_Obool))))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u18731), _u18732), _u18733)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_Inf__fin__Inf ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_Inf__fin__Inf-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u18734) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18734), _u18735)) | ( _u18735 = c_Orderings_Obot__class_Obot(tc_fun(_u18734, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u18734, _u18735) = c_Complete__Lattice_OInf__class_OInf(_u18734, _u18735)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_Inf__set__fold ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_Inf__set__fold-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u18736) | ( c_Complete__Lattice_OInf__class_OInf(_u18736, hAPP(c_List_Oset(_u18736), _u18737)) = hAPP(c_List_Ofoldl(_u18736, _u18736, c_Lattices_Osemilattice__inf__class_Oinf(_u18736), c_Orderings_Otop__class_Otop(_u18736)), _u18737)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_Inf__Sup ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_Inf__Sup-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u18738) | ( c_Complete__Lattice_OInf__class_OInf(_u18738, _u18739) = c_Complete__Lattice_OSup__class_OSup(_u18738, hAPP(c_Set_OCollect(_u18738), hAPP(hAPP(c_COMBB(tc_fun(_u18738, tc_HOL_Obool), tc_HOL_Obool, _u18738), c_HOL_OAll(_u18738)), hAPP(hAPP(c_COMBB(tc_fun(_u18738, tc_HOL_Obool), tc_fun(_u18738, tc_HOL_Obool), _u18738), hAPP(c_COMBS(_u18738, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u18738), c_fimplies), hAPP(hAPP(c_COMBC(_u18738, tc_fun(_u18738, tc_HOL_Obool), tc_HOL_Obool), c_member(_u18738)), _u18739)))), c_Orderings_Oord__class_Oless__eq(_u18738)))))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_list__all2__def ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_list__all2__def-1, axiom, ( ~c_List_Olist__all2(_u18747, _u18749, _u18751, _u18753, _u18755) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18747)), _u18753) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18749)), _u18755)) )).
% 39.89/40.10 cnf(fact_list__all2__def-2, axiom, ( ~c_List_Olist__all2(_u18747, _u18749, _u18751, _u18753, _u18755) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18747, _u18749)), _u18740), hAPP(c_List_Oset(tc_prod(_u18747, _u18749)), hAPP(hAPP(c_List_Ozip(_u18747, _u18749), _u18753), _u18755)))) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u18747, _u18749, tc_HOL_Obool), _u18751), _u18740)) )).
% 39.89/40.10 cnf(fact_list__all2__def-3, axiom, ( c_List_Olist__all2(_u18748, _u18750, _u18752, _u18754, _u18756) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18748)), _u18754) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18750)), _u18756)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18748, _u18750)), skolem434(_u18756, _u18754, _u18752, _u18750, _u18748)), hAPP(c_List_Oset(tc_prod(_u18748, _u18750)), hAPP(hAPP(c_List_Ozip(_u18748, _u18750), _u18754), _u18756)))) )).
% 39.89/40.10 cnf(fact_list__all2__def-4, axiom, ( c_List_Olist__all2(_u18748, _u18750, _u18752, _u18754, _u18756) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18748)), _u18754) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18750)), _u18756)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u18748, _u18750, tc_HOL_Obool), _u18752), skolem434(_u18756, _u18754, _u18752, _u18750, _u18748))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_sorted_Osimps ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_sorted_Osimps-1, axiom, ( ~class_Orderings_Olinorder(_u18763) | ~c_List_Olinorder__class_Osorted(_u18763, _u18764) | ( _u18764 = c_List_Olist_ONil(_u18763)) | c_List_Olinorder__class_Osorted(_u18763, skolem435(_u18764, _u18763)) )).
% 39.89/40.10 cnf(fact_sorted_Osimps-2, axiom, ( ~class_Orderings_Olinorder(_u18763) | ~c_List_Olinorder__class_Osorted(_u18763, _u18764) | ( _u18764 = c_List_Olist_ONil(_u18763)) | ( _u18764 = hAPP(hAPP(c_List_Olist_OCons(_u18763), skolem436(_u18764, _u18763)), skolem435(_u18764, _u18763))) )).
% 39.89/40.10 cnf(fact_sorted_Osimps-3, axiom, ( ~class_Orderings_Olinorder(_u18763) | ~c_List_Olinorder__class_Osorted(_u18763, _u18764) | ( _u18764 = c_List_Olist_ONil(_u18763)) | ~hBOOL(hAPP(hAPP(c_member(_u18763), _u18757), hAPP(c_List_Oset(_u18763), skolem435(_u18764, _u18763)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18763), skolem436(_u18764, _u18763)), _u18757)) )).
% 39.89/40.10 cnf(fact_sorted_Osimps-4, axiom, ( ~class_Orderings_Olinorder(_u18763) | c_List_Olinorder__class_Osorted(_u18763, _u18764) | ( _u18764 != c_List_Olist_ONil(_u18763)) )).
% 39.89/40.10 cnf(fact_sorted_Osimps-5, axiom, ( ~class_Orderings_Olinorder(_u18763) | c_List_Olinorder__class_Osorted(_u18763, _u18764) | ~c_List_Olinorder__class_Osorted(_u18763, _u18762) | ( _u18764 != hAPP(hAPP(c_List_Olist_OCons(_u18763), _u18761), _u18762)) | hBOOL(hAPP(hAPP(c_member(_u18763), skolem437(_u18764, _u18763, _u18762, _u18761)), hAPP(c_List_Oset(_u18763), _u18762))) )).
% 39.89/40.10 cnf(fact_sorted_Osimps-6, axiom, ( ~class_Orderings_Olinorder(_u18763) | c_List_Olinorder__class_Osorted(_u18763, _u18764) | ~c_List_Olinorder__class_Osorted(_u18763, _u18762) | ( _u18764 != hAPP(hAPP(c_List_Olist_OCons(_u18763), _u18761), _u18762)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18763), _u18761), skolem437(_u18764, _u18763, _u18762, _u18761))) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_list__all2__appendI ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_list__all2__appendI-1, axiom, ( ~c_List_Olist__all2(_u18765, _u18766, _u18767, _u18768, _u18769) | ~c_List_Olist__all2(_u18765, _u18766, _u18767, _u18770, _u18771) | c_List_Olist__all2(_u18765, _u18766, _u18767, hAPP(hAPP(c_List_Oappend(_u18765), _u18768), _u18770), hAPP(hAPP(c_List_Oappend(_u18766), _u18769), _u18771)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_list__all2__append ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_list__all2__append-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18772)), _u18773) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18774)), _u18775)) | ~c_List_Olist__all2(_u18772, _u18774, _u18776, hAPP(hAPP(c_List_Oappend(_u18772), _u18773), _u18777), hAPP(hAPP(c_List_Oappend(_u18774), _u18775), _u18778)) | c_List_Olist__all2(_u18772, _u18774, _u18776, _u18773, _u18775) )).
% 39.89/40.10 cnf(fact_list__all2__append-2, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18772)), _u18773) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18774)), _u18775)) | ~c_List_Olist__all2(_u18772, _u18774, _u18776, hAPP(hAPP(c_List_Oappend(_u18772), _u18773), _u18777), hAPP(hAPP(c_List_Oappend(_u18774), _u18775), _u18778)) | c_List_Olist__all2(_u18772, _u18774, _u18776, _u18777, _u18778) )).
% 39.89/40.10 cnf(fact_list__all2__append-3, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18772)), _u18773) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18774)), _u18775)) | ~c_List_Olist__all2(_u18772, _u18774, _u18776, _u18773, _u18775) | ~c_List_Olist__all2(_u18772, _u18774, _u18776, _u18777, _u18778) | c_List_Olist__all2(_u18772, _u18774, _u18776, hAPP(hAPP(c_List_Oappend(_u18772), _u18773), _u18777), hAPP(hAPP(c_List_Oappend(_u18774), _u18775), _u18778)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_list__all2__Nil ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_list__all2__Nil-1, axiom, ( ( _u18789 = c_List_Olist_ONil(_u18785)) | ~c_List_Olist__all2(_u18783, _u18785, _u18787, c_List_Olist_ONil(_u18783), _u18789) )).
% 39.89/40.10 cnf(fact_list__all2__Nil-2, axiom, ( ( _u18790 != c_List_Olist_ONil(_u18786)) | c_List_Olist__all2(_u18784, _u18786, _u18788, c_List_Olist_ONil(_u18784), _u18790) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_list__all2__Nil2 ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_list__all2__Nil2-1, axiom, ( ~c_List_Olist__all2(_u18795, _u18797, _u18799, _u18801, c_List_Olist_ONil(_u18797)) | ( _u18801 = c_List_Olist_ONil(_u18795)) )).
% 39.89/40.10 cnf(fact_list__all2__Nil2-2, axiom, ( ( _u18802 != c_List_Olist_ONil(_u18796)) | c_List_Olist__all2(_u18796, _u18798, _u18800, _u18802, c_List_Olist_ONil(_u18798)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_list__all2__lengthD ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_list__all2__lengthD-1, axiom, ( ~c_List_Olist__all2(_u18803, _u18804, _u18805, _u18806, _u18807) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18803)), _u18806) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18804)), _u18807)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_list__all2__eq ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_list__all2__eq-1, axiom, ( ( _u18811 != _u18813) | c_List_Olist__all2(_u18815, _u18815, c_fequal, _u18811, _u18813) )).
% 39.89/40.10 cnf(fact_list__all2__eq-2, axiom, ( ~c_List_Olist__all2(_u18816, _u18816, c_fequal, _u18812, _u18814) | ( _u18812 = _u18814) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_list__all2__takeI ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_list__all2__takeI-1, axiom, ( ~c_List_Olist__all2(_u18817, _u18818, _u18819, _u18820, _u18821) | c_List_Olist__all2(_u18817, _u18818, _u18819, hAPP(hAPP(c_List_Otake(_u18817), _u18822), _u18820), hAPP(hAPP(c_List_Otake(_u18818), _u18822), _u18821)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_list__all2__Cons ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_list__all2__Cons-1, axiom, ( ~c_List_Olist__all2(_u18830, _u18832, _u18834, hAPP(hAPP(c_List_Olist_OCons(_u18830), _u18836), _u18838), hAPP(hAPP(c_List_Olist_OCons(_u18832), _u18840), _u18842)) | hBOOL(hAPP(hAPP(_u18834, _u18836), _u18840)) )).
% 39.89/40.10 cnf(fact_list__all2__Cons-2, axiom, ( ~c_List_Olist__all2(_u18830, _u18832, _u18834, hAPP(hAPP(c_List_Olist_OCons(_u18830), _u18836), _u18838), hAPP(hAPP(c_List_Olist_OCons(_u18832), _u18840), _u18842)) | c_List_Olist__all2(_u18830, _u18832, _u18834, _u18838, _u18842) )).
% 39.89/40.10 cnf(fact_list__all2__Cons-3, axiom, ( ~hBOOL(hAPP(hAPP(_u18835, _u18837), _u18841)) | ~c_List_Olist__all2(_u18831, _u18833, _u18835, _u18839, _u18843) | c_List_Olist__all2(_u18831, _u18833, _u18835, hAPP(hAPP(c_List_Olist_OCons(_u18831), _u18837), _u18839), hAPP(hAPP(c_List_Olist_OCons(_u18833), _u18841), _u18843)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_list__all2__map2 ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_list__all2__map2-1, axiom, ( ~c_List_Olist__all2(_u18851, _u18853, _u18855, _u18857, hAPP(hAPP(c_List_Omap(_u18859, _u18853), _u18861), _u18863)) | c_List_Olist__all2(_u18851, _u18859, hAPP(hAPP(c_COMBC(_u18851, tc_fun(_u18859, _u18853), tc_fun(_u18859, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18853, tc_HOL_Obool), tc_fun(tc_fun(_u18859, _u18853), tc_fun(_u18859, tc_HOL_Obool)), _u18851), c_COMBB(_u18853, tc_HOL_Obool, _u18859)), _u18855)), _u18861), _u18857, _u18863) )).
% 39.89/40.10 cnf(fact_list__all2__map2-2, axiom, ( ~c_List_Olist__all2(_u18852, _u18860, hAPP(hAPP(c_COMBC(_u18852, tc_fun(_u18860, _u18854), tc_fun(_u18860, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18854, tc_HOL_Obool), tc_fun(tc_fun(_u18860, _u18854), tc_fun(_u18860, tc_HOL_Obool)), _u18852), c_COMBB(_u18854, tc_HOL_Obool, _u18860)), _u18856)), _u18862), _u18858, _u18864) | c_List_Olist__all2(_u18852, _u18854, _u18856, _u18858, hAPP(hAPP(c_List_Omap(_u18860, _u18854), _u18862), _u18864)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_list__all2__map1 ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_list__all2__map1-1, axiom, ( ~c_List_Olist__all2(_u18872, _u18874, _u18876, hAPP(hAPP(c_List_Omap(_u18878, _u18872), _u18880), _u18882), _u18884) | c_List_Olist__all2(_u18878, _u18874, hAPP(hAPP(c_COMBB(_u18872, tc_fun(_u18874, tc_HOL_Obool), _u18878), _u18876), _u18880), _u18882, _u18884) )).
% 39.89/40.10 cnf(fact_list__all2__map1-2, axiom, ( ~c_List_Olist__all2(_u18879, _u18875, hAPP(hAPP(c_COMBB(_u18873, tc_fun(_u18875, tc_HOL_Obool), _u18879), _u18877), _u18881), _u18883, _u18885) | c_List_Olist__all2(_u18873, _u18875, _u18877, hAPP(hAPP(c_List_Omap(_u18879, _u18873), _u18881), _u18883), _u18885) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_list__all2__dropI ( axiom ) converted to clauses:
% 39.89/40.10 cnf(fact_list__all2__dropI-1, axiom, ( ~c_List_Olist__all2(_u18886, _u18887, _u18888, _u18889, _u18890) | c_List_Olist__all2(_u18886, _u18887, _u18888, hAPP(hAPP(c_List_Odrop(_u18886), _u18891), _u18889), hAPP(hAPP(c_List_Odrop(_u18887), _u18891), _u18890)) )).
% 39.89/40.10
% 39.89/40.10 % Formula: fact_list__all2__rev1 ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_list__all2__rev1-1, axiom, ( ~c_List_Olist__all2(_u18897, _u18899, _u18901, hAPP(c_List_Orev(_u18897), _u18903), _u18905) | c_List_Olist__all2(_u18897, _u18899, _u18901, _u18903, hAPP(c_List_Orev(_u18899), _u18905)) )).
% 39.89/40.11 cnf(fact_list__all2__rev1-2, axiom, ( ~c_List_Olist__all2(_u18898, _u18900, _u18902, _u18904, hAPP(c_List_Orev(_u18900), _u18906)) | c_List_Olist__all2(_u18898, _u18900, _u18902, hAPP(c_List_Orev(_u18898), _u18904), _u18906) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_list__all2__rev ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_list__all2__rev-1, axiom, ( ~c_List_Olist__all2(_u18912, _u18914, _u18916, hAPP(c_List_Orev(_u18912), _u18918), hAPP(c_List_Orev(_u18914), _u18920)) | c_List_Olist__all2(_u18912, _u18914, _u18916, _u18918, _u18920) )).
% 39.89/40.11 cnf(fact_list__all2__rev-2, axiom, ( ~c_List_Olist__all2(_u18913, _u18915, _u18917, _u18919, _u18921) | c_List_Olist__all2(_u18913, _u18915, _u18917, hAPP(c_List_Orev(_u18913), _u18919), hAPP(c_List_Orev(_u18915), _u18921)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_list__all2__conv__all__nth ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_list__all2__conv__all__nth-1, axiom, ( ~c_List_Olist__all2(_u18929, _u18931, _u18933, _u18935, _u18937) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18929)), _u18935) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18931)), _u18937)) )).
% 39.89/40.11 cnf(fact_list__all2__conv__all__nth-2, axiom, ( ~c_List_Olist__all2(_u18929, _u18931, _u18933, _u18935, _u18937) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18922), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18929)), _u18935))) | hBOOL(hAPP(hAPP(_u18933, hAPP(hAPP(c_List_Onth(_u18929), _u18935), _u18922)), hAPP(hAPP(c_List_Onth(_u18931), _u18937), _u18922))) )).
% 39.89/40.11 cnf(fact_list__all2__conv__all__nth-3, axiom, ( c_List_Olist__all2(_u18930, _u18932, _u18934, _u18936, _u18938) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18930)), _u18936) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18932)), _u18938)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem438(_u18938, _u18936, _u18934, _u18932, _u18930)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18930)), _u18936))) )).
% 39.89/40.11 cnf(fact_list__all2__conv__all__nth-4, axiom, ( c_List_Olist__all2(_u18930, _u18932, _u18934, _u18936, _u18938) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18930)), _u18936) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18932)), _u18938)) | ~hBOOL(hAPP(hAPP(_u18934, hAPP(hAPP(c_List_Onth(_u18930), _u18936), skolem438(_u18938, _u18936, _u18934, _u18932, _u18930))), hAPP(hAPP(c_List_Onth(_u18932), _u18938), skolem438(_u18938, _u18936, _u18934, _u18932, _u18930)))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_list__all2__nthD ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_list__all2__nthD-1, axiom, ( ~c_List_Olist__all2(_u18939, _u18940, _u18941, _u18942, _u18943) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18944), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18939)), _u18942))) | hBOOL(hAPP(hAPP(_u18941, hAPP(hAPP(c_List_Onth(_u18939), _u18942), _u18944)), hAPP(hAPP(c_List_Onth(_u18940), _u18943), _u18944))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_list__all2__nthD2 ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_list__all2__nthD2-1, axiom, ( ~c_List_Olist__all2(_u18945, _u18946, _u18947, _u18948, _u18949) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18950), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18946)), _u18949))) | hBOOL(hAPP(hAPP(_u18947, hAPP(hAPP(c_List_Onth(_u18945), _u18948), _u18950)), hAPP(hAPP(c_List_Onth(_u18946), _u18949), _u18950))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_list__all2__update__cong ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_list__all2__update__cong-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18951), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18952)), _u18953))) | ~c_List_Olist__all2(_u18952, _u18954, _u18955, _u18953, _u18956) | ~hBOOL(hAPP(hAPP(_u18955, _u18957), _u18958)) | c_List_Olist__all2(_u18952, _u18954, _u18955, hAPP(hAPP(c_List_Olist__update(_u18952, _u18953), _u18951), _u18957), hAPP(hAPP(c_List_Olist__update(_u18954, _u18956), _u18951), _u18958)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_list__all2__update__cong2 ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_list__all2__update__cong2-1, axiom, ( ~c_List_Olist__all2(_u18959, _u18960, _u18961, _u18962, _u18963) | ~hBOOL(hAPP(hAPP(_u18961, _u18964), _u18965)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18966), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18960)), _u18963))) | c_List_Olist__all2(_u18959, _u18960, _u18961, hAPP(hAPP(c_List_Olist__update(_u18959, _u18962), _u18966), _u18964), hAPP(hAPP(c_List_Olist__update(_u18960, _u18963), _u18966), _u18965)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_list__all2I ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_list__all2I-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18968)), _u18970) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18969)), _u18971)) | c_List_Olist__all2(_u18968, _u18969, _u18972, _u18970, _u18971) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18968, _u18969)), skolem439(_u18972, _u18971, _u18970, _u18969, _u18968)), hAPP(c_List_Oset(tc_prod(_u18968, _u18969)), hAPP(hAPP(c_List_Ozip(_u18968, _u18969), _u18970), _u18971)))) )).
% 39.89/40.11 cnf(fact_list__all2I-2, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18968)), _u18970) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18969)), _u18971)) | c_List_Olist__all2(_u18968, _u18969, _u18972, _u18970, _u18971) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u18968, _u18969, tc_HOL_Obool), _u18972), skolem439(_u18972, _u18971, _u18970, _u18969, _u18968))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_card__partition ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_card__partition-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u18976, tc_HOL_Obool)), _u18977)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18976), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u18976, tc_HOL_Obool), _u18977))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u18976, tc_HOL_Obool)), skolem440(_u18978, _u18977, _u18976)), _u18977)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u18978), hAPP(c_Finite__Set_Ocard(tc_fun(_u18976, tc_HOL_Obool)), _u18977)) = hAPP(c_Finite__Set_Ocard(_u18976), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u18976, tc_HOL_Obool), _u18977))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u18976, tc_HOL_Obool)), skolem441(_u18978, _u18977, _u18976)), _u18977)) )).
% 39.89/40.11 cnf(fact_card__partition-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u18976, tc_HOL_Obool)), _u18977)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18976), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u18976, tc_HOL_Obool), _u18977))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u18976, tc_HOL_Obool)), skolem440(_u18978, _u18977, _u18976)), _u18977)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u18978), hAPP(c_Finite__Set_Ocard(tc_fun(_u18976, tc_HOL_Obool)), _u18977)) = hAPP(c_Finite__Set_Ocard(_u18976), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u18976, tc_HOL_Obool), _u18977))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u18976, tc_HOL_Obool)), skolem442(_u18978, _u18977, _u18976)), _u18977)) )).
% 39.89/40.11 cnf(fact_card__partition-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u18976, tc_HOL_Obool)), _u18977)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18976), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u18976, tc_HOL_Obool), _u18977))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u18976, tc_HOL_Obool)), skolem440(_u18978, _u18977, _u18976)), _u18977)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u18978), hAPP(c_Finite__Set_Ocard(tc_fun(_u18976, tc_HOL_Obool)), _u18977)) = hAPP(c_Finite__Set_Ocard(_u18976), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u18976, tc_HOL_Obool), _u18977))) | ( skolem441(_u18978, _u18977, _u18976) != skolem442(_u18978, _u18977, _u18976)) )).
% 39.89/40.11 cnf(fact_card__partition-4, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u18976, tc_HOL_Obool)), _u18977)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18976), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u18976, tc_HOL_Obool), _u18977))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u18976, tc_HOL_Obool)), skolem440(_u18978, _u18977, _u18976)), _u18977)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u18978), hAPP(c_Finite__Set_Ocard(tc_fun(_u18976, tc_HOL_Obool)), _u18977)) = hAPP(c_Finite__Set_Ocard(_u18976), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u18976, tc_HOL_Obool), _u18977))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18976, tc_HOL_Obool)), skolem441(_u18978, _u18977, _u18976)), skolem442(_u18978, _u18977, _u18976)) != c_Orderings_Obot__class_Obot(tc_fun(_u18976, tc_HOL_Obool))) )).
% 39.89/40.11 cnf(fact_card__partition-5, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u18976, tc_HOL_Obool)), _u18977)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18976), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u18976, tc_HOL_Obool), _u18977))) | ( hAPP(c_Finite__Set_Ocard(_u18976), skolem440(_u18978, _u18977, _u18976)) != _u18978) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u18978), hAPP(c_Finite__Set_Ocard(tc_fun(_u18976, tc_HOL_Obool)), _u18977)) = hAPP(c_Finite__Set_Ocard(_u18976), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u18976, tc_HOL_Obool), _u18977))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u18976, tc_HOL_Obool)), skolem441(_u18978, _u18977, _u18976)), _u18977)) )).
% 39.89/40.11 cnf(fact_card__partition-6, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u18976, tc_HOL_Obool)), _u18977)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18976), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u18976, tc_HOL_Obool), _u18977))) | ( hAPP(c_Finite__Set_Ocard(_u18976), skolem440(_u18978, _u18977, _u18976)) != _u18978) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u18978), hAPP(c_Finite__Set_Ocard(tc_fun(_u18976, tc_HOL_Obool)), _u18977)) = hAPP(c_Finite__Set_Ocard(_u18976), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u18976, tc_HOL_Obool), _u18977))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u18976, tc_HOL_Obool)), skolem442(_u18978, _u18977, _u18976)), _u18977)) )).
% 39.89/40.11 cnf(fact_card__partition-7, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u18976, tc_HOL_Obool)), _u18977)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18976), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u18976, tc_HOL_Obool), _u18977))) | ( hAPP(c_Finite__Set_Ocard(_u18976), skolem440(_u18978, _u18977, _u18976)) != _u18978) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u18978), hAPP(c_Finite__Set_Ocard(tc_fun(_u18976, tc_HOL_Obool)), _u18977)) = hAPP(c_Finite__Set_Ocard(_u18976), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u18976, tc_HOL_Obool), _u18977))) | ( skolem441(_u18978, _u18977, _u18976) != skolem442(_u18978, _u18977, _u18976)) )).
% 39.89/40.11 cnf(fact_card__partition-8, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u18976, tc_HOL_Obool)), _u18977)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18976), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u18976, tc_HOL_Obool), _u18977))) | ( hAPP(c_Finite__Set_Ocard(_u18976), skolem440(_u18978, _u18977, _u18976)) != _u18978) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u18978), hAPP(c_Finite__Set_Ocard(tc_fun(_u18976, tc_HOL_Obool)), _u18977)) = hAPP(c_Finite__Set_Ocard(_u18976), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u18976, tc_HOL_Obool), _u18977))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18976, tc_HOL_Obool)), skolem441(_u18978, _u18977, _u18976)), skolem442(_u18978, _u18977, _u18976)) != c_Orderings_Obot__class_Obot(tc_fun(_u18976, tc_HOL_Obool))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_all__nth__imp__all__set ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_all__nth__imp__all__set-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18980), _u18983), hAPP(c_List_Oset(_u18980), _u18981))) | hBOOL(hAPP(_u18982, _u18983)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem443(_u18983, _u18982, _u18981, _u18980)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18980)), _u18981))) )).
% 39.89/40.11 cnf(fact_all__nth__imp__all__set-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18980), _u18983), hAPP(c_List_Oset(_u18980), _u18981))) | hBOOL(hAPP(_u18982, _u18983)) | ~hBOOL(hAPP(_u18982, hAPP(hAPP(c_List_Onth(_u18980), _u18981), skolem443(_u18983, _u18982, _u18981, _u18980)))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_map__removeAll__inj__on ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_map__removeAll__inj__on-1, axiom, ( ~c_Fun_Oinj__on(_u18984, _u18985, _u18986, hAPP(hAPP(c_Set_Oinsert(_u18984), _u18987), hAPP(c_List_Oset(_u18984), _u18988))) | ( hAPP(hAPP(c_List_Omap(_u18984, _u18985), _u18986), hAPP(c_List_OremoveAll(_u18984, _u18987), _u18988)) = hAPP(c_List_OremoveAll(_u18985, hAPP(_u18986, _u18987)), hAPP(hAPP(c_List_Omap(_u18984, _u18985), _u18986), _u18988))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_removeAll__append ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_removeAll__append-1, axiom, ( ( hAPP(c_List_OremoveAll(_u18989, _u18990), hAPP(hAPP(c_List_Oappend(_u18989), _u18991), _u18992)) = hAPP(hAPP(c_List_Oappend(_u18989), hAPP(c_List_OremoveAll(_u18989, _u18990), _u18991)), hAPP(c_List_OremoveAll(_u18989, _u18990), _u18992))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_removeAll_Osimps_I1_J ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_removeAll_Osimps_I1_J-1, axiom, ( ( hAPP(c_List_OremoveAll(_u18993, _u18994), c_List_Olist_ONil(_u18993)) = c_List_Olist_ONil(_u18993)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_removeAll__filter__not ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_removeAll__filter__not-1, axiom, ( hBOOL(hAPP(_u18995, _u18996)) | ( hAPP(c_List_OremoveAll(_u18997, _u18996), hAPP(c_List_Ofilter(_u18997, _u18995), _u18998)) = hAPP(c_List_Ofilter(_u18997, _u18995), _u18998)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_removeAll__filter__not__eq ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_removeAll__filter__not__eq-1, axiom, ( ( c_List_OremoveAll(_u18999, _u19000) = c_List_Ofilter(_u18999, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18999), c_fNot), hAPP(c_fequal, _u19000)))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_distinct__removeAll ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_distinct__removeAll-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u19001), _u19002)) | hBOOL(hAPP(c_List_Odistinct(_u19001), hAPP(c_List_OremoveAll(_u19001, _u19003), _u19002))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_removeAll_Osimps_I2_J ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_removeAll_Osimps_I2_J-1, axiom, ( ( _u19008 != _u19010) | ( hAPP(c_List_OremoveAll(_u19012, _u19008), hAPP(hAPP(c_List_Olist_OCons(_u19012), _u19010), _u19014)) = hAPP(c_List_OremoveAll(_u19012, _u19008), _u19014)) )).
% 39.89/40.11 cnf(fact_removeAll_Osimps_I2_J-2, axiom, ( ( _u19009 = _u19011) | ( hAPP(c_List_OremoveAll(_u19013, _u19009), hAPP(hAPP(c_List_Olist_OCons(_u19013), _u19011), _u19015)) = hAPP(hAPP(c_List_Olist_OCons(_u19013), _u19011), hAPP(c_List_OremoveAll(_u19013, _u19009), _u19015))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_removeAll__id ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_removeAll__id-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u19016), _u19017), hAPP(c_List_Oset(_u19016), _u19018))) | ( hAPP(c_List_OremoveAll(_u19016, _u19017), _u19018) = _u19018) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_distinct__remove1__removeAll ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_distinct__remove1__removeAll-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u19019), _u19020)) | ( c_List_Oremove1(_u19019, _u19021, _u19020) = hAPP(c_List_OremoveAll(_u19019, _u19021), _u19020)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_map__removeAll__inj ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_map__removeAll__inj-1, axiom, ( ~c_Fun_Oinj__on(_u19022, _u19023, _u19024, c_Orderings_Otop__class_Otop(tc_fun(_u19022, tc_HOL_Obool))) | ( hAPP(hAPP(c_List_Omap(_u19022, _u19023), _u19024), hAPP(c_List_OremoveAll(_u19022, _u19025), _u19026)) = hAPP(c_List_OremoveAll(_u19023, hAPP(_u19024, _u19025)), hAPP(hAPP(c_List_Omap(_u19022, _u19023), _u19024), _u19026))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_set__removeAll ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_set__removeAll-1, axiom, ( ( hAPP(c_List_Oset(_u19027), hAPP(c_List_OremoveAll(_u19027, _u19028), _u19029)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u19027, tc_HOL_Obool)), hAPP(c_List_Oset(_u19027), _u19029)), hAPP(hAPP(c_Set_Oinsert(_u19027), _u19028), c_Orderings_Obot__class_Obot(tc_fun(_u19027, tc_HOL_Obool))))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_not__in__set__insert ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_not__in__set__insert-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u19030), _u19031), hAPP(c_List_Oset(_u19030), _u19032))) | ( c_List_Oinsert(_u19030, _u19031, _u19032) = hAPP(hAPP(c_List_Olist_OCons(_u19030), _u19031), _u19032)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_List_Oinsert__def ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_List_Oinsert__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19036), _u19038), hAPP(c_List_Oset(_u19036), _u19040))) | ( c_List_Oinsert(_u19036, _u19038, _u19040) = _u19040) )).
% 39.89/40.11 cnf(fact_List_Oinsert__def-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u19037), _u19039), hAPP(c_List_Oset(_u19037), _u19041))) | ( c_List_Oinsert(_u19037, _u19039, _u19041) = hAPP(hAPP(c_List_Olist_OCons(_u19037), _u19039), _u19041)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_distinct__insert ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_distinct__insert-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u19042), _u19043)) | hBOOL(hAPP(c_List_Odistinct(_u19042), c_List_Oinsert(_u19042, _u19044, _u19043))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_insert__remdups ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_insert__remdups-1, axiom, ( ( c_List_Oinsert(_u19045, _u19046, c_List_Oremdups(_u19045, _u19047)) = c_List_Oremdups(_u19045, c_List_Oinsert(_u19045, _u19046, _u19047))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_in__set__insert ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_in__set__insert-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19048), _u19049), hAPP(c_List_Oset(_u19048), _u19050))) | ( c_List_Oinsert(_u19048, _u19049, _u19050) = _u19050) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_List_Oset__insert ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_List_Oset__insert-1, axiom, ( ( hAPP(c_List_Oset(_u19051), c_List_Oinsert(_u19051, _u19052, _u19053)) = hAPP(hAPP(c_Set_Oinsert(_u19051), _u19052), hAPP(c_List_Oset(_u19051), _u19053))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_insert__Nil ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_insert__Nil-1, axiom, ( ( c_List_Oinsert(_u19054, _u19055, c_List_Olist_ONil(_u19054)) = hAPP(hAPP(c_List_Olist_OCons(_u19054), _u19055), c_List_Olist_ONil(_u19054))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_concat__map__maps ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_concat__map__maps-1, axiom, ( ( c_List_Oconcat(_u19056, hAPP(hAPP(c_List_Omap(_u19057, tc_List_Olist(_u19056)), _u19058), _u19059)) = c_List_Omaps(_u19057, _u19056, _u19058, _u19059)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_maps__def ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_maps__def-1, axiom, ( ( c_List_Omaps(_u19060, _u19061, _u19062, _u19063) = c_List_Oconcat(_u19061, hAPP(hAPP(c_List_Omap(_u19060, tc_List_Olist(_u19061)), _u19062), _u19063))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_maps__simps_I2_J ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_maps__simps_I2_J-1, axiom, ( ( c_List_Omaps(_u19064, _u19065, _u19066, c_List_Olist_ONil(_u19064)) = c_List_Olist_ONil(_u19065)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_maps__simps_I1_J ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_maps__simps_I1_J-1, axiom, ( ( c_List_Omaps(_u19067, _u19068, _u19069, hAPP(hAPP(c_List_Olist_OCons(_u19067), _u19070), _u19071)) = hAPP(hAPP(c_List_Oappend(_u19068), hAPP(_u19069, _u19070)), c_List_Omaps(_u19067, _u19068, _u19069, _u19071))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_distinct__concat ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_distinct__concat-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u19075)), _u19076)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19075)), skolem444(_u19076, _u19075)), hAPP(c_List_Oset(tc_List_Olist(_u19075)), _u19076))) | hBOOL(hAPP(c_List_Odistinct(_u19075), c_List_Oconcat(_u19075, _u19076))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19075)), skolem445(_u19076, _u19075)), hAPP(c_List_Oset(tc_List_Olist(_u19075)), _u19076))) )).
% 39.89/40.11 cnf(fact_distinct__concat-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u19075)), _u19076)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19075)), skolem444(_u19076, _u19075)), hAPP(c_List_Oset(tc_List_Olist(_u19075)), _u19076))) | hBOOL(hAPP(c_List_Odistinct(_u19075), c_List_Oconcat(_u19075, _u19076))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19075)), skolem446(_u19076, _u19075)), hAPP(c_List_Oset(tc_List_Olist(_u19075)), _u19076))) )).
% 39.89/40.11 cnf(fact_distinct__concat-3, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u19075)), _u19076)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19075)), skolem444(_u19076, _u19075)), hAPP(c_List_Oset(tc_List_Olist(_u19075)), _u19076))) | hBOOL(hAPP(c_List_Odistinct(_u19075), c_List_Oconcat(_u19075, _u19076))) | ( skolem445(_u19076, _u19075) != skolem446(_u19076, _u19075)) )).
% 39.89/40.11 cnf(fact_distinct__concat-4, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u19075)), _u19076)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19075)), skolem444(_u19076, _u19075)), hAPP(c_List_Oset(tc_List_Olist(_u19075)), _u19076))) | hBOOL(hAPP(c_List_Odistinct(_u19075), c_List_Oconcat(_u19075, _u19076))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u19075, tc_HOL_Obool)), hAPP(c_List_Oset(_u19075), skolem445(_u19076, _u19075))), hAPP(c_List_Oset(_u19075), skolem446(_u19076, _u19075))) != c_Orderings_Obot__class_Obot(tc_fun(_u19075, tc_HOL_Obool))) )).
% 39.89/40.11 cnf(fact_distinct__concat-5, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u19075)), _u19076)) | ~hBOOL(hAPP(c_List_Odistinct(_u19075), skolem444(_u19076, _u19075))) | hBOOL(hAPP(c_List_Odistinct(_u19075), c_List_Oconcat(_u19075, _u19076))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19075)), skolem445(_u19076, _u19075)), hAPP(c_List_Oset(tc_List_Olist(_u19075)), _u19076))) )).
% 39.89/40.11 cnf(fact_distinct__concat-6, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u19075)), _u19076)) | ~hBOOL(hAPP(c_List_Odistinct(_u19075), skolem444(_u19076, _u19075))) | hBOOL(hAPP(c_List_Odistinct(_u19075), c_List_Oconcat(_u19075, _u19076))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19075)), skolem446(_u19076, _u19075)), hAPP(c_List_Oset(tc_List_Olist(_u19075)), _u19076))) )).
% 39.89/40.11 cnf(fact_distinct__concat-7, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u19075)), _u19076)) | ~hBOOL(hAPP(c_List_Odistinct(_u19075), skolem444(_u19076, _u19075))) | hBOOL(hAPP(c_List_Odistinct(_u19075), c_List_Oconcat(_u19075, _u19076))) | ( skolem445(_u19076, _u19075) != skolem446(_u19076, _u19075)) )).
% 39.89/40.11 cnf(fact_distinct__concat-8, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u19075)), _u19076)) | ~hBOOL(hAPP(c_List_Odistinct(_u19075), skolem444(_u19076, _u19075))) | hBOOL(hAPP(c_List_Odistinct(_u19075), c_List_Oconcat(_u19075, _u19076))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u19075, tc_HOL_Obool)), hAPP(c_List_Oset(_u19075), skolem445(_u19076, _u19075))), hAPP(c_List_Oset(_u19075), skolem446(_u19076, _u19075))) != c_Orderings_Obot__class_Obot(tc_fun(_u19075, tc_HOL_Obool))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_measures__lesseq ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_measures__lesseq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(_u19077, _u19078)), hAPP(_u19077, _u19079))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19080, _u19080)), hAPP(hAPP(c_Product__Type_OPair(_u19080, _u19080), _u19078), _u19079)), c_List_Omeasures(_u19080, _u19081))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19080, _u19080)), hAPP(hAPP(c_Product__Type_OPair(_u19080, _u19080), _u19078), _u19079)), c_List_Omeasures(_u19080, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u19080, tc_Nat_Onat)), _u19077), _u19081)))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_wf__measures ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_wf__measures-1, axiom, ( c_Wellfounded_Owf(_u19082, c_List_Omeasures(_u19082, _u19083)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_in__measures_I1_J ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_in__measures_I1_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19084, _u19084)), hAPP(hAPP(c_Product__Type_OPair(_u19084, _u19084), _u19085), _u19086)), c_List_Omeasures(_u19084, c_List_Olist_ONil(tc_fun(_u19084, tc_Nat_Onat))))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_measures__def ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_measures__def-1, axiom, ( ( c_List_Omeasures(_u19087, _u19088) = hAPP(hAPP(c_Relation_Oinv__image(tc_List_Olist(tc_Nat_Onat), _u19087), c_List_Olex(tc_Nat_Onat, c_Wellfounded_Oless__than)), hAPP(hAPP(c_COMBC(_u19087, tc_List_Olist(tc_fun(_u19087, tc_Nat_Onat)), tc_List_Olist(tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19087, tc_Nat_Onat), tc_Nat_Onat), tc_fun(tc_List_Olist(tc_fun(_u19087, tc_Nat_Onat)), tc_List_Olist(tc_Nat_Onat)), _u19087), c_List_Omap(tc_fun(_u19087, tc_Nat_Onat), tc_Nat_Onat)), hAPP(c_COMBC(tc_fun(_u19087, tc_Nat_Onat), _u19087, tc_Nat_Onat), c_COMBI(tc_fun(_u19087, tc_Nat_Onat))))), _u19088))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_measures__less ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_measures__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u19089, _u19090)), hAPP(_u19089, _u19091))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19092, _u19092)), hAPP(hAPP(c_Product__Type_OPair(_u19092, _u19092), _u19090), _u19091)), c_List_Omeasures(_u19092, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u19092, tc_Nat_Onat)), _u19089), _u19093)))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_in__measures_I2_J ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_in__measures_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19099, _u19099)), hAPP(hAPP(c_Product__Type_OPair(_u19099, _u19099), _u19101), _u19103)), c_List_Omeasures(_u19099, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u19099, tc_Nat_Onat)), _u19105), _u19107)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u19105, _u19101)), hAPP(_u19105, _u19103))) | ( hAPP(_u19105, _u19101) = hAPP(_u19105, _u19103)) )).
% 39.89/40.11 cnf(fact_in__measures_I2_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19099, _u19099)), hAPP(hAPP(c_Product__Type_OPair(_u19099, _u19099), _u19101), _u19103)), c_List_Omeasures(_u19099, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u19099, tc_Nat_Onat)), _u19105), _u19107)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u19105, _u19101)), hAPP(_u19105, _u19103))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19099, _u19099)), hAPP(hAPP(c_Product__Type_OPair(_u19099, _u19099), _u19101), _u19103)), c_List_Omeasures(_u19099, _u19107))) )).
% 39.89/40.11 cnf(fact_in__measures_I2_J-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u19100, _u19100)), hAPP(hAPP(c_Product__Type_OPair(_u19100, _u19100), _u19102), _u19104)), c_List_Omeasures(_u19100, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u19100, tc_Nat_Onat)), _u19106), _u19108)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u19106, _u19102)), hAPP(_u19106, _u19104))) )).
% 39.89/40.11 cnf(fact_in__measures_I2_J-4, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u19100, _u19100)), hAPP(hAPP(c_Product__Type_OPair(_u19100, _u19100), _u19102), _u19104)), c_List_Omeasures(_u19100, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u19100, tc_Nat_Onat)), _u19106), _u19108)))) | ( hAPP(_u19106, _u19102) != hAPP(_u19106, _u19104)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19100, _u19100)), hAPP(hAPP(c_Product__Type_OPair(_u19100, _u19100), _u19102), _u19104)), c_List_Omeasures(_u19100, _u19108))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_inj__on__Inter ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_inj__on__Inter-1, axiom, ( ( _u19110 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u19111, tc_HOL_Obool), tc_HOL_Obool))) | c_Fun_Oinj__on(_u19111, _u19112, _u19113, c_Complete__Lattice_OInf__class_OInf(tc_fun(_u19111, tc_HOL_Obool), _u19110)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19111, tc_HOL_Obool)), skolem447(_u19113, _u19112, _u19111, _u19110)), _u19110)) )).
% 39.89/40.11 cnf(fact_inj__on__Inter-2, axiom, ( ( _u19110 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u19111, tc_HOL_Obool), tc_HOL_Obool))) | c_Fun_Oinj__on(_u19111, _u19112, _u19113, c_Complete__Lattice_OInf__class_OInf(tc_fun(_u19111, tc_HOL_Obool), _u19110)) | ~c_Fun_Oinj__on(_u19111, _u19112, _u19113, skolem447(_u19113, _u19112, _u19111, _u19110)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_Inter__subset ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_Inter__subset-1, axiom, ( ( _u19116 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u19115, tc_HOL_Obool), tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u19115, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u19115, tc_HOL_Obool), _u19116)), _u19117)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19115, tc_HOL_Obool)), skolem448(_u19117, _u19116, _u19115)), _u19116)) )).
% 39.89/40.11 cnf(fact_Inter__subset-2, axiom, ( ( _u19116 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u19115, tc_HOL_Obool), tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u19115, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u19115, tc_HOL_Obool), _u19116)), _u19117)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u19115, tc_HOL_Obool)), skolem448(_u19117, _u19116, _u19115)), _u19117)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_foldl__apply ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_foldl__apply-1, axiom, ( ( hAPP(c_List_Ofoldl(_u19121, _u19119, hAPP(c_COMBC(_u19119, _u19121, _u19121), _u19123), hAPP(_u19124, _u19126)), _u19120) = hAPP(_u19124, hAPP(c_List_Ofoldl(_u19122, _u19119, hAPP(c_COMBC(_u19119, _u19122, _u19122), _u19125), _u19126), _u19120))) | hBOOL(hAPP(hAPP(c_member(_u19119), skolem449(_u19126, _u19125, _u19124, _u19123, _u19122, _u19121, _u19120, _u19119)), hAPP(c_List_Oset(_u19119), _u19120))) )).
% 39.89/40.11 cnf(fact_foldl__apply-2, axiom, ( ( hAPP(c_List_Ofoldl(_u19121, _u19119, hAPP(c_COMBC(_u19119, _u19121, _u19121), _u19123), hAPP(_u19124, _u19126)), _u19120) = hAPP(_u19124, hAPP(c_List_Ofoldl(_u19122, _u19119, hAPP(c_COMBC(_u19119, _u19122, _u19122), _u19125), _u19126), _u19120))) | ( hAPP(c_Fun_Ocomp(_u19121, _u19121, _u19122, hAPP(_u19123, skolem449(_u19126, _u19125, _u19124, _u19123, _u19122, _u19121, _u19120, _u19119))), _u19124) != hAPP(c_Fun_Ocomp(_u19122, _u19121, _u19122, _u19124), hAPP(_u19125, skolem449(_u19126, _u19125, _u19124, _u19123, _u19122, _u19121, _u19120, _u19119)))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_inj__on__INTER ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_inj__on__INTER-1, axiom, ( ( _u19128 = c_Orderings_Obot__class_Obot(tc_fun(_u19129, tc_HOL_Obool))) | c_Fun_Oinj__on(_u19130, _u19131, _u19132, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u19129, tc_fun(_u19130, tc_HOL_Obool)), _u19128), _u19133)) | hBOOL(hAPP(hAPP(c_member(_u19129), skolem450(_u19133, _u19132, _u19131, _u19130, _u19129, _u19128)), _u19128)) )).
% 39.89/40.11 cnf(fact_inj__on__INTER-2, axiom, ( ( _u19128 = c_Orderings_Obot__class_Obot(tc_fun(_u19129, tc_HOL_Obool))) | c_Fun_Oinj__on(_u19130, _u19131, _u19132, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u19129, tc_fun(_u19130, tc_HOL_Obool)), _u19128), _u19133)) | ~c_Fun_Oinj__on(_u19130, _u19131, _u19132, hAPP(_u19133, skolem450(_u19133, _u19132, _u19131, _u19130, _u19129, _u19128))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_zip__obtain__same__length ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_zip__obtain__same__length-1, axiom, ( hBOOL(hAPP(_u19138, hAPP(hAPP(c_List_Ozip(_u19134, _u19136), _u19135), _u19137))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19134)), hAPP(hAPP(c_List_Otake(_u19134), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19134)), _u19135)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19136)), _u19137))), _u19135)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19136)), hAPP(hAPP(c_List_Otake(_u19136), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19134)), _u19135)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19136)), _u19137))), _u19137))) )).
% 39.89/40.11 cnf(fact_zip__obtain__same__length-2, axiom, ( hBOOL(hAPP(_u19138, hAPP(hAPP(c_List_Ozip(_u19134, _u19136), _u19135), _u19137))) | ~hBOOL(hAPP(_u19138, hAPP(hAPP(c_List_Ozip(_u19134, _u19136), hAPP(hAPP(c_List_Otake(_u19134), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19134)), _u19135)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19136)), _u19137))), _u19135)), hAPP(hAPP(c_List_Otake(_u19136), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19134)), _u19135)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19136)), _u19137))), _u19137)))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_map__of__eqI ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_map__of__eqI-1, axiom, ( ( hAPP(c_List_Oset(_u19140), hAPP(hAPP(c_List_Omap(tc_prod(_u19140, _u19141), _u19140), c_Product__Type_Ofst(_u19140, _u19141)), _u19142)) != hAPP(c_List_Oset(_u19140), hAPP(hAPP(c_List_Omap(tc_prod(_u19140, _u19141), _u19140), c_Product__Type_Ofst(_u19140, _u19141)), _u19143))) | ( hAPP(c_Map_Omap__of(_u19140, _u19141), _u19142) = hAPP(c_Map_Omap__of(_u19140, _u19141), _u19143)) | hBOOL(hAPP(hAPP(c_member(_u19140), skolem451(_u19143, _u19142, _u19141, _u19140)), hAPP(c_List_Oset(_u19140), hAPP(hAPP(c_List_Omap(tc_prod(_u19140, _u19141), _u19140), c_Product__Type_Ofst(_u19140, _u19141)), _u19142)))) )).
% 39.89/40.11 cnf(fact_map__of__eqI-2, axiom, ( ( hAPP(c_List_Oset(_u19140), hAPP(hAPP(c_List_Omap(tc_prod(_u19140, _u19141), _u19140), c_Product__Type_Ofst(_u19140, _u19141)), _u19142)) != hAPP(c_List_Oset(_u19140), hAPP(hAPP(c_List_Omap(tc_prod(_u19140, _u19141), _u19140), c_Product__Type_Ofst(_u19140, _u19141)), _u19143))) | ( hAPP(c_Map_Omap__of(_u19140, _u19141), _u19142) = hAPP(c_Map_Omap__of(_u19140, _u19141), _u19143)) | ( hAPP(hAPP(c_Map_Omap__of(_u19140, _u19141), _u19142), skolem451(_u19143, _u19142, _u19141, _u19140)) != hAPP(hAPP(c_Map_Omap__of(_u19140, _u19141), _u19143), skolem451(_u19143, _u19142, _u19141, _u19140))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_finite__UN__I ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_finite__UN__I-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19145), _u19146)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u19147), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u19145, tc_fun(_u19147, tc_HOL_Obool)), _u19146), _u19148))) | hBOOL(hAPP(hAPP(c_member(_u19145), skolem452(_u19148, _u19147, _u19146, _u19145)), _u19146)) )).
% 39.89/40.11 cnf(fact_finite__UN__I-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19145), _u19146)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u19147), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u19145, tc_fun(_u19147, tc_HOL_Obool)), _u19146), _u19148))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19147), hAPP(_u19148, skolem452(_u19148, _u19147, _u19146, _u19145)))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_inj__on__diff__nat ( axiom ) converted to clauses:
% 39.89/40.11 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)), _u19151), _u19150) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem453(_u19151, _u19150)), _u19150)) )).
% 39.89/40.11 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)), _u19151), _u19150) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u19151), skolem453(_u19151, _u19150))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_wfP__SUP ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_wfP__SUP-1, axiom, ( ~c_Wellfounded_OwfP(_u19155, hAPP(_u19156, skolem454(_u19157, _u19156, _u19155))) | c_Wellfounded_OwfP(_u19155, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u19157, tc_fun(_u19155, tc_fun(_u19155, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u19157, tc_HOL_Obool))), _u19156)) | ( hAPP(_u19156, skolem455(_u19157, _u19156, _u19155)) != hAPP(_u19156, skolem456(_u19157, _u19156, _u19155))) )).
% 39.89/40.11 cnf(fact_wfP__SUP-2, axiom, ( ~c_Wellfounded_OwfP(_u19155, hAPP(_u19156, skolem454(_u19157, _u19156, _u19155))) | c_Wellfounded_OwfP(_u19155, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u19157, tc_fun(_u19155, tc_fun(_u19155, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u19157, tc_HOL_Obool))), _u19156)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u19155, tc_HOL_Obool)), c_Predicate_ODomainP(_u19155, _u19155, hAPP(_u19156, skolem455(_u19157, _u19156, _u19155)))), c_Predicate_ORangeP(_u19155, _u19155, hAPP(_u19156, skolem456(_u19157, _u19156, _u19155)))) != c_Orderings_Obot__class_Obot(tc_fun(_u19155, tc_HOL_Obool))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_dropWhile__append2 ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_dropWhile__append2-1, axiom, ( ( c_List_OdropWhile(_u19159, _u19161, hAPP(hAPP(c_List_Oappend(_u19159), _u19160), _u19162)) = c_List_OdropWhile(_u19159, _u19161, _u19162)) | hBOOL(hAPP(hAPP(c_member(_u19159), skolem457(_u19162, _u19161, _u19160, _u19159)), hAPP(c_List_Oset(_u19159), _u19160))) )).
% 39.89/40.11 cnf(fact_dropWhile__append2-2, axiom, ( ( c_List_OdropWhile(_u19159, _u19161, hAPP(hAPP(c_List_Oappend(_u19159), _u19160), _u19162)) = c_List_OdropWhile(_u19159, _u19161, _u19162)) | ~hBOOL(hAPP(_u19161, skolem457(_u19162, _u19161, _u19160, _u19159))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_list__all2__all__nthI ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_list__all2__all__nthI-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19164)), _u19165) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19166)), _u19167)) | c_List_Olist__all2(_u19164, _u19166, _u19168, _u19165, _u19167) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem458(_u19168, _u19167, _u19166, _u19165, _u19164)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19164)), _u19165))) )).
% 39.89/40.11 cnf(fact_list__all2__all__nthI-2, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19164)), _u19165) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19166)), _u19167)) | c_List_Olist__all2(_u19164, _u19166, _u19168, _u19165, _u19167) | ~hBOOL(hAPP(hAPP(_u19168, hAPP(hAPP(c_List_Onth(_u19164), _u19165), skolem458(_u19168, _u19167, _u19166, _u19165, _u19164))), hAPP(hAPP(c_List_Onth(_u19166), _u19167), skolem458(_u19168, _u19167, _u19166, _u19165, _u19164)))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_finite__map__freshness ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_finite__map__freshness-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19170), c_Map_Odom(_u19170, _u19171, _u19172))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u19170), c_Orderings_Otop__class_Otop(tc_fun(_u19170, tc_HOL_Obool)))) | ( hAPP(_u19172, skolem459(_u19172, _u19171, _u19170)) = c_Option_Ooption_ONone(_u19171)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_mem__splitI2 ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_mem__splitI2-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u19178), _u19179), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u19176, _u19177, tc_fun(_u19178, tc_HOL_Obool)), _u19180), _u19175))) | ( _u19175 = hAPP(hAPP(c_Product__Type_OPair(_u19176, _u19177), skolem460(_u19180, _u19179, _u19178, _u19177, _u19176, _u19175)), skolem461(_u19180, _u19179, _u19178, _u19177, _u19176, _u19175))) )).
% 39.89/40.11 cnf(fact_mem__splitI2-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u19178), _u19179), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u19176, _u19177, tc_fun(_u19178, tc_HOL_Obool)), _u19180), _u19175))) | ~hBOOL(hAPP(hAPP(c_member(_u19178), _u19179), hAPP(hAPP(_u19180, skolem460(_u19180, _u19179, _u19178, _u19177, _u19176, _u19175)), skolem461(_u19180, _u19179, _u19178, _u19177, _u19176, _u19175)))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_mem__splitE ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_mem__splitE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19183), _u19184), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u19185, _u19186, tc_fun(_u19183, tc_HOL_Obool)), _u19187), _u19188))) | ( _u19188 = hAPP(hAPP(c_Product__Type_OPair(_u19185, _u19186), skolem462(_u19188, _u19187, _u19186, _u19185, _u19184, _u19183)), skolem463(_u19188, _u19187, _u19186, _u19185, _u19184, _u19183))) )).
% 39.89/40.11 cnf(fact_mem__splitE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19183), _u19184), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u19185, _u19186, tc_fun(_u19183, tc_HOL_Obool)), _u19187), _u19188))) | hBOOL(hAPP(hAPP(c_member(_u19183), _u19184), hAPP(hAPP(_u19187, skolem462(_u19188, _u19187, _u19186, _u19185, _u19184, _u19183)), skolem463(_u19188, _u19187, _u19186, _u19185, _u19184, _u19183)))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_finite__sorted__distinct__unique ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_finite__sorted__distinct__unique-1, axiom, ( ~class_Orderings_Olinorder(_u19191) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19191), _u19192)) | ( hAPP(c_List_Oset(_u19191), skolem464(_u19192, _u19191)) = _u19192) )).
% 39.89/40.11 cnf(fact_finite__sorted__distinct__unique-2, axiom, ( ~class_Orderings_Olinorder(_u19191) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19191), _u19192)) | c_List_Olinorder__class_Osorted(_u19191, skolem464(_u19192, _u19191)) )).
% 39.89/40.11 cnf(fact_finite__sorted__distinct__unique-3, axiom, ( ~class_Orderings_Olinorder(_u19191) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19191), _u19192)) | hBOOL(hAPP(c_List_Odistinct(_u19191), skolem464(_u19192, _u19191))) )).
% 39.89/40.11 cnf(fact_finite__sorted__distinct__unique-4, axiom, ( ~class_Orderings_Olinorder(_u19191) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19191), _u19192)) | ( hAPP(c_List_Oset(_u19191), _u19189) != _u19192) | ~c_List_Olinorder__class_Osorted(_u19191, _u19189) | ~hBOOL(hAPP(c_List_Odistinct(_u19191), _u19189)) | ( _u19189 = skolem464(_u19192, _u19191)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_setsum__SucD ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_setsum__SucD-1, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19194, tc_Nat_Onat), _u19195), _u19196) != hAPP(c_Nat_OSuc, _u19197)) | hBOOL(hAPP(hAPP(c_member(_u19194), skolem465(_u19197, _u19196, _u19195, _u19194)), _u19196)) )).
% 39.89/40.11 cnf(fact_setsum__SucD-2, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19194, tc_Nat_Onat), _u19195), _u19196) != hAPP(c_Nat_OSuc, _u19197)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u19195, skolem465(_u19197, _u19196, _u19195, _u19194)))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_nat__mod__eq__lemma ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_nat__mod__eq__lemma-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u19199, _u19200) != c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u19201, _u19200)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u19201), _u19199)) | ( _u19199 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u19201), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u19200), skolem466(_u19201, _u19200, _u19199)))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_takeWhile__append2 ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_takeWhile__append2-1, axiom, ( ( c_List_OtakeWhile(_u19203, _u19205, hAPP(hAPP(c_List_Oappend(_u19203), _u19204), _u19206)) = hAPP(hAPP(c_List_Oappend(_u19203), _u19204), c_List_OtakeWhile(_u19203, _u19205, _u19206))) | hBOOL(hAPP(hAPP(c_member(_u19203), skolem467(_u19206, _u19205, _u19204, _u19203)), hAPP(c_List_Oset(_u19203), _u19204))) )).
% 39.89/40.11 cnf(fact_takeWhile__append2-2, axiom, ( ( c_List_OtakeWhile(_u19203, _u19205, hAPP(hAPP(c_List_Oappend(_u19203), _u19204), _u19206)) = hAPP(hAPP(c_List_Oappend(_u19203), _u19204), c_List_OtakeWhile(_u19203, _u19205, _u19206))) | ~hBOOL(hAPP(_u19205, skolem467(_u19206, _u19205, _u19204, _u19203))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_insort__is__Cons ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_insort__is__Cons-1, axiom, ( ~class_Orderings_Olinorder(_u19208) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u19209, _u19208, _u19211), _u19212), _u19210) = hAPP(hAPP(c_List_Olist_OCons(_u19209), _u19212), _u19210)) | hBOOL(hAPP(hAPP(c_member(_u19209), skolem468(_u19212, _u19211, _u19210, _u19209, _u19208)), hAPP(c_List_Oset(_u19209), _u19210))) )).
% 39.89/40.11 cnf(fact_insort__is__Cons-2, axiom, ( ~class_Orderings_Olinorder(_u19208) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u19209, _u19208, _u19211), _u19212), _u19210) = hAPP(hAPP(c_List_Olist_OCons(_u19209), _u19212), _u19210)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19208), hAPP(_u19211, _u19212)), hAPP(_u19211, skolem468(_u19212, _u19211, _u19210, _u19209, _u19208)))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_wfI__pf ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_wfI__pf-1, axiom, ( c_Wellfounded_Owf(_u19214, _u19215) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u19214, tc_HOL_Obool)), skolem469(_u19215, _u19214)), hAPP(c_Relation_OImage(_u19214, _u19214, _u19215), skolem469(_u19215, _u19214)))) )).
% 39.89/40.11 cnf(fact_wfI__pf-2, axiom, ( c_Wellfounded_Owf(_u19214, _u19215) | ( skolem469(_u19215, _u19214) != c_Orderings_Obot__class_Obot(tc_fun(_u19214, tc_HOL_Obool))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_Cons__eq__filter__iff ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_Cons__eq__filter__iff-1, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u19227), _u19229), _u19231) != hAPP(c_List_Ofilter(_u19227, _u19233), _u19235)) | hBOOL(hAPP(_u19233, _u19229)) )).
% 39.89/40.11 cnf(fact_Cons__eq__filter__iff-2, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u19227), _u19229), _u19231) != hAPP(c_List_Ofilter(_u19227, _u19233), _u19235)) | ~hBOOL(hAPP(hAPP(c_member(_u19227), _u19216), hAPP(c_List_Oset(_u19227), skolem470(_u19235, _u19233, _u19231, _u19229, _u19227)))) | ~hBOOL(hAPP(_u19233, _u19216)) )).
% 39.89/40.11 cnf(fact_Cons__eq__filter__iff-3, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u19227), _u19229), _u19231) != hAPP(c_List_Ofilter(_u19227, _u19233), _u19235)) | ( _u19235 = hAPP(hAPP(c_List_Oappend(_u19227), skolem470(_u19235, _u19233, _u19231, _u19229, _u19227)), hAPP(hAPP(c_List_Olist_OCons(_u19227), _u19229), skolem471(_u19235, _u19233, _u19231, _u19229, _u19227)))) )).
% 39.89/40.11 cnf(fact_Cons__eq__filter__iff-4, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u19227), _u19229), _u19231) != hAPP(c_List_Ofilter(_u19227, _u19233), _u19235)) | ( _u19231 = hAPP(c_List_Ofilter(_u19227, _u19233), skolem471(_u19235, _u19233, _u19231, _u19229, _u19227))) )).
% 39.89/40.11 cnf(fact_Cons__eq__filter__iff-5, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u19228), _u19230), _u19232) = hAPP(c_List_Ofilter(_u19228, _u19234), _u19236)) | ~hBOOL(hAPP(_u19234, _u19230)) | ( _u19236 != hAPP(hAPP(c_List_Oappend(_u19228), _u19221), hAPP(hAPP(c_List_Olist_OCons(_u19228), _u19230), _u19220))) | ( _u19232 != hAPP(c_List_Ofilter(_u19228, _u19234), _u19220)) | hBOOL(hAPP(hAPP(c_member(_u19228), skolem472(_u19236, _u19234, _u19232, _u19230, _u19228, _u19221)), hAPP(c_List_Oset(_u19228), _u19221))) )).
% 39.89/40.11 cnf(fact_Cons__eq__filter__iff-6, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u19228), _u19230), _u19232) = hAPP(c_List_Ofilter(_u19228, _u19234), _u19236)) | ~hBOOL(hAPP(_u19234, _u19230)) | ( _u19236 != hAPP(hAPP(c_List_Oappend(_u19228), _u19221), hAPP(hAPP(c_List_Olist_OCons(_u19228), _u19230), _u19220))) | ( _u19232 != hAPP(c_List_Ofilter(_u19228, _u19234), _u19220)) | hBOOL(hAPP(_u19234, skolem472(_u19236, _u19234, _u19232, _u19230, _u19228, _u19221))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_filter__eq__Cons__iff ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_filter__eq__Cons__iff-1, axiom, ( ( hAPP(c_List_Ofilter(_u19248, _u19250), _u19252) != hAPP(hAPP(c_List_Olist_OCons(_u19248), _u19254), _u19256)) | hBOOL(hAPP(_u19250, _u19254)) )).
% 39.89/40.11 cnf(fact_filter__eq__Cons__iff-2, axiom, ( ( hAPP(c_List_Ofilter(_u19248, _u19250), _u19252) != hAPP(hAPP(c_List_Olist_OCons(_u19248), _u19254), _u19256)) | ~hBOOL(hAPP(hAPP(c_member(_u19248), _u19237), hAPP(c_List_Oset(_u19248), skolem473(_u19256, _u19254, _u19252, _u19250, _u19248)))) | ~hBOOL(hAPP(_u19250, _u19237)) )).
% 39.89/40.11 cnf(fact_filter__eq__Cons__iff-3, axiom, ( ( hAPP(c_List_Ofilter(_u19248, _u19250), _u19252) != hAPP(hAPP(c_List_Olist_OCons(_u19248), _u19254), _u19256)) | ( _u19252 = hAPP(hAPP(c_List_Oappend(_u19248), skolem473(_u19256, _u19254, _u19252, _u19250, _u19248)), hAPP(hAPP(c_List_Olist_OCons(_u19248), _u19254), skolem474(_u19256, _u19254, _u19252, _u19250, _u19248)))) )).
% 39.89/40.11 cnf(fact_filter__eq__Cons__iff-4, axiom, ( ( hAPP(c_List_Ofilter(_u19248, _u19250), _u19252) != hAPP(hAPP(c_List_Olist_OCons(_u19248), _u19254), _u19256)) | ( _u19256 = hAPP(c_List_Ofilter(_u19248, _u19250), skolem474(_u19256, _u19254, _u19252, _u19250, _u19248))) )).
% 39.89/40.11 cnf(fact_filter__eq__Cons__iff-5, axiom, ( ( hAPP(c_List_Ofilter(_u19249, _u19251), _u19253) = hAPP(hAPP(c_List_Olist_OCons(_u19249), _u19255), _u19257)) | ~hBOOL(hAPP(_u19251, _u19255)) | ( _u19253 != hAPP(hAPP(c_List_Oappend(_u19249), _u19242), hAPP(hAPP(c_List_Olist_OCons(_u19249), _u19255), _u19241))) | ( _u19257 != hAPP(c_List_Ofilter(_u19249, _u19251), _u19241)) | hBOOL(hAPP(hAPP(c_member(_u19249), skolem475(_u19257, _u19255, _u19253, _u19251, _u19249, _u19242)), hAPP(c_List_Oset(_u19249), _u19242))) )).
% 39.89/40.11 cnf(fact_filter__eq__Cons__iff-6, axiom, ( ( hAPP(c_List_Ofilter(_u19249, _u19251), _u19253) = hAPP(hAPP(c_List_Olist_OCons(_u19249), _u19255), _u19257)) | ~hBOOL(hAPP(_u19251, _u19255)) | ( _u19253 != hAPP(hAPP(c_List_Oappend(_u19249), _u19242), hAPP(hAPP(c_List_Olist_OCons(_u19249), _u19255), _u19241))) | ( _u19257 != hAPP(c_List_Ofilter(_u19249, _u19251), _u19241)) | hBOOL(hAPP(_u19251, skolem475(_u19257, _u19255, _u19253, _u19251, _u19249, _u19242))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_Sigma__mono ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_Sigma__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u19259, tc_HOL_Obool)), _u19260), _u19261)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u19259, _u19262), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u19259, _u19262), _u19260), _u19263)), hAPP(hAPP(c_Product__Type_OSigma(_u19259, _u19262), _u19261), _u19264))) | hBOOL(hAPP(hAPP(c_member(_u19259), skolem476(_u19264, _u19263, _u19262, _u19261, _u19260, _u19259)), _u19260)) )).
% 39.89/40.11 cnf(fact_Sigma__mono-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u19259, tc_HOL_Obool)), _u19260), _u19261)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u19259, _u19262), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u19259, _u19262), _u19260), _u19263)), hAPP(hAPP(c_Product__Type_OSigma(_u19259, _u19262), _u19261), _u19264))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u19262, tc_HOL_Obool)), hAPP(_u19263, skolem476(_u19264, _u19263, _u19262, _u19261, _u19260, _u19259))), hAPP(_u19264, skolem476(_u19264, _u19263, _u19262, _u19261, _u19260, _u19259)))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_acc_OaccI ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_acc_OaccI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u19266), _u19267), c_Wellfounded_Oacc(_u19266, _u19268))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19266, _u19266)), hAPP(hAPP(c_Product__Type_OPair(_u19266, _u19266), skolem477(_u19268, _u19267, _u19266)), _u19267)), _u19268)) )).
% 39.89/40.11 cnf(fact_acc_OaccI-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u19266), _u19267), c_Wellfounded_Oacc(_u19266, _u19268))) | ~hBOOL(hAPP(hAPP(c_member(_u19266), skolem477(_u19268, _u19267, _u19266)), c_Wellfounded_Oacc(_u19266, _u19268))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_not__acc__down ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_not__acc__down-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u19270), _u19271), c_Wellfounded_Oacc(_u19270, _u19272))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19270, _u19270)), hAPP(hAPP(c_Product__Type_OPair(_u19270, _u19270), skolem478(_u19272, _u19271, _u19270)), _u19271)), _u19272)) )).
% 39.89/40.11 cnf(fact_not__acc__down-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u19270), _u19271), c_Wellfounded_Oacc(_u19270, _u19272))) | ~hBOOL(hAPP(hAPP(c_member(_u19270), skolem478(_u19272, _u19271, _u19270)), c_Wellfounded_Oacc(_u19270, _u19272))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_fold__image__1 ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_fold__image__1-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u19274) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19275), _u19276)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u19274, _u19275, c_Groups_Otimes__class_Otimes(_u19274)), _u19277), c_Groups_Oone__class_Oone(_u19274)), _u19276) = c_Groups_Oone__class_Oone(_u19274)) | hBOOL(hAPP(hAPP(c_member(_u19275), skolem479(_u19277, _u19276, _u19275, _u19274)), _u19276)) )).
% 39.89/40.11 cnf(fact_fold__image__1-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u19274) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19275), _u19276)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u19274, _u19275, c_Groups_Otimes__class_Otimes(_u19274)), _u19277), c_Groups_Oone__class_Oone(_u19274)), _u19276) = c_Groups_Oone__class_Oone(_u19274)) | ( hAPP(_u19277, skolem479(_u19277, _u19276, _u19275, _u19274)) != c_Groups_Oone__class_Oone(_u19274)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_card_Oneutral ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_card_Oneutral-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19279), _u19280)) | ( hAPP(c_Finite__Set_Ocard(_u19279), _u19280) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u19279), skolem480(_u19280, _u19279)), _u19280)) )).
% 39.89/40.11 cnf(fact_card_Oneutral-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19279), _u19280)) | ( hAPP(c_Finite__Set_Ocard(_u19279), _u19280) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_max__ext_Osimps ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_max__ext_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u19289, tc_HOL_Obool), tc_fun(_u19289, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u19289, tc_HOL_Obool), tc_fun(_u19289, tc_HOL_Obool)), _u19291), _u19293)), c_Wellfounded_Omax__ext(_u19289, _u19295))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u19289), _u19291)) )).
% 39.89/40.11 cnf(fact_max__ext_Osimps-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u19289, tc_HOL_Obool), tc_fun(_u19289, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u19289, tc_HOL_Obool), tc_fun(_u19289, tc_HOL_Obool)), _u19291), _u19293)), c_Wellfounded_Omax__ext(_u19289, _u19295))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u19289), _u19293)) )).
% 39.89/40.11 cnf(fact_max__ext_Osimps-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u19289, tc_HOL_Obool), tc_fun(_u19289, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u19289, tc_HOL_Obool), tc_fun(_u19289, tc_HOL_Obool)), _u19291), _u19293)), c_Wellfounded_Omax__ext(_u19289, _u19295))) | ( _u19293 != c_Orderings_Obot__class_Obot(tc_fun(_u19289, tc_HOL_Obool))) )).
% 39.89/40.11 cnf(fact_max__ext_Osimps-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u19289, tc_HOL_Obool), tc_fun(_u19289, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u19289, tc_HOL_Obool), tc_fun(_u19289, tc_HOL_Obool)), _u19291), _u19293)), c_Wellfounded_Omax__ext(_u19289, _u19295))) | ~hBOOL(hAPP(hAPP(c_member(_u19289), _u19282), _u19291)) | hBOOL(hAPP(hAPP(c_member(_u19289), skolem481(_u19295, _u19293, _u19291, _u19289, _u19282)), _u19293)) )).
% 39.89/40.11 cnf(fact_max__ext_Osimps-5, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u19289, tc_HOL_Obool), tc_fun(_u19289, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u19289, tc_HOL_Obool), tc_fun(_u19289, tc_HOL_Obool)), _u19291), _u19293)), c_Wellfounded_Omax__ext(_u19289, _u19295))) | ~hBOOL(hAPP(hAPP(c_member(_u19289), _u19282), _u19291)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19289, _u19289)), hAPP(hAPP(c_Product__Type_OPair(_u19289, _u19289), _u19282), skolem481(_u19295, _u19293, _u19291, _u19289, _u19282))), _u19295)) )).
% 39.89/40.11 cnf(fact_max__ext_Osimps-6, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u19290, tc_HOL_Obool), tc_fun(_u19290, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u19290, tc_HOL_Obool), tc_fun(_u19290, tc_HOL_Obool)), _u19292), _u19294)), c_Wellfounded_Omax__ext(_u19290, _u19296))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19290), _u19292)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19290), _u19294)) | ( _u19294 = c_Orderings_Obot__class_Obot(tc_fun(_u19290, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u19290), skolem482(_u19296, _u19294, _u19292, _u19290)), _u19292)) )).
% 39.89/40.11 cnf(fact_max__ext_Osimps-7, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u19290, tc_HOL_Obool), tc_fun(_u19290, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u19290, tc_HOL_Obool), tc_fun(_u19290, tc_HOL_Obool)), _u19292), _u19294)), c_Wellfounded_Omax__ext(_u19290, _u19296))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19290), _u19292)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19290), _u19294)) | ( _u19294 = c_Orderings_Obot__class_Obot(tc_fun(_u19290, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u19290), _u19283), _u19294)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19290, _u19290)), hAPP(hAPP(c_Product__Type_OPair(_u19290, _u19290), skolem482(_u19296, _u19294, _u19292, _u19290)), _u19283)), _u19296)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_list__ball__nth ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_list__ball__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19298), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19299)), _u19300))) | hBOOL(hAPP(_u19301, hAPP(hAPP(c_List_Onth(_u19299), _u19300), _u19298))) | hBOOL(hAPP(hAPP(c_member(_u19299), skolem483(_u19301, _u19300, _u19299, _u19298)), hAPP(c_List_Oset(_u19299), _u19300))) )).
% 39.89/40.11 cnf(fact_list__ball__nth-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19298), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19299)), _u19300))) | hBOOL(hAPP(_u19301, hAPP(hAPP(c_List_Onth(_u19299), _u19300), _u19298))) | ~hBOOL(hAPP(_u19301, skolem483(_u19301, _u19300, _u19299, _u19298))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_mod__induct__0 ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_mod__induct__0-1, axiom, ( ~hBOOL(hAPP(_u19304, _u19305)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19305), _u19303)) | hBOOL(hAPP(_u19304, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem484(_u19305, _u19304, _u19303)), _u19303)) )).
% 39.89/40.11 cnf(fact_mod__induct__0-2, axiom, ( ~hBOOL(hAPP(_u19304, _u19305)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19305), _u19303)) | hBOOL(hAPP(_u19304, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(_u19304, skolem484(_u19305, _u19304, _u19303))) )).
% 39.89/40.11 cnf(fact_mod__induct__0-3, axiom, ( ~hBOOL(hAPP(_u19304, _u19305)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19305), _u19303)) | hBOOL(hAPP(_u19304, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u19304, c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, skolem484(_u19305, _u19304, _u19303)), _u19303))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_sorted_OCons ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_sorted_OCons-1, axiom, ( ~class_Orderings_Olinorder(_u19307) | ~c_List_Olinorder__class_Osorted(_u19307, _u19308) | c_List_Olinorder__class_Osorted(_u19307, hAPP(hAPP(c_List_Olist_OCons(_u19307), _u19309), _u19308)) | hBOOL(hAPP(hAPP(c_member(_u19307), skolem485(_u19309, _u19308, _u19307)), hAPP(c_List_Oset(_u19307), _u19308))) )).
% 39.89/40.11 cnf(fact_sorted_OCons-2, axiom, ( ~class_Orderings_Olinorder(_u19307) | ~c_List_Olinorder__class_Osorted(_u19307, _u19308) | c_List_Olinorder__class_Osorted(_u19307, hAPP(hAPP(c_List_Olist_OCons(_u19307), _u19309), _u19308)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19307), _u19309), skolem485(_u19309, _u19308, _u19307))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_InterI ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_InterI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u19311), _u19313), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u19311, tc_HOL_Obool), _u19312))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19311, tc_HOL_Obool)), skolem486(_u19313, _u19312, _u19311)), _u19312)) )).
% 39.89/40.11 cnf(fact_InterI-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u19311), _u19313), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u19311, tc_HOL_Obool), _u19312))) | ~hBOOL(hAPP(hAPP(c_member(_u19311), _u19313), skolem486(_u19313, _u19312, _u19311))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_fold__image__cong ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_fold__image__cong-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u19315) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19316), _u19317)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u19315, _u19316, c_Groups_Otimes__class_Otimes(_u19315)), _u19318), _u19320), _u19317) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u19315, _u19316, c_Groups_Otimes__class_Otimes(_u19315)), _u19319), _u19320), _u19317)) | hBOOL(hAPP(hAPP(c_member(_u19316), skolem487(_u19320, _u19319, _u19318, _u19317, _u19316, _u19315)), _u19317)) )).
% 39.89/40.11 cnf(fact_fold__image__cong-2, axiom, ( ~class_Groups_Oab__semigroup__mult(_u19315) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19316), _u19317)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u19315, _u19316, c_Groups_Otimes__class_Otimes(_u19315)), _u19318), _u19320), _u19317) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u19315, _u19316, c_Groups_Otimes__class_Otimes(_u19315)), _u19319), _u19320), _u19317)) | ( hAPP(_u19318, skolem487(_u19320, _u19319, _u19318, _u19317, _u19316, _u19315)) != hAPP(_u19319, skolem487(_u19320, _u19319, _u19318, _u19317, _u19316, _u19315))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_Max__eqI ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_Max__eqI-1, axiom, ( ~class_Orderings_Olinorder(_u19322) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19322), _u19323)) | ~hBOOL(hAPP(hAPP(c_member(_u19322), _u19324), _u19323)) | ( c_Big__Operators_Olinorder__class_OMax(_u19322, _u19323) = _u19324) | hBOOL(hAPP(hAPP(c_member(_u19322), skolem488(_u19324, _u19323, _u19322)), _u19323)) )).
% 39.89/40.11 cnf(fact_Max__eqI-2, axiom, ( ~class_Orderings_Olinorder(_u19322) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19322), _u19323)) | ~hBOOL(hAPP(hAPP(c_member(_u19322), _u19324), _u19323)) | ( c_Big__Operators_Olinorder__class_OMax(_u19322, _u19323) = _u19324) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19322), skolem488(_u19324, _u19323, _u19322)), _u19324)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_Min__eqI ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_Min__eqI-1, axiom, ( ~class_Orderings_Olinorder(_u19326) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19326), _u19327)) | ~hBOOL(hAPP(hAPP(c_member(_u19326), _u19328), _u19327)) | ( c_Big__Operators_Olinorder__class_OMin(_u19326, _u19327) = _u19328) | hBOOL(hAPP(hAPP(c_member(_u19326), skolem489(_u19328, _u19327, _u19326)), _u19327)) )).
% 39.89/40.11 cnf(fact_Min__eqI-2, axiom, ( ~class_Orderings_Olinorder(_u19326) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19326), _u19327)) | ~hBOOL(hAPP(hAPP(c_member(_u19326), _u19328), _u19327)) | ( c_Big__Operators_Olinorder__class_OMin(_u19326, _u19327) = _u19328) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19326), _u19328), skolem489(_u19328, _u19327, _u19326))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_wf__no__infinite__down__chainE ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_wf__no__infinite__down__chainE-1, axiom, ( ~c_Wellfounded_Owf(_u19330, _u19331) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19330, _u19330)), hAPP(hAPP(c_Product__Type_OPair(_u19330, _u19330), hAPP(_u19332, hAPP(c_Nat_OSuc, skolem490(_u19332, _u19331, _u19330)))), hAPP(_u19332, skolem490(_u19332, _u19331, _u19330)))), _u19331)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_list__ex__length ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_list__ex__length-1, axiom, ( ~c_List_Olist__ex(_u19338, _u19340, _u19342) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem491(_u19342, _u19340, _u19338)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19338)), _u19342))) )).
% 39.89/40.11 cnf(fact_list__ex__length-2, axiom, ( ~c_List_Olist__ex(_u19338, _u19340, _u19342) | hBOOL(hAPP(_u19340, hAPP(hAPP(c_List_Onth(_u19338), _u19342), skolem491(_u19342, _u19340, _u19338)))) )).
% 39.89/40.11 cnf(fact_list__ex__length-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19334), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19339)), _u19343))) | ~hBOOL(hAPP(_u19341, hAPP(hAPP(c_List_Onth(_u19339), _u19343), _u19334))) | c_List_Olist__ex(_u19339, _u19341, _u19343) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_scomp__unfold ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_scomp__unfold-1, axiom, ( ( hAPP(hAPP(hAPP(c_Product__Type_Oscomp(_u19344, _u19345, _u19346, _u19347), _u19348), _u19349), _u19350) = hAPP(hAPP(_u19349, hAPP(c_Product__Type_Ofst(_u19345, _u19346), hAPP(_u19348, _u19350))), hAPP(c_Product__Type_Osnd(_u19345, _u19346), hAPP(_u19348, _u19350)))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_list__ex__simps_I1_J ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_list__ex__simps_I1_J-1, axiom, ( ~c_List_Olist__ex(_u19355, _u19357, hAPP(hAPP(c_List_Olist_OCons(_u19355), _u19359), _u19361)) | hBOOL(hAPP(_u19357, _u19359)) | c_List_Olist__ex(_u19355, _u19357, _u19361) )).
% 39.89/40.11 cnf(fact_list__ex__simps_I1_J-2, axiom, ( c_List_Olist__ex(_u19356, _u19358, hAPP(hAPP(c_List_Olist_OCons(_u19356), _u19360), _u19362)) | ~hBOOL(hAPP(_u19358, _u19360)) )).
% 39.89/40.11 cnf(fact_list__ex__simps_I1_J-3, axiom, ( c_List_Olist__ex(_u19356, _u19358, hAPP(hAPP(c_List_Olist_OCons(_u19356), _u19360), _u19362)) | ~c_List_Olist__ex(_u19356, _u19358, _u19362) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_list__ex__append ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_list__ex__append-1, axiom, ( ~c_List_Olist__ex(_u19367, _u19369, hAPP(hAPP(c_List_Oappend(_u19367), _u19371), _u19373)) | c_List_Olist__ex(_u19367, _u19369, _u19371) | c_List_Olist__ex(_u19367, _u19369, _u19373) )).
% 39.89/40.11 cnf(fact_list__ex__append-2, axiom, ( c_List_Olist__ex(_u19368, _u19370, hAPP(hAPP(c_List_Oappend(_u19368), _u19372), _u19374)) | ~c_List_Olist__ex(_u19368, _u19370, _u19372) )).
% 39.89/40.11 cnf(fact_list__ex__append-3, axiom, ( c_List_Olist__ex(_u19368, _u19370, hAPP(hAPP(c_List_Oappend(_u19368), _u19372), _u19374)) | ~c_List_Olist__ex(_u19368, _u19370, _u19374) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_scomp__scomp ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_scomp__scomp-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oscomp(_u19375, _u19376, _u19377, _u19378), hAPP(hAPP(c_Product__Type_Oscomp(_u19375, _u19379, _u19380, tc_prod(_u19376, _u19377)), _u19381), _u19382)), _u19383) = hAPP(hAPP(c_Product__Type_Oscomp(_u19375, _u19379, _u19380, _u19378), _u19381), hAPP(hAPP(c_COMBC(_u19379, tc_fun(_u19376, tc_fun(_u19377, _u19378)), tc_fun(_u19380, _u19378)), hAPP(hAPP(c_COMBB(tc_fun(_u19380, tc_prod(_u19376, _u19377)), tc_fun(tc_fun(_u19376, tc_fun(_u19377, _u19378)), tc_fun(_u19380, _u19378)), _u19379), c_Product__Type_Oscomp(_u19380, _u19376, _u19377, _u19378)), _u19382)), _u19383))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_scomp__Pair ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_scomp__Pair-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oscomp(_u19384, _u19385, _u19386, tc_prod(_u19385, _u19386)), _u19387), c_Product__Type_OPair(_u19385, _u19386)) = _u19387) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_Pair__scomp ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_Pair__scomp-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oscomp(_u19388, _u19389, _u19388, _u19390), hAPP(c_Product__Type_OPair(_u19389, _u19388), _u19391)), _u19392) = hAPP(_u19392, _u19391)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_list__ex__iff ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_list__ex__iff-1, axiom, ( ~c_List_Olist__ex(_u19398, _u19400, _u19402) | hBOOL(hAPP(hAPP(c_member(_u19398), skolem492(_u19402, _u19400, _u19398)), hAPP(c_List_Oset(_u19398), _u19402))) )).
% 39.89/40.11 cnf(fact_list__ex__iff-2, axiom, ( ~c_List_Olist__ex(_u19398, _u19400, _u19402) | hBOOL(hAPP(_u19400, skolem492(_u19402, _u19400, _u19398))) )).
% 39.89/40.11 cnf(fact_list__ex__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19399), _u19394), hAPP(c_List_Oset(_u19399), _u19403))) | ~hBOOL(hAPP(_u19401, _u19394)) | c_List_Olist__ex(_u19399, _u19401, _u19403) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_scomp__apply ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_scomp__apply-1, axiom, ( ( hAPP(hAPP(hAPP(c_Product__Type_Oscomp(_u19404, _u19405, _u19406, _u19407), _u19408), _u19409), _u19410) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u19405, _u19406, _u19407), _u19409), hAPP(_u19408, _u19410))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_scomp__def ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_scomp__def-1, axiom, ( ( hAPP(hAPP(hAPP(c_Product__Type_Oscomp(_u19411, _u19412, _u19413, _u19414), _u19415), _u19416), _u19417) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u19412, _u19413, _u19414), _u19416), hAPP(_u19415, _u19417))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_list__ex__rev ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_list__ex__rev-1, axiom, ( ~c_List_Olist__ex(_u19421, _u19423, hAPP(c_List_Orev(_u19421), _u19425)) | c_List_Olist__ex(_u19421, _u19423, _u19425) )).
% 39.89/40.11 cnf(fact_list__ex__rev-2, axiom, ( ~c_List_Olist__ex(_u19422, _u19424, _u19426) | c_List_Olist__ex(_u19422, _u19424, hAPP(c_List_Orev(_u19422), _u19426)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_list__ex__simps_I2_J ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_list__ex__simps_I2_J-1, axiom, ( ~c_List_Olist__ex(_u19427, _u19428, c_List_Olist_ONil(_u19427)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_iterate_Osimps ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_iterate_Osimps-1, axiom, ( ( _u19434 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_Random_Oiterate(_u19436, _u19438, _u19434, _u19440), _u19442) = hAPP(c_Product__Type_OPair(_u19436, _u19438), _u19442)) )).
% 39.89/40.11 cnf(fact_iterate_Osimps-2, axiom, ( ( _u19435 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_Random_Oiterate(_u19437, _u19439, _u19435, _u19441), _u19443) = hAPP(hAPP(c_Product__Type_Oscomp(_u19439, _u19437, _u19439, tc_prod(_u19437, _u19439)), hAPP(_u19441, _u19443)), c_Random_Oiterate(_u19437, _u19439, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u19435), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)), _u19441))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_setsum__ivl__cong ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_setsum__ivl__cong-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u19445) | ~class_Orderings_Oord(_u19446) | ( _u19447 != _u19448) | ( _u19449 != _u19450) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19446, _u19445), _u19451), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u19446, _u19447), _u19449)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19446, _u19445), _u19452), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u19446, _u19448), _u19450))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19446), _u19448), skolem493(_u19452, _u19451, _u19450, _u19449, _u19448, _u19447, _u19446, _u19445))) )).
% 39.89/40.11 cnf(fact_setsum__ivl__cong-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u19445) | ~class_Orderings_Oord(_u19446) | ( _u19447 != _u19448) | ( _u19449 != _u19450) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19446, _u19445), _u19451), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u19446, _u19447), _u19449)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19446, _u19445), _u19452), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u19446, _u19448), _u19450))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u19446), skolem493(_u19452, _u19451, _u19450, _u19449, _u19448, _u19447, _u19446, _u19445)), _u19450)) )).
% 39.89/40.11 cnf(fact_setsum__ivl__cong-3, axiom, ( ~class_Groups_Ocomm__monoid__add(_u19445) | ~class_Orderings_Oord(_u19446) | ( _u19447 != _u19448) | ( _u19449 != _u19450) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19446, _u19445), _u19451), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u19446, _u19447), _u19449)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19446, _u19445), _u19452), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u19446, _u19448), _u19450))) | ( hAPP(_u19451, skolem493(_u19452, _u19451, _u19450, _u19449, _u19448, _u19447, _u19446, _u19445)) != hAPP(_u19452, skolem493(_u19452, _u19451, _u19450, _u19449, _u19448, _u19447, _u19446, _u19445))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_log_Osimps ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_log_Osimps-1, axiom, ( ( c_Random_Olog(_u19455, _u19457) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u19455), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))) )).
% 39.89/40.11 cnf(fact_log_Osimps-2, axiom, ( ( c_Random_Olog(_u19455, _u19457) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u19457), _u19455)) )).
% 39.89/40.11 cnf(fact_log_Osimps-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u19456), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u19458), _u19456)) | ( c_Random_Olog(_u19456, _u19458) = 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(_u19456, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral), _u19458), _u19456)))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_minus__shift__def ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_minus__shift__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u19462), _u19464)) | ( c_Random_Ominus__shift(_u19466, _u19462, _u19464) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral), _u19466), _u19462)), _u19464)) )).
% 39.89/40.11 cnf(fact_minus__shift__def-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u19463), _u19465)) | ( c_Random_Ominus__shift(_u19467, _u19463, _u19465) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u19463), _u19465)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_inc__shift__def ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_inc__shift__def-1, axiom, ( ( _u19470 != _u19472) | ( c_Random_Oinc__shift(_u19470, _u19472) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) )).
% 39.89/40.11 cnf(fact_inc__shift__def-2, axiom, ( ( _u19471 = _u19473) | ( c_Random_Oinc__shift(_u19471, _u19473) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral), _u19473), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_select ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_select-1, axiom, ( ( _u19474 = c_List_Olist_ONil(_u19475)) | hBOOL(hAPP(hAPP(c_member(_u19475), hAPP(c_Product__Type_Ofst(_u19475, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), hAPP(c_Random_Oselect(_u19475, _u19474), _u19476))), hAPP(c_List_Oset(_u19475), _u19474))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_select__weight__member ( axiom ) converted to clauses:
% 39.89/40.11 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, _u19477), tc_Code__Numeral_Ocode__numeral), c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u19477)), _u19478)))) | hBOOL(hAPP(hAPP(c_member(_u19477), hAPP(c_Product__Type_Ofst(_u19477, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), hAPP(c_Random_Oselect__weight(_u19477, _u19478), _u19479))), hAPP(c_List_Oset(_u19477), hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral, _u19477), _u19477), c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral, _u19477)), _u19478)))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_select__weigth__select ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_select__weigth__select-1, axiom, ( ( _u19480 = c_List_Olist_ONil(_u19481)) | ( c_Random_Oselect__weight(_u19481, hAPP(hAPP(c_List_Omap(_u19481, tc_prod(tc_Code__Numeral_Ocode__numeral, _u19481)), hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral, _u19481), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))), _u19480)) = c_Random_Oselect(_u19481, _u19480)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_select__weight__cons__zero ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_select__weight__cons__zero-1, axiom, ( ( c_Random_Oselect__weight(_u19482, hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral, _u19482)), hAPP(hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral, _u19482), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)), _u19483)), _u19484)) = c_Random_Oselect__weight(_u19482, _u19484)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_select__weigth__drop__zero ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_select__weigth__drop__zero-1, axiom, ( ( c_Random_Oselect__weight(_u19485, hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral, _u19485), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral, _u19485, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u19485, tc_HOL_Obool), tc_Code__Numeral_Ocode__numeral), c_COMBK(tc_HOL_Obool, _u19485)), hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))))), _u19486)) = c_Random_Oselect__weight(_u19485, _u19486)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_pick__member ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_pick__member-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u19487), hAPP(c_List_Omonoid__add__class_Olistsum(tc_Code__Numeral_Ocode__numeral), hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral, _u19488), tc_Code__Numeral_Ocode__numeral), c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u19488)), _u19489)))) | hBOOL(hAPP(hAPP(c_member(_u19488), hAPP(c_Random_Opick(_u19488, _u19489), _u19487)), hAPP(c_List_Oset(_u19488), hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral, _u19488), _u19488), c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral, _u19488)), _u19489)))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_pick_Osimps ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_pick_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u19494), hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u19496), _u19498))) | ( hAPP(c_Random_Opick(_u19496, hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral, _u19496)), _u19498), _u19500)), _u19494) = hAPP(c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral, _u19496), _u19498)) )).
% 39.89/40.11 cnf(fact_pick_Osimps-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u19495), hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u19497), _u19499))) | ( hAPP(c_Random_Opick(_u19497, hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral, _u19497)), _u19499), _u19501)), _u19495) = hAPP(c_Random_Opick(_u19497, _u19501), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u19495), hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u19497), _u19499)))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_pick__drop__zero ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_pick__drop__zero-1, axiom, ( ( c_Random_Opick(_u19502, hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral, _u19502), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral, _u19502, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u19502, tc_HOL_Obool), tc_Code__Numeral_Ocode__numeral), c_COMBK(tc_HOL_Obool, _u19502)), hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))))), _u19503)) = c_Random_Opick(_u19502, _u19503)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_select__weight__def ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_select__weight__def-1, axiom, ( ( c_Random_Oselect__weight(_u19504, _u19505) = 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(_u19504, 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, _u19504), tc_Code__Numeral_Ocode__numeral), c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u19504)), _u19505)))), hAPP(hAPP(c_COMBB(_u19504, tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(_u19504, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), tc_Code__Numeral_Ocode__numeral), c_Product__Type_OPair(_u19504, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), c_Random_Opick(_u19504, _u19505)))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_pick__same ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_pick__same-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19506), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19507)), _u19508))) | ( hAPP(c_Random_Opick(_u19507, hAPP(hAPP(c_List_Omap(_u19507, tc_prod(tc_Code__Numeral_Ocode__numeral, _u19507)), hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral, _u19507), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))), _u19508)), hAPP(c_Code__Numeral_Oof__nat, _u19506)) = hAPP(hAPP(c_List_Onth(_u19507), _u19508), _u19506)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_number__of__code__numeral__def ( axiom ) converted to clauses:
% 39.89/40.11 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)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_code__numeral_Oof__nat__inject ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_code__numeral_Oof__nat__inject-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u19509), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u19510), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( hAPP(c_Code__Numeral_Oof__nat, _u19509) != hAPP(c_Code__Numeral_Oof__nat, _u19510)) | ( _u19509 = _u19510) )).
% 39.89/40.11 cnf(fact_code__numeral_Oof__nat__inject-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u19509), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u19510), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( _u19509 != _u19510) | ( hAPP(c_Code__Numeral_Oof__nat, _u19509) = hAPP(c_Code__Numeral_Oof__nat, _u19510)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_Code__Numeral_Oof__nat__inject ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_Code__Numeral_Oof__nat__inject-1, axiom, ( ( hAPP(c_Code__Numeral_Oof__nat, _u19513) != hAPP(c_Code__Numeral_Oof__nat, _u19515)) | ( _u19513 = _u19515) )).
% 39.89/40.11 cnf(fact_Code__Numeral_Oof__nat__inject-2, axiom, ( ( _u19514 != _u19516) | ( hAPP(c_Code__Numeral_Oof__nat, _u19514) = hAPP(c_Code__Numeral_Oof__nat, _u19516)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_times__code__numeral__code ( axiom ) converted to clauses:
% 39.89/40.11 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, _u19517)), hAPP(c_Code__Numeral_Oof__nat, _u19518)) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u19517), _u19518))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_Code__Numeral_Oof__nat__code ( axiom ) converted to clauses:
% 39.89/40.11 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)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_zero__code__numeral__def ( axiom ) converted to clauses:
% 39.89/40.11 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))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_one__code__numeral__def ( axiom ) converted to clauses:
% 39.89/40.11 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))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_less__eq__code__numeral__code ( axiom ) converted to clauses:
% 39.89/40.11 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, _u19521)), hAPP(c_Code__Numeral_Oof__nat, _u19523))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u19521), _u19523)) )).
% 39.89/40.11 cnf(fact_less__eq__code__numeral__code-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u19522), _u19524)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u19522)), hAPP(c_Code__Numeral_Oof__nat, _u19524))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_plus__code__numeral__code ( axiom ) converted to clauses:
% 39.89/40.11 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, _u19525)), hAPP(c_Code__Numeral_Oof__nat, _u19526)) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u19525), _u19526))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_less__code__numeral__code ( axiom ) converted to clauses:
% 39.89/40.11 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, _u19529)), hAPP(c_Code__Numeral_Oof__nat, _u19531))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19529), _u19531)) )).
% 39.89/40.11 cnf(fact_less__code__numeral__code-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19530), _u19532)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u19530)), hAPP(c_Code__Numeral_Oof__nat, _u19532))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_code__numeral__not__eq__zero ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_code__numeral__not__eq__zero-1, axiom, ( ( _u19534 = 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)), _u19534)) )).
% 39.89/40.11 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)), _u19535)) | ( _u19535 != hAPP(c_Code__Numeral_Oof__nat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_range ( axiom ) converted to clauses:
% 39.89/40.11 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)), _u19536)) | 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(_u19536), _u19537))), _u19536)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_select__def ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_select__def-1, axiom, ( ( c_Random_Oselect(_u19538, _u19539) = 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(_u19538, 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(_u19538)), _u19539)))), hAPP(hAPP(c_COMBB(_u19538, tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(_u19538, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), tc_Code__Numeral_Ocode__numeral), c_Product__Type_OPair(_u19538, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u19538, tc_Code__Numeral_Ocode__numeral), hAPP(c_List_Onth(_u19538), _u19539)), c_Code__Numeral_Onat__of)))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_subtract__code__numeral__code ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_subtract__code__numeral__code-1, axiom, ( ( hAPP(hAPP(c_Code__Numeral_Osubtract__code__numeral, hAPP(c_Code__Numeral_Oof__nat, _u19540)), hAPP(c_Code__Numeral_Oof__nat, _u19541)) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u19540), _u19541))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_type__definition__code__numeral ( axiom ) converted to clauses:
% 39.89/40.11 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))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_nat__of__of__nat ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_nat__of__of__nat-1, axiom, ( ( hAPP(c_Code__Numeral_Onat__of, hAPP(c_Code__Numeral_Oof__nat, _u19542)) = _u19542) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_of__nat__nat__of ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_of__nat__nat__of-1, axiom, ( ( hAPP(c_Code__Numeral_Oof__nat, hAPP(c_Code__Numeral_Onat__of, _u19543)) = _u19543) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_nat__of__inverse ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_nat__of__inverse-1, axiom, ( ( hAPP(c_Code__Numeral_Oof__nat, hAPP(c_Code__Numeral_Onat__of, _u19544)) = _u19544) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_times__code__numeral__def ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_times__code__numeral__def-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Code__Numeral_Ocode__numeral), _u19545), _u19546) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u19545)), hAPP(c_Code__Numeral_Onat__of, _u19546)))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_less__code__numeral__def ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_less__code__numeral__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u19549), _u19551)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u19549)), hAPP(c_Code__Numeral_Onat__of, _u19551))) )).
% 39.89/40.11 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, _u19550)), hAPP(c_Code__Numeral_Onat__of, _u19552))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u19550), _u19552)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_code__numeral_Onat__of__inject ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_code__numeral_Onat__of__inject-1, axiom, ( ( hAPP(c_Code__Numeral_Onat__of, _u19555) != hAPP(c_Code__Numeral_Onat__of, _u19557)) | ( _u19555 = _u19557) )).
% 39.89/40.11 cnf(fact_code__numeral_Onat__of__inject-2, axiom, ( ( _u19556 != _u19558) | ( hAPP(c_Code__Numeral_Onat__of, _u19556) = hAPP(c_Code__Numeral_Onat__of, _u19558)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_Code__Numeral_Onat__of__inject ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_Code__Numeral_Onat__of__inject-1, axiom, ( ( hAPP(c_Code__Numeral_Onat__of, _u19561) != hAPP(c_Code__Numeral_Onat__of, _u19563)) | ( _u19561 = _u19563) )).
% 39.89/40.11 cnf(fact_Code__Numeral_Onat__of__inject-2, axiom, ( ( _u19562 != _u19564) | ( hAPP(c_Code__Numeral_Onat__of, _u19562) = hAPP(c_Code__Numeral_Onat__of, _u19564)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_nat__of ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_nat__of-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u19565)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_nat__of__number ( axiom ) converted to clauses:
% 39.89/40.11 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), _u19566)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u19566)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_int__of__def ( axiom ) converted to clauses:
% 39.89/40.11 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)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_less__eq__code__numeral__def ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_less__eq__code__numeral__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u19569), _u19571)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u19569)), hAPP(c_Code__Numeral_Onat__of, _u19571))) )).
% 39.89/40.11 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, _u19570)), hAPP(c_Code__Numeral_Onat__of, _u19572))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u19570), _u19572)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_nat__of__code ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_nat__of__code-1, axiom, ( ( hAPP(c_Code__Numeral_Onat__of, _u19573) = c_Code__Numeral_Onat__of__aux(_u19573, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_nat__of__aux__def ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_nat__of__aux__def-1, axiom, ( ( c_Code__Numeral_Onat__of__aux(_u19574, _u19575) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u19574)), _u19575)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_Suc__code__numeral__def ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_Suc__code__numeral__def-1, axiom, ( ( c_Code__Numeral_OSuc__code__numeral(_u19576) = hAPP(c_Code__Numeral_Oof__nat, hAPP(c_Nat_OSuc, hAPP(c_Code__Numeral_Onat__of, _u19576)))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_minus__code__numeral__def ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_minus__code__numeral__def-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u19577), _u19578) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u19577)), hAPP(c_Code__Numeral_Onat__of, _u19578)))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_of__nat__inverse ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_of__nat__inverse-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u19579), 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, _u19579)) = _u19579) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_plus__code__numeral__def ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_plus__code__numeral__def-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral), _u19580), _u19581) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u19580)), hAPP(c_Code__Numeral_Onat__of, _u19581)))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_div__code__numeral__def ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_div__code__numeral__def-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral), _u19582), _u19583) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u19582)), hAPP(c_Code__Numeral_Onat__of, _u19583)))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_subtract__code__numeral__def ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_subtract__code__numeral__def-1, axiom, ( ( c_Code__Numeral_Osubtract__code__numeral = c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_minus__code__numeral__code ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_minus__code__numeral__code-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u19584), _u19585) = hAPP(hAPP(c_Code__Numeral_Osubtract__code__numeral, _u19584), _u19585)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_mod__code__numeral__def ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_mod__code__numeral__def-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u19586, _u19587) = hAPP(c_Code__Numeral_Oof__nat, c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Code__Numeral_Onat__of, _u19586), hAPP(c_Code__Numeral_Onat__of, _u19587)))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_code__numeral__decr ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_code__numeral__decr-1, axiom, ( ( _u19588 = 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, _u19588)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), hAPP(c_Code__Numeral_Onat__of, _u19588))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_New__DSequence_Opos__not__seq__def ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_New__DSequence_Opos__not__seq__def-1, axiom, ( ( hAPP(c_New__DSequence_Opos__not__seq(_u19589), _u19590) = c_Lazy__Sequence_Ohb__not__seq(hAPP(_u19589, 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)))), _u19590)))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_less__eq ( axiom ) converted to clauses:
% 39.89/40.11 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), _u19593), _u19595)), c_Transitive__Closure_Otrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19593), _u19595)) )).
% 39.89/40.11 cnf(fact_less__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19594), _u19596)) | 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), _u19594), _u19596)), c_Transitive__Closure_Otrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_wf__trancl ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_wf__trancl-1, axiom, ( ~c_Wellfounded_Owf(_u19597, _u19598) | c_Wellfounded_Owf(_u19597, c_Transitive__Closure_Otrancl(_u19597, _u19598)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_less__than__def ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_less__than__def-1, axiom, ( ( c_Wellfounded_Oless__than = c_Transitive__Closure_Otrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_acyclic__def ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_acyclic__def-1, axiom, ( ~c_Wellfounded_Oacyclic(_u19603, _u19605) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19603, _u19603)), hAPP(hAPP(c_Product__Type_OPair(_u19603, _u19603), _u19599), _u19599)), c_Transitive__Closure_Otrancl(_u19603, _u19605))) )).
% 39.89/40.11 cnf(fact_acyclic__def-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u19604, _u19604)), hAPP(hAPP(c_Product__Type_OPair(_u19604, _u19604), skolem494(_u19606, _u19604)), skolem494(_u19606, _u19604))), c_Transitive__Closure_Otrancl(_u19604, _u19606))) | c_Wellfounded_Oacyclic(_u19604, _u19606) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_trancl_Or__into__trancl ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_trancl_Or__into__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19607, _u19607)), hAPP(hAPP(c_Product__Type_OPair(_u19607, _u19607), _u19608), _u19609)), _u19610)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19607, _u19607)), hAPP(hAPP(c_Product__Type_OPair(_u19607, _u19607), _u19608), _u19609)), c_Transitive__Closure_Otrancl(_u19607, _u19610))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_trancl__subset__Field2 ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_trancl__subset__Field2-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u19611, _u19611), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u19611, _u19612)), hAPP(hAPP(c_Product__Type_OSigma(_u19611, _u19611), hAPP(c_Relation_OField(_u19611), _u19612)), hAPP(c_COMBK(tc_fun(_u19611, tc_HOL_Obool), _u19611), hAPP(c_Relation_OField(_u19611), _u19612))))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_r__into__trancl_H ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_r__into__trancl_H-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19613, _u19613)), _u19614), _u19615)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19613, _u19613)), _u19614), c_Transitive__Closure_Otrancl(_u19613, _u19615))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_trancl__empty ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_trancl__empty-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u19616, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u19616, _u19616), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u19616, _u19616), tc_HOL_Obool))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_trancl__domain ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_trancl__domain-1, axiom, ( ( hAPP(c_Relation_ODomain(_u19617, _u19617), c_Transitive__Closure_Otrancl(_u19617, _u19618)) = hAPP(c_Relation_ODomain(_u19617, _u19617), _u19618)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_trancl__range ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_trancl__range-1, axiom, ( ( hAPP(c_Relation_ORange(_u19619, _u19619), c_Transitive__Closure_Otrancl(_u19619, _u19620)) = hAPP(c_Relation_ORange(_u19619, _u19619), _u19620)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_finite__trancl ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_finite__trancl-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u19623, _u19623)), c_Transitive__Closure_Otrancl(_u19623, _u19625))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u19623, _u19623)), _u19625)) )).
% 39.89/40.11 cnf(fact_finite__trancl-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u19624, _u19624)), _u19626)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u19624, _u19624)), c_Transitive__Closure_Otrancl(_u19624, _u19626))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_trancl__trans ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_trancl__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19627, _u19627)), hAPP(hAPP(c_Product__Type_OPair(_u19627, _u19627), _u19628), _u19629)), c_Transitive__Closure_Otrancl(_u19627, _u19630))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19627, _u19627)), hAPP(hAPP(c_Product__Type_OPair(_u19627, _u19627), _u19629), _u19631)), c_Transitive__Closure_Otrancl(_u19627, _u19630))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19627, _u19627)), hAPP(hAPP(c_Product__Type_OPair(_u19627, _u19627), _u19628), _u19631)), c_Transitive__Closure_Otrancl(_u19627, _u19630))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_Transitive__Closure_Otrancl__into__trancl ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_Transitive__Closure_Otrancl__into__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19632, _u19632)), hAPP(hAPP(c_Product__Type_OPair(_u19632, _u19632), _u19633), _u19634)), c_Transitive__Closure_Otrancl(_u19632, _u19635))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19632, _u19632)), hAPP(hAPP(c_Product__Type_OPair(_u19632, _u19632), _u19634), _u19636)), _u19635)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19632, _u19632)), hAPP(hAPP(c_Product__Type_OPair(_u19632, _u19632), _u19633), _u19636)), c_Transitive__Closure_Otrancl(_u19632, _u19635))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_trancl__into__trancl2 ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_trancl__into__trancl2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19637, _u19637)), hAPP(hAPP(c_Product__Type_OPair(_u19637, _u19637), _u19638), _u19639)), _u19640)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19637, _u19637)), hAPP(hAPP(c_Product__Type_OPair(_u19637, _u19637), _u19639), _u19641)), c_Transitive__Closure_Otrancl(_u19637, _u19640))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19637, _u19637)), hAPP(hAPP(c_Product__Type_OPair(_u19637, _u19637), _u19638), _u19641)), c_Transitive__Closure_Otrancl(_u19637, _u19640))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_r__r__into__trancl ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_r__r__into__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19642, _u19642)), hAPP(hAPP(c_Product__Type_OPair(_u19642, _u19642), _u19643), _u19644)), _u19645)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19642, _u19642)), hAPP(hAPP(c_Product__Type_OPair(_u19642, _u19642), _u19644), _u19646)), _u19645)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19642, _u19642)), hAPP(hAPP(c_Product__Type_OPair(_u19642, _u19642), _u19643), _u19646)), c_Transitive__Closure_Otrancl(_u19642, _u19645))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_trancl__mono ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_trancl__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19647, _u19647)), _u19648), c_Transitive__Closure_Otrancl(_u19647, _u19649))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u19647, _u19647), tc_HOL_Obool)), _u19649), _u19650)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19647, _u19647)), _u19648), c_Transitive__Closure_Otrancl(_u19647, _u19650))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_trancl__unfold ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_trancl__unfold-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u19651, _u19652) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u19651, _u19651), tc_HOL_Obool)), _u19652), hAPP(hAPP(c_Relation_Orel__comp(_u19651, _u19651, _u19651), c_Transitive__Closure_Otrancl(_u19651, _u19652)), _u19652))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_trancl__subset__Sigma ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_trancl__subset__Sigma-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u19653, _u19653), tc_HOL_Obool)), _u19654), hAPP(hAPP(c_Product__Type_OSigma(_u19653, _u19653), _u19655), hAPP(c_COMBK(tc_fun(_u19653, tc_HOL_Obool), _u19653), _u19655)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u19653, _u19653), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u19653, _u19654)), hAPP(hAPP(c_Product__Type_OSigma(_u19653, _u19653), _u19655), hAPP(c_COMBK(tc_fun(_u19653, tc_HOL_Obool), _u19653), _u19655)))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_trancl__Int__subset ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_trancl__Int__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u19656, _u19656), tc_HOL_Obool)), _u19657), _u19658)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u19656, _u19656), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u19656, _u19656, _u19656), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u19656, _u19656), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u19656, _u19657)), _u19658)), _u19657)), _u19658)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u19656, _u19656), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u19656, _u19657)), _u19658)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_trancl__insert ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_trancl__insert-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u19659, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u19659, _u19659)), hAPP(hAPP(c_Product__Type_OPair(_u19659, _u19659), _u19660), _u19661)), _u19662)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u19659, _u19659), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u19659, _u19662)), hAPP(c_Set_OCollect(tc_prod(_u19659, _u19659)), hAPP(c_Product__Type_Oprod_Oprod__case(_u19659, _u19659, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u19659, tc_fun(_u19659, tc_HOL_Obool), tc_fun(_u19659, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u19659, tc_HOL_Obool), tc_fun(_u19659, tc_HOL_Obool)), _u19659), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u19659)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19659), c_fconj), hAPP(hAPP(c_COMBC(_u19659, tc_fun(tc_prod(_u19659, _u19659), tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_prod(_u19659, _u19659), tc_fun(tc_fun(tc_prod(_u19659, _u19659), tc_HOL_Obool), tc_HOL_Obool), _u19659), c_member(tc_prod(_u19659, _u19659))), hAPP(hAPP(c_COMBC(_u19659, _u19659, tc_prod(_u19659, _u19659)), c_Product__Type_OPair(_u19659, _u19659)), _u19660))), c_Transitive__Closure_Ortrancl(_u19659, _u19662))))), hAPP(hAPP(c_COMBC(_u19659, tc_fun(tc_prod(_u19659, _u19659), tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_prod(_u19659, _u19659), tc_fun(tc_fun(tc_prod(_u19659, _u19659), tc_HOL_Obool), tc_HOL_Obool), _u19659), c_member(tc_prod(_u19659, _u19659))), hAPP(c_Product__Type_OPair(_u19659, _u19659), _u19661))), c_Transitive__Closure_Ortrancl(_u19659, _u19662))))))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_reflcl__set__eq ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_reflcl__set__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u19667, tc_fun(_u19667, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u19667, tc_fun(tc_prod(_u19667, _u19667), tc_HOL_Obool), tc_fun(_u19667, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19667, tc_fun(tc_fun(tc_prod(_u19667, _u19667), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u19667, _u19667), tc_HOL_Obool), tc_fun(_u19667, tc_HOL_Obool)), _u19667), c_COMBC(_u19667, tc_fun(tc_prod(_u19667, _u19667), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19667, tc_prod(_u19667, _u19667)), tc_fun(_u19667, tc_fun(tc_fun(tc_prod(_u19667, _u19667), tc_HOL_Obool), tc_HOL_Obool)), _u19667), hAPP(c_COMBB(tc_prod(_u19667, _u19667), tc_fun(tc_fun(tc_prod(_u19667, _u19667), tc_HOL_Obool), tc_HOL_Obool), _u19667), c_member(tc_prod(_u19667, _u19667)))), c_Product__Type_OPair(_u19667, _u19667)))), _u19669)), c_fequal), _u19671), _u19673)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19667, _u19667)), hAPP(hAPP(c_Product__Type_OPair(_u19667, _u19667), _u19671), _u19673)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u19667, _u19667), tc_HOL_Obool)), _u19669), c_Relation_OId(_u19667)))) )).
% 39.89/40.11 cnf(fact_reflcl__set__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19668, _u19668)), hAPP(hAPP(c_Product__Type_OPair(_u19668, _u19668), _u19672), _u19674)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u19668, _u19668), tc_HOL_Obool)), _u19670), c_Relation_OId(_u19668)))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u19668, tc_fun(_u19668, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u19668, tc_fun(tc_prod(_u19668, _u19668), tc_HOL_Obool), tc_fun(_u19668, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19668, tc_fun(tc_fun(tc_prod(_u19668, _u19668), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u19668, _u19668), tc_HOL_Obool), tc_fun(_u19668, tc_HOL_Obool)), _u19668), c_COMBC(_u19668, tc_fun(tc_prod(_u19668, _u19668), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19668, tc_prod(_u19668, _u19668)), tc_fun(_u19668, tc_fun(tc_fun(tc_prod(_u19668, _u19668), tc_HOL_Obool), tc_HOL_Obool)), _u19668), hAPP(c_COMBB(tc_prod(_u19668, _u19668), tc_fun(tc_fun(tc_prod(_u19668, _u19668), tc_HOL_Obool), tc_HOL_Obool), _u19668), c_member(tc_prod(_u19668, _u19668)))), c_Product__Type_OPair(_u19668, _u19668)))), _u19670)), c_fequal), _u19672), _u19674)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_r__into__rtrancl ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_r__into__rtrancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19675, _u19675)), _u19676), _u19677)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19675, _u19675)), _u19676), c_Transitive__Closure_Ortrancl(_u19675, _u19677))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_rtrancl_Ortrancl__refl ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_rtrancl_Ortrancl__refl-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u19678, _u19678)), hAPP(hAPP(c_Product__Type_OPair(_u19678, _u19678), _u19679), _u19679)), c_Transitive__Closure_Ortrancl(_u19678, _u19680))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_IdI ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_IdI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u19681, _u19681)), hAPP(hAPP(c_Product__Type_OPair(_u19681, _u19681), _u19682), _u19682)), c_Relation_OId(_u19681))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_trancl__into__rtrancl ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_trancl__into__rtrancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19683, _u19683)), hAPP(hAPP(c_Product__Type_OPair(_u19683, _u19683), _u19684), _u19685)), c_Transitive__Closure_Otrancl(_u19683, _u19686))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19683, _u19683)), hAPP(hAPP(c_Product__Type_OPair(_u19683, _u19683), _u19684), _u19685)), c_Transitive__Closure_Ortrancl(_u19683, _u19686))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_listrel__rtrancl__refl ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_listrel__rtrancl__refl-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19687), tc_List_Olist(_u19687))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19687), tc_List_Olist(_u19687)), _u19688), _u19688)), c_List_Olistrel(_u19687, c_Transitive__Closure_Ortrancl(_u19687, _u19689)))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_trancl__unfold__right ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_trancl__unfold__right-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u19690, _u19691) = hAPP(hAPP(c_Relation_Orel__comp(_u19690, _u19690, _u19690), c_Transitive__Closure_Ortrancl(_u19690, _u19691)), _u19691)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_trancl__unfold__left ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_trancl__unfold__left-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u19692, _u19693) = hAPP(hAPP(c_Relation_Orel__comp(_u19692, _u19692, _u19692), _u19693), c_Transitive__Closure_Ortrancl(_u19692, _u19693))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_trancl__reflcl ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_trancl__reflcl-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u19694, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u19694, _u19694), tc_HOL_Obool)), _u19695), c_Relation_OId(_u19694))) = c_Transitive__Closure_Ortrancl(_u19694, _u19695)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_reflcl__trancl ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_reflcl__trancl-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u19696, _u19696), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u19696, _u19697)), c_Relation_OId(_u19696)) = c_Transitive__Closure_Ortrancl(_u19696, _u19697)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_trancl__rtrancl__absorb ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_trancl__rtrancl__absorb-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u19698, c_Transitive__Closure_Otrancl(_u19698, _u19699)) = c_Transitive__Closure_Ortrancl(_u19698, _u19699)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_rtrancl__trancl__absorb ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_rtrancl__trancl__absorb-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u19700, c_Transitive__Closure_Ortrancl(_u19700, _u19701)) = c_Transitive__Closure_Ortrancl(_u19700, _u19701)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_rtrancl__eq__or__trancl ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_rtrancl__eq__or__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19706, _u19706)), hAPP(hAPP(c_Product__Type_OPair(_u19706, _u19706), _u19708), _u19710)), c_Transitive__Closure_Ortrancl(_u19706, _u19712))) | ( _u19708 = _u19710) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19706, _u19706)), hAPP(hAPP(c_Product__Type_OPair(_u19706, _u19706), _u19708), _u19710)), c_Transitive__Closure_Otrancl(_u19706, _u19712))) )).
% 39.89/40.11 cnf(fact_rtrancl__eq__or__trancl-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u19707, _u19707)), hAPP(hAPP(c_Product__Type_OPair(_u19707, _u19707), _u19709), _u19711)), c_Transitive__Closure_Ortrancl(_u19707, _u19713))) | ( _u19709 != _u19711) )).
% 39.89/40.11 cnf(fact_rtrancl__eq__or__trancl-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u19707, _u19707)), hAPP(hAPP(c_Product__Type_OPair(_u19707, _u19707), _u19709), _u19711)), c_Transitive__Closure_Ortrancl(_u19707, _u19713))) | ( _u19709 = _u19711) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19707, _u19707)), hAPP(hAPP(c_Product__Type_OPair(_u19707, _u19707), _u19709), _u19711)), c_Transitive__Closure_Otrancl(_u19707, _u19713))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_rtrancl__into__trancl2 ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_rtrancl__into__trancl2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19714, _u19714)), hAPP(hAPP(c_Product__Type_OPair(_u19714, _u19714), _u19715), _u19716)), _u19717)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19714, _u19714)), hAPP(hAPP(c_Product__Type_OPair(_u19714, _u19714), _u19716), _u19718)), c_Transitive__Closure_Ortrancl(_u19714, _u19717))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19714, _u19714)), hAPP(hAPP(c_Product__Type_OPair(_u19714, _u19714), _u19715), _u19718)), c_Transitive__Closure_Otrancl(_u19714, _u19717))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_rtranclD ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_rtranclD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19719, _u19719)), hAPP(hAPP(c_Product__Type_OPair(_u19719, _u19719), _u19720), _u19721)), c_Transitive__Closure_Ortrancl(_u19719, _u19722))) | ( _u19720 = _u19721) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19719, _u19719)), hAPP(hAPP(c_Product__Type_OPair(_u19719, _u19719), _u19720), _u19721)), c_Transitive__Closure_Otrancl(_u19719, _u19722))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_rtrancl__into__trancl1 ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_rtrancl__into__trancl1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19723, _u19723)), hAPP(hAPP(c_Product__Type_OPair(_u19723, _u19723), _u19724), _u19725)), c_Transitive__Closure_Ortrancl(_u19723, _u19726))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19723, _u19723)), hAPP(hAPP(c_Product__Type_OPair(_u19723, _u19723), _u19725), _u19727)), _u19726)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19723, _u19723)), hAPP(hAPP(c_Product__Type_OPair(_u19723, _u19723), _u19724), _u19727)), c_Transitive__Closure_Otrancl(_u19723, _u19726))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_trancl__rtrancl__trancl ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_trancl__rtrancl__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19728, _u19728)), hAPP(hAPP(c_Product__Type_OPair(_u19728, _u19728), _u19729), _u19730)), c_Transitive__Closure_Otrancl(_u19728, _u19731))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19728, _u19728)), hAPP(hAPP(c_Product__Type_OPair(_u19728, _u19728), _u19730), _u19732)), c_Transitive__Closure_Ortrancl(_u19728, _u19731))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19728, _u19728)), hAPP(hAPP(c_Product__Type_OPair(_u19728, _u19728), _u19729), _u19732)), c_Transitive__Closure_Otrancl(_u19728, _u19731))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_rtrancl__trancl__trancl ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_rtrancl__trancl__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19733, _u19733)), hAPP(hAPP(c_Product__Type_OPair(_u19733, _u19733), _u19734), _u19735)), c_Transitive__Closure_Ortrancl(_u19733, _u19736))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19733, _u19733)), hAPP(hAPP(c_Product__Type_OPair(_u19733, _u19733), _u19735), _u19737)), c_Transitive__Closure_Otrancl(_u19733, _u19736))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19733, _u19733)), hAPP(hAPP(c_Product__Type_OPair(_u19733, _u19733), _u19734), _u19737)), c_Transitive__Closure_Otrancl(_u19733, _u19736))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_rtrancl__trans ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_rtrancl__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19738, _u19738)), hAPP(hAPP(c_Product__Type_OPair(_u19738, _u19738), _u19739), _u19740)), c_Transitive__Closure_Ortrancl(_u19738, _u19741))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19738, _u19738)), hAPP(hAPP(c_Product__Type_OPair(_u19738, _u19738), _u19740), _u19742)), c_Transitive__Closure_Ortrancl(_u19738, _u19741))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19738, _u19738)), hAPP(hAPP(c_Product__Type_OPair(_u19738, _u19738), _u19739), _u19742)), c_Transitive__Closure_Ortrancl(_u19738, _u19741))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_rtrancl_Ortrancl__into__rtrancl ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_rtrancl_Ortrancl__into__rtrancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19743, _u19743)), hAPP(hAPP(c_Product__Type_OPair(_u19743, _u19743), _u19744), _u19745)), c_Transitive__Closure_Ortrancl(_u19743, _u19746))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19743, _u19743)), hAPP(hAPP(c_Product__Type_OPair(_u19743, _u19743), _u19745), _u19747)), _u19746)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19743, _u19743)), hAPP(hAPP(c_Product__Type_OPair(_u19743, _u19743), _u19744), _u19747)), c_Transitive__Closure_Ortrancl(_u19743, _u19746))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_converse__rtrancl__into__rtrancl ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_converse__rtrancl__into__rtrancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19748, _u19748)), hAPP(hAPP(c_Product__Type_OPair(_u19748, _u19748), _u19749), _u19750)), _u19751)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19748, _u19748)), hAPP(hAPP(c_Product__Type_OPair(_u19748, _u19748), _u19750), _u19752)), c_Transitive__Closure_Ortrancl(_u19748, _u19751))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19748, _u19748)), hAPP(hAPP(c_Product__Type_OPair(_u19748, _u19748), _u19749), _u19752)), c_Transitive__Closure_Ortrancl(_u19748, _u19751))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_Image__closed__trancl ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_Image__closed__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u19753, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u19753, _u19753, _u19754), _u19755)), _u19755)) | ( hAPP(c_Relation_OImage(_u19753, _u19753, c_Transitive__Closure_Ortrancl(_u19753, _u19754)), _u19755) = _u19755) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_rtrancl__Un__subset ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_rtrancl__Un__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u19756, _u19756), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u19756, _u19756), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u19756, _u19757)), c_Transitive__Closure_Ortrancl(_u19756, _u19758))), c_Transitive__Closure_Ortrancl(_u19756, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u19756, _u19756), tc_HOL_Obool)), _u19757), _u19758)))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_rtrancl__mono ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_rtrancl__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u19759, _u19759), tc_HOL_Obool)), _u19760), _u19761)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u19759, _u19759), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u19759, _u19760)), c_Transitive__Closure_Ortrancl(_u19759, _u19761))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_rtrancl__subset ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_rtrancl__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u19762, _u19762), tc_HOL_Obool)), _u19763), _u19764)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u19762, _u19762), tc_HOL_Obool)), _u19764), c_Transitive__Closure_Ortrancl(_u19762, _u19763))) | ( c_Transitive__Closure_Ortrancl(_u19762, _u19764) = c_Transitive__Closure_Ortrancl(_u19762, _u19763)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_rtrancl__subset__rtrancl ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_rtrancl__subset__rtrancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u19765, _u19765), tc_HOL_Obool)), _u19766), c_Transitive__Closure_Ortrancl(_u19765, _u19767))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u19765, _u19765), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u19765, _u19766)), c_Transitive__Closure_Ortrancl(_u19765, _u19767))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_rtrancl__Int__subset ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_rtrancl__Int__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u19768, _u19768), tc_HOL_Obool)), c_Relation_OId(_u19768)), _u19769)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u19768, _u19768), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u19768, _u19768, _u19768), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u19768, _u19768), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u19768, _u19770)), _u19769)), _u19770)), _u19769)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u19768, _u19768), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u19768, _u19770)), _u19769)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_refl__rtrancl ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_refl__rtrancl-1, axiom, ( c_Relation_Orefl__on(_u19771, c_Orderings_Otop__class_Otop(tc_fun(_u19771, tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u19771, _u19772)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_rtrancl__idemp ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_rtrancl__idemp-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u19773, c_Transitive__Closure_Ortrancl(_u19773, _u19774)) = c_Transitive__Closure_Ortrancl(_u19773, _u19774)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_rtrancl__reflcl__absorb ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_rtrancl__reflcl__absorb-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u19775, _u19775), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u19775, _u19776)), c_Relation_OId(_u19775)) = c_Transitive__Closure_Ortrancl(_u19775, _u19776)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_rtrancl__Un__rtrancl ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_rtrancl__Un__rtrancl-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u19777, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u19777, _u19777), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u19777, _u19778)), c_Transitive__Closure_Ortrancl(_u19777, _u19779))) = c_Transitive__Closure_Ortrancl(_u19777, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u19777, _u19777), tc_HOL_Obool)), _u19778), _u19779))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_rtrancl__reflcl ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_rtrancl__reflcl-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u19780, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u19780, _u19780), tc_HOL_Obool)), _u19781), c_Relation_OId(_u19780))) = c_Transitive__Closure_Ortrancl(_u19780, _u19781)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_rtrancl__unfold ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_rtrancl__unfold-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u19782, _u19783) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u19782, _u19782), tc_HOL_Obool)), c_Relation_OId(_u19782)), hAPP(hAPP(c_Relation_Orel__comp(_u19782, _u19782, _u19782), c_Transitive__Closure_Ortrancl(_u19782, _u19783)), _u19783))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_r__comp__rtrancl__eq ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_r__comp__rtrancl__eq-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u19784, _u19784, _u19784), _u19785), c_Transitive__Closure_Ortrancl(_u19784, _u19785)) = hAPP(hAPP(c_Relation_Orel__comp(_u19784, _u19784, _u19784), c_Transitive__Closure_Ortrancl(_u19784, _u19785)), _u19785)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_rtrancl__idemp__self__comp ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_rtrancl__idemp__self__comp-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u19786, _u19786, _u19786), c_Transitive__Closure_Ortrancl(_u19786, _u19787)), c_Transitive__Closure_Ortrancl(_u19786, _u19787)) = c_Transitive__Closure_Ortrancl(_u19786, _u19787)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_rtrancl__r__diff__Id ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_rtrancl__r__diff__Id-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u19788, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u19788, _u19788), tc_HOL_Obool)), _u19789), c_Relation_OId(_u19788))) = c_Transitive__Closure_Ortrancl(_u19788, _u19789)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_Range__rtrancl ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_Range__rtrancl-1, axiom, ( ( hAPP(c_Relation_ORange(_u19790, _u19790), c_Transitive__Closure_Ortrancl(_u19790, _u19791)) = c_Orderings_Otop__class_Otop(tc_fun(_u19790, tc_HOL_Obool))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_Domain__rtrancl ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_Domain__rtrancl-1, axiom, ( ( hAPP(c_Relation_ODomain(_u19792, _u19792), c_Transitive__Closure_Ortrancl(_u19792, _u19793)) = c_Orderings_Otop__class_Otop(tc_fun(_u19792, tc_HOL_Obool))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_in__rtrancl__UnI ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_in__rtrancl__UnI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u19794, _u19794)), _u19795), c_Transitive__Closure_Ortrancl(_u19794, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u19794, _u19794), tc_HOL_Obool)), _u19796), _u19797)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19794, _u19794)), _u19795), c_Transitive__Closure_Ortrancl(_u19794, _u19796))) )).
% 39.89/40.11 cnf(fact_in__rtrancl__UnI-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u19794, _u19794)), _u19795), c_Transitive__Closure_Ortrancl(_u19794, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u19794, _u19794), tc_HOL_Obool)), _u19796), _u19797)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19794, _u19794)), _u19795), c_Transitive__Closure_Ortrancl(_u19794, _u19797))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_rtrancl__empty ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_rtrancl__empty-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u19798, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u19798, _u19798), tc_HOL_Obool))) = c_Relation_OId(_u19798)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_Domain__Id ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_Domain__Id-1, axiom, ( ( hAPP(c_Relation_ODomain(_u19799, _u19799), c_Relation_OId(_u19799)) = c_Orderings_Otop__class_Otop(tc_fun(_u19799, tc_HOL_Obool))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_listrel__rtrancl__eq__rtrancl__listrel1 ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_listrel__rtrancl__eq__rtrancl__listrel1-1, axiom, ( ( c_List_Olistrel(_u19800, c_Transitive__Closure_Ortrancl(_u19800, _u19801)) = c_Transitive__Closure_Ortrancl(tc_List_Olist(_u19800), c_List_Olistrel1(_u19800, _u19801))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_Image__Id ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_Image__Id-1, axiom, ( ( hAPP(c_Relation_OImage(_u19802, _u19802, c_Relation_OId(_u19802)), _u19803) = _u19803) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_Id__O__R ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_Id__O__R-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u19804, _u19804, _u19805), c_Relation_OId(_u19804)), _u19806) = _u19806) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_R__O__Id ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_R__O__Id-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u19807, _u19808, _u19808), _u19809), c_Relation_OId(_u19808)) = _u19809) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_Range__Id ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_Range__Id-1, axiom, ( ( hAPP(c_Relation_ORange(_u19810, _u19810), c_Relation_OId(_u19810)) = c_Orderings_Otop__class_Otop(tc_fun(_u19810, tc_HOL_Obool))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_refl__Id ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_refl__Id-1, axiom, ( c_Relation_Orefl__on(_u19811, c_Orderings_Otop__class_Otop(tc_fun(_u19811, tc_HOL_Obool)), c_Relation_OId(_u19811)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_listrel1__rtrancl__subset__rtrancl__listrel1 ( axiom ) converted to clauses:
% 39.89/40.11 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(_u19812), tc_List_Olist(_u19812)), tc_HOL_Obool)), c_List_Olistrel1(_u19812, c_Transitive__Closure_Ortrancl(_u19812, _u19813))), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u19812), c_List_Olistrel1(_u19812, _u19813)))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_pair__in__Id__conv ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_pair__in__Id__conv-1, axiom, ( ( _u19819 = _u19821) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19817, _u19817)), hAPP(hAPP(c_Product__Type_OPair(_u19817, _u19817), _u19819), _u19821)), c_Relation_OId(_u19817))) )).
% 39.89/40.11 cnf(fact_pair__in__Id__conv-2, axiom, ( ( _u19820 != _u19822) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19818, _u19818)), hAPP(hAPP(c_Product__Type_OPair(_u19818, _u19818), _u19820), _u19822)), c_Relation_OId(_u19818))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_listrel__rtrancl__trans ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_listrel__rtrancl__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19823), tc_List_Olist(_u19823))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19823), tc_List_Olist(_u19823)), _u19824), _u19825)), c_List_Olistrel(_u19823, c_Transitive__Closure_Ortrancl(_u19823, _u19826)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19823), tc_List_Olist(_u19823))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19823), tc_List_Olist(_u19823)), _u19825), _u19827)), c_List_Olistrel(_u19823, c_Transitive__Closure_Ortrancl(_u19823, _u19826)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19823), tc_List_Olist(_u19823))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19823), tc_List_Olist(_u19823)), _u19824), _u19827)), c_List_Olistrel(_u19823, c_Transitive__Closure_Ortrancl(_u19823, _u19826)))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_rtrancl__listrel1__ConsI2 ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_rtrancl__listrel1__ConsI2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19828, _u19828)), hAPP(hAPP(c_Product__Type_OPair(_u19828, _u19828), _u19829), _u19830)), c_Transitive__Closure_Ortrancl(_u19828, _u19831))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19828), tc_List_Olist(_u19828))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19828), tc_List_Olist(_u19828)), _u19832), _u19833)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u19828), c_List_Olistrel1(_u19828, _u19831)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19828), tc_List_Olist(_u19828))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19828), tc_List_Olist(_u19828)), hAPP(hAPP(c_List_Olist_OCons(_u19828), _u19829), _u19832)), hAPP(hAPP(c_List_Olist_OCons(_u19828), _u19830), _u19833))), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u19828), c_List_Olistrel1(_u19828, _u19831)))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_listrel__subset__rtrancl__listrel1 ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_listrel__subset__rtrancl__listrel1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u19834), tc_List_Olist(_u19834)), tc_HOL_Obool)), c_List_Olistrel(_u19834, _u19835)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u19834), c_List_Olistrel1(_u19834, _u19835)))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_pair__leq__def ( axiom ) converted to clauses:
% 39.89/40.11 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)))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_Not__Domain__rtrancl ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_Not__Domain__rtrancl-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u19836), _u19837), hAPP(c_Relation_ODomain(_u19836, _u19836), _u19838))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19836, _u19836)), hAPP(hAPP(c_Product__Type_OPair(_u19836, _u19836), _u19837), _u19839)), c_Transitive__Closure_Ortrancl(_u19836, _u19838))) | ( _u19837 = _u19839) )).
% 39.89/40.11 cnf(fact_Not__Domain__rtrancl-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u19836), _u19837), hAPP(c_Relation_ODomain(_u19836, _u19836), _u19838))) | ( _u19837 != _u19839) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19836, _u19836)), hAPP(hAPP(c_Product__Type_OPair(_u19836, _u19836), _u19837), _u19839)), c_Transitive__Closure_Ortrancl(_u19836, _u19838))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_acc__downwards ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_acc__downwards-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19840), _u19841), c_Wellfounded_Oacc(_u19840, _u19842))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19840, _u19840)), hAPP(hAPP(c_Product__Type_OPair(_u19840, _u19840), _u19843), _u19841)), c_Transitive__Closure_Ortrancl(_u19840, _u19842))) | hBOOL(hAPP(hAPP(c_member(_u19840), _u19843), c_Wellfounded_Oacc(_u19840, _u19842))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_acc__downwards__aux ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_acc__downwards__aux-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19844, _u19844)), hAPP(hAPP(c_Product__Type_OPair(_u19844, _u19844), _u19845), _u19846)), c_Transitive__Closure_Ortrancl(_u19844, _u19847))) | ~hBOOL(hAPP(hAPP(c_member(_u19844), _u19846), c_Wellfounded_Oacc(_u19844, _u19847))) | hBOOL(hAPP(hAPP(c_member(_u19844), _u19845), c_Wellfounded_Oacc(_u19844, _u19847))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_wf__insert ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_wf__insert-1, axiom, ( ~c_Wellfounded_Owf(_u19852, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u19852, _u19852)), hAPP(hAPP(c_Product__Type_OPair(_u19852, _u19852), _u19854), _u19856)), _u19858)) | c_Wellfounded_Owf(_u19852, _u19858) )).
% 39.89/40.11 cnf(fact_wf__insert-2, axiom, ( ~c_Wellfounded_Owf(_u19852, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u19852, _u19852)), hAPP(hAPP(c_Product__Type_OPair(_u19852, _u19852), _u19854), _u19856)), _u19858)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19852, _u19852)), hAPP(hAPP(c_Product__Type_OPair(_u19852, _u19852), _u19856), _u19854)), c_Transitive__Closure_Ortrancl(_u19852, _u19858))) )).
% 39.89/40.11 cnf(fact_wf__insert-3, axiom, ( ~c_Wellfounded_Owf(_u19853, _u19859) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19853, _u19853)), hAPP(hAPP(c_Product__Type_OPair(_u19853, _u19853), _u19857), _u19855)), c_Transitive__Closure_Ortrancl(_u19853, _u19859))) | c_Wellfounded_Owf(_u19853, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u19853, _u19853)), hAPP(hAPP(c_Product__Type_OPair(_u19853, _u19853), _u19855), _u19857)), _u19859)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_rtrancl__listrel1__ConsI1 ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_rtrancl__listrel1__ConsI1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19860), tc_List_Olist(_u19860))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19860), tc_List_Olist(_u19860)), _u19861), _u19862)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u19860), c_List_Olistrel1(_u19860, _u19863)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19860), tc_List_Olist(_u19860))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19860), tc_List_Olist(_u19860)), hAPP(hAPP(c_List_Olist_OCons(_u19860), _u19864), _u19861)), hAPP(hAPP(c_List_Olist_OCons(_u19860), _u19864), _u19862))), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u19860), c_List_Olistrel1(_u19860, _u19863)))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_rtrancl__listrel1__eq__len ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_rtrancl__listrel1__eq__len-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19865), tc_List_Olist(_u19865))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19865), tc_List_Olist(_u19865)), _u19866), _u19867)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u19865), c_List_Olistrel1(_u19865, _u19868)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19865)), _u19866) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19865)), _u19867)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_acyclic__insert ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_acyclic__insert-1, axiom, ( ~c_Wellfounded_Oacyclic(_u19873, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u19873, _u19873)), hAPP(hAPP(c_Product__Type_OPair(_u19873, _u19873), _u19875), _u19877)), _u19879)) | c_Wellfounded_Oacyclic(_u19873, _u19879) )).
% 39.89/40.11 cnf(fact_acyclic__insert-2, axiom, ( ~c_Wellfounded_Oacyclic(_u19873, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u19873, _u19873)), hAPP(hAPP(c_Product__Type_OPair(_u19873, _u19873), _u19875), _u19877)), _u19879)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19873, _u19873)), hAPP(hAPP(c_Product__Type_OPair(_u19873, _u19873), _u19877), _u19875)), c_Transitive__Closure_Ortrancl(_u19873, _u19879))) )).
% 39.89/40.11 cnf(fact_acyclic__insert-3, axiom, ( ~c_Wellfounded_Oacyclic(_u19874, _u19880) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19874, _u19874)), hAPP(hAPP(c_Product__Type_OPair(_u19874, _u19874), _u19878), _u19876)), c_Transitive__Closure_Ortrancl(_u19874, _u19880))) | c_Wellfounded_Oacyclic(_u19874, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u19874, _u19874)), hAPP(hAPP(c_Product__Type_OPair(_u19874, _u19874), _u19876), _u19878)), _u19880)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_listrel__reflcl__if__listrel1 ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_listrel__reflcl__if__listrel1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19881), tc_List_Olist(_u19881))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19881), tc_List_Olist(_u19881)), _u19882), _u19883)), c_List_Olistrel1(_u19881, _u19884))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19881), tc_List_Olist(_u19881))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19881), tc_List_Olist(_u19881)), _u19882), _u19883)), c_List_Olistrel(_u19881, c_Transitive__Closure_Ortrancl(_u19881, _u19884)))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_rtrancl__listrel1__if__listrel ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_rtrancl__listrel1__if__listrel-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19885), tc_List_Olist(_u19885))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19885), tc_List_Olist(_u19885)), _u19886), _u19887)), c_List_Olistrel(_u19885, _u19888))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19885), tc_List_Olist(_u19885))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19885), tc_List_Olist(_u19885)), _u19886), _u19887)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u19885), c_List_Olistrel1(_u19885, _u19888)))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_refl__reflcl ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_refl__reflcl-1, axiom, ( c_Relation_Orefl__on(_u19889, c_Orderings_Otop__class_Otop(tc_fun(_u19889, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u19889, _u19889), tc_HOL_Obool)), _u19890), c_Relation_OId(_u19889))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_Id__def ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_Id__def-1, axiom, ( ( c_Relation_OId(_u19891) = hAPP(c_Set_OCollect(tc_prod(_u19891, _u19891)), hAPP(hAPP(c_COMBB(tc_fun(_u19891, tc_HOL_Obool), tc_HOL_Obool, tc_prod(_u19891, _u19891)), c_HOL_OEx(_u19891)), hAPP(hAPP(c_COMBC(tc_prod(_u19891, _u19891), tc_fun(_u19891, tc_prod(_u19891, _u19891)), tc_fun(_u19891, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u19891, _u19891), tc_HOL_Obool), tc_fun(tc_fun(_u19891, tc_prod(_u19891, _u19891)), tc_fun(_u19891, tc_HOL_Obool)), tc_prod(_u19891, _u19891)), c_COMBB(tc_prod(_u19891, _u19891), tc_HOL_Obool, _u19891)), c_fequal)), hAPP(hAPP(c_COMBS(_u19891, _u19891, tc_prod(_u19891, _u19891)), c_Product__Type_OPair(_u19891, _u19891)), c_COMBI(_u19891)))))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_irrefl__diff__Id ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_irrefl__diff__Id-1, axiom, ( c_Relation_Oirrefl(_u19892, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u19892, _u19892), tc_HOL_Obool)), _u19893), c_Relation_OId(_u19892))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_pred__nat__trancl__eq__le ( axiom ) converted to clauses:
% 39.89/40.11 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), _u19896), _u19898)), c_Transitive__Closure_Ortrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u19896), _u19898)) )).
% 39.89/40.11 cnf(fact_pred__nat__trancl__eq__le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u19897), _u19899)) | 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), _u19897), _u19899)), c_Transitive__Closure_Ortrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_trancl__subset__Sigma__aux ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_trancl__subset__Sigma__aux-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19900, _u19900)), hAPP(hAPP(c_Product__Type_OPair(_u19900, _u19900), _u19901), _u19902)), c_Transitive__Closure_Ortrancl(_u19900, _u19903))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u19900, _u19900), tc_HOL_Obool)), _u19903), hAPP(hAPP(c_Product__Type_OSigma(_u19900, _u19900), _u19904), hAPP(c_COMBK(tc_fun(_u19900, tc_HOL_Obool), _u19900), _u19904)))) | ( _u19901 = _u19902) | hBOOL(hAPP(hAPP(c_member(_u19900), _u19901), _u19904)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_irrefl__tranclI ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_irrefl__tranclI-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u19905, _u19905), tc_HOL_Obool)), hAPP(c_Relation_Oconverse(_u19905, _u19905), _u19906)), c_Transitive__Closure_Ortrancl(_u19905, _u19906)) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u19905, _u19905), tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19905, _u19905)), hAPP(hAPP(c_Product__Type_OPair(_u19905, _u19905), _u19907), _u19907)), c_Transitive__Closure_Otrancl(_u19905, _u19906))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_sequence__trans ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_sequence__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19909, _u19909)), hAPP(hAPP(c_Product__Type_OPair(_u19909, _u19909), hAPP(_u19910, hAPP(c_Nat_OSuc, skolem495(_u19913, _u19912, _u19911, _u19910, _u19909)))), hAPP(_u19910, skolem495(_u19913, _u19912, _u19911, _u19910, _u19909)))), c_Transitive__Closure_Ortrancl(_u19909, _u19911))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19909, _u19909)), hAPP(hAPP(c_Product__Type_OPair(_u19909, _u19909), hAPP(_u19910, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u19912), _u19913))), hAPP(_u19910, _u19912))), c_Transitive__Closure_Ortrancl(_u19909, _u19911))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_rtrancl__converseD ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_rtrancl__converseD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19914, _u19914)), hAPP(hAPP(c_Product__Type_OPair(_u19914, _u19914), _u19915), _u19916)), c_Transitive__Closure_Ortrancl(_u19914, hAPP(c_Relation_Oconverse(_u19914, _u19914), _u19917)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19914, _u19914)), hAPP(hAPP(c_Product__Type_OPair(_u19914, _u19914), _u19916), _u19915)), c_Transitive__Closure_Ortrancl(_u19914, _u19917))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_rtrancl__converseI ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_rtrancl__converseI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19918, _u19918)), hAPP(hAPP(c_Product__Type_OPair(_u19918, _u19918), _u19919), _u19920)), c_Transitive__Closure_Ortrancl(_u19918, _u19921))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19918, _u19918)), hAPP(hAPP(c_Product__Type_OPair(_u19918, _u19918), _u19920), _u19919)), c_Transitive__Closure_Ortrancl(_u19918, hAPP(c_Relation_Oconverse(_u19918, _u19918), _u19921)))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_rtrancl__converse ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_rtrancl__converse-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u19922, hAPP(c_Relation_Oconverse(_u19922, _u19922), _u19923)) = hAPP(c_Relation_Oconverse(_u19922, _u19922), c_Transitive__Closure_Ortrancl(_u19922, _u19923))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_converse__Id ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_converse__Id-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u19924, _u19924), c_Relation_OId(_u19924)) = c_Relation_OId(_u19924)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_in__listrel1__converse ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_in__listrel1__converse-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19929), tc_List_Olist(_u19929))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19929), tc_List_Olist(_u19929)), _u19931), _u19933)), c_List_Olistrel1(_u19929, hAPP(c_Relation_Oconverse(_u19929, _u19929), _u19935)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19929), tc_List_Olist(_u19929))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19929), tc_List_Olist(_u19929)), _u19931), _u19933)), hAPP(c_Relation_Oconverse(tc_List_Olist(_u19929), tc_List_Olist(_u19929)), c_List_Olistrel1(_u19929, _u19935)))) )).
% 39.89/40.11 cnf(fact_in__listrel1__converse-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19930), tc_List_Olist(_u19930))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19930), tc_List_Olist(_u19930)), _u19932), _u19934)), hAPP(c_Relation_Oconverse(tc_List_Olist(_u19930), tc_List_Olist(_u19930)), c_List_Olistrel1(_u19930, _u19936)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19930), tc_List_Olist(_u19930))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19930), tc_List_Olist(_u19930)), _u19932), _u19934)), c_List_Olistrel1(_u19930, hAPP(c_Relation_Oconverse(_u19930, _u19930), _u19936)))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_converse__iff ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_converse__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19942, _u19944)), hAPP(hAPP(c_Product__Type_OPair(_u19942, _u19944), _u19946), _u19948)), hAPP(c_Relation_Oconverse(_u19944, _u19942), _u19950))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19944, _u19942)), hAPP(hAPP(c_Product__Type_OPair(_u19944, _u19942), _u19948), _u19946)), _u19950)) )).
% 39.89/40.11 cnf(fact_converse__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19945, _u19943)), hAPP(hAPP(c_Product__Type_OPair(_u19945, _u19943), _u19949), _u19947)), _u19951)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19943, _u19945)), hAPP(hAPP(c_Product__Type_OPair(_u19943, _u19945), _u19947), _u19949)), hAPP(c_Relation_Oconverse(_u19945, _u19943), _u19951))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_converseI ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_converseI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19952, _u19953)), hAPP(hAPP(c_Product__Type_OPair(_u19952, _u19953), _u19954), _u19955)), _u19956)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19953, _u19952)), hAPP(hAPP(c_Product__Type_OPair(_u19953, _u19952), _u19955), _u19954)), hAPP(c_Relation_Oconverse(_u19952, _u19953), _u19956))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_converseD ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_converseD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19957, _u19958)), hAPP(hAPP(c_Product__Type_OPair(_u19957, _u19958), _u19959), _u19960)), hAPP(c_Relation_Oconverse(_u19958, _u19957), _u19961))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19958, _u19957)), hAPP(hAPP(c_Product__Type_OPair(_u19958, _u19957), _u19960), _u19959)), _u19961)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_converse__inv__image ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_converse__inv__image-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u19962, _u19962), hAPP(hAPP(c_Relation_Oinv__image(_u19963, _u19962), _u19964), _u19965)) = hAPP(hAPP(c_Relation_Oinv__image(_u19963, _u19962), hAPP(c_Relation_Oconverse(_u19963, _u19963), _u19964)), _u19965)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_converse__INTER ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_converse__INTER-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u19966, _u19967), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u19968, tc_fun(tc_prod(_u19966, _u19967), tc_HOL_Obool)), _u19969), _u19970)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u19968, tc_fun(tc_prod(_u19967, _u19966), tc_HOL_Obool)), _u19969), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u19966, _u19967), tc_HOL_Obool), tc_fun(tc_prod(_u19967, _u19966), tc_HOL_Obool), _u19968), c_Relation_Oconverse(_u19966, _u19967)), _u19970))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_converse__Int ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_converse__Int-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u19971, _u19972), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u19971, _u19972), tc_HOL_Obool)), _u19973), _u19974)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u19972, _u19971), tc_HOL_Obool)), hAPP(c_Relation_Oconverse(_u19971, _u19972), _u19973)), hAPP(c_Relation_Oconverse(_u19971, _u19972), _u19974))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_converse__UNION ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_converse__UNION-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u19975, _u19976), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u19977, tc_fun(tc_prod(_u19975, _u19976), tc_HOL_Obool)), _u19978), _u19979)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u19977, tc_fun(tc_prod(_u19976, _u19975), tc_HOL_Obool)), _u19978), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u19975, _u19976), tc_HOL_Obool), tc_fun(tc_prod(_u19976, _u19975), tc_HOL_Obool), _u19977), c_Relation_Oconverse(_u19975, _u19976)), _u19979))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_refl__on__converse ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_refl__on__converse-1, axiom, ( ~c_Relation_Orefl__on(_u19983, _u19985, hAPP(c_Relation_Oconverse(_u19983, _u19983), _u19987)) | c_Relation_Orefl__on(_u19983, _u19985, _u19987) )).
% 39.89/40.11 cnf(fact_refl__on__converse-2, axiom, ( ~c_Relation_Orefl__on(_u19984, _u19986, _u19988) | c_Relation_Orefl__on(_u19984, _u19986, hAPP(c_Relation_Oconverse(_u19984, _u19984), _u19988)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_finite__converse ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_finite__converse-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u19992, _u19994)), hAPP(c_Relation_Oconverse(_u19994, _u19992), _u19996))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u19994, _u19992)), _u19996)) )).
% 39.89/40.11 cnf(fact_finite__converse-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u19995, _u19993)), _u19997)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u19993, _u19995)), hAPP(c_Relation_Oconverse(_u19995, _u19993), _u19997))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_acyclic__converse ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_acyclic__converse-1, axiom, ( ~c_Wellfounded_Oacyclic(_u20000, hAPP(c_Relation_Oconverse(_u20000, _u20000), _u20002)) | c_Wellfounded_Oacyclic(_u20000, _u20002) )).
% 39.89/40.11 cnf(fact_acyclic__converse-2, axiom, ( ~c_Wellfounded_Oacyclic(_u20001, _u20003) | c_Wellfounded_Oacyclic(_u20001, hAPP(c_Relation_Oconverse(_u20001, _u20001), _u20003)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_converse__Id__on ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_converse__Id__on-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u20004, _u20004), c_Relation_OId__on(_u20004, _u20005)) = c_Relation_OId__on(_u20004, _u20005)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_Field__converse ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_Field__converse-1, axiom, ( ( hAPP(c_Relation_OField(_u20006), hAPP(c_Relation_Oconverse(_u20006, _u20006), _u20007)) = hAPP(c_Relation_OField(_u20006), _u20007)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_converse__converse ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_converse__converse-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u20008, _u20009), hAPP(c_Relation_Oconverse(_u20009, _u20008), _u20010)) = _u20010) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_converse__Un ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_converse__Un-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u20011, _u20012), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u20011, _u20012), tc_HOL_Obool)), _u20013), _u20014)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u20012, _u20011), tc_HOL_Obool)), hAPP(c_Relation_Oconverse(_u20011, _u20012), _u20013)), hAPP(c_Relation_Oconverse(_u20011, _u20012), _u20014))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_converse__rel__comp ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_converse__rel__comp-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u20015, _u20016), hAPP(hAPP(c_Relation_Orel__comp(_u20015, _u20017, _u20016), _u20018), _u20019)) = hAPP(hAPP(c_Relation_Orel__comp(_u20016, _u20017, _u20015), hAPP(c_Relation_Oconverse(_u20017, _u20016), _u20019)), hAPP(c_Relation_Oconverse(_u20015, _u20017), _u20018))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_listrel1__converse ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_listrel1__converse-1, axiom, ( ( c_List_Olistrel1(_u20020, hAPP(c_Relation_Oconverse(_u20020, _u20020), _u20021)) = hAPP(c_Relation_Oconverse(tc_List_Olist(_u20020), tc_List_Olist(_u20020)), c_List_Olistrel1(_u20020, _u20021))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_equiv__comp__eq ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_equiv__comp__eq-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u20022, _u20023, _u20024) | ( hAPP(hAPP(c_Relation_Orel__comp(_u20022, _u20022, _u20022), hAPP(c_Relation_Oconverse(_u20022, _u20022), _u20024)), _u20024) = _u20024) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_Range__def ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_Range__def-1, axiom, ( ( hAPP(c_Relation_ORange(_u20025, _u20026), _u20027) = hAPP(c_Relation_ODomain(_u20026, _u20025), hAPP(c_Relation_Oconverse(_u20025, _u20026), _u20027))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_Domain__converse ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_Domain__converse-1, axiom, ( ( hAPP(c_Relation_ODomain(_u20028, _u20029), hAPP(c_Relation_Oconverse(_u20029, _u20028), _u20030)) = hAPP(c_Relation_ORange(_u20029, _u20028), _u20030)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_Range__converse ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_Range__converse-1, axiom, ( ( hAPP(c_Relation_ORange(_u20031, _u20032), hAPP(c_Relation_Oconverse(_u20032, _u20031), _u20033)) = hAPP(c_Relation_ODomain(_u20032, _u20031), _u20033)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_trancl__converseD ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_trancl__converseD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20034, _u20034)), hAPP(hAPP(c_Product__Type_OPair(_u20034, _u20034), _u20035), _u20036)), c_Transitive__Closure_Otrancl(_u20034, hAPP(c_Relation_Oconverse(_u20034, _u20034), _u20037)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20034, _u20034)), hAPP(hAPP(c_Product__Type_OPair(_u20034, _u20034), _u20035), _u20036)), hAPP(c_Relation_Oconverse(_u20034, _u20034), c_Transitive__Closure_Otrancl(_u20034, _u20037)))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_trancl__converseI ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_trancl__converseI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20038, _u20038)), hAPP(hAPP(c_Product__Type_OPair(_u20038, _u20038), _u20039), _u20040)), hAPP(c_Relation_Oconverse(_u20038, _u20038), c_Transitive__Closure_Otrancl(_u20038, _u20041)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20038, _u20038)), hAPP(hAPP(c_Product__Type_OPair(_u20038, _u20038), _u20039), _u20040)), c_Transitive__Closure_Otrancl(_u20038, hAPP(c_Relation_Oconverse(_u20038, _u20038), _u20041)))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_wf__converse__trancl ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_wf__converse__trancl-1, axiom, ( ~c_Wellfounded_Owf(_u20042, hAPP(c_Relation_Oconverse(_u20042, _u20042), _u20043)) | c_Wellfounded_Owf(_u20042, hAPP(c_Relation_Oconverse(_u20042, _u20042), c_Transitive__Closure_Otrancl(_u20042, _u20043))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_trancl__converse ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_trancl__converse-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u20044, hAPP(c_Relation_Oconverse(_u20044, _u20044), _u20045)) = hAPP(c_Relation_Oconverse(_u20044, _u20044), c_Transitive__Closure_Otrancl(_u20044, _u20045))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_Image__subset__eq ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_Image__subset__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20051, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u20053, _u20051, _u20055), _u20057)), _u20059)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20053, tc_HOL_Obool)), _u20057), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u20053, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u20051, _u20053, hAPP(c_Relation_Oconverse(_u20053, _u20051), _u20055)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u20051, tc_HOL_Obool)), _u20059))))) )).
% 39.89/40.11 cnf(fact_Image__subset__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20054, tc_HOL_Obool)), _u20058), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u20054, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u20052, _u20054, hAPP(c_Relation_Oconverse(_u20054, _u20052), _u20056)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u20052, tc_HOL_Obool)), _u20060))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20052, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u20054, _u20052, _u20056), _u20058)), _u20060)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_refl__on__comp__subset ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_refl__on__comp__subset-1, axiom, ( ~c_Relation_Orefl__on(_u20061, _u20062, _u20063) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u20061, _u20061), tc_HOL_Obool)), _u20063), hAPP(hAPP(c_Relation_Orel__comp(_u20061, _u20061, _u20061), hAPP(c_Relation_Oconverse(_u20061, _u20061), _u20063)), _u20063))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_comp__equivI ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_comp__equivI-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u20064, _u20064, _u20064), hAPP(c_Relation_Oconverse(_u20064, _u20064), _u20065)), _u20065) != _u20065) | ( hAPP(c_Relation_ODomain(_u20064, _u20064), _u20065) != _u20066) | c_Equiv__Relations_Oequiv(_u20064, _u20066, _u20065) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_finite__acyclic__wf__converse ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_finite__acyclic__wf__converse-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u20067, _u20067)), _u20068)) | ~c_Wellfounded_Oacyclic(_u20067, _u20068) | c_Wellfounded_Owf(_u20067, hAPP(c_Relation_Oconverse(_u20067, _u20067), _u20068)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_converse__def ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_converse__def-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u20069, _u20070), _u20071) = hAPP(c_Set_OCollect(tc_prod(_u20070, _u20069)), hAPP(c_Product__Type_Oprod_Oprod__case(_u20070, _u20069, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u20070, tc_fun(tc_prod(_u20069, _u20070), tc_HOL_Obool), tc_fun(_u20069, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u20069, tc_fun(tc_fun(tc_prod(_u20069, _u20070), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u20069, _u20070), tc_HOL_Obool), tc_fun(_u20069, tc_HOL_Obool)), _u20070), c_COMBC(_u20069, tc_fun(tc_prod(_u20069, _u20070), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u20069, tc_prod(_u20069, _u20070)), tc_fun(_u20069, tc_fun(tc_fun(tc_prod(_u20069, _u20070), tc_HOL_Obool), tc_HOL_Obool)), _u20070), hAPP(c_COMBB(tc_prod(_u20069, _u20070), tc_fun(tc_fun(tc_prod(_u20069, _u20070), tc_HOL_Obool), tc_HOL_Obool), _u20069), c_member(tc_prod(_u20069, _u20070)))), hAPP(c_COMBC(_u20069, _u20070, tc_prod(_u20069, _u20070)), c_Product__Type_OPair(_u20069, _u20070))))), _u20071)))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_Image__INT__eq ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_Image__INT__eq-1, axiom, ( ~c_Relation_Osingle__valued(_u20072, _u20073, hAPP(c_Relation_Oconverse(_u20073, _u20072), _u20074)) | ( _u20075 = c_Orderings_Obot__class_Obot(tc_fun(_u20076, tc_HOL_Obool))) | ( hAPP(c_Relation_OImage(_u20073, _u20072, _u20074), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20076, tc_fun(_u20073, tc_HOL_Obool)), _u20075), _u20077)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20076, tc_fun(_u20072, tc_HOL_Obool)), _u20075), hAPP(hAPP(c_COMBB(tc_fun(_u20073, tc_HOL_Obool), tc_fun(_u20072, tc_HOL_Obool), _u20076), c_Relation_OImage(_u20073, _u20072, _u20074)), _u20077))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_total__on__diff__Id ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_total__on__diff__Id-1, axiom, ( ~c_Relation_Ototal__on(_u20081, _u20083, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u20081, _u20081), tc_HOL_Obool)), _u20085), c_Relation_OId(_u20081))) | c_Relation_Ototal__on(_u20081, _u20083, _u20085) )).
% 39.89/40.11 cnf(fact_total__on__diff__Id-2, axiom, ( ~c_Relation_Ototal__on(_u20082, _u20084, _u20086) | c_Relation_Ototal__on(_u20082, _u20084, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u20082, _u20082), tc_HOL_Obool)), _u20086), c_Relation_OId(_u20082))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_single__valued__Id ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_single__valued__Id-1, axiom, ( c_Relation_Osingle__valued(_u20087, _u20087, c_Relation_OId(_u20087)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_total__on__converse ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_total__on__converse-1, axiom, ( ~c_Relation_Ototal__on(_u20091, _u20093, hAPP(c_Relation_Oconverse(_u20091, _u20091), _u20095)) | c_Relation_Ototal__on(_u20091, _u20093, _u20095) )).
% 39.89/40.11 cnf(fact_total__on__converse-2, axiom, ( ~c_Relation_Ototal__on(_u20092, _u20094, _u20096) | c_Relation_Ototal__on(_u20092, _u20094, hAPP(c_Relation_Oconverse(_u20092, _u20092), _u20096)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_single__valued__rel__comp ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_single__valued__rel__comp-1, axiom, ( ~c_Relation_Osingle__valued(_u20097, _u20098, _u20099) | ~c_Relation_Osingle__valued(_u20098, _u20100, _u20101) | c_Relation_Osingle__valued(_u20097, _u20100, hAPP(hAPP(c_Relation_Orel__comp(_u20097, _u20098, _u20100), _u20099), _u20101)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_single__valued__Id__on ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_single__valued__Id__on-1, axiom, ( c_Relation_Osingle__valued(_u20102, _u20102, c_Relation_OId__on(_u20102, _u20103)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_total__on__empty ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_total__on__empty-1, axiom, ( c_Relation_Ototal__on(_u20104, c_Orderings_Obot__class_Obot(tc_fun(_u20104, tc_HOL_Obool)), _u20105) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_single__valued__subset ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_single__valued__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u20106, _u20107), tc_HOL_Obool)), _u20108), _u20109)) | ~c_Relation_Osingle__valued(_u20106, _u20107, _u20109) | c_Relation_Osingle__valued(_u20106, _u20107, _u20108) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_single__valuedD ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_single__valuedD-1, axiom, ( ~c_Relation_Osingle__valued(_u20110, _u20111, _u20112) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20110, _u20111)), hAPP(hAPP(c_Product__Type_OPair(_u20110, _u20111), _u20113), _u20114)), _u20112)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20110, _u20111)), hAPP(hAPP(c_Product__Type_OPair(_u20110, _u20111), _u20113), _u20115)), _u20112)) | ( _u20114 = _u20115) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_single__valued__def ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_single__valued__def-1, axiom, ( ~c_Relation_Osingle__valued(_u20125, _u20127, _u20129) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20125, _u20127)), hAPP(hAPP(c_Product__Type_OPair(_u20125, _u20127), _u20118), _u20117)), _u20129)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20125, _u20127)), hAPP(hAPP(c_Product__Type_OPair(_u20125, _u20127), _u20118), _u20116)), _u20129)) | ( _u20117 = _u20116) )).
% 39.89/40.11 cnf(fact_single__valued__def-2, axiom, ( c_Relation_Osingle__valued(_u20126, _u20128, _u20130) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20126, _u20128)), hAPP(hAPP(c_Product__Type_OPair(_u20126, _u20128), skolem496(_u20130, _u20128, _u20126)), skolem497(_u20130, _u20128, _u20126))), _u20130)) )).
% 39.89/40.11 cnf(fact_single__valued__def-3, axiom, ( c_Relation_Osingle__valued(_u20126, _u20128, _u20130) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20126, _u20128)), hAPP(hAPP(c_Product__Type_OPair(_u20126, _u20128), skolem496(_u20130, _u20128, _u20126)), skolem498(_u20130, _u20128, _u20126))), _u20130)) )).
% 39.89/40.11 cnf(fact_single__valued__def-4, axiom, ( c_Relation_Osingle__valued(_u20126, _u20128, _u20130) | ( skolem497(_u20130, _u20128, _u20126) != skolem498(_u20130, _u20128, _u20126)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_total__on__def ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_total__on__def-1, axiom, ( ~c_Relation_Ototal__on(_u20138, _u20140, _u20142) | ~hBOOL(hAPP(hAPP(c_member(_u20138), _u20132), _u20140)) | ~hBOOL(hAPP(hAPP(c_member(_u20138), _u20131), _u20140)) | ( _u20132 = _u20131) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20138, _u20138)), hAPP(hAPP(c_Product__Type_OPair(_u20138, _u20138), _u20132), _u20131)), _u20142)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20138, _u20138)), hAPP(hAPP(c_Product__Type_OPair(_u20138, _u20138), _u20131), _u20132)), _u20142)) )).
% 39.89/40.11 cnf(fact_total__on__def-2, axiom, ( c_Relation_Ototal__on(_u20139, _u20141, _u20143) | hBOOL(hAPP(hAPP(c_member(_u20139), skolem499(_u20143, _u20141, _u20139)), _u20141)) )).
% 39.89/40.11 cnf(fact_total__on__def-3, axiom, ( c_Relation_Ototal__on(_u20139, _u20141, _u20143) | hBOOL(hAPP(hAPP(c_member(_u20139), skolem500(_u20143, _u20141, _u20139)), _u20141)) )).
% 39.89/40.11 cnf(fact_total__on__def-4, axiom, ( c_Relation_Ototal__on(_u20139, _u20141, _u20143) | ( skolem499(_u20143, _u20141, _u20139) != skolem500(_u20143, _u20141, _u20139)) )).
% 39.89/40.11 cnf(fact_total__on__def-5, axiom, ( c_Relation_Ototal__on(_u20139, _u20141, _u20143) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20139, _u20139)), hAPP(hAPP(c_Product__Type_OPair(_u20139, _u20139), skolem499(_u20143, _u20141, _u20139)), skolem500(_u20143, _u20141, _u20139))), _u20143)) )).
% 39.89/40.11 cnf(fact_total__on__def-6, axiom, ( c_Relation_Ototal__on(_u20139, _u20141, _u20143) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20139, _u20139)), hAPP(hAPP(c_Product__Type_OPair(_u20139, _u20139), skolem500(_u20143, _u20141, _u20139)), skolem499(_u20143, _u20141, _u20139))), _u20143)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_single__valued__confluent ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_single__valued__confluent-1, axiom, ( ~c_Relation_Osingle__valued(_u20144, _u20144, _u20145) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20144, _u20144)), hAPP(hAPP(c_Product__Type_OPair(_u20144, _u20144), _u20146), _u20147)), c_Transitive__Closure_Ortrancl(_u20144, _u20145))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20144, _u20144)), hAPP(hAPP(c_Product__Type_OPair(_u20144, _u20144), _u20146), _u20148)), c_Transitive__Closure_Ortrancl(_u20144, _u20145))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20144, _u20144)), hAPP(hAPP(c_Product__Type_OPair(_u20144, _u20144), _u20147), _u20148)), c_Transitive__Closure_Ortrancl(_u20144, _u20145))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20144, _u20144)), hAPP(hAPP(c_Product__Type_OPair(_u20144, _u20144), _u20148), _u20147)), c_Transitive__Closure_Ortrancl(_u20144, _u20145))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_Image__Int__eq ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_Image__Int__eq-1, axiom, ( ~c_Relation_Osingle__valued(_u20149, _u20150, hAPP(c_Relation_Oconverse(_u20150, _u20149), _u20151)) | ( hAPP(c_Relation_OImage(_u20150, _u20149, _u20151), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u20150, tc_HOL_Obool)), _u20152), _u20153)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u20149, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u20150, _u20149, _u20151), _u20152)), hAPP(c_Relation_OImage(_u20150, _u20149, _u20151), _u20153))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_rtrancl__imp__UN__rel__pow ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_rtrancl__imp__UN__rel__pow-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20154, _u20154)), _u20155), c_Transitive__Closure_Ortrancl(_u20154, _u20156))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20154, _u20154)), _u20155), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_prod(_u20154, _u20154), 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(_u20154, _u20154), tc_HOL_Obool), tc_fun(tc_prod(_u20154, _u20154), tc_HOL_Obool)), c_Nat_Ocompow(tc_prod(_u20154, _u20154), tc_HOL_Obool)), _u20156)))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_acyclicI ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_acyclicI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u20158, _u20158)), hAPP(hAPP(c_Product__Type_OPair(_u20158, _u20158), skolem501(_u20159, _u20158)), skolem501(_u20159, _u20158))), c_Transitive__Closure_Otrancl(_u20158, _u20159))) | c_Wellfounded_Oacyclic(_u20158, _u20159) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_single__valued__rel__pow ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_single__valued__rel__pow-1, axiom, ( ~c_Relation_Osingle__valued(_u20160, _u20160, _u20161) | c_Relation_Osingle__valued(_u20160, _u20160, hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20160, _u20160), tc_HOL_Obool), _u20162), _u20161)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_funpow_Osimps_I2_J ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_funpow_Osimps_I2_J-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(_u20163, _u20163), hAPP(c_Nat_OSuc, _u20164)), _u20165) = hAPP(c_Fun_Ocomp(_u20163, _u20163, _u20163, _u20165), hAPP(hAPP(c_Nat_Ocompow(_u20163, _u20163), _u20164), _u20165))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_funpow__add ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_funpow__add-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(_u20166, _u20166), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u20167), _u20168)), _u20169) = hAPP(c_Fun_Ocomp(_u20166, _u20166, _u20166, hAPP(hAPP(c_Nat_Ocompow(_u20166, _u20166), _u20167), _u20169)), hAPP(hAPP(c_Nat_Ocompow(_u20166, _u20166), _u20168), _u20169))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_comp__funpow ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_comp__funpow-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_fun(_u20170, _u20171), tc_fun(_u20170, _u20171)), _u20172), c_Fun_Ocomp(_u20171, _u20171, _u20170, _u20173)) = c_Fun_Ocomp(_u20171, _u20171, _u20170, hAPP(hAPP(c_Nat_Ocompow(_u20171, _u20171), _u20172), _u20173))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_wf__exp ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_wf__exp-1, axiom, ( ~c_Wellfounded_Owf(_u20174, hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20174, _u20174), tc_HOL_Obool), _u20175), _u20176)) | c_Wellfounded_Owf(_u20174, _u20176) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_funpow__swap1 ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_funpow__swap1-1, axiom, ( ( hAPP(_u20177, hAPP(hAPP(hAPP(c_Nat_Ocompow(_u20178, _u20178), _u20179), _u20177), _u20180)) = hAPP(hAPP(hAPP(c_Nat_Ocompow(_u20178, _u20178), _u20179), _u20177), hAPP(_u20177, _u20180))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_funpow__mult ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_funpow__mult-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(_u20181, _u20181), _u20182), hAPP(hAPP(c_Nat_Ocompow(_u20181, _u20181), _u20183), _u20184)) = hAPP(hAPP(c_Nat_Ocompow(_u20181, _u20181), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20183), _u20182)), _u20184)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_rel__pow__commute ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_rel__pow__commute-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u20185, _u20185, _u20185), _u20186), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20185, _u20185), tc_HOL_Obool), _u20187), _u20186)) = hAPP(hAPP(c_Relation_Orel__comp(_u20185, _u20185, _u20185), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20185, _u20185), tc_HOL_Obool), _u20187), _u20186)), _u20186)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_relpow_Osimps_I2_J ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_relpow_Osimps_I2_J-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20188, _u20188), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u20189)), _u20190) = hAPP(hAPP(c_Relation_Orel__comp(_u20188, _u20188, _u20188), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20188, _u20188), tc_HOL_Obool), _u20189), _u20190)), _u20190)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_rel__pow__1 ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_rel__pow__1-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20191, _u20191), tc_HOL_Obool), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u20192) = _u20192) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_rel__pow__add ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_rel__pow__add-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20193, _u20193), tc_HOL_Obool), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u20194), _u20195)), _u20196) = hAPP(hAPP(c_Relation_Orel__comp(_u20193, _u20193, _u20193), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20193, _u20193), tc_HOL_Obool), _u20194), _u20196)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20193, _u20193), tc_HOL_Obool), _u20195), _u20196))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_rel__pow__Suc__I ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_rel__pow__Suc__I-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20197, _u20197)), hAPP(hAPP(c_Product__Type_OPair(_u20197, _u20197), _u20198), _u20199)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20197, _u20197), tc_HOL_Obool), _u20200), _u20201))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20197, _u20197)), hAPP(hAPP(c_Product__Type_OPair(_u20197, _u20197), _u20199), _u20202)), _u20201)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20197, _u20197)), hAPP(hAPP(c_Product__Type_OPair(_u20197, _u20197), _u20198), _u20202)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20197, _u20197), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u20200)), _u20201))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_rel__pow__Suc__I2 ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_rel__pow__Suc__I2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20203, _u20203)), hAPP(hAPP(c_Product__Type_OPair(_u20203, _u20203), _u20204), _u20205)), _u20206)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20203, _u20203)), hAPP(hAPP(c_Product__Type_OPair(_u20203, _u20203), _u20205), _u20207)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20203, _u20203), tc_HOL_Obool), _u20208), _u20206))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20203, _u20203)), hAPP(hAPP(c_Product__Type_OPair(_u20203, _u20203), _u20204), _u20207)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20203, _u20203), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u20208)), _u20206))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_rel__pow__0__E ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_rel__pow__0__E-1, axiom, ( ( _u20210 = _u20211) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20209, _u20209)), hAPP(hAPP(c_Product__Type_OPair(_u20209, _u20209), _u20210), _u20211)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20209, _u20209), tc_HOL_Obool), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u20212))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_rel__pow__0__I ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_rel__pow__0__I-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u20213, _u20213)), hAPP(hAPP(c_Product__Type_OPair(_u20213, _u20213), _u20214), _u20214)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20213, _u20213), tc_HOL_Obool), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u20215))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_rtrancl__power ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_rtrancl__power-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20221, _u20221)), _u20223), c_Transitive__Closure_Ortrancl(_u20221, _u20225))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20221, _u20221)), _u20223), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20221, _u20221), tc_HOL_Obool), skolem502(_u20225, _u20223, _u20221)), _u20225))) )).
% 39.89/40.11 cnf(fact_rtrancl__power-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20222, _u20222)), _u20224), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20222, _u20222), tc_HOL_Obool), _u20217), _u20226))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20222, _u20222)), _u20224), c_Transitive__Closure_Ortrancl(_u20222, _u20226))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_rel__pow__imp__rtrancl ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_rel__pow__imp__rtrancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20227, _u20227)), _u20228), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20227, _u20227), tc_HOL_Obool), _u20229), _u20230))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20227, _u20227)), _u20228), c_Transitive__Closure_Ortrancl(_u20227, _u20230))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_relpow_Osimps_I1_J ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_relpow_Osimps_I1_J-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20231, _u20231), tc_HOL_Obool), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u20232) = c_Relation_OId(_u20231)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_funpow_Osimps_I1_J ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_funpow_Osimps_I1_J-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(_u20233, _u20233), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u20234) = c_Fun_Oid(_u20233)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_trancl__power ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_trancl__power-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20240, _u20240)), _u20242), c_Transitive__Closure_Otrancl(_u20240, _u20244))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem503(_u20244, _u20242, _u20240))) )).
% 39.89/40.11 cnf(fact_trancl__power-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20240, _u20240)), _u20242), c_Transitive__Closure_Otrancl(_u20240, _u20244))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20240, _u20240)), _u20242), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20240, _u20240), tc_HOL_Obool), skolem503(_u20244, _u20242, _u20240)), _u20244))) )).
% 39.89/40.11 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)), _u20236)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20241, _u20241)), _u20243), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20241, _u20241), tc_HOL_Obool), _u20236), _u20245))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20241, _u20241)), _u20243), c_Transitive__Closure_Otrancl(_u20241, _u20245))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_rtrancl__is__UN__rel__pow ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_rtrancl__is__UN__rel__pow-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u20246, _u20247) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_prod(_u20246, _u20246), 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(_u20246, _u20246), tc_HOL_Obool), tc_fun(tc_prod(_u20246, _u20246), tc_HOL_Obool)), c_Nat_Ocompow(tc_prod(_u20246, _u20246), tc_HOL_Obool)), _u20247))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_funpow__code__def ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_funpow__code__def-1, axiom, ( ( c_Nat_Ofunpow(_u20248) = c_Nat_Ocompow(_u20248, _u20248)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_rel__pow__E ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_rel__pow__E-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20251, _u20251)), hAPP(hAPP(c_Product__Type_OPair(_u20251, _u20251), _u20252), _u20253)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20251, _u20251), tc_HOL_Obool), _u20254), _u20255))) | ( _u20254 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u20254 = hAPP(c_Nat_OSuc, skolem505(_u20255, _u20254, _u20253, _u20252, _u20251))) )).
% 39.89/40.11 cnf(fact_rel__pow__E-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20251, _u20251)), hAPP(hAPP(c_Product__Type_OPair(_u20251, _u20251), _u20252), _u20253)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20251, _u20251), tc_HOL_Obool), _u20254), _u20255))) | ( _u20254 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20251, _u20251)), hAPP(hAPP(c_Product__Type_OPair(_u20251, _u20251), _u20252), skolem504(_u20255, _u20254, _u20253, _u20252, _u20251))), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20251, _u20251), tc_HOL_Obool), skolem505(_u20255, _u20254, _u20253, _u20252, _u20251)), _u20255))) )).
% 39.89/40.11 cnf(fact_rel__pow__E-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20251, _u20251)), hAPP(hAPP(c_Product__Type_OPair(_u20251, _u20251), _u20252), _u20253)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20251, _u20251), tc_HOL_Obool), _u20254), _u20255))) | ( _u20254 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20251, _u20251)), hAPP(hAPP(c_Product__Type_OPair(_u20251, _u20251), skolem504(_u20255, _u20254, _u20253, _u20252, _u20251)), _u20253)), _u20255)) )).
% 39.89/40.11 cnf(fact_rel__pow__E-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20251, _u20251)), hAPP(hAPP(c_Product__Type_OPair(_u20251, _u20251), _u20252), _u20253)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20251, _u20251), tc_HOL_Obool), _u20254), _u20255))) | ( _u20252 = _u20253) | ( _u20254 = hAPP(c_Nat_OSuc, skolem505(_u20255, _u20254, _u20253, _u20252, _u20251))) )).
% 39.89/40.11 cnf(fact_rel__pow__E-5, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20251, _u20251)), hAPP(hAPP(c_Product__Type_OPair(_u20251, _u20251), _u20252), _u20253)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20251, _u20251), tc_HOL_Obool), _u20254), _u20255))) | ( _u20252 = _u20253) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20251, _u20251)), hAPP(hAPP(c_Product__Type_OPair(_u20251, _u20251), _u20252), skolem504(_u20255, _u20254, _u20253, _u20252, _u20251))), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20251, _u20251), tc_HOL_Obool), skolem505(_u20255, _u20254, _u20253, _u20252, _u20251)), _u20255))) )).
% 39.89/40.11 cnf(fact_rel__pow__E-6, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20251, _u20251)), hAPP(hAPP(c_Product__Type_OPair(_u20251, _u20251), _u20252), _u20253)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20251, _u20251), tc_HOL_Obool), _u20254), _u20255))) | ( _u20252 = _u20253) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20251, _u20251)), hAPP(hAPP(c_Product__Type_OPair(_u20251, _u20251), skolem504(_u20255, _u20254, _u20253, _u20252, _u20251)), _u20253)), _u20255)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_rotate__def ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_rotate__def-1, axiom, ( ( c_List_Orotate(_u20256, _u20257) = hAPP(hAPP(c_Nat_Ocompow(tc_List_Olist(_u20256), tc_List_Olist(_u20256)), _u20257), c_List_Orotate1(_u20256))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_rel__pow__E2 ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_rel__pow__E2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20260, _u20260)), hAPP(hAPP(c_Product__Type_OPair(_u20260, _u20260), _u20261), _u20262)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20260, _u20260), tc_HOL_Obool), _u20263), _u20264))) | ( _u20263 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u20263 = hAPP(c_Nat_OSuc, skolem507(_u20264, _u20263, _u20262, _u20261, _u20260))) )).
% 39.89/40.11 cnf(fact_rel__pow__E2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20260, _u20260)), hAPP(hAPP(c_Product__Type_OPair(_u20260, _u20260), _u20261), _u20262)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20260, _u20260), tc_HOL_Obool), _u20263), _u20264))) | ( _u20263 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20260, _u20260)), hAPP(hAPP(c_Product__Type_OPair(_u20260, _u20260), _u20261), skolem506(_u20264, _u20263, _u20262, _u20261, _u20260))), _u20264)) )).
% 39.89/40.11 cnf(fact_rel__pow__E2-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20260, _u20260)), hAPP(hAPP(c_Product__Type_OPair(_u20260, _u20260), _u20261), _u20262)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20260, _u20260), tc_HOL_Obool), _u20263), _u20264))) | ( _u20263 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20260, _u20260)), hAPP(hAPP(c_Product__Type_OPair(_u20260, _u20260), skolem506(_u20264, _u20263, _u20262, _u20261, _u20260)), _u20262)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20260, _u20260), tc_HOL_Obool), skolem507(_u20264, _u20263, _u20262, _u20261, _u20260)), _u20264))) )).
% 39.89/40.11 cnf(fact_rel__pow__E2-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20260, _u20260)), hAPP(hAPP(c_Product__Type_OPair(_u20260, _u20260), _u20261), _u20262)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20260, _u20260), tc_HOL_Obool), _u20263), _u20264))) | ( _u20261 = _u20262) | ( _u20263 = hAPP(c_Nat_OSuc, skolem507(_u20264, _u20263, _u20262, _u20261, _u20260))) )).
% 39.89/40.11 cnf(fact_rel__pow__E2-5, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20260, _u20260)), hAPP(hAPP(c_Product__Type_OPair(_u20260, _u20260), _u20261), _u20262)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20260, _u20260), tc_HOL_Obool), _u20263), _u20264))) | ( _u20261 = _u20262) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20260, _u20260)), hAPP(hAPP(c_Product__Type_OPair(_u20260, _u20260), _u20261), skolem506(_u20264, _u20263, _u20262, _u20261, _u20260))), _u20264)) )).
% 39.89/40.11 cnf(fact_rel__pow__E2-6, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20260, _u20260)), hAPP(hAPP(c_Product__Type_OPair(_u20260, _u20260), _u20261), _u20262)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20260, _u20260), tc_HOL_Obool), _u20263), _u20264))) | ( _u20261 = _u20262) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20260, _u20260)), hAPP(hAPP(c_Product__Type_OPair(_u20260, _u20260), skolem506(_u20264, _u20263, _u20262, _u20261, _u20260)), _u20262)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20260, _u20260), tc_HOL_Obool), skolem507(_u20264, _u20263, _u20262, _u20261, _u20260)), _u20264))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_pos__not__random__dseq__def ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_pos__not__random__dseq__def-1, axiom, ( ( c_New__Random__Sequence_Opos__not__random__dseq(_u20265, _u20266, _u20267, _u20268) = c_New__DSequence_Opos__not__seq(hAPP(hAPP(hAPP(_u20265, _u20266), _u20267), _u20268))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_rtrancl__Un__separatorE ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_rtrancl__Un__separatorE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20271, _u20271)), hAPP(hAPP(c_Product__Type_OPair(_u20271, _u20271), _u20272), _u20273)), c_Transitive__Closure_Ortrancl(_u20271, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u20271, _u20271), tc_HOL_Obool)), _u20274), _u20275)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20271, _u20271)), hAPP(hAPP(c_Product__Type_OPair(_u20271, _u20271), _u20272), _u20273)), c_Transitive__Closure_Ortrancl(_u20271, _u20274))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20271, _u20271)), hAPP(hAPP(c_Product__Type_OPair(_u20271, _u20271), _u20272), skolem508(_u20275, _u20274, _u20273, _u20272, _u20271))), c_Transitive__Closure_Ortrancl(_u20271, _u20274))) )).
% 39.89/40.11 cnf(fact_rtrancl__Un__separatorE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20271, _u20271)), hAPP(hAPP(c_Product__Type_OPair(_u20271, _u20271), _u20272), _u20273)), c_Transitive__Closure_Ortrancl(_u20271, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u20271, _u20271), tc_HOL_Obool)), _u20274), _u20275)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20271, _u20271)), hAPP(hAPP(c_Product__Type_OPair(_u20271, _u20271), _u20272), _u20273)), c_Transitive__Closure_Ortrancl(_u20271, _u20274))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20271, _u20271)), hAPP(hAPP(c_Product__Type_OPair(_u20271, _u20271), skolem508(_u20275, _u20274, _u20273, _u20272, _u20271)), skolem509(_u20275, _u20274, _u20273, _u20272, _u20271))), _u20275)) )).
% 39.89/40.11 cnf(fact_rtrancl__Un__separatorE-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20271, _u20271)), hAPP(hAPP(c_Product__Type_OPair(_u20271, _u20271), _u20272), _u20273)), c_Transitive__Closure_Ortrancl(_u20271, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u20271, _u20271), tc_HOL_Obool)), _u20274), _u20275)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20271, _u20271)), hAPP(hAPP(c_Product__Type_OPair(_u20271, _u20271), _u20272), _u20273)), c_Transitive__Closure_Ortrancl(_u20271, _u20274))) | ( skolem508(_u20275, _u20274, _u20273, _u20272, _u20271) != skolem509(_u20275, _u20274, _u20273, _u20272, _u20271)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_rtrancl__Un__separator__converseE ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_rtrancl__Un__separator__converseE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20278, _u20278)), hAPP(hAPP(c_Product__Type_OPair(_u20278, _u20278), _u20279), _u20280)), c_Transitive__Closure_Ortrancl(_u20278, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u20278, _u20278), tc_HOL_Obool)), _u20281), _u20282)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20278, _u20278)), hAPP(hAPP(c_Product__Type_OPair(_u20278, _u20278), _u20279), _u20280)), c_Transitive__Closure_Ortrancl(_u20278, _u20281))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20278, _u20278)), hAPP(hAPP(c_Product__Type_OPair(_u20278, _u20278), skolem510(_u20282, _u20281, _u20280, _u20279, _u20278)), _u20280)), c_Transitive__Closure_Ortrancl(_u20278, _u20281))) )).
% 39.89/40.11 cnf(fact_rtrancl__Un__separator__converseE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20278, _u20278)), hAPP(hAPP(c_Product__Type_OPair(_u20278, _u20278), _u20279), _u20280)), c_Transitive__Closure_Ortrancl(_u20278, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u20278, _u20278), tc_HOL_Obool)), _u20281), _u20282)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20278, _u20278)), hAPP(hAPP(c_Product__Type_OPair(_u20278, _u20278), _u20279), _u20280)), c_Transitive__Closure_Ortrancl(_u20278, _u20281))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20278, _u20278)), hAPP(hAPP(c_Product__Type_OPair(_u20278, _u20278), skolem511(_u20282, _u20281, _u20280, _u20279, _u20278)), skolem510(_u20282, _u20281, _u20280, _u20279, _u20278))), _u20282)) )).
% 39.89/40.11 cnf(fact_rtrancl__Un__separator__converseE-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20278, _u20278)), hAPP(hAPP(c_Product__Type_OPair(_u20278, _u20278), _u20279), _u20280)), c_Transitive__Closure_Ortrancl(_u20278, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u20278, _u20278), tc_HOL_Obool)), _u20281), _u20282)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20278, _u20278)), hAPP(hAPP(c_Product__Type_OPair(_u20278, _u20278), _u20279), _u20280)), c_Transitive__Closure_Ortrancl(_u20278, _u20281))) | ( skolem511(_u20282, _u20281, _u20280, _u20279, _u20278) != skolem510(_u20282, _u20281, _u20280, _u20279, _u20278)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_rel__pow__Suc__D2 ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_rel__pow__Suc__D2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20284, _u20284)), hAPP(hAPP(c_Product__Type_OPair(_u20284, _u20284), _u20285), _u20286)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20284, _u20284), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u20287)), _u20288))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20284, _u20284)), hAPP(hAPP(c_Product__Type_OPair(_u20284, _u20284), _u20285), skolem512(_u20288, _u20287, _u20286, _u20285, _u20284))), _u20288)) )).
% 39.89/40.11 cnf(fact_rel__pow__Suc__D2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20284, _u20284)), hAPP(hAPP(c_Product__Type_OPair(_u20284, _u20284), _u20285), _u20286)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20284, _u20284), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u20287)), _u20288))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20284, _u20284)), hAPP(hAPP(c_Product__Type_OPair(_u20284, _u20284), skolem512(_u20288, _u20287, _u20286, _u20285, _u20284)), _u20286)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20284, _u20284), tc_HOL_Obool), _u20287), _u20288))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_rel__pow__Suc__E2 ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_rel__pow__Suc__E2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20290, _u20290)), hAPP(hAPP(c_Product__Type_OPair(_u20290, _u20290), _u20291), _u20292)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20290, _u20290), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u20293)), _u20294))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20290, _u20290)), hAPP(hAPP(c_Product__Type_OPair(_u20290, _u20290), _u20291), skolem513(_u20294, _u20293, _u20292, _u20291, _u20290))), _u20294)) )).
% 39.89/40.11 cnf(fact_rel__pow__Suc__E2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20290, _u20290)), hAPP(hAPP(c_Product__Type_OPair(_u20290, _u20290), _u20291), _u20292)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20290, _u20290), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u20293)), _u20294))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20290, _u20290)), hAPP(hAPP(c_Product__Type_OPair(_u20290, _u20290), skolem513(_u20294, _u20293, _u20292, _u20291, _u20290)), _u20292)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20290, _u20290), tc_HOL_Obool), _u20293), _u20294))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_rel__pow__Suc__E ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_rel__pow__Suc__E-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20296, _u20296)), hAPP(hAPP(c_Product__Type_OPair(_u20296, _u20296), _u20297), _u20298)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20296, _u20296), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u20299)), _u20300))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20296, _u20296)), hAPP(hAPP(c_Product__Type_OPair(_u20296, _u20296), _u20297), skolem514(_u20300, _u20299, _u20298, _u20297, _u20296))), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20296, _u20296), tc_HOL_Obool), _u20299), _u20300))) )).
% 39.89/40.11 cnf(fact_rel__pow__Suc__E-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20296, _u20296)), hAPP(hAPP(c_Product__Type_OPair(_u20296, _u20296), _u20297), _u20298)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20296, _u20296), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u20299)), _u20300))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20296, _u20296)), hAPP(hAPP(c_Product__Type_OPair(_u20296, _u20296), skolem514(_u20300, _u20299, _u20298, _u20297, _u20296)), _u20298)), _u20300)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_tranclD2 ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_tranclD2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20302, _u20302)), hAPP(hAPP(c_Product__Type_OPair(_u20302, _u20302), _u20303), _u20304)), c_Transitive__Closure_Otrancl(_u20302, _u20305))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20302, _u20302)), hAPP(hAPP(c_Product__Type_OPair(_u20302, _u20302), _u20303), skolem515(_u20305, _u20304, _u20303, _u20302))), c_Transitive__Closure_Ortrancl(_u20302, _u20305))) )).
% 39.89/40.11 cnf(fact_tranclD2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20302, _u20302)), hAPP(hAPP(c_Product__Type_OPair(_u20302, _u20302), _u20303), _u20304)), c_Transitive__Closure_Otrancl(_u20302, _u20305))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20302, _u20302)), hAPP(hAPP(c_Product__Type_OPair(_u20302, _u20302), skolem515(_u20305, _u20304, _u20303, _u20302)), _u20304)), _u20305)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_tranclD ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_tranclD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20307, _u20307)), hAPP(hAPP(c_Product__Type_OPair(_u20307, _u20307), _u20308), _u20309)), c_Transitive__Closure_Otrancl(_u20307, _u20310))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20307, _u20307)), hAPP(hAPP(c_Product__Type_OPair(_u20307, _u20307), _u20308), skolem516(_u20310, _u20309, _u20308, _u20307))), _u20310)) )).
% 39.89/40.11 cnf(fact_tranclD-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20307, _u20307)), hAPP(hAPP(c_Product__Type_OPair(_u20307, _u20307), _u20308), _u20309)), c_Transitive__Closure_Otrancl(_u20307, _u20310))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20307, _u20307)), hAPP(hAPP(c_Product__Type_OPair(_u20307, _u20307), skolem516(_u20310, _u20309, _u20308, _u20307)), _u20309)), c_Transitive__Closure_Ortrancl(_u20307, _u20310))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_IdE ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_IdE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20312, _u20312)), _u20313), c_Relation_OId(_u20312))) | ( _u20313 = hAPP(hAPP(c_Product__Type_OPair(_u20312, _u20312), skolem517(_u20313, _u20312)), skolem517(_u20313, _u20312))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_nat__intermed__int__val ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_nat__intermed__int__val-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20316), skolem518(_u20319, _u20318, _u20317, _u20316))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20316), _u20317)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u20318, _u20316)), _u20319)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u20319), hAPP(_u20318, _u20317))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20316), skolem519(_u20319, _u20318, _u20317, _u20316))) )).
% 39.89/40.11 cnf(fact_nat__intermed__int__val-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20316), skolem518(_u20319, _u20318, _u20317, _u20316))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20316), _u20317)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u20318, _u20316)), _u20319)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u20319), hAPP(_u20318, _u20317))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem519(_u20319, _u20318, _u20317, _u20316)), _u20317)) )).
% 39.89/40.11 cnf(fact_nat__intermed__int__val-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20316), skolem518(_u20319, _u20318, _u20317, _u20316))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20316), _u20317)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u20318, _u20316)), _u20319)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u20319), hAPP(_u20318, _u20317))) | ( hAPP(_u20318, skolem519(_u20319, _u20318, _u20317, _u20316)) = _u20319) )).
% 39.89/40.11 cnf(fact_nat__intermed__int__val-4, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem518(_u20319, _u20318, _u20317, _u20316)), _u20317)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20316), _u20317)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u20318, _u20316)), _u20319)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u20319), hAPP(_u20318, _u20317))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20316), skolem519(_u20319, _u20318, _u20317, _u20316))) )).
% 39.89/40.11 cnf(fact_nat__intermed__int__val-5, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem518(_u20319, _u20318, _u20317, _u20316)), _u20317)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20316), _u20317)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u20318, _u20316)), _u20319)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u20319), hAPP(_u20318, _u20317))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem519(_u20319, _u20318, _u20317, _u20316)), _u20317)) )).
% 39.89/40.11 cnf(fact_nat__intermed__int__val-6, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem518(_u20319, _u20318, _u20317, _u20316)), _u20317)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20316), _u20317)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u20318, _u20316)), _u20319)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u20319), hAPP(_u20318, _u20317))) | ( hAPP(_u20318, skolem519(_u20319, _u20318, _u20317, _u20316)) = _u20319) )).
% 39.89/40.11 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(_u20318, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem518(_u20319, _u20318, _u20317, _u20316)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u20318, skolem518(_u20319, _u20318, _u20317, _u20316))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20316), _u20317)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u20318, _u20316)), _u20319)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u20319), hAPP(_u20318, _u20317))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20316), skolem519(_u20319, _u20318, _u20317, _u20316))) )).
% 39.89/40.11 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(_u20318, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem518(_u20319, _u20318, _u20317, _u20316)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u20318, skolem518(_u20319, _u20318, _u20317, _u20316))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20316), _u20317)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u20318, _u20316)), _u20319)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u20319), hAPP(_u20318, _u20317))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem519(_u20319, _u20318, _u20317, _u20316)), _u20317)) )).
% 39.89/40.11 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(_u20318, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem518(_u20319, _u20318, _u20317, _u20316)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u20318, skolem518(_u20319, _u20318, _u20317, _u20316))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20316), _u20317)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u20318, _u20316)), _u20319)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u20319), hAPP(_u20318, _u20317))) | ( hAPP(_u20318, skolem519(_u20319, _u20318, _u20317, _u20316)) = _u20319) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_in__set__conv__decomp ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_in__set__conv__decomp-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u20327), _u20329), hAPP(c_List_Oset(_u20327), _u20331))) | ( _u20331 = hAPP(hAPP(c_List_Oappend(_u20327), skolem520(_u20331, _u20329, _u20327)), hAPP(hAPP(c_List_Olist_OCons(_u20327), _u20329), skolem521(_u20331, _u20329, _u20327)))) )).
% 39.89/40.11 cnf(fact_in__set__conv__decomp-2, axiom, ( ( _u20332 != hAPP(hAPP(c_List_Oappend(_u20328), _u20323), hAPP(hAPP(c_List_Olist_OCons(_u20328), _u20330), _u20322))) | hBOOL(hAPP(hAPP(c_member(_u20328), _u20330), hAPP(c_List_Oset(_u20328), _u20332))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_in__set__conv__decomp__first ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_in__set__conv__decomp__first-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u20340), _u20342), hAPP(c_List_Oset(_u20340), _u20344))) | ( _u20344 = hAPP(hAPP(c_List_Oappend(_u20340), skolem522(_u20344, _u20342, _u20340)), hAPP(hAPP(c_List_Olist_OCons(_u20340), _u20342), skolem523(_u20344, _u20342, _u20340)))) )).
% 39.89/40.11 cnf(fact_in__set__conv__decomp__first-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u20340), _u20342), hAPP(c_List_Oset(_u20340), _u20344))) | ~hBOOL(hAPP(hAPP(c_member(_u20340), _u20342), hAPP(c_List_Oset(_u20340), skolem522(_u20344, _u20342, _u20340)))) )).
% 39.89/40.11 cnf(fact_in__set__conv__decomp__first-3, axiom, ( ( _u20345 != hAPP(hAPP(c_List_Oappend(_u20341), _u20336), hAPP(hAPP(c_List_Olist_OCons(_u20341), _u20343), _u20335))) | hBOOL(hAPP(hAPP(c_member(_u20341), _u20343), hAPP(c_List_Oset(_u20341), _u20336))) | hBOOL(hAPP(hAPP(c_member(_u20341), _u20343), hAPP(c_List_Oset(_u20341), _u20345))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_in__set__conv__decomp__last ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_in__set__conv__decomp__last-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u20353), _u20355), hAPP(c_List_Oset(_u20353), _u20357))) | ( _u20357 = hAPP(hAPP(c_List_Oappend(_u20353), skolem524(_u20357, _u20355, _u20353)), hAPP(hAPP(c_List_Olist_OCons(_u20353), _u20355), skolem525(_u20357, _u20355, _u20353)))) )).
% 39.89/40.11 cnf(fact_in__set__conv__decomp__last-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u20353), _u20355), hAPP(c_List_Oset(_u20353), _u20357))) | ~hBOOL(hAPP(hAPP(c_member(_u20353), _u20355), hAPP(c_List_Oset(_u20353), skolem525(_u20357, _u20355, _u20353)))) )).
% 39.89/40.11 cnf(fact_in__set__conv__decomp__last-3, axiom, ( ( _u20358 != hAPP(hAPP(c_List_Oappend(_u20354), _u20349), hAPP(hAPP(c_List_Olist_OCons(_u20354), _u20356), _u20348))) | hBOOL(hAPP(hAPP(c_member(_u20354), _u20356), hAPP(c_List_Oset(_u20354), _u20348))) | hBOOL(hAPP(hAPP(c_member(_u20354), _u20356), hAPP(c_List_Oset(_u20354), _u20358))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_min__max_OSup__fin_Oeq__fold_H ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_min__max_OSup__fin_Oeq__fold_H-1, axiom, ( ~class_Orderings_Olinorder(_u20359) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20359), _u20360)) | hBOOL(hAPP(hAPP(c_member(_u20359), _u20361), _u20360)) | ( c_Big__Operators_Olattice_OSup__fin(_u20359, c_Orderings_Oord__class_Omax(_u20359), hAPP(hAPP(c_Set_Oinsert(_u20359), _u20361), _u20360)) = hAPP(hAPP(c_Finite__Set_Ofold(_u20359, _u20359, c_Orderings_Oord__class_Omax(_u20359)), _u20361), _u20360)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_min__max_OInf__fin_Oeq__fold_H ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_min__max_OInf__fin_Oeq__fold_H-1, axiom, ( ~class_Orderings_Olinorder(_u20362) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20362), _u20363)) | hBOOL(hAPP(hAPP(c_member(_u20362), _u20364), _u20363)) | ( c_Big__Operators_Olattice_OInf__fin(_u20362, c_Orderings_Oord__class_Omin(_u20362), hAPP(hAPP(c_Set_Oinsert(_u20362), _u20364), _u20363)) = hAPP(hAPP(c_Finite__Set_Ofold(_u20362, _u20362, c_Orderings_Oord__class_Omin(_u20362)), _u20364), _u20363)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_sup__SUPR__fold__sup ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_sup__SUPR__fold__sup-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u20365) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20366), _u20367)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u20365), _u20368), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20366, _u20365), _u20367), _u20369)) = hAPP(hAPP(c_Finite__Set_Ofold(_u20366, _u20365, hAPP(hAPP(c_COMBB(_u20365, tc_fun(_u20365, _u20365), _u20366), c_Lattices_Osemilattice__sup__class_Osup(_u20365)), _u20369)), _u20368), _u20367)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_inf__INFI__fold__inf ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_inf__INFI__fold__inf-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u20370) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20371), _u20372)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u20370), _u20373), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20371, _u20370), _u20372), _u20374)) = hAPP(hAPP(c_Finite__Set_Ofold(_u20371, _u20370, hAPP(hAPP(c_COMBB(_u20370, tc_fun(_u20370, _u20370), _u20371), c_Lattices_Osemilattice__inf__class_Oinf(_u20370)), _u20374)), _u20373), _u20372)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_sup__Sup__fold__sup ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_sup__Sup__fold__sup-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u20375) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20375), _u20376)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u20375), _u20377), c_Complete__Lattice_OSup__class_OSup(_u20375, _u20376)) = hAPP(hAPP(c_Finite__Set_Ofold(_u20375, _u20375, c_Lattices_Osemilattice__sup__class_Osup(_u20375)), _u20377), _u20376)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_union__fold__insert ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_union__fold__insert-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20378), _u20379)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u20378, tc_HOL_Obool)), _u20379), _u20380) = hAPP(hAPP(c_Finite__Set_Ofold(_u20378, tc_fun(_u20378, tc_HOL_Obool), c_Set_Oinsert(_u20378)), _u20380), _u20379)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_fold__sup__insert ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_fold__sup__insert-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u20381) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20381), _u20382)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u20381, _u20381, c_Lattices_Osemilattice__sup__class_Osup(_u20381)), _u20383), hAPP(hAPP(c_Set_Oinsert(_u20381), _u20384), _u20382)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u20381), _u20384), hAPP(hAPP(c_Finite__Set_Ofold(_u20381, _u20381, c_Lattices_Osemilattice__sup__class_Osup(_u20381)), _u20383), _u20382))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_inf__Inf__fold__inf ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_inf__Inf__fold__inf-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u20385) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20385), _u20386)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u20385), _u20387), c_Complete__Lattice_OInf__class_OInf(_u20385, _u20386)) = hAPP(hAPP(c_Finite__Set_Ofold(_u20385, _u20385, c_Lattices_Osemilattice__inf__class_Oinf(_u20385)), _u20387), _u20386)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_fold__def ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_fold__def-1, axiom, ( ( hAPP(hAPP(c_Finite__Set_Ofold(_u20388, _u20389, _u20390), _u20391), _u20392) = c_HOL_OThe(_u20389, c_Finite__Set_Ofold__graph(_u20388, _u20389, _u20390, _u20391, _u20392))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_fold__empty ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_fold__empty-1, axiom, ( ( hAPP(hAPP(c_Finite__Set_Ofold(_u20393, _u20394, _u20395), _u20396), c_Orderings_Obot__class_Obot(tc_fun(_u20393, tc_HOL_Obool))) = _u20396) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_fold__image__def ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_fold__image__def-1, axiom, ( ( hAPP(c_Finite__Set_Ofold__image(_u20397, _u20398, _u20399), _u20400) = c_Finite__Set_Ofold(_u20398, _u20397, hAPP(hAPP(c_COMBB(_u20397, tc_fun(_u20397, _u20397), _u20398), _u20399), _u20400))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_folding_Oeq__fold ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_folding_Oeq__fold-1, axiom, ( ~c_Finite__Set_Ofolding(_u20401, _u20402, _u20403, _u20404) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20401), _u20405)) | ( hAPP(hAPP(_u20404, _u20405), _u20406) = hAPP(hAPP(c_Finite__Set_Ofold(_u20401, _u20402, _u20403), _u20406), _u20405)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_min__max_Ofold__sup__insert ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_min__max_Ofold__sup__insert-1, axiom, ( ~class_Orderings_Olinorder(_u20407) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20407), _u20408)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u20407, _u20407, c_Orderings_Oord__class_Omax(_u20407)), _u20409), hAPP(hAPP(c_Set_Oinsert(_u20407), _u20410), _u20408)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u20407), _u20410), hAPP(hAPP(c_Finite__Set_Ofold(_u20407, _u20407, c_Orderings_Oord__class_Omax(_u20407)), _u20409), _u20408))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_min__max_Ofold__inf__insert ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_min__max_Ofold__inf__insert-1, axiom, ( ~class_Orderings_Olinorder(_u20411) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20411), _u20412)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u20411, _u20411, c_Orderings_Oord__class_Omin(_u20411)), _u20413), hAPP(hAPP(c_Set_Oinsert(_u20411), _u20414), _u20412)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u20411), _u20414), hAPP(hAPP(c_Finite__Set_Ofold(_u20411, _u20411, c_Orderings_Oord__class_Omin(_u20411)), _u20413), _u20412))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_fold__inf__insert ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_fold__inf__insert-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u20415) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20415), _u20416)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u20415, _u20415, c_Lattices_Osemilattice__inf__class_Oinf(_u20415)), _u20417), hAPP(hAPP(c_Set_Oinsert(_u20415), _u20418), _u20416)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u20415), _u20418), hAPP(hAPP(c_Finite__Set_Ofold(_u20415, _u20415, c_Lattices_Osemilattice__inf__class_Oinf(_u20415)), _u20417), _u20416))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_fun__left__comm__idem_Ofold__insert__idem ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_fun__left__comm__idem_Ofold__insert__idem-1, axiom, ( ~c_Finite__Set_Ofun__left__comm__idem(_u20419, _u20420, _u20421) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20419), _u20422)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u20419, _u20420, _u20421), _u20423), hAPP(hAPP(c_Set_Oinsert(_u20419), _u20424), _u20422)) = hAPP(hAPP(_u20421, _u20424), hAPP(hAPP(c_Finite__Set_Ofold(_u20419, _u20420, _u20421), _u20423), _u20422))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_fun__left__comm__idem_Ofold__insert__idem2 ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_fun__left__comm__idem_Ofold__insert__idem2-1, axiom, ( ~c_Finite__Set_Ofun__left__comm__idem(_u20425, _u20426, _u20427) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20425), _u20428)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u20425, _u20426, _u20427), _u20429), hAPP(hAPP(c_Set_Oinsert(_u20425), _u20430), _u20428)) = hAPP(hAPP(c_Finite__Set_Ofold(_u20425, _u20426, _u20427), hAPP(hAPP(_u20427, _u20430), _u20429)), _u20428)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_folding__one__idem_Oeq__fold__idem_H ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_folding__one__idem_Oeq__fold__idem_H-1, axiom, ( ~c_Finite__Set_Ofolding__one__idem(_u20431, _u20432, _u20433) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20431), _u20434)) | ( hAPP(_u20433, hAPP(hAPP(c_Set_Oinsert(_u20431), _u20435), _u20434)) = hAPP(hAPP(c_Finite__Set_Ofold(_u20431, _u20431, _u20432), _u20435), _u20434)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_fun__left__comm__idem_Ofold__set ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_fun__left__comm__idem_Ofold__set-1, axiom, ( ~c_Finite__Set_Ofun__left__comm__idem(_u20436, _u20437, _u20438) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u20436, _u20437, _u20438), _u20439), hAPP(c_List_Oset(_u20436), _u20440)) = hAPP(c_List_Ofoldl(_u20437, _u20436, hAPP(c_COMBC(_u20436, _u20437, _u20437), _u20438), _u20439), _u20440)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_sup__le__fold__sup ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_sup__le__fold__sup-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u20441) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20441), _u20442)) | ~hBOOL(hAPP(hAPP(c_member(_u20441), _u20443), _u20442)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20441), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u20441), _u20443), _u20444)), hAPP(hAPP(c_Finite__Set_Ofold(_u20441, _u20441, c_Lattices_Osemilattice__sup__class_Osup(_u20441)), _u20444), _u20442))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_fold__inf__le__inf ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_fold__inf__le__inf-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u20445) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20445), _u20446)) | ~hBOOL(hAPP(hAPP(c_member(_u20445), _u20447), _u20446)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20445), hAPP(hAPP(c_Finite__Set_Ofold(_u20445, _u20445, c_Lattices_Osemilattice__inf__class_Oinf(_u20445)), _u20448), _u20446)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u20445), _u20447), _u20448))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_min__max_Ofold__inf__le__inf ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_min__max_Ofold__inf__le__inf-1, axiom, ( ~class_Orderings_Olinorder(_u20449) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20449), _u20450)) | ~hBOOL(hAPP(hAPP(c_member(_u20449), _u20451), _u20450)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20449), hAPP(hAPP(c_Finite__Set_Ofold(_u20449, _u20449, c_Orderings_Oord__class_Omin(_u20449)), _u20452), _u20450)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u20449), _u20451), _u20452))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_min__max_Osup__le__fold__sup ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_min__max_Osup__le__fold__sup-1, axiom, ( ~class_Orderings_Olinorder(_u20453) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20453), _u20454)) | ~hBOOL(hAPP(hAPP(c_member(_u20453), _u20455), _u20454)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20453), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u20453), _u20455), _u20456)), hAPP(hAPP(c_Finite__Set_Ofold(_u20453, _u20453, c_Orderings_Oord__class_Omax(_u20453)), _u20456), _u20454))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_Sup__fold__sup ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_Sup__fold__sup-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u20457) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20457), _u20458)) | ( c_Complete__Lattice_OSup__class_OSup(_u20457, _u20458) = hAPP(hAPP(c_Finite__Set_Ofold(_u20457, _u20457, c_Lattices_Osemilattice__sup__class_Osup(_u20457)), c_Orderings_Obot__class_Obot(_u20457)), _u20458)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_Inf__fold__inf ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_Inf__fold__inf-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u20459) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20459), _u20460)) | ( c_Complete__Lattice_OInf__class_OInf(_u20459, _u20460) = hAPP(hAPP(c_Finite__Set_Ofold(_u20459, _u20459, c_Lattices_Osemilattice__inf__class_Oinf(_u20459)), c_Orderings_Otop__class_Otop(_u20459)), _u20460)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_fold1__eq__fold__idem ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_fold1__eq__fold__idem-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u20461) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20461), _u20462)) | ( hAPP(c_Finite__Set_Ofold1(_u20461, c_Groups_Otimes__class_Otimes(_u20461)), hAPP(hAPP(c_Set_Oinsert(_u20461), _u20463), _u20462)) = hAPP(hAPP(c_Finite__Set_Ofold(_u20461, _u20461, c_Groups_Otimes__class_Otimes(_u20461)), _u20463), _u20462)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_Sup__fin_Oeq__fold__idem_H ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_Sup__fin_Oeq__fold__idem_H-1, axiom, ( ~class_Lattices_Olattice(_u20464) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20464), _u20465)) | ( c_Big__Operators_Olattice__class_OSup__fin(_u20464, hAPP(hAPP(c_Set_Oinsert(_u20464), _u20466), _u20465)) = hAPP(hAPP(c_Finite__Set_Ofold(_u20464, _u20464, c_Lattices_Osemilattice__sup__class_Osup(_u20464)), _u20466), _u20465)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_Inf__fin_Oeq__fold__idem_H ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_Inf__fin_Oeq__fold__idem_H-1, axiom, ( ~class_Lattices_Olattice(_u20467) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20467), _u20468)) | ( c_Big__Operators_Olattice__class_OInf__fin(_u20467, hAPP(hAPP(c_Set_Oinsert(_u20467), _u20469), _u20468)) = hAPP(hAPP(c_Finite__Set_Ofold(_u20467, _u20467, c_Lattices_Osemilattice__inf__class_Oinf(_u20467)), _u20469), _u20468)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_Min_Oeq__fold__idem_H ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_Min_Oeq__fold__idem_H-1, axiom, ( ~class_Orderings_Olinorder(_u20470) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20470), _u20471)) | ( c_Big__Operators_Olinorder__class_OMin(_u20470, hAPP(hAPP(c_Set_Oinsert(_u20470), _u20472), _u20471)) = hAPP(hAPP(c_Finite__Set_Ofold(_u20470, _u20470, c_Orderings_Oord__class_Omin(_u20470)), _u20472), _u20471)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_Max_Oeq__fold__idem_H ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_Max_Oeq__fold__idem_H-1, axiom, ( ~class_Orderings_Olinorder(_u20473) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20473), _u20474)) | ( c_Big__Operators_Olinorder__class_OMax(_u20473, hAPP(hAPP(c_Set_Oinsert(_u20473), _u20475), _u20474)) = hAPP(hAPP(c_Finite__Set_Ofold(_u20473, _u20473, c_Orderings_Oord__class_Omax(_u20473)), _u20475), _u20474)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_min__max_OInf__fin_Oeq__fold__idem_H ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_min__max_OInf__fin_Oeq__fold__idem_H-1, axiom, ( ~class_Orderings_Olinorder(_u20476) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20476), _u20477)) | ( c_Big__Operators_Olattice_OInf__fin(_u20476, c_Orderings_Oord__class_Omin(_u20476), hAPP(hAPP(c_Set_Oinsert(_u20476), _u20478), _u20477)) = hAPP(hAPP(c_Finite__Set_Ofold(_u20476, _u20476, c_Orderings_Oord__class_Omin(_u20476)), _u20478), _u20477)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_min__max_OSup__fin_Oeq__fold__idem_H ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_min__max_OSup__fin_Oeq__fold__idem_H-1, axiom, ( ~class_Orderings_Olinorder(_u20479) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20479), _u20480)) | ( c_Big__Operators_Olattice_OSup__fin(_u20479, c_Orderings_Oord__class_Omax(_u20479), hAPP(hAPP(c_Set_Oinsert(_u20479), _u20481), _u20480)) = hAPP(hAPP(c_Finite__Set_Ofold(_u20479, _u20479, c_Orderings_Oord__class_Omax(_u20479)), _u20481), _u20480)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_minus__fold__remove ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_minus__fold__remove-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20482), _u20483)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u20482, tc_HOL_Obool)), _u20484), _u20483) = hAPP(hAPP(c_Finite__Set_Ofold(_u20482, tc_fun(_u20482, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u20482, tc_HOL_Obool), tc_fun(tc_fun(_u20482, tc_HOL_Obool), tc_fun(_u20482, tc_HOL_Obool)), _u20482), hAPP(c_COMBC(tc_fun(_u20482, tc_HOL_Obool), tc_fun(_u20482, tc_HOL_Obool), tc_fun(_u20482, tc_HOL_Obool)), c_Groups_Ominus__class_Ominus(tc_fun(_u20482, tc_HOL_Obool)))), hAPP(hAPP(c_COMBC(_u20482, tc_fun(_u20482, tc_HOL_Obool), tc_fun(_u20482, tc_HOL_Obool)), c_Set_Oinsert(_u20482)), c_Orderings_Obot__class_Obot(tc_fun(_u20482, tc_HOL_Obool))))), _u20484), _u20483)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_folding__one_Oeq__fold_H ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_folding__one_Oeq__fold_H-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u20485, _u20486, _u20487) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20485), _u20488)) | hBOOL(hAPP(hAPP(c_member(_u20485), _u20489), _u20488)) | ( hAPP(_u20487, hAPP(hAPP(c_Set_Oinsert(_u20485), _u20489), _u20488)) = hAPP(hAPP(c_Finite__Set_Ofold(_u20485, _u20485, _u20486), _u20489), _u20488)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_SUPR__fold__sup ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_SUPR__fold__sup-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u20490) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20491), _u20492)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20491, _u20490), _u20492), _u20493) = hAPP(hAPP(c_Finite__Set_Ofold(_u20491, _u20490, hAPP(hAPP(c_COMBB(_u20490, tc_fun(_u20490, _u20490), _u20491), c_Lattices_Osemilattice__sup__class_Osup(_u20490)), _u20493)), c_Orderings_Obot__class_Obot(_u20490)), _u20492)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_INFI__fold__inf ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_INFI__fold__inf-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u20494) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20495), _u20496)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20495, _u20494), _u20496), _u20497) = hAPP(hAPP(c_Finite__Set_Ofold(_u20495, _u20494, hAPP(hAPP(c_COMBB(_u20494, tc_fun(_u20494, _u20494), _u20495), c_Lattices_Osemilattice__inf__class_Oinf(_u20494)), _u20497)), c_Orderings_Otop__class_Otop(_u20494)), _u20496)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_fold1__eq__fold ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_fold1__eq__fold-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u20498) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20498), _u20499)) | hBOOL(hAPP(hAPP(c_member(_u20498), _u20500), _u20499)) | ( hAPP(c_Finite__Set_Ofold1(_u20498, c_Groups_Otimes__class_Otimes(_u20498)), hAPP(hAPP(c_Set_Oinsert(_u20498), _u20500), _u20499)) = hAPP(hAPP(c_Finite__Set_Ofold(_u20498, _u20498, c_Groups_Otimes__class_Otimes(_u20498)), _u20500), _u20499)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_Sup__fin_Oeq__fold_H ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_Sup__fin_Oeq__fold_H-1, axiom, ( ~class_Lattices_Olattice(_u20501) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20501), _u20502)) | hBOOL(hAPP(hAPP(c_member(_u20501), _u20503), _u20502)) | ( c_Big__Operators_Olattice__class_OSup__fin(_u20501, hAPP(hAPP(c_Set_Oinsert(_u20501), _u20503), _u20502)) = hAPP(hAPP(c_Finite__Set_Ofold(_u20501, _u20501, c_Lattices_Osemilattice__sup__class_Osup(_u20501)), _u20503), _u20502)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_Inf__fin_Oeq__fold_H ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_Inf__fin_Oeq__fold_H-1, axiom, ( ~class_Lattices_Olattice(_u20504) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20504), _u20505)) | hBOOL(hAPP(hAPP(c_member(_u20504), _u20506), _u20505)) | ( c_Big__Operators_Olattice__class_OInf__fin(_u20504, hAPP(hAPP(c_Set_Oinsert(_u20504), _u20506), _u20505)) = hAPP(hAPP(c_Finite__Set_Ofold(_u20504, _u20504, c_Lattices_Osemilattice__inf__class_Oinf(_u20504)), _u20506), _u20505)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_Min_Oeq__fold_H ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_Min_Oeq__fold_H-1, axiom, ( ~class_Orderings_Olinorder(_u20507) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20507), _u20508)) | hBOOL(hAPP(hAPP(c_member(_u20507), _u20509), _u20508)) | ( c_Big__Operators_Olinorder__class_OMin(_u20507, hAPP(hAPP(c_Set_Oinsert(_u20507), _u20509), _u20508)) = hAPP(hAPP(c_Finite__Set_Ofold(_u20507, _u20507, c_Orderings_Oord__class_Omin(_u20507)), _u20509), _u20508)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_Max_Oeq__fold_H ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_Max_Oeq__fold_H-1, axiom, ( ~class_Orderings_Olinorder(_u20510) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20510), _u20511)) | hBOOL(hAPP(hAPP(c_member(_u20510), _u20512), _u20511)) | ( c_Big__Operators_Olinorder__class_OMax(_u20510, hAPP(hAPP(c_Set_Oinsert(_u20510), _u20512), _u20511)) = hAPP(hAPP(c_Finite__Set_Ofold(_u20510, _u20510, c_Orderings_Oord__class_Omax(_u20510)), _u20512), _u20511)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_fun__left__comm_Ofold__rec ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_fun__left__comm_Ofold__rec-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u20513, _u20514, _u20515) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20513), _u20516)) | ~hBOOL(hAPP(hAPP(c_member(_u20513), _u20517), _u20516)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u20513, _u20514, _u20515), _u20518), _u20516) = hAPP(hAPP(_u20515, _u20517), hAPP(hAPP(c_Finite__Set_Ofold(_u20513, _u20514, _u20515), _u20518), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u20513, tc_HOL_Obool)), _u20516), hAPP(hAPP(c_Set_Oinsert(_u20513), _u20517), c_Orderings_Obot__class_Obot(tc_fun(_u20513, tc_HOL_Obool))))))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_fun__left__comm_Ofold__insert__remove ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_fun__left__comm_Ofold__insert__remove-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u20519, _u20520, _u20521) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20519), _u20522)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u20519, _u20520, _u20521), _u20523), hAPP(hAPP(c_Set_Oinsert(_u20519), _u20524), _u20522)) = hAPP(hAPP(_u20521, _u20524), hAPP(hAPP(c_Finite__Set_Ofold(_u20519, _u20520, _u20521), _u20523), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u20519, tc_HOL_Obool)), _u20522), hAPP(hAPP(c_Set_Oinsert(_u20519), _u20524), c_Orderings_Obot__class_Obot(tc_fun(_u20519, tc_HOL_Obool))))))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_fun__left__comm_Ofold__fun__comm ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_fun__left__comm_Ofold__fun__comm-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u20525, _u20526, _u20527) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20525), _u20528)) | ( hAPP(hAPP(_u20527, _u20529), hAPP(hAPP(c_Finite__Set_Ofold(_u20525, _u20526, _u20527), _u20530), _u20528)) = hAPP(hAPP(c_Finite__Set_Ofold(_u20525, _u20526, _u20527), hAPP(hAPP(_u20527, _u20529), _u20530)), _u20528)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_fun__left__comm_Ofun__comp__comm ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_fun__left__comm_Ofun__comp__comm-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u20532, _u20532, _u20532, hAPP(_u20533, _u20534)), hAPP(_u20533, _u20535)) = hAPP(c_Fun_Ocomp(_u20532, _u20532, _u20532, hAPP(_u20533, _u20535)), hAPP(_u20533, _u20534))) | ~c_Finite__Set_Ofun__left__comm(_u20531, _u20532, _u20533) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_fun__left__comm_Ofold__graph__determ ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_fun__left__comm_Ofold__graph__determ-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u20536, _u20537, _u20538) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u20536, _u20537, _u20538, _u20539, _u20540), _u20541)) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u20536, _u20537, _u20538, _u20539, _u20540), _u20542)) | ( _u20542 = _u20541) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_fun__left__comm_Ofun__left__comm ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_fun__left__comm_Ofun__left__comm-1, axiom, ( ( hAPP(hAPP(_u20545, _u20546), hAPP(hAPP(_u20545, _u20547), _u20548)) = hAPP(hAPP(_u20545, _u20547), hAPP(hAPP(_u20545, _u20546), _u20548))) | ~c_Finite__Set_Ofun__left__comm(_u20543, _u20544, _u20545) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_fun__left__comm_Ofun__left__comm__apply ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_fun__left__comm_Ofun__left__comm__apply-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u20549, _u20550, _u20551) | c_Finite__Set_Ofun__left__comm(_u20552, _u20550, hAPP(hAPP(c_COMBB(_u20549, tc_fun(_u20550, _u20550), _u20552), _u20551), _u20553)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_fun__left__comm__insort ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_fun__left__comm__insort-1, axiom, ( ~class_Orderings_Olinorder(_u20554) | c_Finite__Set_Ofun__left__comm(_u20554, tc_List_Olist(_u20554), c_List_Olinorder__class_Oinsort__key(_u20554, _u20554, c_COMBI(_u20554))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_fun__left__comm ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_fun__left__comm-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u20555) | c_Finite__Set_Ofun__left__comm(_u20555, _u20555, c_Groups_Otimes__class_Otimes(_u20555)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_fun__left__comm_Ofold__equality ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_fun__left__comm_Ofold__equality-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u20556, _u20557, _u20558) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u20556, _u20557, _u20558, _u20559, _u20560), _u20561)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u20556, _u20557, _u20558), _u20559), _u20560) = _u20561) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_fun__left__comm_Ofold__graph__fold ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_fun__left__comm_Ofold__graph__fold-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u20562, _u20563, _u20564) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20562), _u20565)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u20562, _u20563, _u20564, _u20566, _u20565), hAPP(hAPP(c_Finite__Set_Ofold(_u20562, _u20563, _u20564), _u20566), _u20565))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_fun__left__comm_Ofold__insert2 ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_fun__left__comm_Ofold__insert2-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u20567, _u20568, _u20569) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20567), _u20570)) | hBOOL(hAPP(hAPP(c_member(_u20567), _u20571), _u20570)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u20567, _u20568, _u20569), _u20572), hAPP(hAPP(c_Set_Oinsert(_u20567), _u20571), _u20570)) = hAPP(hAPP(c_Finite__Set_Ofold(_u20567, _u20568, _u20569), hAPP(hAPP(_u20569, _u20571), _u20572)), _u20570)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_fun__left__comm_Ofold__insert ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_fun__left__comm_Ofold__insert-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u20573, _u20574, _u20575) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20573), _u20576)) | hBOOL(hAPP(hAPP(c_member(_u20573), _u20577), _u20576)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u20573, _u20574, _u20575), _u20578), hAPP(hAPP(c_Set_Oinsert(_u20573), _u20577), _u20576)) = hAPP(hAPP(_u20575, _u20577), hAPP(hAPP(c_Finite__Set_Ofold(_u20573, _u20574, _u20575), _u20578), _u20576))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_fun__left__comm_Ofold__set__remdups ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_fun__left__comm_Ofold__set__remdups-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u20579, _u20580, _u20581) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u20579, _u20580, _u20581), _u20582), hAPP(c_List_Oset(_u20579), _u20583)) = hAPP(c_List_Ofoldl(_u20580, _u20579, hAPP(c_COMBC(_u20579, _u20580, _u20580), _u20581), _u20582), c_List_Oremdups(_u20579, _u20583))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_fun__left__comm_Ofold__graph__insertE__aux ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_fun__left__comm_Ofold__graph__insertE__aux-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u20585, _u20586, _u20587) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u20585, _u20586, _u20587, _u20588, _u20589), _u20590)) | ~hBOOL(hAPP(hAPP(c_member(_u20585), _u20591), _u20589)) | ( _u20590 = hAPP(hAPP(_u20587, _u20591), skolem526(_u20591, _u20590, _u20589, _u20588, _u20587, _u20586, _u20585))) )).
% 39.89/40.11 cnf(fact_fun__left__comm_Ofold__graph__insertE__aux-2, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u20585, _u20586, _u20587) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u20585, _u20586, _u20587, _u20588, _u20589), _u20590)) | ~hBOOL(hAPP(hAPP(c_member(_u20585), _u20591), _u20589)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u20585, _u20586, _u20587, _u20588, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u20585, tc_HOL_Obool)), _u20589), hAPP(hAPP(c_Set_Oinsert(_u20585), _u20591), c_Orderings_Obot__class_Obot(tc_fun(_u20585, tc_HOL_Obool))))), skolem526(_u20591, _u20590, _u20589, _u20588, _u20587, _u20586, _u20585))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_fun__left__comm_Ofold__graph__insertE ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_fun__left__comm_Ofold__graph__insertE-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u20593, _u20594, _u20595) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u20593, _u20594, _u20595, _u20596, hAPP(hAPP(c_Set_Oinsert(_u20593), _u20597), _u20598)), _u20599)) | hBOOL(hAPP(hAPP(c_member(_u20593), _u20597), _u20598)) | ( _u20599 = hAPP(hAPP(_u20595, _u20597), skolem527(_u20599, _u20598, _u20597, _u20596, _u20595, _u20594, _u20593))) )).
% 39.89/40.11 cnf(fact_fun__left__comm_Ofold__graph__insertE-2, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u20593, _u20594, _u20595) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u20593, _u20594, _u20595, _u20596, hAPP(hAPP(c_Set_Oinsert(_u20593), _u20597), _u20598)), _u20599)) | hBOOL(hAPP(hAPP(c_member(_u20593), _u20597), _u20598)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u20593, _u20594, _u20595, _u20596, _u20598), skolem527(_u20599, _u20598, _u20597, _u20596, _u20595, _u20594, _u20593))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_min__max_Ofold__sup__le__sup ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_min__max_Ofold__sup__le__sup-1, axiom, ( ~class_Orderings_Olinorder(_u20601) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20601), _u20602)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20601), hAPP(hAPP(c_Finite__Set_Ofold(_u20601, _u20601, c_Orderings_Oord__class_Omax(_u20601)), _u20604), _u20602)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u20601), _u20603), _u20604))) | hBOOL(hAPP(hAPP(c_member(_u20601), skolem528(_u20604, _u20603, _u20602, _u20601)), _u20602)) )).
% 39.89/40.11 cnf(fact_min__max_Ofold__sup__le__sup-2, axiom, ( ~class_Orderings_Olinorder(_u20601) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20601), _u20602)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20601), hAPP(hAPP(c_Finite__Set_Ofold(_u20601, _u20601, c_Orderings_Oord__class_Omax(_u20601)), _u20604), _u20602)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u20601), _u20603), _u20604))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20601), skolem528(_u20604, _u20603, _u20602, _u20601)), _u20603)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_min__max_Oinf__le__fold__inf ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_min__max_Oinf__le__fold__inf-1, axiom, ( ~class_Orderings_Olinorder(_u20606) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20606), _u20607)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20606), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u20606), _u20608), _u20609)), hAPP(hAPP(c_Finite__Set_Ofold(_u20606, _u20606, c_Orderings_Oord__class_Omin(_u20606)), _u20609), _u20607))) | hBOOL(hAPP(hAPP(c_member(_u20606), skolem529(_u20609, _u20608, _u20607, _u20606)), _u20607)) )).
% 39.89/40.11 cnf(fact_min__max_Oinf__le__fold__inf-2, axiom, ( ~class_Orderings_Olinorder(_u20606) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20606), _u20607)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20606), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u20606), _u20608), _u20609)), hAPP(hAPP(c_Finite__Set_Ofold(_u20606, _u20606, c_Orderings_Oord__class_Omin(_u20606)), _u20609), _u20607))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20606), _u20608), skolem529(_u20609, _u20608, _u20607, _u20606))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_inf__le__fold__inf ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_inf__le__fold__inf-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u20611) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20611), _u20612)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20611), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u20611), _u20613), _u20614)), hAPP(hAPP(c_Finite__Set_Ofold(_u20611, _u20611, c_Lattices_Osemilattice__inf__class_Oinf(_u20611)), _u20614), _u20612))) | hBOOL(hAPP(hAPP(c_member(_u20611), skolem530(_u20614, _u20613, _u20612, _u20611)), _u20612)) )).
% 39.89/40.11 cnf(fact_inf__le__fold__inf-2, axiom, ( ~class_Lattices_Osemilattice__inf(_u20611) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20611), _u20612)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20611), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u20611), _u20613), _u20614)), hAPP(hAPP(c_Finite__Set_Ofold(_u20611, _u20611, c_Lattices_Osemilattice__inf__class_Oinf(_u20611)), _u20614), _u20612))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20611), _u20613), skolem530(_u20614, _u20613, _u20612, _u20611))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_fold__sup__le__sup ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_fold__sup__le__sup-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u20616) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20616), _u20617)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20616), hAPP(hAPP(c_Finite__Set_Ofold(_u20616, _u20616, c_Lattices_Osemilattice__sup__class_Osup(_u20616)), _u20619), _u20617)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u20616), _u20618), _u20619))) | hBOOL(hAPP(hAPP(c_member(_u20616), skolem531(_u20619, _u20618, _u20617, _u20616)), _u20617)) )).
% 39.89/40.11 cnf(fact_fold__sup__le__sup-2, axiom, ( ~class_Lattices_Osemilattice__sup(_u20616) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20616), _u20617)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20616), hAPP(hAPP(c_Finite__Set_Ofold(_u20616, _u20616, c_Lattices_Osemilattice__sup__class_Osup(_u20616)), _u20619), _u20617)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u20616), _u20618), _u20619))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20616), skolem531(_u20619, _u20618, _u20617, _u20616)), _u20618)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_mod__div__decomp ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_mod__div__decomp-1, axiom, ( ~class_Divides_Osemiring__div(_u20620) | ( _u20621 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20620), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20620), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20620), _u20621), _u20622)), _u20622)), c_Divides_Odiv__class_Omod(_u20620, _u20621, _u20622))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_wf__eq__minimal ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_wf__eq__minimal-1, axiom, ( ~c_Wellfounded_Owf(_u20633, _u20635) | ~hBOOL(hAPP(hAPP(c_member(_u20633), _u20623), _u20626)) | hBOOL(hAPP(hAPP(c_member(_u20633), skolem532(_u20635, _u20633, _u20626)), _u20626)) )).
% 39.89/40.11 cnf(fact_wf__eq__minimal-2, axiom, ( ~c_Wellfounded_Owf(_u20633, _u20635) | ~hBOOL(hAPP(hAPP(c_member(_u20633), _u20623), _u20626)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20633, _u20633)), hAPP(hAPP(c_Product__Type_OPair(_u20633, _u20633), _u20624), skolem532(_u20635, _u20633, _u20626))), _u20635)) | ~hBOOL(hAPP(hAPP(c_member(_u20633), _u20624), _u20626)) )).
% 39.89/40.11 cnf(fact_wf__eq__minimal-3, axiom, ( c_Wellfounded_Owf(_u20634, _u20636) | hBOOL(hAPP(hAPP(c_member(_u20634), skolem534(_u20636, _u20634)), skolem533(_u20636, _u20634))) )).
% 39.89/40.11 cnf(fact_wf__eq__minimal-4, axiom, ( c_Wellfounded_Owf(_u20634, _u20636) | ~hBOOL(hAPP(hAPP(c_member(_u20634), _u20629), skolem533(_u20636, _u20634))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20634, _u20634)), hAPP(hAPP(c_Product__Type_OPair(_u20634, _u20634), skolem535(_u20636, _u20634, _u20629)), _u20629)), _u20636)) )).
% 39.89/40.11 cnf(fact_wf__eq__minimal-5, axiom, ( c_Wellfounded_Owf(_u20634, _u20636) | ~hBOOL(hAPP(hAPP(c_member(_u20634), _u20629), skolem533(_u20636, _u20634))) | hBOOL(hAPP(hAPP(c_member(_u20634), skolem535(_u20636, _u20634, _u20629)), skolem533(_u20636, _u20634))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_folding__image__simple__idem_Ounion__idem ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_folding__image__simple__idem_Ounion__idem-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20638), _u20643)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20638), _u20644)) | ( hAPP(_u20642, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u20638, tc_HOL_Obool)), _u20643), _u20644)) = hAPP(hAPP(_u20639, hAPP(_u20642, _u20643)), hAPP(_u20642, _u20644))) | ~c_Finite__Set_Ofolding__image__simple__idem(_u20637, _u20638, _u20639, _u20640, _u20641, _u20642) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_transfer__nat__int__set__cong ( axiom ) converted to clauses:
% 39.89/40.11 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)))), _u20646)) = 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)))), _u20647))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem536(_u20647, _u20646))) )).
% 39.89/40.11 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)))), _u20646)) = 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)))), _u20647))) | hBOOL(hAPP(_u20646, skolem536(_u20647, _u20646))) | hBOOL(hAPP(_u20647, skolem536(_u20647, _u20646))) )).
% 39.89/40.11 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)))), _u20646)) = 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)))), _u20647))) | ~hBOOL(hAPP(_u20647, skolem536(_u20647, _u20646))) | ~hBOOL(hAPP(_u20646, skolem536(_u20647, _u20646))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_folding__image__simple__idem_Oidem ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_folding__image__simple__idem_Oidem-1, axiom, ( ( hAPP(hAPP(_u20650, _u20654), _u20654) = _u20654) | ~c_Finite__Set_Ofolding__image__simple__idem(_u20648, _u20649, _u20650, _u20651, _u20652, _u20653) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_folding__image__simple__idem_Oin__idem ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_folding__image__simple__idem_Oin__idem-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20656), _u20661)) | ~hBOOL(hAPP(hAPP(c_member(_u20656), _u20662), _u20661)) | ( hAPP(hAPP(_u20657, hAPP(_u20659, _u20662)), hAPP(_u20660, _u20661)) = hAPP(_u20660, _u20661)) | ~c_Finite__Set_Ofolding__image__simple__idem(_u20655, _u20656, _u20657, _u20658, _u20659, _u20660) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_folding__image__simple__idem_Oinsert__idem ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_folding__image__simple__idem_Oinsert__idem-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20664), _u20669)) | ( hAPP(_u20668, hAPP(hAPP(c_Set_Oinsert(_u20664), _u20670), _u20669)) = hAPP(hAPP(_u20665, hAPP(_u20667, _u20670)), hAPP(_u20668, _u20669))) | ~c_Finite__Set_Ofolding__image__simple__idem(_u20663, _u20664, _u20665, _u20666, _u20667, _u20668) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_folding__image__simple__idem_Osubset__idem ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_folding__image__simple__idem_Osubset__idem-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20672), _u20677)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20672, tc_HOL_Obool)), _u20678), _u20677)) | ( hAPP(hAPP(_u20673, hAPP(_u20676, _u20678)), hAPP(_u20676, _u20677)) = hAPP(_u20676, _u20677)) | ~c_Finite__Set_Ofolding__image__simple__idem(_u20671, _u20672, _u20673, _u20674, _u20675, _u20676) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_UnionE ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_UnionE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u20680), _u20681), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20680, tc_HOL_Obool), _u20682))) | hBOOL(hAPP(hAPP(c_member(_u20680), _u20681), skolem537(_u20682, _u20681, _u20680))) )).
% 39.89/40.11 cnf(fact_UnionE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u20680), _u20681), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20680, tc_HOL_Obool), _u20682))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20680, tc_HOL_Obool)), skolem537(_u20682, _u20681, _u20680)), _u20682)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_option_Orecs_I2_J ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_option_Orecs_I2_J-1, axiom, ( ( c_Option_Ooption_Ooption__rec(_u20683, _u20684, _u20685, _u20686, hAPP(c_Option_Ooption_OSome(_u20684), _u20687)) = hAPP(_u20686, _u20687)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_option_Orecs_I1_J ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_option_Orecs_I1_J-1, axiom, ( ( c_Option_Ooption_Ooption__rec(_u20688, _u20689, _u20690, _u20691, c_Option_Ooption_ONone(_u20689)) = _u20690) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_converseE ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_converseE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20694, _u20695)), _u20696), hAPP(c_Relation_Oconverse(_u20695, _u20694), _u20697))) | ( _u20696 = hAPP(hAPP(c_Product__Type_OPair(_u20694, _u20695), skolem539(_u20697, _u20696, _u20695, _u20694)), skolem538(_u20697, _u20696, _u20695, _u20694))) )).
% 39.89/40.11 cnf(fact_converseE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20694, _u20695)), _u20696), hAPP(c_Relation_Oconverse(_u20695, _u20694), _u20697))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20695, _u20694)), hAPP(hAPP(c_Product__Type_OPair(_u20695, _u20694), skolem538(_u20697, _u20696, _u20695, _u20694)), skolem539(_u20697, _u20696, _u20695, _u20694))), _u20697)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_rel__compE ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_rel__compE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20701, _u20702)), _u20703), hAPP(hAPP(c_Relation_Orel__comp(_u20701, _u20704, _u20702), _u20705), _u20706))) | ( _u20703 = hAPP(hAPP(c_Product__Type_OPair(_u20701, _u20702), skolem540(_u20706, _u20705, _u20704, _u20703, _u20702, _u20701)), skolem542(_u20706, _u20705, _u20704, _u20703, _u20702, _u20701))) )).
% 39.89/40.11 cnf(fact_rel__compE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20701, _u20702)), _u20703), hAPP(hAPP(c_Relation_Orel__comp(_u20701, _u20704, _u20702), _u20705), _u20706))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20701, _u20704)), hAPP(hAPP(c_Product__Type_OPair(_u20701, _u20704), skolem540(_u20706, _u20705, _u20704, _u20703, _u20702, _u20701)), skolem541(_u20706, _u20705, _u20704, _u20703, _u20702, _u20701))), _u20705)) )).
% 39.89/40.11 cnf(fact_rel__compE-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20701, _u20702)), _u20703), hAPP(hAPP(c_Relation_Orel__comp(_u20701, _u20704, _u20702), _u20705), _u20706))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20704, _u20702)), hAPP(hAPP(c_Product__Type_OPair(_u20704, _u20702), skolem541(_u20706, _u20705, _u20704, _u20703, _u20702, _u20701)), skolem542(_u20706, _u20705, _u20704, _u20703, _u20702, _u20701))), _u20706)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_Nitpick_Oplus__frac__def ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_Nitpick_Oplus__frac__def-1, axiom, ( ( c_Nitpick_Oplus__frac(_u20707, _u20708, _u20709) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u20707), c_Nitpick_Oint__lcm(hAPP(c_Nitpick_Odenom(_u20707), _u20708), hAPP(c_Nitpick_Odenom(_u20707), _u20709))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_Int_Oint, _u20707), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_fun(tc_Int_Oint, _u20707), tc_Int_Oint), c_Nitpick_Ofrac(_u20707)), 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(_u20707), _u20708))), 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(_u20707), _u20708))))), 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(_u20707), _u20709))), 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(_u20707), _u20709)))))), c_COMBI(tc_Int_Oint)))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_setprod__pos ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_setprod__pos-1, axiom, ( ~class_Rings_Olinordered__semidom(_u20711) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u20711), c_Groups_Ozero__class_Ozero(_u20711)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u20712, _u20711), _u20714), _u20713))) | hBOOL(hAPP(hAPP(c_member(_u20712), skolem543(_u20714, _u20713, _u20712, _u20711)), _u20713)) )).
% 39.89/40.11 cnf(fact_setprod__pos-2, axiom, ( ~class_Rings_Olinordered__semidom(_u20711) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u20711), c_Groups_Ozero__class_Ozero(_u20711)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u20712, _u20711), _u20714), _u20713))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u20711), c_Groups_Ozero__class_Ozero(_u20711)), hAPP(_u20714, skolem543(_u20714, _u20713, _u20712, _u20711)))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_Nitpick_Otimes__frac__def ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_Nitpick_Otimes__frac__def-1, axiom, ( ( c_Nitpick_Otimes__frac(_u20715, _u20716, _u20717) = hAPP(hAPP(c_Nitpick_Ofrac(_u20715), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u20715), _u20716)), hAPP(c_Nitpick_Onum(_u20715), _u20717))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nitpick_Odenom(_u20715), _u20716)), hAPP(c_Nitpick_Odenom(_u20715), _u20717)))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_Nitpick_Oof__frac__def ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_Nitpick_Oof__frac__def-1, axiom, ( ~class_Rings_Oinverse(_u20718) | ~class_Rings_Oring__1(_u20718) | ( c_Nitpick_Oof__frac(_u20719, _u20718, _u20720) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u20718), hAPP(c_Int_Oring__1__class_Oof__int(_u20718), hAPP(c_Nitpick_Onum(_u20719), _u20720))), hAPP(c_Int_Oring__1__class_Oof__int(_u20718), hAPP(c_Nitpick_Odenom(_u20719), _u20720)))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_Nitpick_Oinverse__frac__def ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_Nitpick_Oinverse__frac__def-1, axiom, ( ( c_Nitpick_Oinverse__frac(_u20721, _u20722) = hAPP(hAPP(c_Nitpick_Ofrac(_u20721), hAPP(c_Nitpick_Odenom(_u20721), _u20722)), hAPP(c_Nitpick_Onum(_u20721), _u20722))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_Nitpick_Ouminus__frac__def ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_Nitpick_Ouminus__frac__def-1, axiom, ( ( c_Nitpick_Ouminus__frac(_u20723, _u20724) = c_Nitpick_OAbs__Frac(_u20723, 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(_u20723), _u20724))), hAPP(c_Nitpick_Odenom(_u20723), _u20724)))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_Nitpick_Oless__frac__def ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_Nitpick_Oless__frac__def-1, axiom, ( ~c_Nitpick_Oless__frac(_u20728, _u20730, _u20732) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u20728), c_Nitpick_Oplus__frac(_u20728, _u20730, c_Nitpick_Ouminus__frac(_u20728, _u20732)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.89/40.11 cnf(fact_Nitpick_Oless__frac__def-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u20729), c_Nitpick_Oplus__frac(_u20729, _u20731, c_Nitpick_Ouminus__frac(_u20729, _u20733)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | c_Nitpick_Oless__frac(_u20729, _u20731, _u20733) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_Nitpick_Oless__eq__frac__def ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_Nitpick_Oless__eq__frac__def-1, axiom, ( ~c_Nitpick_Oless__eq__frac(_u20737, _u20739, _u20741) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u20737), c_Nitpick_Oplus__frac(_u20737, _u20739, c_Nitpick_Ouminus__frac(_u20737, _u20741)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.89/40.11 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(_u20738), c_Nitpick_Oplus__frac(_u20738, _u20740, c_Nitpick_Ouminus__frac(_u20738, _u20742)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | c_Nitpick_Oless__eq__frac(_u20738, _u20740, _u20742) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_Nitpick_Odenom__def ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_Nitpick_Odenom__def-1, axiom, ( ( c_Nitpick_Odenom(_u20743) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint, tc_Int_Oint), tc_Int_Oint, _u20743, c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint)), c_Nitpick_ORep__Frac(_u20743))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_Nitpick_Onum__def ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_Nitpick_Onum__def-1, axiom, ( ( c_Nitpick_Onum(_u20744) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint, tc_Int_Oint), tc_Int_Oint, _u20744, c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint)), c_Nitpick_ORep__Frac(_u20744))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_list__all__length ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_list__all__length-1, axiom, ( ~c_List_Olist__all(_u20750, _u20752, _u20754) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20745), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20750)), _u20754))) | hBOOL(hAPP(_u20752, hAPP(hAPP(c_List_Onth(_u20750), _u20754), _u20745))) )).
% 39.89/40.11 cnf(fact_list__all__length-2, axiom, ( c_List_Olist__all(_u20751, _u20753, _u20755) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem544(_u20755, _u20753, _u20751)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20751)), _u20755))) )).
% 39.89/40.11 cnf(fact_list__all__length-3, axiom, ( c_List_Olist__all(_u20751, _u20753, _u20755) | ~hBOOL(hAPP(_u20753, hAPP(hAPP(c_List_Onth(_u20751), _u20755), skolem544(_u20755, _u20753, _u20751)))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_internal__split__def ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_internal__split__def-1, axiom, ( ( c_Product__Type_Ointernal__split(_u20756, _u20757, _u20758) = c_Product__Type_Oprod_Oprod__case(_u20756, _u20757, _u20758)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_list__all__simps_I1_J ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_list__all__simps_I1_J-1, axiom, ( ~c_List_Olist__all(_u20763, _u20765, hAPP(hAPP(c_List_Olist_OCons(_u20763), _u20767), _u20769)) | hBOOL(hAPP(_u20765, _u20767)) )).
% 39.89/40.11 cnf(fact_list__all__simps_I1_J-2, axiom, ( ~c_List_Olist__all(_u20763, _u20765, hAPP(hAPP(c_List_Olist_OCons(_u20763), _u20767), _u20769)) | c_List_Olist__all(_u20763, _u20765, _u20769) )).
% 39.89/40.11 cnf(fact_list__all__simps_I1_J-3, axiom, ( ~hBOOL(hAPP(_u20766, _u20768)) | ~c_List_Olist__all(_u20764, _u20766, _u20770) | c_List_Olist__all(_u20764, _u20766, hAPP(hAPP(c_List_Olist_OCons(_u20764), _u20768), _u20770)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_list__all__append ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_list__all__append-1, axiom, ( ~c_List_Olist__all(_u20775, _u20777, hAPP(hAPP(c_List_Oappend(_u20775), _u20779), _u20781)) | c_List_Olist__all(_u20775, _u20777, _u20779) )).
% 39.89/40.11 cnf(fact_list__all__append-2, axiom, ( ~c_List_Olist__all(_u20775, _u20777, hAPP(hAPP(c_List_Oappend(_u20775), _u20779), _u20781)) | c_List_Olist__all(_u20775, _u20777, _u20781) )).
% 39.89/40.11 cnf(fact_list__all__append-3, axiom, ( ~c_List_Olist__all(_u20776, _u20778, _u20780) | ~c_List_Olist__all(_u20776, _u20778, _u20782) | c_List_Olist__all(_u20776, _u20778, hAPP(hAPP(c_List_Oappend(_u20776), _u20780), _u20782)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_list__all__iff ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_list__all__iff-1, axiom, ( ~c_List_Olist__all(_u20788, _u20790, _u20792) | ~hBOOL(hAPP(hAPP(c_member(_u20788), _u20783), hAPP(c_List_Oset(_u20788), _u20792))) | hBOOL(hAPP(_u20790, _u20783)) )).
% 39.89/40.11 cnf(fact_list__all__iff-2, axiom, ( c_List_Olist__all(_u20789, _u20791, _u20793) | hBOOL(hAPP(hAPP(c_member(_u20789), skolem545(_u20793, _u20791, _u20789)), hAPP(c_List_Oset(_u20789), _u20793))) )).
% 39.89/40.11 cnf(fact_list__all__iff-3, axiom, ( c_List_Olist__all(_u20789, _u20791, _u20793) | ~hBOOL(hAPP(_u20791, skolem545(_u20793, _u20791, _u20789))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_list__all__rev ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_list__all__rev-1, axiom, ( ~c_List_Olist__all(_u20797, _u20799, hAPP(c_List_Orev(_u20797), _u20801)) | c_List_Olist__all(_u20797, _u20799, _u20801) )).
% 39.89/40.11 cnf(fact_list__all__rev-2, axiom, ( ~c_List_Olist__all(_u20798, _u20800, _u20802) | c_List_Olist__all(_u20798, _u20800, hAPP(c_List_Orev(_u20798), _u20802)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_list__all__simps_I2_J ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_list__all__simps_I2_J-1, axiom, ( c_List_Olist__all(_u20803, _u20804, c_List_Olist_ONil(_u20803)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_Ball__set__list__all ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_Ball__set__list__all-1, axiom, ( c_List_Olist__all(_u20810, _u20814, _u20812) | hBOOL(hAPP(hAPP(c_member(_u20810), skolem546(_u20814, _u20812, _u20810)), hAPP(c_List_Oset(_u20810), _u20812))) )).
% 39.89/40.11 cnf(fact_Ball__set__list__all-2, axiom, ( c_List_Olist__all(_u20810, _u20814, _u20812) | ~hBOOL(hAPP(_u20814, skolem546(_u20814, _u20812, _u20810))) )).
% 39.89/40.11 cnf(fact_Ball__set__list__all-3, axiom, ( ~c_List_Olist__all(_u20811, _u20815, _u20813) | ~hBOOL(hAPP(hAPP(c_member(_u20811), _u20806), hAPP(c_List_Oset(_u20811), _u20813))) | hBOOL(hAPP(_u20815, _u20806)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_list__all__iff__raw ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_list__all__iff__raw-1, axiom, ( ~c_List_Olist__all(_u20821, _u20823, _u20825) | ~hBOOL(hAPP(hAPP(c_member(_u20821), _u20816), hAPP(c_List_Oset(_u20821), _u20825))) | hBOOL(hAPP(_u20823, _u20816)) )).
% 39.89/40.11 cnf(fact_list__all__iff__raw-2, axiom, ( c_List_Olist__all(_u20822, _u20824, _u20826) | hBOOL(hAPP(hAPP(c_member(_u20822), skolem547(_u20826, _u20824, _u20822)), hAPP(c_List_Oset(_u20822), _u20826))) )).
% 39.89/40.11 cnf(fact_list__all__iff__raw-3, axiom, ( c_List_Olist__all(_u20822, _u20824, _u20826) | ~hBOOL(hAPP(_u20824, skolem547(_u20826, _u20824, _u20822))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_internal__split__conv ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_internal__split__conv-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Ointernal__split(_u20827, _u20828, _u20829), _u20830), hAPP(hAPP(c_Product__Type_OPair(_u20827, _u20828), _u20831), _u20832)) = hAPP(hAPP(_u20830, _u20831), _u20832)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_list__ex1__simps_I2_J ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_list__ex1__simps_I2_J-1, axiom, ( ~c_List_Olist__ex1(_u20837, _u20839, hAPP(hAPP(c_List_Olist_OCons(_u20837), _u20841), _u20843)) | ~hBOOL(hAPP(_u20839, _u20841)) | c_List_Olist__all(_u20837, hAPP(hAPP(c_COMBS(_u20837, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u20837), c_fdisj), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u20837), c_fNot), _u20839))), hAPP(c_fequal, _u20841)), _u20843) )).
% 39.89/40.11 cnf(fact_list__ex1__simps_I2_J-2, axiom, ( ~c_List_Olist__ex1(_u20837, _u20839, hAPP(hAPP(c_List_Olist_OCons(_u20837), _u20841), _u20843)) | hBOOL(hAPP(_u20839, _u20841)) | c_List_Olist__ex1(_u20837, _u20839, _u20843) )).
% 39.89/40.11 cnf(fact_list__ex1__simps_I2_J-3, axiom, ( c_List_Olist__ex1(_u20838, _u20840, hAPP(hAPP(c_List_Olist_OCons(_u20838), _u20842), _u20844)) | hBOOL(hAPP(_u20840, _u20842)) | ~c_List_Olist__ex1(_u20838, _u20840, _u20844) )).
% 39.89/40.11 cnf(fact_list__ex1__simps_I2_J-4, axiom, ( c_List_Olist__ex1(_u20838, _u20840, hAPP(hAPP(c_List_Olist_OCons(_u20838), _u20842), _u20844)) | ~c_List_Olist__all(_u20838, hAPP(hAPP(c_COMBS(_u20838, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u20838), c_fdisj), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u20838), c_fNot), _u20840))), hAPP(c_fequal, _u20842)), _u20844) | ~hBOOL(hAPP(_u20840, _u20842)) )).
% 39.89/40.11 cnf(fact_list__ex1__simps_I2_J-5, axiom, ( c_List_Olist__ex1(_u20838, _u20840, hAPP(hAPP(c_List_Olist_OCons(_u20838), _u20842), _u20844)) | ~c_List_Olist__all(_u20838, hAPP(hAPP(c_COMBS(_u20838, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u20838), c_fdisj), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u20838), c_fNot), _u20840))), hAPP(c_fequal, _u20842)), _u20844) | ~c_List_Olist__ex1(_u20838, _u20840, _u20844) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_setprod__nonneg ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_setprod__nonneg-1, axiom, ( ~class_Rings_Olinordered__semidom(_u20846) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20846), c_Groups_Ozero__class_Ozero(_u20846)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u20847, _u20846), _u20849), _u20848))) | hBOOL(hAPP(hAPP(c_member(_u20847), skolem548(_u20849, _u20848, _u20847, _u20846)), _u20848)) )).
% 39.89/40.11 cnf(fact_setprod__nonneg-2, axiom, ( ~class_Rings_Olinordered__semidom(_u20846) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20846), c_Groups_Ozero__class_Ozero(_u20846)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u20847, _u20846), _u20849), _u20848))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20846), c_Groups_Ozero__class_Ozero(_u20846)), hAPP(_u20849, skolem548(_u20849, _u20848, _u20847, _u20846)))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_list__ex1__simps_I1_J ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_list__ex1__simps_I1_J-1, axiom, ( ~c_List_Olist__ex1(_u20850, _u20851, c_List_Olist_ONil(_u20850)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_exists1__code ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_exists1__code-1, axiom, ( ~class_Enum_Oenum(_u20856) | c_List_Olist__ex1(_u20856, _u20857, c_Enum_Oenum__class_Oenum(_u20856)) | ~hBOOL(hAPP(_u20857, _u20853)) | hBOOL(hAPP(_u20857, skolem549(_u20857, _u20856, _u20853))) )).
% 39.89/40.11 cnf(fact_exists1__code-2, axiom, ( ~class_Enum_Oenum(_u20856) | c_List_Olist__ex1(_u20856, _u20857, c_Enum_Oenum__class_Oenum(_u20856)) | ~hBOOL(hAPP(_u20857, _u20853)) | ( skolem549(_u20857, _u20856, _u20853) != _u20853) )).
% 39.89/40.11 cnf(fact_exists1__code-3, axiom, ( ~class_Enum_Oenum(_u20856) | ~c_List_Olist__ex1(_u20856, _u20857, c_Enum_Oenum__class_Oenum(_u20856)) | hBOOL(hAPP(_u20857, skolem550(_u20857, _u20856))) )).
% 39.89/40.11 cnf(fact_exists1__code-4, axiom, ( ~class_Enum_Oenum(_u20856) | ~c_List_Olist__ex1(_u20856, _u20857, c_Enum_Oenum__class_Oenum(_u20856)) | ~hBOOL(hAPP(_u20857, _u20854)) | ( _u20854 = skolem550(_u20857, _u20856)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_list__ex1__iff ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_list__ex1__iff-1, axiom, ( ~c_List_Olist__ex1(_u20865, _u20867, _u20869) | hBOOL(hAPP(hAPP(c_member(_u20865), skolem551(_u20869, _u20867, _u20865)), hAPP(c_List_Oset(_u20865), _u20869))) )).
% 39.89/40.11 cnf(fact_list__ex1__iff-2, axiom, ( ~c_List_Olist__ex1(_u20865, _u20867, _u20869) | hBOOL(hAPP(_u20867, skolem551(_u20869, _u20867, _u20865))) )).
% 39.89/40.11 cnf(fact_list__ex1__iff-3, axiom, ( ~c_List_Olist__ex1(_u20865, _u20867, _u20869) | ~hBOOL(hAPP(hAPP(c_member(_u20865), _u20858), hAPP(c_List_Oset(_u20865), _u20869))) | ~hBOOL(hAPP(_u20867, _u20858)) | ( _u20858 = skolem551(_u20869, _u20867, _u20865)) )).
% 39.89/40.11 cnf(fact_list__ex1__iff-4, axiom, ( c_List_Olist__ex1(_u20866, _u20868, _u20870) | ~hBOOL(hAPP(hAPP(c_member(_u20866), _u20861), hAPP(c_List_Oset(_u20866), _u20870))) | ~hBOOL(hAPP(_u20868, _u20861)) | hBOOL(hAPP(hAPP(c_member(_u20866), skolem552(_u20870, _u20868, _u20866, _u20861)), hAPP(c_List_Oset(_u20866), _u20870))) )).
% 39.89/40.11 cnf(fact_list__ex1__iff-5, axiom, ( c_List_Olist__ex1(_u20866, _u20868, _u20870) | ~hBOOL(hAPP(hAPP(c_member(_u20866), _u20861), hAPP(c_List_Oset(_u20866), _u20870))) | ~hBOOL(hAPP(_u20868, _u20861)) | hBOOL(hAPP(_u20868, skolem552(_u20870, _u20868, _u20866, _u20861))) )).
% 39.89/40.11 cnf(fact_list__ex1__iff-6, axiom, ( c_List_Olist__ex1(_u20866, _u20868, _u20870) | ~hBOOL(hAPP(hAPP(c_member(_u20866), _u20861), hAPP(c_List_Oset(_u20866), _u20870))) | ~hBOOL(hAPP(_u20868, _u20861)) | ( skolem552(_u20870, _u20868, _u20866, _u20861) != _u20861) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_bool_Osize_I1_J ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_bool_Osize_I1_J-1, axiom, ( ( c_HOL_Obool_Obool__size(c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_bool_Osize_I2_J ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_bool_Osize_I2_J-1, axiom, ( ( c_HOL_Obool_Obool__size(c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_finite__less__ub ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_finite__less__ub-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem553(_u20873, _u20872)), hAPP(_u20872, skolem553(_u20873, _u20872)))) | 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)), _u20872)), _u20873)))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_finite__induct ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_finite__induct-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20876), _u20877)) | ~hBOOL(hAPP(_u20878, c_Orderings_Obot__class_Obot(tc_fun(_u20876, tc_HOL_Obool)))) | hBOOL(hAPP(_u20878, _u20877)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u20876), skolem555(_u20878, _u20877, _u20876))) )).
% 39.89/40.11 cnf(fact_finite__induct-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20876), _u20877)) | ~hBOOL(hAPP(_u20878, c_Orderings_Obot__class_Obot(tc_fun(_u20876, tc_HOL_Obool)))) | hBOOL(hAPP(_u20878, _u20877)) | ~hBOOL(hAPP(hAPP(c_member(_u20876), skolem554(_u20878, _u20877, _u20876)), skolem555(_u20878, _u20877, _u20876))) )).
% 39.89/40.11 cnf(fact_finite__induct-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20876), _u20877)) | ~hBOOL(hAPP(_u20878, c_Orderings_Obot__class_Obot(tc_fun(_u20876, tc_HOL_Obool)))) | hBOOL(hAPP(_u20878, _u20877)) | hBOOL(hAPP(_u20878, skolem555(_u20878, _u20877, _u20876))) )).
% 39.89/40.11 cnf(fact_finite__induct-4, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20876), _u20877)) | ~hBOOL(hAPP(_u20878, c_Orderings_Obot__class_Obot(tc_fun(_u20876, tc_HOL_Obool)))) | hBOOL(hAPP(_u20878, _u20877)) | ~hBOOL(hAPP(_u20878, hAPP(hAPP(c_Set_Oinsert(_u20876), skolem554(_u20878, _u20877, _u20876)), skolem555(_u20878, _u20877, _u20876)))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_measure__function__int ( axiom ) converted to clauses:
% 39.89/40.11 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))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_equal__fun__def ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_equal__fun__def-1, axiom, ( ~class_HOL_Oequal(_u20881) | ~class_Enum_Oenum(_u20882) | ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_fun(_u20882, _u20881)), _u20883), _u20884)) | ~hBOOL(hAPP(hAPP(c_member(_u20882), _u20879), hAPP(c_List_Oset(_u20882), c_Enum_Oenum__class_Oenum(_u20882)))) | ( hAPP(_u20883, _u20879) = hAPP(_u20884, _u20879)) )).
% 39.89/40.11 cnf(fact_equal__fun__def-2, axiom, ( ~class_HOL_Oequal(_u20881) | ~class_Enum_Oenum(_u20882) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_fun(_u20882, _u20881)), _u20883), _u20884)) | hBOOL(hAPP(hAPP(c_member(_u20882), skolem556(_u20884, _u20883, _u20882, _u20881)), hAPP(c_List_Oset(_u20882), c_Enum_Oenum__class_Oenum(_u20882)))) )).
% 39.89/40.11 cnf(fact_equal__fun__def-3, axiom, ( ~class_HOL_Oequal(_u20881) | ~class_Enum_Oenum(_u20882) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_fun(_u20882, _u20881)), _u20883), _u20884)) | ( hAPP(_u20883, skolem556(_u20884, _u20883, _u20882, _u20881)) != hAPP(_u20884, skolem556(_u20884, _u20883, _u20882, _u20881))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_measure__fst ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_measure__fst-1, axiom, ( ~c_FunDef_Ois__measure(_u20885, _u20886) | c_FunDef_Ois__measure(tc_prod(_u20885, _u20887), hAPP(hAPP(c_COMBB(_u20885, tc_Nat_Onat, tc_prod(_u20885, _u20887)), _u20886), c_Product__Type_Ofst(_u20885, _u20887))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_is__measure_Ointros ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_is__measure_Ointros-1, axiom, ( c_FunDef_Ois__measure(_u20888, _u20889) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_is__measure_Oequations ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_is__measure_Oequations-1, axiom, ( c_FunDef_Ois__measure(_u20890, _u20891) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_is__measure_Osimps ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_is__measure_Osimps-1, axiom, ( c_FunDef_Ois__measure(_u20892, _u20893) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_equal ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_equal-1, axiom, ( ~class_HOL_Oequal(_u20894) | ( c_HOL_Oequal__class_Oequal(_u20894) = c_fequal) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_equal__refl ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_equal__refl-1, axiom, ( ~class_HOL_Oequal(_u20895) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(_u20895), _u20896), _u20896)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_equal__eq ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_equal__eq-1, axiom, ( ~class_HOL_Oequal(_u20897) | ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(_u20897), _u20898), _u20899)) | ( _u20898 = _u20899) )).
% 39.89/40.11 cnf(fact_equal__eq-2, axiom, ( ~class_HOL_Oequal(_u20897) | ( _u20898 != _u20899) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(_u20897), _u20898), _u20899)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_eq__equal ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_eq__equal-1, axiom, ( ~class_HOL_Oequal(_u20900) | ( c_fequal = c_HOL_Oequal__class_Oequal(_u20900)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_measure__size ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_measure__size-1, axiom, ( ~class_Nat_Osize(_u20901) | c_FunDef_Ois__measure(_u20901, c_Nat_Osize__class_Osize(_u20901)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_measure__snd ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_measure__snd-1, axiom, ( ~c_FunDef_Ois__measure(_u20902, _u20903) | c_FunDef_Ois__measure(tc_prod(_u20904, _u20902), hAPP(hAPP(c_COMBB(_u20902, tc_Nat_Onat, tc_prod(_u20904, _u20902)), _u20903), c_Product__Type_Osnd(_u20904, _u20902))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_transfer__morphism__int__nat ( axiom ) converted to clauses:
% 39.89/40.11 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)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_New__DSequence_Oneg__decr__bind__def ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_New__DSequence_Oneg__decr__bind__def-1, axiom, ( ( _u20910 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Oneg__decr__bind(_u20912, _u20914, _u20916, _u20918), _u20910) = c_Lazy__Sequence_Ohit__bound(_u20914)) )).
% 39.89/40.11 cnf(fact_New__DSequence_Oneg__decr__bind__def-2, axiom, ( ( _u20911 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Oneg__decr__bind(_u20913, _u20915, _u20917, _u20919), _u20911) = c_Lazy__Sequence_Ohb__bind(_u20913, _u20915, hAPP(_u20917, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u20911), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))), hAPP(hAPP(c_COMBC(_u20913, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(_u20915))), _u20919), _u20911))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_eq__int__code_I7_J ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_eq__int__code_I7_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u20920))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_eq__int__code_I11_J ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_eq__int__code_I11_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OBit0(_u20921)), c_Int_OMin)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_eq__number__of__int__code ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_eq__number__of__int__code-1, axiom, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u20924)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u20926))) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), _u20924), _u20926)) )).
% 39.89/40.11 cnf(fact_eq__number__of__int__code-2, axiom, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), _u20925), _u20927)) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u20925)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u20927))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_eq__int__code_I1_J ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_eq__int__code_I1_J-1, axiom, ( hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OPls), c_Int_OPls)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_eq__int__code_I16_J ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_eq__int__code_I16_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OBit1(_u20930)), c_Int_OBit1(_u20932))) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), _u20930), _u20932)) )).
% 39.89/40.11 cnf(fact_eq__int__code_I16_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), _u20931), _u20933)) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OBit1(_u20931)), c_Int_OBit1(_u20933))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_eq__int__code_I13_J ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_eq__int__code_I13_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OBit0(_u20936)), c_Int_OBit0(_u20938))) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), _u20936), _u20938)) )).
% 39.89/40.11 cnf(fact_eq__int__code_I13_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), _u20937), _u20939)) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OBit0(_u20937)), c_Int_OBit0(_u20939))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_eq__int__code_I6_J ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_eq__int__code_I6_J-1, axiom, ( hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OMin), c_Int_OMin)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_eq__int__code_I4_J ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_eq__int__code_I4_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u20940))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_eq__int__code_I10_J ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_eq__int__code_I10_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OBit1(_u20941)), c_Int_OPls)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_equal__int__def ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_equal__int__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), _u20944), _u20946)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u20944), _u20946) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 39.89/40.11 cnf(fact_equal__int__def-2, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u20945), _u20947) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), _u20945), _u20947)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_eq__int__code_I14_J ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_eq__int__code_I14_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OBit0(_u20948)), c_Int_OBit1(_u20949))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_eq__int__code_I15_J ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_eq__int__code_I15_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OBit1(_u20950)), c_Int_OBit0(_u20951))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_eq__int__code_I3_J ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_eq__int__code_I3_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u20953))) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OPls), _u20953)) )).
% 39.89/40.11 cnf(fact_eq__int__code_I3_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OPls), _u20954)) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u20954))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_eq__int__code_I9_J ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_eq__int__code_I9_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OBit0(_u20956)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), _u20956), c_Int_OPls)) )).
% 39.89/40.11 cnf(fact_eq__int__code_I9_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), _u20957), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OBit0(_u20957)), c_Int_OPls)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_eq__int__code_I8_J ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_eq__int__code_I8_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u20959))) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OMin), _u20959)) )).
% 39.89/40.11 cnf(fact_eq__int__code_I8_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OMin), _u20960)) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u20960))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_eq__int__code_I12_J ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_eq__int__code_I12_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OBit1(_u20962)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), _u20962), c_Int_OMin)) )).
% 39.89/40.11 cnf(fact_eq__int__code_I12_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), _u20963), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OBit1(_u20963)), c_Int_OMin)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_eq__int__code_I5_J ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_eq__int__code_I5_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OMin), c_Int_OPls)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_eq__int__code_I2_J ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_eq__int__code_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OPls), c_Int_OMin)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_bool_Osize_I3_J ( axiom ) converted to clauses:
% 39.89/40.11 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)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_bool_Osize_I4_J ( axiom ) converted to clauses:
% 39.89/40.11 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)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_New__Random__Sequence_Oneg__decr__bind__def ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_New__Random__Sequence_Oneg__decr__bind__def-1, axiom, ( ( c_New__Random__Sequence_Oneg__decr__bind(_u20964, _u20965, _u20966, _u20967, _u20968, _u20969, _u20970) = c_New__DSequence_Oneg__decr__bind(_u20964, _u20965, hAPP(hAPP(hAPP(_u20966, _u20968), _u20969), _u20970), hAPP(hAPP(c_COMBC(_u20964, 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(_u20965)))), hAPP(hAPP(c_COMBC(_u20964, 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(_u20965))))), hAPP(hAPP(c_COMBC(_u20964, 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(_u20965)))))), _u20967), _u20968)), _u20969)), _u20970))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_New__DSequence_Oneg__bind__def ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_New__DSequence_Oneg__bind__def-1, axiom, ( ( hAPP(c_New__DSequence_Oneg__bind(_u20971, _u20972, _u20973, _u20974), _u20975) = c_Lazy__Sequence_Ohb__bind(_u20971, _u20972, hAPP(_u20973, _u20975), hAPP(hAPP(c_COMBC(_u20971, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(_u20972))), _u20974), _u20975))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_eq__int__refl ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_eq__int__refl-1, axiom, ( hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), _u20976), _u20976)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_neg__bind__def ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_neg__bind__def-1, axiom, ( ( hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__bind(_u20977, _u20978, _u20979, _u20980), _u20981), _u20982), _u20983) = c_New__DSequence_Oneg__bind(_u20977, _u20978, hAPP(hAPP(hAPP(_u20979, _u20981), _u20982), _u20983), hAPP(hAPP(c_COMBC(_u20977, 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(_u20978)))), hAPP(hAPP(c_COMBC(_u20977, 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(_u20978))))), hAPP(hAPP(c_COMBC(_u20977, 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(_u20978)))))), _u20980), _u20981)), _u20982)), _u20983))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_size__code ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_size__code-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(_u20984)), _u20985) = hAPP(c_Option_Ooption_Ooption__case(tc_Nat_Onat, tc_prod(_u20984, tc_Lazy__Sequence_Olazy__sequence(_u20984)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Product__Type_Oprod_Oprod__case(_u20984, tc_Lazy__Sequence_Olazy__sequence(_u20984), tc_Nat_Onat), hAPP(c_COMBK(tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u20984), tc_Nat_Onat), _u20984), hAPP(hAPP(c_COMBC(tc_Lazy__Sequence_Olazy__sequence(_u20984), 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(_u20984)), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(_u20984)))), c_Groups_Oone__class_Oone(tc_Nat_Onat))))), hAPP(c_Lazy__Sequence_Oyield(_u20984), _u20985))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_lazy__sequence__size__code ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_lazy__sequence__size__code-1, axiom, ( ( hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(_u20986, _u20987), _u20988) = hAPP(c_Option_Ooption_Ooption__case(tc_Nat_Onat, tc_prod(_u20986, tc_Lazy__Sequence_Olazy__sequence(_u20986)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Product__Type_Oprod_Oprod__case(_u20986, tc_Lazy__Sequence_Olazy__sequence(_u20986), tc_Nat_Onat), hAPP(hAPP(c_COMBC(_u20986, tc_Nat_Onat, tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u20986), tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u20986), tc_fun(tc_Nat_Onat, tc_Nat_Onat)), tc_fun(tc_Nat_Onat, tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u20986), tc_Nat_Onat)), _u20986), c_COMBC(tc_Lazy__Sequence_Olazy__sequence(_u20986), tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u20986), tc_Nat_Onat), tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u20986), tc_fun(tc_Nat_Onat, tc_Nat_Onat)), _u20986), hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_Lazy__Sequence_Olazy__sequence(_u20986)), c_Groups_Oplus__class_Oplus(tc_Nat_Onat))), hAPP(hAPP(c_COMBC(_u20986, tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u20986), tc_Nat_Onat), tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u20986), tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_fun(tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u20986), tc_Nat_Onat), tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u20986), tc_Nat_Onat)), _u20986), c_COMBB(tc_Nat_Onat, tc_Nat_Onat, tc_Lazy__Sequence_Olazy__sequence(_u20986))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), _u20986), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u20987))), c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(_u20986, _u20987))))), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(c_Lazy__Sequence_Oyield(_u20986), _u20988))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_seq__case ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_seq__case-1, axiom, ( ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(_u20989, _u20990, _u20991, _u20992, _u20993) = hAPP(c_Option_Ooption_Ooption__case(_u20989, tc_prod(_u20990, tc_Lazy__Sequence_Olazy__sequence(_u20990)), _u20991, hAPP(c_Product__Type_Oprod_Oprod__case(_u20990, tc_Lazy__Sequence_Olazy__sequence(_u20990), _u20989), _u20992)), hAPP(c_Lazy__Sequence_Oyield(_u20990), _u20993))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_yieldn__def ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_yieldn__def-1, axiom, ( ( c_Lazy__Sequence_Oyieldn(_u20994) = c_Lazy__Sequence_Oanamorph(tc_Lazy__Sequence_Olazy__sequence(_u20994), _u20994, c_Lazy__Sequence_Oyield(_u20994))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_lazy__sequence_Osize_I2_J ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_lazy__sequence_Osize_I2_J-1, axiom, ( ( hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(_u20995, _u20996), c_Lazy__Sequence_Olazy__sequence_OInsert(_u20995, _u20997, _u20998)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u20996, _u20997)), hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(_u20995, _u20996), _u20998))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_lazy__sequence_Osimps_I5_J ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_lazy__sequence_Osimps_I5_J-1, axiom, ( ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(_u20999, _u21000, _u21001, _u21002, c_Lazy__Sequence_Olazy__sequence_OInsert(_u21000, _u21003, _u21004)) = hAPP(hAPP(_u21002, _u21003), _u21004)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_lazy__sequence_Oinject ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_lazy__sequence_Oinject-1, axiom, ( ( c_Lazy__Sequence_Olazy__sequence_OInsert(_u21010, _u21012, _u21014) != c_Lazy__Sequence_Olazy__sequence_OInsert(_u21010, _u21016, _u21018)) | ( _u21012 = _u21016) )).
% 39.89/40.11 cnf(fact_lazy__sequence_Oinject-2, axiom, ( ( c_Lazy__Sequence_Olazy__sequence_OInsert(_u21010, _u21012, _u21014) != c_Lazy__Sequence_Olazy__sequence_OInsert(_u21010, _u21016, _u21018)) | ( _u21014 = _u21018) )).
% 39.89/40.11 cnf(fact_lazy__sequence_Oinject-3, axiom, ( ( _u21013 != _u21017) | ( _u21015 != _u21019) | ( c_Lazy__Sequence_Olazy__sequence_OInsert(_u21011, _u21013, _u21015) = c_Lazy__Sequence_Olazy__sequence_OInsert(_u21011, _u21017, _u21019)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact__01 ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact__01-1, axiom, ( ( hAPP(c_Lazy__Sequence_Oyield(_u21020), c_Lazy__Sequence_Olazy__sequence_OInsert(_u21020, _u21021, _u21022)) = hAPP(c_Option_Ooption_OSome(tc_prod(_u21020, tc_Lazy__Sequence_Olazy__sequence(_u21020))), hAPP(hAPP(c_Product__Type_OPair(_u21020, tc_Lazy__Sequence_Olazy__sequence(_u21020)), _u21021), _u21022))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_lazy__sequence_Osize_I4_J ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_lazy__sequence_Osize_I4_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(_u21023)), c_Lazy__Sequence_Olazy__sequence_OInsert(_u21023, _u21024, _u21025)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(_u21023)), _u21025)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_neg__map__def ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_neg__map__def-1, axiom, ( ( c_New__Random__Sequence_Oneg__map(_u21026, _u21027, _u21028, _u21029) = c_New__Random__Sequence_Oneg__bind(_u21026, _u21027, _u21029, hAPP(c_Fun_Ocomp(_u21027, 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(_u21027)))))), _u21026, c_New__Random__Sequence_Oneg__single(_u21027)), _u21028))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_New__DSequence_Opos__decr__bind__def ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_New__DSequence_Opos__decr__bind__def-1, axiom, ( ( _u21035 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Opos__decr__bind(_u21037, _u21039, _u21041, _u21043), _u21035) = c_Lazy__Sequence_Oempty(_u21039)) )).
% 39.89/40.11 cnf(fact_New__DSequence_Opos__decr__bind__def-2, axiom, ( ( _u21036 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Opos__decr__bind(_u21038, _u21040, _u21042, _u21044), _u21036) = c_Lazy__Sequence_Obind(_u21038, _u21040, hAPP(_u21042, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u21036), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))), hAPP(hAPP(c_COMBC(_u21038, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u21040)), _u21044), _u21036))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: fact_New__Random__Sequence_Opos__decr__bind__def ( axiom ) converted to clauses:
% 39.89/40.11 cnf(fact_New__Random__Sequence_Opos__decr__bind__def-1, axiom, ( ( c_New__Random__Sequence_Opos__decr__bind(_u21045, _u21046, _u21047, _u21048, _u21049, _u21050, _u21051) = c_New__DSequence_Opos__decr__bind(_u21045, _u21046, hAPP(hAPP(hAPP(_u21047, _u21049), _u21050), _u21051), hAPP(hAPP(c_COMBC(_u21045, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u21046))), hAPP(hAPP(c_COMBC(_u21045, 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(_u21046)))), hAPP(hAPP(c_COMBC(_u21045, 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(_u21046))))), _u21048), _u21049)), _u21050)), _u21051))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_HOL__Obool__Lattices_Obounded__lattice ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_HOL__Obool__Lattices_Obounded__lattice-1, axiom, ( class_Lattices_Obounded__lattice(tc_HOL_Obool) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_fun__Lattices_Obounded__lattice ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_fun__Lattices_Obounded__lattice-1, axiom, ( ~class_Lattices_Obounded__lattice(_u21052) | class_Lattices_Obounded__lattice(tc_fun(_u21053, _u21052)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_fun__Complete__Lattice_Ocomplete__lattice ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_fun__Complete__Lattice_Ocomplete__lattice-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u21054) | class_Complete__Lattice_Ocomplete__lattice(tc_fun(_u21055, _u21054)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_fun__Lattices_Obounded__lattice__top ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_fun__Lattices_Obounded__lattice__top-1, axiom, ( ~class_Lattices_Obounded__lattice(_u21056) | class_Lattices_Obounded__lattice__top(tc_fun(_u21057, _u21056)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_fun__Lattices_Obounded__lattice__bot ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_fun__Lattices_Obounded__lattice__bot-1, axiom, ( ~class_Lattices_Obounded__lattice(_u21058) | class_Lattices_Obounded__lattice__bot(tc_fun(_u21059, _u21058)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_fun__Lattices_Osemilattice__sup ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_fun__Lattices_Osemilattice__sup-1, axiom, ( ~class_Lattices_Olattice(_u21060) | class_Lattices_Osemilattice__sup(tc_fun(_u21061, _u21060)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_fun__Lattices_Osemilattice__inf ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_fun__Lattices_Osemilattice__inf-1, axiom, ( ~class_Lattices_Olattice(_u21062) | class_Lattices_Osemilattice__inf(tc_fun(_u21063, _u21062)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_fun__Lattices_Odistrib__lattice ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_fun__Lattices_Odistrib__lattice-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u21064) | class_Lattices_Odistrib__lattice(tc_fun(_u21065, _u21064)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_fun__Lattices_Oboolean__algebra ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_fun__Lattices_Oboolean__algebra-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u21066) | class_Lattices_Oboolean__algebra(tc_fun(_u21067, _u21066)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_fun__Orderings_Opreorder ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_fun__Orderings_Opreorder-1, axiom, ( ~class_Orderings_Opreorder(_u21068) | class_Orderings_Opreorder(tc_fun(_u21069, _u21068)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_fun__Finite__Set_Ofinite ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_fun__Finite__Set_Ofinite-1, axiom, ( ~class_Finite__Set_Ofinite(_u21070) | ~class_Finite__Set_Ofinite(_u21071) | class_Finite__Set_Ofinite(tc_fun(_u21070, _u21071)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_fun__Lattices_Olattice ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_fun__Lattices_Olattice-1, axiom, ( ~class_Lattices_Olattice(_u21072) | class_Lattices_Olattice(tc_fun(_u21073, _u21072)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_fun__Orderings_Oorder ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_fun__Orderings_Oorder-1, axiom, ( ~class_Orderings_Oorder(_u21074) | class_Orderings_Oorder(tc_fun(_u21075, _u21074)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_fun__Orderings_Otop ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_fun__Orderings_Otop-1, axiom, ( ~class_Orderings_Otop(_u21076) | class_Orderings_Otop(tc_fun(_u21077, _u21076)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_fun__Orderings_Oord ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_fun__Orderings_Oord-1, axiom, ( ~class_Orderings_Oord(_u21078) | class_Orderings_Oord(tc_fun(_u21079, _u21078)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_fun__Orderings_Obot ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_fun__Orderings_Obot-1, axiom, ( ~class_Orderings_Obot(_u21080) | class_Orderings_Obot(tc_fun(_u21081, _u21080)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_fun__Groups_Ouminus ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_fun__Groups_Ouminus-1, axiom, ( ~class_Groups_Ouminus(_u21082) | class_Groups_Ouminus(tc_fun(_u21083, _u21082)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_fun__Groups_Ominus ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_fun__Groups_Ominus-1, axiom, ( ~class_Groups_Ominus(_u21084) | class_Groups_Ominus(tc_fun(_u21085, _u21084)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_fun__HOL_Oequal ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_fun__HOL_Oequal-1, axiom, ( ~class_Enum_Oenum(_u21086) | ~class_HOL_Oequal(_u21087) | class_HOL_Oequal(tc_fun(_u21086, _u21087)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_fun__Enum_Oenum ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_fun__Enum_Oenum-1, axiom, ( ~class_Enum_Oenum(_u21088) | ~class_Enum_Oenum(_u21089) | class_Enum_Oenum(tc_fun(_u21088, _u21089)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Com__Ocom__HOL_Oequal ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Com__Ocom__HOL_Oequal-1, axiom, ( class_HOL_Oequal(tc_Com_Ocom) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Com__Ocom__Nat_Osize ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Com__Ocom__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_Com_Ocom) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct-1, axiom, ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le-1, axiom, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Int__Oint__Rings_Olinordered__comm__semiring__strict ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Int__Oint__Rings_Olinordered__comm__semiring__strict-1, axiom, ( class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Int__Oint__Rings_Olinordered__semiring__1__strict ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Int__Oint__Rings_Olinordered__semiring__1__strict-1, axiom, ( class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Int__Oint__Groups_Olinordered__ab__semigroup__add ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Int__Oint__Groups_Olinordered__ab__semigroup__add-1, axiom, ( class_Groups_Olinordered__ab__semigroup__add(tc_Int_Oint) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Int__Oint__Rings_Olinordered__semiring__strict ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Int__Oint__Rings_Olinordered__semiring__strict-1, axiom, ( class_Rings_Olinordered__semiring__strict(tc_Int_Oint) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Int__Oint__Groups_Oordered__ab__semigroup__add ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Int__Oint__Groups_Oordered__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Int__Oint__Groups_Oordered__ab__group__add__abs ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Int__Oint__Groups_Oordered__ab__group__add__abs-1, axiom, ( class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Int__Oint__Groups_Oordered__comm__monoid__add ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Int__Oint__Groups_Oordered__comm__monoid__add-1, axiom, ( class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Int__Oint__Groups_Olinordered__ab__group__add ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Int__Oint__Groups_Olinordered__ab__group__add-1, axiom, ( class_Groups_Olinordered__ab__group__add(tc_Int_Oint) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Int__Oint__Groups_Ocancel__ab__semigroup__add ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Int__Oint__Groups_Ocancel__ab__semigroup__add-1, axiom, ( class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Int__Oint__Rings_Oring__1__no__zero__divisors ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Int__Oint__Rings_Oring__1__no__zero__divisors-1, axiom, ( class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Int__Oint__Rings_Oordered__cancel__semiring ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Int__Oint__Rings_Oordered__cancel__semiring-1, axiom, ( class_Rings_Oordered__cancel__semiring(tc_Int_Oint) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Int__Oint__Rings_Olinordered__ring__strict ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Int__Oint__Rings_Olinordered__ring__strict-1, axiom, ( class_Rings_Olinordered__ring__strict(tc_Int_Oint) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Int__Oint__Rings_Oring__no__zero__divisors ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Int__Oint__Rings_Oring__no__zero__divisors-1, axiom, ( class_Rings_Oring__no__zero__divisors(tc_Int_Oint) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Int__Oint__Rings_Oordered__comm__semiring ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Int__Oint__Rings_Oordered__comm__semiring-1, axiom, ( class_Rings_Oordered__comm__semiring(tc_Int_Oint) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Int__Oint__Rings_Olinordered__semiring__1 ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Int__Oint__Rings_Olinordered__semiring__1-1, axiom, ( class_Rings_Olinordered__semiring__1(tc_Int_Oint) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Int__Oint__Groups_Oordered__ab__group__add ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Int__Oint__Groups_Oordered__ab__group__add-1, axiom, ( class_Groups_Oordered__ab__group__add(tc_Int_Oint) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Int__Oint__Groups_Ocancel__semigroup__add ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Int__Oint__Groups_Ocancel__semigroup__add-1, axiom, ( class_Groups_Ocancel__semigroup__add(tc_Int_Oint) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Int__Oint__Rings_Olinordered__semiring ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Int__Oint__Rings_Olinordered__semiring-1, axiom, ( class_Rings_Olinordered__semiring(tc_Int_Oint) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Int__Oint__Rings_Olinordered__semidom ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Int__Oint__Rings_Olinordered__semidom-1, axiom, ( class_Rings_Olinordered__semidom(tc_Int_Oint) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Int__Oint__Lattices_Osemilattice__sup ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Int__Oint__Lattices_Osemilattice__sup-1, axiom, ( class_Lattices_Osemilattice__sup(tc_Int_Oint) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Int__Oint__Lattices_Osemilattice__inf ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Int__Oint__Lattices_Osemilattice__inf-1, axiom, ( class_Lattices_Osemilattice__inf(tc_Int_Oint) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Int__Oint__Lattices_Odistrib__lattice ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Int__Oint__Lattices_Odistrib__lattice-1, axiom, ( class_Lattices_Odistrib__lattice(tc_Int_Oint) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Int__Oint__Groups_Oab__semigroup__mult ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Int__Oint__Groups_Oab__semigroup__mult-1, axiom, ( class_Groups_Oab__semigroup__mult(tc_Int_Oint) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Int__Oint__Groups_Ocomm__monoid__mult ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Int__Oint__Groups_Ocomm__monoid__mult-1, axiom, ( class_Groups_Ocomm__monoid__mult(tc_Int_Oint) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Int__Oint__Groups_Oab__semigroup__add ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Int__Oint__Groups_Oab__semigroup__add-1, axiom, ( class_Groups_Oab__semigroup__add(tc_Int_Oint) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Int__Oint__Rings_Oordered__semiring ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Int__Oint__Rings_Oordered__semiring-1, axiom, ( class_Rings_Oordered__semiring(tc_Int_Oint) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Int__Oint__Rings_Oordered__ring__abs ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Int__Oint__Rings_Oordered__ring__abs-1, axiom, ( class_Rings_Oordered__ring__abs(tc_Int_Oint) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Int__Oint__Rings_Ono__zero__divisors ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Int__Oint__Rings_Ono__zero__divisors-1, axiom, ( class_Rings_Ono__zero__divisors(tc_Int_Oint) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Int__Oint__Groups_Ocomm__monoid__add ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Int__Oint__Groups_Ocomm__monoid__add-1, axiom, ( class_Groups_Ocomm__monoid__add(tc_Int_Oint) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Int__Oint__Rings_Olinordered__ring ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Int__Oint__Rings_Olinordered__ring-1, axiom, ( class_Rings_Olinordered__ring(tc_Int_Oint) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Int__Oint__Rings_Olinordered__idom ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Int__Oint__Rings_Olinordered__idom-1, axiom, ( class_Rings_Olinordered__idom(tc_Int_Oint) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Int__Oint__Rings_Ocomm__semiring__1 ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Int__Oint__Rings_Ocomm__semiring__1-1, axiom, ( class_Rings_Ocomm__semiring__1(tc_Int_Oint) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Int__Oint__Groups_Osemigroup__add ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Int__Oint__Groups_Osemigroup__add-1, axiom, ( class_Groups_Osemigroup__add(tc_Int_Oint) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Int__Oint__Divides_Osemiring__div ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Int__Oint__Divides_Osemiring__div-1, axiom, ( class_Divides_Osemiring__div(tc_Int_Oint) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Int__Oint__Rings_Ocomm__semiring ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Int__Oint__Rings_Ocomm__semiring-1, axiom, ( class_Rings_Ocomm__semiring(tc_Int_Oint) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Int__Oint__Nat_Osemiring__char__0 ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Int__Oint__Nat_Osemiring__char__0-1, axiom, ( class_Nat_Osemiring__char__0(tc_Int_Oint) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Int__Oint__Groups_Oab__group__add ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Int__Oint__Groups_Oab__group__add-1, axiom, ( class_Groups_Oab__group__add(tc_Int_Oint) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Int__Oint__Rings_Ozero__neq__one ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Int__Oint__Rings_Ozero__neq__one-1, axiom, ( class_Rings_Ozero__neq__one(tc_Int_Oint) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Int__Oint__Rings_Oordered__ring ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Int__Oint__Rings_Oordered__ring-1, axiom, ( class_Rings_Oordered__ring(tc_Int_Oint) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Int__Oint__Orderings_Opreorder ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Int__Oint__Orderings_Opreorder-1, axiom, ( class_Orderings_Opreorder(tc_Int_Oint) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Int__Oint__Orderings_Olinorder ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Int__Oint__Orderings_Olinorder-1, axiom, ( class_Orderings_Olinorder(tc_Int_Oint) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Int__Oint__Groups_Omonoid__mult ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Int__Oint__Groups_Omonoid__mult-1, axiom, ( class_Groups_Omonoid__mult(tc_Int_Oint) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Int__Oint__Rings_Ocomm__ring__1 ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Int__Oint__Rings_Ocomm__ring__1-1, axiom, ( class_Rings_Ocomm__ring__1(tc_Int_Oint) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Int__Oint__Groups_Omonoid__add ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Int__Oint__Groups_Omonoid__add-1, axiom, ( class_Groups_Omonoid__add(tc_Int_Oint) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Int__Oint__Smallcheck_Osmall ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Int__Oint__Smallcheck_Osmall-1, axiom, ( class_Smallcheck_Osmall(tc_Int_Oint) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Int__Oint__Rings_Osemiring__1 ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Int__Oint__Rings_Osemiring__1-1, axiom, ( class_Rings_Osemiring__1(tc_Int_Oint) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Int__Oint__Rings_Osemiring__0 ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Int__Oint__Rings_Osemiring__0-1, axiom, ( class_Rings_Osemiring__0(tc_Int_Oint) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Int__Oint__Lattices_Olattice ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Int__Oint__Lattices_Olattice-1, axiom, ( class_Lattices_Olattice(tc_Int_Oint) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Int__Oint__Groups_Ogroup__add ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Int__Oint__Groups_Ogroup__add-1, axiom, ( class_Groups_Ogroup__add(tc_Int_Oint) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Int__Oint__Divides_Oring__div ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Int__Oint__Divides_Oring__div-1, axiom, ( class_Divides_Oring__div(tc_Int_Oint) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Int__Oint__Rings_Omult__zero ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Int__Oint__Rings_Omult__zero-1, axiom, ( class_Rings_Omult__zero(tc_Int_Oint) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Int__Oint__Orderings_Oorder ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Int__Oint__Orderings_Oorder-1, axiom, ( class_Orderings_Oorder(tc_Int_Oint) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Int__Oint__Int_Oring__char__0 ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Int__Oint__Int_Oring__char__0-1, axiom, ( class_Int_Oring__char__0(tc_Int_Oint) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Int__Oint__Int_Onumber__ring ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Int__Oint__Int_Onumber__ring-1, axiom, ( class_Int_Onumber__ring(tc_Int_Oint) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Int__Oint__Rings_Osemiring ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Int__Oint__Rings_Osemiring-1, axiom, ( class_Rings_Osemiring(tc_Int_Oint) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Int__Oint__Orderings_Oord ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Int__Oint__Orderings_Oord-1, axiom, ( class_Orderings_Oord(tc_Int_Oint) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Int__Oint__Groups_Ouminus ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Int__Oint__Groups_Ouminus-1, axiom, ( class_Groups_Ouminus(tc_Int_Oint) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Int__Oint__Groups_Osgn__if ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Int__Oint__Groups_Osgn__if-1, axiom, ( class_Groups_Osgn__if(tc_Int_Oint) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Int__Oint__Groups_Oabs__if ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Int__Oint__Groups_Oabs__if-1, axiom, ( class_Groups_Oabs__if(tc_Int_Oint) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Int__Oint__Rings_Oring__1 ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Int__Oint__Rings_Oring__1-1, axiom, ( class_Rings_Oring__1(tc_Int_Oint) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Int__Oint__Groups_Ominus ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Int__Oint__Groups_Ominus-1, axiom, ( class_Groups_Ominus(tc_Int_Oint) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Int__Oint__Power_Opower ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Int__Oint__Power_Opower-1, axiom, ( class_Power_Opower(tc_Int_Oint) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Int__Oint__Groups_Ozero ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Int__Oint__Groups_Ozero-1, axiom, ( class_Groups_Ozero(tc_Int_Oint) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Int__Oint__Rings_Oring ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Int__Oint__Rings_Oring-1, axiom, ( class_Rings_Oring(tc_Int_Oint) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Int__Oint__Rings_Oidom ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Int__Oint__Rings_Oidom-1, axiom, ( class_Rings_Oidom(tc_Int_Oint) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Int__Oint__Int_Onumber ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Int__Oint__Int_Onumber-1, axiom, ( class_Int_Onumber(tc_Int_Oint) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Int__Oint__Groups_Oone ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Int__Oint__Groups_Oone-1, axiom, ( class_Groups_Oone(tc_Int_Oint) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Int__Oint__HOL_Oequal ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Int__Oint__HOL_Oequal-1, axiom, ( class_HOL_Oequal(tc_Int_Oint) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct-1, axiom, ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le-1, axiom, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict-1, axiom, ( class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Nat__Onat__Groups_Olinordered__ab__semigroup__add ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Nat__Onat__Groups_Olinordered__ab__semigroup__add-1, axiom, ( class_Groups_Olinordered__ab__semigroup__add(tc_Nat_Onat) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Nat__Onat__Rings_Olinordered__semiring__strict ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Nat__Onat__Rings_Olinordered__semiring__strict-1, axiom, ( class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Nat__Onat__Groups_Oordered__ab__semigroup__add ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Nat__Onat__Groups_Oordered__comm__monoid__add ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Nat__Onat__Groups_Oordered__comm__monoid__add-1, axiom, ( class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add-1, axiom, ( class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Nat__Onat__Rings_Oordered__cancel__semiring ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Nat__Onat__Rings_Oordered__cancel__semiring-1, axiom, ( class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Nat__Onat__Rings_Oordered__comm__semiring ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Nat__Onat__Rings_Oordered__comm__semiring-1, axiom, ( class_Rings_Oordered__comm__semiring(tc_Nat_Onat) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Nat__Onat__Groups_Ocancel__semigroup__add ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Nat__Onat__Groups_Ocancel__semigroup__add-1, axiom, ( class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Nat__Onat__Rings_Olinordered__semiring ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Nat__Onat__Rings_Olinordered__semiring-1, axiom, ( class_Rings_Olinordered__semiring(tc_Nat_Onat) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Nat__Onat__Rings_Olinordered__semidom ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Nat__Onat__Rings_Olinordered__semidom-1, axiom, ( class_Rings_Olinordered__semidom(tc_Nat_Onat) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Nat__Onat__Lattices_Osemilattice__sup ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Nat__Onat__Lattices_Osemilattice__sup-1, axiom, ( class_Lattices_Osemilattice__sup(tc_Nat_Onat) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Nat__Onat__Lattices_Osemilattice__inf ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Nat__Onat__Lattices_Osemilattice__inf-1, axiom, ( class_Lattices_Osemilattice__inf(tc_Nat_Onat) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Nat__Onat__Lattices_Odistrib__lattice ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Nat__Onat__Lattices_Odistrib__lattice-1, axiom, ( class_Lattices_Odistrib__lattice(tc_Nat_Onat) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Nat__Onat__Groups_Oab__semigroup__mult ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Nat__Onat__Groups_Oab__semigroup__mult-1, axiom, ( class_Groups_Oab__semigroup__mult(tc_Nat_Onat) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Nat__Onat__Groups_Ocomm__monoid__mult ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Nat__Onat__Groups_Ocomm__monoid__mult-1, axiom, ( class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Nat__Onat__Groups_Oab__semigroup__add ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Nat__Onat__Groups_Oab__semigroup__add-1, axiom, ( class_Groups_Oab__semigroup__add(tc_Nat_Onat) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Nat__Onat__Rings_Oordered__semiring ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Nat__Onat__Rings_Oordered__semiring-1, axiom, ( class_Rings_Oordered__semiring(tc_Nat_Onat) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Nat__Onat__Rings_Ono__zero__divisors ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Nat__Onat__Rings_Ono__zero__divisors-1, axiom, ( class_Rings_Ono__zero__divisors(tc_Nat_Onat) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Nat__Onat__Groups_Ocomm__monoid__add ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Nat__Onat__Groups_Ocomm__monoid__add-1, axiom, ( class_Groups_Ocomm__monoid__add(tc_Nat_Onat) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Nat__Onat__Rings_Ocomm__semiring__1 ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Nat__Onat__Rings_Ocomm__semiring__1-1, axiom, ( class_Rings_Ocomm__semiring__1(tc_Nat_Onat) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Nat__Onat__Groups_Osemigroup__add ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Nat__Onat__Groups_Osemigroup__add-1, axiom, ( class_Groups_Osemigroup__add(tc_Nat_Onat) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Nat__Onat__Divides_Osemiring__div ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Nat__Onat__Divides_Osemiring__div-1, axiom, ( class_Divides_Osemiring__div(tc_Nat_Onat) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Nat__Onat__Rings_Ocomm__semiring ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Nat__Onat__Rings_Ocomm__semiring-1, axiom, ( class_Rings_Ocomm__semiring(tc_Nat_Onat) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Nat__Onat__Orderings_Owellorder ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Nat__Onat__Orderings_Owellorder-1, axiom, ( class_Orderings_Owellorder(tc_Nat_Onat) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Nat__Onat__Nat_Osemiring__char__0 ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Nat__Onat__Nat_Osemiring__char__0-1, axiom, ( class_Nat_Osemiring__char__0(tc_Nat_Onat) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Nat__Onat__Rings_Ozero__neq__one ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Nat__Onat__Rings_Ozero__neq__one-1, axiom, ( class_Rings_Ozero__neq__one(tc_Nat_Onat) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Nat__Onat__Orderings_Opreorder ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Nat__Onat__Orderings_Opreorder-1, axiom, ( class_Orderings_Opreorder(tc_Nat_Onat) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Nat__Onat__Orderings_Olinorder ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Nat__Onat__Orderings_Olinorder-1, axiom, ( class_Orderings_Olinorder(tc_Nat_Onat) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Nat__Onat__Groups_Omonoid__mult ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Nat__Onat__Groups_Omonoid__mult-1, axiom, ( class_Groups_Omonoid__mult(tc_Nat_Onat) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Nat__Onat__Groups_Omonoid__add ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Nat__Onat__Groups_Omonoid__add-1, axiom, ( class_Groups_Omonoid__add(tc_Nat_Onat) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Nat__Onat__Rings_Osemiring__1 ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Nat__Onat__Rings_Osemiring__1-1, axiom, ( class_Rings_Osemiring__1(tc_Nat_Onat) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Nat__Onat__Rings_Osemiring__0 ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Nat__Onat__Rings_Osemiring__0-1, axiom, ( class_Rings_Osemiring__0(tc_Nat_Onat) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Nat__Onat__Lattices_Olattice ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Nat__Onat__Lattices_Olattice-1, axiom, ( class_Lattices_Olattice(tc_Nat_Onat) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Nat__Onat__Rings_Omult__zero ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Nat__Onat__Rings_Omult__zero-1, axiom, ( class_Rings_Omult__zero(tc_Nat_Onat) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Nat__Onat__Orderings_Oorder ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Nat__Onat__Orderings_Oorder-1, axiom, ( class_Orderings_Oorder(tc_Nat_Onat) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Nat__Onat__Rings_Osemiring ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Nat__Onat__Rings_Osemiring-1, axiom, ( class_Rings_Osemiring(tc_Nat_Onat) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Nat__Onat__Orderings_Oord ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Nat__Onat__Orderings_Oord-1, axiom, ( class_Orderings_Oord(tc_Nat_Onat) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Nat__Onat__Orderings_Obot ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Nat__Onat__Orderings_Obot-1, axiom, ( class_Orderings_Obot(tc_Nat_Onat) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Nat__Onat__Groups_Ominus ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Nat__Onat__Groups_Ominus-1, axiom, ( class_Groups_Ominus(tc_Nat_Onat) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Nat__Onat__Power_Opower ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Nat__Onat__Power_Opower-1, axiom, ( class_Power_Opower(tc_Nat_Onat) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Nat__Onat__Groups_Ozero ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Nat__Onat__Groups_Ozero-1, axiom, ( class_Groups_Ozero(tc_Nat_Onat) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Nat__Onat__Int_Onumber ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Nat__Onat__Int_Onumber-1, axiom, ( class_Int_Onumber(tc_Nat_Onat) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Nat__Onat__Groups_Oone ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Nat__Onat__Groups_Oone-1, axiom, ( class_Groups_Oone(tc_Nat_Onat) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Nat__Onat__HOL_Oequal ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Nat__Onat__HOL_Oequal-1, axiom, ( class_HOL_Oequal(tc_Nat_Onat) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Nat__Onat__Nat_Osize ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Nat__Onat__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_Nat_Onat) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_HOL__Obool__Complete__Lattice_Ocomplete__lattice ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_HOL__Obool__Complete__Lattice_Ocomplete__lattice-1, axiom, ( class_Complete__Lattice_Ocomplete__lattice(tc_HOL_Obool) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_HOL__Obool__Lattices_Obounded__lattice__top ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_HOL__Obool__Lattices_Obounded__lattice__top-1, axiom, ( class_Lattices_Obounded__lattice__top(tc_HOL_Obool) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_HOL__Obool__Lattices_Obounded__lattice__bot ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_HOL__Obool__Lattices_Obounded__lattice__bot-1, axiom, ( class_Lattices_Obounded__lattice__bot(tc_HOL_Obool) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_HOL__Obool__Lattices_Osemilattice__sup ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_HOL__Obool__Lattices_Osemilattice__sup-1, axiom, ( class_Lattices_Osemilattice__sup(tc_HOL_Obool) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_HOL__Obool__Lattices_Osemilattice__inf ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_HOL__Obool__Lattices_Osemilattice__inf-1, axiom, ( class_Lattices_Osemilattice__inf(tc_HOL_Obool) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_HOL__Obool__Lattices_Odistrib__lattice ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_HOL__Obool__Lattices_Odistrib__lattice-1, axiom, ( class_Lattices_Odistrib__lattice(tc_HOL_Obool) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_HOL__Obool__Lattices_Oboolean__algebra ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_HOL__Obool__Lattices_Oboolean__algebra-1, axiom, ( class_Lattices_Oboolean__algebra(tc_HOL_Obool) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_HOL__Obool__Orderings_Opreorder ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_HOL__Obool__Orderings_Opreorder-1, axiom, ( class_Orderings_Opreorder(tc_HOL_Obool) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_HOL__Obool__Finite__Set_Ofinite ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_HOL__Obool__Finite__Set_Ofinite-1, axiom, ( class_Finite__Set_Ofinite(tc_HOL_Obool) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_HOL__Obool__Lattices_Olattice ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_HOL__Obool__Lattices_Olattice-1, axiom, ( class_Lattices_Olattice(tc_HOL_Obool) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_HOL__Obool__Orderings_Oorder ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_HOL__Obool__Orderings_Oorder-1, axiom, ( class_Orderings_Oorder(tc_HOL_Obool) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_HOL__Obool__Orderings_Otop ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_HOL__Obool__Orderings_Otop-1, axiom, ( class_Orderings_Otop(tc_HOL_Obool) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_HOL__Obool__Orderings_Oord ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_HOL__Obool__Orderings_Oord-1, axiom, ( class_Orderings_Oord(tc_HOL_Obool) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_HOL__Obool__Orderings_Obot ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_HOL__Obool__Orderings_Obot-1, axiom, ( class_Orderings_Obot(tc_HOL_Obool) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_HOL__Obool__Groups_Ouminus ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_HOL__Obool__Groups_Ouminus-1, axiom, ( class_Groups_Ouminus(tc_HOL_Obool) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_HOL__Obool__Groups_Ominus ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_HOL__Obool__Groups_Ominus-1, axiom, ( class_Groups_Ominus(tc_HOL_Obool) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_HOL__Obool__HOL_Oequal ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_HOL__Obool__HOL_Oequal-1, axiom, ( class_HOL_Oequal(tc_HOL_Obool) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_HOL__Obool__Enum_Oenum ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_HOL__Obool__Enum_Oenum-1, axiom, ( class_Enum_Oenum(tc_HOL_Obool) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_HOL__Obool__Nat_Osize ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_HOL__Obool__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_HOL_Obool) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Com__Ostate__HOL_Oequal ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Com__Ostate__HOL_Oequal-1, axiom, ( class_HOL_Oequal(tc_Com_Ostate) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Com__Ostate__Nat_Osize ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Com__Ostate__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_Com_Ostate) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Com__Ovname__HOL_Oequal ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Com__Ovname__HOL_Oequal-1, axiom, ( class_HOL_Oequal(tc_Com_Ovname) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Com__Ovname__Nat_Osize ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Com__Ovname__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_Com_Ovname) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_List__Olist__HOL_Oequal ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_List__Olist__HOL_Oequal-1, axiom, ( class_HOL_Oequal(tc_List_Olist(_u21090)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_List__Olist__Nat_Osize ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_List__Olist__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_List_Olist(_u21091)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_sum__Finite__Set_Ofinite ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_sum__Finite__Set_Ofinite-1, axiom, ( ~class_Finite__Set_Ofinite(_u21092) | ~class_Finite__Set_Ofinite(_u21093) | class_Finite__Set_Ofinite(tc_sum(_u21092, _u21093)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_sum__HOL_Oequal ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_sum__HOL_Oequal-1, axiom, ( class_HOL_Oequal(tc_sum(_u21094, _u21095)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_sum__Enum_Oenum ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_sum__Enum_Oenum-1, axiom, ( ~class_Enum_Oenum(_u21096) | ~class_Enum_Oenum(_u21097) | class_Enum_Oenum(tc_sum(_u21096, _u21097)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_sum__Nat_Osize ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_sum__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_sum(_u21098, _u21099)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Option__Ooption__Finite__Set_Ofinite ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Option__Ooption__Finite__Set_Ofinite-1, axiom, ( ~class_Finite__Set_Ofinite(_u21100) | class_Finite__Set_Ofinite(tc_Option_Ooption(_u21100)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Option__Ooption__HOL_Oequal ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Option__Ooption__HOL_Oequal-1, axiom, ( class_HOL_Oequal(tc_Option_Ooption(_u21101)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Option__Ooption__Enum_Oenum ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Option__Ooption__Enum_Oenum-1, axiom, ( ~class_Enum_Oenum(_u21102) | class_Enum_Oenum(tc_Option_Ooption(_u21102)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Option__Ooption__Nat_Osize ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Option__Ooption__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_Option_Ooption(_u21103)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_prod__Finite__Set_Ofinite ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_prod__Finite__Set_Ofinite-1, axiom, ( ~class_Finite__Set_Ofinite(_u21104) | ~class_Finite__Set_Ofinite(_u21105) | class_Finite__Set_Ofinite(tc_prod(_u21104, _u21105)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_prod__Smallcheck_Osmall ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_prod__Smallcheck_Osmall-1, axiom, ( ~class_Smallcheck_Osmall(_u21106) | ~class_Smallcheck_Osmall(_u21107) | class_Smallcheck_Osmall(tc_prod(_u21106, _u21107)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_prod__HOL_Oequal ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_prod__HOL_Oequal-1, axiom, ( class_HOL_Oequal(tc_prod(_u21108, _u21109)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_prod__Enum_Oenum ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_prod__Enum_Oenum-1, axiom, ( ~class_Enum_Oenum(_u21110) | ~class_Enum_Oenum(_u21111) | class_Enum_Oenum(tc_prod(_u21110, _u21111)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_prod__Nat_Osize ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_prod__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_prod(_u21112, _u21113)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Product____Type__Ounit__Finite__Set_Ofinite ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Product____Type__Ounit__Finite__Set_Ofinite-1, axiom, ( class_Finite__Set_Ofinite(tc_Product__Type_Ounit) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Product____Type__Ounit__Smallcheck_Osmall ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Product____Type__Ounit__Smallcheck_Osmall-1, axiom, ( class_Smallcheck_Osmall(tc_Product__Type_Ounit) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Product____Type__Ounit__HOL_Oequal ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Product____Type__Ounit__HOL_Oequal-1, axiom, ( class_HOL_Oequal(tc_Product__Type_Ounit) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Product____Type__Ounit__Enum_Oenum ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Product____Type__Ounit__Enum_Oenum-1, axiom, ( class_Enum_Oenum(tc_Product__Type_Ounit) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Product____Type__Ounit__Nat_Osize ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Product____Type__Ounit__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_Product__Type_Ounit) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Code____Evaluation__Oterm__HOL_Oequal ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Code____Evaluation__Oterm__HOL_Oequal-1, axiom, ( class_HOL_Oequal(tc_Code__Evaluation_Oterm) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Code____Evaluation__Oterm__Nat_Osize ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Code____Evaluation__Oterm__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_Code__Evaluation_Oterm) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Hoare____Mirabelle__Otriple__HOL_Oequal ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Hoare____Mirabelle__Otriple__HOL_Oequal-1, axiom, ( class_HOL_Oequal(tc_Hoare__Mirabelle_Otriple(_u21114)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Hoare____Mirabelle__Otriple__Nat_Osize ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Hoare____Mirabelle__Otriple__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_Hoare__Mirabelle_Otriple(_u21115)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oordered__cancel__ab__semigroup__add ( axiom ) converted to clauses:
% 39.89/40.11 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) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add__imp__le ( axiom ) converted to clauses:
% 39.89/40.11 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) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__comm__semiring__strict ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__comm__semiring__strict-1, axiom, ( class_Rings_Olinordered__comm__semiring__strict(tc_Code__Numeral_Ocode__numeral) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Olinordered__ab__semigroup__add ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Olinordered__ab__semigroup__add-1, axiom, ( class_Groups_Olinordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring__strict ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring__strict-1, axiom, ( class_Rings_Olinordered__semiring__strict(tc_Code__Numeral_Ocode__numeral) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oordered__comm__monoid__add ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__comm__monoid__add-1, axiom, ( class_Groups_Oordered__comm__monoid__add(tc_Code__Numeral_Ocode__numeral) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__ab__semigroup__add ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__ab__semigroup__add-1, axiom, ( class_Groups_Ocancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Oordered__cancel__semiring ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__cancel__semiring-1, axiom, ( class_Rings_Oordered__cancel__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Oordered__comm__semiring ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__comm__semiring-1, axiom, ( class_Rings_Oordered__comm__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__semigroup__add ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__semigroup__add-1, axiom, ( class_Groups_Ocancel__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring-1, axiom, ( class_Rings_Olinordered__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semidom ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semidom-1, axiom, ( class_Rings_Olinordered__semidom(tc_Code__Numeral_Ocode__numeral) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__mult ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__mult-1, axiom, ( class_Groups_Oab__semigroup__mult(tc_Code__Numeral_Ocode__numeral) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__mult ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__mult-1, axiom, ( class_Groups_Ocomm__monoid__mult(tc_Code__Numeral_Ocode__numeral) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__add ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__add-1, axiom, ( class_Groups_Oab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Oordered__semiring ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__semiring-1, axiom, ( class_Rings_Oordered__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Ono__zero__divisors ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Ono__zero__divisors-1, axiom, ( class_Rings_Ono__zero__divisors(tc_Code__Numeral_Ocode__numeral) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__add ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__add-1, axiom, ( class_Groups_Ocomm__monoid__add(tc_Code__Numeral_Ocode__numeral) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring__1 ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring__1-1, axiom, ( class_Rings_Ocomm__semiring__1(tc_Code__Numeral_Ocode__numeral) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Osemigroup__add ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Osemigroup__add-1, axiom, ( class_Groups_Osemigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Code____Numeral__Ocode____numeral__Divides_Osemiring__div ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Code____Numeral__Ocode____numeral__Divides_Osemiring__div-1, axiom, ( class_Divides_Osemiring__div(tc_Code__Numeral_Ocode__numeral) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring-1, axiom, ( class_Rings_Ocomm__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Code____Numeral__Ocode____numeral__Nat_Osemiring__char__0 ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Code____Numeral__Ocode____numeral__Nat_Osemiring__char__0-1, axiom, ( class_Nat_Osemiring__char__0(tc_Code__Numeral_Ocode__numeral) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Ozero__neq__one ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Ozero__neq__one-1, axiom, ( class_Rings_Ozero__neq__one(tc_Code__Numeral_Ocode__numeral) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Code____Numeral__Ocode____numeral__Orderings_Opreorder ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Code____Numeral__Ocode____numeral__Orderings_Opreorder-1, axiom, ( class_Orderings_Opreorder(tc_Code__Numeral_Ocode__numeral) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Code____Numeral__Ocode____numeral__Orderings_Olinorder ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Code____Numeral__Ocode____numeral__Orderings_Olinorder-1, axiom, ( class_Orderings_Olinorder(tc_Code__Numeral_Ocode__numeral) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__mult ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__mult-1, axiom, ( class_Groups_Omonoid__mult(tc_Code__Numeral_Ocode__numeral) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__add ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__add-1, axiom, ( class_Groups_Omonoid__add(tc_Code__Numeral_Ocode__numeral) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__1 ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__1-1, axiom, ( class_Rings_Osemiring__1(tc_Code__Numeral_Ocode__numeral) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__0 ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__0-1, axiom, ( class_Rings_Osemiring__0(tc_Code__Numeral_Ocode__numeral) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Omult__zero ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Omult__zero-1, axiom, ( class_Rings_Omult__zero(tc_Code__Numeral_Ocode__numeral) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Code____Numeral__Ocode____numeral__Orderings_Oorder ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Code____Numeral__Ocode____numeral__Orderings_Oorder-1, axiom, ( class_Orderings_Oorder(tc_Code__Numeral_Ocode__numeral) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Osemiring ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring-1, axiom, ( class_Rings_Osemiring(tc_Code__Numeral_Ocode__numeral) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Code____Numeral__Ocode____numeral__Orderings_Oord ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Code____Numeral__Ocode____numeral__Orderings_Oord-1, axiom, ( class_Orderings_Oord(tc_Code__Numeral_Ocode__numeral) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Ominus ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Ominus-1, axiom, ( class_Groups_Ominus(tc_Code__Numeral_Ocode__numeral) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Code____Numeral__Ocode____numeral__Power_Opower ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Code____Numeral__Ocode____numeral__Power_Opower-1, axiom, ( class_Power_Opower(tc_Code__Numeral_Ocode__numeral) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Ozero ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Ozero-1, axiom, ( class_Groups_Ozero(tc_Code__Numeral_Ocode__numeral) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Code____Numeral__Ocode____numeral__Int_Onumber ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Code____Numeral__Ocode____numeral__Int_Onumber-1, axiom, ( class_Int_Onumber(tc_Code__Numeral_Ocode__numeral) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oone ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Oone-1, axiom, ( class_Groups_Oone(tc_Code__Numeral_Ocode__numeral) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Code____Numeral__Ocode____numeral__HOL_Oequal ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Code____Numeral__Ocode____numeral__HOL_Oequal-1, axiom, ( class_HOL_Oequal(tc_Code__Numeral_Ocode__numeral) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Code____Numeral__Ocode____numeral__Nat_Osize ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Code____Numeral__Ocode____numeral__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_Code__Numeral_Ocode__numeral) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Lazy____Sequence__Olazy____sequence__HOL_Oequal ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Lazy____Sequence__Olazy____sequence__HOL_Oequal-1, axiom, ( class_HOL_Oequal(tc_Lazy__Sequence_Olazy__sequence(_u21116)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: arity_Lazy____Sequence__Olazy____sequence__Nat_Osize ( axiom ) converted to clauses:
% 39.89/40.11 cnf(arity_Lazy____Sequence__Olazy____sequence__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_Lazy__Sequence_Olazy__sequence(_u21117)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: help_c__COMBI__1 ( axiom ) converted to clauses:
% 39.89/40.11 cnf(help_c__COMBI__1-1, axiom, ( ( hAPP(c_COMBI(_u21118), _u21119) = _u21119) )).
% 39.89/40.11
% 39.89/40.11 % Formula: help_c__COMBK__1 ( axiom ) converted to clauses:
% 39.89/40.11 cnf(help_c__COMBK__1-1, axiom, ( ( hAPP(hAPP(c_COMBK(_u21120, _u21121), _u21122), _u21123) = _u21122) )).
% 39.89/40.11
% 39.89/40.11 % Formula: help_c__COMBB__1 ( axiom ) converted to clauses:
% 39.89/40.11 cnf(help_c__COMBB__1-1, axiom, ( ( hAPP(hAPP(hAPP(c_COMBB(_u21124, _u21125, _u21126), _u21127), _u21128), _u21129) = hAPP(_u21127, hAPP(_u21128, _u21129))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: help_c__COMBC__1 ( axiom ) converted to clauses:
% 39.89/40.11 cnf(help_c__COMBC__1-1, axiom, ( ( hAPP(hAPP(hAPP(c_COMBC(_u21130, _u21131, _u21132), _u21133), _u21134), _u21135) = hAPP(hAPP(_u21133, _u21135), _u21134)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: help_c__COMBS__1 ( axiom ) converted to clauses:
% 39.89/40.11 cnf(help_c__COMBS__1-1, axiom, ( ( hAPP(hAPP(hAPP(c_COMBS(_u21136, _u21137, _u21138), _u21139), _u21140), _u21141) = hAPP(hAPP(_u21139, _u21141), hAPP(_u21140, _u21141))) )).
% 39.89/40.11
% 39.89/40.11 % Formula: help_c__fequal__1 ( axiom ) converted to clauses:
% 39.89/40.11 cnf(help_c__fequal__1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_fequal, _u21142), _u21143)) | ( _u21142 = _u21143) )).
% 39.89/40.11
% 39.89/40.11 % Formula: help_c__fequal__2 ( axiom ) converted to clauses:
% 39.89/40.11 cnf(help_c__fequal__2-1, axiom, ( ( _u21144 != _u21145) | hBOOL(hAPP(hAPP(c_fequal, _u21144), _u21145)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: help_c__fFalse__1 ( axiom ) converted to clauses:
% 39.89/40.11 cnf(help_c__fFalse__1-1, axiom, ( ~hBOOL(c_fFalse) )).
% 39.89/40.11
% 39.89/40.11 % Formula: help_c__fTrue__1 ( axiom ) converted to clauses:
% 39.89/40.11 cnf(help_c__fTrue__1-1, axiom, ( hBOOL(c_fTrue) )).
% 39.89/40.11
% 39.89/40.11 % Formula: help_c__fNot__1 ( axiom ) converted to clauses:
% 39.89/40.11 cnf(help_c__fNot__1-1, axiom, ( ~hBOOL(hAPP(c_fNot, _u21146)) | ~hBOOL(_u21146) )).
% 39.89/40.11
% 39.89/40.11 % Formula: help_c__fNot__2 ( axiom ) converted to clauses:
% 39.89/40.11 cnf(help_c__fNot__2-1, axiom, ( hBOOL(_u21147) | hBOOL(hAPP(c_fNot, _u21147)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: help_c__fconj__1 ( axiom ) converted to clauses:
% 39.89/40.11 cnf(help_c__fconj__1-1, axiom, ( ~hBOOL(_u21149) | ~hBOOL(_u21148) | hBOOL(hAPP(hAPP(c_fconj, _u21148), _u21149)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: help_c__fconj__2 ( axiom ) converted to clauses:
% 39.89/40.11 cnf(help_c__fconj__2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_fconj, _u21150), _u21151)) | hBOOL(_u21150) )).
% 39.89/40.11
% 39.89/40.11 % Formula: help_c__fconj__3 ( axiom ) converted to clauses:
% 39.89/40.11 cnf(help_c__fconj__3-1, axiom, ( hBOOL(_u21153) | ~hBOOL(hAPP(hAPP(c_fconj, _u21152), _u21153)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: help_c__fdisj__1 ( axiom ) converted to clauses:
% 39.89/40.11 cnf(help_c__fdisj__1-1, axiom, ( ~hBOOL(_u21154) | hBOOL(hAPP(hAPP(c_fdisj, _u21154), _u21155)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: help_c__fdisj__2 ( axiom ) converted to clauses:
% 39.89/40.11 cnf(help_c__fdisj__2-1, axiom, ( ~hBOOL(_u21156) | hBOOL(hAPP(hAPP(c_fdisj, _u21157), _u21156)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: help_c__fdisj__3 ( axiom ) converted to clauses:
% 39.89/40.11 cnf(help_c__fdisj__3-1, axiom, ( hBOOL(_u21159) | ~hBOOL(hAPP(hAPP(c_fdisj, _u21158), _u21159)) | hBOOL(_u21158) )).
% 39.89/40.11
% 39.89/40.11 % Formula: help_c__fimplies__1 ( axiom ) converted to clauses:
% 39.89/40.11 cnf(help_c__fimplies__1-1, axiom, ( hBOOL(_u21160) | hBOOL(hAPP(hAPP(c_fimplies, _u21160), _u21161)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: help_c__fimplies__2 ( axiom ) converted to clauses:
% 39.89/40.11 cnf(help_c__fimplies__2-1, axiom, ( ~hBOOL(_u21162) | hBOOL(hAPP(hAPP(c_fimplies, _u21163), _u21162)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: help_c__fimplies__3 ( axiom ) converted to clauses:
% 39.89/40.11 cnf(help_c__fimplies__3-1, axiom, ( hBOOL(_u21165) | ~hBOOL(hAPP(hAPP(c_fimplies, _u21164), _u21165)) | ~hBOOL(_u21164) )).
% 39.89/40.11
% 39.89/40.11 % Formula: conj_0 ( hypothesis ) converted to clauses:
% 39.89/40.11 cnf(conj_0-1, hypothesis, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool)), v_G), v_Ga)) )).
% 39.89/40.11
% 39.89/40.11 % Formula: conj_1 ( conjecture ) (definitionally) converted to clauses:
% 39.89/40.11 cnf(conj_1-1, negated_conjecture, ( ~c_Hoare__Mirabelle_Ohoare__derivs(t_a, v_Ga, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), c_Hoare__Mirabelle_Otriple_Otriple(t_a, v_P, c_Com_Ocom_OSKIP, v_P)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool)))) )).
% 39.89/40.11
% 39.89/40.11 % Problem matrix:
% 39.89/40.11 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 39.89/40.11 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 39.89/40.11 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 39.89/40.11 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( hAPP(__eqx_0, __eqx_1) = hAPP(__eqy_0, __eqy_1)) )).
% 39.89/40.11 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( tc_Hoare__Mirabelle_Otriple(__eqx_0) = tc_Hoare__Mirabelle_Otriple(__eqy_0)) )).
% 39.89/40.11 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( tc_fun(__eqx_0, __eqx_1) = tc_fun(__eqy_0, __eqy_1)) )).
% 39.89/40.11 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( c_Orderings_Obot__class_Obot(__eqx_0) = c_Orderings_Obot__class_Obot(__eqy_0)) )).
% 39.89/40.11 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( c_Set_Oinsert(__eqx_0) = c_Set_Oinsert(__eqy_0)) )).
% 39.89/40.11 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Hoare__Mirabelle_Otriple_Otriple(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Hoare__Mirabelle_Otriple_Otriple(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.11 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( c_Orderings_Oord__class_Oless__eq(__eqx_0) = c_Orderings_Oord__class_Oless__eq(__eqy_0)) )).
% 39.89/40.11 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Hoare__Mirabelle_Otriple_Otriple__rec(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Hoare__Mirabelle_Otriple_Otriple__rec(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.11 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Hoare__Mirabelle_Otriple_Otriple__case(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Hoare__Mirabelle_Otriple_Otriple__case(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.11 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)) )).
% 39.89/40.11 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_COMBK(__eqx_0, __eqx_1) = c_COMBK(__eqy_0, __eqy_1)) )).
% 39.89/40.11 cnf(matrix-14, 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)) )).
% 39.89/40.11 cnf(matrix-15, 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)) )).
% 39.89/40.11 cnf(matrix-16, 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)) )).
% 39.89/40.11 cnf(matrix-17, 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)) )).
% 39.89/40.11 cnf(matrix-18, 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)) )).
% 39.89/40.11 cnf(matrix-19, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Com_Ocom_OAss(__eqx_0, __eqx_1) = c_Com_Ocom_OAss(__eqy_0, __eqy_1)) )).
% 39.89/40.11 cnf(matrix-20, plain, ( ( __eqx_0 != __eqy_0) | ( c_Enum_Oenum__class_Oenum__all(__eqx_0) = c_Enum_Oenum__class_Oenum__all(__eqy_0)) )).
% 39.89/40.11 cnf(matrix-21, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_HOL_OThe(__eqx_0, __eqx_1) = c_HOL_OThe(__eqy_0, __eqy_1)) )).
% 39.89/40.11 cnf(matrix-22, 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)) )).
% 39.89/40.11 cnf(matrix-23, 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)) )).
% 39.89/40.11 cnf(matrix-24, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Predicate_OPowp(__eqx_0, __eqx_1) = c_Predicate_OPowp(__eqy_0, __eqy_1)) )).
% 39.89/40.11 cnf(matrix-25, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Orderings_Oord__class_OLeast(__eqx_0, __eqx_1) = c_Orderings_Oord__class_OLeast(__eqy_0, __eqy_1)) )).
% 39.89/40.11 cnf(matrix-26, plain, ( ( __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) | ( c_Com_Ocom_Ocom__case(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7, __eqx_8, __eqx_9) = c_Com_Ocom_Ocom__case(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7, __eqy_8, __eqy_9)) )).
% 39.89/40.11 cnf(matrix-27, plain, ( ( __eqx_0 != __eqy_0) | ( c_Com_Ovname_OLoc(__eqx_0) = c_Com_Ovname_OLoc(__eqy_0)) )).
% 39.89/40.11 cnf(matrix-28, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Natural_Ogetlocs(__eqx_0, __eqx_1) = c_Natural_Ogetlocs(__eqy_0, __eqy_1)) )).
% 39.89/40.11 cnf(matrix-29, 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)) )).
% 39.89/40.11 cnf(matrix-30, 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)) )).
% 39.89/40.11 cnf(matrix-31, 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)) )).
% 39.89/40.11 cnf(matrix-32, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Com_Ovname_Ovname__rec(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Com_Ovname_Ovname__rec(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.11 cnf(matrix-33, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Com_Ovname_Ovname__case(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Com_Ovname_Ovname__case(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.11 cnf(matrix-34, plain, ( ( __eqx_0 != __eqy_0) | ( c_Natural_Oevalc(__eqx_0) = c_Natural_Oevalc(__eqy_0)) )).
% 39.89/40.11 cnf(matrix-35, plain, ( ( __eqx_0 != __eqy_0) | ( c_Hoare__Mirabelle_OMGT(__eqx_0) = c_Hoare__Mirabelle_OMGT(__eqy_0)) )).
% 39.89/40.11 cnf(matrix-36, plain, ( ( __eqx_0 != __eqy_0) | ( c_Com_Ovname_OGlb(__eqx_0) = c_Com_Ovname_OGlb(__eqy_0)) )).
% 39.89/40.11 cnf(matrix-37, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_Fun_Ooverride__on(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Fun_Ooverride__on(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 39.89/40.11 cnf(matrix-38, plain, ( ( __eqx_0 != __eqy_0) | ( c_Set_OPow(__eqx_0) = c_Set_OPow(__eqy_0)) )).
% 39.89/40.11 cnf(matrix-39, plain, ( ( __eqx_0 != __eqy_0) | ( c_Set_OCollect(__eqx_0) = c_Set_OCollect(__eqy_0)) )).
% 39.89/40.11 cnf(matrix-40, plain, ( ( __eqx_0 != __eqy_0) | ( c_member(__eqx_0) = c_member(__eqy_0)) )).
% 39.89/40.11 cnf(matrix-41, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lattices_Osemilattice__sup__class_Osup(__eqx_0) = c_Lattices_Osemilattice__sup__class_Osup(__eqy_0)) )).
% 39.89/40.11 cnf(matrix-42, 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)) )).
% 39.89/40.11 cnf(matrix-43, plain, ( ( __eqx_0 != __eqy_0) | ( c_COMBI(__eqx_0) = c_COMBI(__eqy_0)) )).
% 39.89/40.11 cnf(matrix-44, 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)) )).
% 39.89/40.11 cnf(matrix-45, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Ominus__class_Ominus(__eqx_0) = c_Groups_Ominus__class_Ominus(__eqy_0)) )).
% 39.89/40.11 cnf(matrix-46, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Inductive_Ocomplete__lattice__class_Ogfp(__eqx_0, __eqx_1) = c_Inductive_Ocomplete__lattice__class_Ogfp(__eqy_0, __eqy_1)) )).
% 39.89/40.11 cnf(matrix-47, plain, ( ( __eqx_0 != __eqy_0) | ( c_If(__eqx_0) = c_If(__eqy_0)) )).
% 39.89/40.11 cnf(matrix-48, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lattices_Osemilattice__inf__class_Oinf(__eqx_0) = c_Lattices_Osemilattice__inf__class_Oinf(__eqy_0)) )).
% 39.89/40.11 cnf(matrix-49, 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)) )).
% 39.89/40.11 cnf(matrix-50, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Inductive_Ocomplete__lattice__class_Olfp(__eqx_0, __eqx_1) = c_Inductive_Ocomplete__lattice__class_Olfp(__eqy_0, __eqy_1)) )).
% 39.89/40.11 cnf(matrix-51, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Fun_Ofun__upd(__eqx_0, __eqx_1) = c_Fun_Ofun__upd(__eqy_0, __eqy_1)) )).
% 39.89/40.11 cnf(matrix-52, plain, ( ( __eqx_0 != __eqy_0) | ( c_Orderings_Oord__class_Oless(__eqx_0) = c_Orderings_Oord__class_Oless(__eqy_0)) )).
% 39.89/40.11 cnf(matrix-53, plain, ( ( __eqx_0 != __eqy_0) | ( c_Enum_Oenum__class_Oenum__ex(__eqx_0) = c_Enum_Oenum__class_Oenum__ex(__eqy_0)) )).
% 39.89/40.11 cnf(matrix-54, plain, ( ( __eqx_0 != __eqy_0) | ( tc_Option_Ooption(__eqx_0) = tc_Option_Ooption(__eqy_0)) )).
% 39.89/40.11 cnf(matrix-55, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Map_Odom(__eqx_0, __eqx_1, __eqx_2) = c_Map_Odom(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.11 cnf(matrix-56, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Map_Orestrict__map(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Map_Orestrict__map(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.11 cnf(matrix-57, 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)) )).
% 39.89/40.11 cnf(matrix-58, plain, ( ( __eqx_0 != __eqy_0) | ( c_Option_Ooption_ONone(__eqx_0) = c_Option_Ooption_ONone(__eqy_0)) )).
% 39.89/40.11 cnf(matrix-59, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( tc_prod(__eqx_0, __eqx_1) = tc_prod(__eqy_0, __eqy_1)) )).
% 39.89/40.11 cnf(matrix-60, plain, ( ( __eqx_0 != __eqy_0) | ( c_Equiv__Relations_Oquotient(__eqx_0) = c_Equiv__Relations_Oquotient(__eqy_0)) )).
% 39.89/40.11 cnf(matrix-61, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Map_Omap__add(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Map_Omap__add(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.11 cnf(matrix-62, plain, ( ( __eqx_0 != __eqy_0) | ( c_Finite__Set_Ofinite(__eqx_0) = c_Finite__Set_Ofinite(__eqy_0)) )).
% 39.89/40.11 cnf(matrix-63, 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)) )).
% 39.89/40.11 cnf(matrix-64, plain, ( ( __eqx_0 != __eqy_0) | ( c_Option_Ooption_OSome(__eqx_0) = c_Option_Ooption_OSome(__eqy_0)) )).
% 39.89/40.11 cnf(matrix-65, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Ouminus__class_Ouminus(__eqx_0) = c_Groups_Ouminus__class_Ouminus(__eqy_0)) )).
% 39.89/40.11 cnf(matrix-66, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Map_Oran(__eqx_0, __eqx_1, __eqx_2) = c_Map_Oran(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.11 cnf(matrix-67, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Option_Oset(__eqx_0, __eqx_1) = c_Option_Oset(__eqy_0, __eqy_1)) )).
% 39.89/40.11 cnf(matrix-68, 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)) )).
% 39.89/40.11 cnf(matrix-69, 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)) )).
% 39.89/40.11 cnf(matrix-70, 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)) )).
% 39.89/40.11 cnf(matrix-71, 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)) )).
% 39.89/40.11 cnf(matrix-72, 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)) )).
% 39.89/40.11 cnf(matrix-73, 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)) )).
% 39.89/40.11 cnf(matrix-74, 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)) )).
% 39.89/40.11 cnf(matrix-75, 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)) )).
% 39.89/40.11 cnf(matrix-76, 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)) )).
% 39.89/40.11 cnf(matrix-77, 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)) )).
% 39.89/40.11 cnf(matrix-78, plain, ( ( __eqx_0 != __eqy_0) | ( c_HOL_OEx(__eqx_0) = c_HOL_OEx(__eqy_0)) )).
% 39.89/40.11 cnf(matrix-79, 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)) )).
% 39.89/40.11 cnf(matrix-80, 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)) )).
% 39.89/40.11 cnf(matrix-81, 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)) )).
% 39.89/40.11 cnf(matrix-82, plain, ( ( __eqx_0 != __eqy_0) | ( c_Relation_OField(__eqx_0) = c_Relation_OField(__eqy_0)) )).
% 39.89/40.11 cnf(matrix-83, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Oplus__class_Oplus(__eqx_0) = c_Groups_Oplus__class_Oplus(__eqy_0)) )).
% 39.89/40.11 cnf(matrix-84, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Option_Ooption_Ooption__case(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Option_Ooption_Ooption__case(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.11 cnf(matrix-85, 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)) )).
% 39.89/40.12 cnf(matrix-86, plain, ( ( __eqx_0 != __eqy_0) | ( c_Orderings_Otop__class_Otop(__eqx_0) = c_Orderings_Otop__class_Otop(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-87, plain, ( ( __eqx_0 != __eqy_0) | ( c_Finite__Set_Ocard(__eqx_0) = c_Finite__Set_Ocard(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-88, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( tc_sum(__eqx_0, __eqx_1) = tc_sum(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-89, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Oone__class_Oone(__eqx_0) = c_Groups_Oone__class_Oone(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-90, 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)) )).
% 39.89/40.12 cnf(matrix-91, 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)) )).
% 39.89/40.12 cnf(matrix-92, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Smallcheck_Oorelse(__eqx_0, __eqx_1, __eqx_2) = c_Smallcheck_Oorelse(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-93, 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)) )).
% 39.89/40.12 cnf(matrix-94, 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)) )).
% 39.89/40.12 cnf(matrix-95, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Otimes__class_Otimes(__eqx_0) = c_Groups_Otimes__class_Otimes(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-96, plain, ( ( __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_Map_Omap__comp(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = c_Map_Omap__comp(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 39.89/40.12 cnf(matrix-97, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Ozero__class_Ozero(__eqx_0) = c_Groups_Ozero__class_Ozero(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-98, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_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)) )).
% 39.89/40.12 cnf(matrix-99, plain, ( ( __eqx_0 != __eqy_0) | ( c_Orderings_Oord__class_Omin(__eqx_0) = c_Orderings_Oord__class_Omin(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-100, 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)) )).
% 39.89/40.12 cnf(matrix-101, plain, ( ( __eqx_0 != __eqy_0) | ( c_Com_Ovname_Ovname__size(__eqx_0) = c_Com_Ovname_Ovname__size(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-102, 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)) )).
% 39.89/40.12 cnf(matrix-103, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nat_Osize__class_Osize(__eqx_0) = c_Nat_Osize__class_Osize(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-104, 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)) )).
% 39.89/40.12 cnf(matrix-105, 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)) )).
% 39.89/40.12 cnf(matrix-106, plain, ( ( __eqx_0 != __eqy_0) | ( c_SetInterval_Oord__class_OlessThan(__eqx_0) = c_SetInterval_Oord__class_OlessThan(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-107, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nat_Osemiring__1__class_Oof__nat(__eqx_0) = c_Nat_Osemiring__1__class_Oof__nat(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-108, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Option_Ooption_Ooption__size(__eqx_0, __eqx_1, __eqx_2) = c_Option_Ooption_Ooption__size(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-109, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_Oring__1__class_OInts(__eqx_0) = c_Int_Oring__1__class_OInts(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-110, plain, ( ( __eqx_0 != __eqy_0) | ( c_Com_Ocom_Ocom__size(__eqx_0) = c_Com_Ocom_Ocom__size(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-111, 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)) )).
% 39.89/40.12 cnf(matrix-112, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nat_Onat_Onat__size(__eqx_0) = c_Nat_Onat_Onat__size(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-113, plain, ( ( __eqx_0 != __eqy_0) | ( c_Wellfounded_Omeasure(__eqx_0) = c_Wellfounded_Omeasure(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-114, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Wellfounded_Omlex__prod(__eqx_0, __eqx_1, __eqx_2) = c_Wellfounded_Omlex__prod(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-115, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Smallcheck_Osmall_H(__eqx_0, __eqx_1, __eqx_2) = c_Smallcheck_Osmall_H(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-116, plain, ( ( __eqx_0 != __eqy_0) | ( tc_List_Olist(__eqx_0) = tc_List_Olist(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-117, 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)) )).
% 39.89/40.12 cnf(matrix-118, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Wellfounded_Oaccp(__eqx_0, __eqx_1) = c_Wellfounded_Oaccp(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-119, 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)) )).
% 39.89/40.12 cnf(matrix-120, 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)) )).
% 39.89/40.12 cnf(matrix-121, plain, ( ( __eqx_0 != __eqy_0) | ( c_Power_Opower__class_Opower(__eqx_0) = c_Power_Opower__class_Opower(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-122, 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)) )).
% 39.89/40.12 cnf(matrix-123, 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)) )).
% 39.89/40.12 cnf(matrix-124, 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)) )).
% 39.89/40.12 cnf(matrix-125, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Divides_Odivmod__int__rel(__eqx_0, __eqx_1) = c_Divides_Odivmod__int__rel(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-126, 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)) )).
% 39.89/40.12 cnf(matrix-127, plain, ( ( __eqx_0 != __eqy_0) | ( c_Divides_Odiv__class_Odiv(__eqx_0) = c_Divides_Odiv__class_Odiv(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-128, plain, ( ( __eqx_0 != __eqy_0) | ( c_Wellfounded_Ofinite__psubset(__eqx_0) = c_Wellfounded_Ofinite__psubset(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-129, 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)) )).
% 39.89/40.12 cnf(matrix-130, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_SMT_Oz3div(__eqx_0, __eqx_1) = c_SMT_Oz3div(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-131, 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)) )).
% 39.89/40.12 cnf(matrix-132, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_HOL_OLet(__eqx_0, __eqx_1) = c_HOL_OLet(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-133, 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)) )).
% 39.89/40.12 cnf(matrix-134, plain, ( ( __eqx_0 != __eqy_0) | ( c_Orderings_Oord__class_Omax(__eqx_0) = c_Orderings_Oord__class_Omax(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-135, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_SMT_Oz3mod(__eqx_0, __eqx_1) = c_SMT_Oz3mod(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-136, 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)) )).
% 39.89/40.12 cnf(matrix-137, 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)) )).
% 39.89/40.12 cnf(matrix-138, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Divides_Odivmod__nat__rel(__eqx_0, __eqx_1) = c_Divides_Odivmod__nat__rel(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-139, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Divides_OnegDivAlg(__eqx_0, __eqx_1) = c_Divides_OnegDivAlg(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-140, 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)) )).
% 39.89/40.12 cnf(matrix-141, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Divides_OposDivAlg(__eqx_0, __eqx_1) = c_Divides_OposDivAlg(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-142, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_Oint__ge__less__than(__eqx_0) = c_Int_Oint__ge__less__than(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-143, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_Oint__ge__less__than2(__eqx_0) = c_Int_Oint__ge__less__than2(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-144, 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)) )).
% 39.89/40.12 cnf(matrix-145, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Relation_Oinv__image(__eqx_0, __eqx_1) = c_Relation_Oinv__image(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-146, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_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)) )).
% 39.89/40.12 cnf(matrix-147, 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)) )).
% 39.89/40.12 cnf(matrix-148, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_FunDef_Orp__inv__image(__eqx_0, __eqx_1) = c_FunDef_Orp__inv__image(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-149, 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)) )).
% 39.89/40.12 cnf(matrix-150, 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)) )).
% 39.89/40.12 cnf(matrix-151, 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)) )).
% 39.89/40.12 cnf(matrix-152, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_Onumber__class_Onumber__of(__eqx_0) = c_Int_Onumber__class_Onumber__of(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-153, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_OBit1(__eqx_0) = c_Int_OBit1(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-154, 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)) )).
% 39.89/40.12 cnf(matrix-155, 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)) )).
% 39.89/40.12 cnf(matrix-156, 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)) )).
% 39.89/40.12 cnf(matrix-157, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_Osucc(__eqx_0) = c_Int_Osucc(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-158, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_OBit0(__eqx_0) = c_Int_OBit0(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-159, plain, ( ( __eqx_0 != __eqy_0) | ( c_Divides_Oadjust(__eqx_0) = c_Divides_Oadjust(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-160, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_Oring__1__class_Oof__int(__eqx_0) = c_Int_Oring__1__class_Oof__int(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-161, 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)) )).
% 39.89/40.12 cnf(matrix-162, plain, ( ( __eqx_0 != __eqy_0) | ( c_Smallcheck_Osmall__class_Osmall(__eqx_0) = c_Smallcheck_Osmall__class_Osmall(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-163, 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)) )).
% 39.89/40.12 cnf(matrix-164, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_Opred(__eqx_0) = c_Int_Opred(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-165, 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)) )).
% 39.89/40.12 cnf(matrix-166, 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)) )).
% 39.89/40.12 cnf(matrix-167, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Smallcheck_Ofull__small__class_Ofull__small(__eqx_0, __eqx_1, __eqx_2) = c_Smallcheck_Ofull__small__class_Ofull__small(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-168, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Smallcheck_Ofull__small_H(__eqx_0, __eqx_1, __eqx_2) = c_Smallcheck_Ofull__small_H(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-169, 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)) )).
% 39.89/40.12 cnf(matrix-170, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nat_Osemiring__1__class_ONats(__eqx_0) = c_Nat_Osemiring__1__class_ONats(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-171, plain, ( ( __eqx_0 != __eqy_0) | ( c_Rings_Oinverse__class_Odivide(__eqx_0) = c_Rings_Oinverse__class_Odivide(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-172, plain, ( ( __eqx_0 != __eqy_0) | ( c_Code__Numeral_OSuc__code__numeral(__eqx_0) = c_Code__Numeral_OSuc__code__numeral(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-173, plain, ( ( __eqx_0 != __eqy_0) | ( c_SetInterval_Oord__class_OgreaterThan(__eqx_0) = c_SetInterval_Oord__class_OgreaterThan(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-174, plain, ( ( __eqx_0 != __eqy_0) | ( c_SetInterval_Oord__class_OatLeast(__eqx_0) = c_SetInterval_Oord__class_OatLeast(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-175, 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)) )).
% 39.89/40.12 cnf(matrix-176, 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)) )).
% 39.89/40.12 cnf(matrix-177, 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)) )).
% 39.89/40.12 cnf(matrix-178, plain, ( ( __eqx_0 != __eqy_0) | ( c_SetInterval_Oord__class_OatMost(__eqx_0) = c_SetInterval_Oord__class_OatMost(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-179, 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)) )).
% 39.89/40.12 cnf(matrix-180, 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)) )).
% 39.89/40.12 cnf(matrix-181, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Oabs__class_Oabs(__eqx_0) = c_Groups_Oabs__class_Oabs(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-182, 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)) )).
% 39.89/40.12 cnf(matrix-183, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Divides_Opdivmod(__eqx_0, __eqx_1) = c_Divides_Opdivmod(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-184, 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)) )).
% 39.89/40.12 cnf(matrix-185, 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)) )).
% 39.89/40.12 cnf(matrix-186, 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)) )).
% 39.89/40.12 cnf(matrix-187, 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)) )).
% 39.89/40.12 cnf(matrix-188, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Wellfounded_Oacc(__eqx_0, __eqx_1) = c_Wellfounded_Oacc(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-189, 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)) )).
% 39.89/40.12 cnf(matrix-190, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olenlex(__eqx_0, __eqx_1) = c_List_Olenlex(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-191, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olex(__eqx_0, __eqx_1) = c_List_Olex(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-192, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olexn(__eqx_0, __eqx_1) = c_List_Olexn(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-193, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nitpick_Ozero__frac(__eqx_0) = c_Nitpick_Ozero__frac(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-194, 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)) )).
% 39.89/40.12 cnf(matrix-195, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Relation_ORange(__eqx_0, __eqx_1) = c_Relation_ORange(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-196, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nitpick_Oone__frac(__eqx_0) = c_Nitpick_Oone__frac(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-197, 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)) )).
% 39.89/40.12 cnf(matrix-198, 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)) )).
% 39.89/40.12 cnf(matrix-199, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nitpick_Ofrac(__eqx_0) = c_Nitpick_Ofrac(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-200, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Relation_ODomain(__eqx_0, __eqx_1) = c_Relation_ODomain(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-201, 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)) )).
% 39.89/40.12 cnf(matrix-202, 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)) )).
% 39.89/40.12 cnf(matrix-203, plain, ( ( __eqx_0 != __eqy_0) | ( c_Fun_Oid(__eqx_0) = c_Fun_Oid(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-204, plain, ( ( __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)) )).
% 39.89/40.12 cnf(matrix-205, 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)) )).
% 39.89/40.12 cnf(matrix-206, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Option_Omap(__eqx_0, __eqx_1) = c_Option_Omap(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-207, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Map_Omap__of(__eqx_0, __eqx_1) = c_Map_Omap__of(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-208, 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)) )).
% 39.89/40.12 cnf(matrix-209, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Omap(__eqx_0, __eqx_1) = c_List_Omap(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-210, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Oset(__eqx_0) = c_List_Oset(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-211, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Olist_OCons(__eqx_0) = c_List_Olist_OCons(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-212, plain, ( ( __eqx_0 != __eqy_0) | ( c_Option_Othe(__eqx_0) = c_Option_Othe(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-213, 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)) )).
% 39.89/40.12 cnf(matrix-214, 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)) )).
% 39.89/40.12 cnf(matrix-215, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Odistinct(__eqx_0) = c_List_Odistinct(__eqy_0)) )).
% 39.89/40.12 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)) )).
% 39.89/40.12 cnf(matrix-217, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Enum_Osublists(__eqx_0, __eqx_1) = c_Enum_Osublists(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-218, 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)) )).
% 39.89/40.12 cnf(matrix-219, 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)) )).
% 39.89/40.12 cnf(matrix-220, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olexord(__eqx_0, __eqx_1) = c_List_Olexord(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-221, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olistrel(__eqx_0, __eqx_1) = c_List_Olistrel(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-222, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Oupto(__eqx_0, __eqx_1) = c_List_Oupto(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-223, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Ozip(__eqx_0, __eqx_1) = c_List_Ozip(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-224, plain, ( ( __eqx_0 != __eqy_0) | ( c_Enum_Oenum__class_Oenum(__eqx_0) = c_Enum_Oenum__class_Oenum(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-225, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Onth(__eqx_0) = c_List_Onth(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-226, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olists(__eqx_0, __eqx_1) = c_List_Olists(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-227, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Otake(__eqx_0) = c_List_Otake(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-228, 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)) )).
% 39.89/40.12 cnf(matrix-229, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_Map_Omap__upds(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Map_Omap__upds(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 39.89/40.12 cnf(matrix-230, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olistrel1(__eqx_0, __eqx_1) = c_List_Olistrel1(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-231, 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)) )).
% 39.89/40.12 cnf(matrix-232, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Omonoid__add__class_Olistsum(__eqx_0) = c_List_Omonoid__add__class_Olistsum(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-233, 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)) )).
% 39.89/40.12 cnf(matrix-234, 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)) )).
% 39.89/40.12 cnf(matrix-235, 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)) )).
% 39.89/40.12 cnf(matrix-236, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Obutlast(__eqx_0, __eqx_1) = c_List_Obutlast(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-237, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Otranspose(__eqx_0, __eqx_1) = c_List_Otranspose(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-238, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Ofilter(__eqx_0, __eqx_1) = c_List_Ofilter(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-239, 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)) )).
% 39.89/40.12 cnf(matrix-240, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_List_Omap__filter(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_List_Omap__filter(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-241, 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)) )).
% 39.89/40.12 cnf(matrix-242, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Olist_ONil(__eqx_0) = c_List_Olist_ONil(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-243, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Oupt(__eqx_0, __eqx_1) = c_List_Oupt(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-244, 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)) )).
% 39.89/40.12 cnf(matrix-245, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olistset(__eqx_0, __eqx_1) = c_List_Olistset(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-246, 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)) )).
% 39.89/40.12 cnf(matrix-247, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Otranspose__rel(__eqx_0) = c_List_Otranspose__rel(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-248, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Oreturn__list(__eqx_0) = c_List_Oreturn__list(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-249, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Oappend(__eqx_0) = c_List_Oappend(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-250, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Oembed__list(__eqx_0) = c_List_Oembed__list(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-251, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Orotate1(__eqx_0) = c_List_Orotate1(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-252, 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)) )).
% 39.89/40.12 cnf(matrix-253, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Oconcat(__eqx_0, __eqx_1) = c_List_Oconcat(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-254, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Odrop(__eqx_0) = c_List_Odrop(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-255, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Otl(__eqx_0) = c_List_Otl(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-256, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Ohd(__eqx_0) = c_List_Ohd(__eqy_0)) )).
% 39.89/40.12 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)) )).
% 39.89/40.12 cnf(matrix-258, 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)) )).
% 39.89/40.12 cnf(matrix-259, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Orotate(__eqx_0, __eqx_1) = c_List_Orotate(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-260, 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)) )).
% 39.89/40.12 cnf(matrix-261, 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)) )).
% 39.89/40.12 cnf(matrix-262, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Orev(__eqx_0) = c_List_Orev(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-263, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_List_OtakeWhile(__eqx_0, __eqx_1, __eqx_2) = c_List_OtakeWhile(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-264, 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)) )).
% 39.89/40.12 cnf(matrix-265, 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)) )).
% 39.89/40.12 cnf(matrix-266, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olast(__eqx_0, __eqx_1) = c_List_Olast(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-267, 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)) )).
% 39.89/40.12 cnf(matrix-268, plain, ( ( __eqx_0 != __eqy_0) | ( c_HOL_OAll(__eqx_0) = c_HOL_OAll(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-269, plain, ( ( __eqx_0 != __eqy_0) | ( c_Set_OBall(__eqx_0) = c_Set_OBall(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-270, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olistsp(__eqx_0, __eqx_1) = c_List_Olistsp(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-271, 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)) )).
% 39.89/40.12 cnf(matrix-272, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_OremoveAll(__eqx_0, __eqx_1) = c_List_OremoveAll(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-273, 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)) )).
% 39.89/40.12 cnf(matrix-274, 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)) )).
% 39.89/40.12 cnf(matrix-275, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Omeasures(__eqx_0, __eqx_1) = c_List_Omeasures(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-276, 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)) )).
% 39.89/40.12 cnf(matrix-277, 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)) )).
% 39.89/40.12 cnf(matrix-278, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Random_Olog(__eqx_0, __eqx_1) = c_Random_Olog(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-279, 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)) )).
% 39.89/40.12 cnf(matrix-280, 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)) )).
% 39.89/40.12 cnf(matrix-281, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Random_Oselect(__eqx_0, __eqx_1) = c_Random_Oselect(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-282, 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)) )).
% 39.89/40.12 cnf(matrix-283, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Random_Opick(__eqx_0, __eqx_1) = c_Random_Opick(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-284, plain, ( ( __eqx_0 != __eqy_0) | ( c_Random_Orange(__eqx_0) = c_Random_Orange(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-285, plain, ( ( __eqx_0 != __eqy_0) | ( c_New__DSequence_Opos__not__seq(__eqx_0) = c_New__DSequence_Opos__not__seq(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-286, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lazy__Sequence_Ohb__not__seq(__eqx_0) = c_Lazy__Sequence_Ohb__not__seq(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-287, 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)) )).
% 39.89/40.12 cnf(matrix-288, 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)) )).
% 39.89/40.12 cnf(matrix-289, plain, ( ( __eqx_0 != __eqy_0) | ( c_Relation_OId(__eqx_0) = c_Relation_OId(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-290, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Relation_Oconverse(__eqx_0, __eqx_1) = c_Relation_Oconverse(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-291, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Nat_Ocompow(__eqx_0, __eqx_1) = c_Nat_Ocompow(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-292, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nat_Ofunpow(__eqx_0) = c_Nat_Ofunpow(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-293, 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)) )).
% 39.89/40.12 cnf(matrix-294, 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)) )).
% 39.89/40.12 cnf(matrix-295, 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__rec(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Option_Ooption_Ooption__rec(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 39.89/40.12 cnf(matrix-296, 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)) )).
% 39.89/40.12 cnf(matrix-297, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nitpick_Odenom(__eqx_0) = c_Nitpick_Odenom(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-298, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nitpick_Onum(__eqx_0) = c_Nitpick_Onum(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-299, 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)) )).
% 39.89/40.12 cnf(matrix-300, 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)) )).
% 39.89/40.12 cnf(matrix-301, 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)) )).
% 39.89/40.12 cnf(matrix-302, 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)) )).
% 39.89/40.12 cnf(matrix-303, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nitpick_ORep__Frac(__eqx_0) = c_Nitpick_ORep__Frac(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-304, 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)) )).
% 39.89/40.12 cnf(matrix-305, plain, ( ( __eqx_0 != __eqy_0) | ( c_HOL_Obool_Obool__size(__eqx_0) = c_HOL_Obool_Obool__size(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-306, plain, ( ( __eqx_0 != __eqy_0) | ( c_HOL_Oequal__class_Oequal(__eqx_0) = c_HOL_Oequal__class_Oequal(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-307, 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)) )).
% 39.89/40.12 cnf(matrix-308, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lazy__Sequence_Ohit__bound(__eqx_0) = c_Lazy__Sequence_Ohit__bound(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-309, plain, ( ( __eqx_0 != __eqy_0) | ( tc_Lazy__Sequence_Olazy__sequence(__eqx_0) = tc_Lazy__Sequence_Olazy__sequence(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-310, 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)) )).
% 39.89/40.12 cnf(matrix-311, plain, ( ( __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)) )).
% 39.89/40.12 cnf(matrix-312, 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)) )).
% 39.89/40.12 cnf(matrix-313, 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)) )).
% 39.89/40.12 cnf(matrix-314, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lazy__Sequence_Oyield(__eqx_0) = c_Lazy__Sequence_Oyield(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-315, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(__eqx_0, __eqx_1) = c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-316, 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)) )).
% 39.89/40.12 cnf(matrix-317, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lazy__Sequence_Oyieldn(__eqx_0) = c_Lazy__Sequence_Oyieldn(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-318, 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)) )).
% 39.89/40.12 cnf(matrix-319, 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)) )).
% 39.89/40.12 cnf(matrix-320, plain, ( ( __eqx_0 != __eqy_0) | ( c_New__Random__Sequence_Oneg__single(__eqx_0) = c_New__Random__Sequence_Oneg__single(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-321, 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)) )).
% 39.89/40.12 cnf(matrix-322, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lazy__Sequence_Oempty(__eqx_0) = c_Lazy__Sequence_Oempty(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-323, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Lazy__Sequence_Obind(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Lazy__Sequence_Obind(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-324, plain, ( ( __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)) )).
% 39.89/40.12 cnf(matrix-325, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem1(__eqx_0, __eqx_1) = skolem1(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-326, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem2(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem2(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-327, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem3(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem3(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 39.89/40.12 cnf(matrix-328, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem4(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem4(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 39.89/40.12 cnf(matrix-329, plain, ( ( __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)) )).
% 39.89/40.12 cnf(matrix-330, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem6(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem6(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 39.89/40.12 cnf(matrix-331, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem7(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem7(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 39.89/40.12 cnf(matrix-332, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem8(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem8(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 39.89/40.12 cnf(matrix-333, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( skolem9(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem9(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 39.89/40.12 cnf(matrix-334, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( skolem10(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem10(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 39.89/40.12 cnf(matrix-335, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( skolem11(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem11(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 39.89/40.12 cnf(matrix-336, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem12(__eqx_0, __eqx_1) = skolem12(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-337, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem13(__eqx_0, __eqx_1) = skolem13(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-338, 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)) )).
% 39.89/40.12 cnf(matrix-339, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem15(__eqx_0, __eqx_1, __eqx_2) = skolem15(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-340, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem16(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem16(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-341, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem17(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem17(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 39.89/40.12 cnf(matrix-342, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem18(__eqx_0, __eqx_1, __eqx_2) = skolem18(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-343, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem19(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem19(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-344, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem20(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem20(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 39.89/40.12 cnf(matrix-345, 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)) )).
% 39.89/40.12 cnf(matrix-346, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem22(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem22(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 39.89/40.12 cnf(matrix-347, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem23(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem23(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 39.89/40.12 cnf(matrix-348, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem24(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem24(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 39.89/40.12 cnf(matrix-349, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem25(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem25(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 39.89/40.12 cnf(matrix-350, 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)) )).
% 39.89/40.12 cnf(matrix-351, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem27(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem27(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-352, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem28(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem28(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-353, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem29(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem29(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-354, 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)) )).
% 39.89/40.12 cnf(matrix-355, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem31(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem31(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-356, 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)) )).
% 39.89/40.12 cnf(matrix-357, 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)) )).
% 39.89/40.12 cnf(matrix-358, 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)) )).
% 39.89/40.12 cnf(matrix-359, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem35(__eqx_0, __eqx_1, __eqx_2) = skolem35(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-360, plain, ( ( __eqx_0 != __eqy_0) | ( skolem36(__eqx_0) = skolem36(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-361, plain, ( ( __eqx_0 != __eqy_0) | ( skolem37(__eqx_0) = skolem37(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-362, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem38(__eqx_0, __eqx_1, __eqx_2) = skolem38(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-363, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem39(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem39(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-364, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem40(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem40(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-365, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem41(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem41(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-366, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem42(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem42(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-367, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem43(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem43(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-368, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem44(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem44(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-369, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem45(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem45(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-370, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem46(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem46(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 39.89/40.12 cnf(matrix-371, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem47(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem47(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 39.89/40.12 cnf(matrix-372, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem48(__eqx_0, __eqx_1) = skolem48(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-373, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem49(__eqx_0, __eqx_1) = skolem49(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-374, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem50(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem50(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-375, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem51(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem51(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 39.89/40.12 cnf(matrix-376, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem52(__eqx_0, __eqx_1, __eqx_2) = skolem52(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-377, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem53(__eqx_0, __eqx_1, __eqx_2) = skolem53(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-378, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem54(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem54(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 39.89/40.12 cnf(matrix-379, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem55(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem55(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 39.89/40.12 cnf(matrix-380, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem56(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem56(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 39.89/40.12 cnf(matrix-381, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem57(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem57(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-382, plain, ( ( __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) | ( skolem58(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem58(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 39.89/40.12 cnf(matrix-383, plain, ( ( __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) | ( skolem59(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem59(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 39.89/40.12 cnf(matrix-384, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem60(__eqx_0, __eqx_1, __eqx_2) = skolem60(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-385, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem61(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem61(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-386, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem62(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem62(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-387, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem63(__eqx_0, __eqx_1) = skolem63(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-388, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem64(__eqx_0, __eqx_1) = skolem64(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-389, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem65(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem65(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-390, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem66(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem66(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-391, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem67(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem67(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-392, plain, ( ( __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) | ( skolem68(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem68(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 39.89/40.12 cnf(matrix-393, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem69(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem69(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-394, plain, ( ( __eqx_0 != __eqy_0) | ( skolem70(__eqx_0) = skolem70(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-395, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem71(__eqx_0, __eqx_1) = skolem71(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-396, plain, ( ( __eqx_0 != __eqy_0) | ( skolem72(__eqx_0) = skolem72(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-397, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem73(__eqx_0, __eqx_1) = skolem73(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-398, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem74(__eqx_0, __eqx_1) = skolem74(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-399, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem75(__eqx_0, __eqx_1) = skolem75(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-400, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem76(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem76(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-401, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem77(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem77(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-402, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem78(__eqx_0, __eqx_1) = skolem78(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-403, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem79(__eqx_0, __eqx_1) = skolem79(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-404, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem80(__eqx_0, __eqx_1) = skolem80(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-405, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem81(__eqx_0, __eqx_1) = skolem81(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-406, 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)) )).
% 39.89/40.12 cnf(matrix-407, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem83(__eqx_0, __eqx_1, __eqx_2) = skolem83(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-408, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem84(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem84(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 39.89/40.12 cnf(matrix-409, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem85(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem85(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-410, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem86(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem86(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-411, 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)) )).
% 39.89/40.12 cnf(matrix-412, 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)) )).
% 39.89/40.12 cnf(matrix-413, 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)) )).
% 39.89/40.12 cnf(matrix-414, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem90(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem90(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 39.89/40.12 cnf(matrix-415, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem91(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem91(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 39.89/40.12 cnf(matrix-416, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem92(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem92(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 39.89/40.12 cnf(matrix-417, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem93(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem93(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-418, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem94(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem94(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-419, 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)) )).
% 39.89/40.12 cnf(matrix-420, plain, ( ( __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) | ( skolem96(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7, __eqx_8, __eqx_9, __eqx_10) = skolem96(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7, __eqy_8, __eqy_9, __eqy_10)) )).
% 39.89/40.12 cnf(matrix-421, plain, ( ( __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) | ( skolem97(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7, __eqx_8, __eqx_9, __eqx_10) = skolem97(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7, __eqy_8, __eqy_9, __eqy_10)) )).
% 39.89/40.12 cnf(matrix-422, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( skolem98(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem98(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 39.89/40.12 cnf(matrix-423, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem99(__eqx_0, __eqx_1, __eqx_2) = skolem99(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-424, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem100(__eqx_0, __eqx_1, __eqx_2) = skolem100(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-425, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem101(__eqx_0, __eqx_1, __eqx_2) = skolem101(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-426, 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)) )).
% 39.89/40.12 cnf(matrix-427, 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)) )).
% 39.89/40.12 cnf(matrix-428, 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)) )).
% 39.89/40.12 cnf(matrix-429, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem105(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem105(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 39.89/40.12 cnf(matrix-430, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem106(__eqx_0, __eqx_1) = skolem106(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-431, plain, ( ( __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) | ( skolem107(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem107(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 39.89/40.12 cnf(matrix-432, plain, ( ( __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) | ( skolem108(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem108(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 39.89/40.12 cnf(matrix-433, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem109(__eqx_0, __eqx_1) = skolem109(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-434, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem110(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem110(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 39.89/40.12 cnf(matrix-435, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem111(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem111(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 39.89/40.12 cnf(matrix-436, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem112(__eqx_0, __eqx_1) = skolem112(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-437, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem113(__eqx_0, __eqx_1) = skolem113(__eqy_0, __eqy_1)) )).
% 39.89/40.12 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) | ( __eqx_6 != __eqy_6) | ( skolem114(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem114(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 39.89/40.12 cnf(matrix-439, 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)) )).
% 39.89/40.12 cnf(matrix-440, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem116(__eqx_0, __eqx_1) = skolem116(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-441, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem117(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem117(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-442, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem118(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem118(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 39.89/40.12 cnf(matrix-443, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem119(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem119(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-444, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem120(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem120(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 39.89/40.12 cnf(matrix-445, plain, ( ( __eqx_0 != __eqy_0) | ( skolem121(__eqx_0) = skolem121(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-446, plain, ( ( __eqx_0 != __eqy_0) | ( skolem122(__eqx_0) = skolem122(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-447, plain, ( ( __eqx_0 != __eqy_0) | ( skolem123(__eqx_0) = skolem123(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-448, plain, ( ( __eqx_0 != __eqy_0) | ( skolem124(__eqx_0) = skolem124(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-449, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem125(__eqx_0, __eqx_1) = skolem125(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-450, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem126(__eqx_0, __eqx_1) = skolem126(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-451, plain, ( ( __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) | ( skolem127(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem127(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 39.89/40.12 cnf(matrix-452, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem128(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem128(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 39.89/40.12 cnf(matrix-453, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem129(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem129(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 39.89/40.12 cnf(matrix-454, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem130(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem130(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 39.89/40.12 cnf(matrix-455, 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)) )).
% 39.89/40.12 cnf(matrix-456, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem132(__eqx_0, __eqx_1) = skolem132(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-457, plain, ( ( __eqx_0 != __eqy_0) | ( skolem133(__eqx_0) = skolem133(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-458, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem134(__eqx_0, __eqx_1, __eqx_2) = skolem134(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-459, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem135(__eqx_0, __eqx_1, __eqx_2) = skolem135(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-460, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem136(__eqx_0, __eqx_1, __eqx_2) = skolem136(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-461, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem137(__eqx_0, __eqx_1, __eqx_2) = skolem137(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-462, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem138(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem138(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-463, 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)) )).
% 39.89/40.12 cnf(matrix-464, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem140(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem140(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-465, 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)) )).
% 39.89/40.12 cnf(matrix-466, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem142(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem142(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 39.89/40.12 cnf(matrix-467, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem143(__eqx_0, __eqx_1) = skolem143(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-468, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem144(__eqx_0, __eqx_1) = skolem144(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-469, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem145(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem145(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 39.89/40.12 cnf(matrix-470, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem146(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem146(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 39.89/40.12 cnf(matrix-471, 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)) )).
% 39.89/40.12 cnf(matrix-472, 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)) )).
% 39.89/40.12 cnf(matrix-473, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem149(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem149(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 39.89/40.12 cnf(matrix-474, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem150(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem150(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 39.89/40.12 cnf(matrix-475, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem151(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem151(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 39.89/40.12 cnf(matrix-476, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem152(__eqx_0, __eqx_1) = skolem152(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-477, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem153(__eqx_0, __eqx_1) = skolem153(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-478, plain, ( ( __eqx_0 != __eqy_0) | ( skolem154(__eqx_0) = skolem154(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-479, plain, ( ( __eqx_0 != __eqy_0) | ( skolem155(__eqx_0) = skolem155(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-480, plain, ( ( __eqx_0 != __eqy_0) | ( skolem156(__eqx_0) = skolem156(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-481, plain, ( ( __eqx_0 != __eqy_0) | ( skolem157(__eqx_0) = skolem157(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-482, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem158(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem158(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 39.89/40.12 cnf(matrix-483, 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)) )).
% 39.89/40.12 cnf(matrix-484, 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)) )).
% 39.89/40.12 cnf(matrix-485, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem161(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem161(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-486, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem162(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem162(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-487, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem163(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem163(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-488, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem164(__eqx_0, __eqx_1) = skolem164(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-489, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem165(__eqx_0, __eqx_1) = skolem165(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-490, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem166(__eqx_0, __eqx_1) = skolem166(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-491, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem167(__eqx_0, __eqx_1) = skolem167(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-492, 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)) )).
% 39.89/40.12 cnf(matrix-493, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem169(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem169(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-494, 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)) )).
% 39.89/40.12 cnf(matrix-495, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem171(__eqx_0, __eqx_1, __eqx_2) = skolem171(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-496, 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)) )).
% 39.89/40.12 cnf(matrix-497, 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)) )).
% 39.89/40.12 cnf(matrix-498, 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)) )).
% 39.89/40.12 cnf(matrix-499, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem175(__eqx_0, __eqx_1) = skolem175(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-500, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem176(__eqx_0, __eqx_1) = skolem176(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-501, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem177(__eqx_0, __eqx_1) = skolem177(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-502, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem178(__eqx_0, __eqx_1, __eqx_2) = skolem178(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-503, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem179(__eqx_0, __eqx_1, __eqx_2) = skolem179(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-504, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem180(__eqx_0, __eqx_1, __eqx_2) = skolem180(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-505, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem181(__eqx_0, __eqx_1, __eqx_2) = skolem181(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-506, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem182(__eqx_0, __eqx_1, __eqx_2) = skolem182(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-507, 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)) )).
% 39.89/40.12 cnf(matrix-508, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem184(__eqx_0, __eqx_1, __eqx_2) = skolem184(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-509, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem185(__eqx_0, __eqx_1, __eqx_2) = skolem185(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-510, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem186(__eqx_0, __eqx_1, __eqx_2) = skolem186(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-511, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem187(__eqx_0, __eqx_1, __eqx_2) = skolem187(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-512, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem188(__eqx_0, __eqx_1, __eqx_2) = skolem188(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-513, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem189(__eqx_0, __eqx_1) = skolem189(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-514, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem190(__eqx_0, __eqx_1) = skolem190(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-515, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem191(__eqx_0, __eqx_1) = skolem191(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-516, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem192(__eqx_0, __eqx_1, __eqx_2) = skolem192(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-517, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem193(__eqx_0, __eqx_1, __eqx_2) = skolem193(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-518, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem194(__eqx_0, __eqx_1, __eqx_2) = skolem194(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-519, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem195(__eqx_0, __eqx_1, __eqx_2) = skolem195(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-520, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem196(__eqx_0, __eqx_1) = skolem196(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-521, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem197(__eqx_0, __eqx_1) = skolem197(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-522, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem198(__eqx_0, __eqx_1, __eqx_2) = skolem198(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-523, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem199(__eqx_0, __eqx_1, __eqx_2) = skolem199(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-524, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem200(__eqx_0, __eqx_1, __eqx_2) = skolem200(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-525, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem201(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem201(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 39.89/40.12 cnf(matrix-526, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem202(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem202(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 39.89/40.12 cnf(matrix-527, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem203(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem203(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-528, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem204(__eqx_0, __eqx_1, __eqx_2) = skolem204(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-529, plain, ( ( __eqx_0 != __eqy_0) | ( skolem205(__eqx_0) = skolem205(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-530, plain, ( ( __eqx_0 != __eqy_0) | ( skolem206(__eqx_0) = skolem206(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-531, plain, ( ( __eqx_0 != __eqy_0) | ( skolem207(__eqx_0) = skolem207(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-532, plain, ( ( __eqx_0 != __eqy_0) | ( skolem208(__eqx_0) = skolem208(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-533, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem209(__eqx_0, __eqx_1, __eqx_2) = skolem209(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-534, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem210(__eqx_0, __eqx_1) = skolem210(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-535, plain, ( ( __eqx_0 != __eqy_0) | ( skolem211(__eqx_0) = skolem211(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-536, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem212(__eqx_0, __eqx_1, __eqx_2) = skolem212(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-537, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem213(__eqx_0, __eqx_1, __eqx_2) = skolem213(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-538, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem214(__eqx_0, __eqx_1, __eqx_2) = skolem214(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-539, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem215(__eqx_0, __eqx_1, __eqx_2) = skolem215(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-540, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem216(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem216(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 39.89/40.12 cnf(matrix-541, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem217(__eqx_0, __eqx_1, __eqx_2) = skolem217(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-542, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem218(__eqx_0, __eqx_1, __eqx_2) = skolem218(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-543, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem219(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem219(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 39.89/40.12 cnf(matrix-544, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem220(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem220(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 39.89/40.12 cnf(matrix-545, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem221(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem221(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 39.89/40.12 cnf(matrix-546, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem222(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem222(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 39.89/40.12 cnf(matrix-547, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem223(__eqx_0, __eqx_1, __eqx_2) = skolem223(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-548, 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)) )).
% 39.89/40.12 cnf(matrix-549, 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)) )).
% 39.89/40.12 cnf(matrix-550, plain, ( ( __eqx_0 != __eqy_0) | ( skolem226(__eqx_0) = skolem226(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-551, plain, ( ( __eqx_0 != __eqy_0) | ( skolem227(__eqx_0) = skolem227(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-552, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem228(__eqx_0, __eqx_1, __eqx_2) = skolem228(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-553, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem229(__eqx_0, __eqx_1, __eqx_2) = skolem229(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-554, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem230(__eqx_0, __eqx_1) = skolem230(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-555, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem231(__eqx_0, __eqx_1) = skolem231(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-556, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem232(__eqx_0, __eqx_1) = skolem232(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-557, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem233(__eqx_0, __eqx_1) = skolem233(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-558, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem234(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem234(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-559, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem235(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem235(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-560, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem236(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem236(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-561, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem237(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem237(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-562, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem238(__eqx_0, __eqx_1, __eqx_2) = skolem238(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-563, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem239(__eqx_0, __eqx_1, __eqx_2) = skolem239(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-564, 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)) )).
% 39.89/40.12 cnf(matrix-565, 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)) )).
% 39.89/40.12 cnf(matrix-566, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem242(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem242(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-567, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem243(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem243(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-568, 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)) )).
% 39.89/40.12 cnf(matrix-569, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem245(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem245(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-570, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem246(__eqx_0, __eqx_1, __eqx_2) = skolem246(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-571, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem247(__eqx_0, __eqx_1, __eqx_2) = skolem247(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-572, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem248(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem248(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-573, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem249(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem249(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-574, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem250(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem250(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-575, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem251(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem251(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-576, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem252(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem252(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-577, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem253(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem253(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-578, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem254(__eqx_0, __eqx_1) = skolem254(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-579, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem255(__eqx_0, __eqx_1) = skolem255(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-580, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem256(__eqx_0, __eqx_1) = skolem256(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-581, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem257(__eqx_0, __eqx_1) = skolem257(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-582, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem258(__eqx_0, __eqx_1) = skolem258(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-583, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem259(__eqx_0, __eqx_1) = skolem259(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-584, 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)) )).
% 39.89/40.12 cnf(matrix-585, 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)) )).
% 39.89/40.12 cnf(matrix-586, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem262(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem262(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-587, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem263(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem263(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-588, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem264(__eqx_0, __eqx_1, __eqx_2) = skolem264(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-589, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem265(__eqx_0, __eqx_1, __eqx_2) = skolem265(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-590, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem266(__eqx_0, __eqx_1, __eqx_2) = skolem266(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-591, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem267(__eqx_0, __eqx_1, __eqx_2) = skolem267(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-592, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem268(__eqx_0, __eqx_1, __eqx_2) = skolem268(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-593, plain, ( ( __eqx_0 != __eqy_0) | ( skolem269(__eqx_0) = skolem269(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-594, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem270(__eqx_0, __eqx_1, __eqx_2) = skolem270(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-595, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem271(__eqx_0, __eqx_1) = skolem271(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-596, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( __eqx_7 != __eqy_7) | ( skolem272(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem272(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 39.89/40.12 cnf(matrix-597, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem273(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem273(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 39.89/40.12 cnf(matrix-598, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem274(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem274(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 39.89/40.12 cnf(matrix-599, plain, ( ( __eqx_0 != __eqy_0) | ( skolem275(__eqx_0) = skolem275(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-600, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem276(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem276(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 39.89/40.12 cnf(matrix-601, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem277(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem277(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 39.89/40.12 cnf(matrix-602, 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)) )).
% 39.89/40.12 cnf(matrix-603, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem279(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem279(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 39.89/40.12 cnf(matrix-604, 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)) )).
% 39.89/40.12 cnf(matrix-605, 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)) )).
% 39.89/40.12 cnf(matrix-606, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem282(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem282(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 39.89/40.12 cnf(matrix-607, 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)) )).
% 39.89/40.12 cnf(matrix-608, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem284(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem284(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 39.89/40.12 cnf(matrix-609, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem285(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem285(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-610, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem286(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem286(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-611, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem287(__eqx_0, __eqx_1) = skolem287(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-612, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem288(__eqx_0, __eqx_1, __eqx_2) = skolem288(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-613, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem289(__eqx_0, __eqx_1) = skolem289(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-614, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem290(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem290(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-615, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem291(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem291(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-616, 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)) )).
% 39.89/40.12 cnf(matrix-617, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem293(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem293(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-618, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem294(__eqx_0, __eqx_1) = skolem294(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-619, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem295(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem295(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-620, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem296(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem296(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-621, 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)) )).
% 39.89/40.12 cnf(matrix-622, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem298(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem298(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 39.89/40.12 cnf(matrix-623, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem299(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem299(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 39.89/40.12 cnf(matrix-624, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem300(__eqx_0, __eqx_1) = skolem300(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-625, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem301(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem301(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 39.89/40.12 cnf(matrix-626, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem302(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem302(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 39.89/40.12 cnf(matrix-627, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem303(__eqx_0, __eqx_1, __eqx_2) = skolem303(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-628, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem304(__eqx_0, __eqx_1, __eqx_2) = skolem304(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-629, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem305(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem305(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-630, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem306(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem306(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 39.89/40.12 cnf(matrix-631, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem307(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem307(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 39.89/40.12 cnf(matrix-632, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem308(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem308(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 39.89/40.12 cnf(matrix-633, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem309(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem309(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-634, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem310(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem310(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-635, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem311(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem311(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 39.89/40.12 cnf(matrix-636, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem312(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem312(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 39.89/40.12 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) | ( __eqx_6 != __eqy_6) | ( __eqx_7 != __eqy_7) | ( skolem313(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem313(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 39.89/40.12 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) | ( __eqx_6 != __eqy_6) | ( __eqx_7 != __eqy_7) | ( skolem314(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem314(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 39.89/40.12 cnf(matrix-639, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem315(__eqx_0, __eqx_1, __eqx_2) = skolem315(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-640, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem316(__eqx_0, __eqx_1, __eqx_2) = skolem316(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-641, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem317(__eqx_0, __eqx_1, __eqx_2) = skolem317(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-642, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem318(__eqx_0, __eqx_1, __eqx_2) = skolem318(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-643, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem319(__eqx_0, __eqx_1, __eqx_2) = skolem319(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-644, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem320(__eqx_0, __eqx_1, __eqx_2) = skolem320(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-645, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem321(__eqx_0, __eqx_1, __eqx_2) = skolem321(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-646, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem322(__eqx_0, __eqx_1, __eqx_2) = skolem322(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-647, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem323(__eqx_0, __eqx_1, __eqx_2) = skolem323(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-648, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem324(__eqx_0, __eqx_1) = skolem324(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-649, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem325(__eqx_0, __eqx_1) = skolem325(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-650, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem326(__eqx_0, __eqx_1, __eqx_2) = skolem326(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-651, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem327(__eqx_0, __eqx_1, __eqx_2) = skolem327(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-652, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem328(__eqx_0, __eqx_1, __eqx_2) = skolem328(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-653, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem329(__eqx_0, __eqx_1) = skolem329(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-654, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem330(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem330(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 39.89/40.12 cnf(matrix-655, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem331(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem331(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 39.89/40.12 cnf(matrix-656, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem332(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem332(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 39.89/40.12 cnf(matrix-657, plain, ( ( __eqx_0 != __eqy_0) | ( skolem333(__eqx_0) = skolem333(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-658, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem334(__eqx_0, __eqx_1) = skolem334(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-659, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( skolem335(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem335(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 39.89/40.12 cnf(matrix-660, 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)) )).
% 39.89/40.12 cnf(matrix-661, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem337(__eqx_0, __eqx_1, __eqx_2) = skolem337(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-662, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem338(__eqx_0, __eqx_1, __eqx_2) = skolem338(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-663, plain, ( ( __eqx_0 != __eqy_0) | ( skolem339(__eqx_0) = skolem339(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-664, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem340(__eqx_0, __eqx_1, __eqx_2) = skolem340(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-665, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem341(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem341(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-666, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem342(__eqx_0, __eqx_1) = skolem342(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-667, 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)) )).
% 39.89/40.12 cnf(matrix-668, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem344(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem344(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-669, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem345(__eqx_0, __eqx_1, __eqx_2) = skolem345(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-670, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem346(__eqx_0, __eqx_1, __eqx_2) = skolem346(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-671, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem347(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem347(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 39.89/40.12 cnf(matrix-672, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem348(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem348(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-673, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem349(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem349(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 39.89/40.12 cnf(matrix-674, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem350(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem350(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 39.89/40.12 cnf(matrix-675, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem351(__eqx_0, __eqx_1, __eqx_2) = skolem351(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-676, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem352(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem352(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 39.89/40.12 cnf(matrix-677, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem353(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem353(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 39.89/40.12 cnf(matrix-678, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem354(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem354(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 39.89/40.12 cnf(matrix-679, 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)) )).
% 39.89/40.12 cnf(matrix-680, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem356(__eqx_0, __eqx_1, __eqx_2) = skolem356(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-681, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem357(__eqx_0, __eqx_1, __eqx_2) = skolem357(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-682, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem358(__eqx_0, __eqx_1, __eqx_2) = skolem358(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-683, 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)) )).
% 39.89/40.12 cnf(matrix-684, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem360(__eqx_0, __eqx_1) = skolem360(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-685, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem361(__eqx_0, __eqx_1) = skolem361(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-686, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem362(__eqx_0, __eqx_1, __eqx_2) = skolem362(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-687, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem363(__eqx_0, __eqx_1, __eqx_2) = skolem363(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-688, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem364(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem364(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-689, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem365(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem365(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-690, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem366(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem366(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-691, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem367(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem367(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-692, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem368(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem368(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-693, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem369(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem369(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-694, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem370(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem370(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-695, 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)) )).
% 39.89/40.12 cnf(matrix-696, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem372(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem372(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 39.89/40.12 cnf(matrix-697, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem373(__eqx_0, __eqx_1, __eqx_2) = skolem373(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-698, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem374(__eqx_0, __eqx_1, __eqx_2) = skolem374(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-699, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem375(__eqx_0, __eqx_1, __eqx_2) = skolem375(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-700, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem376(__eqx_0, __eqx_1) = skolem376(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-701, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem377(__eqx_0, __eqx_1, __eqx_2) = skolem377(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-702, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem378(__eqx_0, __eqx_1, __eqx_2) = skolem378(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-703, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem379(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem379(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-704, plain, ( ( __eqx_0 != __eqy_0) | ( skolem380(__eqx_0) = skolem380(__eqy_0)) )).
% 39.89/40.12 cnf(matrix-705, 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)) )).
% 39.89/40.12 cnf(matrix-706, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem382(__eqx_0, __eqx_1) = skolem382(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-707, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem383(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem383(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-708, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem384(__eqx_0, __eqx_1, __eqx_2) = skolem384(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-709, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem385(__eqx_0, __eqx_1, __eqx_2) = skolem385(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-710, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem386(__eqx_0, __eqx_1) = skolem386(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-711, 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)) )).
% 39.89/40.12 cnf(matrix-712, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem388(__eqx_0, __eqx_1, __eqx_2) = skolem388(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-713, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem389(__eqx_0, __eqx_1, __eqx_2) = skolem389(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-714, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem390(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem390(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 39.89/40.12 cnf(matrix-715, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem391(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem391(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 39.89/40.12 cnf(matrix-716, 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)) )).
% 39.89/40.12 cnf(matrix-717, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem393(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem393(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 39.89/40.12 cnf(matrix-718, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem394(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem394(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-719, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem395(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem395(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-720, 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)) )).
% 39.89/40.12 cnf(matrix-721, 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)) )).
% 39.89/40.12 cnf(matrix-722, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem398(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem398(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 39.89/40.12 cnf(matrix-723, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem399(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem399(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 39.89/40.12 cnf(matrix-724, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem400(__eqx_0, __eqx_1) = skolem400(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-725, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem401(__eqx_0, __eqx_1) = skolem401(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-726, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem402(__eqx_0, __eqx_1, __eqx_2) = skolem402(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-727, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem403(__eqx_0, __eqx_1, __eqx_2) = skolem403(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-728, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem404(__eqx_0, __eqx_1) = skolem404(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-729, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem405(__eqx_0, __eqx_1, __eqx_2) = skolem405(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-730, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem406(__eqx_0, __eqx_1, __eqx_2) = skolem406(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-731, 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)) )).
% 39.89/40.12 cnf(matrix-732, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem408(__eqx_0, __eqx_1, __eqx_2) = skolem408(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-733, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem409(__eqx_0, __eqx_1) = skolem409(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-734, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem410(__eqx_0, __eqx_1) = skolem410(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-735, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem411(__eqx_0, __eqx_1) = skolem411(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-736, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem412(__eqx_0, __eqx_1) = skolem412(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-737, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem413(__eqx_0, __eqx_1, __eqx_2) = skolem413(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-738, 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)) )).
% 39.89/40.12 cnf(matrix-739, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem415(__eqx_0, __eqx_1, __eqx_2) = skolem415(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-740, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem416(__eqx_0, __eqx_1, __eqx_2) = skolem416(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-741, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem417(__eqx_0, __eqx_1, __eqx_2) = skolem417(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-742, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem418(__eqx_0, __eqx_1, __eqx_2) = skolem418(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-743, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem419(__eqx_0, __eqx_1, __eqx_2) = skolem419(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-744, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem420(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem420(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-745, 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)) )).
% 39.89/40.12 cnf(matrix-746, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem422(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem422(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 39.89/40.12 cnf(matrix-747, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem423(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem423(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 39.89/40.12 cnf(matrix-748, 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)) )).
% 39.89/40.12 cnf(matrix-749, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem425(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem425(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-750, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem426(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem426(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-751, 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)) )).
% 39.89/40.12 cnf(matrix-752, plain, ( ( __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) | ( skolem428(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem428(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 39.89/40.12 cnf(matrix-753, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem429(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem429(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 39.89/40.12 cnf(matrix-754, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem430(__eqx_0, __eqx_1, __eqx_2) = skolem430(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-755, plain, ( ( __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) | ( skolem431(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem431(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 39.89/40.12 cnf(matrix-756, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem432(__eqx_0, __eqx_1, __eqx_2) = skolem432(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-757, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem433(__eqx_0, __eqx_1, __eqx_2) = skolem433(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-758, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem434(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem434(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 39.89/40.12 cnf(matrix-759, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem435(__eqx_0, __eqx_1) = skolem435(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-760, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem436(__eqx_0, __eqx_1) = skolem436(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-761, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem437(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem437(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-762, 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)) )).
% 39.89/40.12 cnf(matrix-763, 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)) )).
% 39.89/40.12 cnf(matrix-764, 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)) )).
% 39.89/40.12 cnf(matrix-765, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem441(__eqx_0, __eqx_1, __eqx_2) = skolem441(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-766, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem442(__eqx_0, __eqx_1, __eqx_2) = skolem442(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-767, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem443(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem443(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-768, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem444(__eqx_0, __eqx_1) = skolem444(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-769, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem445(__eqx_0, __eqx_1) = skolem445(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-770, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem446(__eqx_0, __eqx_1) = skolem446(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-771, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem447(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem447(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-772, 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)) )).
% 39.89/40.12 cnf(matrix-773, plain, ( ( __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) | ( skolem449(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem449(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 39.89/40.12 cnf(matrix-774, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem450(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem450(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 39.89/40.12 cnf(matrix-775, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem451(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem451(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-776, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem452(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem452(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-777, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem453(__eqx_0, __eqx_1) = skolem453(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-778, 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)) )).
% 39.89/40.12 cnf(matrix-779, 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)) )).
% 39.89/40.12 cnf(matrix-780, 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)) )).
% 39.89/40.12 cnf(matrix-781, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem457(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem457(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-782, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem458(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem458(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 39.89/40.12 cnf(matrix-783, 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)) )).
% 39.89/40.12 cnf(matrix-784, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem460(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem460(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 39.89/40.12 cnf(matrix-785, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem461(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem461(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 39.89/40.12 cnf(matrix-786, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem462(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem462(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 39.89/40.12 cnf(matrix-787, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem463(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem463(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 39.89/40.12 cnf(matrix-788, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem464(__eqx_0, __eqx_1) = skolem464(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-789, 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)) )).
% 39.89/40.12 cnf(matrix-790, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem466(__eqx_0, __eqx_1, __eqx_2) = skolem466(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-791, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem467(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem467(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-792, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem468(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem468(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 39.89/40.12 cnf(matrix-793, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem469(__eqx_0, __eqx_1) = skolem469(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-794, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem470(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem470(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 39.89/40.12 cnf(matrix-795, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem471(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem471(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 39.89/40.12 cnf(matrix-796, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem472(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem472(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 39.89/40.12 cnf(matrix-797, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem473(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem473(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 39.89/40.12 cnf(matrix-798, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem474(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem474(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 39.89/40.12 cnf(matrix-799, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem475(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem475(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 39.89/40.12 cnf(matrix-800, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem476(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem476(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 39.89/40.12 cnf(matrix-801, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem477(__eqx_0, __eqx_1, __eqx_2) = skolem477(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-802, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem478(__eqx_0, __eqx_1, __eqx_2) = skolem478(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-803, 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)) )).
% 39.89/40.12 cnf(matrix-804, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem480(__eqx_0, __eqx_1) = skolem480(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-805, 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)) )).
% 39.89/40.12 cnf(matrix-806, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem482(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem482(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-807, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem483(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem483(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-808, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem484(__eqx_0, __eqx_1, __eqx_2) = skolem484(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-809, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem485(__eqx_0, __eqx_1, __eqx_2) = skolem485(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-810, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem486(__eqx_0, __eqx_1, __eqx_2) = skolem486(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-811, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem487(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem487(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 39.89/40.12 cnf(matrix-812, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem488(__eqx_0, __eqx_1, __eqx_2) = skolem488(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-813, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem489(__eqx_0, __eqx_1, __eqx_2) = skolem489(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-814, 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)) )).
% 39.89/40.12 cnf(matrix-815, 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)) )).
% 39.89/40.12 cnf(matrix-816, 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)) )).
% 39.89/40.12 cnf(matrix-817, plain, ( ( __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) | ( skolem493(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem493(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 39.89/40.12 cnf(matrix-818, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem494(__eqx_0, __eqx_1) = skolem494(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-819, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem495(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem495(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 39.89/40.12 cnf(matrix-820, 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)) )).
% 39.89/40.12 cnf(matrix-821, 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)) )).
% 39.89/40.12 cnf(matrix-822, 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)) )).
% 39.89/40.12 cnf(matrix-823, 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)) )).
% 39.89/40.12 cnf(matrix-824, 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)) )).
% 39.89/40.12 cnf(matrix-825, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem501(__eqx_0, __eqx_1) = skolem501(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-826, 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)) )).
% 39.89/40.12 cnf(matrix-827, 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)) )).
% 39.89/40.12 cnf(matrix-828, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem504(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem504(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 39.89/40.12 cnf(matrix-829, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem505(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem505(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 39.89/40.12 cnf(matrix-830, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem506(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem506(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 39.89/40.12 cnf(matrix-831, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem507(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem507(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 39.89/40.12 cnf(matrix-832, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem508(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem508(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 39.89/40.12 cnf(matrix-833, 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)) )).
% 39.89/40.12 cnf(matrix-834, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem510(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem510(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 39.89/40.12 cnf(matrix-835, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem511(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem511(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 39.89/40.12 cnf(matrix-836, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem512(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem512(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 39.89/40.12 cnf(matrix-837, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem513(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem513(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 39.89/40.12 cnf(matrix-838, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem514(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem514(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 39.89/40.12 cnf(matrix-839, 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)) )).
% 39.89/40.12 cnf(matrix-840, 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)) )).
% 39.89/40.12 cnf(matrix-841, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem517(__eqx_0, __eqx_1) = skolem517(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-842, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem518(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem518(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-843, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem519(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem519(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-844, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem520(__eqx_0, __eqx_1, __eqx_2) = skolem520(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-845, 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)) )).
% 39.89/40.12 cnf(matrix-846, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem522(__eqx_0, __eqx_1, __eqx_2) = skolem522(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-847, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem523(__eqx_0, __eqx_1, __eqx_2) = skolem523(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-848, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem524(__eqx_0, __eqx_1, __eqx_2) = skolem524(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-849, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem525(__eqx_0, __eqx_1, __eqx_2) = skolem525(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-850, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( skolem526(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem526(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 39.89/40.12 cnf(matrix-851, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( skolem527(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem527(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 39.89/40.12 cnf(matrix-852, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem528(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem528(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-853, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem529(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem529(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-854, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem530(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem530(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-855, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem531(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem531(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-856, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem532(__eqx_0, __eqx_1, __eqx_2) = skolem532(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-857, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem533(__eqx_0, __eqx_1) = skolem533(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-858, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem534(__eqx_0, __eqx_1) = skolem534(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-859, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem535(__eqx_0, __eqx_1, __eqx_2) = skolem535(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-860, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem536(__eqx_0, __eqx_1) = skolem536(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-861, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem537(__eqx_0, __eqx_1, __eqx_2) = skolem537(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-862, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem538(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem538(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-863, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem539(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem539(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-864, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem540(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem540(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 39.89/40.12 cnf(matrix-865, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem541(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem541(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 39.89/40.12 cnf(matrix-866, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem542(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem542(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 39.89/40.12 cnf(matrix-867, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem543(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem543(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-868, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem544(__eqx_0, __eqx_1, __eqx_2) = skolem544(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-869, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem545(__eqx_0, __eqx_1, __eqx_2) = skolem545(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-870, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem546(__eqx_0, __eqx_1, __eqx_2) = skolem546(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-871, 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)) )).
% 39.89/40.12 cnf(matrix-872, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem548(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem548(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-873, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem549(__eqx_0, __eqx_1, __eqx_2) = skolem549(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-874, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem550(__eqx_0, __eqx_1) = skolem550(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-875, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem551(__eqx_0, __eqx_1, __eqx_2) = skolem551(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-876, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem552(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem552(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 39.89/40.12 cnf(matrix-877, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem553(__eqx_0, __eqx_1) = skolem553(__eqy_0, __eqy_1)) )).
% 39.89/40.12 cnf(matrix-878, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem554(__eqx_0, __eqx_1, __eqx_2) = skolem554(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-879, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem555(__eqx_0, __eqx_1, __eqx_2) = skolem555(__eqy_0, __eqy_1, __eqy_2)) )).
% 39.89/40.12 cnf(matrix-880, 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)) )).
% 39.89/40.12 cnf(matrix-881, 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) )).
% 39.89/40.12 cnf(matrix-882, plain, ( ( __eqx_0 != __eqy_0) | ~hBOOL(__eqx_0) | hBOOL(__eqy_0) )).
% 39.89/40.12 cnf(matrix-883, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Opreorder(__eqx_0) | class_Orderings_Opreorder(__eqy_0) )).
% 39.89/40.12 cnf(matrix-884, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Obot(__eqx_0) | class_Orderings_Obot(__eqy_0) )).
% 39.89/40.12 cnf(matrix-885, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Olinorder(__eqx_0) | class_Orderings_Olinorder(__eqy_0) )).
% 39.89/40.12 cnf(matrix-886, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Oorder(__eqx_0) | class_Orderings_Oorder(__eqy_0) )).
% 39.89/40.12 cnf(matrix-887, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Oord(__eqx_0) | class_Orderings_Oord(__eqy_0) )).
% 39.89/40.12 cnf(matrix-888, plain, ( ( __eqx_0 != __eqy_0) | ~class_Enum_Oenum(__eqx_0) | class_Enum_Oenum(__eqy_0) )).
% 39.89/40.12 cnf(matrix-889, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Owellorder(__eqx_0) | class_Orderings_Owellorder(__eqy_0) )).
% 39.89/40.12 cnf(matrix-890, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ~c_Predicate_Oinv__imagep(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) | c_Predicate_Oinv__imagep(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5) )).
% 39.89/40.12 cnf(matrix-891, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Orderings_Oorder__class_Ostrict__mono(__eqx_0, __eqx_1, __eqx_2) | c_Orderings_Oorder__class_Ostrict__mono(__eqy_0, __eqy_1, __eqy_2) )).
% 39.89/40.12 cnf(matrix-892, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ~c_Natural_Oevaln(__eqx_0, __eqx_1, __eqx_2, __eqx_3) | c_Natural_Oevaln(__eqy_0, __eqy_1, __eqy_2, __eqy_3) )).
% 39.89/40.12 cnf(matrix-893, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Hoare__Mirabelle_Otriple__valid(__eqx_0, __eqx_1, __eqx_2) | c_Hoare__Mirabelle_Otriple__valid(__eqy_0, __eqy_1, __eqy_2) )).
% 39.89/40.12 cnf(matrix-894, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Orderings_Oorder__class_Omono(__eqx_0, __eqx_1, __eqx_2) | c_Orderings_Oorder__class_Omono(__eqy_0, __eqy_1, __eqy_2) )).
% 39.89/40.12 cnf(matrix-895, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Osemilattice__sup(__eqx_0) | class_Lattices_Osemilattice__sup(__eqy_0) )).
% 39.89/40.12 cnf(matrix-896, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Olattice(__eqx_0) | class_Lattices_Olattice(__eqy_0) )).
% 39.89/40.12 cnf(matrix-897, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Obounded__lattice__bot(__eqx_0) | class_Lattices_Obounded__lattice__bot(__eqy_0) )).
% 39.89/40.12 cnf(matrix-898, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Osemilattice__inf(__eqx_0) | class_Lattices_Osemilattice__inf(__eqy_0) )).
% 39.89/40.12 cnf(matrix-899, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ominus(__eqx_0) | class_Groups_Ominus(__eqy_0) )).
% 39.89/40.12 cnf(matrix-900, plain, ( ( __eqx_0 != __eqy_0) | ~class_Complete__Lattice_Ocomplete__lattice(__eqx_0) | class_Complete__Lattice_Ocomplete__lattice(__eqy_0) )).
% 39.89/40.12 cnf(matrix-901, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Odistrib__lattice(__eqx_0) | class_Lattices_Odistrib__lattice(__eqy_0) )).
% 39.89/40.12 cnf(matrix-902, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__ab__group__add(__eqx_0) | class_Groups_Oordered__ab__group__add(__eqy_0) )).
% 39.89/40.12 cnf(matrix-903, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ~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) )).
% 39.89/40.12 cnf(matrix-904, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oab__group__add(__eqx_0) | class_Groups_Oab__group__add(__eqy_0) )).
% 39.89/40.12 cnf(matrix-905, 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) )).
% 39.89/40.12 cnf(matrix-906, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ~c_Partial__Function_Omk__less(__eqx_0, __eqx_1, __eqx_2, __eqx_3) | c_Partial__Function_Omk__less(__eqy_0, __eqy_1, __eqy_2, __eqy_3) )).
% 39.89/40.12 cnf(matrix-907, 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) )).
% 39.89/40.12 cnf(matrix-908, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ocomm__monoid__add(__eqx_0) | class_Groups_Ocomm__monoid__add(__eqy_0) )).
% 39.89/40.12 cnf(matrix-909, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oring(__eqx_0) | class_Rings_Oring(__eqy_0) )).
% 39.89/40.12 cnf(matrix-910, 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) )).
% 39.89/40.12 cnf(matrix-911, plain, ( ( __eqx_0 != __eqy_0) | ~class_Finite__Set_Ofinite(__eqx_0) | class_Finite__Set_Ofinite(__eqy_0) )).
% 39.89/40.12 cnf(matrix-912, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ogroup__add(__eqx_0) | class_Groups_Ogroup__add(__eqy_0) )).
% 39.89/40.12 cnf(matrix-913, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ouminus(__eqx_0) | class_Groups_Ouminus(__eqy_0) )).
% 39.89/40.12 cnf(matrix-914, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Oboolean__algebra(__eqx_0) | class_Lattices_Oboolean__algebra(__eqy_0) )).
% 39.89/40.12 cnf(matrix-915, 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) )).
% 39.89/40.12 cnf(matrix-916, 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) )).
% 39.89/40.12 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) | ~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) )).
% 39.89/40.12 cnf(matrix-918, 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) )).
% 39.89/40.12 cnf(matrix-919, 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) )).
% 39.89/40.12 cnf(matrix-920, 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) )).
% 39.89/40.12 cnf(matrix-921, plain, ( ( __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) )).
% 39.89/40.12 cnf(matrix-922, 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) )).
% 39.89/40.12 cnf(matrix-923, 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) )).
% 39.89/40.12 cnf(matrix-924, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Relation_Oirrefl(__eqx_0, __eqx_1) | c_Relation_Oirrefl(__eqy_0, __eqy_1) )).
% 39.89/40.12 cnf(matrix-925, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__cancel__ab__semigroup__add(__eqx_0) | class_Groups_Oordered__cancel__ab__semigroup__add(__eqy_0) )).
% 39.89/40.12 cnf(matrix-926, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oab__semigroup__add(__eqx_0) | class_Groups_Oab__semigroup__add(__eqy_0) )).
% 39.89/40.12 cnf(matrix-927, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ocancel__semigroup__add(__eqx_0) | class_Groups_Ocancel__semigroup__add(__eqy_0) )).
% 39.89/40.12 cnf(matrix-928, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ocancel__ab__semigroup__add(__eqx_0) | class_Groups_Ocancel__ab__semigroup__add(__eqy_0) )).
% 39.89/40.12 cnf(matrix-929, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Otop(__eqx_0) | class_Orderings_Otop(__eqy_0) )).
% 39.89/40.12 cnf(matrix-930, 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) )).
% 39.89/40.12 cnf(matrix-931, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__ab__semigroup__add(__eqx_0) | class_Groups_Oordered__ab__semigroup__add(__eqy_0) )).
% 39.89/40.12 cnf(matrix-932, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Obounded__lattice__top(__eqx_0) | class_Lattices_Obounded__lattice__top(__eqy_0) )).
% 39.89/40.12 cnf(matrix-933, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ocomm__ring__1(__eqx_0) | class_Rings_Ocomm__ring__1(__eqy_0) )).
% 39.89/40.12 cnf(matrix-934, 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) )).
% 39.89/40.12 cnf(matrix-935, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Olinordered__ab__semigroup__add(__eqx_0) | class_Groups_Olinordered__ab__semigroup__add(__eqy_0) )).
% 39.89/40.12 cnf(matrix-936, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oone(__eqx_0) | class_Groups_Oone(__eqy_0) )).
% 39.89/40.12 cnf(matrix-937, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Olinordered__ab__group__add(__eqx_0) | class_Groups_Olinordered__ab__group__add(__eqy_0) )).
% 39.89/40.12 cnf(matrix-938, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ocomm__semiring__1(__eqx_0) | class_Rings_Ocomm__semiring__1(__eqy_0) )).
% 39.89/40.12 cnf(matrix-939, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__semidom(__eqx_0) | class_Rings_Olinordered__semidom(__eqy_0) )).
% 39.89/40.12 cnf(matrix-940, 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) )).
% 39.89/40.12 cnf(matrix-941, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ocomm__monoid__mult(__eqx_0) | class_Groups_Ocomm__monoid__mult(__eqy_0) )).
% 39.89/40.12 cnf(matrix-942, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Osemiring(__eqx_0) | class_Rings_Osemiring(__eqy_0) )).
% 39.89/40.12 cnf(matrix-943, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ocomm__semiring(__eqx_0) | class_Rings_Ocomm__semiring(__eqy_0) )).
% 39.89/40.12 cnf(matrix-944, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oidom(__eqx_0) | class_Rings_Oidom(__eqy_0) )).
% 39.89/40.12 cnf(matrix-945, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oab__semigroup__mult(__eqx_0) | class_Groups_Oab__semigroup__mult(__eqy_0) )).
% 39.89/40.12 cnf(matrix-946, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Oab__semigroup__idem__mult(__eqx_0) | class_Lattices_Oab__semigroup__idem__mult(__eqy_0) )).
% 39.89/40.12 cnf(matrix-947, 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) )).
% 39.89/40.12 cnf(matrix-948, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Omonoid__mult(__eqx_0) | class_Groups_Omonoid__mult(__eqy_0) )).
% 39.89/40.12 cnf(matrix-949, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oring__1__no__zero__divisors(__eqx_0) | class_Rings_Oring__1__no__zero__divisors(__eqy_0) )).
% 39.89/40.12 cnf(matrix-950, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Osemiring__0(__eqx_0) | class_Rings_Osemiring__0(__eqy_0) )).
% 39.89/40.12 cnf(matrix-951, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oordered__ring(__eqx_0) | class_Rings_Oordered__ring(__eqy_0) )).
% 39.89/40.12 cnf(matrix-952, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__idom(__eqx_0) | class_Rings_Olinordered__idom(__eqy_0) )).
% 39.89/40.12 cnf(matrix-953, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ozero(__eqx_0) | class_Groups_Ozero(__eqy_0) )).
% 39.89/40.12 cnf(matrix-954, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Omonoid__add(__eqx_0) | class_Groups_Omonoid__add(__eqy_0) )).
% 39.89/40.12 cnf(matrix-955, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ono__zero__divisors(__eqx_0) | class_Rings_Ono__zero__divisors(__eqy_0) )).
% 39.89/40.12 cnf(matrix-956, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oring__no__zero__divisors(__eqx_0) | class_Rings_Oring__no__zero__divisors(__eqy_0) )).
% 39.89/40.12 cnf(matrix-957, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Omult__zero(__eqx_0) | class_Rings_Omult__zero(__eqy_0) )).
% 39.89/40.12 cnf(matrix-958, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ozero__neq__one(__eqx_0) | class_Rings_Ozero__neq__one(__eqy_0) )).
% 39.89/40.12 cnf(matrix-959, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__comm__monoid__add(__eqx_0) | class_Groups_Oordered__comm__monoid__add(__eqy_0) )).
% 39.89/40.12 cnf(matrix-960, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oordered__cancel__semiring(__eqx_0) | class_Rings_Oordered__cancel__semiring(__eqy_0) )).
% 39.89/40.12 cnf(matrix-961, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oordered__semiring(__eqx_0) | class_Rings_Oordered__semiring(__eqy_0) )).
% 39.89/40.12 cnf(matrix-962, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oordered__comm__semiring(__eqx_0) | class_Rings_Oordered__comm__semiring(__eqy_0) )).
% 39.89/40.12 cnf(matrix-963, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__ring__strict(__eqx_0) | class_Rings_Olinordered__ring__strict(__eqy_0) )).
% 39.89/40.12 cnf(matrix-964, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__ring(__eqx_0) | class_Rings_Olinordered__ring(__eqy_0) )).
% 39.89/40.12 cnf(matrix-965, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__semiring__strict(__eqx_0) | class_Rings_Olinordered__semiring__strict(__eqy_0) )).
% 39.89/40.12 cnf(matrix-966, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__comm__semiring__strict(__eqx_0) | class_Rings_Olinordered__comm__semiring__strict(__eqy_0) )).
% 39.89/40.12 cnf(matrix-967, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__semiring(__eqx_0) | class_Rings_Olinordered__semiring(__eqy_0) )).
% 39.89/40.12 cnf(matrix-968, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__semiring__1(__eqx_0) | class_Rings_Olinordered__semiring__1(__eqy_0) )).
% 39.89/40.12 cnf(matrix-969, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__semiring__1__strict(__eqx_0) | class_Rings_Olinordered__semiring__1__strict(__eqy_0) )).
% 39.89/40.12 cnf(matrix-970, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oring__1(__eqx_0) | class_Rings_Oring__1(__eqy_0) )).
% 39.89/40.12 cnf(matrix-971, plain, ( ( __eqx_0 != __eqy_0) | ~class_Nat_Osemiring__char__0(__eqx_0) | class_Nat_Osemiring__char__0(__eqy_0) )).
% 39.89/40.12 cnf(matrix-972, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Osemiring__1(__eqx_0) | class_Rings_Osemiring__1(__eqy_0) )).
% 39.89/40.12 cnf(matrix-973, plain, ( ( __eqx_0 != __eqy_0) | ~class_Int_Oring__char__0(__eqx_0) | class_Int_Oring__char__0(__eqy_0) )).
% 39.89/40.12 cnf(matrix-974, plain, ( ( __eqx_0 != __eqy_0) | ~class_Power_Opower(__eqx_0) | class_Power_Opower(__eqy_0) )).
% 39.89/40.12 cnf(matrix-975, plain, ( ( __eqx_0 != __eqy_0) | ~class_Divides_Osemiring__div(__eqx_0) | class_Divides_Osemiring__div(__eqy_0) )).
% 39.89/40.12 cnf(matrix-976, plain, ( ( __eqx_0 != __eqy_0) | ~class_Divides_Oring__div(__eqx_0) | class_Divides_Oring__div(__eqy_0) )).
% 39.89/40.12 cnf(matrix-977, plain, ( ( __eqx_0 != __eqy_0) | ~class_Int_Onumber__ring(__eqx_0) | class_Int_Onumber__ring(__eqy_0) )).
% 39.89/40.12 cnf(matrix-978, plain, ( ( __eqx_0 != __eqy_0) | ~class_Int_Onumber(__eqx_0) | class_Int_Onumber(__eqy_0) )).
% 39.89/40.12 cnf(matrix-979, 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) )).
% 39.89/40.12 cnf(matrix-980, plain, ( ( __eqx_0 != __eqy_0) | ~c_Nat__Transfer_Onat__set(__eqx_0) | c_Nat__Transfer_Onat__set(__eqy_0) )).
% 39.89/40.12 cnf(matrix-981, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Int_Oiszero(__eqx_0, __eqx_1) | c_Int_Oiszero(__eqy_0, __eqy_1) )).
% 39.89/40.12 cnf(matrix-982, plain, ( ( __eqx_0 != __eqy_0) | ~class_Smallcheck_Osmall(__eqx_0) | class_Smallcheck_Osmall(__eqy_0) )).
% 39.89/40.12 cnf(matrix-983, plain, ( ( __eqx_0 != __eqy_0) | ~c_Nat__Transfer_Ois__nat(__eqx_0) | c_Nat__Transfer_Ois__nat(__eqy_0) )).
% 39.89/40.12 cnf(matrix-984, plain, ( ( __eqx_0 != __eqy_0) | ~class_Fields_Ofield(__eqx_0) | class_Fields_Ofield(__eqy_0) )).
% 39.89/40.12 cnf(matrix-985, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Odivision__ring(__eqx_0) | class_Rings_Odivision__ring(__eqy_0) )).
% 39.89/40.12 cnf(matrix-986, plain, ( ( __eqx_0 != __eqy_0) | ~class_Fields_Ofield__inverse__zero(__eqx_0) | class_Fields_Ofield__inverse__zero(__eqy_0) )).
% 39.89/40.12 cnf(matrix-987, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Odivision__ring__inverse__zero(__eqx_0) | class_Rings_Odivision__ring__inverse__zero(__eqy_0) )).
% 39.89/40.12 cnf(matrix-988, plain, ( ( __eqx_0 != __eqy_0) | ~class_Fields_Olinordered__field__inverse__zero(__eqx_0) | class_Fields_Olinordered__field__inverse__zero(__eqy_0) )).
% 39.89/40.12 cnf(matrix-989, plain, ( ( __eqx_0 != __eqy_0) | ~class_Fields_Olinordered__field(__eqx_0) | class_Fields_Olinordered__field(__eqy_0) )).
% 39.89/40.12 cnf(matrix-990, 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) )).
% 39.89/40.12 cnf(matrix-991, 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) )).
% 39.89/40.12 cnf(matrix-992, 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) )).
% 39.89/40.12 cnf(matrix-993, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Osgn__if(__eqx_0) | class_Groups_Osgn__if(__eqy_0) )).
% 39.89/40.12 cnf(matrix-994, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__ab__group__add__abs(__eqx_0) | class_Groups_Oordered__ab__group__add__abs(__eqy_0) )).
% 39.89/40.12 cnf(matrix-995, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oordered__ring__abs(__eqx_0) | class_Rings_Oordered__ring__abs(__eqy_0) )).
% 39.89/40.12 cnf(matrix-996, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oabs__if(__eqx_0) | class_Groups_Oabs__if(__eqy_0) )).
% 39.89/40.12 cnf(matrix-997, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ~c_Predicate_Opred__comp(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) | c_Predicate_Opred__comp(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6) )).
% 39.89/40.12 cnf(matrix-998, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Wellfounded_Owf(__eqx_0, __eqx_1) | c_Wellfounded_Owf(__eqy_0, __eqy_1) )).
% 39.89/40.12 cnf(matrix-999, 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) )).
% 39.89/40.12 cnf(matrix-1000, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Predicate_Oreflp(__eqx_0, __eqx_1) | c_Predicate_Oreflp(__eqy_0, __eqy_1) )).
% 39.89/40.12 cnf(matrix-1001, 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) )).
% 39.89/40.12 cnf(matrix-1002, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Wellfounded_OwfP(__eqx_0, __eqx_1) | c_Wellfounded_OwfP(__eqy_0, __eqy_1) )).
% 39.89/40.12 cnf(matrix-1003, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Wellfounded_Oacyclic(__eqx_0, __eqx_1) | c_Wellfounded_Oacyclic(__eqy_0, __eqy_1) )).
% 39.89/40.12 cnf(matrix-1004, 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) )).
% 39.89/40.12 cnf(matrix-1005, plain, ( ( __eqx_0 != __eqy_0) | ~c_Nitpick_Ounknown(__eqx_0) | c_Nitpick_Ounknown(__eqy_0) )).
% 39.89/40.12 cnf(matrix-1006, 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) )).
% 39.89/40.12 cnf(matrix-1007, plain, ( ( __eqx_0 != __eqy_0) | ~c_List_Onat__list(__eqx_0) | c_List_Onat__list(__eqy_0) )).
% 39.89/40.12 cnf(matrix-1008, 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) )).
% 39.89/40.12 cnf(matrix-1009, plain, ( ( __eqx_0 != __eqy_0) | ~class_HOL_Oequal(__eqx_0) | class_HOL_Oequal(__eqy_0) )).
% 39.89/40.12 cnf(matrix-1010, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Enum_Oall__n__lists(__eqx_0, __eqx_1, __eqx_2) | c_Enum_Oall__n__lists(__eqy_0, __eqy_1, __eqy_2) )).
% 39.89/40.12 cnf(matrix-1011, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Enum_Oex__n__lists(__eqx_0, __eqx_1, __eqx_2) | c_Enum_Oex__n__lists(__eqy_0, __eqy_1, __eqy_2) )).
% 39.89/40.12 cnf(matrix-1012, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Osemigroup__add(__eqx_0) | class_Groups_Osemigroup__add(__eqy_0) )).
% 39.89/40.12 cnf(matrix-1013, 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) )).
% 39.89/40.12 cnf(matrix-1014, 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) )).
% 39.89/40.12 cnf(matrix-1015, 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) )).
% 39.89/40.12 cnf(matrix-1016, 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) )).
% 39.89/40.12 cnf(matrix-1017, 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) )).
% 39.89/40.12 cnf(matrix-1018, 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) )).
% 39.89/40.12 cnf(matrix-1019, plain, ( ( __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) )).
% 39.89/40.12 cnf(matrix-1020, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oinverse(__eqx_0) | class_Rings_Oinverse(__eqy_0) )).
% 39.89/40.12 cnf(matrix-1021, 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) )).
% 39.89/40.12 cnf(matrix-1022, 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) )).
% 39.89/40.12 cnf(matrix-1023, 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) )).
% 39.89/40.12 cnf(matrix-1024, 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) )).
% 39.89/40.12 cnf(matrix-1025, 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) )).
% 39.89/40.12 cnf(matrix-1026, plain, ( ( __eqx_0 != __eqy_0) | ~class_Nat_Osize(__eqx_0) | class_Nat_Osize(__eqy_0) )).
% 39.89/40.12 cnf(matrix-1027, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Obounded__lattice(__eqx_0) | class_Lattices_Obounded__lattice(__eqy_0) )).
% 39.89/40.12 cnf(matrix-1028, plain, ( ( hAPP(_u1, skolem1(_u2, _u1)) != hAPP(_u2, skolem1(_u2, _u1))) | ( _u1 = _u2) )).
% 39.89/40.12 cnf(matrix-1029, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(_u3, _u4, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u3), tc_HOL_Obool))) )).
% 39.89/40.12 cnf(matrix-1030, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(_u5, _u6, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u5)), c_Hoare__Mirabelle_Otriple_Otriple(_u5, _u7, c_Com_Ocom_OSKIP, _u7)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u5), tc_HOL_Obool)))) )).
% 39.89/40.12 cnf(matrix-1031, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(_u8, _u9, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u8), tc_HOL_Obool))) )).
% 39.89/40.12 cnf(matrix-1032, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(_u10, _u11, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u10)), c_Hoare__Mirabelle_Otriple_Otriple(_u10, _u12, c_Com_Ocom_OSKIP, _u12)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u10), tc_HOL_Obool)))) )).
% 39.89/40.12 cnf(matrix-1033, plain, ( ( c_Hoare__Mirabelle_Otriple_Otriple(_u20, _u22, _u24, _u26) != c_Hoare__Mirabelle_Otriple_Otriple(_u20, _u28, _u30, _u32)) | ( _u22 = _u28) )).
% 39.89/40.12 cnf(matrix-1034, plain, ( ( c_Hoare__Mirabelle_Otriple_Otriple(_u20, _u22, _u24, _u26) != c_Hoare__Mirabelle_Otriple_Otriple(_u20, _u28, _u30, _u32)) | ( _u24 = _u30) )).
% 39.89/40.12 cnf(matrix-1035, plain, ( ( c_Hoare__Mirabelle_Otriple_Otriple(_u20, _u22, _u24, _u26) != c_Hoare__Mirabelle_Otriple_Otriple(_u20, _u28, _u30, _u32)) | ( _u26 = _u32) )).
% 39.89/40.12 cnf(matrix-1036, plain, ( ( _u23 != _u29) | ( _u25 != _u31) | ( _u27 != _u33) | ( c_Hoare__Mirabelle_Otriple_Otriple(_u21, _u23, _u25, _u27) = c_Hoare__Mirabelle_Otriple_Otriple(_u21, _u29, _u31, _u33)) )).
% 39.89/40.12 cnf(matrix-1037, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(_u34), tc_HOL_Obool)), _u35), _u36)) | c_Hoare__Mirabelle_Ohoare__derivs(_u34, _u36, _u35) )).
% 39.89/40.12 cnf(matrix-1038, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u37, _u38, _u39) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(_u37), tc_HOL_Obool)), _u40), _u39)) | c_Hoare__Mirabelle_Ohoare__derivs(_u37, _u38, _u40) )).
% 39.89/40.12 cnf(matrix-1039, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u41, _u42, _u43) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u41, _u44, _u42) | c_Hoare__Mirabelle_Ohoare__derivs(_u41, _u44, _u43) )).
% 39.89/40.12 cnf(matrix-1040, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u45, _u46, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u45)), _u47), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u45), tc_HOL_Obool)))) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u45, _u46, _u48) | c_Hoare__Mirabelle_Ohoare__derivs(_u45, _u46, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u45)), _u47), _u48)) )).
% 39.89/40.12 cnf(matrix-1041, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u49, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u49, tc_HOL_Obool))), _u50)) )).
% 39.89/40.12 cnf(matrix-1042, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u51, tc_HOL_Obool)), _u52), hAPP(hAPP(c_Set_Oinsert(_u51), _u53), c_Orderings_Obot__class_Obot(tc_fun(_u51, tc_HOL_Obool))))) | ( _u52 = c_Orderings_Obot__class_Obot(tc_fun(_u51, tc_HOL_Obool))) | ( _u52 = hAPP(hAPP(c_Set_Oinsert(_u51), _u53), c_Orderings_Obot__class_Obot(tc_fun(_u51, tc_HOL_Obool)))) )).
% 39.89/40.12 cnf(matrix-1043, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u54, tc_HOL_Obool)), _u55), _u56)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u54, tc_HOL_Obool)), _u56), _u55)) | ( _u55 = _u56) )).
% 39.89/40.12 cnf(matrix-1044, plain, ( ~class_Orderings_Opreorder(_u57) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u57), _u58), _u58)) )).
% 39.89/40.12 cnf(matrix-1045, plain, ( ~class_Orderings_Obot(_u59) | ( hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u60, _u59)), _u61) = c_Orderings_Obot__class_Obot(_u59)) )).
% 39.89/40.12 cnf(matrix-1046, plain, ( ( c_Hoare__Mirabelle_Otriple_Otriple__rec(_u62, _u63, _u64, c_Hoare__Mirabelle_Otriple_Otriple(_u62, _u65, _u66, _u67)) = hAPP(hAPP(hAPP(_u64, _u65), _u66), _u67)) )).
% 39.89/40.12 cnf(matrix-1047, plain, ( ( c_Hoare__Mirabelle_Otriple_Otriple__case(_u68, _u69, _u70, c_Hoare__Mirabelle_Otriple_Otriple(_u68, _u71, _u72, _u73)) = hAPP(hAPP(hAPP(_u70, _u71), _u72), _u73)) )).
% 39.89/40.12 cnf(matrix-1048, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u74, tc_HOL_Obool)), _u75), hAPP(hAPP(c_Set_Oinsert(_u74), _u76), _u75))) )).
% 39.89/40.12 cnf(matrix-1049, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u77, tc_HOL_Obool)), _u78), _u79)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u77, tc_HOL_Obool)), _u78), hAPP(hAPP(c_Set_Oinsert(_u77), _u80), _u79))) )).
% 39.89/40.12 cnf(matrix-1050, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u81, tc_HOL_Obool)), _u82), _u83)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u81, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u81), _u84), _u82)), hAPP(hAPP(c_Set_Oinsert(_u81), _u84), _u83))) )).
% 39.89/40.12 cnf(matrix-1051, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u87, tc_HOL_Obool)), _u89), c_Orderings_Obot__class_Obot(tc_fun(_u87, tc_HOL_Obool)))) | ( _u89 = c_Orderings_Obot__class_Obot(tc_fun(_u87, tc_HOL_Obool))) )).
% 39.89/40.12 cnf(matrix-1052, plain, ( ( _u90 != c_Orderings_Obot__class_Obot(tc_fun(_u88, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u88, tc_HOL_Obool)), _u90), c_Orderings_Obot__class_Obot(tc_fun(_u88, tc_HOL_Obool)))) )).
% 39.89/40.12 cnf(matrix-1053, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u91, tc_HOL_Obool)) != hAPP(hAPP(c_Set_Oinsert(_u91), _u92), _u93)) )).
% 39.89/40.12 cnf(matrix-1054, plain, ( ~class_Orderings_Olinorder(_u94) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u94), _u95), _u96)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u94), _u96), _u95)) )).
% 39.89/40.12 cnf(matrix-1055, plain, ( ~class_Orderings_Oorder(_u97) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u97), _u98), _u99)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u97), _u100), _u98)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u97), _u100), _u99)) )).
% 39.89/40.12 cnf(matrix-1056, plain, ( ~class_Orderings_Oorder(_u101) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u101), _u102), _u103)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u101), _u103), _u102)) | ( _u103 = _u102) )).
% 39.89/40.12 cnf(matrix-1057, plain, ( ~class_Orderings_Opreorder(_u104) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u104), _u105), _u106)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u104), _u106), _u107)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u104), _u105), _u107)) )).
% 39.89/40.12 cnf(matrix-1058, plain, ( ~class_Orderings_Oorder(_u108) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u108), _u109), _u110)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u108), _u110), _u109)) | ( _u109 = _u110) )).
% 39.89/40.12 cnf(matrix-1059, plain, ( ~class_Orderings_Oorder(_u111) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u111), _u112), _u113)) | ( _u112 != _u114) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u111), _u114), _u113)) )).
% 39.89/40.12 cnf(matrix-1060, plain, ( ~class_Orderings_Oord(_u115) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u115), _u116), _u117)) | ( _u117 != _u118) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u115), _u116), _u118)) )).
% 39.89/40.12 cnf(matrix-1061, plain, ( ~class_Orderings_Oorder(_u119) | ( _u120 != _u121) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u119), _u122), _u121)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u119), _u122), _u120)) )).
% 39.89/40.12 cnf(matrix-1062, plain, ( ~class_Orderings_Oord(_u123) | ( _u124 != _u125) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u123), _u125), _u126)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u123), _u124), _u126)) )).
% 39.89/40.12 cnf(matrix-1063, plain, ( ~class_Orderings_Oorder(_u127) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u127), _u128), _u129)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u127), _u129), _u128)) | ( _u129 = _u128) )).
% 39.89/40.12 cnf(matrix-1064, plain, ( ~class_Orderings_Oorder(_u127) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u127), _u128), _u129)) | ( _u129 != _u128) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u127), _u129), _u128)) )).
% 39.89/40.12 cnf(matrix-1065, plain, ( ~class_Orderings_Opreorder(_u130) | ( _u131 != _u132) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u130), _u131), _u132)) )).
% 39.89/40.12 cnf(matrix-1066, plain, ( ~class_Orderings_Oorder(_u133) | ( _u134 != _u135) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u133), _u134), _u135)) )).
% 39.89/40.12 cnf(matrix-1067, plain, ( ~class_Orderings_Oorder(_u133) | ( _u134 != _u135) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u133), _u135), _u134)) )).
% 39.89/40.12 cnf(matrix-1068, plain, ( ~class_Orderings_Oorder(_u133) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u133), _u134), _u135)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u133), _u135), _u134)) | ( _u134 = _u135) )).
% 39.89/40.12 cnf(matrix-1069, plain, ( ~class_Orderings_Olinorder(_u136) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u136), _u137), _u138)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u136), _u138), _u137)) )).
% 39.89/40.12 cnf(matrix-1070, plain, ( ( _u145 = _u149) | hBOOL(hAPP(_u147, _u149)) | ~hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(_u143), _u145), _u147), _u149)) )).
% 39.89/40.12 cnf(matrix-1071, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(_u144), _u146), _u148), _u150)) | ( _u146 != _u150) )).
% 39.89/40.12 cnf(matrix-1072, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(_u144), _u146), _u148), _u150)) | ~hBOOL(hAPP(_u148, _u150)) )).
% 39.89/40.12 cnf(matrix-1073, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u151), _u152), hAPP(hAPP(c_Set_Oinsert(_u151), _u153), _u154)) = hAPP(hAPP(c_Set_Oinsert(_u151), _u153), hAPP(hAPP(c_Set_Oinsert(_u151), _u152), _u154))) )).
% 39.89/40.12 cnf(matrix-1074, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u155), _u156), hAPP(hAPP(c_Set_Oinsert(_u155), _u156), _u157)) = hAPP(hAPP(c_Set_Oinsert(_u155), _u156), _u157)) )).
% 39.89/40.12 cnf(matrix-1075, plain, ( ( _u158 != _u159) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u160, tc_HOL_Obool)), _u158), _u159)) )).
% 39.89/40.12 cnf(matrix-1076, plain, ( ( _u158 != _u159) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u160, tc_HOL_Obool)), _u159), _u158)) )).
% 39.89/40.12 cnf(matrix-1077, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u161, tc_HOL_Obool)), _u162), _u163)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u161, tc_HOL_Obool)), _u163), _u164)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u161, tc_HOL_Obool)), _u162), _u164)) )).
% 39.89/40.12 cnf(matrix-1078, plain, ( ( _u165 != _u166) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u167, tc_HOL_Obool)), _u166), _u165)) )).
% 39.89/40.12 cnf(matrix-1079, plain, ( ( _u168 != _u169) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u170, tc_HOL_Obool)), _u168), _u169)) )).
% 39.89/40.12 cnf(matrix-1080, plain, ( ( _u174 != _u176) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u178, tc_HOL_Obool)), _u174), _u176)) )).
% 39.89/40.12 cnf(matrix-1081, plain, ( ( _u174 != _u176) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u178, tc_HOL_Obool)), _u176), _u174)) )).
% 39.89/40.12 cnf(matrix-1082, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u179, tc_HOL_Obool)), _u175), _u177)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u179, tc_HOL_Obool)), _u177), _u175)) | ( _u175 = _u177) )).
% 39.89/40.12 cnf(matrix-1083, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u180, tc_HOL_Obool)), _u181), _u181)) )).
% 39.89/40.12 cnf(matrix-1084, plain, ( ~class_Orderings_Obot(_u182) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u182), c_Orderings_Obot__class_Obot(_u182)), _u183)) )).
% 39.89/40.12 cnf(matrix-1085, plain, ( ~class_Orderings_Oord(_u184) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u185, _u184)), _u186), _u187)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u184), hAPP(_u186, _u188)), hAPP(_u187, _u188))) )).
% 39.89/40.12 cnf(matrix-1086, plain, ( ~class_Orderings_Oord(_u189) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u190, _u189)), _u191), _u192)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u189), hAPP(_u191, _u193)), hAPP(_u192, _u193))) )).
% 39.89/40.12 cnf(matrix-1087, plain, ( ~class_Orderings_Oord(_u196) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u197, _u196)), _u198), _u199)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u196), hAPP(_u198, _u194)), hAPP(_u199, _u194))) )).
% 39.89/40.12 cnf(matrix-1088, plain, ( ~class_Orderings_Oord(_u196) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u196), hAPP(_u198, skolem2(_u199, _u198, _u197, _u196))), hAPP(_u199, skolem2(_u199, _u198, _u197, _u196)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u197, _u196)), _u198), _u199)) )).
% 39.89/40.12 cnf(matrix-1089, plain, ( ~class_Orderings_Obot(_u200) | ( hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u201, _u200)), _u202) = c_Orderings_Obot__class_Obot(_u200)) )).
% 39.89/40.12 cnf(matrix-1090, plain, ( ( _u204 = _u205) | ( hAPP(hAPP(c_Set_Oinsert(_u203), _u204), c_Orderings_Obot__class_Obot(tc_fun(_u203, tc_HOL_Obool))) != hAPP(hAPP(c_Set_Oinsert(_u203), _u205), c_Orderings_Obot__class_Obot(tc_fun(_u203, tc_HOL_Obool)))) )).
% 39.89/40.12 cnf(matrix-1091, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u211), _u213), hAPP(hAPP(c_Set_Oinsert(_u211), _u215), c_Orderings_Obot__class_Obot(tc_fun(_u211, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u211), _u217), hAPP(hAPP(c_Set_Oinsert(_u211), _u219), c_Orderings_Obot__class_Obot(tc_fun(_u211, tc_HOL_Obool))))) | ( _u213 = _u217) | ( _u213 = _u219) )).
% 39.89/40.12 cnf(matrix-1092, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u211), _u213), hAPP(hAPP(c_Set_Oinsert(_u211), _u215), c_Orderings_Obot__class_Obot(tc_fun(_u211, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u211), _u217), hAPP(hAPP(c_Set_Oinsert(_u211), _u219), c_Orderings_Obot__class_Obot(tc_fun(_u211, tc_HOL_Obool))))) | ( _u213 = _u217) | ( _u215 = _u217) )).
% 39.89/40.12 cnf(matrix-1093, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u211), _u213), hAPP(hAPP(c_Set_Oinsert(_u211), _u215), c_Orderings_Obot__class_Obot(tc_fun(_u211, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u211), _u217), hAPP(hAPP(c_Set_Oinsert(_u211), _u219), c_Orderings_Obot__class_Obot(tc_fun(_u211, tc_HOL_Obool))))) | ( _u215 = _u219) | ( _u213 = _u219) )).
% 39.89/40.12 cnf(matrix-1094, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u211), _u213), hAPP(hAPP(c_Set_Oinsert(_u211), _u215), c_Orderings_Obot__class_Obot(tc_fun(_u211, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u211), _u217), hAPP(hAPP(c_Set_Oinsert(_u211), _u219), c_Orderings_Obot__class_Obot(tc_fun(_u211, tc_HOL_Obool))))) | ( _u215 = _u219) | ( _u215 = _u217) )).
% 39.89/40.12 cnf(matrix-1095, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u212), _u214), hAPP(hAPP(c_Set_Oinsert(_u212), _u216), c_Orderings_Obot__class_Obot(tc_fun(_u212, tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(_u212), _u218), hAPP(hAPP(c_Set_Oinsert(_u212), _u220), c_Orderings_Obot__class_Obot(tc_fun(_u212, tc_HOL_Obool))))) | ( _u214 != _u218) | ( _u216 != _u220) )).
% 39.89/40.12 cnf(matrix-1096, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u212), _u214), hAPP(hAPP(c_Set_Oinsert(_u212), _u216), c_Orderings_Obot__class_Obot(tc_fun(_u212, tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(_u212), _u218), hAPP(hAPP(c_Set_Oinsert(_u212), _u220), c_Orderings_Obot__class_Obot(tc_fun(_u212, tc_HOL_Obool))))) | ( _u214 != _u220) | ( _u216 != _u218) )).
% 39.89/40.12 cnf(matrix-1097, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u221), _u222), _u223) != c_Orderings_Obot__class_Obot(tc_fun(_u221, tc_HOL_Obool))) )).
% 39.89/40.12 cnf(matrix-1098, plain, ( ( c_Set_Othe__elem(_u224, hAPP(hAPP(c_Set_Oinsert(_u224), _u225), c_Orderings_Obot__class_Obot(tc_fun(_u224, tc_HOL_Obool)))) = _u225) )).
% 39.89/40.12 cnf(matrix-1099, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(_u229, _u230, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u229)), c_Hoare__Mirabelle_Otriple_Otriple(_u229, _u228, _u231, _u232)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u229), tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(_u228, skolem3(_u232, _u231, _u230, _u229, _u228)), skolem4(_u232, _u231, _u230, _u229, _u228))) )).
% 39.89/40.12 cnf(matrix-1100, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(_u229, _u230, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u229)), c_Hoare__Mirabelle_Otriple_Otriple(_u229, _u228, _u231, _u232)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u229), tc_HOL_Obool)))) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u229, _u230, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u229)), c_Hoare__Mirabelle_Otriple_Otriple(_u229, hAPP(c_COMBK(tc_fun(tc_Com_Ostate, tc_HOL_Obool), _u229), hAPP(hAPP(c_COMBC(tc_Com_Ostate, tc_Com_Ostate, tc_HOL_Obool), c_fequal), skolem4(_u232, _u231, _u230, _u229, _u228))), _u231, hAPP(c_COMBK(tc_fun(tc_Com_Ostate, tc_HOL_Obool), _u229), hAPP(_u232, skolem3(_u232, _u231, _u230, _u229, _u228))))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u229), tc_HOL_Obool)))) )).
% 39.89/40.12 cnf(matrix-1101, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u235, _u236, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u235)), c_Hoare__Mirabelle_Otriple_Otriple(_u235, _u237, _u238, _u239)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u235), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u235, _u236, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u235)), c_Hoare__Mirabelle_Otriple_Otriple(_u235, _u240, _u238, _u239)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u235), tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(_u240, skolem5(_u240, _u239, _u238, _u237, _u236, _u235)), skolem6(_u240, _u239, _u238, _u237, _u236, _u235))) )).
% 39.89/40.12 cnf(matrix-1102, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u235, _u236, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u235)), c_Hoare__Mirabelle_Otriple_Otriple(_u235, _u237, _u238, _u239)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u235), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u235, _u236, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u235)), c_Hoare__Mirabelle_Otriple_Otriple(_u235, _u240, _u238, _u239)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u235), tc_HOL_Obool)))) | ~hBOOL(hAPP(hAPP(_u237, skolem5(_u240, _u239, _u238, _u237, _u236, _u235)), skolem6(_u240, _u239, _u238, _u237, _u236, _u235))) )).
% 39.89/40.12 cnf(matrix-1103, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u243, _u244, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u243)), c_Hoare__Mirabelle_Otriple_Otriple(_u243, _u245, _u246, _u247)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u243), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u243, _u244, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u243)), c_Hoare__Mirabelle_Otriple_Otriple(_u243, _u245, _u246, _u248)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u243), tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(_u247, skolem7(_u248, _u247, _u246, _u245, _u244, _u243)), skolem8(_u248, _u247, _u246, _u245, _u244, _u243))) )).
% 39.89/40.12 cnf(matrix-1104, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u243, _u244, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u243)), c_Hoare__Mirabelle_Otriple_Otriple(_u243, _u245, _u246, _u247)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u243), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u243, _u244, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u243)), c_Hoare__Mirabelle_Otriple_Otriple(_u243, _u245, _u246, _u248)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u243), tc_HOL_Obool)))) | ~hBOOL(hAPP(hAPP(_u248, skolem7(_u248, _u247, _u246, _u245, _u244, _u243)), skolem8(_u248, _u247, _u246, _u245, _u244, _u243))) )).
% 39.89/40.12 cnf(matrix-1105, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u249, _u250, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u249)), c_Hoare__Mirabelle_Otriple_Otriple(_u249, _u251, _u252, _u253)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u249), tc_HOL_Obool)))) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u249, _u250, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u249)), c_Hoare__Mirabelle_Otriple_Otriple(_u249, _u253, _u254, _u255)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u249), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u249, _u250, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u249)), c_Hoare__Mirabelle_Otriple_Otriple(_u249, _u251, c_Com_Ocom_OSemi(_u252, _u254), _u255)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u249), tc_HOL_Obool)))) )).
% 39.89/40.12 cnf(matrix-1106, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(_u256, _u257, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u256)), c_Hoare__Mirabelle_Otriple_Otriple(_u256, hAPP(hAPP(c_COMBC(_u256, 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)), _u256), 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)), _u256), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Com_Ostate), c_fconj)), _u258))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Com_Ostate), c_fNot), _u259)), c_Com_Ocom_OWhile(_u259, _u260), _u258)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u256), tc_HOL_Obool)))) )).
% 39.89/40.12 cnf(matrix-1107, plain, ( ~hBOOL(hAPP(_u262, _u264)) | hBOOL(hAPP(_u263, _u264)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u261, tc_HOL_Obool)), _u262), _u263)) )).
% 39.89/40.12 cnf(matrix-1108, plain, ( ~hBOOL(hAPP(_u265, _u266)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u267, tc_HOL_Obool)), _u265), _u268)) | hBOOL(hAPP(_u268, _u266)) )).
% 39.89/40.12 cnf(matrix-1109, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u273, _u274, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u273)), c_Hoare__Mirabelle_Otriple_Otriple(_u273, _u275, _u276, _u277)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u273), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u273, _u274, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u273)), c_Hoare__Mirabelle_Otriple_Otriple(_u273, _u278, _u276, _u279)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u273), tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(_u278, skolem9(_u279, _u278, _u277, _u276, _u275, _u274, _u273)), skolem10(_u279, _u278, _u277, _u276, _u275, _u274, _u273))) )).
% 39.89/40.12 cnf(matrix-1110, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u273, _u274, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u273)), c_Hoare__Mirabelle_Otriple_Otriple(_u273, _u275, _u276, _u277)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u273), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u273, _u274, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u273)), c_Hoare__Mirabelle_Otriple_Otriple(_u273, _u278, _u276, _u279)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u273), tc_HOL_Obool)))) | ~hBOOL(hAPP(hAPP(_u275, _u269), skolem10(_u279, _u278, _u277, _u276, _u275, _u274, _u273))) | hBOOL(hAPP(hAPP(_u277, _u269), skolem11(_u279, _u278, _u277, _u276, _u275, _u274, _u273))) )).
% 39.89/40.12 cnf(matrix-1111, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u273, _u274, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u273)), c_Hoare__Mirabelle_Otriple_Otriple(_u273, _u275, _u276, _u277)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u273), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u273, _u274, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u273)), c_Hoare__Mirabelle_Otriple_Otriple(_u273, _u278, _u276, _u279)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u273), tc_HOL_Obool)))) | ~hBOOL(hAPP(hAPP(_u279, skolem9(_u279, _u278, _u277, _u276, _u275, _u274, _u273)), skolem11(_u279, _u278, _u277, _u276, _u275, _u274, _u273))) )).
% 39.89/40.12 cnf(matrix-1112, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(_u280, _u281, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u280)), c_Hoare__Mirabelle_Otriple_Otriple(_u280, hAPP(hAPP(c_COMBC(_u280, tc_fun(tc_Com_Ostate, tc_Com_Ostate), tc_fun(tc_Com_Ostate, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate, tc_HOL_Obool), tc_fun(tc_fun(tc_Com_Ostate, tc_Com_Ostate), tc_fun(tc_Com_Ostate, tc_HOL_Obool)), _u280), c_COMBB(tc_Com_Ostate, tc_HOL_Obool, tc_Com_Ostate)), _u282)), hAPP(hAPP(c_COMBS(tc_Com_Ostate, tc_Nat_Onat, tc_Com_Ostate), hAPP(hAPP(c_COMBC(tc_Com_Ostate, tc_Com_Ovname, tc_fun(tc_Nat_Onat, tc_Com_Ostate)), c_Natural_Oupdate), _u283)), _u284)), c_Com_Ocom_OAss(_u283, _u284), _u282)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u280), tc_HOL_Obool)))) )).
% 39.89/40.12 cnf(matrix-1113, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(_u285, _u286, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u285)), c_Hoare__Mirabelle_Otriple_Otriple(_u285, hAPP(hAPP(c_COMBC(_u285, tc_fun(tc_Com_Ostate, tc_Com_Ostate), tc_fun(tc_Com_Ostate, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate, tc_HOL_Obool), tc_fun(tc_fun(tc_Com_Ostate, tc_Com_Ostate), tc_fun(tc_Com_Ostate, tc_HOL_Obool)), _u285), c_COMBB(tc_Com_Ostate, tc_HOL_Obool, tc_Com_Ostate)), _u287)), hAPP(hAPP(c_COMBS(tc_Com_Ostate, tc_Nat_Onat, tc_Com_Ostate), hAPP(hAPP(c_COMBC(tc_Com_Ostate, tc_Com_Ovname, tc_fun(tc_Nat_Onat, tc_Com_Ostate)), c_Natural_Oupdate), _u288)), _u289)), c_Com_Ocom_OAss(_u288, _u289), _u287)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u285), tc_HOL_Obool)))) )).
% 39.89/40.12 cnf(matrix-1114, plain, ( ~class_Orderings_Oorder(_u290) | ~class_Enum_Oenum(_u291) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u291, _u290)), _u292), _u293)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u291), hAPP(hAPP(c_COMBS(_u291, _u290, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u290, tc_fun(_u290, tc_HOL_Obool), _u291), c_Orderings_Oord__class_Oless__eq(_u290)), _u292)), _u293))) )).
% 39.89/40.12 cnf(matrix-1115, plain, ( ~class_Orderings_Oorder(_u290) | ~class_Enum_Oenum(_u291) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u291), hAPP(hAPP(c_COMBS(_u291, _u290, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u290, tc_fun(_u290, tc_HOL_Obool), _u291), c_Orderings_Oord__class_Oless__eq(_u290)), _u292)), _u293))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u291, _u290)), _u292), _u293)) )).
% 39.89/40.12 cnf(matrix-1116, plain, ( ~class_Enum_Oenum(_u296) | ~hBOOL(hAPP(_u297, skolem12(_u297, _u296))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u296), _u297)) )).
% 39.89/40.12 cnf(matrix-1117, plain, ( ~class_Enum_Oenum(_u296) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u296), _u297)) | hBOOL(hAPP(_u297, _u295)) )).
% 39.89/40.12 cnf(matrix-1118, plain, ( ~class_Enum_Oenum(_u300) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u300), _u301)) | hBOOL(hAPP(_u301, _u298)) )).
% 39.89/40.12 cnf(matrix-1119, plain, ( ~class_Enum_Oenum(_u300) | ~hBOOL(hAPP(_u301, skolem13(_u301, _u300))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u300), _u301)) )).
% 39.89/40.12 cnf(matrix-1120, plain, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(_u302, _u303)) )).
% 39.89/40.12 cnf(matrix-1121, plain, ( ( c_Com_Ocom_OSemi(_u304, _u305) != c_Com_Ocom_OSKIP) )).
% 39.89/40.12 cnf(matrix-1122, plain, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OAss(_u306, _u307)) )).
% 39.89/40.12 cnf(matrix-1123, plain, ( ( c_Com_Ocom_OAss(_u308, _u309) != c_Com_Ocom_OSKIP) )).
% 39.89/40.12 cnf(matrix-1124, plain, ( ( c_Com_Ocom_OSemi(_u310, _u311) != c_Com_Ocom_OAss(_u312, _u313)) )).
% 39.89/40.12 cnf(matrix-1125, plain, ( ( c_Com_Ocom_OAss(_u314, _u315) != c_Com_Ocom_OSemi(_u316, _u317)) )).
% 39.89/40.12 cnf(matrix-1126, plain, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OWhile(_u318, _u319)) )).
% 39.89/40.12 cnf(matrix-1127, plain, ( ( c_Com_Ocom_OWhile(_u320, _u321) != c_Com_Ocom_OSKIP) )).
% 39.89/40.12 cnf(matrix-1128, plain, ( ( c_Com_Ocom_OWhile(_u322, _u323) != c_Com_Ocom_OSemi(_u324, _u325)) )).
% 39.89/40.12 cnf(matrix-1129, plain, ( ( c_Com_Ocom_OSemi(_u326, _u327) != c_Com_Ocom_OWhile(_u328, _u329)) )).
% 39.89/40.12 cnf(matrix-1130, plain, ( ( c_Com_Ocom_OWhile(_u330, _u331) != c_Com_Ocom_OAss(_u332, _u333)) )).
% 39.89/40.12 cnf(matrix-1131, plain, ( ( c_Com_Ocom_OAss(_u334, _u335) != c_Com_Ocom_OWhile(_u336, _u337)) )).
% 39.89/40.12 cnf(matrix-1132, plain, ( ( c_Com_Ocom_OWhile(_u342, _u344) != c_Com_Ocom_OWhile(_u346, _u348)) | ( _u342 = _u346) )).
% 39.89/40.12 cnf(matrix-1133, plain, ( ( c_Com_Ocom_OWhile(_u342, _u344) != c_Com_Ocom_OWhile(_u346, _u348)) | ( _u344 = _u348) )).
% 39.89/40.12 cnf(matrix-1134, plain, ( ( _u343 != _u347) | ( _u345 != _u349) | ( c_Com_Ocom_OWhile(_u343, _u345) = c_Com_Ocom_OWhile(_u347, _u349)) )).
% 39.89/40.12 cnf(matrix-1135, plain, ( ( c_Com_Ocom_OAss(_u354, _u356) != c_Com_Ocom_OAss(_u358, _u360)) | ( _u354 = _u358) )).
% 39.89/40.12 cnf(matrix-1136, plain, ( ( c_Com_Ocom_OAss(_u354, _u356) != c_Com_Ocom_OAss(_u358, _u360)) | ( _u356 = _u360) )).
% 39.89/40.12 cnf(matrix-1137, plain, ( ( _u355 != _u359) | ( _u357 != _u361) | ( c_Com_Ocom_OAss(_u355, _u357) = c_Com_Ocom_OAss(_u359, _u361)) )).
% 39.89/40.12 cnf(matrix-1138, plain, ( ( c_Com_Ocom_OSemi(_u366, _u368) != c_Com_Ocom_OSemi(_u370, _u372)) | ( _u366 = _u370) )).
% 39.89/40.12 cnf(matrix-1139, plain, ( ( c_Com_Ocom_OSemi(_u366, _u368) != c_Com_Ocom_OSemi(_u370, _u372)) | ( _u368 = _u372) )).
% 39.89/40.12 cnf(matrix-1140, plain, ( ( _u367 != _u371) | ( _u369 != _u373) | ( c_Com_Ocom_OSemi(_u367, _u369) = c_Com_Ocom_OSemi(_u371, _u373)) )).
% 39.89/40.12 cnf(matrix-1141, plain, ( ( c_Set_Othe__elem(_u374, _u375) = c_HOL_OThe(_u374, hAPP(hAPP(c_COMBB(tc_fun(_u374, tc_HOL_Obool), tc_HOL_Obool, _u374), hAPP(c_fequal, _u375)), hAPP(hAPP(c_COMBC(_u374, tc_fun(_u374, tc_HOL_Obool), tc_fun(_u374, tc_HOL_Obool)), c_Set_Oinsert(_u374)), c_Orderings_Obot__class_Obot(tc_fun(_u374, tc_HOL_Obool)))))) )).
% 39.89/40.12 cnf(matrix-1142, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u376, _u377, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u376)), c_Hoare__Mirabelle_Otriple_Otriple(_u376, c_Hoare__Mirabelle_Opeek__and(_u376, _u378, _u379), _u380, _u378)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u376), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u376, _u377, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u376)), c_Hoare__Mirabelle_Otriple_Otriple(_u376, _u378, c_Com_Ocom_OWhile(_u379, _u380), c_Hoare__Mirabelle_Opeek__and(_u376, _u378, hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, tc_Com_Ostate, c_fNot), _u379)))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u376), tc_HOL_Obool)))) )).
% 39.89/40.12 cnf(matrix-1143, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u381, tc_HOL_Obool)), _u382), _u383)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u381, tc_HOL_Obool), tc_HOL_Obool)), c_Predicate_OPowp(_u381, _u382)), c_Predicate_OPowp(_u381, _u383))) )).
% 39.89/40.12 cnf(matrix-1144, plain, ( ~class_Orderings_Owellorder(_u384) | ~hBOOL(hAPP(_u385, _u386)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u384), c_Orderings_Oord__class_OLeast(_u384, _u385)), _u386)) )).
% 39.89/40.12 cnf(matrix-1145, plain, ( ~class_Orderings_Oord(_u388) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u388), hAPP(_u389, skolem14(_u391, _u390, _u389, _u388))), hAPP(_u390, skolem14(_u391, _u390, _u389, _u388)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u391, _u388)), _u389), _u390)) )).
% 39.89/40.12 cnf(matrix-1146, plain, ( hBOOL(hAPP(hAPP(_u402, hAPP(_u404, _u406)), hAPP(_u404, _u408))) | ~c_Predicate_Oinv__imagep(_u398, _u400, _u402, _u404, _u406, _u408) )).
% 39.89/40.12 cnf(matrix-1147, plain, ( ~hBOOL(hAPP(hAPP(_u403, hAPP(_u405, _u407)), hAPP(_u405, _u409))) | c_Predicate_Oinv__imagep(_u399, _u401, _u403, _u405, _u407, _u409) )).
% 39.89/40.12 cnf(matrix-1148, plain, ( ( c_Com_Ocom_Ocom__case(_u410, _u411, _u412, _u413, _u414, _u415, _u416, _u417, _u418, c_Com_Ocom_OSKIP) = _u411) )).
% 39.89/40.12 cnf(matrix-1149, plain, ( ( c_Com_Ocom_Ocom__case(_u419, _u420, _u421, _u422, _u423, _u424, _u425, _u426, _u427, c_Com_Ocom_OSemi(_u428, _u429)) = hAPP(hAPP(_u423, _u428), _u429)) )).
% 39.89/40.12 cnf(matrix-1150, plain, ( ( c_Com_Ocom_Ocom__case(_u430, _u431, _u432, _u433, _u434, _u435, _u436, _u437, _u438, c_Com_Ocom_OAss(_u439, _u440)) = hAPP(hAPP(_u432, _u439), _u440)) )).
% 39.89/40.12 cnf(matrix-1151, plain, ( ~class_Orderings_Oorder(_u441) | ~class_Orderings_Olinorder(_u442) | ~c_Orderings_Oorder__class_Ostrict__mono(_u442, _u441, _u443) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u441), hAPP(_u443, _u444)), hAPP(_u443, _u445))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u442), _u444), _u445)) )).
% 39.89/40.12 cnf(matrix-1152, plain, ( ~class_Orderings_Oorder(_u441) | ~class_Orderings_Olinorder(_u442) | ~c_Orderings_Oorder__class_Ostrict__mono(_u442, _u441, _u443) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u442), _u444), _u445)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u441), hAPP(_u443, _u444)), hAPP(_u443, _u445))) )).
% 39.89/40.12 cnf(matrix-1153, plain, ( ( c_Com_Ocom_Ocom__case(_u446, _u447, _u448, _u449, _u450, _u451, _u452, _u453, _u454, c_Com_Ocom_OWhile(_u455, _u456)) = hAPP(hAPP(_u452, _u455), _u456)) )).
% 39.89/40.12 cnf(matrix-1154, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u457, _u458, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u457)), c_Hoare__Mirabelle_Otriple_Otriple(_u457, _u459, _u460, hAPP(hAPP(c_COMBC(_u457, tc_fun(tc_Com_Ostate, tc_Com_Ostate), tc_fun(tc_Com_Ostate, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate, tc_HOL_Obool), tc_fun(tc_fun(tc_Com_Ostate, tc_Com_Ostate), tc_fun(tc_Com_Ostate, tc_HOL_Obool)), _u457), c_COMBB(tc_Com_Ostate, tc_HOL_Obool, tc_Com_Ostate)), _u461)), hAPP(hAPP(c_COMBC(tc_Com_Ostate, tc_Nat_Onat, tc_Com_Ostate), hAPP(hAPP(c_COMBC(tc_Com_Ostate, tc_Com_Ovname, tc_fun(tc_Nat_Onat, tc_Com_Ostate)), c_Natural_Oupdate), c_Com_Ovname_OLoc(_u462))), c_Natural_Ogetlocs(_u463, _u462))))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u457), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u457, _u458, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u457)), c_Hoare__Mirabelle_Otriple_Otriple(_u457, hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate, tc_HOL_Obool), tc_fun(tc_Com_Ostate, tc_HOL_Obool), _u457), hAPP(c_COMBS(tc_Com_Ostate, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Com_Ostate), c_fconj), hAPP(c_fequal, _u463)))), hAPP(hAPP(c_COMBC(_u457, tc_fun(tc_Com_Ostate, tc_Com_Ostate), tc_fun(tc_Com_Ostate, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate, tc_HOL_Obool), tc_fun(tc_fun(tc_Com_Ostate, tc_Com_Ostate), tc_fun(tc_Com_Ostate, tc_HOL_Obool)), _u457), c_COMBB(tc_Com_Ostate, tc_HOL_Obool, tc_Com_Ostate)), _u459)), hAPP(hAPP(c_COMBS(tc_Com_Ostate, tc_Nat_Onat, tc_Com_Ostate), hAPP(hAPP(c_COMBC(tc_Com_Ostate, tc_Com_Ovname, tc_fun(tc_Nat_Onat, tc_Com_Ostate)), c_Natural_Oupdate), c_Com_Ovname_OLoc(_u462))), _u464))), c_Com_Ocom_OLocal(_u462, _u464, _u460), _u461)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u457), tc_HOL_Obool)))) )).
% 39.89/40.12 cnf(matrix-1155, plain, ( ( c_Com_Ovname_OLoc(_u467) != c_Com_Ovname_OLoc(_u469)) | ( _u467 = _u469) )).
% 39.89/40.12 cnf(matrix-1156, plain, ( ( _u468 != _u470) | ( c_Com_Ovname_OLoc(_u468) = c_Com_Ovname_OLoc(_u470)) )).
% 39.89/40.12 cnf(matrix-1157, plain, ( ( c_Com_Ocom_OLocal(_u477, _u479, _u481) != c_Com_Ocom_OLocal(_u483, _u485, _u487)) | ( _u477 = _u483) )).
% 39.89/40.12 cnf(matrix-1158, plain, ( ( c_Com_Ocom_OLocal(_u477, _u479, _u481) != c_Com_Ocom_OLocal(_u483, _u485, _u487)) | ( _u479 = _u485) )).
% 39.89/40.12 cnf(matrix-1159, plain, ( ( c_Com_Ocom_OLocal(_u477, _u479, _u481) != c_Com_Ocom_OLocal(_u483, _u485, _u487)) | ( _u481 = _u487) )).
% 39.89/40.12 cnf(matrix-1160, plain, ( ( _u478 != _u484) | ( _u480 != _u486) | ( _u482 != _u488) | ( c_Com_Ocom_OLocal(_u478, _u480, _u482) = c_Com_Ocom_OLocal(_u484, _u486, _u488)) )).
% 39.89/40.12 cnf(matrix-1161, plain, ( ( c_Com_Ocom_Ocom__case(_u489, _u490, _u491, _u492, _u493, _u494, _u495, _u496, _u497, c_Com_Ocom_OLocal(_u498, _u499, _u500)) = hAPP(hAPP(hAPP(_u492, _u498), _u499), _u500)) )).
% 39.89/40.12 cnf(matrix-1162, plain, ( ~class_Orderings_Owellorder(_u502) | ~hBOOL(hAPP(_u503, _u501)) | hBOOL(hAPP(_u503, c_Orderings_Oord__class_OLeast(_u502, _u503))) )).
% 39.89/40.12 cnf(matrix-1163, plain, ( ~class_Orderings_Oorder(_u504) | ~class_Orderings_Olinorder(_u505) | ~c_Orderings_Oorder__class_Ostrict__mono(_u505, _u504, _u506) | ( hAPP(_u506, _u507) != hAPP(_u506, _u508)) | ( _u507 = _u508) )).
% 39.89/40.12 cnf(matrix-1164, plain, ( ~class_Orderings_Oorder(_u504) | ~class_Orderings_Olinorder(_u505) | ~c_Orderings_Oorder__class_Ostrict__mono(_u505, _u504, _u506) | ( _u507 != _u508) | ( hAPP(_u506, _u507) = hAPP(_u506, _u508)) )).
% 39.89/40.12 cnf(matrix-1165, plain, ( ~class_Orderings_Owellorder(_u509) | ~hBOOL(hAPP(_u510, _u511)) | hBOOL(hAPP(_u510, c_Orderings_Oord__class_OLeast(_u509, _u510))) )).
% 39.89/40.12 cnf(matrix-1166, plain, ( hBOOL(hAPP(hAPP(_u522, hAPP(_u524, _u526)), hAPP(_u524, _u528))) | ~c_Predicate_Oinv__imagep(_u518, _u520, _u522, _u524, _u526, _u528) )).
% 39.89/40.12 cnf(matrix-1167, plain, ( ~hBOOL(hAPP(hAPP(_u523, hAPP(_u525, _u527)), hAPP(_u525, _u529))) | c_Predicate_Oinv__imagep(_u519, _u521, _u523, _u525, _u527, _u529) )).
% 39.89/40.12 cnf(matrix-1168, plain, ( ~hBOOL(hAPP(hAPP(c_Hoare__Mirabelle_Opeek__and(_u535, _u537, _u539), _u541), _u543)) | hBOOL(hAPP(hAPP(_u537, _u541), _u543)) )).
% 39.89/40.12 cnf(matrix-1169, plain, ( ~hBOOL(hAPP(hAPP(c_Hoare__Mirabelle_Opeek__and(_u535, _u537, _u539), _u541), _u543)) | hBOOL(hAPP(_u539, _u543)) )).
% 39.89/40.12 cnf(matrix-1170, plain, ( ~hBOOL(hAPP(hAPP(_u538, _u542), _u544)) | ~hBOOL(hAPP(_u540, _u544)) | hBOOL(hAPP(hAPP(c_Hoare__Mirabelle_Opeek__and(_u536, _u538, _u540), _u542), _u544)) )).
% 39.89/40.12 cnf(matrix-1171, plain, ( ( c_Com_Ocom_OLocal(_u545, _u546, _u547) != c_Com_Ocom_OWhile(_u548, _u549)) )).
% 39.89/40.12 cnf(matrix-1172, plain, ( ( c_Com_Ocom_OWhile(_u550, _u551) != c_Com_Ocom_OLocal(_u552, _u553, _u554)) )).
% 39.89/40.12 cnf(matrix-1173, plain, ( ( c_Com_Ocom_OLocal(_u555, _u556, _u557) != c_Com_Ocom_OAss(_u558, _u559)) )).
% 39.89/40.12 cnf(matrix-1174, plain, ( ( c_Com_Ocom_OAss(_u560, _u561) != c_Com_Ocom_OLocal(_u562, _u563, _u564)) )).
% 39.89/40.12 cnf(matrix-1175, plain, ( ( c_Com_Ocom_OLocal(_u565, _u566, _u567) != c_Com_Ocom_OSemi(_u568, _u569)) )).
% 39.89/40.12 cnf(matrix-1176, plain, ( ( c_Com_Ocom_OSemi(_u570, _u571) != c_Com_Ocom_OLocal(_u572, _u573, _u574)) )).
% 39.89/40.12 cnf(matrix-1177, plain, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OLocal(_u575, _u576, _u577)) )).
% 39.89/40.12 cnf(matrix-1178, plain, ( ( c_Com_Ocom_OLocal(_u578, _u579, _u580) != c_Com_Ocom_OSKIP) )).
% 39.89/40.12 cnf(matrix-1179, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u581, _u582, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u581)), c_Hoare__Mirabelle_Otriple_Otriple(_u581, c_Hoare__Mirabelle_Opeek__and(_u581, _u583, _u584), _u585, _u586)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u581), tc_HOL_Obool)))) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u581, _u582, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u581)), c_Hoare__Mirabelle_Otriple_Otriple(_u581, c_Hoare__Mirabelle_Opeek__and(_u581, _u583, hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, tc_Com_Ostate, c_fNot), _u584)), _u587, _u586)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u581), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u581, _u582, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u581)), c_Hoare__Mirabelle_Otriple_Otriple(_u581, _u583, c_Com_Ocom_OCond(_u584, _u585, _u587), _u586)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u581), tc_HOL_Obool)))) )).
% 39.89/40.12 cnf(matrix-1180, plain, ( ( c_Enum_Oenum__the(_u588, _u589) = c_HOL_OThe(_u588, _u589)) )).
% 39.89/40.12 cnf(matrix-1181, plain, ( ( c_HOL_OThe(_u590, hAPP(hAPP(c_COMBC(_u590, _u590, tc_HOL_Obool), c_fequal), _u591)) = _u591) )).
% 39.89/40.12 cnf(matrix-1182, plain, ( ( c_HOL_OThe(_u592, hAPP(c_fequal, _u593)) = _u593) )).
% 39.89/40.12 cnf(matrix-1183, plain, ( ( c_Com_Ovname_Ovname__rec(_u594, _u595, _u596, c_Com_Ovname_OLoc(_u597)) = hAPP(_u596, _u597)) )).
% 39.89/40.12 cnf(matrix-1184, plain, ( ( c_Com_Ovname_Ovname__case(_u598, _u599, _u600, c_Com_Ovname_OLoc(_u601)) = hAPP(_u600, _u601)) )).
% 39.89/40.12 cnf(matrix-1185, plain, ( ( hAPP(hAPP(c_Fun_Ocomp(_u602, _u603, _u604, hAPP(c_COMBK(_u603, _u602), _u605)), _u606), _u607) = _u605) )).
% 39.89/40.12 cnf(matrix-1186, plain, ( ( hAPP(hAPP(c_Fun_Ocomp(_u608, _u609, _u610, _u611), _u612), _u613) = hAPP(_u611, hAPP(_u612, _u613))) )).
% 39.89/40.12 cnf(matrix-1187, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u614), hAPP(hAPP(hAPP(c_Natural_Oupdate, _u615), c_Com_Ovname_OLoc(_u616)), hAPP(_u617, _u615))), _u618)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OLocal(_u616, _u617, _u614)), _u615), hAPP(hAPP(hAPP(c_Natural_Oupdate, _u618), c_Com_Ovname_OLoc(_u616)), c_Natural_Ogetlocs(_u615, _u616)))) )).
% 39.89/40.12 cnf(matrix-1188, plain, ( ~c_Natural_Oevaln(_u619, hAPP(hAPP(hAPP(c_Natural_Oupdate, _u620), c_Com_Ovname_OLoc(_u621)), hAPP(_u622, _u620)), _u623, _u624) | c_Natural_Oevaln(c_Com_Ocom_OLocal(_u621, _u622, _u619), _u620, _u623, hAPP(hAPP(hAPP(c_Natural_Oupdate, _u624), c_Com_Ovname_OLoc(_u621)), c_Natural_Ogetlocs(_u620, _u621))) )).
% 39.89/40.12 cnf(matrix-1189, plain, ( ( hAPP(_u629, hAPP(_u630, _u625)) = hAPP(_u632, hAPP(_u633, _u625))) | ( hAPP(c_Fun_Ocomp(_u626, _u627, _u628, _u629), _u630) != hAPP(c_Fun_Ocomp(_u631, _u627, _u628, _u632), _u633)) )).
% 39.89/40.12 cnf(matrix-1190, plain, ( hBOOL(hAPP(_u634, _u635)) | c_Natural_Oevaln(c_Com_Ocom_OWhile(_u634, _u636), _u635, _u637, _u635) )).
% 39.89/40.12 cnf(matrix-1191, plain, ( ~hBOOL(hAPP(_u638, _u639)) | ~c_Natural_Oevaln(_u640, _u639, _u641, _u642) | ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u638, _u640), _u642, _u641, _u643) | c_Natural_Oevaln(c_Com_Ocom_OWhile(_u638, _u640), _u639, _u641, _u643) )).
% 39.89/40.12 cnf(matrix-1192, plain, ( hBOOL(hAPP(_u644, _u645)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u644, _u646)), _u645), _u645)) )).
% 39.89/40.12 cnf(matrix-1193, plain, ( ~hBOOL(hAPP(_u647, _u648)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u649), _u648), _u650)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u647, _u649)), _u650), _u651)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u647, _u649)), _u648), _u651)) )).
% 39.89/40.12 cnf(matrix-1194, plain, ( hBOOL(hAPP(_u652, _u653)) | ~c_Natural_Oevaln(_u654, _u653, _u655, _u656) | c_Natural_Oevaln(c_Com_Ocom_OCond(_u652, _u657, _u654), _u653, _u655, _u656) )).
% 39.89/40.12 cnf(matrix-1195, plain, ( ~hBOOL(hAPP(_u658, _u659)) | ~c_Natural_Oevaln(_u660, _u659, _u661, _u662) | c_Natural_Oevaln(c_Com_Ocom_OCond(_u658, _u660, _u663), _u659, _u661, _u662) )).
% 39.89/40.12 cnf(matrix-1196, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u664, _u665, _u666), _u667, _u668, _u669) | hBOOL(hAPP(_u664, _u667)) | c_Natural_Oevaln(_u666, _u667, _u668, _u669) )).
% 39.89/40.12 cnf(matrix-1197, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u664, _u665, _u666), _u667, _u668, _u669) | c_Natural_Oevaln(_u665, _u667, _u668, _u669) | ~hBOOL(hAPP(_u664, _u667)) )).
% 39.89/40.12 cnf(matrix-1198, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u664, _u665, _u666), _u667, _u668, _u669) | c_Natural_Oevaln(_u665, _u667, _u668, _u669) | c_Natural_Oevaln(_u666, _u667, _u668, _u669) )).
% 39.89/40.12 cnf(matrix-1199, plain, ( hBOOL(hAPP(_u670, _u671)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u672), _u671), _u673)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u670, _u674, _u672)), _u671), _u673)) )).
% 39.89/40.12 cnf(matrix-1200, plain, ( ~hBOOL(hAPP(_u675, _u676)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u677), _u676), _u678)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u675, _u677, _u679)), _u676), _u678)) )).
% 39.89/40.12 cnf(matrix-1201, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u680, _u681, _u682)), _u683), _u684)) | hBOOL(hAPP(_u680, _u683)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u682), _u683), _u684)) )).
% 39.89/40.12 cnf(matrix-1202, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u680, _u681, _u682)), _u683), _u684)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u681), _u683), _u684)) | ~hBOOL(hAPP(_u680, _u683)) )).
% 39.89/40.12 cnf(matrix-1203, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u680, _u681, _u682)), _u683), _u684)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u681), _u683), _u684)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u682), _u683), _u684)) )).
% 39.89/40.12 cnf(matrix-1204, plain, ( ~c_Natural_Oevaln(_u685, _u686, _u687, _u688) | ~c_Natural_Oevaln(_u689, _u688, _u687, _u690) | c_Natural_Oevaln(c_Com_Ocom_OSemi(_u685, _u689), _u686, _u687, _u690) )).
% 39.89/40.12 cnf(matrix-1205, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OSKIP, _u691, _u692, _u693) | ( _u693 = _u691) )).
% 39.89/40.12 cnf(matrix-1206, plain, ( c_Natural_Oevaln(c_Com_Ocom_OSKIP, _u694, _u695, _u694) )).
% 39.89/40.12 cnf(matrix-1207, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u696), _u697), _u698)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u699), _u698), _u700)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(_u696, _u699)), _u697), _u700)) )).
% 39.89/40.12 cnf(matrix-1208, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP), _u701), _u702)) | ( _u702 = _u701) )).
% 39.89/40.12 cnf(matrix-1209, plain, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP), _u703), _u703)) )).
% 39.89/40.12 cnf(matrix-1210, plain, ( c_Natural_Oevaln(c_Com_Ocom_OAss(_u704, _u705), _u706, _u707, hAPP(hAPP(hAPP(c_Natural_Oupdate, _u706), _u704), hAPP(_u705, _u706))) )).
% 39.89/40.12 cnf(matrix-1211, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OAss(_u708, _u709), _u710, _u711, _u712) | ( _u712 = hAPP(hAPP(hAPP(c_Natural_Oupdate, _u710), _u708), hAPP(_u709, _u710))) )).
% 39.89/40.12 cnf(matrix-1212, plain, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OAss(_u713, _u714)), _u715), hAPP(hAPP(hAPP(c_Natural_Oupdate, _u715), _u713), hAPP(_u714, _u715)))) )).
% 39.89/40.12 cnf(matrix-1213, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OAss(_u716, _u717)), _u718), _u719)) | ( _u719 = hAPP(hAPP(hAPP(c_Natural_Oupdate, _u718), _u716), hAPP(_u717, _u718))) )).
% 39.89/40.12 cnf(matrix-1214, plain, ( ~c_Natural_Oevaln(_u720, _u721, _u722, _u723) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u722), _u724)) | c_Natural_Oevaln(_u720, _u721, _u724, _u723) )).
% 39.89/40.12 cnf(matrix-1215, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u730), _u732), _u734)) | c_Natural_Oevaln(_u730, _u732, skolem15(_u734, _u732, _u730), _u734) )).
% 39.89/40.12 cnf(matrix-1216, plain, ( ~c_Natural_Oevaln(_u731, _u733, _u726, _u735) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u731), _u733), _u735)) )).
% 39.89/40.12 cnf(matrix-1217, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u741, _u743, _u745)), _u747), _u749)) | hBOOL(hAPP(_u741, _u747)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u745), _u747), _u749)) )).
% 39.89/40.12 cnf(matrix-1218, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u741, _u743, _u745)), _u747), _u749)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u743), _u747), _u749)) | ~hBOOL(hAPP(_u741, _u747)) )).
% 39.89/40.12 cnf(matrix-1219, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u741, _u743, _u745)), _u747), _u749)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u743), _u747), _u749)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u745), _u747), _u749)) )).
% 39.89/40.12 cnf(matrix-1220, plain, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u742, _u744, _u746)), _u748), _u750)) | ~hBOOL(hAPP(_u742, _u748)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u744), _u748), _u750)) )).
% 39.89/40.12 cnf(matrix-1221, plain, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u742, _u744, _u746)), _u748), _u750)) | hBOOL(hAPP(_u742, _u748)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u746), _u748), _u750)) )).
% 39.89/40.12 cnf(matrix-1222, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u756, _u758, _u760)), _u762), _u764)) | hBOOL(hAPP(_u756, _u762)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u760), _u762), _u764)) )).
% 39.89/40.12 cnf(matrix-1223, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u756, _u758, _u760)), _u762), _u764)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u758), _u762), _u764)) | ~hBOOL(hAPP(_u756, _u762)) )).
% 39.89/40.12 cnf(matrix-1224, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u756, _u758, _u760)), _u762), _u764)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u758), _u762), _u764)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u760), _u762), _u764)) )).
% 39.89/40.12 cnf(matrix-1225, plain, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u757, _u759, _u761)), _u763), _u765)) | ~hBOOL(hAPP(_u757, _u763)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u759), _u763), _u765)) )).
% 39.89/40.12 cnf(matrix-1226, plain, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u757, _u759, _u761)), _u763), _u765)) | hBOOL(hAPP(_u757, _u763)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u761), _u763), _u765)) )).
% 39.89/40.12 cnf(matrix-1227, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u772, _u774, _u776), _u778, _u780, _u782) | hBOOL(hAPP(_u772, _u778)) | c_Natural_Oevaln(_u776, _u778, _u780, _u782) )).
% 39.89/40.12 cnf(matrix-1228, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u772, _u774, _u776), _u778, _u780, _u782) | c_Natural_Oevaln(_u774, _u778, _u780, _u782) | ~hBOOL(hAPP(_u772, _u778)) )).
% 39.89/40.12 cnf(matrix-1229, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u772, _u774, _u776), _u778, _u780, _u782) | c_Natural_Oevaln(_u774, _u778, _u780, _u782) | c_Natural_Oevaln(_u776, _u778, _u780, _u782) )).
% 39.89/40.12 cnf(matrix-1230, plain, ( c_Natural_Oevaln(c_Com_Ocom_OCond(_u773, _u775, _u777), _u779, _u781, _u783) | ~hBOOL(hAPP(_u773, _u779)) | ~c_Natural_Oevaln(_u775, _u779, _u781, _u783) )).
% 39.89/40.12 cnf(matrix-1231, plain, ( c_Natural_Oevaln(c_Com_Ocom_OCond(_u773, _u775, _u777), _u779, _u781, _u783) | hBOOL(hAPP(_u773, _u779)) | ~c_Natural_Oevaln(_u777, _u779, _u781, _u783) )).
% 39.89/40.12 cnf(matrix-1232, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u790, _u792, _u794), _u796, _u798, _u800) | hBOOL(hAPP(_u790, _u796)) | c_Natural_Oevaln(_u794, _u796, _u798, _u800) )).
% 39.89/40.12 cnf(matrix-1233, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u790, _u792, _u794), _u796, _u798, _u800) | c_Natural_Oevaln(_u792, _u796, _u798, _u800) | ~hBOOL(hAPP(_u790, _u796)) )).
% 39.89/40.12 cnf(matrix-1234, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u790, _u792, _u794), _u796, _u798, _u800) | c_Natural_Oevaln(_u792, _u796, _u798, _u800) | c_Natural_Oevaln(_u794, _u796, _u798, _u800) )).
% 39.89/40.12 cnf(matrix-1235, plain, ( c_Natural_Oevaln(c_Com_Ocom_OCond(_u791, _u793, _u795), _u797, _u799, _u801) | ~hBOOL(hAPP(_u791, _u797)) | ~c_Natural_Oevaln(_u793, _u797, _u799, _u801) )).
% 39.89/40.12 cnf(matrix-1236, plain, ( c_Natural_Oevaln(c_Com_Ocom_OCond(_u791, _u793, _u795), _u797, _u799, _u801) | hBOOL(hAPP(_u791, _u797)) | ~c_Natural_Oevaln(_u795, _u797, _u799, _u801) )).
% 39.89/40.12 cnf(matrix-1237, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u802), _u803), _u804)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u802), _u803), _u805)) | ( _u805 = _u804) )).
% 39.89/40.12 cnf(matrix-1238, plain, ( ~c_Natural_Oevaln(_u806, _u807, _u808, _u809) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u806), _u807), _u809)) )).
% 39.89/40.12 cnf(matrix-1239, plain, ( ( c_Com_Ocom_OCond(_u816, _u818, _u820) != c_Com_Ocom_OCond(_u822, _u824, _u826)) | ( _u816 = _u822) )).
% 39.89/40.12 cnf(matrix-1240, plain, ( ( c_Com_Ocom_OCond(_u816, _u818, _u820) != c_Com_Ocom_OCond(_u822, _u824, _u826)) | ( _u818 = _u824) )).
% 39.89/40.12 cnf(matrix-1241, plain, ( ( c_Com_Ocom_OCond(_u816, _u818, _u820) != c_Com_Ocom_OCond(_u822, _u824, _u826)) | ( _u820 = _u826) )).
% 39.89/40.12 cnf(matrix-1242, plain, ( ( _u817 != _u823) | ( _u819 != _u825) | ( _u821 != _u827) | ( c_Com_Ocom_OCond(_u817, _u819, _u821) = c_Com_Ocom_OCond(_u823, _u825, _u827)) )).
% 39.89/40.12 cnf(matrix-1243, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u834, _u836), _u838, _u840, _u838) | ~hBOOL(hAPP(_u834, _u838)) | c_Natural_Oevaln(_u836, _u838, _u840, skolem16(_u840, _u838, _u836, _u834)) )).
% 39.89/40.12 cnf(matrix-1244, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u834, _u836), _u838, _u840, _u838) | ~hBOOL(hAPP(_u834, _u838)) | c_Natural_Oevaln(c_Com_Ocom_OWhile(_u834, _u836), skolem16(_u840, _u838, _u836, _u834), _u840, _u838) )).
% 39.89/40.12 cnf(matrix-1245, plain, ( c_Natural_Oevaln(c_Com_Ocom_OWhile(_u835, _u837), _u839, _u841, _u839) | hBOOL(hAPP(_u835, _u839)) )).
% 39.89/40.12 cnf(matrix-1246, plain, ( c_Natural_Oevaln(c_Com_Ocom_OWhile(_u835, _u837), _u839, _u841, _u839) | ~c_Natural_Oevaln(_u837, _u839, _u841, _u829) | ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u835, _u837), _u829, _u841, _u839) )).
% 39.89/40.12 cnf(matrix-1247, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u849, _u851), _u853, _u855, _u857) | ( _u857 = _u853) | hBOOL(hAPP(_u849, _u853)) )).
% 39.89/40.12 cnf(matrix-1248, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u849, _u851), _u853, _u855, _u857) | ( _u857 = _u853) | c_Natural_Oevaln(_u851, _u853, _u855, skolem17(_u857, _u855, _u853, _u851, _u849)) )).
% 39.89/40.12 cnf(matrix-1249, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u849, _u851), _u853, _u855, _u857) | ( _u857 = _u853) | c_Natural_Oevaln(c_Com_Ocom_OWhile(_u849, _u851), skolem17(_u857, _u855, _u853, _u851, _u849), _u855, _u857) )).
% 39.89/40.12 cnf(matrix-1250, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u849, _u851), _u853, _u855, _u857) | ~hBOOL(hAPP(_u849, _u853)) | c_Natural_Oevaln(_u851, _u853, _u855, skolem17(_u857, _u855, _u853, _u851, _u849)) )).
% 39.89/40.12 cnf(matrix-1251, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u849, _u851), _u853, _u855, _u857) | ~hBOOL(hAPP(_u849, _u853)) | c_Natural_Oevaln(c_Com_Ocom_OWhile(_u849, _u851), skolem17(_u857, _u855, _u853, _u851, _u849), _u855, _u857) )).
% 39.89/40.12 cnf(matrix-1252, plain, ( c_Natural_Oevaln(c_Com_Ocom_OWhile(_u850, _u852), _u854, _u856, _u858) | ( _u858 != _u854) | hBOOL(hAPP(_u850, _u854)) )).
% 39.89/40.12 cnf(matrix-1253, plain, ( c_Natural_Oevaln(c_Com_Ocom_OWhile(_u850, _u852), _u854, _u856, _u858) | ~hBOOL(hAPP(_u850, _u854)) | ~c_Natural_Oevaln(_u852, _u854, _u856, _u843) | ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u850, _u852), _u843, _u856, _u858) )).
% 39.89/40.12 cnf(matrix-1254, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u864, _u866)), _u868), _u868)) | ~hBOOL(hAPP(_u864, _u868)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u866), _u868), skolem18(_u868, _u866, _u864))) )).
% 39.89/40.12 cnf(matrix-1255, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u864, _u866)), _u868), _u868)) | ~hBOOL(hAPP(_u864, _u868)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u864, _u866)), skolem18(_u868, _u866, _u864)), _u868)) )).
% 39.89/40.12 cnf(matrix-1256, plain, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u865, _u867)), _u869), _u869)) | hBOOL(hAPP(_u865, _u869)) )).
% 39.89/40.12 cnf(matrix-1257, plain, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u865, _u867)), _u869), _u869)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u867), _u869), _u860)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u865, _u867)), _u860), _u869)) )).
% 39.89/40.12 cnf(matrix-1258, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u876, _u878)), _u880), _u882)) | ( _u882 = _u880) | hBOOL(hAPP(_u876, _u880)) )).
% 39.89/40.12 cnf(matrix-1259, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u876, _u878)), _u880), _u882)) | ( _u882 = _u880) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u878), _u880), skolem19(_u882, _u880, _u878, _u876))) )).
% 39.89/40.12 cnf(matrix-1260, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u876, _u878)), _u880), _u882)) | ( _u882 = _u880) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u876, _u878)), skolem19(_u882, _u880, _u878, _u876)), _u882)) )).
% 39.89/40.12 cnf(matrix-1261, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u876, _u878)), _u880), _u882)) | ~hBOOL(hAPP(_u876, _u880)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u878), _u880), skolem19(_u882, _u880, _u878, _u876))) )).
% 39.89/40.12 cnf(matrix-1262, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u876, _u878)), _u880), _u882)) | ~hBOOL(hAPP(_u876, _u880)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u876, _u878)), skolem19(_u882, _u880, _u878, _u876)), _u882)) )).
% 39.89/40.12 cnf(matrix-1263, plain, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u877, _u879)), _u881), _u883)) | ( _u883 != _u881) | hBOOL(hAPP(_u877, _u881)) )).
% 39.89/40.12 cnf(matrix-1264, plain, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u877, _u879)), _u881), _u883)) | ~hBOOL(hAPP(_u877, _u881)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u879), _u881), _u871)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u877, _u879)), _u871), _u883)) )).
% 39.89/40.12 cnf(matrix-1265, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OSemi(_u891, _u893), _u895, _u897, _u899) | c_Natural_Oevaln(_u891, _u895, _u897, skolem20(_u899, _u897, _u895, _u893, _u891)) )).
% 39.89/40.12 cnf(matrix-1266, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OSemi(_u891, _u893), _u895, _u897, _u899) | c_Natural_Oevaln(_u893, skolem20(_u899, _u897, _u895, _u893, _u891), _u897, _u899) )).
% 39.89/40.12 cnf(matrix-1267, plain, ( ~c_Natural_Oevaln(_u892, _u896, _u898, _u885) | ~c_Natural_Oevaln(_u894, _u885, _u898, _u900) | c_Natural_Oevaln(c_Com_Ocom_OSemi(_u892, _u894), _u896, _u898, _u900) )).
% 39.89/40.12 cnf(matrix-1268, plain, ( c_Natural_Oevaln(c_Com_Ocom_OSKIP, _u901, _u902, _u901) )).
% 39.89/40.12 cnf(matrix-1269, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(_u909, _u911)), _u913), _u915)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u909), _u913), skolem21(_u915, _u913, _u911, _u909))) )).
% 39.89/40.12 cnf(matrix-1270, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(_u909, _u911)), _u913), _u915)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u911), skolem21(_u915, _u913, _u911, _u909)), _u915)) )).
% 39.89/40.12 cnf(matrix-1271, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u910), _u914), _u904)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u912), _u904), _u916)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(_u910, _u912)), _u914), _u916)) )).
% 39.89/40.12 cnf(matrix-1272, plain, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP), _u917), _u917)) )).
% 39.89/40.12 cnf(matrix-1273, plain, ( ( c_Com_Ocom_OWhile(_u918, _u919) != c_Com_Ocom_OCond(_u920, _u921, _u922)) )).
% 39.89/40.12 cnf(matrix-1274, plain, ( ( c_Com_Ocom_OCond(_u923, _u924, _u925) != c_Com_Ocom_OWhile(_u926, _u927)) )).
% 39.89/40.12 cnf(matrix-1275, plain, ( c_Natural_Oevaln(c_Com_Ocom_OAss(_u928, _u929), _u930, _u931, hAPP(hAPP(hAPP(c_Natural_Oupdate, _u930), _u928), hAPP(_u929, _u930))) )).
% 39.89/40.12 cnf(matrix-1276, plain, ( ( c_Com_Ocom_OAss(_u932, _u933) != c_Com_Ocom_OCond(_u934, _u935, _u936)) )).
% 39.89/40.12 cnf(matrix-1277, plain, ( ( c_Com_Ocom_OCond(_u937, _u938, _u939) != c_Com_Ocom_OAss(_u940, _u941)) )).
% 39.89/40.12 cnf(matrix-1278, plain, ( ( c_Com_Ocom_OSemi(_u942, _u943) != c_Com_Ocom_OCond(_u944, _u945, _u946)) )).
% 39.89/40.12 cnf(matrix-1279, plain, ( ( c_Com_Ocom_OCond(_u947, _u948, _u949) != c_Com_Ocom_OSemi(_u950, _u951)) )).
% 39.89/40.12 cnf(matrix-1280, plain, ( ( c_Com_Ocom_OLocal(_u952, _u953, _u954) != c_Com_Ocom_OCond(_u955, _u956, _u957)) )).
% 39.89/40.12 cnf(matrix-1281, plain, ( ( c_Com_Ocom_OCond(_u958, _u959, _u960) != c_Com_Ocom_OLocal(_u961, _u962, _u963)) )).
% 39.89/40.12 cnf(matrix-1282, plain, ( ( c_Com_Ocom_OCond(_u964, _u965, _u966) != c_Com_Ocom_OSKIP) )).
% 39.89/40.12 cnf(matrix-1283, plain, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OCond(_u967, _u968, _u969)) )).
% 39.89/40.12 cnf(matrix-1284, plain, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OAss(_u970, _u971)), _u972), hAPP(hAPP(hAPP(c_Natural_Oupdate, _u972), _u970), hAPP(_u971, _u972)))) )).
% 39.89/40.12 cnf(matrix-1285, plain, ( ( c_Com_Ocom_Ocom__case(_u973, _u974, _u975, _u976, _u977, _u978, _u979, _u980, _u981, c_Com_Ocom_OCond(_u982, _u983, _u984)) = hAPP(hAPP(hAPP(_u978, _u982), _u983), _u984)) )).
% 39.89/40.12 cnf(matrix-1286, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OLocal(_u993, _u995, _u997), _u999, _u1001, hAPP(hAPP(hAPP(c_Natural_Oupdate, _u1003), c_Com_Ovname_OLoc(_u993)), c_Natural_Ogetlocs(_u999, _u993))) | ( hAPP(hAPP(hAPP(c_Natural_Oupdate, _u1003), c_Com_Ovname_OLoc(_u993)), c_Natural_Ogetlocs(_u999, _u993)) = hAPP(hAPP(hAPP(c_Natural_Oupdate, skolem22(_u1003, _u1001, _u999, _u997, _u995, _u993)), c_Com_Ovname_OLoc(_u993)), c_Natural_Ogetlocs(_u999, _u993))) )).
% 39.89/40.12 cnf(matrix-1287, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OLocal(_u993, _u995, _u997), _u999, _u1001, hAPP(hAPP(hAPP(c_Natural_Oupdate, _u1003), c_Com_Ovname_OLoc(_u993)), c_Natural_Ogetlocs(_u999, _u993))) | c_Natural_Oevaln(_u997, hAPP(hAPP(hAPP(c_Natural_Oupdate, _u999), c_Com_Ovname_OLoc(_u993)), hAPP(_u995, _u999)), _u1001, skolem22(_u1003, _u1001, _u999, _u997, _u995, _u993)) )).
% 39.89/40.12 cnf(matrix-1288, plain, ( ( hAPP(hAPP(hAPP(c_Natural_Oupdate, _u1004), c_Com_Ovname_OLoc(_u994)), c_Natural_Ogetlocs(_u1000, _u994)) != hAPP(hAPP(hAPP(c_Natural_Oupdate, _u986), c_Com_Ovname_OLoc(_u994)), c_Natural_Ogetlocs(_u1000, _u994))) | ~c_Natural_Oevaln(_u998, hAPP(hAPP(hAPP(c_Natural_Oupdate, _u1000), c_Com_Ovname_OLoc(_u994)), hAPP(_u996, _u1000)), _u1002, _u986) | c_Natural_Oevaln(c_Com_Ocom_OLocal(_u994, _u996, _u998), _u1000, _u1002, hAPP(hAPP(hAPP(c_Natural_Oupdate, _u1004), c_Com_Ovname_OLoc(_u994)), c_Natural_Ogetlocs(_u1000, _u994))) )).
% 39.89/40.12 cnf(matrix-1289, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OLocal(_u1012, _u1014, _u1016)), _u1018), hAPP(hAPP(hAPP(c_Natural_Oupdate, _u1020), c_Com_Ovname_OLoc(_u1012)), c_Natural_Ogetlocs(_u1018, _u1012)))) | ( hAPP(hAPP(hAPP(c_Natural_Oupdate, _u1020), c_Com_Ovname_OLoc(_u1012)), c_Natural_Ogetlocs(_u1018, _u1012)) = hAPP(hAPP(hAPP(c_Natural_Oupdate, skolem23(_u1020, _u1018, _u1016, _u1014, _u1012)), c_Com_Ovname_OLoc(_u1012)), c_Natural_Ogetlocs(_u1018, _u1012))) )).
% 39.89/40.12 cnf(matrix-1290, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OLocal(_u1012, _u1014, _u1016)), _u1018), hAPP(hAPP(hAPP(c_Natural_Oupdate, _u1020), c_Com_Ovname_OLoc(_u1012)), c_Natural_Ogetlocs(_u1018, _u1012)))) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1016), hAPP(hAPP(hAPP(c_Natural_Oupdate, _u1018), c_Com_Ovname_OLoc(_u1012)), hAPP(_u1014, _u1018))), skolem23(_u1020, _u1018, _u1016, _u1014, _u1012))) )).
% 39.89/40.12 cnf(matrix-1291, plain, ( ( hAPP(hAPP(hAPP(c_Natural_Oupdate, _u1021), c_Com_Ovname_OLoc(_u1013)), c_Natural_Ogetlocs(_u1019, _u1013)) != hAPP(hAPP(hAPP(c_Natural_Oupdate, _u1006), c_Com_Ovname_OLoc(_u1013)), c_Natural_Ogetlocs(_u1019, _u1013))) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1017), hAPP(hAPP(hAPP(c_Natural_Oupdate, _u1019), c_Com_Ovname_OLoc(_u1013)), hAPP(_u1015, _u1019))), _u1006)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OLocal(_u1013, _u1015, _u1017)), _u1019), hAPP(hAPP(hAPP(c_Natural_Oupdate, _u1021), c_Com_Ovname_OLoc(_u1013)), c_Natural_Ogetlocs(_u1019, _u1013)))) )).
% 39.89/40.12 cnf(matrix-1292, plain, ( ( hAPP(c_Fun_Ocomp(_u1022, _u1023, _u1024, _u1025), hAPP(c_Fun_Ocomp(_u1026, _u1022, _u1024, _u1027), _u1028)) = hAPP(c_Fun_Ocomp(_u1026, _u1023, _u1024, hAPP(c_Fun_Ocomp(_u1022, _u1023, _u1026, _u1025), _u1027)), _u1028)) )).
% 39.89/40.12 cnf(matrix-1293, plain, ( ( hAPP(hAPP(c_Fun_Ocomp(_u1029, _u1030, _u1031, _u1032), _u1033), _u1034) = hAPP(_u1032, hAPP(_u1033, _u1034))) )).
% 39.89/40.12 cnf(matrix-1294, plain, ( ( hAPP(_u1038, hAPP(_u1039, _u1041)) = hAPP(_u1040, _u1041)) | ( hAPP(c_Fun_Ocomp(_u1035, _u1036, _u1037, _u1038), _u1039) != _u1040) )).
% 39.89/40.12 cnf(matrix-1295, plain, ( ( hAPP(_u1045, hAPP(_u1046, _u1050)) = hAPP(_u1048, hAPP(_u1049, _u1050))) | ( hAPP(c_Fun_Ocomp(_u1042, _u1043, _u1044, _u1045), _u1046) != hAPP(c_Fun_Ocomp(_u1047, _u1043, _u1044, _u1048), _u1049)) )).
% 39.89/40.12 cnf(matrix-1296, plain, ( ( c_Hoare__Mirabelle_OMGT(_u1051) = c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate, c_fequal, _u1051, c_Natural_Oevalc(_u1051))) )).
% 39.89/40.12 cnf(matrix-1297, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OLocal(_u1053, _u1054, _u1055)), _u1056), _u1057)) | ( _u1057 = hAPP(hAPP(hAPP(c_Natural_Oupdate, skolem24(_u1057, _u1056, _u1055, _u1054, _u1053)), c_Com_Ovname_OLoc(_u1053)), c_Natural_Ogetlocs(_u1056, _u1053))) )).
% 39.89/40.12 cnf(matrix-1298, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OLocal(_u1053, _u1054, _u1055)), _u1056), _u1057)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1055), hAPP(hAPP(hAPP(c_Natural_Oupdate, _u1056), c_Com_Ovname_OLoc(_u1053)), hAPP(_u1054, _u1056))), skolem24(_u1057, _u1056, _u1055, _u1054, _u1053))) )).
% 39.89/40.12 cnf(matrix-1299, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OLocal(_u1059, _u1060, _u1061), _u1062, _u1063, _u1064) | ( _u1064 = hAPP(hAPP(hAPP(c_Natural_Oupdate, skolem25(_u1064, _u1063, _u1062, _u1061, _u1060, _u1059)), c_Com_Ovname_OLoc(_u1059)), c_Natural_Ogetlocs(_u1062, _u1059))) )).
% 39.89/40.12 cnf(matrix-1300, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OLocal(_u1059, _u1060, _u1061), _u1062, _u1063, _u1064) | c_Natural_Oevaln(_u1061, hAPP(hAPP(hAPP(c_Natural_Oupdate, _u1062), c_Com_Ovname_OLoc(_u1059)), hAPP(_u1060, _u1062)), _u1063, skolem25(_u1064, _u1063, _u1062, _u1061, _u1060, _u1059)) )).
% 39.89/40.12 cnf(matrix-1301, plain, ( ( c_Com_Ovname_Ovname__case(_u1065, _u1066, _u1067, c_Com_Ovname_OGlb(_u1068)) = hAPP(_u1066, _u1068)) )).
% 39.89/40.12 cnf(matrix-1302, plain, ( ( c_Com_Ovname_Ovname__rec(_u1069, _u1070, _u1071, c_Com_Ovname_OGlb(_u1072)) = hAPP(_u1070, _u1072)) )).
% 39.89/40.12 cnf(matrix-1303, plain, ( ~hBOOL(hAPP(hAPP(_u1088, _u1075), _u1074)) | ~c_Natural_Oevaln(_u1090, _u1074, _u1086, _u1073) | hBOOL(hAPP(hAPP(_u1092, _u1075), _u1073)) | ~c_Hoare__Mirabelle_Otriple__valid(_u1084, _u1086, c_Hoare__Mirabelle_Otriple_Otriple(_u1084, _u1088, _u1090, _u1092)) )).
% 39.89/40.12 cnf(matrix-1304, plain, ( c_Hoare__Mirabelle_Otriple__valid(_u1085, _u1087, c_Hoare__Mirabelle_Otriple_Otriple(_u1085, _u1089, _u1091, _u1093)) | hBOOL(hAPP(hAPP(_u1089, skolem26(_u1093, _u1091, _u1089, _u1087)), skolem27(_u1093, _u1091, _u1089, _u1087))) )).
% 39.89/40.12 cnf(matrix-1305, plain, ( c_Hoare__Mirabelle_Otriple__valid(_u1085, _u1087, c_Hoare__Mirabelle_Otriple_Otriple(_u1085, _u1089, _u1091, _u1093)) | c_Natural_Oevaln(_u1091, skolem27(_u1093, _u1091, _u1089, _u1087), _u1087, skolem28(_u1093, _u1091, _u1089, _u1087)) )).
% 39.89/40.12 cnf(matrix-1306, plain, ( c_Hoare__Mirabelle_Otriple__valid(_u1085, _u1087, c_Hoare__Mirabelle_Otriple_Otriple(_u1085, _u1089, _u1091, _u1093)) | ~hBOOL(hAPP(hAPP(_u1093, skolem26(_u1093, _u1091, _u1089, _u1087)), skolem28(_u1093, _u1091, _u1089, _u1087))) )).
% 39.89/40.12 cnf(matrix-1307, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(_u1095, _u1096)), _u1097), _u1098)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1095), _u1097), skolem29(_u1098, _u1097, _u1096, _u1095))) )).
% 39.89/40.12 cnf(matrix-1308, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(_u1095, _u1096)), _u1097), _u1098)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1096), skolem29(_u1098, _u1097, _u1096, _u1095)), _u1098)) )).
% 39.89/40.12 cnf(matrix-1309, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OSemi(_u1100, _u1101), _u1102, _u1103, _u1104) | c_Natural_Oevaln(_u1100, _u1102, _u1103, skolem30(_u1104, _u1103, _u1102, _u1101, _u1100)) )).
% 39.89/40.12 cnf(matrix-1310, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OSemi(_u1100, _u1101), _u1102, _u1103, _u1104) | c_Natural_Oevaln(_u1101, skolem30(_u1104, _u1103, _u1102, _u1101, _u1100), _u1103, _u1104) )).
% 39.89/40.12 cnf(matrix-1311, plain, ( ( hAPP(_u1105, hAPP(_u1106, _u1107)) != hAPP(_u1108, hAPP(_u1109, _u1110))) | ( hAPP(hAPP(c_Fun_Ocomp(_u1111, _u1112, _u1113, _u1105), _u1106), _u1107) = hAPP(hAPP(c_Fun_Ocomp(_u1114, _u1112, _u1115, _u1108), _u1109), _u1110)) )).
% 39.89/40.12 cnf(matrix-1312, plain, ( ( c_Fun_Ooverride__on(_u1116, _u1117, _u1118, _u1119, c_Orderings_Obot__class_Obot(tc_fun(_u1116, tc_HOL_Obool))) = _u1118) )).
% 39.89/40.12 cnf(matrix-1313, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1121, _u1122)), _u1123), _u1124)) | ( _u1124 = _u1123) | hBOOL(hAPP(_u1121, _u1123)) )).
% 39.89/40.12 cnf(matrix-1314, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1121, _u1122)), _u1123), _u1124)) | ( _u1124 = _u1123) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1122), _u1123), skolem31(_u1124, _u1123, _u1122, _u1121))) )).
% 39.89/40.12 cnf(matrix-1315, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1121, _u1122)), _u1123), _u1124)) | ( _u1124 = _u1123) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1121, _u1122)), skolem31(_u1124, _u1123, _u1122, _u1121)), _u1124)) )).
% 39.89/40.12 cnf(matrix-1316, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1121, _u1122)), _u1123), _u1124)) | ~hBOOL(hAPP(_u1121, _u1123)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1122), _u1123), skolem31(_u1124, _u1123, _u1122, _u1121))) )).
% 39.89/40.12 cnf(matrix-1317, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1121, _u1122)), _u1123), _u1124)) | ~hBOOL(hAPP(_u1121, _u1123)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1121, _u1122)), skolem31(_u1124, _u1123, _u1122, _u1121)), _u1124)) )).
% 39.89/40.12 cnf(matrix-1318, plain, ( ( c_Com_Ovname_OGlb(_u1127) != c_Com_Ovname_OGlb(_u1129)) | ( _u1127 = _u1129) )).
% 39.89/40.12 cnf(matrix-1319, plain, ( ( _u1128 != _u1130) | ( c_Com_Ovname_OGlb(_u1128) = c_Com_Ovname_OGlb(_u1130)) )).
% 39.89/40.12 cnf(matrix-1320, plain, ( ( c_Com_Ovname_OGlb(_u1131) != c_Com_Ovname_OLoc(_u1132)) )).
% 39.89/40.12 cnf(matrix-1321, plain, ( ( c_Com_Ovname_OLoc(_u1133) != c_Com_Ovname_OGlb(_u1134)) )).
% 39.89/40.12 cnf(matrix-1322, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1135), _u1135)) )).
% 39.89/40.12 cnf(matrix-1323, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1136), _u1137)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1137), _u1136)) )).
% 39.89/40.12 cnf(matrix-1324, plain, ( ( _u1138 != _u1139) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1138), _u1139)) )).
% 39.89/40.12 cnf(matrix-1325, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1140), _u1141)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1141), _u1142)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1140), _u1142)) )).
% 39.89/40.12 cnf(matrix-1326, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1143), _u1144)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1144), _u1143)) | ( _u1143 = _u1144) )).
% 39.89/40.12 cnf(matrix-1327, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1146, _u1147), _u1148, _u1149, _u1150) | ( _u1150 = _u1148) | hBOOL(hAPP(_u1146, _u1148)) )).
% 39.89/40.12 cnf(matrix-1328, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1146, _u1147), _u1148, _u1149, _u1150) | ( _u1150 = _u1148) | c_Natural_Oevaln(_u1147, _u1148, _u1149, skolem32(_u1150, _u1149, _u1148, _u1147, _u1146)) )).
% 39.89/40.12 cnf(matrix-1329, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1146, _u1147), _u1148, _u1149, _u1150) | ( _u1150 = _u1148) | c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1146, _u1147), skolem32(_u1150, _u1149, _u1148, _u1147, _u1146), _u1149, _u1150) )).
% 39.89/40.12 cnf(matrix-1330, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1146, _u1147), _u1148, _u1149, _u1150) | ~hBOOL(hAPP(_u1146, _u1148)) | c_Natural_Oevaln(_u1147, _u1148, _u1149, skolem32(_u1150, _u1149, _u1148, _u1147, _u1146)) )).
% 39.89/40.12 cnf(matrix-1331, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1146, _u1147), _u1148, _u1149, _u1150) | ~hBOOL(hAPP(_u1146, _u1148)) | c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1146, _u1147), skolem32(_u1150, _u1149, _u1148, _u1147, _u1146), _u1149, _u1150) )).
% 39.89/40.12 cnf(matrix-1332, plain, ( ~class_Orderings_Oorder(_u1152) | ~hBOOL(hAPP(_u1153, _u1154)) | ( c_Orderings_Oord__class_OLeast(_u1152, _u1153) = _u1154) | hBOOL(hAPP(_u1153, skolem33(_u1154, _u1153, _u1152))) )).
% 39.89/40.12 cnf(matrix-1333, plain, ( ~class_Orderings_Oorder(_u1152) | ~hBOOL(hAPP(_u1153, _u1154)) | ( c_Orderings_Oord__class_OLeast(_u1152, _u1153) = _u1154) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1152), _u1154), skolem33(_u1154, _u1153, _u1152))) )).
% 39.89/40.12 cnf(matrix-1334, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1156), _u1157), _u1158)) | c_Natural_Oevaln(_u1156, _u1157, skolem34(_u1158, _u1157, _u1156), _u1158) )).
% 39.89/40.12 cnf(matrix-1335, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1159, tc_HOL_Obool)), _u1160), _u1161)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u1159, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u1159), _u1160)), hAPP(c_Set_OPow(_u1159), _u1161))) )).
% 39.89/40.12 cnf(matrix-1336, plain, ( ~hBOOL(hAPP(_u1163, _u1164)) | ( c_HOL_OThe(_u1165, _u1163) = _u1164) | hBOOL(hAPP(_u1163, skolem35(_u1165, _u1164, _u1163))) )).
% 39.89/40.12 cnf(matrix-1337, plain, ( ~hBOOL(hAPP(_u1163, _u1164)) | ( c_HOL_OThe(_u1165, _u1163) = _u1164) | ( skolem35(_u1165, _u1164, _u1163) != _u1164) )).
% 39.89/40.12 cnf(matrix-1338, plain, ( ( hAPP(c_Set_OCollect(_u1166), hAPP(c_fequal, _u1167)) = hAPP(hAPP(c_Set_Oinsert(_u1166), _u1167), c_Orderings_Obot__class_Obot(tc_fun(_u1166, tc_HOL_Obool)))) )).
% 39.89/40.12 cnf(matrix-1339, plain, ( ( hAPP(c_Set_OCollect(_u1168), _u1169) = _u1169) )).
% 39.89/40.12 cnf(matrix-1340, plain, ( ( hAPP(c_Set_OPow(_u1170), _u1171) != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u1170, tc_HOL_Obool), tc_HOL_Obool))) )).
% 39.89/40.12 cnf(matrix-1341, plain, ( ( hAPP(c_Set_OPow(_u1172), _u1173) = hAPP(c_Set_OCollect(tc_fun(_u1172, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_fun(_u1172, tc_HOL_Obool), tc_fun(_u1172, tc_HOL_Obool), tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(tc_fun(_u1172, tc_HOL_Obool))), _u1173))) )).
% 39.89/40.12 cnf(matrix-1342, plain, ( ~hBOOL(hAPP(_u1180, _u1174)) | ( hAPP(c_Set_OCollect(_u1178), _u1180) != c_Orderings_Obot__class_Obot(tc_fun(_u1178, tc_HOL_Obool))) )).
% 39.89/40.12 cnf(matrix-1343, plain, ( hBOOL(hAPP(_u1181, skolem36(_u1181))) | ( hAPP(c_Set_OCollect(_u1179), _u1181) = c_Orderings_Obot__class_Obot(tc_fun(_u1179, tc_HOL_Obool))) )).
% 39.89/40.12 cnf(matrix-1344, plain, ( ~hBOOL(hAPP(_u1188, _u1182)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u1186, tc_HOL_Obool)) != hAPP(c_Set_OCollect(_u1186), _u1188)) )).
% 39.89/40.12 cnf(matrix-1345, plain, ( hBOOL(hAPP(_u1189, skolem37(_u1189))) | ( c_Orderings_Obot__class_Obot(tc_fun(_u1187, tc_HOL_Obool)) = hAPP(c_Set_OCollect(_u1187), _u1189)) )).
% 39.89/40.12 cnf(matrix-1346, plain, ( ( hAPP(c_Set_OPow(_u1190), c_Orderings_Obot__class_Obot(tc_fun(_u1190, tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_fun(_u1190, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u1190, tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u1190, tc_HOL_Obool), tc_HOL_Obool)))) )).
% 39.89/40.12 cnf(matrix-1347, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u1191, tc_HOL_Obool)) = hAPP(c_Set_OCollect(_u1191), hAPP(c_COMBK(tc_HOL_Obool, _u1191), c_fFalse))) )).
% 39.89/40.12 cnf(matrix-1348, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u1192), _u1193), hAPP(c_Set_OCollect(_u1192), _u1194)) = hAPP(c_Set_OCollect(_u1192), hAPP(hAPP(c_COMBS(_u1192, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u1192), c_fimplies), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u1192), c_fNot), hAPP(hAPP(c_COMBC(_u1192, _u1192, tc_HOL_Obool), c_fequal), _u1193)))), _u1194))) )).
% 39.89/40.12 cnf(matrix-1349, plain, ( ~hBOOL(hAPP(_u1198, _u1200)) | ( hAPP(c_Set_OCollect(_u1202), hAPP(hAPP(c_COMBS(_u1202, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u1202), c_fconj), hAPP(hAPP(c_COMBC(_u1202, _u1202, tc_HOL_Obool), c_fequal), _u1200))), _u1198)) = hAPP(hAPP(c_Set_Oinsert(_u1202), _u1200), c_Orderings_Obot__class_Obot(tc_fun(_u1202, tc_HOL_Obool)))) )).
% 39.89/40.12 cnf(matrix-1350, plain, ( hBOOL(hAPP(_u1199, _u1201)) | ( hAPP(c_Set_OCollect(_u1203), hAPP(hAPP(c_COMBS(_u1203, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u1203), c_fconj), hAPP(hAPP(c_COMBC(_u1203, _u1203, tc_HOL_Obool), c_fequal), _u1201))), _u1199)) = c_Orderings_Obot__class_Obot(tc_fun(_u1203, tc_HOL_Obool))) )).
% 39.89/40.12 cnf(matrix-1351, plain, ( ~hBOOL(hAPP(_u1207, _u1209)) | ( hAPP(c_Set_OCollect(_u1211), hAPP(hAPP(c_COMBS(_u1211, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u1211), c_fconj), hAPP(c_fequal, _u1209))), _u1207)) = hAPP(hAPP(c_Set_Oinsert(_u1211), _u1209), c_Orderings_Obot__class_Obot(tc_fun(_u1211, tc_HOL_Obool)))) )).
% 39.89/40.12 cnf(matrix-1352, plain, ( hBOOL(hAPP(_u1208, _u1210)) | ( hAPP(c_Set_OCollect(_u1212), hAPP(hAPP(c_COMBS(_u1212, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u1212), c_fconj), hAPP(c_fequal, _u1210))), _u1208)) = c_Orderings_Obot__class_Obot(tc_fun(_u1212, tc_HOL_Obool))) )).
% 39.89/40.12 cnf(matrix-1353, plain, ( ( hAPP(c_Set_OCollect(_u1213), hAPP(hAPP(c_COMBC(_u1213, _u1213, tc_HOL_Obool), c_fequal), _u1214)) = hAPP(hAPP(c_Set_Oinsert(_u1213), _u1214), c_Orderings_Obot__class_Obot(tc_fun(_u1213, tc_HOL_Obool)))) )).
% 39.89/40.12 cnf(matrix-1354, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1215, tc_HOL_Obool)), _u1216), _u1217)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u1215, tc_HOL_Obool)), _u1216), hAPP(c_Set_OPow(_u1215), _u1217))) )).
% 39.89/40.12 cnf(matrix-1355, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1221, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u1221), _u1219)), hAPP(c_Set_OCollect(_u1221), _u1220))) | hBOOL(hAPP(_u1219, skolem38(_u1221, _u1220, _u1219))) )).
% 39.89/40.12 cnf(matrix-1356, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1221, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u1221), _u1219)), hAPP(c_Set_OCollect(_u1221), _u1220))) | ~hBOOL(hAPP(_u1220, skolem38(_u1221, _u1220, _u1219))) )).
% 39.89/40.12 cnf(matrix-1357, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u1222), _u1223), _u1224) = hAPP(c_Set_OCollect(_u1222), hAPP(hAPP(c_COMBS(_u1222, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u1222), c_fdisj), hAPP(hAPP(c_COMBC(_u1222, _u1222, tc_HOL_Obool), c_fequal), _u1223))), hAPP(hAPP(c_COMBC(_u1222, tc_fun(_u1222, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1222)), _u1224)))) )).
% 39.89/40.12 cnf(matrix-1358, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u1225), _u1226), _u1227) = hAPP(c_Set_OCollect(_u1225), hAPP(hAPP(c_COMBS(_u1225, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u1225), c_fdisj), hAPP(hAPP(c_COMBC(_u1225, _u1225, tc_HOL_Obool), c_fequal), _u1226))), hAPP(hAPP(c_COMBC(_u1225, tc_fun(_u1225, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1225)), _u1227)))) )).
% 39.89/40.12 cnf(matrix-1359, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u1228), _u1229), _u1230) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1228, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u1228), hAPP(hAPP(c_COMBC(_u1228, _u1228, tc_HOL_Obool), c_fequal), _u1229))), _u1230)) )).
% 39.89/40.12 cnf(matrix-1360, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u1234, tc_HOL_Obool)), _u1236), hAPP(c_Set_OPow(_u1234), _u1238))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1234, tc_HOL_Obool)), _u1236), _u1238)) )).
% 39.89/40.12 cnf(matrix-1361, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1235, tc_HOL_Obool)), _u1237), _u1239)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u1235, tc_HOL_Obool)), _u1237), hAPP(c_Set_OPow(_u1235), _u1239))) )).
% 39.89/40.12 cnf(matrix-1362, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u1240, tc_HOL_Obool)), _u1241), hAPP(c_Set_OPow(_u1240), _u1242))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1240, tc_HOL_Obool)), _u1241), _u1242)) )).
% 39.89/40.12 cnf(matrix-1363, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u1243, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u1243, tc_HOL_Obool))), hAPP(c_Set_OPow(_u1243), _u1244))) )).
% 39.89/40.12 cnf(matrix-1364, plain, ( ( _u1249 != c_Orderings_Obot__class_Obot(tc_fun(_u1251, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u1251, _u1253, hAPP(c_COMBK(_u1253, _u1251), _u1255)), _u1249) = c_Orderings_Obot__class_Obot(tc_fun(_u1253, tc_HOL_Obool))) )).
% 39.89/40.12 cnf(matrix-1365, plain, ( ( _u1250 = c_Orderings_Obot__class_Obot(tc_fun(_u1252, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u1252, _u1254, hAPP(c_COMBK(_u1254, _u1252), _u1256)), _u1250) = hAPP(hAPP(c_Set_Oinsert(_u1254), _u1256), c_Orderings_Obot__class_Obot(tc_fun(_u1254, tc_HOL_Obool)))) )).
% 39.89/40.12 cnf(matrix-1366, plain, ( ~class_Orderings_Oorder(_u1257) | ~class_Orderings_Oorder(_u1258) | ~c_Orderings_Oorder__class_Ostrict__mono(_u1258, _u1257, _u1259) | c_Orderings_Oorder__class_Omono(_u1258, _u1257, _u1259) )).
% 39.89/40.12 cnf(matrix-1367, plain, ( hBOOL(hAPP(hAPP(c_member(_u1260), _u1261), _u1262)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1260, tc_HOL_Obool)), _u1262), hAPP(hAPP(c_Set_Oinsert(_u1260), _u1261), _u1263))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1260, tc_HOL_Obool)), _u1262), _u1263)) )).
% 39.89/40.12 cnf(matrix-1368, plain, ( hBOOL(hAPP(hAPP(c_member(_u1260), _u1261), _u1262)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1260, tc_HOL_Obool)), _u1262), _u1263)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1260, tc_HOL_Obool)), _u1262), hAPP(hAPP(c_Set_Oinsert(_u1260), _u1261), _u1263))) )).
% 39.89/40.12 cnf(matrix-1369, plain, ( ( _u1264 != _u1265) | hBOOL(hAPP(hAPP(c_member(_u1266), _u1267), _u1264)) | ~hBOOL(hAPP(hAPP(c_member(_u1266), _u1267), _u1265)) )).
% 39.89/40.12 cnf(matrix-1370, plain, ( ( _u1264 != _u1265) | hBOOL(hAPP(hAPP(c_member(_u1266), _u1267), _u1265)) | ~hBOOL(hAPP(hAPP(c_member(_u1266), _u1267), _u1264)) )).
% 39.89/40.12 cnf(matrix-1371, plain, ( hBOOL(hAPP(_u1269, _u1271)) | hBOOL(hAPP(_u1270, _u1271)) | ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1268, tc_HOL_Obool)), _u1269), _u1270), _u1271)) )).
% 39.89/40.12 cnf(matrix-1372, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1275, tc_HOL_Obool)), _u1274), _u1272), _u1273)) | ~hBOOL(hAPP(_u1272, _u1273)) )).
% 39.89/40.12 cnf(matrix-1373, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1275, tc_HOL_Obool)), _u1274), _u1272), _u1273)) | ~hBOOL(hAPP(_u1274, _u1273)) )).
% 39.89/40.12 cnf(matrix-1374, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1276), _u1277), c_Orderings_Obot__class_Obot(tc_fun(_u1276, tc_HOL_Obool)))) )).
% 39.89/40.12 cnf(matrix-1375, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1278), _u1279), hAPP(hAPP(c_Set_Oinsert(_u1278), _u1280), _u1281))) | ( _u1279 = _u1280) | hBOOL(hAPP(hAPP(c_member(_u1278), _u1279), _u1281)) )).
% 39.89/40.12 cnf(matrix-1376, plain, ( hBOOL(hAPP(hAPP(c_member(_u1282), _u1283), hAPP(hAPP(c_Set_Oinsert(_u1282), _u1285), _u1284))) | ~hBOOL(hAPP(hAPP(c_member(_u1282), _u1283), _u1284)) )).
% 39.89/40.12 cnf(matrix-1377, plain, ( hBOOL(hAPP(hAPP(c_member(_u1282), _u1283), hAPP(hAPP(c_Set_Oinsert(_u1282), _u1285), _u1284))) | ( _u1283 != _u1285) )).
% 39.89/40.12 cnf(matrix-1378, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1286, tc_HOL_Obool)), _u1287), _u1288)) | ~hBOOL(hAPP(hAPP(c_member(_u1286), _u1289), _u1287)) | hBOOL(hAPP(hAPP(c_member(_u1286), _u1289), _u1288)) )).
% 39.89/40.12 cnf(matrix-1379, plain, ( ( _u1290 != hAPP(_u1291, _u1292)) | ~hBOOL(hAPP(hAPP(c_member(_u1293), _u1292), _u1294)) | hBOOL(hAPP(hAPP(c_member(_u1295), _u1290), hAPP(c_Set_Oimage(_u1293, _u1295, _u1291), _u1294))) )).
% 39.89/40.12 cnf(matrix-1380, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1296), _u1297), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1296, tc_HOL_Obool)), _u1298), _u1299))) | hBOOL(hAPP(hAPP(c_member(_u1296), _u1297), _u1298)) | hBOOL(hAPP(hAPP(c_member(_u1296), _u1297), _u1299)) )).
% 39.89/40.12 cnf(matrix-1381, plain, ( hBOOL(hAPP(hAPP(c_member(_u1300), _u1301), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1300, tc_HOL_Obool)), _u1303), _u1302))) | ~hBOOL(hAPP(hAPP(c_member(_u1300), _u1301), _u1302)) )).
% 39.89/40.12 cnf(matrix-1382, plain, ( hBOOL(hAPP(hAPP(c_member(_u1300), _u1301), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1300, tc_HOL_Obool)), _u1303), _u1302))) | ~hBOOL(hAPP(hAPP(c_member(_u1300), _u1301), _u1303)) )).
% 39.89/40.12 cnf(matrix-1383, plain, ( ~hBOOL(hAPP(_u1304, _u1305)) | hBOOL(hAPP(hAPP(c_member(_u1306), _u1305), hAPP(c_Set_OCollect(_u1306), _u1304))) )).
% 39.89/40.12 cnf(matrix-1384, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1307, tc_HOL_Obool)), _u1308), _u1308) = _u1308) )).
% 39.89/40.12 cnf(matrix-1385, plain, ( hBOOL(hAPP(_u1316, _u1314)) | ~hBOOL(hAPP(hAPP(c_member(_u1312), _u1314), _u1316)) )).
% 39.89/40.12 cnf(matrix-1386, plain, ( ~hBOOL(hAPP(_u1317, _u1315)) | hBOOL(hAPP(hAPP(c_member(_u1313), _u1315), _u1317)) )).
% 39.89/40.12 cnf(matrix-1387, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1318, tc_HOL_Obool)), _u1319), _u1320) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1318, tc_HOL_Obool)), _u1320), _u1319)) )).
% 39.89/40.12 cnf(matrix-1388, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1321, tc_HOL_Obool)), _u1322), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1321, tc_HOL_Obool)), _u1322), _u1323)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1321, tc_HOL_Obool)), _u1322), _u1323)) )).
% 39.89/40.12 cnf(matrix-1389, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1331), _u1333), hAPP(c_Set_Oimage(_u1335, _u1331, _u1337), _u1339))) | hBOOL(hAPP(hAPP(c_member(_u1335), skolem39(_u1339, _u1337, _u1335, _u1333)), _u1339)) )).
% 39.89/40.12 cnf(matrix-1390, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1331), _u1333), hAPP(c_Set_Oimage(_u1335, _u1331, _u1337), _u1339))) | ( _u1333 = hAPP(_u1337, skolem39(_u1339, _u1337, _u1335, _u1333))) )).
% 39.89/40.12 cnf(matrix-1391, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1336), _u1325), _u1340)) | ( _u1334 != hAPP(_u1338, _u1325)) | hBOOL(hAPP(hAPP(c_member(_u1332), _u1334), hAPP(c_Set_Oimage(_u1336, _u1332, _u1338), _u1340))) )).
% 39.89/40.12 cnf(matrix-1392, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1341, tc_HOL_Obool)), _u1342), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1341, tc_HOL_Obool)), _u1343), _u1344)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1341, tc_HOL_Obool)), _u1343), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1341, tc_HOL_Obool)), _u1342), _u1344))) )).
% 39.89/40.12 cnf(matrix-1393, plain, ( ( hAPP(c_Set_Oimage(_u1345, _u1346, _u1347), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1345, tc_HOL_Obool)), _u1348), _u1349)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1346, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u1345, _u1346, _u1347), _u1348)), hAPP(c_Set_Oimage(_u1345, _u1346, _u1347), _u1349))) )).
% 39.89/40.12 cnf(matrix-1394, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1354), _u1356), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1354, tc_HOL_Obool)), _u1358), _u1360))) | hBOOL(hAPP(hAPP(c_member(_u1354), _u1356), _u1358)) | hBOOL(hAPP(hAPP(c_member(_u1354), _u1356), _u1360)) )).
% 39.89/40.12 cnf(matrix-1395, plain, ( hBOOL(hAPP(hAPP(c_member(_u1355), _u1357), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1355, tc_HOL_Obool)), _u1359), _u1361))) | ~hBOOL(hAPP(hAPP(c_member(_u1355), _u1357), _u1359)) )).
% 39.89/40.12 cnf(matrix-1396, plain, ( hBOOL(hAPP(hAPP(c_member(_u1355), _u1357), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1355, tc_HOL_Obool)), _u1359), _u1361))) | ~hBOOL(hAPP(hAPP(c_member(_u1355), _u1357), _u1361)) )).
% 39.89/40.12 cnf(matrix-1397, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1362, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1362, tc_HOL_Obool)), _u1363), _u1364)), _u1365) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1362, tc_HOL_Obool)), _u1363), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1362, tc_HOL_Obool)), _u1364), _u1365))) )).
% 39.89/40.12 cnf(matrix-1398, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1376), _u1366), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1376, tc_HOL_Obool)), _u1378), _u1380))) | ~hBOOL(hAPP(_u1382, _u1366)) | hBOOL(hAPP(hAPP(c_member(_u1376), skolem40(_u1382, _u1380, _u1378, _u1376)), _u1378)) | hBOOL(hAPP(hAPP(c_member(_u1376), skolem41(_u1382, _u1380, _u1378, _u1376)), _u1380)) )).
% 39.89/40.12 cnf(matrix-1399, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1376), _u1366), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1376, tc_HOL_Obool)), _u1378), _u1380))) | ~hBOOL(hAPP(_u1382, _u1366)) | hBOOL(hAPP(hAPP(c_member(_u1376), skolem40(_u1382, _u1380, _u1378, _u1376)), _u1378)) | hBOOL(hAPP(_u1382, skolem41(_u1382, _u1380, _u1378, _u1376))) )).
% 39.89/40.12 cnf(matrix-1400, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1376), _u1366), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1376, tc_HOL_Obool)), _u1378), _u1380))) | ~hBOOL(hAPP(_u1382, _u1366)) | hBOOL(hAPP(_u1382, skolem40(_u1382, _u1380, _u1378, _u1376))) | hBOOL(hAPP(hAPP(c_member(_u1376), skolem41(_u1382, _u1380, _u1378, _u1376)), _u1380)) )).
% 39.89/40.12 cnf(matrix-1401, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1376), _u1366), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1376, tc_HOL_Obool)), _u1378), _u1380))) | ~hBOOL(hAPP(_u1382, _u1366)) | hBOOL(hAPP(_u1382, skolem40(_u1382, _u1380, _u1378, _u1376))) | hBOOL(hAPP(_u1382, skolem41(_u1382, _u1380, _u1378, _u1376))) )).
% 39.89/40.12 cnf(matrix-1402, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1377), _u1369), _u1379)) | ~hBOOL(hAPP(_u1383, _u1369)) | hBOOL(hAPP(hAPP(c_member(_u1377), skolem42(_u1383, _u1381, _u1379, _u1377)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1377, tc_HOL_Obool)), _u1379), _u1381))) )).
% 39.89/40.12 cnf(matrix-1403, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1377), _u1369), _u1379)) | ~hBOOL(hAPP(_u1383, _u1369)) | hBOOL(hAPP(_u1383, skolem42(_u1383, _u1381, _u1379, _u1377))) )).
% 39.89/40.12 cnf(matrix-1404, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1377), _u1370), _u1381)) | ~hBOOL(hAPP(_u1383, _u1370)) | hBOOL(hAPP(hAPP(c_member(_u1377), skolem42(_u1383, _u1381, _u1379, _u1377)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1377, tc_HOL_Obool)), _u1379), _u1381))) )).
% 39.89/40.12 cnf(matrix-1405, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1377), _u1370), _u1381)) | ~hBOOL(hAPP(_u1383, _u1370)) | hBOOL(hAPP(_u1383, skolem42(_u1383, _u1381, _u1379, _u1377))) )).
% 39.89/40.12 cnf(matrix-1406, plain, ( hBOOL(hAPP(hAPP(c_member(_u1394), skolem43(_u1400, _u1398, _u1396, _u1394)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1394, tc_HOL_Obool)), _u1396), _u1398))) | ~hBOOL(hAPP(hAPP(c_member(_u1394), _u1385), _u1396)) | hBOOL(hAPP(_u1400, _u1385)) )).
% 39.89/40.12 cnf(matrix-1407, plain, ( hBOOL(hAPP(hAPP(c_member(_u1394), skolem43(_u1400, _u1398, _u1396, _u1394)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1394, tc_HOL_Obool)), _u1396), _u1398))) | ~hBOOL(hAPP(hAPP(c_member(_u1394), _u1386), _u1398)) | hBOOL(hAPP(_u1400, _u1386)) )).
% 39.89/40.12 cnf(matrix-1408, plain, ( ~hBOOL(hAPP(_u1400, skolem43(_u1400, _u1398, _u1396, _u1394))) | ~hBOOL(hAPP(hAPP(c_member(_u1394), _u1385), _u1396)) | hBOOL(hAPP(_u1400, _u1385)) )).
% 39.89/40.12 cnf(matrix-1409, plain, ( ~hBOOL(hAPP(_u1400, skolem43(_u1400, _u1398, _u1396, _u1394))) | ~hBOOL(hAPP(hAPP(c_member(_u1394), _u1386), _u1398)) | hBOOL(hAPP(_u1400, _u1386)) )).
% 39.89/40.12 cnf(matrix-1410, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1395), _u1389), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1395, tc_HOL_Obool)), _u1397), _u1399))) | hBOOL(hAPP(_u1401, _u1389)) | hBOOL(hAPP(hAPP(c_member(_u1395), skolem44(_u1401, _u1399, _u1397, _u1395)), _u1397)) | hBOOL(hAPP(hAPP(c_member(_u1395), skolem45(_u1401, _u1399, _u1397, _u1395)), _u1399)) )).
% 39.89/40.12 cnf(matrix-1411, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1395), _u1389), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1395, tc_HOL_Obool)), _u1397), _u1399))) | hBOOL(hAPP(_u1401, _u1389)) | hBOOL(hAPP(hAPP(c_member(_u1395), skolem44(_u1401, _u1399, _u1397, _u1395)), _u1397)) | ~hBOOL(hAPP(_u1401, skolem45(_u1401, _u1399, _u1397, _u1395))) )).
% 39.89/40.12 cnf(matrix-1412, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1395), _u1389), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1395, tc_HOL_Obool)), _u1397), _u1399))) | hBOOL(hAPP(_u1401, _u1389)) | ~hBOOL(hAPP(_u1401, skolem44(_u1401, _u1399, _u1397, _u1395))) | hBOOL(hAPP(hAPP(c_member(_u1395), skolem45(_u1401, _u1399, _u1397, _u1395)), _u1399)) )).
% 39.89/40.12 cnf(matrix-1413, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1395), _u1389), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1395, tc_HOL_Obool)), _u1397), _u1399))) | hBOOL(hAPP(_u1401, _u1389)) | ~hBOOL(hAPP(_u1401, skolem44(_u1401, _u1399, _u1397, _u1395))) | ~hBOOL(hAPP(_u1401, skolem45(_u1401, _u1399, _u1397, _u1395))) )).
% 39.89/40.12 cnf(matrix-1414, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1402), _u1403), _u1404)) | hBOOL(hAPP(hAPP(c_member(_u1402), _u1403), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1402, tc_HOL_Obool)), _u1404), _u1405))) )).
% 39.89/40.12 cnf(matrix-1415, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1406), _u1407), _u1408)) | hBOOL(hAPP(hAPP(c_member(_u1406), _u1407), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1406, tc_HOL_Obool)), _u1409), _u1408))) )).
% 39.89/40.12 cnf(matrix-1416, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1410), _u1411), _u1412)) | hBOOL(hAPP(hAPP(c_member(_u1413), hAPP(_u1414, _u1411)), hAPP(c_Set_Oimage(_u1410, _u1413, _u1414), _u1412))) )).
% 39.89/40.12 cnf(matrix-1417, plain, ( ( _u1415 != _u1416) | ~hBOOL(hAPP(hAPP(c_member(_u1417), _u1418), _u1415)) | hBOOL(hAPP(hAPP(c_member(_u1417), _u1418), _u1416)) )).
% 39.89/40.12 cnf(matrix-1418, plain, ( ( _u1415 != _u1416) | ~hBOOL(hAPP(hAPP(c_member(_u1417), _u1418), _u1416)) | hBOOL(hAPP(hAPP(c_member(_u1417), _u1418), _u1415)) )).
% 39.89/40.12 cnf(matrix-1419, plain, ( ( _u1419 != _u1420) | ~hBOOL(hAPP(hAPP(c_member(_u1421), _u1419), _u1422)) | hBOOL(hAPP(hAPP(c_member(_u1421), _u1420), _u1422)) )).
% 39.89/40.12 cnf(matrix-1420, plain, ( ( _u1419 != _u1420) | ~hBOOL(hAPP(hAPP(c_member(_u1421), _u1420), _u1422)) | hBOOL(hAPP(hAPP(c_member(_u1421), _u1419), _u1422)) )).
% 39.89/40.12 cnf(matrix-1421, plain, ( ( _u1423 != _u1424) | ~hBOOL(hAPP(hAPP(c_member(_u1425), _u1424), _u1426)) | hBOOL(hAPP(hAPP(c_member(_u1425), _u1423), _u1426)) )).
% 39.89/40.12 cnf(matrix-1422, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1427), _u1428), _u1429)) | ( _u1430 != hAPP(_u1431, _u1428)) | hBOOL(hAPP(hAPP(c_member(_u1432), _u1430), hAPP(c_Set_Oimage(_u1427, _u1432, _u1431), _u1429))) )).
% 39.89/40.12 cnf(matrix-1423, plain, ( ( _u1438 = _u1440) | ~hBOOL(hAPP(hAPP(c_member(_u1436), _u1438), hAPP(c_fequal, _u1440))) )).
% 39.89/40.12 cnf(matrix-1424, plain, ( ( _u1439 != _u1441) | hBOOL(hAPP(hAPP(c_member(_u1437), _u1439), hAPP(c_fequal, _u1441))) )).
% 39.89/40.12 cnf(matrix-1425, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1446, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u1446, tc_fun(_u1446, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1446)), _u1448)), hAPP(hAPP(c_COMBC(_u1446, tc_fun(_u1446, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1446)), _u1450)), _u1452)) | hBOOL(hAPP(hAPP(c_member(_u1446), _u1452), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1446, tc_HOL_Obool)), _u1448), _u1450))) )).
% 39.89/40.12 cnf(matrix-1426, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1447), _u1453), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1447, tc_HOL_Obool)), _u1449), _u1451))) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1447, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u1447, tc_fun(_u1447, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1447)), _u1449)), hAPP(hAPP(c_COMBC(_u1447, tc_fun(_u1447, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1447)), _u1451)), _u1453)) )).
% 39.89/40.12 cnf(matrix-1427, plain, ( ~hBOOL(hAPP(_u1454, _u1455)) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1456, tc_HOL_Obool)), _u1454), _u1457), _u1455)) )).
% 39.89/40.12 cnf(matrix-1428, plain, ( ~hBOOL(hAPP(_u1458, _u1459)) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1460, tc_HOL_Obool)), _u1461), _u1458), _u1459)) )).
% 39.89/40.12 cnf(matrix-1429, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1462), _u1463), _u1464)) | ( hAPP(hAPP(c_Set_Oinsert(_u1465), hAPP(_u1466, _u1463)), hAPP(c_Set_Oimage(_u1462, _u1465, _u1466), _u1464)) = hAPP(c_Set_Oimage(_u1462, _u1465, _u1466), _u1464)) )).
% 39.89/40.12 cnf(matrix-1430, plain, ( ( hAPP(c_Set_Oimage(_u1467, _u1468, _u1469), hAPP(c_Set_Oimage(_u1470, _u1467, _u1471), _u1472)) = hAPP(c_Set_Oimage(_u1470, _u1468, hAPP(hAPP(c_COMBB(_u1467, _u1468, _u1470), _u1469), _u1471)), _u1472)) )).
% 39.89/40.12 cnf(matrix-1431, plain, ( ( hAPP(c_Set_Oimage(_u1473, _u1473, c_COMBI(_u1473)), _u1474) = _u1474) )).
% 39.89/40.12 cnf(matrix-1432, plain, ( ( hAPP(c_Set_Oimage(_u1475, _u1476, _u1477), _u1478) != _u1479) | ( hAPP(c_Set_Oimage(tc_fun(_u1475, tc_HOL_Obool), tc_fun(_u1476, tc_HOL_Obool), c_Set_Oimage(_u1475, _u1476, _u1477)), hAPP(c_Set_OPow(_u1475), _u1478)) = hAPP(c_Set_OPow(_u1476), _u1479)) )).
% 39.89/40.12 cnf(matrix-1433, plain, ( ~c_Orderings_Oorder__class_Omono(tc_fun(_u1480, tc_HOL_Obool), tc_fun(_u1481, tc_HOL_Obool), _u1482) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1481, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1481, tc_HOL_Obool)), hAPP(_u1482, _u1483)), hAPP(_u1482, _u1484))), hAPP(_u1482, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1480, tc_HOL_Obool)), _u1483), _u1484)))) )).
% 39.89/40.12 cnf(matrix-1434, plain, ( ( _u1490 = _u1492) | ( hAPP(hAPP(c_COMBC(_u1488, tc_fun(_u1488, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1488)), _u1490) != hAPP(hAPP(c_COMBC(_u1488, tc_fun(_u1488, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1488)), _u1492)) )).
% 39.89/40.12 cnf(matrix-1435, plain, ( ( _u1491 != _u1493) | ( hAPP(hAPP(c_COMBC(_u1489, tc_fun(_u1489, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1489)), _u1491) = hAPP(hAPP(c_COMBC(_u1489, tc_fun(_u1489, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1489)), _u1493)) )).
% 39.89/40.12 cnf(matrix-1436, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1494, tc_HOL_Obool)), _u1495), _u1496) = hAPP(c_Set_OCollect(_u1494), hAPP(hAPP(c_COMBS(_u1494, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u1494), c_fdisj), hAPP(hAPP(c_COMBC(_u1494, tc_fun(_u1494, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1494)), _u1495))), hAPP(hAPP(c_COMBC(_u1494, tc_fun(_u1494, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1494)), _u1496)))) )).
% 39.89/40.12 cnf(matrix-1437, plain, ( ~class_Orderings_Oorder(_u1499) | ~class_Orderings_Oorder(_u1500) | ~c_Orderings_Oorder__class_Omono(_u1500, _u1499, _u1501) | ( c_Orderings_Oord__class_OLeast(_u1499, hAPP(hAPP(c_COMBC(_u1499, tc_fun(_u1499, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1499)), hAPP(c_Set_Oimage(_u1500, _u1499, _u1501), _u1502))) = hAPP(_u1501, c_Orderings_Oord__class_OLeast(_u1500, hAPP(hAPP(c_COMBC(_u1500, tc_fun(_u1500, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1500)), _u1502)))) | ~hBOOL(hAPP(hAPP(c_member(_u1500), _u1498), _u1502)) | hBOOL(hAPP(hAPP(c_member(_u1500), skolem46(_u1502, _u1501, _u1500, _u1499, _u1498)), _u1502)) )).
% 39.89/40.12 cnf(matrix-1438, plain, ( ~class_Orderings_Oorder(_u1499) | ~class_Orderings_Oorder(_u1500) | ~c_Orderings_Oorder__class_Omono(_u1500, _u1499, _u1501) | ( c_Orderings_Oord__class_OLeast(_u1499, hAPP(hAPP(c_COMBC(_u1499, tc_fun(_u1499, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1499)), hAPP(c_Set_Oimage(_u1500, _u1499, _u1501), _u1502))) = hAPP(_u1501, c_Orderings_Oord__class_OLeast(_u1500, hAPP(hAPP(c_COMBC(_u1500, tc_fun(_u1500, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1500)), _u1502)))) | ~hBOOL(hAPP(hAPP(c_member(_u1500), _u1498), _u1502)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1500), _u1498), skolem46(_u1502, _u1501, _u1500, _u1499, _u1498))) )).
% 39.89/40.12 cnf(matrix-1439, plain, ( ( hAPP(c_Set_OPow(_u1503), hAPP(hAPP(c_Set_Oinsert(_u1503), _u1504), _u1505)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u1503, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u1503), _u1505)), hAPP(c_Set_Oimage(tc_fun(_u1503, tc_HOL_Obool), tc_fun(_u1503, tc_HOL_Obool), hAPP(c_Set_Oinsert(_u1503), _u1504)), hAPP(c_Set_OPow(_u1503), _u1505)))) )).
% 39.89/40.12 cnf(matrix-1440, plain, ( ( _u1516 = c_Orderings_Obot__class_Obot(tc_fun(_u1512, tc_HOL_Obool))) | ( c_Orderings_Obot__class_Obot(tc_fun(_u1510, tc_HOL_Obool)) != hAPP(c_Set_Oimage(_u1512, _u1510, _u1514), _u1516)) )).
% 39.89/40.12 cnf(matrix-1441, plain, ( ( _u1517 != c_Orderings_Obot__class_Obot(tc_fun(_u1513, tc_HOL_Obool))) | ( c_Orderings_Obot__class_Obot(tc_fun(_u1511, tc_HOL_Obool)) = hAPP(c_Set_Oimage(_u1513, _u1511, _u1515), _u1517)) )).
% 39.89/40.12 cnf(matrix-1442, plain, ( ( hAPP(c_Set_Oimage(_u1518, _u1519, _u1520), c_Orderings_Obot__class_Obot(tc_fun(_u1518, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u1519, tc_HOL_Obool))) )).
% 39.89/40.12 cnf(matrix-1443, plain, ( ( hAPP(c_Set_Oimage(_u1525, _u1527, _u1529), _u1531) != c_Orderings_Obot__class_Obot(tc_fun(_u1527, tc_HOL_Obool))) | ( _u1531 = c_Orderings_Obot__class_Obot(tc_fun(_u1525, tc_HOL_Obool))) )).
% 39.89/40.12 cnf(matrix-1444, plain, ( ( _u1532 != c_Orderings_Obot__class_Obot(tc_fun(_u1526, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u1526, _u1528, _u1530), _u1532) = c_Orderings_Obot__class_Obot(tc_fun(_u1528, tc_HOL_Obool))) )).
% 39.89/40.12 cnf(matrix-1445, plain, ( ( hAPP(c_Set_Oimage(_u1533, _u1534, _u1535), hAPP(hAPP(c_Set_Oinsert(_u1533), _u1536), _u1537)) = hAPP(hAPP(c_Set_Oinsert(_u1534), hAPP(_u1535, _u1536)), hAPP(c_Set_Oimage(_u1533, _u1534, _u1535), _u1537))) )).
% 39.89/40.12 cnf(matrix-1446, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1545, tc_HOL_Obool)), _u1547), hAPP(c_Set_Oimage(_u1549, _u1545, _u1551), _u1553))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1549, tc_HOL_Obool)), skolem47(_u1553, _u1551, _u1549, _u1547, _u1545)), _u1553)) )).
% 39.89/40.12 cnf(matrix-1447, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1545, tc_HOL_Obool)), _u1547), hAPP(c_Set_Oimage(_u1549, _u1545, _u1551), _u1553))) | ( _u1547 = hAPP(c_Set_Oimage(_u1549, _u1545, _u1551), skolem47(_u1553, _u1551, _u1549, _u1547, _u1545))) )).
% 39.89/40.12 cnf(matrix-1448, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1550, tc_HOL_Obool)), _u1539), _u1554)) | ( _u1548 != hAPP(c_Set_Oimage(_u1550, _u1546, _u1552), _u1539)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1546, tc_HOL_Obool)), _u1548), hAPP(c_Set_Oimage(_u1550, _u1546, _u1552), _u1554))) )).
% 39.89/40.12 cnf(matrix-1449, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1555, tc_HOL_Obool)), _u1556), _u1557)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1558, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u1555, _u1558, _u1559), _u1556)), hAPP(c_Set_Oimage(_u1555, _u1558, _u1559), _u1557))) )).
% 39.89/40.12 cnf(matrix-1450, plain, ( ( hAPP(c_Set_Oimage(_u1560, _u1561, hAPP(c_Fun_Ocomp(_u1562, _u1561, _u1560, _u1563), _u1564)), _u1565) = hAPP(c_Set_Oimage(_u1562, _u1561, _u1563), hAPP(c_Set_Oimage(_u1560, _u1562, _u1564), _u1565))) )).
% 39.89/40.12 cnf(matrix-1451, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1566), _u1567), _u1568)) | ( hAPP(c_Set_Oimage(_u1566, _u1569, hAPP(c_COMBK(_u1569, _u1566), _u1570)), _u1568) = hAPP(hAPP(c_Set_Oinsert(_u1569), _u1570), c_Orderings_Obot__class_Obot(tc_fun(_u1569, tc_HOL_Obool)))) )).
% 39.89/40.12 cnf(matrix-1452, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1571, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u1571, tc_HOL_Obool))), _u1572) = _u1572) )).
% 39.89/40.12 cnf(matrix-1453, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1573, tc_HOL_Obool)), _u1574), c_Orderings_Obot__class_Obot(tc_fun(_u1573, tc_HOL_Obool))) = _u1574) )).
% 39.89/40.12 cnf(matrix-1454, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1578, tc_HOL_Obool)), _u1580), _u1582) != c_Orderings_Obot__class_Obot(tc_fun(_u1578, tc_HOL_Obool))) | ( _u1580 = c_Orderings_Obot__class_Obot(tc_fun(_u1578, tc_HOL_Obool))) )).
% 39.89/40.12 cnf(matrix-1455, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1578, tc_HOL_Obool)), _u1580), _u1582) != c_Orderings_Obot__class_Obot(tc_fun(_u1578, tc_HOL_Obool))) | ( _u1582 = c_Orderings_Obot__class_Obot(tc_fun(_u1578, tc_HOL_Obool))) )).
% 39.89/40.12 cnf(matrix-1456, plain, ( ( _u1581 != c_Orderings_Obot__class_Obot(tc_fun(_u1579, tc_HOL_Obool))) | ( _u1583 != c_Orderings_Obot__class_Obot(tc_fun(_u1579, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1579, tc_HOL_Obool)), _u1581), _u1583) = c_Orderings_Obot__class_Obot(tc_fun(_u1579, tc_HOL_Obool))) )).
% 39.89/40.12 cnf(matrix-1457, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1584, tc_HOL_Obool)), _u1585), hAPP(hAPP(c_Set_Oinsert(_u1584), _u1586), _u1587)) = hAPP(hAPP(c_Set_Oinsert(_u1584), _u1586), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1584, tc_HOL_Obool)), _u1585), _u1587))) )).
% 39.89/40.12 cnf(matrix-1458, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1588, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1588), _u1589), _u1590)), _u1591) = hAPP(hAPP(c_Set_Oinsert(_u1588), _u1589), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1588, tc_HOL_Obool)), _u1590), _u1591))) )).
% 39.89/40.12 cnf(matrix-1459, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1592, tc_HOL_Obool)), _u1593), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1592, tc_HOL_Obool)), _u1593), _u1594))) )).
% 39.89/40.12 cnf(matrix-1460, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1595, tc_HOL_Obool)), _u1596), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1595, tc_HOL_Obool)), _u1597), _u1596))) )).
% 39.89/40.12 cnf(matrix-1461, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1601, tc_HOL_Obool)), _u1603), _u1605)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1601, tc_HOL_Obool)), _u1603), _u1605) = _u1605) )).
% 39.89/40.12 cnf(matrix-1462, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1602, tc_HOL_Obool)), _u1604), _u1606) != _u1606) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1602, tc_HOL_Obool)), _u1604), _u1606)) )).
% 39.89/40.12 cnf(matrix-1463, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1607, tc_HOL_Obool)), _u1608), _u1609)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1607, tc_HOL_Obool)), _u1608), _u1609) = _u1609) )).
% 39.89/40.12 cnf(matrix-1464, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1610, tc_HOL_Obool)), _u1611), _u1612)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1610, tc_HOL_Obool)), _u1612), _u1611) = _u1612) )).
% 39.89/40.12 cnf(matrix-1465, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1613, tc_HOL_Obool)), _u1614), _u1615)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1613, tc_HOL_Obool)), _u1616), _u1615)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1613, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1613, tc_HOL_Obool)), _u1614), _u1616)), _u1615)) )).
% 39.89/40.12 cnf(matrix-1466, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1617, tc_HOL_Obool)), _u1618), _u1619)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1617, tc_HOL_Obool)), _u1620), _u1621)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1617, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1617, tc_HOL_Obool)), _u1618), _u1620)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1617, tc_HOL_Obool)), _u1619), _u1621))) )).
% 39.89/40.12 cnf(matrix-1467, plain, ( hBOOL(hAPP(hAPP(c_member(_u1626), skolem48(_u1628, _u1626)), _u1628)) | ( _u1628 = c_Orderings_Obot__class_Obot(tc_fun(_u1626, tc_HOL_Obool))) )).
% 39.89/40.12 cnf(matrix-1468, plain, ( ( _u1629 != c_Orderings_Obot__class_Obot(tc_fun(_u1627, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u1627), _u1623), _u1629)) )).
% 39.89/40.12 cnf(matrix-1469, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1634), _u1630), _u1636)) | ( _u1636 != c_Orderings_Obot__class_Obot(tc_fun(_u1634, tc_HOL_Obool))) )).
% 39.89/40.12 cnf(matrix-1470, plain, ( ( _u1637 = c_Orderings_Obot__class_Obot(tc_fun(_u1635, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u1635), skolem49(_u1637, _u1635)), _u1637)) )).
% 39.89/40.12 cnf(matrix-1471, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1638), _u1639), c_Orderings_Obot__class_Obot(tc_fun(_u1638, tc_HOL_Obool)))) )).
% 39.89/40.12 cnf(matrix-1472, plain, ( ( _u1640 != c_Orderings_Obot__class_Obot(tc_fun(_u1641, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u1641), _u1642), _u1640)) )).
% 39.89/40.12 cnf(matrix-1473, plain, ( hBOOL(hAPP(hAPP(c_member(_u1643), _u1644), hAPP(hAPP(c_Set_Oinsert(_u1643), _u1644), _u1645))) )).
% 39.89/40.12 cnf(matrix-1474, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1650), _u1652), hAPP(hAPP(c_Set_Oinsert(_u1650), _u1654), _u1656))) | ( _u1652 = _u1654) | hBOOL(hAPP(hAPP(c_member(_u1650), _u1652), _u1656)) )).
% 39.89/40.12 cnf(matrix-1475, plain, ( hBOOL(hAPP(hAPP(c_member(_u1651), _u1653), hAPP(hAPP(c_Set_Oinsert(_u1651), _u1655), _u1657))) | ( _u1653 != _u1655) )).
% 39.89/40.12 cnf(matrix-1476, plain, ( hBOOL(hAPP(hAPP(c_member(_u1651), _u1653), hAPP(hAPP(c_Set_Oinsert(_u1651), _u1655), _u1657))) | ~hBOOL(hAPP(hAPP(c_member(_u1651), _u1653), _u1657)) )).
% 39.89/40.12 cnf(matrix-1477, plain, ( hBOOL(hAPP(hAPP(c_member(_u1658), _u1659), _u1660)) | hBOOL(hAPP(hAPP(c_member(_u1658), _u1659), _u1661)) | ( hAPP(hAPP(c_Set_Oinsert(_u1658), _u1659), _u1660) != hAPP(hAPP(c_Set_Oinsert(_u1658), _u1659), _u1661)) | ( _u1660 = _u1661) )).
% 39.89/40.12 cnf(matrix-1478, plain, ( hBOOL(hAPP(hAPP(c_member(_u1658), _u1659), _u1660)) | hBOOL(hAPP(hAPP(c_member(_u1658), _u1659), _u1661)) | ( _u1660 != _u1661) | ( hAPP(hAPP(c_Set_Oinsert(_u1658), _u1659), _u1660) = hAPP(hAPP(c_Set_Oinsert(_u1658), _u1659), _u1661)) )).
% 39.89/40.12 cnf(matrix-1479, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1662), _u1663), _u1664)) | hBOOL(hAPP(hAPP(c_member(_u1662), _u1663), hAPP(hAPP(c_Set_Oinsert(_u1662), _u1665), _u1664))) )).
% 39.89/40.12 cnf(matrix-1480, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1666), _u1667), _u1668)) | ( hAPP(hAPP(c_Set_Oinsert(_u1666), _u1667), _u1668) = _u1668) )).
% 39.89/40.12 cnf(matrix-1481, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1669, tc_HOL_Obool)), _u1670), _u1671)) | ~hBOOL(hAPP(hAPP(c_member(_u1669), _u1672), _u1670)) | hBOOL(hAPP(hAPP(c_member(_u1669), _u1672), _u1671)) )).
% 39.89/40.12 cnf(matrix-1482, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1673), _u1674), _u1675)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1673, tc_HOL_Obool)), _u1675), _u1676)) | hBOOL(hAPP(hAPP(c_member(_u1673), _u1674), _u1676)) )).
% 39.89/40.12 cnf(matrix-1483, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1677, tc_HOL_Obool)), _u1678), _u1679)) | ~hBOOL(hAPP(hAPP(c_member(_u1677), _u1680), _u1678)) | hBOOL(hAPP(hAPP(c_member(_u1677), _u1680), _u1679)) )).
% 39.89/40.12 cnf(matrix-1484, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u1681, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u1681, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u1681), _u1682)), hAPP(c_Set_OPow(_u1681), _u1683))), hAPP(c_Set_OPow(_u1681), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1681, tc_HOL_Obool)), _u1682), _u1683)))) )).
% 39.89/40.12 cnf(matrix-1485, plain, ( ( hAPP(c_Set_Oimage(_u1685, tc_fun(_u1685, tc_HOL_Obool), _u1684), _u1686) != hAPP(c_Set_OPow(_u1685), _u1686)) )).
% 39.89/40.12 cnf(matrix-1486, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u1687, tc_HOL_Obool)), _u1688), hAPP(c_Set_OPow(_u1687), _u1688))) )).
% 39.89/40.12 cnf(matrix-1487, plain, ( ( hAPP(c_Set_OCollect(_u1689), hAPP(hAPP(c_COMBS(_u1689, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u1689), c_fdisj), _u1690)), _u1691)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1689, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u1689), _u1690)), hAPP(c_Set_OCollect(_u1689), _u1691))) )).
% 39.89/40.12 cnf(matrix-1488, plain, ( ~class_Orderings_Oorder(_u1692) | ~class_Orderings_Oorder(_u1693) | ~c_Orderings_Oorder__class_Omono(_u1693, _u1692, _u1694) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1693), _u1695), _u1696)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1692), hAPP(_u1694, _u1695)), hAPP(_u1694, _u1696))) )).
% 39.89/40.12 cnf(matrix-1489, plain, ( ~hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u1699, tc_HOL_Obool)), _u1701)) | hBOOL(hAPP(hAPP(c_member(_u1699), _u1701), c_Orderings_Obot__class_Obot(tc_fun(_u1699, tc_HOL_Obool)))) )).
% 39.89/40.12 cnf(matrix-1490, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1700), _u1702), c_Orderings_Obot__class_Obot(tc_fun(_u1700, tc_HOL_Obool)))) | hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u1700, tc_HOL_Obool)), _u1702)) )).
% 39.89/40.12 cnf(matrix-1491, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1703, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u1704, _u1703, _u1705), _u1706)), _u1707)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u1703, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_Oimage(tc_fun(_u1704, tc_HOL_Obool), tc_fun(_u1703, tc_HOL_Obool), c_Set_Oimage(_u1704, _u1703, _u1705)), hAPP(c_Set_OPow(_u1704), _u1706))), hAPP(c_Set_OPow(_u1703), _u1707))) )).
% 39.89/40.12 cnf(matrix-1492, plain, ( ( hAPP(c_Set_OCollect(_u1708), hAPP(hAPP(c_COMBC(_u1708, tc_fun(_u1708, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1708)), _u1709)) = _u1709) )).
% 39.89/40.12 cnf(matrix-1493, plain, ( hBOOL(hAPP(_u1717, _u1715)) | ~hBOOL(hAPP(hAPP(c_member(_u1713), _u1715), hAPP(c_Set_OCollect(_u1713), _u1717))) )).
% 39.89/40.12 cnf(matrix-1494, plain, ( ~hBOOL(hAPP(_u1718, _u1716)) | hBOOL(hAPP(hAPP(c_member(_u1714), _u1716), hAPP(c_Set_OCollect(_u1714), _u1718))) )).
% 39.89/40.12 cnf(matrix-1495, plain, ( hBOOL(hAPP(_u1721, _u1720)) | ~hBOOL(hAPP(hAPP(c_member(_u1719), _u1720), hAPP(c_Set_OCollect(_u1719), _u1721))) )).
% 39.89/40.12 cnf(matrix-1496, plain, ( hBOOL(hAPP(_u1724, _u1723)) | ~hBOOL(hAPP(hAPP(c_member(_u1722), _u1723), hAPP(c_Set_OCollect(_u1722), _u1724))) )).
% 39.89/40.12 cnf(matrix-1497, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1728, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u1728, tc_fun(_u1728, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1728)), _u1730)), hAPP(hAPP(c_COMBC(_u1728, tc_fun(_u1728, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1728)), _u1732))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1728, tc_HOL_Obool)), _u1730), _u1732)) )).
% 39.89/40.12 cnf(matrix-1498, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1729, tc_HOL_Obool)), _u1731), _u1733)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1729, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u1729, tc_fun(_u1729, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1729)), _u1731)), hAPP(hAPP(c_COMBC(_u1729, tc_fun(_u1729, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1729)), _u1733))) )).
% 39.89/40.12 cnf(matrix-1499, plain, ( ~hBOOL(hAPP(c_Predicate_OPowp(_u1737, hAPP(hAPP(c_COMBC(_u1737, tc_fun(_u1737, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1737)), _u1739)), _u1741)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u1737, tc_HOL_Obool)), _u1741), hAPP(c_Set_OPow(_u1737), _u1739))) )).
% 39.89/40.12 cnf(matrix-1500, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u1738, tc_HOL_Obool)), _u1742), hAPP(c_Set_OPow(_u1738), _u1740))) | hBOOL(hAPP(c_Predicate_OPowp(_u1738, hAPP(hAPP(c_COMBC(_u1738, tc_fun(_u1738, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1738)), _u1740)), _u1742)) )).
% 39.89/40.12 cnf(matrix-1501, plain, ( hBOOL(hAPP(hAPP(c_member(_u1743), _u1744), _u1745)) | ( hAPP(c_Fun_Ooverride__on(_u1743, _u1746, _u1747, _u1748, _u1745), _u1744) = hAPP(_u1747, _u1744)) )).
% 39.89/40.12 cnf(matrix-1502, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1749), _u1750), _u1751)) | ( hAPP(c_Fun_Ooverride__on(_u1749, _u1752, _u1753, _u1754, _u1751), _u1750) = hAPP(_u1754, _u1750)) )).
% 39.89/40.12 cnf(matrix-1503, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u1755), _u1756), _u1757) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1755, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1755), _u1756), c_Orderings_Obot__class_Obot(tc_fun(_u1755, tc_HOL_Obool)))), _u1757)) )).
% 39.89/40.12 cnf(matrix-1504, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1764), _u1766), _u1768)) | ( hAPP(c_Fun_Ooverride__on(_u1764, _u1770, _u1772, _u1774, _u1768), _u1766) = hAPP(_u1774, _u1766)) )).
% 39.89/40.12 cnf(matrix-1505, plain, ( hBOOL(hAPP(hAPP(c_member(_u1765), _u1767), _u1769)) | ( hAPP(c_Fun_Ooverride__on(_u1765, _u1771, _u1773, _u1775, _u1769), _u1767) = hAPP(_u1773, _u1767)) )).
% 39.89/40.12 cnf(matrix-1506, plain, ( ( _u1781 = _u1783) | ~hBOOL(hAPP(hAPP(c_member(_u1779), _u1781), hAPP(hAPP(c_Set_Oinsert(_u1779), _u1783), c_Orderings_Obot__class_Obot(tc_fun(_u1779, tc_HOL_Obool))))) )).
% 39.89/40.12 cnf(matrix-1507, plain, ( ( _u1782 != _u1784) | hBOOL(hAPP(hAPP(c_member(_u1780), _u1782), hAPP(hAPP(c_Set_Oinsert(_u1780), _u1784), c_Orderings_Obot__class_Obot(tc_fun(_u1780, tc_HOL_Obool))))) )).
% 39.89/40.12 cnf(matrix-1508, plain, ( ( _u1786 = _u1787) | ~hBOOL(hAPP(hAPP(c_member(_u1785), _u1786), hAPP(hAPP(c_Set_Oinsert(_u1785), _u1787), c_Orderings_Obot__class_Obot(tc_fun(_u1785, tc_HOL_Obool))))) )).
% 39.89/40.12 cnf(matrix-1509, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1792, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1792), _u1794), _u1796)), _u1798)) | hBOOL(hAPP(hAPP(c_member(_u1792), _u1794), _u1798)) )).
% 39.89/40.12 cnf(matrix-1510, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1792, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1792), _u1794), _u1796)), _u1798)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1792, tc_HOL_Obool)), _u1796), _u1798)) )).
% 39.89/40.12 cnf(matrix-1511, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1793), _u1795), _u1799)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1793, tc_HOL_Obool)), _u1797), _u1799)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1793, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1793), _u1795), _u1797)), _u1799)) )).
% 39.89/40.12 cnf(matrix-1512, plain, ( ~class_Lattices_Osemilattice__sup(_u1800) | ~class_Lattices_Osemilattice__sup(_u1801) | ~c_Orderings_Oorder__class_Omono(_u1801, _u1800, _u1802) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1800), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1800), hAPP(_u1802, _u1803)), hAPP(_u1802, _u1804))), hAPP(_u1802, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1801), _u1803), _u1804)))) )).
% 39.89/40.12 cnf(matrix-1513, plain, ( ~class_Lattices_Olattice(_u1805) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1806, _u1805)), _u1807), _u1808), _u1809) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1805), hAPP(_u1807, _u1809)), hAPP(_u1808, _u1809))) )).
% 39.89/40.12 cnf(matrix-1514, plain, ( ~class_Lattices_Olattice(_u1810) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1811, _u1810)), _u1812), _u1813), _u1814) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1810), hAPP(_u1812, _u1814)), hAPP(_u1813, _u1814))) )).
% 39.89/40.12 cnf(matrix-1515, plain, ( ~class_Lattices_Obounded__lattice__bot(_u1815) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1815), c_Orderings_Obot__class_Obot(_u1815)), _u1816) = _u1816) )).
% 39.89/40.12 cnf(matrix-1516, plain, ( ~class_Lattices_Obounded__lattice__bot(_u1817) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1817), _u1818), c_Orderings_Obot__class_Obot(_u1817)) = _u1818) )).
% 39.89/40.12 cnf(matrix-1517, plain, ( ~class_Lattices_Obounded__lattice__bot(_u1819) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1819), _u1820), _u1821) != c_Orderings_Obot__class_Obot(_u1819)) | ( _u1820 = c_Orderings_Obot__class_Obot(_u1819)) )).
% 39.89/40.12 cnf(matrix-1518, plain, ( ~class_Lattices_Obounded__lattice__bot(_u1819) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1819), _u1820), _u1821) != c_Orderings_Obot__class_Obot(_u1819)) | ( _u1821 = c_Orderings_Obot__class_Obot(_u1819)) )).
% 39.89/40.12 cnf(matrix-1519, plain, ( ~class_Lattices_Obounded__lattice__bot(_u1819) | ( _u1820 != c_Orderings_Obot__class_Obot(_u1819)) | ( _u1821 != c_Orderings_Obot__class_Obot(_u1819)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1819), _u1820), _u1821) = c_Orderings_Obot__class_Obot(_u1819)) )).
% 39.89/40.12 cnf(matrix-1520, plain, ( ~class_Lattices_Olattice(_u1822) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1822), _u1823), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1822), _u1823), _u1824))) )).
% 39.89/40.12 cnf(matrix-1521, plain, ( ~class_Lattices_Osemilattice__sup(_u1825) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1825), _u1826), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1825), _u1826), _u1827))) )).
% 39.89/40.12 cnf(matrix-1522, plain, ( ~class_Lattices_Olattice(_u1828) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1828), _u1829), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1828), _u1830), _u1829))) )).
% 39.89/40.12 cnf(matrix-1523, plain, ( ~class_Lattices_Osemilattice__sup(_u1831) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1831), _u1832), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1831), _u1833), _u1832))) )).
% 39.89/40.12 cnf(matrix-1524, plain, ( ~class_Lattices_Osemilattice__sup(_u1834) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1834), _u1835), _u1836)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1834), _u1835), _u1836) = _u1836) )).
% 39.89/40.12 cnf(matrix-1525, plain, ( ~class_Lattices_Osemilattice__sup(_u1834) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1834), _u1835), _u1836) != _u1836) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1834), _u1835), _u1836)) )).
% 39.89/40.12 cnf(matrix-1526, plain, ( ~class_Lattices_Osemilattice__sup(_u1837) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1837), _u1838), _u1838) = _u1838) )).
% 39.89/40.12 cnf(matrix-1527, plain, ( ~class_Lattices_Osemilattice__sup(_u1839) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1839), _u1840), _u1840) = _u1840) )).
% 39.89/40.12 cnf(matrix-1528, plain, ( ~class_Lattices_Osemilattice__sup(_u1841) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1841), _u1842), _u1843) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1841), _u1843), _u1842)) )).
% 39.89/40.12 cnf(matrix-1529, plain, ( ~class_Lattices_Olattice(_u1844) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1844), _u1845), _u1846) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1844), _u1846), _u1845)) )).
% 39.89/40.12 cnf(matrix-1530, plain, ( ~class_Lattices_Osemilattice__sup(_u1847) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1847), _u1848), _u1849) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1847), _u1849), _u1848)) )).
% 39.89/40.12 cnf(matrix-1531, plain, ( ~class_Lattices_Osemilattice__sup(_u1850) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1850), _u1851), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1850), _u1851), _u1852)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1850), _u1851), _u1852)) )).
% 39.89/40.12 cnf(matrix-1532, plain, ( ~class_Lattices_Olattice(_u1853) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1853), _u1854), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1853), _u1854), _u1855)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1853), _u1854), _u1855)) )).
% 39.89/40.12 cnf(matrix-1533, plain, ( ~class_Lattices_Osemilattice__sup(_u1856) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1856), _u1857), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1856), _u1857), _u1858)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1856), _u1857), _u1858)) )).
% 39.89/40.12 cnf(matrix-1534, plain, ( ~class_Lattices_Osemilattice__sup(_u1859) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1859), _u1860), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1859), _u1861), _u1862)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1859), _u1861), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1859), _u1860), _u1862))) )).
% 39.89/40.12 cnf(matrix-1535, plain, ( ~class_Lattices_Olattice(_u1863) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1863), _u1864), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1863), _u1865), _u1866)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1863), _u1865), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1863), _u1864), _u1866))) )).
% 39.89/40.12 cnf(matrix-1536, plain, ( ~class_Lattices_Osemilattice__sup(_u1867) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1867), _u1868), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1867), _u1869), _u1870)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1867), _u1869), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1867), _u1868), _u1870))) )).
% 39.89/40.12 cnf(matrix-1537, plain, ( ~class_Lattices_Osemilattice__sup(_u1871) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1871), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1871), _u1872), _u1873)), _u1874) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1871), _u1872), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1871), _u1873), _u1874))) )).
% 39.89/40.12 cnf(matrix-1538, plain, ( ~class_Lattices_Olattice(_u1875) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1875), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1875), _u1876), _u1877)), _u1878) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1875), _u1876), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1875), _u1877), _u1878))) )).
% 39.89/40.12 cnf(matrix-1539, plain, ( ~class_Lattices_Osemilattice__sup(_u1879) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1879), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1879), _u1880), _u1881)), _u1882) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1879), _u1880), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1879), _u1881), _u1882))) )).
% 39.89/40.12 cnf(matrix-1540, plain, ( ~class_Lattices_Osemilattice__sup(_u1883) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1883), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1883), _u1884), _u1885)), _u1886)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1883), _u1884), _u1886)) )).
% 39.89/40.12 cnf(matrix-1541, plain, ( ~class_Lattices_Osemilattice__sup(_u1883) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1883), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1883), _u1884), _u1885)), _u1886)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1883), _u1885), _u1886)) )).
% 39.89/40.12 cnf(matrix-1542, plain, ( ~class_Lattices_Osemilattice__sup(_u1887) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1887), _u1888), _u1889)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1887), _u1890), _u1891)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1887), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1887), _u1888), _u1890)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1887), _u1889), _u1891))) )).
% 39.89/40.12 cnf(matrix-1543, plain, ( ~class_Lattices_Osemilattice__sup(_u1892) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1892), _u1893), _u1894)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1892), _u1895), _u1894)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1892), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1892), _u1893), _u1895)), _u1894)) )).
% 39.89/40.12 cnf(matrix-1544, plain, ( ~class_Lattices_Osemilattice__sup(_u1896) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1896), _u1897), _u1898)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1896), _u1899), _u1898)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1896), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1896), _u1897), _u1899)), _u1898)) )).
% 39.89/40.12 cnf(matrix-1545, plain, ( ~class_Lattices_Osemilattice__sup(_u1900) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1900), _u1901), _u1902)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1900), _u1902), _u1901) = _u1902) )).
% 39.89/40.12 cnf(matrix-1546, plain, ( ~class_Lattices_Osemilattice__sup(_u1903) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1903), _u1904), _u1905)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1903), _u1904), _u1905) = _u1905) )).
% 39.89/40.12 cnf(matrix-1547, plain, ( ~class_Lattices_Osemilattice__sup(_u1906) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1906), _u1907), _u1908)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1906), _u1907), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1906), _u1909), _u1908))) )).
% 39.89/40.12 cnf(matrix-1548, plain, ( ~class_Lattices_Osemilattice__sup(_u1910) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1910), _u1911), _u1912)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1910), _u1911), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1910), _u1912), _u1913))) )).
% 39.89/40.12 cnf(matrix-1549, plain, ( ~class_Lattices_Osemilattice__sup(_u1914) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1914), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1914), _u1915), _u1916)), _u1917)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1914), _u1915), _u1917)) )).
% 39.89/40.12 cnf(matrix-1550, plain, ( ~class_Lattices_Osemilattice__sup(_u1914) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1914), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1914), _u1915), _u1916)), _u1917)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1914), _u1916), _u1917)) )).
% 39.89/40.12 cnf(matrix-1551, plain, ( ~class_Lattices_Osemilattice__sup(_u1914) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1914), _u1915), _u1917)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1914), _u1916), _u1917)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1914), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1914), _u1915), _u1916)), _u1917)) )).
% 39.89/40.12 cnf(matrix-1552, plain, ( ~class_Orderings_Oorder(_u1918) | ~c_Orderings_Oorder__class_Omono(_u1918, tc_fun(_u1919, tc_HOL_Obool), _u1920) | c_Orderings_Oorder__class_Omono(_u1918, tc_fun(_u1919, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u1918, tc_fun(_u1919, tc_HOL_Obool), tc_fun(_u1919, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u1919, tc_HOL_Obool), tc_fun(tc_fun(_u1919, tc_HOL_Obool), tc_fun(_u1919, tc_HOL_Obool)), _u1918), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1919, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u1918, tc_fun(_u1919, tc_HOL_Obool), tc_fun(_u1919, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u1919, tc_HOL_Obool), tc_fun(tc_fun(_u1919, tc_HOL_Obool), tc_fun(_u1919, tc_HOL_Obool)), _u1918), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1919, tc_HOL_Obool))), _u1920)), _u1921))), _u1922)) )).
% 39.89/40.12 cnf(matrix-1553, plain, ( ( hAPP(c_Fun_Othe__inv__into(_u1923, _u1924, _u1925, _u1926), _u1927) = c_HOL_OThe(_u1923, hAPP(hAPP(c_COMBS(_u1923, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u1923), c_fconj), hAPP(hAPP(c_COMBC(_u1923, tc_fun(_u1923, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1923)), _u1925))), hAPP(hAPP(c_COMBC(_u1923, _u1924, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u1924, tc_fun(_u1924, tc_HOL_Obool), _u1923), c_fequal), _u1926)), _u1927)))) )).
% 39.89/40.12 cnf(matrix-1554, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1928, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1928, tc_HOL_Obool)), _u1929), hAPP(hAPP(c_Set_Oinsert(_u1928), _u1930), c_Orderings_Obot__class_Obot(tc_fun(_u1928, tc_HOL_Obool))))), _u1931)) | ~hBOOL(hAPP(hAPP(c_member(_u1928), _u1930), _u1929)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1928, tc_HOL_Obool)), _u1929), hAPP(hAPP(c_Set_Oinsert(_u1928), _u1930), _u1931))) )).
% 39.89/40.12 cnf(matrix-1555, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1936, tc_HOL_Obool)), _u1938), hAPP(hAPP(c_Set_Oinsert(_u1936), _u1940), _u1942))) | ~hBOOL(hAPP(hAPP(c_member(_u1936), _u1940), _u1938)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1936, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1936, tc_HOL_Obool)), _u1938), hAPP(hAPP(c_Set_Oinsert(_u1936), _u1940), c_Orderings_Obot__class_Obot(tc_fun(_u1936, tc_HOL_Obool))))), _u1942)) )).
% 39.89/40.12 cnf(matrix-1556, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1936, tc_HOL_Obool)), _u1938), hAPP(hAPP(c_Set_Oinsert(_u1936), _u1940), _u1942))) | hBOOL(hAPP(hAPP(c_member(_u1936), _u1940), _u1938)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1936, tc_HOL_Obool)), _u1938), _u1942)) )).
% 39.89/40.12 cnf(matrix-1557, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1937, tc_HOL_Obool)), _u1939), hAPP(hAPP(c_Set_Oinsert(_u1937), _u1941), _u1943))) | hBOOL(hAPP(hAPP(c_member(_u1937), _u1941), _u1939)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1937, tc_HOL_Obool)), _u1939), _u1943)) )).
% 39.89/40.12 cnf(matrix-1558, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1937, tc_HOL_Obool)), _u1939), hAPP(hAPP(c_Set_Oinsert(_u1937), _u1941), _u1943))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1937, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1937, tc_HOL_Obool)), _u1939), hAPP(hAPP(c_Set_Oinsert(_u1937), _u1941), c_Orderings_Obot__class_Obot(tc_fun(_u1937, tc_HOL_Obool))))), _u1943)) | ~hBOOL(hAPP(hAPP(c_member(_u1937), _u1941), _u1939)) )).
% 39.89/40.12 cnf(matrix-1559, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1937, tc_HOL_Obool)), _u1939), hAPP(hAPP(c_Set_Oinsert(_u1937), _u1941), _u1943))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1937, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1937, tc_HOL_Obool)), _u1939), hAPP(hAPP(c_Set_Oinsert(_u1937), _u1941), c_Orderings_Obot__class_Obot(tc_fun(_u1937, tc_HOL_Obool))))), _u1943)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1937, tc_HOL_Obool)), _u1939), _u1943)) )).
% 39.89/40.12 cnf(matrix-1560, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1945), _u1946), hAPP(c_Set_Oimage(_u1947, _u1945, _u1948), _u1949))) | ( _u1946 = hAPP(_u1948, skolem50(_u1949, _u1948, _u1947, _u1946))) )).
% 39.89/40.12 cnf(matrix-1561, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1945), _u1946), hAPP(c_Set_Oimage(_u1947, _u1945, _u1948), _u1949))) | hBOOL(hAPP(hAPP(c_member(_u1947), skolem50(_u1949, _u1948, _u1947, _u1946)), _u1949)) )).
% 39.89/40.12 cnf(matrix-1562, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1953, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u1951, _u1953, _u1954), _u1952)), _u1955)) | hBOOL(hAPP(hAPP(c_member(_u1951), skolem51(_u1955, _u1954, _u1953, _u1952, _u1951)), _u1952)) )).
% 39.89/40.12 cnf(matrix-1563, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1953, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u1951, _u1953, _u1954), _u1952)), _u1955)) | ~hBOOL(hAPP(hAPP(c_member(_u1953), hAPP(_u1954, skolem51(_u1955, _u1954, _u1953, _u1952, _u1951))), _u1955)) )).
% 39.89/40.12 cnf(matrix-1564, plain, ( ~c_Orderings_Oorder__class_Omono(tc_fun(_u1956, tc_HOL_Obool), tc_fun(_u1956, tc_HOL_Obool), _u1957) | ~hBOOL(hAPP(hAPP(c_member(_u1956), _u1958), _u1959)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1956, tc_HOL_Obool)), _u1959), hAPP(_u1957, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1956, tc_HOL_Obool)), _u1959), c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u1956, tc_HOL_Obool), _u1957))))) | hBOOL(hAPP(hAPP(c_member(_u1956), _u1958), c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u1956, tc_HOL_Obool), _u1957))) )).
% 39.89/40.12 cnf(matrix-1565, plain, ( ( _u1960 != c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u1961, tc_HOL_Obool), _u1962)) | ~c_Orderings_Oorder__class_Omono(tc_fun(_u1961, tc_HOL_Obool), tc_fun(_u1961, tc_HOL_Obool), _u1962) | ~hBOOL(hAPP(hAPP(c_member(_u1961), _u1963), _u1964)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1961, tc_HOL_Obool)), _u1964), hAPP(_u1962, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1961, tc_HOL_Obool)), _u1964), _u1960)))) | hBOOL(hAPP(hAPP(c_member(_u1961), _u1963), _u1960)) )).
% 39.89/40.12 cnf(matrix-1566, plain, ( ( hAPP(c_Set_Oimage(_u1965, _u1966, hAPP(hAPP(c_COMBS(_u1965, _u1966, _u1966), hAPP(hAPP(c_COMBS(_u1965, _u1966, tc_fun(_u1966, _u1966)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u1966, tc_fun(_u1966, _u1966)), _u1965), c_If(_u1966)), _u1967)), _u1968)), _u1969)), _u1970) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1966, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u1965, _u1966, _u1968), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1965, tc_HOL_Obool)), _u1970), hAPP(c_Set_OCollect(_u1965), _u1967)))), hAPP(c_Set_Oimage(_u1965, _u1966, _u1969), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1965, tc_HOL_Obool)), _u1970), hAPP(c_Set_OCollect(_u1965), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u1965), c_fNot), _u1967)))))) )).
% 39.89/40.12 cnf(matrix-1567, plain, ( ~class_Lattices_Olattice(_u1971) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1971), _u1972), _u1972) = _u1972) )).
% 39.89/40.12 cnf(matrix-1568, plain, ( ~hBOOL(hAPP(_u1973, _u1974)) | ~hBOOL(hAPP(_u1975, _u1974)) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1976, tc_HOL_Obool)), _u1973), _u1975), _u1974)) )).
% 39.89/40.12 cnf(matrix-1569, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1977, tc_HOL_Obool)), _u1978), _u1979), _u1980)) | hBOOL(hAPP(_u1978, _u1980)) )).
% 39.89/40.12 cnf(matrix-1570, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1977, tc_HOL_Obool)), _u1978), _u1979), _u1980)) | hBOOL(hAPP(_u1979, _u1980)) )).
% 39.89/40.12 cnf(matrix-1571, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1981), _u1982), _u1983)) | ~hBOOL(hAPP(hAPP(c_member(_u1981), _u1982), _u1984)) | hBOOL(hAPP(hAPP(c_member(_u1981), _u1982), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1981, tc_HOL_Obool)), _u1983), _u1984))) )).
% 39.89/40.12 cnf(matrix-1572, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1985), _u1986), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1985, tc_HOL_Obool)), _u1987), _u1988))) | hBOOL(hAPP(hAPP(c_member(_u1985), _u1986), _u1987)) )).
% 39.89/40.12 cnf(matrix-1573, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1985), _u1986), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1985, tc_HOL_Obool)), _u1987), _u1988))) | hBOOL(hAPP(hAPP(c_member(_u1985), _u1986), _u1988)) )).
% 39.89/40.12 cnf(matrix-1574, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1989), _u1990), _u1991)) | hBOOL(hAPP(hAPP(c_member(_u1989), _u1990), _u1992)) | hBOOL(hAPP(hAPP(c_member(_u1989), _u1990), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1989, tc_HOL_Obool)), _u1991), _u1992))) )).
% 39.89/40.12 cnf(matrix-1575, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1993), _u1994), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1993, tc_HOL_Obool)), _u1995), _u1996))) | hBOOL(hAPP(hAPP(c_member(_u1993), _u1994), _u1995)) )).
% 39.89/40.12 cnf(matrix-1576, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1993), _u1994), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1993, tc_HOL_Obool)), _u1995), _u1996))) | ~hBOOL(hAPP(hAPP(c_member(_u1993), _u1994), _u1996)) )).
% 39.89/40.12 cnf(matrix-1577, plain, ( ~class_Lattices_Osemilattice__inf(_u1997) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1997), _u1998), _u1998) = _u1998) )).
% 39.89/40.12 cnf(matrix-1578, plain, ( ~class_Lattices_Osemilattice__inf(_u1999) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1999), _u2000), _u2000) = _u2000) )).
% 39.89/40.12 cnf(matrix-1579, plain, ( ~class_Groups_Ominus(_u2001) | ( hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2002, _u2001)), _u2003), _u2004), _u2005) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2001), hAPP(_u2003, _u2005)), hAPP(_u2004, _u2005))) )).
% 39.89/40.12 cnf(matrix-1580, plain, ( ~class_Lattices_Olattice(_u2006) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2007, _u2006)), _u2008), _u2009), _u2010) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2006), hAPP(_u2008, _u2010)), hAPP(_u2009, _u2010))) )).
% 39.89/40.12 cnf(matrix-1581, plain, ( ~class_Lattices_Osemilattice__inf(_u2011) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2011), _u2012), _u2013) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2011), _u2013), _u2012)) )).
% 39.89/40.12 cnf(matrix-1582, plain, ( ~class_Lattices_Olattice(_u2014) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2014), _u2015), _u2016) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2014), _u2016), _u2015)) )).
% 39.89/40.12 cnf(matrix-1583, plain, ( ~class_Lattices_Osemilattice__inf(_u2017) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2017), _u2018), _u2019) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2017), _u2019), _u2018)) )).
% 39.89/40.12 cnf(matrix-1584, plain, ( ~class_Lattices_Osemilattice__inf(_u2020) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2020), _u2021), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2020), _u2021), _u2022)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2020), _u2021), _u2022)) )).
% 39.89/40.12 cnf(matrix-1585, plain, ( ~class_Lattices_Olattice(_u2023) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2023), _u2024), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2023), _u2024), _u2025)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2023), _u2024), _u2025)) )).
% 39.89/40.12 cnf(matrix-1586, plain, ( ~class_Lattices_Osemilattice__inf(_u2026) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2026), _u2027), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2026), _u2027), _u2028)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2026), _u2027), _u2028)) )).
% 39.89/40.12 cnf(matrix-1587, plain, ( ~class_Lattices_Osemilattice__inf(_u2029) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2029), _u2030), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2029), _u2031), _u2032)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2029), _u2031), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2029), _u2030), _u2032))) )).
% 39.89/40.12 cnf(matrix-1588, plain, ( ~class_Lattices_Olattice(_u2033) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2033), _u2034), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2033), _u2035), _u2036)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2033), _u2035), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2033), _u2034), _u2036))) )).
% 39.89/40.12 cnf(matrix-1589, plain, ( ~class_Lattices_Osemilattice__inf(_u2037) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2037), _u2038), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2037), _u2039), _u2040)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2037), _u2039), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2037), _u2038), _u2040))) )).
% 39.89/40.12 cnf(matrix-1590, plain, ( ~class_Lattices_Osemilattice__inf(_u2041) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2041), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2041), _u2042), _u2043)), _u2044) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2041), _u2042), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2041), _u2043), _u2044))) )).
% 39.89/40.12 cnf(matrix-1591, plain, ( ~class_Lattices_Olattice(_u2045) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2045), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2045), _u2046), _u2047)), _u2048) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2045), _u2046), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2045), _u2047), _u2048))) )).
% 39.89/40.12 cnf(matrix-1592, plain, ( ~class_Lattices_Osemilattice__inf(_u2049) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2049), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2049), _u2050), _u2051)), _u2052) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2049), _u2050), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2049), _u2051), _u2052))) )).
% 39.89/40.12 cnf(matrix-1593, plain, ( ~class_Groups_Ominus(_u2053) | ( hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2054, _u2053)), _u2055), _u2056), _u2057) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2053), hAPP(_u2055, _u2057)), hAPP(_u2056, _u2057))) )).
% 39.89/40.12 cnf(matrix-1594, plain, ( ~class_Lattices_Olattice(_u2058) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2059, _u2058)), _u2060), _u2061), _u2062) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2058), hAPP(_u2060, _u2062)), hAPP(_u2061, _u2062))) )).
% 39.89/40.12 cnf(matrix-1595, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2063, tc_HOL_Obool)), _u2064), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2063, tc_HOL_Obool)), _u2065), _u2064)) = c_Orderings_Obot__class_Obot(tc_fun(_u2063, tc_HOL_Obool))) )).
% 39.89/40.12 cnf(matrix-1596, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2066, tc_HOL_Obool)), _u2067), _u2068) != c_Orderings_Obot__class_Obot(tc_fun(_u2066, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2066, tc_HOL_Obool)), _u2067), _u2068) = _u2067) )).
% 39.89/40.12 cnf(matrix-1597, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2069, tc_HOL_Obool)), _u2070), _u2070) = _u2070) )).
% 39.89/40.12 cnf(matrix-1598, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2071, tc_HOL_Obool)), _u2072), _u2073) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2071, tc_HOL_Obool)), _u2073), _u2072)) )).
% 39.89/40.12 cnf(matrix-1599, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2074, tc_HOL_Obool)), _u2075), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2074, tc_HOL_Obool)), _u2075), _u2076)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2074, tc_HOL_Obool)), _u2075), _u2076)) )).
% 39.89/40.12 cnf(matrix-1600, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2077, tc_HOL_Obool)), _u2078), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2077, tc_HOL_Obool)), _u2079), _u2080)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2077, tc_HOL_Obool)), _u2079), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2077, tc_HOL_Obool)), _u2078), _u2080))) )).
% 39.89/40.12 cnf(matrix-1601, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2081, tc_HOL_Obool)), _u2082), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2081, tc_HOL_Obool)), _u2083), _u2084)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2081, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2081, tc_HOL_Obool)), _u2082), _u2083)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2081, tc_HOL_Obool)), _u2082), _u2084))) )).
% 39.89/40.12 cnf(matrix-1602, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2085, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2085, tc_HOL_Obool)), _u2086), _u2087)), _u2087) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2085, tc_HOL_Obool)), _u2086), _u2087)) )).
% 39.89/40.12 cnf(matrix-1603, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2088, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2088, tc_HOL_Obool)), _u2089), _u2090)), _u2091) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2088, tc_HOL_Obool)), _u2089), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2088, tc_HOL_Obool)), _u2090), _u2091))) )).
% 39.89/40.12 cnf(matrix-1604, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2092, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2092, tc_HOL_Obool)), _u2093), _u2094)), _u2095) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2092, tc_HOL_Obool)), _u2093), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2092, tc_HOL_Obool)), _u2094), _u2095))) )).
% 39.89/40.12 cnf(matrix-1605, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2096, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2096, tc_HOL_Obool)), _u2097), _u2098)), _u2099) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2096, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2096, tc_HOL_Obool)), _u2097), _u2099)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2096, tc_HOL_Obool)), _u2098), _u2099))) )).
% 39.89/40.12 cnf(matrix-1606, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2100, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2100, tc_HOL_Obool)), _u2101), _u2102)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2100, tc_HOL_Obool)), _u2103), _u2102)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2100, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2100, tc_HOL_Obool)), _u2101), _u2102)), _u2103)) )).
% 39.89/40.12 cnf(matrix-1607, plain, ( ~class_Lattices_Olattice(_u2104) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2104), _u2105), _u2105) = _u2105) )).
% 39.89/40.12 cnf(matrix-1608, plain, ( hBOOL(hAPP(_u2107, _u2109)) | ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2106, tc_HOL_Obool)), _u2107), _u2108), _u2109)) )).
% 39.89/40.12 cnf(matrix-1609, plain, ( hBOOL(hAPP(_u2112, _u2113)) | ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2110, tc_HOL_Obool)), _u2111), _u2112), _u2113)) )).
% 39.89/40.12 cnf(matrix-1610, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2114, tc_HOL_Obool)), _u2115), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2114, tc_HOL_Obool)), _u2116), _u2117)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2114, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2114, tc_HOL_Obool)), _u2115), _u2116)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2114, tc_HOL_Obool)), _u2115), _u2117))) )).
% 39.89/40.12 cnf(matrix-1611, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2118, tc_HOL_Obool)), _u2119), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2118, tc_HOL_Obool)), _u2120), _u2121)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2118, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2118, tc_HOL_Obool)), _u2119), _u2120)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2118, tc_HOL_Obool)), _u2119), _u2121))) )).
% 39.89/40.12 cnf(matrix-1612, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2122, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2122, tc_HOL_Obool)), _u2123), _u2124)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2122, tc_HOL_Obool)), _u2123), _u2124)) = _u2123) )).
% 39.89/40.12 cnf(matrix-1613, plain, ( ( hAPP(c_Set_OPow(_u2125), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2125, tc_HOL_Obool)), _u2126), _u2127)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(_u2125, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u2125), _u2126)), hAPP(c_Set_OPow(_u2125), _u2127))) )).
% 39.89/40.12 cnf(matrix-1614, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2128) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2128), _u2129), hAPP(_u2130, _u2129))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2128), _u2129), c_Inductive_Ocomplete__lattice__class_Ogfp(_u2128, _u2130))) )).
% 39.89/40.12 cnf(matrix-1615, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2131) | ( _u2132 != c_Inductive_Ocomplete__lattice__class_Ogfp(_u2131, _u2133)) | ~c_Orderings_Oorder__class_Omono(_u2131, _u2131, _u2133) | ( _u2132 = hAPP(_u2133, _u2132)) )).
% 39.89/40.12 cnf(matrix-1616, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2134) | ~c_Orderings_Oorder__class_Omono(_u2134, _u2134, _u2135) | ( c_Inductive_Ocomplete__lattice__class_Ogfp(_u2134, _u2135) = hAPP(_u2135, c_Inductive_Ocomplete__lattice__class_Ogfp(_u2134, _u2135))) )).
% 39.89/40.12 cnf(matrix-1617, plain, ( ~class_Lattices_Olattice(_u2136) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2136), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2136), _u2137), _u2138)), _u2137)) )).
% 39.89/40.12 cnf(matrix-1618, plain, ( ~class_Lattices_Osemilattice__inf(_u2139) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2139), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2139), _u2140), _u2141)), _u2140)) )).
% 39.89/40.12 cnf(matrix-1619, plain, ( ~class_Lattices_Olattice(_u2142) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2142), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2142), _u2143), _u2144)), _u2144)) )).
% 39.89/40.12 cnf(matrix-1620, plain, ( ~class_Lattices_Osemilattice__inf(_u2145) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2145), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2145), _u2146), _u2147)), _u2147)) )).
% 39.89/40.12 cnf(matrix-1621, plain, ( ~class_Lattices_Osemilattice__inf(_u2148) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2148), _u2149), _u2150)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2148), _u2149), _u2150) = _u2149) )).
% 39.89/40.12 cnf(matrix-1622, plain, ( ~class_Lattices_Osemilattice__inf(_u2148) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2148), _u2149), _u2150) != _u2149) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2148), _u2149), _u2150)) )).
% 39.89/40.12 cnf(matrix-1623, plain, ( ~class_Lattices_Osemilattice__inf(_u2151) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2151), _u2152), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2151), _u2153), _u2154))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2151), _u2152), _u2153)) )).
% 39.89/40.12 cnf(matrix-1624, plain, ( ~class_Lattices_Osemilattice__inf(_u2151) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2151), _u2152), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2151), _u2153), _u2154))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2151), _u2152), _u2154)) )).
% 39.89/40.12 cnf(matrix-1625, plain, ( ~class_Lattices_Osemilattice__inf(_u2151) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2151), _u2152), _u2153)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2151), _u2152), _u2154)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2151), _u2152), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2151), _u2153), _u2154))) )).
% 39.89/40.12 cnf(matrix-1626, plain, ( ~class_Lattices_Osemilattice__inf(_u2155) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2155), _u2156), _u2157)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2155), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2155), _u2156), _u2158)), _u2157)) )).
% 39.89/40.12 cnf(matrix-1627, plain, ( ~class_Lattices_Osemilattice__inf(_u2159) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2159), _u2160), _u2161)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2159), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2159), _u2162), _u2160)), _u2161)) )).
% 39.89/40.12 cnf(matrix-1628, plain, ( ~class_Lattices_Osemilattice__inf(_u2163) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2163), _u2164), _u2165)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2163), _u2164), _u2165) = _u2164) )).
% 39.89/40.12 cnf(matrix-1629, plain, ( ~class_Lattices_Osemilattice__inf(_u2166) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2166), _u2167), _u2168)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2166), _u2168), _u2167) = _u2167) )).
% 39.89/40.12 cnf(matrix-1630, plain, ( ~class_Lattices_Osemilattice__inf(_u2169) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2169), _u2170), _u2171)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2169), _u2170), _u2172)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2169), _u2170), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2169), _u2171), _u2172))) )).
% 39.89/40.12 cnf(matrix-1631, plain, ( ~class_Lattices_Osemilattice__inf(_u2173) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2173), _u2174), _u2175)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2173), _u2174), _u2176)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2173), _u2174), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2173), _u2175), _u2176))) )).
% 39.89/40.12 cnf(matrix-1632, plain, ( ~class_Lattices_Osemilattice__inf(_u2177) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2177), _u2178), _u2179)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2177), _u2180), _u2181)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2177), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2177), _u2178), _u2180)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2177), _u2179), _u2181))) )).
% 39.89/40.12 cnf(matrix-1633, plain, ( ~class_Lattices_Osemilattice__inf(_u2182) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2182), _u2183), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2182), _u2184), _u2185))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2182), _u2183), _u2184)) )).
% 39.89/40.12 cnf(matrix-1634, plain, ( ~class_Lattices_Osemilattice__inf(_u2182) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2182), _u2183), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2182), _u2184), _u2185))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2182), _u2183), _u2185)) )).
% 39.89/40.12 cnf(matrix-1635, plain, ( ~class_Lattices_Obounded__lattice__bot(_u2186) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2186), c_Orderings_Obot__class_Obot(_u2186)), _u2187) = c_Orderings_Obot__class_Obot(_u2186)) )).
% 39.89/40.12 cnf(matrix-1636, plain, ( ~class_Lattices_Obounded__lattice__bot(_u2188) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2188), _u2189), c_Orderings_Obot__class_Obot(_u2188)) = c_Orderings_Obot__class_Obot(_u2188)) )).
% 39.89/40.12 cnf(matrix-1637, plain, ( ~class_Lattices_Odistrib__lattice(_u2190) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2190), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2190), _u2191), _u2192)), _u2193) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2190), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2190), _u2191), _u2193)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2190), _u2192), _u2193))) )).
% 39.89/40.12 cnf(matrix-1638, plain, ( ~class_Lattices_Odistrib__lattice(_u2194) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2194), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2194), _u2195), _u2196)), _u2197) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2194), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2194), _u2195), _u2197)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2194), _u2196), _u2197))) )).
% 39.89/40.12 cnf(matrix-1639, plain, ( ~class_Lattices_Odistrib__lattice(_u2198) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2198), _u2199), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2198), _u2200), _u2201)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2198), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2198), _u2199), _u2200)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2198), _u2199), _u2201))) )).
% 39.89/40.12 cnf(matrix-1640, plain, ( ~class_Lattices_Odistrib__lattice(_u2202) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2202), _u2203), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2202), _u2204), _u2205)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2202), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2202), _u2203), _u2204)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2202), _u2203), _u2205))) )).
% 39.89/40.12 cnf(matrix-1641, plain, ( ~class_Lattices_Olattice(_u2206) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2206), _u2207), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2206), _u2207), _u2208)) = _u2207) )).
% 39.89/40.12 cnf(matrix-1642, plain, ( ~class_Lattices_Olattice(_u2209) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2209), _u2210), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2209), _u2210), _u2211)) = _u2210) )).
% 39.89/40.12 cnf(matrix-1643, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2216), _u2218), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2216, tc_HOL_Obool)), _u2220), _u2222))) | hBOOL(hAPP(hAPP(c_member(_u2216), _u2218), _u2220)) )).
% 39.89/40.12 cnf(matrix-1644, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2216), _u2218), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2216, tc_HOL_Obool)), _u2220), _u2222))) | ~hBOOL(hAPP(hAPP(c_member(_u2216), _u2218), _u2222)) )).
% 39.89/40.12 cnf(matrix-1645, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2217), _u2219), _u2221)) | hBOOL(hAPP(hAPP(c_member(_u2217), _u2219), _u2223)) | hBOOL(hAPP(hAPP(c_member(_u2217), _u2219), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2217, tc_HOL_Obool)), _u2221), _u2223))) )).
% 39.89/40.12 cnf(matrix-1646, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2224), _u2225), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2224, tc_HOL_Obool)), _u2226), _u2227))) | hBOOL(hAPP(hAPP(c_member(_u2224), _u2225), _u2226)) )).
% 39.89/40.12 cnf(matrix-1647, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2228), _u2229), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2228, tc_HOL_Obool)), _u2230), _u2231))) | ~hBOOL(hAPP(hAPP(c_member(_u2228), _u2229), _u2231)) )).
% 39.89/40.12 cnf(matrix-1648, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2236), _u2238), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2236, tc_HOL_Obool)), _u2240), _u2242))) | hBOOL(hAPP(hAPP(c_member(_u2236), _u2238), _u2240)) )).
% 39.89/40.12 cnf(matrix-1649, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2236), _u2238), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2236, tc_HOL_Obool)), _u2240), _u2242))) | hBOOL(hAPP(hAPP(c_member(_u2236), _u2238), _u2242)) )).
% 39.89/40.12 cnf(matrix-1650, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2237), _u2239), _u2241)) | ~hBOOL(hAPP(hAPP(c_member(_u2237), _u2239), _u2243)) | hBOOL(hAPP(hAPP(c_member(_u2237), _u2239), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2237, tc_HOL_Obool)), _u2241), _u2243))) )).
% 39.89/40.12 cnf(matrix-1651, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2244), _u2245), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2244, tc_HOL_Obool)), _u2246), _u2247))) | hBOOL(hAPP(hAPP(c_member(_u2244), _u2245), _u2246)) )).
% 39.89/40.12 cnf(matrix-1652, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2248), _u2249), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2248, tc_HOL_Obool)), _u2250), _u2251))) | hBOOL(hAPP(hAPP(c_member(_u2248), _u2249), _u2251)) )).
% 39.89/40.12 cnf(matrix-1653, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2252, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u2252, tc_HOL_Obool))), _u2253) = c_Orderings_Obot__class_Obot(tc_fun(_u2252, tc_HOL_Obool))) )).
% 39.89/40.12 cnf(matrix-1654, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2254, tc_HOL_Obool)), _u2255), c_Orderings_Obot__class_Obot(tc_fun(_u2254, tc_HOL_Obool))) = _u2255) )).
% 39.89/40.12 cnf(matrix-1655, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2256, tc_HOL_Obool)), _u2257), _u2257) = c_Orderings_Obot__class_Obot(tc_fun(_u2256, tc_HOL_Obool))) )).
% 39.89/40.12 cnf(matrix-1656, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2258, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u2258, tc_HOL_Obool))), _u2259) = c_Orderings_Obot__class_Obot(tc_fun(_u2258, tc_HOL_Obool))) )).
% 39.89/40.12 cnf(matrix-1657, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2260, tc_HOL_Obool)), _u2261), c_Orderings_Obot__class_Obot(tc_fun(_u2260, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u2260, tc_HOL_Obool))) )).
% 39.89/40.12 cnf(matrix-1658, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2269, tc_HOL_Obool)), _u2271), _u2273) != c_Orderings_Obot__class_Obot(tc_fun(_u2269, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u2269), _u2263), _u2271)) | ~hBOOL(hAPP(hAPP(c_member(_u2269), _u2262), _u2273)) | ( _u2263 != _u2262) )).
% 39.89/40.12 cnf(matrix-1659, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2270, tc_HOL_Obool)), _u2272), _u2274) = c_Orderings_Obot__class_Obot(tc_fun(_u2270, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u2270), skolem52(_u2274, _u2272, _u2270)), _u2272)) )).
% 39.89/40.12 cnf(matrix-1660, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2270, tc_HOL_Obool)), _u2272), _u2274) = c_Orderings_Obot__class_Obot(tc_fun(_u2270, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u2270), skolem53(_u2274, _u2272, _u2270)), _u2274)) )).
% 39.89/40.12 cnf(matrix-1661, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2270, tc_HOL_Obool)), _u2272), _u2274) = c_Orderings_Obot__class_Obot(tc_fun(_u2270, tc_HOL_Obool))) | ( skolem52(_u2274, _u2272, _u2270) = skolem53(_u2274, _u2272, _u2270)) )).
% 39.89/40.12 cnf(matrix-1662, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2275, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2275, tc_HOL_Obool)), _u2276), _u2277)), _u2276)) )).
% 39.89/40.12 cnf(matrix-1663, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2278, tc_HOL_Obool)), _u2279), _u2280)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2278, tc_HOL_Obool)), _u2281), _u2282)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2278, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2278, tc_HOL_Obool)), _u2279), _u2282)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2278, tc_HOL_Obool)), _u2280), _u2281))) )).
% 39.89/40.12 cnf(matrix-1664, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2283, tc_HOL_Obool)), _u2284), _u2285)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2283, tc_HOL_Obool)), _u2285), _u2286)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2283, tc_HOL_Obool)), _u2285), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2283, tc_HOL_Obool)), _u2286), _u2284)) = _u2284) )).
% 39.89/40.12 cnf(matrix-1665, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2287, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u2287), _u2288), _u2289)), hAPP(hAPP(c_Set_Oinsert(_u2287), _u2288), _u2290)) = hAPP(hAPP(c_Set_Oinsert(_u2287), _u2288), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2287, tc_HOL_Obool)), _u2289), _u2290))) )).
% 39.89/40.12 cnf(matrix-1666, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2291, tc_HOL_Obool)), _u2292), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2291, tc_HOL_Obool)), _u2293), _u2292)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2291, tc_HOL_Obool)), _u2292), _u2293)) )).
% 39.89/40.12 cnf(matrix-1667, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2294, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2294, tc_HOL_Obool)), _u2295), _u2296)), _u2296) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2294, tc_HOL_Obool)), _u2295), _u2296)) )).
% 39.89/40.12 cnf(matrix-1668, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2297, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2297, tc_HOL_Obool)), _u2298), _u2299)), _u2300) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2297, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2297, tc_HOL_Obool)), _u2298), _u2300)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2297, tc_HOL_Obool)), _u2299), _u2300))) )).
% 39.89/40.12 cnf(matrix-1669, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2301, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2301, tc_HOL_Obool)), _u2302), _u2303)), _u2302)) )).
% 39.89/40.12 cnf(matrix-1670, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2304, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2304, tc_HOL_Obool)), _u2305), _u2306)), _u2306)) )).
% 39.89/40.12 cnf(matrix-1671, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2307, tc_HOL_Obool)), _u2308), _u2309)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2307, tc_HOL_Obool)), _u2308), _u2309) = _u2308) )).
% 39.89/40.12 cnf(matrix-1672, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2310, tc_HOL_Obool)), _u2311), _u2312)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2310, tc_HOL_Obool)), _u2312), _u2311) = _u2311) )).
% 39.89/40.12 cnf(matrix-1673, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2313, tc_HOL_Obool)), _u2314), _u2315)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2313, tc_HOL_Obool)), _u2314), _u2316)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2313, tc_HOL_Obool)), _u2314), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2313, tc_HOL_Obool)), _u2315), _u2316))) )).
% 39.89/40.12 cnf(matrix-1674, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2317, tc_HOL_Obool)), _u2318), _u2319)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2317, tc_HOL_Obool)), _u2320), _u2321)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2317, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2317, tc_HOL_Obool)), _u2318), _u2320)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2317, tc_HOL_Obool)), _u2319), _u2321))) )).
% 39.89/40.12 cnf(matrix-1675, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2322, tc_HOL_Obool)), _u2323), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2322, tc_HOL_Obool)), _u2324), _u2325)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2322, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2322, tc_HOL_Obool)), _u2323), _u2324)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2322, tc_HOL_Obool)), _u2323), _u2325))) )).
% 39.89/40.12 cnf(matrix-1676, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2326, tc_HOL_Obool)), _u2327), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2326, tc_HOL_Obool)), _u2328), _u2329)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2326, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2326, tc_HOL_Obool)), _u2327), _u2328)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2326, tc_HOL_Obool)), _u2327), _u2329))) )).
% 39.89/40.12 cnf(matrix-1677, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2330, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2330, tc_HOL_Obool)), _u2331), _u2332)), _u2333) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2330, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2330, tc_HOL_Obool)), _u2331), _u2333)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2330, tc_HOL_Obool)), _u2332), _u2333))) )).
% 39.89/40.12 cnf(matrix-1678, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2334, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2334, tc_HOL_Obool)), _u2335), _u2336)), _u2337) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2334, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2334, tc_HOL_Obool)), _u2335), _u2337)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2334, tc_HOL_Obool)), _u2336), _u2337))) )).
% 39.89/40.12 cnf(matrix-1679, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2338, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2338, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2338, tc_HOL_Obool)), _u2339), _u2340)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2338, tc_HOL_Obool)), _u2340), _u2341))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2338, tc_HOL_Obool)), _u2341), _u2339)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2338, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2338, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2338, tc_HOL_Obool)), _u2339), _u2340)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2338, tc_HOL_Obool)), _u2340), _u2341))), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2338, tc_HOL_Obool)), _u2341), _u2339))) )).
% 39.89/40.12 cnf(matrix-1680, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2346, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u2346, tc_fun(_u2346, tc_HOL_Obool), tc_HOL_Obool), c_member(_u2346)), _u2348)), hAPP(hAPP(c_COMBC(_u2346, tc_fun(_u2346, tc_HOL_Obool), tc_HOL_Obool), c_member(_u2346)), _u2350)), _u2352)) | hBOOL(hAPP(hAPP(c_member(_u2346), _u2352), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2346, tc_HOL_Obool)), _u2348), _u2350))) )).
% 39.89/40.12 cnf(matrix-1681, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2347), _u2353), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2347, tc_HOL_Obool)), _u2349), _u2351))) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2347, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u2347, tc_fun(_u2347, tc_HOL_Obool), tc_HOL_Obool), c_member(_u2347)), _u2349)), hAPP(hAPP(c_COMBC(_u2347, tc_fun(_u2347, tc_HOL_Obool), tc_HOL_Obool), c_member(_u2347)), _u2351)), _u2353)) )).
% 39.89/40.12 cnf(matrix-1682, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2354), _u2355), _u2356)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2354, tc_HOL_Obool)), _u2356), hAPP(_u2357, _u2356))) | hBOOL(hAPP(hAPP(c_member(_u2354), _u2355), c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u2354, tc_HOL_Obool), _u2357))) )).
% 39.89/40.12 cnf(matrix-1683, plain, ( ( hAPP(c_Set_OCollect(_u2358), hAPP(hAPP(c_COMBS(_u2358, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u2358), c_fconj), _u2359)), _u2360)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2358, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u2358), _u2359)), hAPP(c_Set_OCollect(_u2358), _u2360))) )).
% 39.89/40.12 cnf(matrix-1684, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2361) | ~c_Orderings_Oorder__class_Omono(_u2361, _u2361, _u2362) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2361), hAPP(_u2362, c_Inductive_Ocomplete__lattice__class_Ogfp(_u2361, _u2362))), c_Inductive_Ocomplete__lattice__class_Ogfp(_u2361, _u2362))) )).
% 39.89/40.12 cnf(matrix-1685, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2363) | ~c_Orderings_Oorder__class_Omono(_u2363, _u2363, _u2364) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2363), c_Inductive_Ocomplete__lattice__class_Ogfp(_u2363, _u2364)), hAPP(_u2364, c_Inductive_Ocomplete__lattice__class_Ogfp(_u2363, _u2364)))) )).
% 39.89/40.12 cnf(matrix-1686, plain, ( ~class_Lattices_Olattice(_u2365) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2365), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2365), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2365), _u2366), _u2367)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2365), _u2366), _u2368))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2365), _u2366), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2365), _u2367), _u2368)))) )).
% 39.89/40.12 cnf(matrix-1687, plain, ( ~class_Lattices_Olattice(_u2369) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2369), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2369), _u2370), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2369), _u2371), _u2372))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2369), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2369), _u2370), _u2371)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2369), _u2370), _u2372)))) )).
% 39.89/40.12 cnf(matrix-1688, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2373), _u2374), _u2375)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2373, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u2373), _u2374), _u2376)), _u2375) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2373, tc_HOL_Obool)), _u2376), _u2375)) )).
% 39.89/40.12 cnf(matrix-1689, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2381), _u2383), _u2385)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2381, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u2381), _u2383), _u2387)), _u2385) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2381, tc_HOL_Obool)), _u2387), _u2385)) )).
% 39.89/40.12 cnf(matrix-1690, plain, ( hBOOL(hAPP(hAPP(c_member(_u2382), _u2384), _u2386)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2382, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u2382), _u2384), _u2388)), _u2386) = hAPP(hAPP(c_Set_Oinsert(_u2382), _u2384), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2382, tc_HOL_Obool)), _u2388), _u2386))) )).
% 39.89/40.12 cnf(matrix-1691, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2389, tc_HOL_Obool)), _u2390), hAPP(hAPP(c_Set_Oinsert(_u2389), _u2391), _u2392)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2389, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2389, tc_HOL_Obool)), _u2390), _u2392)), hAPP(hAPP(c_Set_Oinsert(_u2389), _u2391), c_Orderings_Obot__class_Obot(tc_fun(_u2389, tc_HOL_Obool))))) )).
% 39.89/40.12 cnf(matrix-1692, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2393, tc_HOL_Obool)), _u2394), hAPP(hAPP(c_Set_Oinsert(_u2393), _u2395), _u2396)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2393, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2393, tc_HOL_Obool)), _u2394), hAPP(hAPP(c_Set_Oinsert(_u2393), _u2395), c_Orderings_Obot__class_Obot(tc_fun(_u2393, tc_HOL_Obool))))), _u2396)) )).
% 39.89/40.12 cnf(matrix-1693, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u2397), _u2398), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2397, tc_HOL_Obool)), _u2399), hAPP(hAPP(c_Set_Oinsert(_u2397), _u2398), c_Orderings_Obot__class_Obot(tc_fun(_u2397, tc_HOL_Obool))))) = hAPP(hAPP(c_Set_Oinsert(_u2397), _u2398), _u2399)) )).
% 39.89/40.12 cnf(matrix-1694, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2400), _u2401), _u2402)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2400, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u2400), _u2401), _u2403)), _u2402) = hAPP(hAPP(c_Set_Oinsert(_u2400), _u2401), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2400, tc_HOL_Obool)), _u2403), _u2402))) )).
% 39.89/40.12 cnf(matrix-1695, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2404), _u2405), _u2406)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2404, tc_HOL_Obool)), _u2406), hAPP(hAPP(c_Set_Oinsert(_u2404), _u2405), _u2407)) = hAPP(hAPP(c_Set_Oinsert(_u2404), _u2405), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2404, tc_HOL_Obool)), _u2406), _u2407))) )).
% 39.89/40.12 cnf(matrix-1696, plain, ( hBOOL(hAPP(hAPP(c_member(_u2408), _u2409), _u2410)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2408, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u2408), _u2409), _u2411)), _u2410) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2408, tc_HOL_Obool)), _u2411), _u2410)) )).
% 39.89/40.12 cnf(matrix-1697, plain, ( hBOOL(hAPP(hAPP(c_member(_u2412), _u2413), _u2414)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2412, tc_HOL_Obool)), _u2414), hAPP(hAPP(c_Set_Oinsert(_u2412), _u2413), _u2415)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2412, tc_HOL_Obool)), _u2414), _u2415)) )).
% 39.89/40.12 cnf(matrix-1698, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2420), _u2422), _u2424)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2420, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u2420), _u2422), _u2426)), _u2424) = hAPP(hAPP(c_Set_Oinsert(_u2420), _u2422), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2420, tc_HOL_Obool)), _u2426), _u2424))) )).
% 39.89/40.12 cnf(matrix-1699, plain, ( hBOOL(hAPP(hAPP(c_member(_u2421), _u2423), _u2425)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2421, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u2421), _u2423), _u2427)), _u2425) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2421, tc_HOL_Obool)), _u2427), _u2425)) )).
% 39.89/40.12 cnf(matrix-1700, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2432), _u2434), _u2436)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2432, tc_HOL_Obool)), _u2436), hAPP(hAPP(c_Set_Oinsert(_u2432), _u2434), _u2438)) = hAPP(hAPP(c_Set_Oinsert(_u2432), _u2434), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2432, tc_HOL_Obool)), _u2436), _u2438))) )).
% 39.89/40.12 cnf(matrix-1701, plain, ( hBOOL(hAPP(hAPP(c_member(_u2433), _u2435), _u2437)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2433, tc_HOL_Obool)), _u2437), hAPP(hAPP(c_Set_Oinsert(_u2433), _u2435), _u2439)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2433, tc_HOL_Obool)), _u2437), _u2439)) )).
% 39.89/40.12 cnf(matrix-1702, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2440, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2440, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u2441, _u2440, _u2442), _u2443)), hAPP(c_Set_Oimage(_u2441, _u2440, _u2442), _u2444))), hAPP(c_Set_Oimage(_u2441, _u2440, _u2442), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2441, tc_HOL_Obool)), _u2443), _u2444)))) )).
% 39.89/40.12 cnf(matrix-1703, plain, ( ~class_Lattices_Osemilattice__inf(_u2445) | ~class_Lattices_Osemilattice__inf(_u2446) | ~c_Orderings_Oorder__class_Omono(_u2446, _u2445, _u2447) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2445), hAPP(_u2447, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2446), _u2448), _u2449))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2445), hAPP(_u2447, _u2448)), hAPP(_u2447, _u2449)))) )).
% 39.89/40.12 cnf(matrix-1704, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2450, tc_HOL_Obool)), _u2451), _u2452)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2450, tc_HOL_Obool)), _u2451), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2450, tc_HOL_Obool)), _u2452), _u2451)) = _u2452) )).
% 39.89/40.12 cnf(matrix-1705, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2457, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2457, tc_HOL_Obool)), _u2459), _u2461)), _u2463)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2457, tc_HOL_Obool)), _u2459), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2457, tc_HOL_Obool)), _u2461), _u2463))) )).
% 39.89/40.12 cnf(matrix-1706, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2458, tc_HOL_Obool)), _u2460), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2458, tc_HOL_Obool)), _u2462), _u2464))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2458, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2458, tc_HOL_Obool)), _u2460), _u2462)), _u2464)) )).
% 39.89/40.12 cnf(matrix-1707, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2465, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u2466, _u2465, _u2467), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2466, tc_HOL_Obool)), _u2468), _u2469))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2465, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u2466, _u2465, _u2467), _u2468)), hAPP(c_Set_Oimage(_u2466, _u2465, _u2467), _u2469)))) )).
% 39.89/40.12 cnf(matrix-1708, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2474, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2474, tc_HOL_Obool)), _u2476), _u2478)), _u2480) != hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2474, tc_HOL_Obool)), _u2476), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2474, tc_HOL_Obool)), _u2478), _u2480))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2474, tc_HOL_Obool)), _u2480), _u2476)) )).
% 39.89/40.12 cnf(matrix-1709, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2475, tc_HOL_Obool)), _u2481), _u2477)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2475, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2475, tc_HOL_Obool)), _u2477), _u2479)), _u2481) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2475, tc_HOL_Obool)), _u2477), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2475, tc_HOL_Obool)), _u2479), _u2481))) )).
% 39.89/40.12 cnf(matrix-1710, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2482), _u2483), _u2484)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2485, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u2482, _u2485, _u2486), _u2484)), hAPP(_u2487, hAPP(c_Set_Oimage(_u2482, _u2485, _u2486), _u2484)))) | hBOOL(hAPP(hAPP(c_member(_u2485), hAPP(_u2486, _u2483)), c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u2485, tc_HOL_Obool), _u2487))) )).
% 39.89/40.12 cnf(matrix-1711, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2488, tc_HOL_Obool)), _u2489), _u2490) = hAPP(c_Set_OCollect(_u2488), hAPP(hAPP(c_COMBS(_u2488, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u2488), c_fconj), hAPP(hAPP(c_COMBC(_u2488, tc_fun(_u2488, tc_HOL_Obool), tc_HOL_Obool), c_member(_u2488)), _u2489))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u2488), c_fNot), hAPP(hAPP(c_COMBC(_u2488, tc_fun(_u2488, tc_HOL_Obool), tc_HOL_Obool), c_member(_u2488)), _u2490))))) )).
% 39.89/40.12 cnf(matrix-1712, plain, ( ~c_Orderings_Oorder__class_Omono(tc_fun(_u2491, tc_HOL_Obool), tc_fun(_u2492, tc_HOL_Obool), _u2493) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2492, tc_HOL_Obool)), hAPP(_u2493, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2491, tc_HOL_Obool)), _u2494), _u2495))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2492, tc_HOL_Obool)), hAPP(_u2493, _u2494)), hAPP(_u2493, _u2495)))) )).
% 39.89/40.12 cnf(matrix-1713, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2496, tc_HOL_Obool)), _u2497), _u2498) = hAPP(c_Set_OCollect(_u2496), hAPP(hAPP(c_COMBS(_u2496, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u2496), c_fconj), hAPP(hAPP(c_COMBC(_u2496, tc_fun(_u2496, tc_HOL_Obool), tc_HOL_Obool), c_member(_u2496)), _u2497))), hAPP(hAPP(c_COMBC(_u2496, tc_fun(_u2496, tc_HOL_Obool), tc_HOL_Obool), c_member(_u2496)), _u2498)))) )).
% 39.89/40.12 cnf(matrix-1714, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2503), _u2505), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2503, tc_HOL_Obool)), _u2507), hAPP(c_Set_OCollect(_u2503), _u2509)))) | hBOOL(hAPP(hAPP(c_member(_u2503), _u2505), _u2507)) )).
% 39.89/40.12 cnf(matrix-1715, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2503), _u2505), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2503, tc_HOL_Obool)), _u2507), hAPP(c_Set_OCollect(_u2503), _u2509)))) | hBOOL(hAPP(_u2509, _u2505)) )).
% 39.89/40.12 cnf(matrix-1716, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2504), _u2506), _u2508)) | ~hBOOL(hAPP(_u2510, _u2506)) | hBOOL(hAPP(hAPP(c_member(_u2504), _u2506), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2504, tc_HOL_Obool)), _u2508), hAPP(c_Set_OCollect(_u2504), _u2510)))) )).
% 39.89/40.12 cnf(matrix-1717, plain, ( ~c_Orderings_Oorder__class_Omono(tc_fun(_u2511, tc_HOL_Obool), tc_fun(_u2511, tc_HOL_Obool), _u2512) | ~hBOOL(hAPP(hAPP(c_member(_u2511), _u2513), c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u2511, tc_HOL_Obool), _u2512))) | hBOOL(hAPP(hAPP(c_member(_u2511), _u2513), hAPP(_u2512, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2511, tc_HOL_Obool)), _u2514), c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u2511, tc_HOL_Obool), _u2512))))) )).
% 39.89/40.12 cnf(matrix-1718, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2515) | ( _u2516 != c_Inductive_Ocomplete__lattice__class_Ogfp(_u2515, _u2517)) | ~c_Orderings_Oorder__class_Omono(_u2515, _u2515, _u2517) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2515), _u2518), hAPP(_u2517, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2515), _u2518), _u2516)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2515), _u2518), _u2516)) )).
% 39.89/40.12 cnf(matrix-1719, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2519) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2519), _u2520), hAPP(_u2521, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2519), _u2520), c_Inductive_Ocomplete__lattice__class_Ogfp(_u2519, _u2521))))) | ~c_Orderings_Oorder__class_Omono(_u2519, _u2519, _u2521) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2519), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2519), _u2520), c_Inductive_Ocomplete__lattice__class_Ogfp(_u2519, _u2521))), hAPP(_u2521, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2519), _u2520), c_Inductive_Ocomplete__lattice__class_Ogfp(_u2519, _u2521))))) )).
% 39.89/40.12 cnf(matrix-1720, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2522) | ~c_Orderings_Oorder__class_Omono(_u2522, _u2522, _u2523) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2522), _u2524), hAPP(_u2523, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2522), _u2524), c_Inductive_Ocomplete__lattice__class_Ogfp(_u2522, _u2523))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2522), _u2524), c_Inductive_Ocomplete__lattice__class_Ogfp(_u2522, _u2523))) )).
% 39.89/40.12 cnf(matrix-1721, plain, ( hBOOL(hAPP(hAPP(c_member(_u2525), _u2526), _u2527)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2525, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u2525), _u2526), _u2527)), hAPP(hAPP(c_Set_Oinsert(_u2525), _u2526), c_Orderings_Obot__class_Obot(tc_fun(_u2525, tc_HOL_Obool)))) = _u2527) )).
% 39.89/40.12 cnf(matrix-1722, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2528), _u2529), _u2530)) | ( hAPP(hAPP(c_Set_Oinsert(_u2528), _u2529), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2528, tc_HOL_Obool)), _u2530), hAPP(hAPP(c_Set_Oinsert(_u2528), _u2529), c_Orderings_Obot__class_Obot(tc_fun(_u2528, tc_HOL_Obool))))) = _u2530) )).
% 39.89/40.12 cnf(matrix-1723, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2534, tc_HOL_Obool)), _u2536), hAPP(hAPP(c_Set_Oinsert(_u2534), _u2538), c_Orderings_Obot__class_Obot(tc_fun(_u2534, tc_HOL_Obool))))) | ( c_Partial__Function_Oflat__lub(_u2534, _u2538, _u2536) = _u2538) )).
% 39.89/40.12 cnf(matrix-1724, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2535, tc_HOL_Obool)), _u2537), hAPP(hAPP(c_Set_Oinsert(_u2535), _u2539), c_Orderings_Obot__class_Obot(tc_fun(_u2535, tc_HOL_Obool))))) | ( c_Partial__Function_Oflat__lub(_u2535, _u2539, _u2537) = c_HOL_OThe(_u2535, hAPP(hAPP(c_COMBC(_u2535, tc_fun(_u2535, tc_HOL_Obool), tc_HOL_Obool), c_member(_u2535)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2535, tc_HOL_Obool)), _u2537), hAPP(hAPP(c_Set_Oinsert(_u2535), _u2539), c_Orderings_Obot__class_Obot(tc_fun(_u2535, tc_HOL_Obool))))))) )).
% 39.89/40.12 cnf(matrix-1725, plain, ( ( _u2540 != c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u2541, tc_HOL_Obool), _u2542)) | ~c_Orderings_Oorder__class_Omono(tc_fun(_u2541, tc_HOL_Obool), tc_fun(_u2541, tc_HOL_Obool), _u2542) | ~hBOOL(hAPP(hAPP(c_member(_u2541), _u2543), _u2544)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2541, tc_HOL_Obool)), _u2544), hAPP(_u2542, c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(_u2541, tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_fun(_u2541, tc_HOL_Obool), tc_fun(_u2541, tc_HOL_Obool), tc_fun(_u2541, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u2541, tc_HOL_Obool), tc_fun(tc_fun(_u2541, tc_HOL_Obool), tc_fun(_u2541, tc_HOL_Obool)), tc_fun(_u2541, tc_HOL_Obool)), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2541, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(tc_fun(_u2541, tc_HOL_Obool), tc_fun(_u2541, tc_HOL_Obool), tc_fun(_u2541, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u2541, tc_HOL_Obool), tc_fun(tc_fun(_u2541, tc_HOL_Obool), tc_fun(_u2541, tc_HOL_Obool)), tc_fun(_u2541, tc_HOL_Obool)), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2541, tc_HOL_Obool))), _u2542)), _u2544))), _u2540))))) | hBOOL(hAPP(hAPP(c_member(_u2541), _u2543), _u2540)) )).
% 39.89/40.12 cnf(matrix-1726, plain, ( ~c_Orderings_Oorder__class_Omono(tc_fun(_u2545, tc_HOL_Obool), tc_fun(_u2545, tc_HOL_Obool), _u2546) | ~hBOOL(hAPP(hAPP(c_member(_u2545), _u2547), _u2548)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2545, tc_HOL_Obool)), _u2548), hAPP(_u2546, c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(_u2545, tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_fun(_u2545, tc_HOL_Obool), tc_fun(_u2545, tc_HOL_Obool), tc_fun(_u2545, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u2545, tc_HOL_Obool), tc_fun(tc_fun(_u2545, tc_HOL_Obool), tc_fun(_u2545, tc_HOL_Obool)), tc_fun(_u2545, tc_HOL_Obool)), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2545, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(tc_fun(_u2545, tc_HOL_Obool), tc_fun(_u2545, tc_HOL_Obool), tc_fun(_u2545, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u2545, tc_HOL_Obool), tc_fun(tc_fun(_u2545, tc_HOL_Obool), tc_fun(_u2545, tc_HOL_Obool)), tc_fun(_u2545, tc_HOL_Obool)), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2545, tc_HOL_Obool))), _u2546)), _u2548))), c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u2545, tc_HOL_Obool), _u2546)))))) | hBOOL(hAPP(hAPP(c_member(_u2545), _u2547), c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u2545, tc_HOL_Obool), _u2546))) )).
% 39.89/40.12 cnf(matrix-1727, plain, ( ( _u2550 != c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u2551, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u2551, tc_HOL_Obool), tc_fun(_u2551, tc_HOL_Obool), tc_fun(_u2551, tc_HOL_Obool)), c_Set_OCollect(_u2551)), _u2552))) | ~c_Orderings_Oorder__class_Omono(tc_fun(_u2551, tc_HOL_Obool), tc_fun(_u2551, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u2551, tc_HOL_Obool), tc_fun(_u2551, tc_HOL_Obool), tc_fun(_u2551, tc_HOL_Obool)), c_Set_OCollect(_u2551)), _u2552)) | ~hBOOL(hAPP(hAPP(c_member(_u2551), _u2553), _u2554)) | hBOOL(hAPP(hAPP(c_member(_u2551), _u2553), _u2550)) | hBOOL(hAPP(hAPP(c_member(_u2551), skolem54(_u2554, _u2553, _u2552, _u2551, _u2550)), _u2554)) )).
% 39.89/40.12 cnf(matrix-1728, plain, ( ( _u2550 != c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u2551, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u2551, tc_HOL_Obool), tc_fun(_u2551, tc_HOL_Obool), tc_fun(_u2551, tc_HOL_Obool)), c_Set_OCollect(_u2551)), _u2552))) | ~c_Orderings_Oorder__class_Omono(tc_fun(_u2551, tc_HOL_Obool), tc_fun(_u2551, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u2551, tc_HOL_Obool), tc_fun(_u2551, tc_HOL_Obool), tc_fun(_u2551, tc_HOL_Obool)), c_Set_OCollect(_u2551)), _u2552)) | ~hBOOL(hAPP(hAPP(c_member(_u2551), _u2553), _u2554)) | hBOOL(hAPP(hAPP(c_member(_u2551), _u2553), _u2550)) | ~hBOOL(hAPP(hAPP(_u2552, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2551, tc_HOL_Obool)), _u2554), _u2550)), skolem54(_u2554, _u2553, _u2552, _u2551, _u2550))) )).
% 39.89/40.12 cnf(matrix-1729, plain, ( ~class_Groups_Oordered__ab__group__add(_u2555) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2555), _u2556), _u2557) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2555), _u2558), _u2559)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2555), _u2556), _u2557)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2555), _u2558), _u2559)) )).
% 39.89/40.12 cnf(matrix-1730, plain, ( ~class_Groups_Oordered__ab__group__add(_u2555) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2555), _u2556), _u2557) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2555), _u2558), _u2559)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2555), _u2558), _u2559)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2555), _u2556), _u2557)) )).
% 39.89/40.12 cnf(matrix-1731, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2566), _u2568), _u2570)) | ( hAPP(c_Set_Oimage(_u2566, _u2572, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u2566, _u2572), _u2574), _u2568), _u2576)), _u2570) = hAPP(hAPP(c_Set_Oinsert(_u2572), _u2576), hAPP(c_Set_Oimage(_u2566, _u2572, _u2574), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2566, tc_HOL_Obool)), _u2570), hAPP(hAPP(c_Set_Oinsert(_u2566), _u2568), c_Orderings_Obot__class_Obot(tc_fun(_u2566, tc_HOL_Obool))))))) )).
% 39.89/40.12 cnf(matrix-1732, plain, ( hBOOL(hAPP(hAPP(c_member(_u2567), _u2569), _u2571)) | ( hAPP(c_Set_Oimage(_u2567, _u2573, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u2567, _u2573), _u2575), _u2569), _u2577)), _u2571) = hAPP(c_Set_Oimage(_u2567, _u2573, _u2575), _u2571)) )).
% 39.89/40.12 cnf(matrix-1733, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2578, tc_HOL_Obool)), _u2579), hAPP(_u2580, c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(_u2578, tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_fun(_u2578, tc_HOL_Obool), tc_fun(_u2578, tc_HOL_Obool), tc_fun(_u2578, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u2578, tc_HOL_Obool), tc_fun(tc_fun(_u2578, tc_HOL_Obool), tc_fun(_u2578, tc_HOL_Obool)), tc_fun(_u2578, tc_HOL_Obool)), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2578, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(tc_fun(_u2578, tc_HOL_Obool), tc_fun(_u2578, tc_HOL_Obool), tc_fun(_u2578, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u2578, tc_HOL_Obool), tc_fun(tc_fun(_u2578, tc_HOL_Obool), tc_fun(_u2578, tc_HOL_Obool)), tc_fun(_u2578, tc_HOL_Obool)), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2578, tc_HOL_Obool))), _u2580)), _u2579))), c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u2578, tc_HOL_Obool), _u2580)))))) | ~c_Orderings_Oorder__class_Omono(tc_fun(_u2578, tc_HOL_Obool), tc_fun(_u2578, tc_HOL_Obool), _u2580) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2578, tc_HOL_Obool)), c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(_u2578, tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_fun(_u2578, tc_HOL_Obool), tc_fun(_u2578, tc_HOL_Obool), tc_fun(_u2578, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u2578, tc_HOL_Obool), tc_fun(tc_fun(_u2578, tc_HOL_Obool), tc_fun(_u2578, tc_HOL_Obool)), tc_fun(_u2578, tc_HOL_Obool)), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2578, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(tc_fun(_u2578, tc_HOL_Obool), tc_fun(_u2578, tc_HOL_Obool), tc_fun(_u2578, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u2578, tc_HOL_Obool), tc_fun(tc_fun(_u2578, tc_HOL_Obool), tc_fun(_u2578, tc_HOL_Obool)), tc_fun(_u2578, tc_HOL_Obool)), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2578, tc_HOL_Obool))), _u2580)), _u2579))), c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u2578, tc_HOL_Obool), _u2580)))), hAPP(_u2580, c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(_u2578, tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_fun(_u2578, tc_HOL_Obool), tc_fun(_u2578, tc_HOL_Obool), tc_fun(_u2578, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u2578, tc_HOL_Obool), tc_fun(tc_fun(_u2578, tc_HOL_Obool), tc_fun(_u2578, tc_HOL_Obool)), tc_fun(_u2578, tc_HOL_Obool)), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2578, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(tc_fun(_u2578, tc_HOL_Obool), tc_fun(_u2578, tc_HOL_Obool), tc_fun(_u2578, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u2578, tc_HOL_Obool), tc_fun(tc_fun(_u2578, tc_HOL_Obool), tc_fun(_u2578, tc_HOL_Obool)), tc_fun(_u2578, tc_HOL_Obool)), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2578, tc_HOL_Obool))), _u2580)), _u2579))), c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u2578, tc_HOL_Obool), _u2580)))))) )).
% 39.89/40.12 cnf(matrix-1734, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2585, tc_HOL_Obool)), _u2587), hAPP(hAPP(c_Set_Oinsert(_u2585), _u2589), _u2591))) | ~hBOOL(hAPP(hAPP(c_member(_u2585), _u2589), _u2591)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2585, tc_HOL_Obool)), _u2587), _u2591)) )).
% 39.89/40.12 cnf(matrix-1735, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2585, tc_HOL_Obool)), _u2587), hAPP(hAPP(c_Set_Oinsert(_u2585), _u2589), _u2591))) | hBOOL(hAPP(hAPP(c_member(_u2585), _u2589), _u2591)) | ~hBOOL(hAPP(hAPP(c_member(_u2585), _u2589), _u2587)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2585, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2585, tc_HOL_Obool)), _u2587), hAPP(hAPP(c_Set_Oinsert(_u2585), _u2589), c_Orderings_Obot__class_Obot(tc_fun(_u2585, tc_HOL_Obool))))), _u2591)) )).
% 39.89/40.12 cnf(matrix-1736, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2585, tc_HOL_Obool)), _u2587), hAPP(hAPP(c_Set_Oinsert(_u2585), _u2589), _u2591))) | hBOOL(hAPP(hAPP(c_member(_u2585), _u2589), _u2591)) | hBOOL(hAPP(hAPP(c_member(_u2585), _u2589), _u2587)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2585, tc_HOL_Obool)), _u2587), _u2591)) )).
% 39.89/40.12 cnf(matrix-1737, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2586, tc_HOL_Obool)), _u2588), hAPP(hAPP(c_Set_Oinsert(_u2586), _u2590), _u2592))) | hBOOL(hAPP(hAPP(c_member(_u2586), _u2590), _u2592)) | hBOOL(hAPP(hAPP(c_member(_u2586), _u2590), _u2588)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2586, tc_HOL_Obool)), _u2588), _u2592)) )).
% 39.89/40.12 cnf(matrix-1738, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2586, tc_HOL_Obool)), _u2588), hAPP(hAPP(c_Set_Oinsert(_u2586), _u2590), _u2592))) | hBOOL(hAPP(hAPP(c_member(_u2586), _u2590), _u2592)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2586, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2586, tc_HOL_Obool)), _u2588), hAPP(hAPP(c_Set_Oinsert(_u2586), _u2590), c_Orderings_Obot__class_Obot(tc_fun(_u2586, tc_HOL_Obool))))), _u2592)) | ~hBOOL(hAPP(hAPP(c_member(_u2586), _u2590), _u2588)) )).
% 39.89/40.12 cnf(matrix-1739, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2586, tc_HOL_Obool)), _u2588), hAPP(hAPP(c_Set_Oinsert(_u2586), _u2590), _u2592))) | hBOOL(hAPP(hAPP(c_member(_u2586), _u2590), _u2592)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2586, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2586, tc_HOL_Obool)), _u2588), hAPP(hAPP(c_Set_Oinsert(_u2586), _u2590), c_Orderings_Obot__class_Obot(tc_fun(_u2586, tc_HOL_Obool))))), _u2592)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2586, tc_HOL_Obool)), _u2588), _u2592)) )).
% 39.89/40.12 cnf(matrix-1740, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2586, tc_HOL_Obool)), _u2588), hAPP(hAPP(c_Set_Oinsert(_u2586), _u2590), _u2592))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2586, tc_HOL_Obool)), _u2588), _u2592)) | ~hBOOL(hAPP(hAPP(c_member(_u2586), _u2590), _u2592)) )).
% 39.89/40.12 cnf(matrix-1741, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2586, tc_HOL_Obool)), _u2588), hAPP(hAPP(c_Set_Oinsert(_u2586), _u2590), _u2592))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2586, tc_HOL_Obool)), _u2588), _u2592)) | hBOOL(hAPP(hAPP(c_member(_u2586), _u2590), _u2588)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2586, tc_HOL_Obool)), _u2588), _u2592)) )).
% 39.89/40.12 cnf(matrix-1742, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2586, tc_HOL_Obool)), _u2588), hAPP(hAPP(c_Set_Oinsert(_u2586), _u2590), _u2592))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2586, tc_HOL_Obool)), _u2588), _u2592)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2586, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2586, tc_HOL_Obool)), _u2588), hAPP(hAPP(c_Set_Oinsert(_u2586), _u2590), c_Orderings_Obot__class_Obot(tc_fun(_u2586, tc_HOL_Obool))))), _u2592)) | ~hBOOL(hAPP(hAPP(c_member(_u2586), _u2590), _u2588)) )).
% 39.89/40.12 cnf(matrix-1743, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2586, tc_HOL_Obool)), _u2588), hAPP(hAPP(c_Set_Oinsert(_u2586), _u2590), _u2592))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2586, tc_HOL_Obool)), _u2588), _u2592)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2586, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2586, tc_HOL_Obool)), _u2588), hAPP(hAPP(c_Set_Oinsert(_u2586), _u2590), c_Orderings_Obot__class_Obot(tc_fun(_u2586, tc_HOL_Obool))))), _u2592)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2586, tc_HOL_Obool)), _u2588), _u2592)) )).
% 39.89/40.12 cnf(matrix-1744, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2594, tc_HOL_Obool)), _u2595), _u2596)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2594, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2594, tc_HOL_Obool)), _u2595), hAPP(c_Set_OCollect(_u2594), _u2597))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2594, tc_HOL_Obool)), _u2596), hAPP(c_Set_OCollect(_u2594), _u2598)))) | hBOOL(hAPP(hAPP(c_member(_u2594), skolem55(_u2598, _u2597, _u2596, _u2595, _u2594)), _u2595)) )).
% 39.89/40.12 cnf(matrix-1745, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2594, tc_HOL_Obool)), _u2595), _u2596)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2594, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2594, tc_HOL_Obool)), _u2595), hAPP(c_Set_OCollect(_u2594), _u2597))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2594, tc_HOL_Obool)), _u2596), hAPP(c_Set_OCollect(_u2594), _u2598)))) | hBOOL(hAPP(_u2597, skolem55(_u2598, _u2597, _u2596, _u2595, _u2594))) )).
% 39.89/40.12 cnf(matrix-1746, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2594, tc_HOL_Obool)), _u2595), _u2596)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2594, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2594, tc_HOL_Obool)), _u2595), hAPP(c_Set_OCollect(_u2594), _u2597))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2594, tc_HOL_Obool)), _u2596), hAPP(c_Set_OCollect(_u2594), _u2598)))) | ~hBOOL(hAPP(_u2598, skolem55(_u2598, _u2597, _u2596, _u2595, _u2594))) )).
% 39.89/40.12 cnf(matrix-1747, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2599), _u2600), _u2601)) | ~c_Nitpick_Ofold__graph_H(_u2599, _u2602, _u2603, _u2604, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2599, tc_HOL_Obool)), _u2601), hAPP(hAPP(c_Set_Oinsert(_u2599), _u2600), c_Orderings_Obot__class_Obot(tc_fun(_u2599, tc_HOL_Obool)))), _u2605) | c_Nitpick_Ofold__graph_H(_u2599, _u2602, _u2603, _u2604, _u2601, hAPP(hAPP(_u2603, _u2600), _u2605)) )).
% 39.89/40.12 cnf(matrix-1748, plain, ( ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u2606, _u2607), _u2608), _u2609), hAPP(_u2608, _u2609)) = _u2608) )).
% 39.89/40.12 cnf(matrix-1749, plain, ( ~class_Orderings_Olinorder(_u2610) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2610), _u2611), _u2612)) | ( _u2611 = _u2612) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2610), _u2612), _u2611)) )).
% 39.89/40.12 cnf(matrix-1750, plain, ( ~class_Orderings_Opreorder(_u2613) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2613), _u2614), _u2615)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2613), _u2615), _u2614)) )).
% 39.89/40.12 cnf(matrix-1751, plain, ( ~class_Orderings_Oorder(_u2616) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2616), _u2617), _u2618)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2616), _u2619), _u2617)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2616), _u2619), _u2618)) )).
% 39.89/40.12 cnf(matrix-1752, plain, ( ~class_Orderings_Opreorder(_u2620) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2620), _u2621), _u2622)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2620), _u2622), _u2623)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2620), _u2621), _u2623)) )).
% 39.89/40.12 cnf(matrix-1753, plain, ( ~class_Orderings_Oorder(_u2624) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2624), _u2625), _u2626)) | ( _u2625 != _u2627) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2624), _u2627), _u2626)) )).
% 39.89/40.12 cnf(matrix-1754, plain, ( ~class_Orderings_Oord(_u2628) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2628), _u2629), _u2630)) | ( _u2630 != _u2631) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2628), _u2629), _u2631)) )).
% 39.89/40.12 cnf(matrix-1755, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2632, tc_HOL_Obool)), _u2633), _u2634)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2632, tc_HOL_Obool)), _u2634), _u2635)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2632, tc_HOL_Obool)), _u2633), _u2635)) )).
% 39.89/40.12 cnf(matrix-1756, plain, ( ~class_Orderings_Oorder(_u2636) | ( _u2637 != _u2638) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2636), _u2639), _u2638)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2636), _u2639), _u2637)) )).
% 39.89/40.12 cnf(matrix-1757, plain, ( ~class_Orderings_Oord(_u2640) | ( _u2641 != _u2642) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2640), _u2642), _u2643)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2640), _u2641), _u2643)) )).
% 39.89/40.12 cnf(matrix-1758, plain, ( ~class_Orderings_Oorder(_u2644) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2644), _u2645), _u2646)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2644), _u2646), _u2645)) )).
% 39.89/40.12 cnf(matrix-1759, plain, ( ~class_Orderings_Opreorder(_u2647) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2647), _u2648), _u2649)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2647), _u2649), _u2648)) )).
% 39.89/40.12 cnf(matrix-1760, plain, ( ~class_Orderings_Oorder(_u2650) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2650), _u2651), _u2652)) | ( _u2652 != _u2651) )).
% 39.89/40.12 cnf(matrix-1761, plain, ( ~class_Orderings_Oorder(_u2653) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2653), _u2654), _u2655)) | ( _u2654 != _u2655) )).
% 39.89/40.12 cnf(matrix-1762, plain, ( ~class_Orderings_Opreorder(_u2656) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2656), _u2657), _u2658)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2656), _u2658), _u2657)) )).
% 39.89/40.12 cnf(matrix-1763, plain, ( ~class_Orderings_Opreorder(_u2659) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2659), _u2660), _u2661)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2659), _u2661), _u2660)) )).
% 39.89/40.12 cnf(matrix-1764, plain, ( ~class_Orderings_Oorder(_u2662) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2662), _u2663), _u2664)) | ( _u2663 != _u2664) )).
% 39.89/40.12 cnf(matrix-1765, plain, ( ~class_Orderings_Olinorder(_u2665) | ( _u2666 = _u2667) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2665), _u2666), _u2667)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2665), _u2667), _u2666)) )).
% 39.89/40.12 cnf(matrix-1766, plain, ( ~class_Orderings_Olinorder(_u2668) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2668), _u2669), _u2670)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2668), _u2670), _u2669)) | ( _u2670 = _u2669) )).
% 39.89/40.12 cnf(matrix-1767, plain, ( ~class_Orderings_Olinorder(_u2668) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2668), _u2669), _u2670)) | ( _u2670 != _u2669) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2668), _u2670), _u2669)) )).
% 39.89/40.12 cnf(matrix-1768, plain, ( ~class_Orderings_Olinorder(_u2671) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2671), _u2672), _u2673)) | ( _u2672 = _u2673) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2671), _u2673), _u2672)) )).
% 39.89/40.12 cnf(matrix-1769, plain, ( ~class_Orderings_Olinorder(_u2674) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2674), _u2675), _u2676)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2674), _u2676), _u2675)) | ( _u2675 = _u2676) )).
% 39.89/40.12 cnf(matrix-1770, plain, ( ~class_Orderings_Olinorder(_u2674) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2674), _u2675), _u2676)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2674), _u2676), _u2675)) )).
% 39.89/40.12 cnf(matrix-1771, plain, ( ~class_Orderings_Olinorder(_u2674) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2674), _u2675), _u2676)) | ( _u2675 != _u2676) )).
% 39.89/40.12 cnf(matrix-1772, plain, ( ~class_Orderings_Olinorder(_u2677) | ( _u2678 = _u2679) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2677), _u2678), _u2679)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2677), _u2679), _u2678)) )).
% 39.89/40.12 cnf(matrix-1773, plain, ( ~class_Orderings_Olinorder(_u2677) | ( _u2678 != _u2679) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2677), _u2678), _u2679)) )).
% 39.89/40.12 cnf(matrix-1774, plain, ( ~class_Orderings_Olinorder(_u2677) | ( _u2678 != _u2679) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2677), _u2679), _u2678)) )).
% 39.89/40.12 cnf(matrix-1775, plain, ( ~class_Orderings_Opreorder(_u2680) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2680), _u2681), _u2681)) )).
% 39.89/40.12 cnf(matrix-1776, plain, ( ( hAPP(_u2682, _u2683) != _u2684) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u2685, _u2686), _u2682), _u2683), _u2684) = _u2682) )).
% 39.89/40.12 cnf(matrix-1777, plain, ( ( _u2687 = _u2688) | ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u2689, _u2690), _u2691), _u2688), _u2692), _u2687) = hAPP(_u2691, _u2687)) )).
% 39.89/40.12 cnf(matrix-1778, plain, ( ( _u2693 = _u2694) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u2695, _u2696), hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u2695, _u2696), _u2697), _u2693), _u2698)), _u2694), _u2699) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u2695, _u2696), hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u2695, _u2696), _u2697), _u2694), _u2699)), _u2693), _u2698)) )).
% 39.89/40.12 cnf(matrix-1779, plain, ( ( _u2706 != _u2708) | ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u2710, _u2712), _u2714), _u2708), _u2716), _u2706) = _u2716) )).
% 39.89/40.12 cnf(matrix-1780, plain, ( ( _u2707 = _u2709) | ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u2711, _u2713), _u2715), _u2709), _u2717), _u2707) = hAPP(_u2715, _u2707)) )).
% 39.89/40.12 cnf(matrix-1781, plain, ( ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u2718, _u2719), _u2720), _u2721), _u2722), _u2721) = _u2722) )).
% 39.89/40.12 cnf(matrix-1782, plain, ( ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u2723, _u2724), hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u2723, _u2724), _u2725), _u2726), _u2727)), _u2726), _u2728) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u2723, _u2724), _u2725), _u2726), _u2728)) )).
% 39.89/40.12 cnf(matrix-1783, plain, ( ( hAPP(_u2738, _u2740) = _u2742) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u2734, _u2736), _u2738), _u2740), _u2742) != _u2738) )).
% 39.89/40.12 cnf(matrix-1784, plain, ( ( hAPP(_u2739, _u2741) != _u2743) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u2735, _u2737), _u2739), _u2741), _u2743) = _u2739) )).
% 39.89/40.12 cnf(matrix-1785, plain, ( ~class_Groups_Oordered__ab__group__add(_u2744) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2744), _u2745), _u2746) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2744), _u2747), _u2748)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2744), _u2745), _u2746)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2744), _u2747), _u2748)) )).
% 39.89/40.12 cnf(matrix-1786, plain, ( ~class_Groups_Oordered__ab__group__add(_u2744) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2744), _u2745), _u2746) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2744), _u2747), _u2748)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2744), _u2747), _u2748)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2744), _u2745), _u2746)) )).
% 39.89/40.12 cnf(matrix-1787, plain, ( ( _u2755 != _u2757) | ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u2759, _u2761), _u2763), _u2757), _u2765), _u2755) = _u2765) )).
% 39.89/40.12 cnf(matrix-1788, plain, ( ( _u2756 = _u2758) | ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u2760, _u2762), _u2764), _u2758), _u2766), _u2756) = hAPP(_u2764, _u2756)) )).
% 39.89/40.12 cnf(matrix-1789, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2767) | ( c_Inductive_Ocomplete__lattice__class_Olfp(_u2767, hAPP(c_COMBK(_u2767, _u2767), _u2768)) = _u2768) )).
% 39.89/40.12 cnf(matrix-1790, plain, ( c_Nitpick_Ofold__graph_H(_u2769, _u2770, _u2771, _u2772, c_Orderings_Obot__class_Obot(tc_fun(_u2769, tc_HOL_Obool)), _u2772) )).
% 39.89/40.12 cnf(matrix-1791, plain, ( c_Nitpick_Ofold__graph_H(_u2773, _u2774, _u2775, _u2776, c_Orderings_Obot__class_Obot(tc_fun(_u2773, tc_HOL_Obool)), _u2776) )).
% 39.89/40.12 cnf(matrix-1792, plain, ( ~class_Orderings_Oord(_u2777) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2778, _u2777)), _u2779), _u2780)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2778, _u2777)), _u2779), _u2780)) )).
% 39.89/40.12 cnf(matrix-1793, plain, ( ~class_Orderings_Oord(_u2777) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2778, _u2777)), _u2779), _u2780)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2778, _u2777)), _u2780), _u2779)) )).
% 39.89/40.12 cnf(matrix-1794, plain, ( ~class_Orderings_Oord(_u2777) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2778, _u2777)), _u2779), _u2780)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2778, _u2777)), _u2780), _u2779)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2778, _u2777)), _u2779), _u2780)) )).
% 39.89/40.12 cnf(matrix-1795, plain, ( ~class_Orderings_Oorder(_u2781) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2781), _u2782), _u2783)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2781), _u2784), _u2782)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2781), _u2784), _u2783)) )).
% 39.89/40.12 cnf(matrix-1796, plain, ( ~class_Orderings_Opreorder(_u2785) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2785), _u2786), _u2787)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2785), _u2787), _u2788)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2785), _u2786), _u2788)) )).
% 39.89/40.12 cnf(matrix-1797, plain, ( ~class_Orderings_Oorder(_u2789) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2789), _u2790), _u2791)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2789), _u2792), _u2790)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2789), _u2792), _u2791)) )).
% 39.89/40.12 cnf(matrix-1798, plain, ( ~class_Orderings_Opreorder(_u2793) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2793), _u2794), _u2795)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2793), _u2795), _u2796)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2793), _u2794), _u2796)) )).
% 39.89/40.12 cnf(matrix-1799, plain, ( ~class_Orderings_Oorder(_u2797) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2797), _u2798), _u2799)) | ( _u2799 = _u2798) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2797), _u2798), _u2799)) )).
% 39.89/40.12 cnf(matrix-1800, plain, ( ~class_Orderings_Oorder(_u2800) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2800), _u2801), _u2802)) | ( _u2801 = _u2802) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2800), _u2801), _u2802)) )).
% 39.89/40.12 cnf(matrix-1801, plain, ( ~class_Orderings_Oorder(_u2803) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2803), _u2804), _u2805)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2803), _u2804), _u2805)) | ( _u2804 = _u2805) )).
% 39.89/40.12 cnf(matrix-1802, plain, ( ~class_Orderings_Olinorder(_u2806) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2806), _u2807), _u2808)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2806), _u2807), _u2808)) | ( _u2807 = _u2808) )).
% 39.89/40.12 cnf(matrix-1803, plain, ( ~class_Orderings_Olinorder(_u2806) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2806), _u2807), _u2808)) | ( _u2807 != _u2808) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2806), _u2807), _u2808)) )).
% 39.89/40.12 cnf(matrix-1804, plain, ( ~class_Orderings_Opreorder(_u2809) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2809), _u2810), _u2811)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2809), _u2810), _u2811)) )).
% 39.89/40.12 cnf(matrix-1805, plain, ( ~class_Orderings_Olinorder(_u2812) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2812), _u2813), _u2814)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2812), _u2814), _u2813)) )).
% 39.89/40.12 cnf(matrix-1806, plain, ( ~class_Orderings_Oorder(_u2815) | ( _u2816 = _u2817) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2815), _u2817), _u2816)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2815), _u2817), _u2816)) )).
% 39.89/40.12 cnf(matrix-1807, plain, ( ~class_Orderings_Oorder(_u2818) | ( _u2819 = _u2820) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2818), _u2819), _u2820)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2818), _u2819), _u2820)) )).
% 39.89/40.12 cnf(matrix-1808, plain, ( ~class_Orderings_Olinorder(_u2821) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2821), _u2822), _u2823)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2821), _u2822), _u2823)) | ( _u2822 = _u2823) )).
% 39.89/40.12 cnf(matrix-1809, plain, ( ~class_Orderings_Olinorder(_u2821) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2821), _u2822), _u2823)) | ( _u2822 != _u2823) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2821), _u2822), _u2823)) )).
% 39.89/40.12 cnf(matrix-1810, plain, ( ~class_Orderings_Olinorder(_u2824) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2824), _u2825), _u2826)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2824), _u2826), _u2825)) )).
% 39.89/40.12 cnf(matrix-1811, plain, ( ~class_Orderings_Olinorder(_u2827) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2827), _u2828), _u2829)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2827), _u2829), _u2828)) )).
% 39.89/40.12 cnf(matrix-1812, plain, ( ~class_Orderings_Oorder(_u2830) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2830), _u2831), _u2832)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2830), _u2831), _u2832)) | ( _u2831 = _u2832) )).
% 39.89/40.12 cnf(matrix-1813, plain, ( ~class_Orderings_Oorder(_u2830) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2830), _u2831), _u2832)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2830), _u2831), _u2832)) )).
% 39.89/40.12 cnf(matrix-1814, plain, ( ~class_Orderings_Oorder(_u2830) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2830), _u2831), _u2832)) | ( _u2831 != _u2832) )).
% 39.89/40.12 cnf(matrix-1815, plain, ( ~class_Orderings_Opreorder(_u2833) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2833), _u2834), _u2835)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2833), _u2834), _u2835)) )).
% 39.89/40.12 cnf(matrix-1816, plain, ( ~class_Orderings_Opreorder(_u2833) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2833), _u2834), _u2835)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2833), _u2835), _u2834)) )).
% 39.89/40.12 cnf(matrix-1817, plain, ( ~class_Orderings_Opreorder(_u2833) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2833), _u2834), _u2835)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2833), _u2835), _u2834)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2833), _u2834), _u2835)) )).
% 39.89/40.12 cnf(matrix-1818, plain, ( ~class_Orderings_Oorder(_u2836) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2836), _u2837), _u2838)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2836), _u2837), _u2838)) )).
% 39.89/40.12 cnf(matrix-1819, plain, ( ~class_Orderings_Oorder(_u2836) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2836), _u2837), _u2838)) | ( _u2837 != _u2838) )).
% 39.89/40.12 cnf(matrix-1820, plain, ( ~class_Orderings_Oorder(_u2836) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2836), _u2837), _u2838)) | ( _u2837 = _u2838) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2836), _u2837), _u2838)) )).
% 39.89/40.12 cnf(matrix-1821, plain, ( ~class_Orderings_Olinorder(_u2839) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2839), _u2840), _u2841)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2839), _u2841), _u2840)) )).
% 39.89/40.12 cnf(matrix-1822, plain, ( ~class_Orderings_Olinorder(_u2842) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2842), _u2843), _u2844)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2842), _u2844), _u2843)) )).
% 39.89/40.12 cnf(matrix-1823, plain, ( ~class_Orderings_Olinorder(_u2842) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2842), _u2844), _u2843)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2842), _u2843), _u2844)) )).
% 39.89/40.12 cnf(matrix-1824, plain, ( ~class_Orderings_Olinorder(_u2845) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2845), _u2846), _u2847)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2845), _u2847), _u2846)) )).
% 39.89/40.12 cnf(matrix-1825, plain, ( ~class_Orderings_Olinorder(_u2845) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2845), _u2847), _u2846)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2845), _u2846), _u2847)) )).
% 39.89/40.12 cnf(matrix-1826, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2848, tc_HOL_Obool)), _u2849), _u2850)) | ~hBOOL(hAPP(hAPP(c_member(_u2848), _u2851), _u2849)) | hBOOL(hAPP(hAPP(c_member(_u2848), _u2851), _u2850)) )).
% 39.89/40.12 cnf(matrix-1827, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2852), _u2853)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2852), _u2854)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2853), _u2852)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2854), _u2852))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2853), _u2854)) )).
% 39.89/40.12 cnf(matrix-1828, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2852), _u2853)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2852), _u2854)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2853), _u2854)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2853), _u2852)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2854), _u2852))) )).
% 39.89/40.12 cnf(matrix-1829, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2855), _u2856)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2855), _u2857)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2856), _u2855)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2857), _u2855)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2856), _u2857)) )).
% 39.89/40.12 cnf(matrix-1830, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2858), _u2859)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2858), _u2860)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2859), _u2858) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2860), _u2858)) | ( _u2859 = _u2860) )).
% 39.89/40.12 cnf(matrix-1831, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2858), _u2859)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2858), _u2860)) | ( _u2859 != _u2860) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2859), _u2858) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2860), _u2858)) )).
% 39.89/40.12 cnf(matrix-1832, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2861), _u2862)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2862), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2862), _u2861)) = _u2861) )).
% 39.89/40.12 cnf(matrix-1833, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2863), _u2864)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2863), _u2865)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2864), _u2865))) )).
% 39.89/40.12 cnf(matrix-1834, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2866), _u2867)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2868), _u2867)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2868), _u2866))) )).
% 39.89/40.12 cnf(matrix-1835, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2869), _u2870)), _u2869)) )).
% 39.89/40.12 cnf(matrix-1836, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2871, tc_HOL_Obool)), _u2872), c_Orderings_Obot__class_Obot(tc_fun(_u2871, tc_HOL_Obool)))) )).
% 39.89/40.12 cnf(matrix-1837, plain, ( ~class_Lattices_Osemilattice__sup(_u2873) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2873), _u2874), _u2875)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2873), _u2874), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2873), _u2875), _u2876))) )).
% 39.89/40.12 cnf(matrix-1838, plain, ( ~class_Lattices_Osemilattice__sup(_u2877) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2877), _u2878), _u2879)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2877), _u2878), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2877), _u2880), _u2879))) )).
% 39.89/40.12 cnf(matrix-1839, plain, ( ~class_Lattices_Osemilattice__inf(_u2881) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2881), _u2882), _u2883)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2881), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2881), _u2884), _u2882)), _u2883)) )).
% 39.89/40.12 cnf(matrix-1840, plain, ( ~class_Lattices_Osemilattice__inf(_u2885) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2885), _u2886), _u2887)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2885), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2885), _u2886), _u2888)), _u2887)) )).
% 39.89/40.12 cnf(matrix-1841, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2889, tc_HOL_Obool)), _u2890), _u2891)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2889, tc_HOL_Obool)), _u2891), _u2892)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2889, tc_HOL_Obool)), _u2890), _u2892)) )).
% 39.89/40.12 cnf(matrix-1842, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2893, tc_HOL_Obool)), _u2894), _u2895)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2893, tc_HOL_Obool)), _u2895), _u2896)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2893, tc_HOL_Obool)), _u2894), _u2896)) )).
% 39.89/40.12 cnf(matrix-1843, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2897, tc_HOL_Obool)), _u2898), _u2899)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2897, tc_HOL_Obool)), _u2898), _u2899)) )).
% 39.89/40.12 cnf(matrix-1844, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2903, tc_HOL_Obool)), _u2905), _u2907)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2903, tc_HOL_Obool)), _u2905), _u2907)) | ( _u2905 = _u2907) )).
% 39.89/40.12 cnf(matrix-1845, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2904, tc_HOL_Obool)), _u2906), _u2908)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2904, tc_HOL_Obool)), _u2906), _u2908)) )).
% 39.89/40.12 cnf(matrix-1846, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2904, tc_HOL_Obool)), _u2906), _u2908)) | ( _u2906 != _u2908) )).
% 39.89/40.12 cnf(matrix-1847, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2912, tc_HOL_Obool)), _u2914), _u2916)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2912, tc_HOL_Obool)), _u2914), _u2916)) )).
% 39.89/40.12 cnf(matrix-1848, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2912, tc_HOL_Obool)), _u2914), _u2916)) | ( _u2914 != _u2916) )).
% 39.89/40.12 cnf(matrix-1849, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2913, tc_HOL_Obool)), _u2915), _u2917)) | ( _u2915 = _u2917) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2913, tc_HOL_Obool)), _u2915), _u2917)) )).
% 39.89/40.12 cnf(matrix-1850, plain, ( ( hAPP(c_Fun_Ocomp(_u2918, _u2919, _u2920, _u2921), hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u2920, _u2918), _u2922), _u2923), _u2924)) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u2920, _u2919), hAPP(c_Fun_Ocomp(_u2918, _u2919, _u2920, _u2921), _u2922)), _u2923), hAPP(_u2921, _u2924))) )).
% 39.89/40.12 cnf(matrix-1851, plain, ( ~class_Orderings_Oorder(_u2925) | ~class_Orderings_Oorder(_u2926) | ~c_Orderings_Oorder__class_Ostrict__mono(_u2926, _u2925, _u2927) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2926), _u2928), _u2929)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2925), hAPP(_u2927, _u2928)), hAPP(_u2927, _u2929))) )).
% 39.89/40.12 cnf(matrix-1852, plain, ( ~class_Orderings_Oorder(_u2930) | ~class_Orderings_Olinorder(_u2931) | ~c_Orderings_Oorder__class_Ostrict__mono(_u2931, _u2930, _u2932) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2930), hAPP(_u2932, _u2933)), hAPP(_u2932, _u2934))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2931), _u2933), _u2934)) )).
% 39.89/40.12 cnf(matrix-1853, plain, ( ~class_Orderings_Oorder(_u2930) | ~class_Orderings_Olinorder(_u2931) | ~c_Orderings_Oorder__class_Ostrict__mono(_u2931, _u2930, _u2932) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2931), _u2933), _u2934)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2930), hAPP(_u2932, _u2933)), hAPP(_u2932, _u2934))) )).
% 39.89/40.12 cnf(matrix-1854, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2935) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2935), hAPP(_u2936, _u2937)), _u2937)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2935), c_Inductive_Ocomplete__lattice__class_Olfp(_u2935, _u2936)), _u2937)) )).
% 39.89/40.12 cnf(matrix-1855, plain, ( ~class_Orderings_Owellorder(_u2938) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2938), _u2939), c_Orderings_Oord__class_OLeast(_u2938, _u2940))) | ~hBOOL(hAPP(_u2940, _u2939)) )).
% 39.89/40.12 cnf(matrix-1856, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2941) | ~c_Orderings_Oorder__class_Omono(_u2941, _u2941, _u2942) | ( c_Inductive_Ocomplete__lattice__class_Olfp(_u2941, _u2942) = hAPP(_u2942, c_Inductive_Ocomplete__lattice__class_Olfp(_u2941, _u2942))) )).
% 39.89/40.12 cnf(matrix-1857, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2943) | ( _u2944 != c_Inductive_Ocomplete__lattice__class_Olfp(_u2943, _u2945)) | ~c_Orderings_Oorder__class_Omono(_u2943, _u2943, _u2945) | ( _u2944 = hAPP(_u2945, _u2944)) )).
% 39.89/40.12 cnf(matrix-1858, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2946) | ~c_Orderings_Oorder__class_Omono(_u2946, _u2946, _u2947) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2946), c_Inductive_Ocomplete__lattice__class_Olfp(_u2946, _u2947)), hAPP(_u2947, c_Inductive_Ocomplete__lattice__class_Olfp(_u2946, _u2947)))) )).
% 39.89/40.12 cnf(matrix-1859, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2948) | ~c_Orderings_Oorder__class_Omono(_u2948, _u2948, _u2949) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2948), hAPP(_u2949, c_Inductive_Ocomplete__lattice__class_Olfp(_u2948, _u2949))), c_Inductive_Ocomplete__lattice__class_Olfp(_u2948, _u2949))) )).
% 39.89/40.12 cnf(matrix-1860, plain, ( ~class_Groups_Oab__group__add(_u2950) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2950), _u2951), _u2952) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2950), _u2953), _u2954)) | ( _u2951 != _u2952) | ( _u2953 = _u2954) )).
% 39.89/40.12 cnf(matrix-1861, plain, ( ~class_Groups_Oab__group__add(_u2950) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2950), _u2951), _u2952) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2950), _u2953), _u2954)) | ( _u2953 != _u2954) | ( _u2951 = _u2952) )).
% 39.89/40.12 cnf(matrix-1862, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2955) | ~c_Orderings_Oorder__class_Omono(_u2955, _u2955, _u2956) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2955), hAPP(_u2956, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2955), c_Inductive_Ocomplete__lattice__class_Olfp(_u2955, _u2956)), _u2957))), _u2957)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2955), c_Inductive_Ocomplete__lattice__class_Olfp(_u2955, _u2956)), _u2957)) )).
% 39.89/40.12 cnf(matrix-1863, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2958) | ( _u2959 != c_Inductive_Ocomplete__lattice__class_Olfp(_u2958, _u2960)) | ~c_Orderings_Oorder__class_Omono(_u2958, _u2958, _u2960) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2958), hAPP(_u2960, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2958), _u2959), _u2961))), _u2961)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2958), _u2959), _u2961)) )).
% 39.89/40.12 cnf(matrix-1864, plain, ( ( _u2963 != c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(_u2964, tc_HOL_Obool), _u2965)) | ~c_Orderings_Oorder__class_Omono(tc_fun(_u2964, tc_HOL_Obool), tc_fun(_u2964, tc_HOL_Obool), _u2965) | ~hBOOL(hAPP(hAPP(c_member(_u2964), _u2966), _u2963)) | hBOOL(hAPP(_u2967, _u2966)) | hBOOL(hAPP(hAPP(c_member(_u2964), skolem56(_u2967, _u2966, _u2965, _u2964, _u2963)), hAPP(_u2965, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2964, tc_HOL_Obool)), _u2963), hAPP(c_Set_OCollect(_u2964), _u2967))))) )).
% 39.89/40.12 cnf(matrix-1865, plain, ( ( _u2963 != c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(_u2964, tc_HOL_Obool), _u2965)) | ~c_Orderings_Oorder__class_Omono(tc_fun(_u2964, tc_HOL_Obool), tc_fun(_u2964, tc_HOL_Obool), _u2965) | ~hBOOL(hAPP(hAPP(c_member(_u2964), _u2966), _u2963)) | hBOOL(hAPP(_u2967, _u2966)) | ~hBOOL(hAPP(_u2967, skolem56(_u2967, _u2966, _u2965, _u2964, _u2963))) )).
% 39.89/40.12 cnf(matrix-1866, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2969), _u2970), c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(_u2969, tc_HOL_Obool), _u2971))) | ~c_Orderings_Oorder__class_Omono(tc_fun(_u2969, tc_HOL_Obool), tc_fun(_u2969, tc_HOL_Obool), _u2971) | hBOOL(hAPP(_u2972, _u2970)) | hBOOL(hAPP(hAPP(c_member(_u2969), skolem57(_u2972, _u2971, _u2970, _u2969)), hAPP(_u2971, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2969, tc_HOL_Obool)), c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(_u2969, tc_HOL_Obool), _u2971)), hAPP(c_Set_OCollect(_u2969), _u2972))))) )).
% 39.89/40.12 cnf(matrix-1867, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2969), _u2970), c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(_u2969, tc_HOL_Obool), _u2971))) | ~c_Orderings_Oorder__class_Omono(tc_fun(_u2969, tc_HOL_Obool), tc_fun(_u2969, tc_HOL_Obool), _u2971) | hBOOL(hAPP(_u2972, _u2970)) | ~hBOOL(hAPP(_u2972, skolem57(_u2972, _u2971, _u2970, _u2969))) )).
% 39.89/40.12 cnf(matrix-1868, plain, ( ~c_Nitpick_Ofold__graph_H(_u2984, _u2986, _u2988, _u2990, _u2992, hAPP(hAPP(_u2988, _u2994), _u2996)) | ( _u2992 = c_Orderings_Obot__class_Obot(tc_fun(_u2984, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u2984), skolem58(_u2996, _u2994, _u2992, _u2990, _u2988, _u2986, _u2984)), _u2992)) )).
% 39.89/40.12 cnf(matrix-1869, plain, ( ~c_Nitpick_Ofold__graph_H(_u2984, _u2986, _u2988, _u2990, _u2992, hAPP(hAPP(_u2988, _u2994), _u2996)) | ( _u2992 = c_Orderings_Obot__class_Obot(tc_fun(_u2984, tc_HOL_Obool))) | ( hAPP(hAPP(_u2988, _u2994), _u2996) = hAPP(hAPP(_u2988, skolem58(_u2996, _u2994, _u2992, _u2990, _u2988, _u2986, _u2984)), skolem59(_u2996, _u2994, _u2992, _u2990, _u2988, _u2986, _u2984))) )).
% 39.89/40.12 cnf(matrix-1870, plain, ( ~c_Nitpick_Ofold__graph_H(_u2984, _u2986, _u2988, _u2990, _u2992, hAPP(hAPP(_u2988, _u2994), _u2996)) | ( _u2992 = c_Orderings_Obot__class_Obot(tc_fun(_u2984, tc_HOL_Obool))) | c_Nitpick_Ofold__graph_H(_u2984, _u2986, _u2988, _u2990, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2984, tc_HOL_Obool)), _u2992), hAPP(hAPP(c_Set_Oinsert(_u2984), skolem58(_u2996, _u2994, _u2992, _u2990, _u2988, _u2986, _u2984)), c_Orderings_Obot__class_Obot(tc_fun(_u2984, tc_HOL_Obool)))), skolem59(_u2996, _u2994, _u2992, _u2990, _u2988, _u2986, _u2984)) )).
% 39.89/40.12 cnf(matrix-1871, plain, ( ~c_Nitpick_Ofold__graph_H(_u2984, _u2986, _u2988, _u2990, _u2992, hAPP(hAPP(_u2988, _u2994), _u2996)) | ( hAPP(hAPP(_u2988, _u2994), _u2996) = _u2990) | hBOOL(hAPP(hAPP(c_member(_u2984), skolem58(_u2996, _u2994, _u2992, _u2990, _u2988, _u2986, _u2984)), _u2992)) )).
% 39.89/40.12 cnf(matrix-1872, plain, ( ~c_Nitpick_Ofold__graph_H(_u2984, _u2986, _u2988, _u2990, _u2992, hAPP(hAPP(_u2988, _u2994), _u2996)) | ( hAPP(hAPP(_u2988, _u2994), _u2996) = _u2990) | ( hAPP(hAPP(_u2988, _u2994), _u2996) = hAPP(hAPP(_u2988, skolem58(_u2996, _u2994, _u2992, _u2990, _u2988, _u2986, _u2984)), skolem59(_u2996, _u2994, _u2992, _u2990, _u2988, _u2986, _u2984))) )).
% 39.89/40.12 cnf(matrix-1873, plain, ( ~c_Nitpick_Ofold__graph_H(_u2984, _u2986, _u2988, _u2990, _u2992, hAPP(hAPP(_u2988, _u2994), _u2996)) | ( hAPP(hAPP(_u2988, _u2994), _u2996) = _u2990) | c_Nitpick_Ofold__graph_H(_u2984, _u2986, _u2988, _u2990, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2984, tc_HOL_Obool)), _u2992), hAPP(hAPP(c_Set_Oinsert(_u2984), skolem58(_u2996, _u2994, _u2992, _u2990, _u2988, _u2986, _u2984)), c_Orderings_Obot__class_Obot(tc_fun(_u2984, tc_HOL_Obool)))), skolem59(_u2996, _u2994, _u2992, _u2990, _u2988, _u2986, _u2984)) )).
% 39.89/40.12 cnf(matrix-1874, plain, ( c_Nitpick_Ofold__graph_H(_u2985, _u2987, _u2989, _u2991, _u2993, hAPP(hAPP(_u2989, _u2995), _u2997)) | ( _u2993 != c_Orderings_Obot__class_Obot(tc_fun(_u2985, tc_HOL_Obool))) | ( hAPP(hAPP(_u2989, _u2995), _u2997) != _u2991) )).
% 39.89/40.12 cnf(matrix-1875, plain, ( c_Nitpick_Ofold__graph_H(_u2985, _u2987, _u2989, _u2991, _u2993, hAPP(hAPP(_u2989, _u2995), _u2997)) | ~hBOOL(hAPP(hAPP(c_member(_u2985), _u2976), _u2993)) | ( hAPP(hAPP(_u2989, _u2995), _u2997) != hAPP(hAPP(_u2989, _u2976), _u2975)) | ~c_Nitpick_Ofold__graph_H(_u2985, _u2987, _u2989, _u2991, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2985, tc_HOL_Obool)), _u2993), hAPP(hAPP(c_Set_Oinsert(_u2985), _u2976), c_Orderings_Obot__class_Obot(tc_fun(_u2985, tc_HOL_Obool)))), _u2975) )).
% 39.89/40.12 cnf(matrix-1876, plain, ( ~class_Orderings_Oorder(_u2998) | ~class_Enum_Oenum(_u2999) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2999, _u2998)), _u3000), _u3001)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2999, _u2998)), _u3000), _u3001)) )).
% 39.89/40.12 cnf(matrix-1877, plain, ( ~class_Orderings_Oorder(_u2998) | ~class_Enum_Oenum(_u2999) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2999, _u2998)), _u3000), _u3001)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u2999), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u2999), c_fNot), hAPP(hAPP(c_COMBS(_u2999, _u2998, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u2998, tc_fun(_u2998, tc_HOL_Obool), _u2999), c_fequal), _u3000)), _u3001)))) )).
% 39.89/40.12 cnf(matrix-1878, plain, ( ~class_Orderings_Oorder(_u2998) | ~class_Enum_Oenum(_u2999) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2999, _u2998)), _u3000), _u3001)) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u2999), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u2999), c_fNot), hAPP(hAPP(c_COMBS(_u2999, _u2998, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u2998, tc_fun(_u2998, tc_HOL_Obool), _u2999), c_fequal), _u3000)), _u3001)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2999, _u2998)), _u3000), _u3001)) )).
% 39.89/40.12 cnf(matrix-1879, plain, ( ~c_Fun_Oinj__on(_u3007, _u3009, _u3011, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3007, tc_HOL_Obool)), _u3013), _u3015)) | c_Fun_Oinj__on(_u3007, _u3009, _u3011, _u3013) )).
% 39.89/40.12 cnf(matrix-1880, plain, ( ~c_Fun_Oinj__on(_u3007, _u3009, _u3011, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3007, tc_HOL_Obool)), _u3013), _u3015)) | c_Fun_Oinj__on(_u3007, _u3009, _u3011, _u3015) )).
% 39.89/40.12 cnf(matrix-1881, plain, ( ~c_Fun_Oinj__on(_u3007, _u3009, _u3011, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3007, tc_HOL_Obool)), _u3013), _u3015)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3009, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u3007, _u3009, _u3011), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3007, tc_HOL_Obool)), _u3013), _u3015))), hAPP(c_Set_Oimage(_u3007, _u3009, _u3011), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3007, tc_HOL_Obool)), _u3015), _u3013))) = c_Orderings_Obot__class_Obot(tc_fun(_u3009, tc_HOL_Obool))) )).
% 39.89/40.12 cnf(matrix-1882, plain, ( ~c_Fun_Oinj__on(_u3008, _u3010, _u3012, _u3014) | ~c_Fun_Oinj__on(_u3008, _u3010, _u3012, _u3016) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3010, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u3008, _u3010, _u3012), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3008, tc_HOL_Obool)), _u3014), _u3016))), hAPP(c_Set_Oimage(_u3008, _u3010, _u3012), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3008, tc_HOL_Obool)), _u3016), _u3014))) != c_Orderings_Obot__class_Obot(tc_fun(_u3010, tc_HOL_Obool))) | c_Fun_Oinj__on(_u3008, _u3010, _u3012, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3008, tc_HOL_Obool)), _u3014), _u3016)) )).
% 39.89/40.12 cnf(matrix-1883, plain, ( ~c_Fun_Oinj__on(_u3022, _u3024, _u3026, hAPP(hAPP(c_Set_Oinsert(_u3022), _u3028), _u3030)) | c_Fun_Oinj__on(_u3022, _u3024, _u3026, _u3030) )).
% 39.89/40.12 cnf(matrix-1884, plain, ( ~c_Fun_Oinj__on(_u3022, _u3024, _u3026, hAPP(hAPP(c_Set_Oinsert(_u3022), _u3028), _u3030)) | ~hBOOL(hAPP(hAPP(c_member(_u3024), hAPP(_u3026, _u3028)), hAPP(c_Set_Oimage(_u3022, _u3024, _u3026), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3022, tc_HOL_Obool)), _u3030), hAPP(hAPP(c_Set_Oinsert(_u3022), _u3028), c_Orderings_Obot__class_Obot(tc_fun(_u3022, tc_HOL_Obool))))))) )).
% 39.89/40.12 cnf(matrix-1885, plain, ( ~c_Fun_Oinj__on(_u3023, _u3025, _u3027, _u3031) | hBOOL(hAPP(hAPP(c_member(_u3025), hAPP(_u3027, _u3029)), hAPP(c_Set_Oimage(_u3023, _u3025, _u3027), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3023, tc_HOL_Obool)), _u3031), hAPP(hAPP(c_Set_Oinsert(_u3023), _u3029), c_Orderings_Obot__class_Obot(tc_fun(_u3023, tc_HOL_Obool))))))) | c_Fun_Oinj__on(_u3023, _u3025, _u3027, hAPP(hAPP(c_Set_Oinsert(_u3023), _u3029), _u3031)) )).
% 39.89/40.12 cnf(matrix-1886, plain, ( ~c_Partial__Function_Omk__less(_u3036, _u3038, _u3040, _u3042) | hBOOL(hAPP(hAPP(_u3038, _u3040), _u3042)) )).
% 39.89/40.12 cnf(matrix-1887, plain, ( ~c_Partial__Function_Omk__less(_u3036, _u3038, _u3040, _u3042) | ~hBOOL(hAPP(hAPP(_u3038, _u3042), _u3040)) )).
% 39.89/40.12 cnf(matrix-1888, plain, ( ~hBOOL(hAPP(hAPP(_u3039, _u3041), _u3043)) | hBOOL(hAPP(hAPP(_u3039, _u3043), _u3041)) | c_Partial__Function_Omk__less(_u3037, _u3039, _u3041, _u3043) )).
% 39.89/40.12 cnf(matrix-1889, plain, ( ( c_Map_Odom(_u3044, _u3045, c_Fun_Ooverride__on(_u3044, tc_Option_Ooption(_u3045), _u3046, _u3047, _u3048)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3044, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3044, tc_HOL_Obool)), c_Map_Odom(_u3044, _u3045, _u3046)), hAPP(c_Set_OCollect(_u3044), hAPP(hAPP(c_COMBC(_u3044, tc_fun(_u3044, tc_HOL_Obool), tc_HOL_Obool), c_member(_u3044)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3044, tc_HOL_Obool)), _u3048), c_Map_Odom(_u3044, _u3045, _u3047)))))), hAPP(c_Set_OCollect(_u3044), hAPP(hAPP(c_COMBC(_u3044, tc_fun(_u3044, tc_HOL_Obool), tc_HOL_Obool), c_member(_u3044)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3044, tc_HOL_Obool)), _u3048), c_Map_Odom(_u3044, _u3045, _u3047)))))) )).
% 39.89/40.12 cnf(matrix-1890, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3050, tc_HOL_Obool)), _u3051), _u3052)) | hBOOL(hAPP(hAPP(c_member(_u3050), skolem60(_u3052, _u3051, _u3050)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3050, tc_HOL_Obool)), _u3052), _u3051))) )).
% 39.89/40.12 cnf(matrix-1891, plain, ( c_Fun_Oinj__on(_u3053, _u3054, _u3055, c_Orderings_Obot__class_Obot(tc_fun(_u3053, tc_HOL_Obool))) )).
% 39.89/40.12 cnf(matrix-1892, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3056), _u3057)), _u3058) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3056), _u3058)), _u3057)) )).
% 39.89/40.12 cnf(matrix-1893, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3059), _u3060)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3059), _u3061)), _u3060)) )).
% 39.89/40.12 cnf(matrix-1894, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3062), _u3063)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3062), _u3064)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3064), _u3063)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3064), _u3062))) )).
% 39.89/40.12 cnf(matrix-1895, plain, ( c_Fun_Oinj__on(_u3065, _u3065, c_COMBI(_u3065), _u3066) )).
% 39.89/40.12 cnf(matrix-1896, plain, ( ~c_Fun_Oinj__on(_u3075, _u3077, _u3079, _u3081) | ~hBOOL(hAPP(hAPP(c_member(_u3075), _u3068), _u3081)) | ~hBOOL(hAPP(hAPP(c_member(_u3075), _u3067), _u3081)) | ( hAPP(_u3079, _u3068) != hAPP(_u3079, _u3067)) | ( _u3068 = _u3067) )).
% 39.89/40.12 cnf(matrix-1897, plain, ( c_Fun_Oinj__on(_u3076, _u3078, _u3080, _u3082) | hBOOL(hAPP(hAPP(c_member(_u3076), skolem61(_u3082, _u3080, _u3078, _u3076)), _u3082)) )).
% 39.89/40.12 cnf(matrix-1898, plain, ( c_Fun_Oinj__on(_u3076, _u3078, _u3080, _u3082) | hBOOL(hAPP(hAPP(c_member(_u3076), skolem62(_u3082, _u3080, _u3078, _u3076)), _u3082)) )).
% 39.89/40.12 cnf(matrix-1899, plain, ( c_Fun_Oinj__on(_u3076, _u3078, _u3080, _u3082) | ( hAPP(_u3080, skolem61(_u3082, _u3080, _u3078, _u3076)) = hAPP(_u3080, skolem62(_u3082, _u3080, _u3078, _u3076))) )).
% 39.89/40.12 cnf(matrix-1900, plain, ( c_Fun_Oinj__on(_u3076, _u3078, _u3080, _u3082) | ( skolem61(_u3082, _u3080, _u3078, _u3076) != skolem62(_u3082, _u3080, _u3078, _u3076)) )).
% 39.89/40.12 cnf(matrix-1901, plain, ( ~class_Enum_Oenum(_u3085) | ~hBOOL(hAPP(_u3086, _u3083)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u3085), _u3086)) )).
% 39.89/40.12 cnf(matrix-1902, plain, ( ~class_Enum_Oenum(_u3085) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u3085), _u3086)) | hBOOL(hAPP(_u3086, skolem63(_u3086, _u3085))) )).
% 39.89/40.12 cnf(matrix-1903, plain, ( ~class_Enum_Oenum(_u3089) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u3089), _u3090)) | hBOOL(hAPP(_u3090, skolem64(_u3090, _u3089))) )).
% 39.89/40.12 cnf(matrix-1904, plain, ( ~class_Enum_Oenum(_u3089) | ~hBOOL(hAPP(_u3090, _u3088)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u3089), _u3090)) )).
% 39.89/40.12 cnf(matrix-1905, plain, ( ~c_Fun_Oinj__on(_u3091, _u3092, _u3093, _u3094) | ( _u3095 = _u3096) | ~hBOOL(hAPP(hAPP(c_member(_u3091), _u3095), _u3094)) | ~hBOOL(hAPP(hAPP(c_member(_u3091), _u3096), _u3094)) | ( hAPP(_u3093, _u3095) != hAPP(_u3093, _u3096)) )).
% 39.89/40.12 cnf(matrix-1906, plain, ( ~c_Fun_Oinj__on(_u3097, _u3098, _u3099, _u3100) | ~hBOOL(hAPP(hAPP(c_member(_u3097), _u3101), _u3100)) | ~hBOOL(hAPP(hAPP(c_member(_u3097), _u3102), _u3100)) | ( hAPP(_u3099, _u3101) != hAPP(_u3099, _u3102)) | ( _u3101 = _u3102) )).
% 39.89/40.12 cnf(matrix-1907, plain, ( ~c_Fun_Oinj__on(_u3097, _u3098, _u3099, _u3100) | ~hBOOL(hAPP(hAPP(c_member(_u3097), _u3101), _u3100)) | ~hBOOL(hAPP(hAPP(c_member(_u3097), _u3102), _u3100)) | ( _u3101 != _u3102) | ( hAPP(_u3099, _u3101) = hAPP(_u3099, _u3102)) )).
% 39.89/40.12 cnf(matrix-1908, plain, ( ~c_Fun_Oinj__on(_u3103, _u3104, _u3105, _u3106) | ( hAPP(_u3105, _u3107) != hAPP(_u3105, _u3108)) | ~hBOOL(hAPP(hAPP(c_member(_u3103), _u3107), _u3106)) | ~hBOOL(hAPP(hAPP(c_member(_u3103), _u3108), _u3106)) | ( _u3107 = _u3108) )).
% 39.89/40.12 cnf(matrix-1909, plain, ( ~c_Fun_Oinj__on(_u3109, _u3110, _u3111, _u3112) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3109, tc_HOL_Obool)), _u3113), _u3112)) | c_Fun_Oinj__on(_u3109, _u3110, _u3111, _u3113) )).
% 39.89/40.12 cnf(matrix-1910, plain, ( ~c_Fun_Oinj__on(_u3114, _u3115, _u3116, _u3117) | ~c_Fun_Oinj__on(_u3114, _u3115, _u3116, _u3118) | c_Fun_Oinj__on(_u3114, _u3115, _u3116, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3114, tc_HOL_Obool)), _u3117), _u3118)) )).
% 39.89/40.12 cnf(matrix-1911, plain, ( ~c_Fun_Oinj__on(_u3119, _u3120, hAPP(c_Fun_Ocomp(_u3121, _u3120, _u3119, _u3122), _u3123), _u3124) | c_Fun_Oinj__on(_u3119, _u3121, _u3123, _u3124) )).
% 39.89/40.12 cnf(matrix-1912, plain, ( ~c_Fun_Oinj__on(_u3125, _u3126, _u3127, _u3128) | c_Fun_Oinj__on(_u3125, _u3126, _u3127, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3125, tc_HOL_Obool)), _u3128), _u3129)) )).
% 39.89/40.12 cnf(matrix-1913, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3130), _u3131)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3130), _u3131)) )).
% 39.89/40.12 cnf(matrix-1914, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3134), _u3136)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3134), _u3136)) )).
% 39.89/40.12 cnf(matrix-1915, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3134), _u3136)) | ( _u3134 != _u3136) )).
% 39.89/40.12 cnf(matrix-1916, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3135), _u3137)) | ( _u3135 = _u3137) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3135), _u3137)) )).
% 39.89/40.12 cnf(matrix-1917, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3140), _u3142)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3140), _u3142)) | ( _u3140 = _u3142) )).
% 39.89/40.12 cnf(matrix-1918, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3141), _u3143)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3141), _u3143)) )).
% 39.89/40.12 cnf(matrix-1919, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3141), _u3143)) | ( _u3141 != _u3143) )).
% 39.89/40.12 cnf(matrix-1920, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3144), _u3145)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3144), _u3145)) )).
% 39.89/40.12 cnf(matrix-1921, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3146), _u3147)) | ( _u3146 = _u3147) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3146), _u3147)) )).
% 39.89/40.12 cnf(matrix-1922, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3148), _u3149)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3148), _u3149)) )).
% 39.89/40.12 cnf(matrix-1923, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3148), _u3149)) | ( _u3148 != _u3149) )).
% 39.89/40.12 cnf(matrix-1924, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3150), _u3151)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3150), _u3152)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3151), _u3150)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3152), _u3150))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3151), _u3152)) )).
% 39.89/40.12 cnf(matrix-1925, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3150), _u3151)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3150), _u3152)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3151), _u3152)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3151), _u3150)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3152), _u3150))) )).
% 39.89/40.12 cnf(matrix-1926, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3153), _u3154)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3155), _u3153)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3153), _u3155)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3154), _u3155))) )).
% 39.89/40.12 cnf(matrix-1927, plain, ( ~class_Orderings_Oorder(_u3156) | ~class_Orderings_Olinorder(_u3157) | ~c_Orderings_Oorder__class_Ostrict__mono(_u3157, _u3156, _u3158) | c_Fun_Oinj__on(_u3157, _u3156, _u3158, _u3159) )).
% 39.89/40.12 cnf(matrix-1928, plain, ( ~c_Fun_Oinj__on(_u3160, _u3161, _u3162, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3160, tc_HOL_Obool)), _u3163), _u3164)) | ( hAPP(c_Set_Oimage(_u3160, _u3161, _u3162), _u3163) != hAPP(c_Set_Oimage(_u3160, _u3161, _u3162), _u3164)) | ( _u3163 = _u3164) )).
% 39.89/40.12 cnf(matrix-1929, plain, ( ~c_Fun_Oinj__on(_u3160, _u3161, _u3162, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3160, tc_HOL_Obool)), _u3163), _u3164)) | ( _u3163 != _u3164) | ( hAPP(c_Set_Oimage(_u3160, _u3161, _u3162), _u3163) = hAPP(c_Set_Oimage(_u3160, _u3161, _u3162), _u3164)) )).
% 39.89/40.12 cnf(matrix-1930, plain, ( ~c_Fun_Oinj__on(_u3165, _u3166, _u3167, _u3168) | ~c_Fun_Oinj__on(_u3166, _u3169, _u3170, hAPP(c_Set_Oimage(_u3165, _u3166, _u3167), _u3168)) | c_Fun_Oinj__on(_u3165, _u3169, hAPP(c_Fun_Ocomp(_u3166, _u3169, _u3165, _u3170), _u3167), _u3168) )).
% 39.89/40.12 cnf(matrix-1931, plain, ( ~c_Fun_Oinj__on(_u3165, _u3166, _u3167, _u3168) | ~c_Fun_Oinj__on(_u3165, _u3169, hAPP(c_Fun_Ocomp(_u3166, _u3169, _u3165, _u3170), _u3167), _u3168) | c_Fun_Oinj__on(_u3166, _u3169, _u3170, hAPP(c_Set_Oimage(_u3165, _u3166, _u3167), _u3168)) )).
% 39.89/40.12 cnf(matrix-1932, plain, ( ~c_Fun_Oinj__on(_u3171, _u3172, _u3173, _u3174) | ~c_Fun_Oinj__on(_u3172, _u3175, _u3176, hAPP(c_Set_Oimage(_u3171, _u3172, _u3173), _u3174)) | c_Fun_Oinj__on(_u3171, _u3175, hAPP(c_Fun_Ocomp(_u3172, _u3175, _u3171, _u3176), _u3173), _u3174) )).
% 39.89/40.12 cnf(matrix-1933, plain, ( ~c_Fun_Oinj__on(_u3177, _u3178, hAPP(c_Fun_Ocomp(_u3179, _u3178, _u3177, _u3180), _u3181), _u3182) | c_Fun_Oinj__on(_u3179, _u3178, _u3180, hAPP(c_Set_Oimage(_u3177, _u3179, _u3181), _u3182)) )).
% 39.89/40.12 cnf(matrix-1934, plain, ( ~c_Fun_Oinj__on(_u3183, _u3184, _u3185, _u3186) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3183, tc_HOL_Obool)), _u3187), _u3186)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3184, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u3183, _u3184, _u3185), _u3187)), hAPP(c_Set_Oimage(_u3183, _u3184, _u3185), _u3186))) )).
% 39.89/40.12 cnf(matrix-1935, plain, ( ~c_Fun_Oinj__on(_u3188, _u3189, _u3190, _u3191) | ~hBOOL(hAPP(hAPP(c_member(_u3188), _u3192), _u3191)) | ( hAPP(c_Fun_Othe__inv__into(_u3188, _u3189, _u3191, _u3190), hAPP(_u3190, _u3192)) = _u3192) )).
% 39.89/40.12 cnf(matrix-1936, plain, ( ~c_Fun_Oinj__on(_u3193, _u3194, _u3195, _u3196) | ( hAPP(_u3195, _u3197) != _u3198) | ~hBOOL(hAPP(hAPP(c_member(_u3193), _u3197), _u3196)) | ( hAPP(c_Fun_Othe__inv__into(_u3193, _u3194, _u3196, _u3195), _u3198) = _u3197) )).
% 39.89/40.12 cnf(matrix-1937, plain, ( ~c_Fun_Oinj__on(_u3199, _u3200, _u3201, _u3202) | c_Fun_Oinj__on(_u3200, _u3199, c_Fun_Othe__inv__into(_u3199, _u3200, _u3202, _u3201), hAPP(c_Set_Oimage(_u3199, _u3200, _u3201), _u3202)) )).
% 39.89/40.12 cnf(matrix-1938, plain, ( ~c_Fun_Oinj__on(_u3203, _u3204, _u3205, _u3206) | ( hAPP(c_Set_Oimage(_u3204, _u3203, c_Fun_Othe__inv__into(_u3203, _u3204, _u3206, _u3205)), hAPP(c_Set_Oimage(_u3203, _u3204, _u3205), _u3206)) = _u3206) )).
% 39.89/40.12 cnf(matrix-1939, plain, ( ( c_Map_Odom(_u3207, _u3208, hAPP(hAPP(c_COMBS(_u3207, tc_Option_Ooption(_u3208), tc_Option_Ooption(_u3208)), hAPP(hAPP(c_COMBS(_u3207, tc_Option_Ooption(_u3208), tc_fun(tc_Option_Ooption(_u3208), tc_Option_Ooption(_u3208))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_Option_Ooption(_u3208), tc_fun(tc_Option_Ooption(_u3208), tc_Option_Ooption(_u3208))), _u3207), c_If(tc_Option_Ooption(_u3208))), _u3209)), _u3210)), _u3211)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3207, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3207, tc_HOL_Obool)), c_Map_Odom(_u3207, _u3208, _u3210)), hAPP(c_Set_OCollect(_u3207), _u3209))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3207, tc_HOL_Obool)), c_Map_Odom(_u3207, _u3208, _u3211)), hAPP(c_Set_OCollect(_u3207), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u3207), c_fNot), _u3209))))) )).
% 39.89/40.12 cnf(matrix-1940, plain, ( ~c_Fun_Oinj__on(_u3212, _u3213, _u3214, _u3215) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3212, tc_HOL_Obool)), _u3216), _u3215)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3212, tc_HOL_Obool)), _u3217), _u3215)) | ( hAPP(c_Set_Oimage(_u3212, _u3213, _u3214), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3212, tc_HOL_Obool)), _u3216), _u3217)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3213, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u3212, _u3213, _u3214), _u3216)), hAPP(c_Set_Oimage(_u3212, _u3213, _u3214), _u3217))) )).
% 39.89/40.12 cnf(matrix-1941, plain, ( ~c_Fun_Oinj__on(_u3218, _u3219, _u3220, _u3221) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3218, tc_HOL_Obool)), _u3222), _u3221)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3218, tc_HOL_Obool)), _u3223), _u3221)) | ( hAPP(c_Set_Oimage(_u3218, _u3219, _u3220), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3218, tc_HOL_Obool)), _u3222), _u3223)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3219, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u3218, _u3219, _u3220), _u3222)), hAPP(c_Set_Oimage(_u3218, _u3219, _u3220), _u3223))) )).
% 39.89/40.12 cnf(matrix-1942, plain, ( ~c_Fun_Oinj__on(_u3224, _u3225, _u3226, _u3227) | hBOOL(hAPP(hAPP(c_member(_u3225), _u3228), hAPP(c_Set_Oimage(_u3224, _u3225, _u3226), _u3227))) | c_Fun_Oinj__on(_u3224, _u3225, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3224, _u3225), _u3226), _u3229), _u3228), _u3227) )).
% 39.89/40.12 cnf(matrix-1943, plain, ( ~c_Fun_Oinj__on(_u3230, _u3231, _u3232, _u3233) | ~hBOOL(hAPP(hAPP(c_member(_u3231), _u3234), hAPP(c_Set_Oimage(_u3230, _u3231, _u3232), _u3233))) | ( hAPP(_u3232, hAPP(c_Fun_Othe__inv__into(_u3230, _u3231, _u3233, _u3232), _u3234)) = _u3234) )).
% 39.89/40.12 cnf(matrix-1944, plain, ( ~c_Fun_Oinj__on(_u3235, _u3236, _u3237, _u3238) | ~hBOOL(hAPP(hAPP(c_member(_u3236), _u3239), hAPP(c_Set_Oimage(_u3235, _u3236, _u3237), _u3238))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3235, tc_HOL_Obool)), _u3238), _u3240)) | hBOOL(hAPP(hAPP(c_member(_u3235), hAPP(c_Fun_Othe__inv__into(_u3235, _u3236, _u3238, _u3237), _u3239)), _u3240)) )).
% 39.89/40.12 cnf(matrix-1945, plain, ( ~c_Fun_Oinj__on(_u3241, _u3242, _u3243, hAPP(c_Set_Oimage(_u3244, _u3241, _u3245), _u3246)) | ~c_Fun_Oinj__on(_u3244, _u3241, _u3245, _u3246) | ~hBOOL(hAPP(hAPP(c_member(_u3242), _u3247), hAPP(c_Set_Oimage(_u3241, _u3242, _u3243), hAPP(c_Set_Oimage(_u3244, _u3241, _u3245), _u3246)))) | ( hAPP(c_Fun_Othe__inv__into(_u3244, _u3242, _u3246, hAPP(c_Fun_Ocomp(_u3241, _u3242, _u3244, _u3243), _u3245)), _u3247) = hAPP(hAPP(c_Fun_Ocomp(_u3241, _u3244, _u3242, c_Fun_Othe__inv__into(_u3244, _u3241, _u3246, _u3245)), c_Fun_Othe__inv__into(_u3241, _u3242, hAPP(c_Set_Oimage(_u3244, _u3241, _u3245), _u3246), _u3243)), _u3247)) )).
% 39.89/40.12 cnf(matrix-1946, plain, ( ( _u3252 = c_Orderings_Obot__class_Obot(tc_fun(_u3253, tc_HOL_Obool))) | ~c_Fun_Oinj__on(_u3253, _u3254, _u3248, _u3252) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3254, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u3253, _u3254, _u3248), _u3252)), _u3255)) | ( hAPP(c_Set_Oimage(_u3254, _u3253, skolem65(_u3255, _u3254, _u3253, _u3252)), _u3255) = _u3252) )).
% 39.89/40.12 cnf(matrix-1947, plain, ( ( _u3252 = c_Orderings_Obot__class_Obot(tc_fun(_u3253, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u3254, _u3253, _u3250), _u3255) != _u3252) | c_Fun_Oinj__on(_u3253, _u3254, skolem66(_u3255, _u3254, _u3253, _u3252), _u3252) )).
% 39.89/40.12 cnf(matrix-1948, plain, ( ( _u3252 = c_Orderings_Obot__class_Obot(tc_fun(_u3253, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u3254, _u3253, _u3250), _u3255) != _u3252) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3254, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u3253, _u3254, skolem66(_u3255, _u3254, _u3253, _u3252)), _u3252)), _u3255)) )).
% 39.89/40.12 cnf(matrix-1949, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u3262), _u3264), _u3266)) | ( c_Map_Orestrict__map(_u3262, _u3268, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3262, tc_Option_Ooption(_u3268)), _u3270), _u3264), _u3272), _u3266) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3262, tc_Option_Ooption(_u3268)), c_Map_Orestrict__map(_u3262, _u3268, _u3270, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3262, tc_HOL_Obool)), _u3266), hAPP(hAPP(c_Set_Oinsert(_u3262), _u3264), c_Orderings_Obot__class_Obot(tc_fun(_u3262, tc_HOL_Obool)))))), _u3264), _u3272)) )).
% 39.89/40.12 cnf(matrix-1950, plain, ( hBOOL(hAPP(hAPP(c_member(_u3263), _u3265), _u3267)) | ( c_Map_Orestrict__map(_u3263, _u3269, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3263, tc_Option_Ooption(_u3269)), _u3271), _u3265), _u3273), _u3267) = c_Map_Orestrict__map(_u3263, _u3269, _u3271, _u3267)) )).
% 39.89/40.12 cnf(matrix-1951, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u3274), _u3275), _u3276)) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3274, tc_Option_Ooption(_u3277)), c_Map_Orestrict__map(_u3274, _u3277, _u3278, _u3276)), _u3275), _u3279) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3274, tc_Option_Ooption(_u3277)), c_Map_Orestrict__map(_u3274, _u3277, _u3278, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3274, tc_HOL_Obool)), _u3276), hAPP(hAPP(c_Set_Oinsert(_u3274), _u3275), c_Orderings_Obot__class_Obot(tc_fun(_u3274, tc_HOL_Obool)))))), _u3275), _u3279)) )).
% 39.89/40.12 cnf(matrix-1952, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u3284), _u3286), _u3288)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3284, tc_Nat_Onat), _u3290), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3284, tc_HOL_Obool)), _u3288), hAPP(hAPP(c_Set_Oinsert(_u3284), _u3286), c_Orderings_Obot__class_Obot(tc_fun(_u3284, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3284, tc_Nat_Onat), _u3290), _u3288)), hAPP(_u3290, _u3286))) )).
% 39.89/40.12 cnf(matrix-1953, plain, ( hBOOL(hAPP(hAPP(c_member(_u3285), _u3287), _u3289)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3285, tc_Nat_Onat), _u3291), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3285, tc_HOL_Obool)), _u3289), hAPP(hAPP(c_Set_Oinsert(_u3285), _u3287), c_Orderings_Obot__class_Obot(tc_fun(_u3285, tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3285, tc_Nat_Onat), _u3291), _u3289)) )).
% 39.89/40.12 cnf(matrix-1954, plain, ( ( _u3297 != c_Option_Ooption_ONone(_u3299)) | ( c_Map_Odom(_u3301, _u3299, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3301, tc_Option_Ooption(_u3299)), _u3303), _u3305), _u3297)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3301, tc_HOL_Obool)), c_Map_Odom(_u3301, _u3299, _u3303)), hAPP(hAPP(c_Set_Oinsert(_u3301), _u3305), c_Orderings_Obot__class_Obot(tc_fun(_u3301, tc_HOL_Obool))))) )).
% 39.89/40.12 cnf(matrix-1955, plain, ( ( _u3298 = c_Option_Ooption_ONone(_u3300)) | ( c_Map_Odom(_u3302, _u3300, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3302, tc_Option_Ooption(_u3300)), _u3304), _u3306), _u3298)) = hAPP(hAPP(c_Set_Oinsert(_u3302), _u3306), c_Map_Odom(_u3302, _u3300, _u3304))) )).
% 39.89/40.12 cnf(matrix-1956, plain, ( ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3307, tc_Option_Ooption(_u3308)), c_Map_Orestrict__map(_u3307, _u3308, _u3309, _u3310)), _u3311), _u3312) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3307, tc_Option_Ooption(_u3308)), c_Map_Orestrict__map(_u3307, _u3308, _u3309, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3307, tc_HOL_Obool)), _u3310), hAPP(hAPP(c_Set_Oinsert(_u3307), _u3311), c_Orderings_Obot__class_Obot(tc_fun(_u3307, tc_HOL_Obool)))))), _u3311), _u3312)) )).
% 39.89/40.12 cnf(matrix-1957, plain, ( ~c_Fun_Oinj__on(_u3313, tc_fun(tc_fun(_u3313, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u3313, tc_fun(tc_prod(_u3313, _u3313), tc_HOL_Obool), tc_fun(tc_fun(_u3313, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3313, tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u3313, _u3313), tc_HOL_Obool), tc_fun(tc_fun(_u3313, tc_HOL_Obool), tc_HOL_Obool)), _u3313), c_Equiv__Relations_Oquotient(_u3313)), hAPP(hAPP(c_COMBC(_u3313, tc_fun(_u3313, tc_HOL_Obool), tc_fun(_u3313, tc_HOL_Obool)), c_Set_Oinsert(_u3313)), c_Orderings_Obot__class_Obot(tc_fun(_u3313, tc_HOL_Obool))))), _u3314), _u3315) | ~hBOOL(hAPP(hAPP(c_member(_u3313), _u3316), _u3315)) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u3313), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3313, tc_HOL_Obool)), _u3315), hAPP(hAPP(c_Set_Oinsert(_u3313), _u3316), c_Orderings_Obot__class_Obot(tc_fun(_u3313, tc_HOL_Obool))))), _u3314) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_fun(_u3313, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u3313), _u3315), _u3314)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u3313), hAPP(hAPP(c_Set_Oinsert(_u3313), _u3316), c_Orderings_Obot__class_Obot(tc_fun(_u3313, tc_HOL_Obool)))), _u3314))) )).
% 39.89/40.12 cnf(matrix-1958, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3317, tc_HOL_Obool)), c_Map_Odom(_u3317, _u3318, _u3319)), c_Map_Odom(_u3317, _u3318, _u3320)) != c_Orderings_Obot__class_Obot(tc_fun(_u3317, tc_HOL_Obool))) | ( c_Map_Omap__add(_u3317, _u3318, _u3319, _u3320) = c_Map_Omap__add(_u3317, _u3318, _u3320, _u3319)) )).
% 39.89/40.12 cnf(matrix-1959, plain, ( c_Finite__Set_Ofun__left__comm__idem(_u3321, tc_fun(_u3321, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u3321, tc_HOL_Obool), tc_fun(tc_fun(_u3321, tc_HOL_Obool), tc_fun(_u3321, tc_HOL_Obool)), _u3321), hAPP(c_COMBC(tc_fun(_u3321, tc_HOL_Obool), tc_fun(_u3321, tc_HOL_Obool), tc_fun(_u3321, tc_HOL_Obool)), c_Groups_Ominus__class_Ominus(tc_fun(_u3321, tc_HOL_Obool)))), hAPP(hAPP(c_COMBC(_u3321, tc_fun(_u3321, tc_HOL_Obool), tc_fun(_u3321, tc_HOL_Obool)), c_Set_Oinsert(_u3321)), c_Orderings_Obot__class_Obot(tc_fun(_u3321, tc_HOL_Obool))))) )).
% 39.89/40.12 cnf(matrix-1960, plain, ( ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3322, tc_Option_Ooption(_u3323)), hAPP(c_COMBK(tc_Option_Ooption(_u3323), _u3322), c_Option_Ooption_ONone(_u3323))), _u3324), c_Option_Ooption_ONone(_u3323)), _u3325) = c_Option_Ooption_ONone(_u3323)) )).
% 39.89/40.12 cnf(matrix-1961, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3326), _u3327)) | ( _u3326 = _u3327) | hBOOL(hAPP(hAPP(_u3328, _u3327), _u3326)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3327), _u3326)) )).
% 39.89/40.12 cnf(matrix-1962, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3329), _u3330)) | ( _u3329 != _u3330) )).
% 39.89/40.12 cnf(matrix-1963, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3331), _u3332)) | ( _u3332 != _u3331) )).
% 39.89/40.12 cnf(matrix-1964, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3333), _u3333)) )).
% 39.89/40.12 cnf(matrix-1965, plain, ( ( _u3334 = _u3335) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3334), _u3335)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3335), _u3334)) )).
% 39.89/40.12 cnf(matrix-1966, plain, ( ( _u3338 = _u3340) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3338), _u3340)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3340), _u3338)) )).
% 39.89/40.12 cnf(matrix-1967, plain, ( ( _u3339 != _u3341) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3339), _u3341)) )).
% 39.89/40.12 cnf(matrix-1968, plain, ( ( _u3339 != _u3341) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3341), _u3339)) )).
% 39.89/40.12 cnf(matrix-1969, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3342), _u3342)) )).
% 39.89/40.12 cnf(matrix-1970, plain, ( ( hAPP(c_Map_Omap__add(_u3348, _u3350, _u3352, _u3354), _u3356) != c_Option_Ooption_ONone(_u3350)) | ( hAPP(_u3354, _u3356) = c_Option_Ooption_ONone(_u3350)) )).
% 39.89/40.12 cnf(matrix-1971, plain, ( ( hAPP(c_Map_Omap__add(_u3348, _u3350, _u3352, _u3354), _u3356) != c_Option_Ooption_ONone(_u3350)) | ( hAPP(_u3352, _u3356) = c_Option_Ooption_ONone(_u3350)) )).
% 39.89/40.12 cnf(matrix-1972, plain, ( ( hAPP(_u3355, _u3357) != c_Option_Ooption_ONone(_u3351)) | ( hAPP(_u3353, _u3357) != c_Option_Ooption_ONone(_u3351)) | ( hAPP(c_Map_Omap__add(_u3349, _u3351, _u3353, _u3355), _u3357) = c_Option_Ooption_ONone(_u3351)) )).
% 39.89/40.12 cnf(matrix-1973, plain, ( ( hAPP(c_Map_Orestrict__map(_u3358, _u3359, hAPP(c_COMBK(tc_Option_Ooption(_u3359), _u3358), c_Option_Ooption_ONone(_u3359)), _u3360), _u3361) = c_Option_Ooption_ONone(_u3359)) )).
% 39.89/40.12 cnf(matrix-1974, plain, ( ( c_Map_Omap__add(_u3362, _u3363, hAPP(c_COMBK(tc_Option_Ooption(_u3363), _u3362), c_Option_Ooption_ONone(_u3363)), _u3364) = _u3364) )).
% 39.89/40.12 cnf(matrix-1975, plain, ( ( c_Map_Omap__add(_u3365, _u3366, _u3367, c_Map_Omap__add(_u3365, _u3366, _u3368, _u3369)) = c_Map_Omap__add(_u3365, _u3366, c_Map_Omap__add(_u3365, _u3366, _u3367, _u3368), _u3369)) )).
% 39.89/40.12 cnf(matrix-1976, plain, ( ( c_Map_Omap__add(_u3370, _u3371, _u3372, hAPP(c_COMBK(tc_Option_Ooption(_u3371), _u3370), c_Option_Ooption_ONone(_u3371))) = _u3372) )).
% 39.89/40.12 cnf(matrix-1977, plain, ( hBOOL(hAPP(hAPP(c_member(_u3373), _u3374), _u3375)) | ( hAPP(c_Map_Orestrict__map(_u3373, _u3376, _u3377, _u3375), _u3374) = c_Option_Ooption_ONone(_u3376)) )).
% 39.89/40.12 cnf(matrix-1978, plain, ( ~class_Groups_Ocomm__monoid__add(_u3378) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3379, _u3378), hAPP(hAPP(c_COMBC(_u3379, tc_fun(_u3380, tc_HOL_Obool), _u3378), hAPP(hAPP(c_COMBB(tc_fun(_u3380, _u3378), tc_fun(tc_fun(_u3380, tc_HOL_Obool), _u3378), _u3379), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3380, _u3378)), _u3381)), _u3382)), _u3383) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3380, _u3378), hAPP(hAPP(c_COMBC(_u3380, tc_fun(_u3379, tc_HOL_Obool), _u3378), hAPP(hAPP(c_COMBB(tc_fun(_u3379, _u3378), tc_fun(tc_fun(_u3379, tc_HOL_Obool), _u3378), _u3380), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3379, _u3378)), hAPP(c_COMBC(_u3379, _u3380, _u3378), _u3381))), _u3383)), _u3382)) )).
% 39.89/40.12 cnf(matrix-1979, plain, ( ~c_Finite__Set_Ofun__left__comm__idem(_u3384, _u3385, _u3386) | c_Finite__Set_Ofun__left__comm__idem(_u3387, _u3385, hAPP(hAPP(c_COMBB(_u3384, tc_fun(_u3385, _u3385), _u3387), _u3386), _u3388)) )).
% 39.89/40.12 cnf(matrix-1980, plain, ( ( hAPP(hAPP(_u3391, _u3392), hAPP(hAPP(_u3391, _u3392), _u3393)) = hAPP(hAPP(_u3391, _u3392), _u3393)) | ~c_Finite__Set_Ofun__left__comm__idem(_u3389, _u3390, _u3391) )).
% 39.89/40.12 cnf(matrix-1981, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u3399), _u3401), _u3403)) | ( hAPP(c_Map_Orestrict__map(_u3399, _u3405, _u3407, _u3403), _u3401) = hAPP(_u3407, _u3401)) )).
% 39.89/40.12 cnf(matrix-1982, plain, ( hBOOL(hAPP(hAPP(c_member(_u3400), _u3402), _u3404)) | ( hAPP(c_Map_Orestrict__map(_u3400, _u3406, _u3408, _u3404), _u3402) = c_Option_Ooption_ONone(_u3406)) )).
% 39.89/40.12 cnf(matrix-1983, plain, ( ( hAPP(c_Map_Orestrict__map(_u3409, _u3410, _u3411, c_Orderings_Obot__class_Obot(tc_fun(_u3409, tc_HOL_Obool))), _u3412) = c_Option_Ooption_ONone(_u3410)) )).
% 39.89/40.12 cnf(matrix-1984, plain, ( c_Finite__Set_Ofun__left__comm__idem(_u3413, tc_fun(_u3413, tc_HOL_Obool), c_Set_Oinsert(_u3413)) )).
% 39.89/40.12 cnf(matrix-1985, plain, ( ~class_Lattices_Osemilattice__sup(_u3414) | c_Finite__Set_Ofun__left__comm__idem(_u3414, _u3414, c_Lattices_Osemilattice__sup__class_Osup(_u3414)) )).
% 39.89/40.12 cnf(matrix-1986, plain, ( ~class_Lattices_Osemilattice__inf(_u3415) | c_Finite__Set_Ofun__left__comm__idem(_u3415, _u3415, c_Lattices_Osemilattice__inf__class_Oinf(_u3415)) )).
% 39.89/40.12 cnf(matrix-1987, plain, ( ( hAPP(c_Fun_Ocomp(_u3417, _u3417, _u3417, hAPP(_u3418, _u3419)), hAPP(_u3418, _u3419)) = hAPP(_u3418, _u3419)) | ~c_Finite__Set_Ofun__left__comm__idem(_u3416, _u3417, _u3418) )).
% 39.89/40.12 cnf(matrix-1988, plain, ( ~class_Groups_Oab__group__add(_u3420) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3421, _u3420), hAPP(hAPP(c_COMBS(_u3421, _u3420, _u3420), hAPP(hAPP(c_COMBB(_u3420, tc_fun(_u3420, _u3420), _u3421), c_Groups_Ominus__class_Ominus(_u3420)), _u3422)), _u3423)), _u3424) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3420), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3421, _u3420), _u3422), _u3424)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3421, _u3420), _u3423), _u3424))) )).
% 39.89/40.12 cnf(matrix-1989, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u3425), _u3426), _u3427)) | ( hAPP(c_Map_Orestrict__map(_u3425, _u3428, _u3429, _u3427), _u3426) = hAPP(_u3429, _u3426)) )).
% 39.89/40.12 cnf(matrix-1990, plain, ( ( c_Map_Orestrict__map(_u3430, _u3431, _u3432, hAPP(hAPP(c_Set_Oinsert(_u3430), _u3433), _u3434)) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3430, tc_Option_Ooption(_u3431)), c_Map_Orestrict__map(_u3430, _u3431, _u3432, _u3434)), _u3433), hAPP(_u3432, _u3433))) )).
% 39.89/40.12 cnf(matrix-1991, plain, ( ( c_Map_Orestrict__map(_u3435, _u3436, c_Map_Orestrict__map(_u3435, _u3436, _u3437, _u3438), _u3439) = c_Map_Orestrict__map(_u3435, _u3436, _u3437, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3435, tc_HOL_Obool)), _u3438), _u3439))) )).
% 39.89/40.12 cnf(matrix-1992, plain, ( ~c_Fun_Oinj__on(_u3444, tc_Option_Ooption(_u3446), c_Map_Omap__add(_u3444, _u3446, _u3448, _u3450), c_Map_Odom(_u3444, _u3446, _u3450)) | c_Fun_Oinj__on(_u3444, tc_Option_Ooption(_u3446), _u3450, c_Map_Odom(_u3444, _u3446, _u3450)) )).
% 39.89/40.12 cnf(matrix-1993, plain, ( ~c_Fun_Oinj__on(_u3445, tc_Option_Ooption(_u3447), _u3451, c_Map_Odom(_u3445, _u3447, _u3451)) | c_Fun_Oinj__on(_u3445, tc_Option_Ooption(_u3447), c_Map_Omap__add(_u3445, _u3447, _u3449, _u3451), c_Map_Odom(_u3445, _u3447, _u3451)) )).
% 39.89/40.12 cnf(matrix-1994, plain, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u3455), _u3457), _u3459) != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u3455, tc_HOL_Obool), tc_HOL_Obool))) | ( _u3457 = c_Orderings_Obot__class_Obot(tc_fun(_u3455, tc_HOL_Obool))) )).
% 39.89/40.12 cnf(matrix-1995, plain, ( ( _u3458 != c_Orderings_Obot__class_Obot(tc_fun(_u3456, tc_HOL_Obool))) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u3456), _u3458), _u3460) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u3456, tc_HOL_Obool), tc_HOL_Obool))) )).
% 39.89/40.12 cnf(matrix-1996, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u3464, tc_HOL_Obool), tc_HOL_Obool)) != hAPP(hAPP(c_Equiv__Relations_Oquotient(_u3464), _u3466), _u3468)) | ( _u3466 = c_Orderings_Obot__class_Obot(tc_fun(_u3464, tc_HOL_Obool))) )).
% 39.89/40.12 cnf(matrix-1997, plain, ( ( _u3467 != c_Orderings_Obot__class_Obot(tc_fun(_u3465, tc_HOL_Obool))) | ( c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u3465, tc_HOL_Obool), tc_HOL_Obool)) = hAPP(hAPP(c_Equiv__Relations_Oquotient(_u3465), _u3467), _u3469)) )).
% 39.89/40.12 cnf(matrix-1998, plain, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u3470), c_Orderings_Obot__class_Obot(tc_fun(_u3470, tc_HOL_Obool))), _u3471) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u3470, tc_HOL_Obool), tc_HOL_Obool))) )).
% 39.89/40.12 cnf(matrix-1999, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u3477), _u3479), _u3481)) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3477, tc_Option_Ooption(_u3483)), c_Map_Orestrict__map(_u3477, _u3483, _u3485, _u3481)), _u3479), c_Option_Ooption_ONone(_u3483)) = c_Map_Orestrict__map(_u3477, _u3483, _u3485, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3477, tc_HOL_Obool)), _u3481), hAPP(hAPP(c_Set_Oinsert(_u3477), _u3479), c_Orderings_Obot__class_Obot(tc_fun(_u3477, tc_HOL_Obool)))))) )).
% 39.89/40.12 cnf(matrix-2000, plain, ( hBOOL(hAPP(hAPP(c_member(_u3478), _u3480), _u3482)) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3478, tc_Option_Ooption(_u3484)), c_Map_Orestrict__map(_u3478, _u3484, _u3486, _u3482)), _u3480), c_Option_Ooption_ONone(_u3484)) = c_Map_Orestrict__map(_u3478, _u3484, _u3486, _u3482)) )).
% 39.89/40.12 cnf(matrix-2001, plain, ( ( hAPP(_u3497, _u3493) != c_Option_Ooption_ONone(_u3495)) | ~hBOOL(hAPP(hAPP(c_member(_u3491), _u3493), c_Map_Odom(_u3491, _u3495, _u3497))) )).
% 39.89/40.12 cnf(matrix-2002, plain, ( ( hAPP(_u3498, _u3494) = c_Option_Ooption_ONone(_u3496)) | hBOOL(hAPP(hAPP(c_member(_u3492), _u3494), c_Map_Odom(_u3492, _u3496, _u3498))) )).
% 39.89/40.12 cnf(matrix-2003, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u3499), _u3500), c_Map_Odom(_u3499, _u3501, _u3502))) | ( hAPP(c_Map_Omap__add(_u3499, _u3501, _u3503, _u3502), _u3500) = hAPP(_u3502, _u3500)) )).
% 39.89/40.12 cnf(matrix-2004, plain, ( hBOOL(hAPP(hAPP(c_member(_u3504), _u3505), c_Map_Odom(_u3504, _u3506, _u3507))) | ( hAPP(c_Map_Omap__add(_u3504, _u3506, _u3508, _u3507), _u3505) = hAPP(_u3508, _u3505)) )).
% 39.89/40.12 cnf(matrix-2005, plain, ( hBOOL(hAPP(hAPP(c_member(_u3509), _u3510), c_Map_Odom(_u3509, _u3511, _u3512))) | ( hAPP(c_Map_Omap__add(_u3509, _u3511, _u3512, _u3513), _u3510) = hAPP(_u3513, _u3510)) )).
% 39.89/40.12 cnf(matrix-2006, plain, ( ( c_Map_Odom(_u3517, _u3519, _u3521) != c_Orderings_Obot__class_Obot(tc_fun(_u3517, tc_HOL_Obool))) | ( _u3521 = hAPP(c_COMBK(tc_Option_Ooption(_u3519), _u3517), c_Option_Ooption_ONone(_u3519))) )).
% 39.89/40.12 cnf(matrix-2007, plain, ( ( _u3522 != hAPP(c_COMBK(tc_Option_Ooption(_u3520), _u3518), c_Option_Ooption_ONone(_u3520))) | ( c_Map_Odom(_u3518, _u3520, _u3522) = c_Orderings_Obot__class_Obot(tc_fun(_u3518, tc_HOL_Obool))) )).
% 39.89/40.12 cnf(matrix-2008, plain, ( ( c_Map_Odom(_u3523, _u3524, hAPP(c_COMBK(tc_Option_Ooption(_u3524), _u3523), c_Option_Ooption_ONone(_u3524))) = c_Orderings_Obot__class_Obot(tc_fun(_u3523, tc_HOL_Obool))) )).
% 39.89/40.12 cnf(matrix-2009, plain, ( ( c_Map_Odom(_u3525, _u3526, _u3527) = hAPP(c_Set_OCollect(_u3525), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u3525), c_fNot), hAPP(hAPP(c_COMBC(_u3525, tc_Option_Ooption(_u3526), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Option_Ooption(_u3526), tc_fun(tc_Option_Ooption(_u3526), tc_HOL_Obool), _u3525), c_fequal), _u3527)), c_Option_Ooption_ONone(_u3526))))) )).
% 39.89/40.12 cnf(matrix-2010, plain, ( ( c_Map_Odom(_u3528, _u3529, c_Map_Omap__add(_u3528, _u3529, _u3530, _u3531)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3528, tc_HOL_Obool)), c_Map_Odom(_u3528, _u3529, _u3531)), c_Map_Odom(_u3528, _u3529, _u3530))) )).
% 39.89/40.12 cnf(matrix-2011, plain, ( ( c_Map_Odom(_u3532, _u3533, c_Map_Orestrict__map(_u3532, _u3533, _u3534, _u3535)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3532, tc_HOL_Obool)), c_Map_Odom(_u3532, _u3533, _u3534)), _u3535)) )).
% 39.89/40.12 cnf(matrix-2012, plain, ( ~class_Groups_Ocomm__monoid__add(_u3536) | ~c_Fun_Oinj__on(_u3537, _u3538, _u3539, _u3540) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3538, _u3536), _u3541), hAPP(c_Set_Oimage(_u3537, _u3538, _u3539), _u3540)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3537, _u3536), hAPP(c_Fun_Ocomp(_u3538, _u3536, _u3537, _u3541), _u3539)), _u3540)) )).
% 39.89/40.12 cnf(matrix-2013, plain, ( ( hAPP(_u3542, _u3543) != c_Option_Ooption_ONone(_u3544)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3545, tc_HOL_Obool)), c_Map_Odom(_u3545, _u3544, _u3542)), hAPP(hAPP(c_Set_Oinsert(_u3545), _u3543), _u3546)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3545, tc_HOL_Obool)), c_Map_Odom(_u3545, _u3544, _u3542)), _u3546)) )).
% 39.89/40.12 cnf(matrix-2014, plain, ( ~class_Groups_Oab__group__add(_u3547) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3548), _u3549)) | ~hBOOL(hAPP(hAPP(c_member(_u3548), _u3550), _u3549)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3548, _u3547), _u3551), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3548, tc_HOL_Obool)), _u3549), hAPP(hAPP(c_Set_Oinsert(_u3548), _u3550), c_Orderings_Obot__class_Obot(tc_fun(_u3548, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3547), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3548, _u3547), _u3551), _u3549)), hAPP(_u3551, _u3550))) )).
% 39.89/40.12 cnf(matrix-2015, plain, ( ~class_Groups_Oab__group__add(_u3547) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3548), _u3549)) | hBOOL(hAPP(hAPP(c_member(_u3548), _u3550), _u3549)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3548, _u3547), _u3551), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3548, tc_HOL_Obool)), _u3549), hAPP(hAPP(c_Set_Oinsert(_u3548), _u3550), c_Orderings_Obot__class_Obot(tc_fun(_u3548, tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3548, _u3547), _u3551), _u3549)) )).
% 39.89/40.12 cnf(matrix-2016, plain, ( ~class_Rings_Oring(_u3552) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3553), _u3554)) | ~hBOOL(hAPP(hAPP(c_member(_u3553), _u3555), _u3554)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3553, _u3552), _u3556), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3553, tc_HOL_Obool)), _u3554), hAPP(hAPP(c_Set_Oinsert(_u3553), _u3555), c_Orderings_Obot__class_Obot(tc_fun(_u3553, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3552), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3553, _u3552), _u3556), _u3554)), hAPP(_u3556, _u3555))) )).
% 39.89/40.12 cnf(matrix-2017, plain, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u3557), hAPP(hAPP(c_Set_Oinsert(_u3557), _u3558), c_Orderings_Obot__class_Obot(tc_fun(_u3557, tc_HOL_Obool)))), _u3559) = hAPP(hAPP(c_Set_Oinsert(tc_fun(_u3557, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u3557, _u3557, _u3559), hAPP(hAPP(c_Set_Oinsert(_u3557), _u3558), c_Orderings_Obot__class_Obot(tc_fun(_u3557, tc_HOL_Obool))))), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u3557, tc_HOL_Obool), tc_HOL_Obool)))) )).
% 39.89/40.12 cnf(matrix-2018, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u3560), _u3561), _u3562)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u3560, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u3560, _u3560, _u3563), hAPP(hAPP(c_Set_Oinsert(_u3560), _u3561), c_Orderings_Obot__class_Obot(tc_fun(_u3560, tc_HOL_Obool))))), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u3560), _u3562), _u3563))) )).
% 39.89/40.12 cnf(matrix-2019, plain, ( ( c_Map_Odom(_u3570, _u3572, _u3574) != hAPP(hAPP(c_Set_Oinsert(_u3570), _u3576), c_Orderings_Obot__class_Obot(tc_fun(_u3570, tc_HOL_Obool)))) | ( _u3574 = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3570, tc_Option_Ooption(_u3572)), hAPP(c_COMBK(tc_Option_Ooption(_u3572), _u3570), c_Option_Ooption_ONone(_u3572))), _u3576), hAPP(c_Option_Ooption_OSome(_u3572), skolem67(_u3576, _u3574, _u3572, _u3570)))) )).
% 39.89/40.12 cnf(matrix-2020, plain, ( ( _u3575 != hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3571, tc_Option_Ooption(_u3573)), hAPP(c_COMBK(tc_Option_Ooption(_u3573), _u3571), c_Option_Ooption_ONone(_u3573))), _u3577), hAPP(c_Option_Ooption_OSome(_u3573), _u3565))) | ( c_Map_Odom(_u3571, _u3573, _u3575) = hAPP(hAPP(c_Set_Oinsert(_u3571), _u3577), c_Orderings_Obot__class_Obot(tc_fun(_u3571, tc_HOL_Obool)))) )).
% 39.89/40.12 cnf(matrix-2021, plain, ( ( c_Map_Orestrict__map(_u3578, _u3579, _u3580, hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3578, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u3578), _u3581), c_Orderings_Obot__class_Obot(tc_fun(_u3578, tc_HOL_Obool))))) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3578, tc_Option_Ooption(_u3579)), _u3580), _u3581), c_Option_Ooption_ONone(_u3579))) )).
% 39.89/40.12 cnf(matrix-2022, plain, ( ( c_Map_Oran(_u3582, _u3583, hAPP(c_COMBK(tc_Option_Ooption(_u3583), _u3582), c_Option_Ooption_ONone(_u3583))) = c_Orderings_Obot__class_Obot(tc_fun(_u3583, tc_HOL_Obool))) )).
% 39.89/40.12 cnf(matrix-2023, plain, ( ~c_Equiv__Relations_Oequiv(_u3584, _u3585, _u3586) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u3584, tc_HOL_Obool)), _u3587), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u3584), _u3585), _u3586))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u3584, tc_HOL_Obool)), _u3588), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u3584), _u3585), _u3586))) | ( _u3587 = _u3588) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3584, tc_HOL_Obool)), _u3587), _u3588) = c_Orderings_Obot__class_Obot(tc_fun(_u3584, tc_HOL_Obool))) )).
% 39.89/40.12 cnf(matrix-2024, plain, ( ~class_Groups_Ocomm__monoid__add(_u3590) | ~c_Fun_Oinj__on(_u3591, _u3592, _u3593, _u3594) | ( _u3595 != hAPP(c_Set_Oimage(_u3591, _u3592, _u3593), _u3594)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3592, _u3590), _u3597), _u3595) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3591, _u3590), _u3596), _u3594)) | hBOOL(hAPP(hAPP(c_member(_u3591), skolem68(_u3597, _u3596, _u3595, _u3594, _u3593, _u3592, _u3591, _u3590)), _u3594)) )).
% 39.89/40.12 cnf(matrix-2025, plain, ( ~class_Groups_Ocomm__monoid__add(_u3590) | ~c_Fun_Oinj__on(_u3591, _u3592, _u3593, _u3594) | ( _u3595 != hAPP(c_Set_Oimage(_u3591, _u3592, _u3593), _u3594)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3592, _u3590), _u3597), _u3595) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3591, _u3590), _u3596), _u3594)) | ( hAPP(_u3596, skolem68(_u3597, _u3596, _u3595, _u3594, _u3593, _u3592, _u3591, _u3590)) != hAPP(_u3597, hAPP(_u3593, skolem68(_u3597, _u3596, _u3595, _u3594, _u3593, _u3592, _u3591, _u3590)))) )).
% 39.89/40.12 cnf(matrix-2026, 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)), _u3598)))) )).
% 39.89/40.12 cnf(matrix-2027, 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)), _u3599)))) )).
% 39.89/40.12 cnf(matrix-2028, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u3600), c_Orderings_Obot__class_Obot(tc_fun(_u3600, tc_HOL_Obool)))) )).
% 39.89/40.12 cnf(matrix-2029, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3601), _u3602)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3601), hAPP(hAPP(c_Set_Oinsert(_u3601), _u3603), _u3602))) )).
% 39.89/40.12 cnf(matrix-2030, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3604), _u3605)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3606), hAPP(c_Set_Oimage(_u3604, _u3606, _u3607), _u3605))) )).
% 39.89/40.12 cnf(matrix-2031, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u3608), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3608, tc_HOL_Obool)), _u3609), _u3610))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3608), _u3609)) )).
% 39.89/40.12 cnf(matrix-2032, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u3608), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3608, tc_HOL_Obool)), _u3609), _u3610))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3608), _u3610)) )).
% 39.89/40.12 cnf(matrix-2033, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3611), _u3612)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3611), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3611, tc_HOL_Obool)), _u3612), _u3613))) )).
% 39.89/40.12 cnf(matrix-2034, plain, ( ~class_Groups_Oordered__ab__group__add(_u3614) | c_Fun_Oinj__on(_u3614, _u3614, c_Groups_Ouminus__class_Ouminus(_u3614), _u3615) )).
% 39.89/40.12 cnf(matrix-2035, plain, ( hBOOL(hAPP(hAPP(c_member(_u3616), _u3617), _u3618)) | hBOOL(hAPP(hAPP(c_member(_u3616), _u3617), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3616, tc_HOL_Obool)), _u3618))) )).
% 39.89/40.12 cnf(matrix-2036, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u3619), hAPP(c_Set_OCollect(_u3619), hAPP(hAPP(c_COMBS(_u3619, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u3619), c_fconj), _u3620)), _u3621)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3619), hAPP(c_Set_OCollect(_u3619), _u3620))) )).
% 39.89/40.12 cnf(matrix-2037, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u3619), hAPP(c_Set_OCollect(_u3619), hAPP(hAPP(c_COMBS(_u3619, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u3619), c_fconj), _u3620)), _u3621)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3619), hAPP(c_Set_OCollect(_u3619), _u3621))) )).
% 39.89/40.12 cnf(matrix-2038, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3622), _u3623)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u3622, tc_HOL_Obool)), hAPP(c_Set_OCollect(tc_fun(_u3622, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_fun(_u3622, tc_HOL_Obool), tc_fun(_u3622, tc_HOL_Obool), tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(tc_fun(_u3622, tc_HOL_Obool))), _u3623)))) )).
% 39.89/40.12 cnf(matrix-2039, plain, ( ~class_Finite__Set_Ofinite(_u3624) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3624), _u3625)) )).
% 39.89/40.12 cnf(matrix-2040, plain, ( ~class_Finite__Set_Ofinite(_u3626) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3626), _u3627)) )).
% 39.89/40.12 cnf(matrix-2041, plain, ( ~class_Groups_Ogroup__add(_u3628) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u3628), hAPP(c_Groups_Ouminus__class_Ouminus(_u3628), _u3629)) = _u3629) )).
% 39.89/40.12 cnf(matrix-2042, plain, ( ~class_Groups_Ogroup__add(_u3630) | ( _u3631 != hAPP(c_Groups_Ouminus__class_Ouminus(_u3630), _u3632)) | ( _u3632 = hAPP(c_Groups_Ouminus__class_Ouminus(_u3630), _u3631)) )).
% 39.89/40.12 cnf(matrix-2043, plain, ( ~class_Groups_Ogroup__add(_u3630) | ( _u3632 != hAPP(c_Groups_Ouminus__class_Ouminus(_u3630), _u3631)) | ( _u3631 = hAPP(c_Groups_Ouminus__class_Ouminus(_u3630), _u3632)) )).
% 39.89/40.12 cnf(matrix-2044, plain, ( ~class_Groups_Ogroup__add(_u3633) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u3633), _u3634) != _u3635) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u3633), _u3635) = _u3634) )).
% 39.89/40.12 cnf(matrix-2045, plain, ( ~class_Groups_Ogroup__add(_u3633) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u3633), _u3635) != _u3634) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u3633), _u3634) = _u3635) )).
% 39.89/40.12 cnf(matrix-2046, plain, ( ~class_Groups_Ogroup__add(_u3636) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u3636), _u3637) != hAPP(c_Groups_Ouminus__class_Ouminus(_u3636), _u3638)) | ( _u3637 = _u3638) )).
% 39.89/40.12 cnf(matrix-2047, plain, ( ~class_Groups_Ogroup__add(_u3636) | ( _u3637 != _u3638) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u3636), _u3637) = hAPP(c_Groups_Ouminus__class_Ouminus(_u3636), _u3638)) )).
% 39.89/40.12 cnf(matrix-2048, plain, ( ~class_Groups_Ouminus(_u3639) | ( hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3640, _u3639)), _u3641), _u3642) = hAPP(c_Groups_Ouminus__class_Ouminus(_u3639), hAPP(_u3641, _u3642))) )).
% 39.89/40.12 cnf(matrix-2049, plain, ( ~class_Lattices_Oboolean__algebra(_u3643) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u3643), hAPP(c_Groups_Ouminus__class_Ouminus(_u3643), _u3644)) = _u3644) )).
% 39.89/40.12 cnf(matrix-2050, plain, ( ~class_Groups_Ouminus(_u3645) | ( hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3646, _u3645)), _u3647), _u3648) = hAPP(c_Groups_Ouminus__class_Ouminus(_u3645), hAPP(_u3647, _u3648))) )).
% 39.89/40.12 cnf(matrix-2051, plain, ( ~class_Lattices_Oboolean__algebra(_u3649) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u3649), _u3650) != hAPP(c_Groups_Ouminus__class_Ouminus(_u3649), _u3651)) | ( _u3650 = _u3651) )).
% 39.89/40.12 cnf(matrix-2052, plain, ( ~class_Lattices_Oboolean__algebra(_u3649) | ( _u3650 != _u3651) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u3649), _u3650) = hAPP(c_Groups_Ouminus__class_Ouminus(_u3649), _u3651)) )).
% 39.89/40.12 cnf(matrix-2053, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3652, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3652, tc_HOL_Obool)), _u3653)) = _u3653) )).
% 39.89/40.12 cnf(matrix-2054, plain, ( ( _u3659 = _u3661) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3657, tc_HOL_Obool)), _u3659) != hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3657, tc_HOL_Obool)), _u3661)) )).
% 39.89/40.12 cnf(matrix-2055, plain, ( ( _u3660 != _u3662) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3658, tc_HOL_Obool)), _u3660) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3658, tc_HOL_Obool)), _u3662)) )).
% 39.89/40.12 cnf(matrix-2056, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u3665, tc_HOL_Obool)), hAPP(c_Set_OPow(_u3665), _u3667))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3665), _u3667)) )).
% 39.89/40.12 cnf(matrix-2057, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3666), _u3668)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u3666, tc_HOL_Obool)), hAPP(c_Set_OPow(_u3666), _u3668))) )).
% 39.89/40.12 cnf(matrix-2058, plain, ( ( hAPP(_u3669, _u3670) != hAPP(c_Option_Ooption_OSome(_u3671), _u3672)) | hBOOL(hAPP(hAPP(c_member(_u3671), _u3672), c_Map_Oran(_u3673, _u3671, _u3669))) )).
% 39.89/40.12 cnf(matrix-2059, plain, ( ~class_Lattices_Oboolean__algebra(_u3674) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3674), hAPP(c_Groups_Ouminus__class_Ouminus(_u3674), _u3675)), hAPP(c_Groups_Ouminus__class_Ouminus(_u3674), _u3676))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3674), _u3676), _u3675)) )).
% 39.89/40.12 cnf(matrix-2060, plain, ( ~class_Lattices_Oboolean__algebra(_u3674) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3674), _u3676), _u3675)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3674), hAPP(c_Groups_Ouminus__class_Ouminus(_u3674), _u3675)), hAPP(c_Groups_Ouminus__class_Ouminus(_u3674), _u3676))) )).
% 39.89/40.12 cnf(matrix-2061, plain, ( ~class_Lattices_Oboolean__algebra(_u3677) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3677), _u3678), _u3679)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3677), hAPP(c_Groups_Ouminus__class_Ouminus(_u3677), _u3679)), hAPP(c_Groups_Ouminus__class_Ouminus(_u3677), _u3678))) )).
% 39.89/40.12 cnf(matrix-2062, plain, ( ~class_Groups_Oordered__ab__group__add(_u3680) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3680), _u3681), hAPP(c_Groups_Ouminus__class_Ouminus(_u3680), _u3682))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3680), _u3682), hAPP(c_Groups_Ouminus__class_Ouminus(_u3680), _u3681))) )).
% 39.89/40.12 cnf(matrix-2063, plain, ( ~class_Groups_Oordered__ab__group__add(_u3680) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3680), _u3682), hAPP(c_Groups_Ouminus__class_Ouminus(_u3680), _u3681))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3680), _u3681), hAPP(c_Groups_Ouminus__class_Ouminus(_u3680), _u3682))) )).
% 39.89/40.12 cnf(matrix-2064, plain, ( ~class_Groups_Oordered__ab__group__add(_u3683) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3683), hAPP(c_Groups_Ouminus__class_Ouminus(_u3683), _u3684)), _u3685)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3683), hAPP(c_Groups_Ouminus__class_Ouminus(_u3683), _u3685)), _u3684)) )).
% 39.89/40.12 cnf(matrix-2065, plain, ( ~class_Groups_Oordered__ab__group__add(_u3683) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3683), hAPP(c_Groups_Ouminus__class_Ouminus(_u3683), _u3685)), _u3684)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3683), hAPP(c_Groups_Ouminus__class_Ouminus(_u3683), _u3684)), _u3685)) )).
% 39.89/40.12 cnf(matrix-2066, plain, ( ~class_Groups_Oordered__ab__group__add(_u3686) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3686), hAPP(c_Groups_Ouminus__class_Ouminus(_u3686), _u3687)), hAPP(c_Groups_Ouminus__class_Ouminus(_u3686), _u3688))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3686), _u3688), _u3687)) )).
% 39.89/40.12 cnf(matrix-2067, plain, ( ~class_Groups_Oordered__ab__group__add(_u3686) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3686), _u3688), _u3687)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3686), hAPP(c_Groups_Ouminus__class_Ouminus(_u3686), _u3687)), hAPP(c_Groups_Ouminus__class_Ouminus(_u3686), _u3688))) )).
% 39.89/40.12 cnf(matrix-2068, plain, ( ~class_Groups_Oordered__ab__group__add(_u3689) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3689), _u3690), _u3691)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3689), hAPP(c_Groups_Ouminus__class_Ouminus(_u3689), _u3691)), hAPP(c_Groups_Ouminus__class_Ouminus(_u3689), _u3690))) )).
% 39.89/40.12 cnf(matrix-2069, plain, ( ~class_Groups_Oordered__ab__group__add(_u3692) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3692), hAPP(c_Groups_Ouminus__class_Ouminus(_u3692), _u3693)), hAPP(c_Groups_Ouminus__class_Ouminus(_u3692), _u3694))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3692), _u3694), _u3693)) )).
% 39.89/40.12 cnf(matrix-2070, plain, ( ~class_Groups_Oordered__ab__group__add(_u3692) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3692), _u3694), _u3693)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3692), hAPP(c_Groups_Ouminus__class_Ouminus(_u3692), _u3693)), hAPP(c_Groups_Ouminus__class_Ouminus(_u3692), _u3694))) )).
% 39.89/40.12 cnf(matrix-2071, plain, ( ~class_Groups_Oordered__ab__group__add(_u3695) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3695), hAPP(c_Groups_Ouminus__class_Ouminus(_u3695), _u3696)), _u3697)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3695), hAPP(c_Groups_Ouminus__class_Ouminus(_u3695), _u3697)), _u3696)) )).
% 39.89/40.12 cnf(matrix-2072, plain, ( ~class_Groups_Oordered__ab__group__add(_u3695) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3695), hAPP(c_Groups_Ouminus__class_Ouminus(_u3695), _u3697)), _u3696)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3695), hAPP(c_Groups_Ouminus__class_Ouminus(_u3695), _u3696)), _u3697)) )).
% 39.89/40.12 cnf(matrix-2073, plain, ( ~class_Groups_Oordered__ab__group__add(_u3698) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3698), _u3699), hAPP(c_Groups_Ouminus__class_Ouminus(_u3698), _u3700))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3698), _u3700), hAPP(c_Groups_Ouminus__class_Ouminus(_u3698), _u3699))) )).
% 39.89/40.12 cnf(matrix-2074, plain, ( ~class_Groups_Oordered__ab__group__add(_u3698) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3698), _u3700), hAPP(c_Groups_Ouminus__class_Ouminus(_u3698), _u3699))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3698), _u3699), hAPP(c_Groups_Ouminus__class_Ouminus(_u3698), _u3700))) )).
% 39.89/40.12 cnf(matrix-2075, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u3704), _u3706), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3704, tc_HOL_Obool)), _u3708))) | ~hBOOL(hAPP(hAPP(c_member(_u3704), _u3706), _u3708)) )).
% 39.89/40.12 cnf(matrix-2076, plain, ( hBOOL(hAPP(hAPP(c_member(_u3705), _u3707), _u3709)) | hBOOL(hAPP(hAPP(c_member(_u3705), _u3707), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3705, tc_HOL_Obool)), _u3709))) )).
% 39.89/40.12 cnf(matrix-2077, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u3710), _u3711), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3710, tc_HOL_Obool)), _u3712))) | ~hBOOL(hAPP(hAPP(c_member(_u3710), _u3711), _u3712)) )).
% 39.89/40.12 cnf(matrix-2078, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u3713), _u3714), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3713, tc_HOL_Obool)), _u3715))) | ~hBOOL(hAPP(hAPP(c_member(_u3713), _u3714), _u3715)) )).
% 39.89/40.12 cnf(matrix-2079, plain, ( ~class_Groups_Oab__group__add(_u3716) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u3716), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3716), _u3717), _u3718)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3716), _u3718), _u3717)) )).
% 39.89/40.12 cnf(matrix-2080, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3722, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3722, tc_HOL_Obool)), _u3724)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3722, tc_HOL_Obool)), _u3726))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3722, tc_HOL_Obool)), _u3726), _u3724)) )).
% 39.89/40.12 cnf(matrix-2081, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3723, tc_HOL_Obool)), _u3727), _u3725)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3723, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3723, tc_HOL_Obool)), _u3725)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3723, tc_HOL_Obool)), _u3727))) )).
% 39.89/40.12 cnf(matrix-2082, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3728, tc_HOL_Obool)), _u3729), _u3730)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3728, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3728, tc_HOL_Obool)), _u3730)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3728, tc_HOL_Obool)), _u3729))) )).
% 39.89/40.12 cnf(matrix-2083, plain, ( ( _u3735 = _u3737) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3731, tc_Option_Ooption(_u3732)), _u3733), _u3734), hAPP(c_Option_Ooption_OSome(_u3732), _u3735)) != hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3731, tc_Option_Ooption(_u3732)), _u3736), _u3734), hAPP(c_Option_Ooption_OSome(_u3732), _u3737))) )).
% 39.89/40.12 cnf(matrix-2084, plain, ( ( hAPP(_u3738, _u3739) != hAPP(c_Option_Ooption_OSome(_u3740), _u3741)) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3742, tc_Option_Ooption(_u3740)), _u3738), _u3739), hAPP(c_Option_Ooption_OSome(_u3740), _u3741)) = _u3738) )).
% 39.89/40.12 cnf(matrix-2085, plain, ( ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3750, tc_Option_Ooption(_u3752)), _u3754), _u3756), hAPP(c_Option_Ooption_OSome(_u3752), _u3758)), _u3760) != hAPP(c_Option_Ooption_OSome(_u3752), _u3762)) | ( _u3760 = _u3756) | ( hAPP(_u3754, _u3760) = hAPP(c_Option_Ooption_OSome(_u3752), _u3762)) )).
% 39.89/40.12 cnf(matrix-2086, plain, ( ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3750, tc_Option_Ooption(_u3752)), _u3754), _u3756), hAPP(c_Option_Ooption_OSome(_u3752), _u3758)), _u3760) != hAPP(c_Option_Ooption_OSome(_u3752), _u3762)) | ( _u3758 = _u3762) | ( _u3760 != _u3756) )).
% 39.89/40.12 cnf(matrix-2087, plain, ( ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3750, tc_Option_Ooption(_u3752)), _u3754), _u3756), hAPP(c_Option_Ooption_OSome(_u3752), _u3758)), _u3760) != hAPP(c_Option_Ooption_OSome(_u3752), _u3762)) | ( _u3758 = _u3762) | ( hAPP(_u3754, _u3760) = hAPP(c_Option_Ooption_OSome(_u3752), _u3762)) )).
% 39.89/40.12 cnf(matrix-2088, plain, ( ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3751, tc_Option_Ooption(_u3753)), _u3755), _u3757), hAPP(c_Option_Ooption_OSome(_u3753), _u3759)), _u3761) = hAPP(c_Option_Ooption_OSome(_u3753), _u3763)) | ( _u3761 != _u3757) | ( _u3759 != _u3763) )).
% 39.89/40.12 cnf(matrix-2089, plain, ( ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3751, tc_Option_Ooption(_u3753)), _u3755), _u3757), hAPP(c_Option_Ooption_OSome(_u3753), _u3759)), _u3761) = hAPP(c_Option_Ooption_OSome(_u3753), _u3763)) | ( _u3761 = _u3757) | ( hAPP(_u3755, _u3761) != hAPP(c_Option_Ooption_OSome(_u3753), _u3763)) )).
% 39.89/40.12 cnf(matrix-2090, plain, ( ( hAPP(_u3764, _u3765) != hAPP(c_Option_Ooption_OSome(_u3766), _u3767)) | ( hAPP(c_Map_Omap__add(_u3768, _u3766, _u3769, _u3764), _u3765) = hAPP(c_Option_Ooption_OSome(_u3766), _u3767)) )).
% 39.89/40.12 cnf(matrix-2091, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u3770), c_Orderings_Obot__class_Obot(tc_fun(_u3770, tc_HOL_Obool)))) )).
% 39.89/40.12 cnf(matrix-2092, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3774), hAPP(hAPP(c_Set_Oinsert(_u3774), _u3776), _u3778))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3774), _u3778)) )).
% 39.89/40.12 cnf(matrix-2093, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3775), _u3779)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3775), hAPP(hAPP(c_Set_Oinsert(_u3775), _u3777), _u3779))) )).
% 39.89/40.12 cnf(matrix-2094, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3780), _u3781)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3780, tc_HOL_Obool)), _u3782), _u3781)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3780), _u3782)) )).
% 39.89/40.12 cnf(matrix-2095, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3783, tc_HOL_Obool)), _u3784), _u3785)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3783), _u3785)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3783), _u3784)) )).
% 39.89/40.12 cnf(matrix-2096, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3786), _u3787)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3786), _u3788)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3786), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3786, tc_HOL_Obool)), _u3787), _u3788))) )).
% 39.89/40.12 cnf(matrix-2097, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3792), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3792, tc_HOL_Obool)), _u3794), _u3796))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3792), _u3794)) )).
% 39.89/40.12 cnf(matrix-2098, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3792), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3792, tc_HOL_Obool)), _u3794), _u3796))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3792), _u3796)) )).
% 39.89/40.12 cnf(matrix-2099, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3793), _u3795)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3793), _u3797)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3793), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3793, tc_HOL_Obool)), _u3795), _u3797))) )).
% 39.89/40.12 cnf(matrix-2100, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3798), _u3799)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3798), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3798, tc_HOL_Obool)), _u3800), _u3799))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3798), _u3800)) )).
% 39.89/40.12 cnf(matrix-2101, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3798), _u3799)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3798), _u3800)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3798), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3798, tc_HOL_Obool)), _u3800), _u3799))) )).
% 39.89/40.12 cnf(matrix-2102, plain, ( ~class_Groups_Oab__group__add(_u3801) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3802, _u3801), hAPP(hAPP(c_COMBB(_u3801, _u3801, _u3802), c_Groups_Ouminus__class_Ouminus(_u3801)), _u3803)), _u3804) = hAPP(c_Groups_Ouminus__class_Ouminus(_u3801), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3802, _u3801), _u3803), _u3804))) )).
% 39.89/40.12 cnf(matrix-2103, plain, ( ( hAPP(c_Set_OCollect(_u3805), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u3805), c_fNot), _u3806)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3805, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u3805), _u3806))) )).
% 39.89/40.12 cnf(matrix-2104, plain, ( ~c_Equiv__Relations_Oequiv(_u3807, _u3808, _u3809) | ~hBOOL(hAPP(hAPP(c_member(_u3807), _u3810), _u3808)) | hBOOL(hAPP(hAPP(c_member(_u3807), _u3810), hAPP(c_Relation_OImage(_u3807, _u3807, _u3809), hAPP(hAPP(c_Set_Oinsert(_u3807), _u3810), c_Orderings_Obot__class_Obot(tc_fun(_u3807, tc_HOL_Obool)))))) )).
% 39.89/40.12 cnf(matrix-2105, plain, ( ( _u3811 != hAPP(c_Set_Oimage(tc_Nat_Onat, _u3812, _u3813), 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)), _u3814)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3812), _u3811)) )).
% 39.89/40.12 cnf(matrix-2106, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3818), hAPP(c_Set_OCollect(_u3818), hAPP(hAPP(c_COMBS(_u3818, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u3818), c_fdisj), _u3820)), _u3822)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3818), hAPP(c_Set_OCollect(_u3818), _u3820))) )).
% 39.89/40.12 cnf(matrix-2107, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3818), hAPP(c_Set_OCollect(_u3818), hAPP(hAPP(c_COMBS(_u3818, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u3818), c_fdisj), _u3820)), _u3822)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3818), hAPP(c_Set_OCollect(_u3818), _u3822))) )).
% 39.89/40.12 cnf(matrix-2108, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3819), hAPP(c_Set_OCollect(_u3819), _u3821))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3819), hAPP(c_Set_OCollect(_u3819), _u3823))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3819), hAPP(c_Set_OCollect(_u3819), hAPP(hAPP(c_COMBS(_u3819, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u3819), c_fdisj), _u3821)), _u3823)))) )).
% 39.89/40.12 cnf(matrix-2109, plain, ( ( c_Map_Orestrict__map(_u3824, _u3825, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3824, tc_Option_Ooption(_u3825)), _u3826), _u3827), hAPP(c_Option_Ooption_OSome(_u3825), _u3828)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3824, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u3824), _u3827), c_Orderings_Obot__class_Obot(tc_fun(_u3824, tc_HOL_Obool))))) = c_Map_Orestrict__map(_u3824, _u3825, _u3826, hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3824, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u3824), _u3827), c_Orderings_Obot__class_Obot(tc_fun(_u3824, tc_HOL_Obool)))))) )).
% 39.89/40.12 cnf(matrix-2110, plain, ( ( hAPP(_u3829, _u3830) != c_Option_Ooption_ONone(_u3831)) | ( c_Map_Oran(_u3832, _u3831, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3832, tc_Option_Ooption(_u3831)), _u3829), _u3830), hAPP(c_Option_Ooption_OSome(_u3831), _u3833))) = hAPP(hAPP(c_Set_Oinsert(_u3831), _u3833), c_Map_Oran(_u3832, _u3831, _u3829))) )).
% 39.89/40.12 cnf(matrix-2111, plain, ( ~class_Lattices_Oboolean__algebra(_u3834) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u3834), _u3835), hAPP(c_Groups_Ouminus__class_Ouminus(_u3834), _u3835)) = c_Orderings_Obot__class_Obot(_u3834)) )).
% 39.89/40.12 cnf(matrix-2112, plain, ( ~class_Lattices_Oboolean__algebra(_u3836) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u3836), hAPP(c_Groups_Ouminus__class_Ouminus(_u3836), _u3837)), _u3837) = c_Orderings_Obot__class_Obot(_u3836)) )).
% 39.89/40.12 cnf(matrix-2113, plain, ( ~class_Lattices_Oboolean__algebra(_u3838) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3838), _u3839), _u3840) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u3838), _u3839), hAPP(c_Groups_Ouminus__class_Ouminus(_u3838), _u3840))) )).
% 39.89/40.12 cnf(matrix-2114, plain, ( ~class_Lattices_Oboolean__algebra(_u3841) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u3841), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u3841), _u3842), _u3843)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u3841), hAPP(c_Groups_Ouminus__class_Ouminus(_u3841), _u3842)), hAPP(c_Groups_Ouminus__class_Ouminus(_u3841), _u3843))) )).
% 39.89/40.12 cnf(matrix-2115, plain, ( ~class_Lattices_Oboolean__algebra(_u3844) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u3844), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u3844), _u3845), _u3846)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u3844), hAPP(c_Groups_Ouminus__class_Ouminus(_u3844), _u3845)), hAPP(c_Groups_Ouminus__class_Ouminus(_u3844), _u3846))) )).
% 39.89/40.12 cnf(matrix-2116, plain, ( ( hAPP(_u3847, _u3848) != hAPP(c_Option_Ooption_OSome(_u3849), _u3850)) | hBOOL(hAPP(hAPP(c_member(_u3851), _u3848), c_Map_Odom(_u3851, _u3849, _u3847))) )).
% 39.89/40.12 cnf(matrix-2117, plain, ( hBOOL(hAPP(hAPP(c_member(_u3852), _u3853), _u3854)) | ( hAPP(c_Set_Oimage(_u3852, tc_Option_Ooption(_u3855), hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3852, tc_Option_Ooption(_u3855)), _u3856), _u3853), hAPP(c_Option_Ooption_OSome(_u3855), _u3857))), _u3854) = hAPP(c_Set_Oimage(_u3852, tc_Option_Ooption(_u3855), _u3856), _u3854)) )).
% 39.89/40.12 cnf(matrix-2118, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3860, tc_HOL_Obool)), _u3862), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3860, tc_HOL_Obool)), _u3862))) | ( _u3862 = c_Orderings_Obot__class_Obot(tc_fun(_u3860, tc_HOL_Obool))) )).
% 39.89/40.12 cnf(matrix-2119, plain, ( ( _u3863 != c_Orderings_Obot__class_Obot(tc_fun(_u3861, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3861, tc_HOL_Obool)), _u3863), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3861, tc_HOL_Obool)), _u3863))) )).
% 39.89/40.12 cnf(matrix-2120, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3864, tc_HOL_Obool)), _u3865), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3864, tc_HOL_Obool)), _u3865)) = c_Orderings_Obot__class_Obot(tc_fun(_u3864, tc_HOL_Obool))) )).
% 39.89/40.12 cnf(matrix-2121, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3866, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3866, tc_HOL_Obool)), _u3867)), _u3867) = c_Orderings_Obot__class_Obot(tc_fun(_u3866, tc_HOL_Obool))) )).
% 39.89/40.12 cnf(matrix-2122, plain, ( ( hAPP(_u3868, _u3869) != hAPP(c_Option_Ooption_OSome(_u3870), _u3871)) | ( hAPP(hAPP(c_Set_Oinsert(_u3872), _u3869), c_Map_Odom(_u3872, _u3870, _u3868)) = c_Map_Odom(_u3872, _u3870, _u3868)) )).
% 39.89/40.12 cnf(matrix-2123, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3873, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3873, tc_HOL_Obool)), _u3874), _u3875)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3873, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3873, tc_HOL_Obool)), _u3874)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3873, tc_HOL_Obool)), _u3875))) )).
% 39.89/40.12 cnf(matrix-2124, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3876, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3876, tc_HOL_Obool)), _u3877), _u3878)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3876, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3876, tc_HOL_Obool)), _u3877)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3876, tc_HOL_Obool)), _u3878))) )).
% 39.89/40.12 cnf(matrix-2125, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3879, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3879, tc_HOL_Obool)), _u3880), _u3881)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3879, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3879, tc_HOL_Obool)), _u3880)), _u3881)) )).
% 39.89/40.12 cnf(matrix-2126, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3882, tc_HOL_Obool)), _u3883), _u3884) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3882, tc_HOL_Obool)), _u3883), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3882, tc_HOL_Obool)), _u3884))) )).
% 39.89/40.12 cnf(matrix-2127, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3885, tc_HOL_Obool)), _u3886), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3885, tc_HOL_Obool)), _u3887)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3885, tc_HOL_Obool)), _u3886), _u3887)) )).
% 39.89/40.12 cnf(matrix-2128, plain, ( ( hAPP(c_Map_Omap__add(_u3894, _u3896, _u3898, _u3900), _u3902) != hAPP(c_Option_Ooption_OSome(_u3896), _u3904)) | ( hAPP(_u3900, _u3902) = hAPP(c_Option_Ooption_OSome(_u3896), _u3904)) | ( hAPP(_u3900, _u3902) = c_Option_Ooption_ONone(_u3896)) )).
% 39.89/40.12 cnf(matrix-2129, plain, ( ( hAPP(c_Map_Omap__add(_u3894, _u3896, _u3898, _u3900), _u3902) != hAPP(c_Option_Ooption_OSome(_u3896), _u3904)) | ( hAPP(_u3900, _u3902) = hAPP(c_Option_Ooption_OSome(_u3896), _u3904)) | ( hAPP(_u3898, _u3902) = hAPP(c_Option_Ooption_OSome(_u3896), _u3904)) )).
% 39.89/40.12 cnf(matrix-2130, plain, ( ( hAPP(c_Map_Omap__add(_u3895, _u3897, _u3899, _u3901), _u3903) = hAPP(c_Option_Ooption_OSome(_u3897), _u3905)) | ( hAPP(_u3901, _u3903) != hAPP(c_Option_Ooption_OSome(_u3897), _u3905)) )).
% 39.89/40.12 cnf(matrix-2131, plain, ( ( hAPP(c_Map_Omap__add(_u3895, _u3897, _u3899, _u3901), _u3903) = hAPP(c_Option_Ooption_OSome(_u3897), _u3905)) | ( hAPP(_u3901, _u3903) != c_Option_Ooption_ONone(_u3897)) | ( hAPP(_u3899, _u3903) != hAPP(c_Option_Ooption_OSome(_u3897), _u3905)) )).
% 39.89/40.12 cnf(matrix-2132, plain, ( ( hAPP(c_Map_Omap__add(_u3906, _u3907, _u3908, _u3909), _u3910) != hAPP(c_Option_Ooption_OSome(_u3907), _u3911)) | ( hAPP(_u3909, _u3910) = hAPP(c_Option_Ooption_OSome(_u3907), _u3911)) | ( hAPP(_u3909, _u3910) = c_Option_Ooption_ONone(_u3907)) )).
% 39.89/40.12 cnf(matrix-2133, plain, ( ( hAPP(c_Map_Omap__add(_u3906, _u3907, _u3908, _u3909), _u3910) != hAPP(c_Option_Ooption_OSome(_u3907), _u3911)) | ( hAPP(_u3909, _u3910) = hAPP(c_Option_Ooption_OSome(_u3907), _u3911)) | ( hAPP(_u3908, _u3910) = hAPP(c_Option_Ooption_OSome(_u3907), _u3911)) )).
% 39.89/40.12 cnf(matrix-2134, plain, ( ( c_Map_Omap__add(_u3912, _u3913, _u3914, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3912, tc_Option_Ooption(_u3913)), _u3915), _u3916), hAPP(c_Option_Ooption_OSome(_u3913), _u3917))) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3912, tc_Option_Ooption(_u3913)), c_Map_Omap__add(_u3912, _u3913, _u3914, _u3915)), _u3916), hAPP(c_Option_Ooption_OSome(_u3913), _u3917))) )).
% 39.89/40.12 cnf(matrix-2135, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3918), _u3919)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3920, tc_HOL_Obool)), _u3921), hAPP(c_Set_Oimage(_u3918, _u3920, _u3922), _u3919))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3920), _u3921)) )).
% 39.89/40.12 cnf(matrix-2136, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3927), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3927, tc_HOL_Obool)), _u3929), hAPP(hAPP(c_Set_Oinsert(_u3927), _u3931), _u3933)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3927), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3927, tc_HOL_Obool)), _u3929), _u3933))) )).
% 39.89/40.12 cnf(matrix-2137, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3928), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3928, tc_HOL_Obool)), _u3930), _u3934))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3928), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3928, tc_HOL_Obool)), _u3930), hAPP(hAPP(c_Set_Oinsert(_u3928), _u3932), _u3934)))) )).
% 39.89/40.12 cnf(matrix-2138, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3935), hAPP(c_Set_Oimage(_u3936, _u3935, _u3937), _u3938))) | ~c_Fun_Oinj__on(_u3936, _u3935, _u3937, _u3938) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3936), _u3938)) )).
% 39.89/40.12 cnf(matrix-2139, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3939, tc_HOL_Obool)), _u3940) = hAPP(c_Set_OCollect(_u3939), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u3939), c_fNot), hAPP(hAPP(c_COMBC(_u3939, tc_fun(_u3939, tc_HOL_Obool), tc_HOL_Obool), c_member(_u3939)), _u3940)))) )).
% 39.89/40.12 cnf(matrix-2140, plain, ( ( hAPP(c_Set_OCollect(_u3941), hAPP(hAPP(c_COMBS(_u3941, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u3941), c_fimplies), _u3942)), _u3943)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3941, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3941, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u3941), _u3942))), hAPP(c_Set_OCollect(_u3941), _u3943))) )).
% 39.89/40.12 cnf(matrix-2141, plain, ( ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3944, tc_Option_Ooption(_u3945)), _u3946), _u3947), hAPP(c_Option_Ooption_OSome(_u3945), _u3948)) != hAPP(c_COMBK(tc_Option_Ooption(_u3945), _u3944), c_Option_Ooption_ONone(_u3945))) )).
% 39.89/40.12 cnf(matrix-2142, plain, ( ~class_Enum_Oenum(_u3949) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_Option_Ooption(_u3949)), _u3950)) | hBOOL(hAPP(_u3950, c_Option_Ooption_ONone(_u3949))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u3949), hAPP(hAPP(c_COMBB(tc_Option_Ooption(_u3949), tc_HOL_Obool, _u3949), _u3950), c_Option_Ooption_OSome(_u3949)))) )).
% 39.89/40.12 cnf(matrix-2143, plain, ( ~class_Enum_Oenum(_u3949) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_Option_Ooption(_u3949)), _u3950)) | ~hBOOL(hAPP(_u3950, c_Option_Ooption_ONone(_u3949))) )).
% 39.89/40.12 cnf(matrix-2144, plain, ( ~class_Enum_Oenum(_u3949) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_Option_Ooption(_u3949)), _u3950)) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u3949), hAPP(hAPP(c_COMBB(tc_Option_Ooption(_u3949), tc_HOL_Obool, _u3949), _u3950), c_Option_Ooption_OSome(_u3949)))) )).
% 39.89/40.12 cnf(matrix-2145, plain, ( ~class_Enum_Oenum(_u3951) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_Option_Ooption(_u3951)), _u3952)) | hBOOL(hAPP(_u3952, c_Option_Ooption_ONone(_u3951))) )).
% 39.89/40.12 cnf(matrix-2146, plain, ( ~class_Enum_Oenum(_u3951) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_Option_Ooption(_u3951)), _u3952)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u3951), hAPP(hAPP(c_COMBB(tc_Option_Ooption(_u3951), tc_HOL_Obool, _u3951), _u3952), c_Option_Ooption_OSome(_u3951)))) )).
% 39.89/40.12 cnf(matrix-2147, plain, ( ~class_Enum_Oenum(_u3951) | ~hBOOL(hAPP(_u3952, c_Option_Ooption_ONone(_u3951))) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u3951), hAPP(hAPP(c_COMBB(tc_Option_Ooption(_u3951), tc_HOL_Obool, _u3951), _u3952), c_Option_Ooption_OSome(_u3951)))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_Option_Ooption(_u3951)), _u3952)) )).
% 39.89/40.12 cnf(matrix-2148, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3956, tc_HOL_Obool)), _u3958), _u3960) != c_Orderings_Obot__class_Obot(tc_fun(_u3956, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3956, tc_HOL_Obool)), _u3958), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3956, tc_HOL_Obool)), _u3960))) )).
% 39.89/40.12 cnf(matrix-2149, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3957, tc_HOL_Obool)), _u3959), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3957, tc_HOL_Obool)), _u3961))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3957, tc_HOL_Obool)), _u3959), _u3961) = c_Orderings_Obot__class_Obot(tc_fun(_u3957, tc_HOL_Obool))) )).
% 39.89/40.12 cnf(matrix-2150, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3962), _u3963)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3962, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u3962, _u3962, _u3964), _u3963)), _u3963)) | ~c_Fun_Oinj__on(_u3962, _u3962, _u3964, _u3963) | ( hAPP(c_Set_Oimage(_u3962, _u3962, _u3964), _u3963) = _u3963) )).
% 39.89/40.12 cnf(matrix-2151, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3965), _u3966)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3965, tc_HOL_Obool)), _u3966), hAPP(c_Set_Oimage(_u3965, _u3965, _u3967), _u3966))) | c_Fun_Oinj__on(_u3965, _u3965, _u3967, _u3966) )).
% 39.89/40.12 cnf(matrix-2152, plain, ( hBOOL(hAPP(hAPP(c_member(_u3968), _u3969), c_Map_Odom(_u3968, _u3970, _u3971))) | ( c_Map_Omap__add(_u3968, _u3970, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3968, tc_Option_Ooption(_u3970)), _u3972), _u3969), hAPP(c_Option_Ooption_OSome(_u3970), _u3973)), _u3971) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u3968, tc_Option_Ooption(_u3970)), c_Map_Omap__add(_u3968, _u3970, _u3972, _u3971)), _u3969), hAPP(c_Option_Ooption_OSome(_u3970), _u3973))) )).
% 39.89/40.12 cnf(matrix-2153, plain, ( ~class_Groups_Oab__group__add(_u3974) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3975), _u3976)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3975, tc_HOL_Obool)), _u3977), _u3976)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3975, _u3974), _u3978), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3975, tc_HOL_Obool)), _u3976), _u3977)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3974), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3975, _u3974), _u3978), _u3976)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3975, _u3974), _u3978), _u3977))) )).
% 39.89/40.12 cnf(matrix-2154, plain, ( ~class_Groups_Ocomm__monoid__add(_u3979) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3980), _u3981)) | ~c_Fun_Oinj__on(_u3980, _u3980, _u3982, _u3981) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3980, _u3979), _u3983), hAPP(c_Set_Oimage(_u3980, _u3980, _u3982), _u3981)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3980, _u3979), hAPP(c_Fun_Ocomp(_u3980, _u3979, _u3980, _u3983), _u3982)), _u3981)) )).
% 39.89/40.12 cnf(matrix-2155, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3984), _u3985)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3984, tc_HOL_Obool)), _u3985), _u3986)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3984, tc_Nat_Onat), _u3987), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3984, tc_HOL_Obool)), _u3986), _u3985)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3984, tc_Nat_Onat), _u3987), _u3986)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3984, tc_Nat_Onat), _u3987), _u3985))) )).
% 39.89/40.12 cnf(matrix-2156, plain, ( ~class_Groups_Ocomm__monoid__add(_u3988) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3989), _u3990)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3989, _u3988), _u3991), _u3990) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3992, _u3988), hAPP(hAPP(c_COMBB(tc_fun(_u3989, tc_HOL_Obool), _u3988, _u3992), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3989, _u3988), _u3991)), hAPP(hAPP(c_COMBB(tc_fun(_u3989, tc_HOL_Obool), tc_fun(_u3989, tc_HOL_Obool), _u3992), c_Set_OCollect(_u3989)), hAPP(hAPP(c_COMBB(tc_fun(_u3989, tc_HOL_Obool), tc_fun(_u3989, tc_HOL_Obool), _u3992), hAPP(c_COMBS(_u3989, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u3989), c_fconj), hAPP(hAPP(c_COMBC(_u3989, tc_fun(_u3989, tc_HOL_Obool), tc_HOL_Obool), c_member(_u3989)), _u3990)))), hAPP(c_COMBC(_u3989, _u3992, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u3992, tc_fun(_u3992, tc_HOL_Obool), _u3989), c_fequal), _u3993)))))), hAPP(c_Set_Oimage(_u3989, _u3992, _u3993), _u3990))) )).
% 39.89/40.12 cnf(matrix-2157, plain, ( ~class_Groups_Ocomm__monoid__add(_u3994) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3995), _u3996)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3997), _u3998)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3995, _u3994), hAPP(hAPP(c_COMBS(_u3995, tc_fun(_u3997, tc_HOL_Obool), _u3994), hAPP(hAPP(c_COMBB(tc_fun(_u3997, _u3994), tc_fun(tc_fun(_u3997, tc_HOL_Obool), _u3994), _u3995), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3997, _u3994)), _u3999)), hAPP(hAPP(c_COMBB(tc_fun(_u3997, tc_HOL_Obool), tc_fun(_u3997, tc_HOL_Obool), _u3995), c_Set_OCollect(_u3997)), hAPP(hAPP(c_COMBB(tc_fun(_u3997, tc_HOL_Obool), tc_fun(_u3997, tc_HOL_Obool), _u3995), hAPP(c_COMBS(_u3997, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u3997), c_fconj), hAPP(hAPP(c_COMBC(_u3997, tc_fun(_u3997, tc_HOL_Obool), tc_HOL_Obool), c_member(_u3997)), _u3998)))), _u4000)))), _u3996) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3997, _u3994), hAPP(hAPP(c_COMBS(_u3997, tc_fun(_u3995, tc_HOL_Obool), _u3994), hAPP(hAPP(c_COMBB(tc_fun(_u3995, _u3994), tc_fun(tc_fun(_u3995, tc_HOL_Obool), _u3994), _u3997), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3995, _u3994)), hAPP(c_COMBC(_u3995, _u3997, _u3994), _u3999))), hAPP(hAPP(c_COMBB(tc_fun(_u3995, tc_HOL_Obool), tc_fun(_u3995, tc_HOL_Obool), _u3997), c_Set_OCollect(_u3995)), hAPP(hAPP(c_COMBB(tc_fun(_u3995, tc_HOL_Obool), tc_fun(_u3995, tc_HOL_Obool), _u3997), hAPP(c_COMBS(_u3995, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u3995), c_fconj), hAPP(hAPP(c_COMBC(_u3995, tc_fun(_u3995, tc_HOL_Obool), tc_HOL_Obool), c_member(_u3995)), _u3996)))), hAPP(c_COMBC(_u3995, _u3997, tc_HOL_Obool), _u4000))))), _u3998)) )).
% 39.89/40.12 cnf(matrix-2158, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4001, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u4002, _u4001, _u4003), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4002, tc_HOL_Obool)), _u4004), _u4005))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4001, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u4002, _u4001, _u4003), _u4004)), hAPP(c_Relation_OImage(_u4002, _u4001, _u4003), _u4005)))) )).
% 39.89/40.12 cnf(matrix-2159, plain, ( c_Fun_Oinj__on(_u4006, tc_Option_Ooption(_u4006), c_Option_Ooption_OSome(_u4006), _u4007) )).
% 39.89/40.12 cnf(matrix-2160, plain, ( ~c_Finite__Set_Ofolding(_u4008, _u4009, _u4010, _u4011) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4008), _u4012)) | ~hBOOL(hAPP(hAPP(c_member(_u4008), _u4013), _u4012)) | ( hAPP(_u4011, _u4012) = hAPP(c_Fun_Ocomp(_u4009, _u4009, _u4009, hAPP(_u4011, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4008, tc_HOL_Obool)), _u4012), hAPP(hAPP(c_Set_Oinsert(_u4008), _u4013), c_Orderings_Obot__class_Obot(tc_fun(_u4008, tc_HOL_Obool)))))), hAPP(_u4010, _u4013))) )).
% 39.89/40.12 cnf(matrix-2161, plain, ( ~c_Finite__Set_Ofolding__one(_u4014, _u4015, _u4016) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4014), _u4017)) | ~hBOOL(hAPP(hAPP(c_member(_u4014), _u4018), _u4017)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4014, tc_HOL_Obool)), _u4017), hAPP(hAPP(c_Set_Oinsert(_u4014), _u4018), c_Orderings_Obot__class_Obot(tc_fun(_u4014, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u4014, tc_HOL_Obool))) | ( hAPP(_u4016, _u4017) = _u4018) )).
% 39.89/40.12 cnf(matrix-2162, plain, ( ~c_Finite__Set_Ofolding__one(_u4014, _u4015, _u4016) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4014), _u4017)) | ~hBOOL(hAPP(hAPP(c_member(_u4014), _u4018), _u4017)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4014, tc_HOL_Obool)), _u4017), hAPP(hAPP(c_Set_Oinsert(_u4014), _u4018), c_Orderings_Obot__class_Obot(tc_fun(_u4014, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u4014, tc_HOL_Obool))) | ( hAPP(_u4016, _u4017) = hAPP(hAPP(_u4015, _u4018), hAPP(_u4016, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4014, tc_HOL_Obool)), _u4017), hAPP(hAPP(c_Set_Oinsert(_u4014), _u4018), c_Orderings_Obot__class_Obot(tc_fun(_u4014, tc_HOL_Obool))))))) )).
% 39.89/40.12 cnf(matrix-2163, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4020), _u4025)) | ~hBOOL(hAPP(hAPP(c_member(_u4020), _u4026), _u4025)) | ( hAPP(_u4024, _u4025) = hAPP(hAPP(_u4021, hAPP(_u4023, _u4026)), hAPP(_u4024, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4020, tc_HOL_Obool)), _u4025), hAPP(hAPP(c_Set_Oinsert(_u4020), _u4026), c_Orderings_Obot__class_Obot(tc_fun(_u4020, tc_HOL_Obool))))))) | ~c_Finite__Set_Ofolding__image__simple(_u4019, _u4020, _u4021, _u4022, _u4023, _u4024) )).
% 39.89/40.12 cnf(matrix-2164, plain, ( ~c_Finite__Set_Ofolding__image(_u4027, _u4028, _u4029, _u4030, _u4031) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4028), _u4032)) | ~c_Fun_Oinj__on(_u4028, _u4028, _u4033, _u4032) | ( hAPP(hAPP(_u4031, _u4034), hAPP(c_Set_Oimage(_u4028, _u4028, _u4033), _u4032)) = hAPP(hAPP(_u4031, hAPP(c_Fun_Ocomp(_u4028, _u4027, _u4028, _u4034), _u4033)), _u4032)) )).
% 39.89/40.12 cnf(matrix-2165, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u4036, tc_HOL_Obool)), _u4037), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u4036), _u4038), _u4039))) | ( _u4037 = hAPP(c_Relation_OImage(_u4036, _u4036, _u4039), hAPP(hAPP(c_Set_Oinsert(_u4036), skolem69(_u4039, _u4038, _u4037, _u4036)), c_Orderings_Obot__class_Obot(tc_fun(_u4036, tc_HOL_Obool))))) )).
% 39.89/40.12 cnf(matrix-2166, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u4036, tc_HOL_Obool)), _u4037), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u4036), _u4038), _u4039))) | hBOOL(hAPP(hAPP(c_member(_u4036), skolem69(_u4039, _u4038, _u4037, _u4036)), _u4038)) )).
% 39.89/40.12 cnf(matrix-2167, plain, ( ~c_Finite__Set_Ofolding(_u4040, _u4041, _u4042, _u4043) | ( hAPP(c_Fun_Ocomp(_u4044, _u4045, _u4046, _u4047), hAPP(c_Fun_Ocomp(_u4048, _u4044, _u4046, _u4049), _u4050)) = hAPP(c_Fun_Ocomp(_u4048, _u4045, _u4046, hAPP(c_Fun_Ocomp(_u4044, _u4045, _u4048, _u4047), _u4049)), _u4050)) )).
% 39.89/40.12 cnf(matrix-2168, plain, ( ( hAPP(c_Fun_Ocomp(_u4052, _u4052, _u4052, hAPP(_u4053, _u4055)), hAPP(_u4053, _u4056)) = hAPP(c_Fun_Ocomp(_u4052, _u4052, _u4052, hAPP(_u4053, _u4056)), hAPP(_u4053, _u4055))) | ~c_Finite__Set_Ofolding(_u4051, _u4052, _u4053, _u4054) )).
% 39.89/40.12 cnf(matrix-2169, plain, ( ( hAPP(c_Fun_Ocomp(_u4058, _u4058, _u4061, hAPP(_u4059, _u4062)), hAPP(c_Fun_Ocomp(_u4058, _u4058, _u4061, hAPP(_u4059, _u4063)), _u4064)) = hAPP(c_Fun_Ocomp(_u4058, _u4058, _u4061, hAPP(_u4059, _u4063)), hAPP(c_Fun_Ocomp(_u4058, _u4058, _u4061, hAPP(_u4059, _u4062)), _u4064))) | ~c_Finite__Set_Ofolding(_u4057, _u4058, _u4059, _u4060) )).
% 39.89/40.12 cnf(matrix-2170, plain, ( ( hAPP(_u4070, c_Orderings_Obot__class_Obot(tc_fun(_u4066, tc_HOL_Obool))) = _u4068) | ~c_Finite__Set_Ofolding__image__simple(_u4065, _u4066, _u4067, _u4068, _u4069, _u4070) )).
% 39.89/40.12 cnf(matrix-2171, plain, ( ~c_Finite__Set_Ofolding__image(_u4071, _u4072, _u4073, _u4074, _u4075) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4072), _u4076)) | ( hAPP(hAPP(_u4075, hAPP(hAPP(c_COMBS(_u4072, _u4071, _u4071), hAPP(hAPP(c_COMBB(_u4071, tc_fun(_u4071, _u4071), _u4072), _u4073), _u4077)), _u4078)), _u4076) = hAPP(hAPP(_u4073, hAPP(hAPP(_u4075, _u4077), _u4076)), hAPP(hAPP(_u4075, _u4078), _u4076))) )).
% 39.89/40.12 cnf(matrix-2172, plain, ( ~c_Finite__Set_Ofolding(_u4079, _u4080, _u4081, _u4082) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4079), _u4083)) | ( hAPP(c_Fun_Ocomp(_u4080, _u4080, _u4080, hAPP(_u4081, _u4084)), hAPP(_u4082, _u4083)) = hAPP(c_Fun_Ocomp(_u4080, _u4080, _u4080, hAPP(_u4082, _u4083)), hAPP(_u4081, _u4084))) )).
% 39.89/40.12 cnf(matrix-2173, plain, ( ~c_Finite__Set_Ofolding(_u4085, _u4086, _u4087, _u4088) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4085), _u4089)) | ( hAPP(c_Fun_Ocomp(_u4086, _u4086, _u4090, hAPP(_u4087, _u4091)), hAPP(c_Fun_Ocomp(_u4086, _u4086, _u4090, hAPP(_u4088, _u4089)), _u4092)) = hAPP(c_Fun_Ocomp(_u4086, _u4086, _u4090, hAPP(_u4088, _u4089)), hAPP(c_Fun_Ocomp(_u4086, _u4086, _u4090, hAPP(_u4087, _u4091)), _u4092))) )).
% 39.89/40.12 cnf(matrix-2174, plain, ( ~c_Finite__Set_Ofolding(_u4093, _u4094, _u4095, _u4096) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4093), _u4097)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4093), _u4098)) | ( hAPP(c_Fun_Ocomp(_u4094, _u4094, _u4094, hAPP(_u4096, _u4098)), hAPP(_u4096, _u4097)) = hAPP(c_Fun_Ocomp(_u4094, _u4094, _u4094, hAPP(_u4096, _u4097)), hAPP(_u4096, _u4098))) )).
% 39.89/40.12 cnf(matrix-2175, plain, ( ~c_Finite__Set_Ofolding(_u4099, _u4100, _u4101, _u4102) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4099), _u4103)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4099), _u4104)) | ( hAPP(c_Fun_Ocomp(_u4100, _u4100, _u4105, hAPP(_u4102, _u4104)), hAPP(c_Fun_Ocomp(_u4100, _u4100, _u4105, hAPP(_u4102, _u4103)), _u4106)) = hAPP(c_Fun_Ocomp(_u4100, _u4100, _u4105, hAPP(_u4102, _u4103)), hAPP(c_Fun_Ocomp(_u4100, _u4100, _u4105, hAPP(_u4102, _u4104)), _u4106))) )).
% 39.89/40.12 cnf(matrix-2176, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u4112)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u4107), _u4112)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4107), skolem70(_u4112))) )).
% 39.89/40.12 cnf(matrix-2177, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u4113)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem71(_u4113, _u4110)), _u4113)) )).
% 39.89/40.12 cnf(matrix-2178, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u4113)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem71(_u4113, _u4110)), _u4110)) )).
% 39.89/40.12 cnf(matrix-2179, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u4119)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u4114), _u4119)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4114), skolem72(_u4119))) )).
% 39.89/40.12 cnf(matrix-2180, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u4120)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem73(_u4120, _u4117)), _u4120)) )).
% 39.89/40.12 cnf(matrix-2181, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u4120)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem73(_u4120, _u4117)), _u4117)) )).
% 39.89/40.12 cnf(matrix-2182, plain, ( ( _u4126 = _u4128) | ( hAPP(c_Option_Ooption_OSome(_u4124), _u4126) != hAPP(c_Option_Ooption_OSome(_u4124), _u4128)) )).
% 39.89/40.12 cnf(matrix-2183, plain, ( ( _u4127 != _u4129) | ( hAPP(c_Option_Ooption_OSome(_u4125), _u4127) = hAPP(c_Option_Ooption_OSome(_u4125), _u4129)) )).
% 39.89/40.12 cnf(matrix-2184, plain, ( ~c_Finite__Set_Ofolding__one(_u4130, _u4131, _u4132) | ( hAPP(_u4132, hAPP(hAPP(c_Set_Oinsert(_u4130), _u4133), c_Orderings_Obot__class_Obot(tc_fun(_u4130, tc_HOL_Obool)))) = _u4133) )).
% 39.89/40.12 cnf(matrix-2185, 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), _u4134)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), _u4135))))) )).
% 39.89/40.12 cnf(matrix-2186, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4137), _u4142)) | hBOOL(hAPP(hAPP(c_member(_u4137), _u4143), _u4142)) | ( hAPP(_u4141, hAPP(hAPP(c_Set_Oinsert(_u4137), _u4143), _u4142)) = hAPP(hAPP(_u4138, hAPP(_u4140, _u4143)), hAPP(_u4141, _u4142))) | ~c_Finite__Set_Ofolding__image__simple(_u4136, _u4137, _u4138, _u4139, _u4140, _u4141) )).
% 39.89/40.12 cnf(matrix-2187, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4145), _u4150)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4145), _u4151)) | ( hAPP(hAPP(_u4146, hAPP(_u4149, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4145, tc_HOL_Obool)), _u4150), _u4151))), hAPP(_u4149, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4145, tc_HOL_Obool)), _u4150), _u4151))) = hAPP(hAPP(_u4146, hAPP(_u4149, _u4150)), hAPP(_u4149, _u4151))) | ~c_Finite__Set_Ofolding__image__simple(_u4144, _u4145, _u4146, _u4147, _u4148, _u4149) )).
% 39.89/40.12 cnf(matrix-2188, plain, ( ~c_Finite__Set_Ofolding(_u4152, _u4153, _u4154, _u4155) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4152), _u4156)) | hBOOL(hAPP(hAPP(c_member(_u4152), _u4157), _u4156)) | ( hAPP(_u4155, hAPP(hAPP(c_Set_Oinsert(_u4152), _u4157), _u4156)) = hAPP(c_Fun_Ocomp(_u4153, _u4153, _u4153, hAPP(_u4155, _u4156)), hAPP(_u4154, _u4157))) )).
% 39.89/40.12 cnf(matrix-2189, plain, ( ~c_Finite__Set_Ofolding(_u4158, _u4159, _u4160, _u4161) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4158), _u4162)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4158), _u4163)) | ( hAPP(c_Fun_Ocomp(_u4159, _u4159, _u4159, hAPP(_u4161, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4158, tc_HOL_Obool)), _u4162), _u4163))), hAPP(_u4161, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4158, tc_HOL_Obool)), _u4162), _u4163))) = hAPP(c_Fun_Ocomp(_u4159, _u4159, _u4159, hAPP(_u4161, _u4162)), hAPP(_u4161, _u4163))) )).
% 39.89/40.12 cnf(matrix-2190, plain, ( ~c_Finite__Set_Ofolding__one(_u4164, _u4165, _u4166) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4164), _u4167)) | hBOOL(hAPP(hAPP(c_member(_u4164), _u4168), _u4167)) | ( _u4167 = c_Orderings_Obot__class_Obot(tc_fun(_u4164, tc_HOL_Obool))) | ( hAPP(_u4166, hAPP(hAPP(c_Set_Oinsert(_u4164), _u4168), _u4167)) = hAPP(hAPP(_u4165, _u4168), hAPP(_u4166, _u4167))) )).
% 39.89/40.12 cnf(matrix-2191, plain, ( ( hAPP(c_Relation_OImage(_u4169, _u4170, _u4171), c_Orderings_Obot__class_Obot(tc_fun(_u4169, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u4170, tc_HOL_Obool))) )).
% 39.89/40.12 cnf(matrix-2192, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4173), _u4178)) | ( hAPP(_u4177, hAPP(hAPP(c_Set_Oinsert(_u4173), _u4179), _u4178)) = hAPP(hAPP(_u4174, hAPP(_u4176, _u4179)), hAPP(_u4177, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4173, tc_HOL_Obool)), _u4178), hAPP(hAPP(c_Set_Oinsert(_u4173), _u4179), c_Orderings_Obot__class_Obot(tc_fun(_u4173, tc_HOL_Obool))))))) | ~c_Finite__Set_Ofolding__image__simple(_u4172, _u4173, _u4174, _u4175, _u4176, _u4177) )).
% 39.89/40.12 cnf(matrix-2193, plain, ( ~c_Finite__Set_Ofolding__one(_u4180, _u4181, _u4182) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4180), _u4183)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4180, tc_HOL_Obool)), _u4183), hAPP(hAPP(c_Set_Oinsert(_u4180), _u4184), c_Orderings_Obot__class_Obot(tc_fun(_u4180, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u4180, tc_HOL_Obool))) | ( hAPP(_u4182, hAPP(hAPP(c_Set_Oinsert(_u4180), _u4184), _u4183)) = _u4184) )).
% 39.89/40.12 cnf(matrix-2194, plain, ( ~c_Finite__Set_Ofolding__one(_u4180, _u4181, _u4182) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4180), _u4183)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4180, tc_HOL_Obool)), _u4183), hAPP(hAPP(c_Set_Oinsert(_u4180), _u4184), c_Orderings_Obot__class_Obot(tc_fun(_u4180, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u4180, tc_HOL_Obool))) | ( hAPP(_u4182, hAPP(hAPP(c_Set_Oinsert(_u4180), _u4184), _u4183)) = hAPP(hAPP(_u4181, _u4184), hAPP(_u4182, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4180, tc_HOL_Obool)), _u4183), hAPP(hAPP(c_Set_Oinsert(_u4180), _u4184), c_Orderings_Obot__class_Obot(tc_fun(_u4180, tc_HOL_Obool))))))) )).
% 39.89/40.12 cnf(matrix-2195, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4186), _u4191)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4186), _u4192)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4186, tc_HOL_Obool)), _u4191), _u4192) != c_Orderings_Obot__class_Obot(tc_fun(_u4186, tc_HOL_Obool))) | ( hAPP(_u4190, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4186, tc_HOL_Obool)), _u4191), _u4192)) = hAPP(hAPP(_u4187, hAPP(_u4190, _u4191)), hAPP(_u4190, _u4192))) | ~c_Finite__Set_Ofolding__image__simple(_u4185, _u4186, _u4187, _u4188, _u4189, _u4190) )).
% 39.89/40.12 cnf(matrix-2196, plain, ( ~c_Finite__Set_Ofolding__one(_u4193, _u4194, _u4195) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4193), _u4196)) | ( _u4196 = c_Orderings_Obot__class_Obot(tc_fun(_u4193, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4193), _u4197)) | ( _u4197 = c_Orderings_Obot__class_Obot(tc_fun(_u4193, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4193, tc_HOL_Obool)), _u4196), _u4197) != c_Orderings_Obot__class_Obot(tc_fun(_u4193, tc_HOL_Obool))) | ( hAPP(_u4195, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4193, tc_HOL_Obool)), _u4196), _u4197)) = hAPP(hAPP(_u4194, hAPP(_u4195, _u4196)), hAPP(_u4195, _u4197))) )).
% 39.89/40.12 cnf(matrix-2197, plain, ( ~c_Finite__Set_Ofolding__one(_u4198, _u4199, _u4200) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4198), _u4201)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4198), _u4202)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4198, tc_HOL_Obool)), _u4201), _u4202) = c_Orderings_Obot__class_Obot(tc_fun(_u4198, tc_HOL_Obool))) | ( hAPP(hAPP(_u4199, hAPP(_u4200, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4198, tc_HOL_Obool)), _u4201), _u4202))), hAPP(_u4200, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4198, tc_HOL_Obool)), _u4201), _u4202))) = hAPP(hAPP(_u4199, hAPP(_u4200, _u4201)), hAPP(_u4200, _u4202))) )).
% 39.89/40.12 cnf(matrix-2198, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u4203, _u4204), tc_HOL_Obool)), _u4205), _u4206)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4203, tc_HOL_Obool)), _u4207), _u4208)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4204, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u4203, _u4204, _u4205), _u4207)), hAPP(c_Relation_OImage(_u4203, _u4204, _u4206), _u4208))) )).
% 39.89/40.12 cnf(matrix-2199, plain, ( ( hAPP(c_Relation_OImage(_u4209, _u4210, _u4211), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4209, tc_HOL_Obool)), _u4212), _u4213)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4210, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u4209, _u4210, _u4211), _u4212)), hAPP(c_Relation_OImage(_u4209, _u4210, _u4211), _u4213))) )).
% 39.89/40.12 cnf(matrix-2200, plain, ( ( hAPP(c_Relation_OImage(_u4214, _u4215, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u4214, _u4215), tc_HOL_Obool)), _u4216), _u4217)), _u4218) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4215, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u4214, _u4215, _u4216), _u4218)), hAPP(c_Relation_OImage(_u4214, _u4215, _u4217), _u4218))) )).
% 39.89/40.12 cnf(matrix-2201, plain, ( ( _u4223 = c_Option_Ooption_ONone(_u4225)) | ( _u4223 = hAPP(c_Option_Ooption_OSome(_u4225), skolem74(_u4225, _u4223))) )).
% 39.89/40.12 cnf(matrix-2202, plain, ( ( _u4224 != hAPP(c_Option_Ooption_OSome(_u4226), _u4220)) | ( _u4224 != c_Option_Ooption_ONone(_u4226)) )).
% 39.89/40.12 cnf(matrix-2203, plain, ( ( _u4231 = hAPP(c_Option_Ooption_OSome(_u4233), skolem75(_u4233, _u4231))) | ( _u4231 = c_Option_Ooption_ONone(_u4233)) )).
% 39.89/40.12 cnf(matrix-2204, plain, ( ( _u4232 != c_Option_Ooption_ONone(_u4234)) | ( _u4232 != hAPP(c_Option_Ooption_OSome(_u4234), _u4228)) )).
% 39.89/40.12 cnf(matrix-2205, plain, ( ( hAPP(c_Option_Ooption_OSome(_u4235), _u4236) != c_Option_Ooption_ONone(_u4235)) )).
% 39.89/40.12 cnf(matrix-2206, plain, ( ( c_Option_Ooption_ONone(_u4237) != hAPP(c_Option_Ooption_OSome(_u4237), _u4238)) )).
% 39.89/40.12 cnf(matrix-2207, plain, ( ~c_Finite__Set_Ofolding(_u4239, _u4240, _u4241, _u4242) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4239), _u4243)) | ( hAPP(_u4242, hAPP(hAPP(c_Set_Oinsert(_u4239), _u4244), _u4243)) = hAPP(c_Fun_Ocomp(_u4240, _u4240, _u4240, hAPP(_u4242, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4239, tc_HOL_Obool)), _u4243), hAPP(hAPP(c_Set_Oinsert(_u4239), _u4244), c_Orderings_Obot__class_Obot(tc_fun(_u4239, tc_HOL_Obool)))))), hAPP(_u4241, _u4244))) )).
% 39.89/40.12 cnf(matrix-2208, plain, ( ~c_Finite__Set_Ofolding(_u4245, _u4246, _u4247, _u4248) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4245), _u4249)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4245), _u4250)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4245, tc_HOL_Obool)), _u4249), _u4250) != c_Orderings_Obot__class_Obot(tc_fun(_u4245, tc_HOL_Obool))) | ( hAPP(_u4248, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4245, tc_HOL_Obool)), _u4249), _u4250)) = hAPP(c_Fun_Ocomp(_u4246, _u4246, _u4246, hAPP(_u4248, _u4249)), hAPP(_u4248, _u4250))) )).
% 39.89/40.13 cnf(matrix-2209, plain, ( ( c_Option_Oset(_u4251, hAPP(c_Option_Ooption_OSome(_u4251), _u4252)) = hAPP(hAPP(c_Set_Oinsert(_u4251), _u4252), c_Orderings_Obot__class_Obot(tc_fun(_u4251, tc_HOL_Obool)))) )).
% 39.89/40.13 cnf(matrix-2210, plain, ( hBOOL(hAPP(hAPP(_u4261, _u4259), _u4263)) | ~hBOOL(hAPP(hAPP(c_member(_u4257), _u4259), c_SetInterval_Oord_OatMost(_u4257, _u4261, _u4263))) )).
% 39.89/40.13 cnf(matrix-2211, plain, ( ~hBOOL(hAPP(hAPP(_u4262, _u4260), _u4264)) | hBOOL(hAPP(hAPP(c_member(_u4258), _u4260), c_SetInterval_Oord_OatMost(_u4258, _u4262, _u4264))) )).
% 39.89/40.13 cnf(matrix-2212, plain, ( hBOOL(hAPP(hAPP(_u4273, _u4275), _u4271)) | ~hBOOL(hAPP(hAPP(c_member(_u4269), _u4271), c_SetInterval_Oord_OatLeast(_u4269, _u4273, _u4275))) )).
% 39.89/40.13 cnf(matrix-2213, plain, ( ~hBOOL(hAPP(hAPP(_u4274, _u4276), _u4272)) | hBOOL(hAPP(hAPP(c_member(_u4270), _u4272), c_SetInterval_Oord_OatLeast(_u4270, _u4274, _u4276))) )).
% 39.89/40.13 cnf(matrix-2214, plain, ( hBOOL(hAPP(hAPP(_u4285, _u4283), _u4287)) | ~hBOOL(hAPP(hAPP(c_member(_u4281), _u4283), c_SetInterval_Oord_OlessThan(_u4281, _u4285, _u4287))) )).
% 39.89/40.13 cnf(matrix-2215, plain, ( ~hBOOL(hAPP(hAPP(_u4286, _u4284), _u4288)) | hBOOL(hAPP(hAPP(c_member(_u4282), _u4284), c_SetInterval_Oord_OlessThan(_u4282, _u4286, _u4288))) )).
% 39.89/40.13 cnf(matrix-2216, plain, ( hBOOL(hAPP(hAPP(_u4297, _u4299), _u4295)) | ~hBOOL(hAPP(hAPP(c_member(_u4293), _u4295), c_SetInterval_Oord_OgreaterThan(_u4293, _u4297, _u4299))) )).
% 39.89/40.13 cnf(matrix-2217, plain, ( ~hBOOL(hAPP(hAPP(_u4298, _u4300), _u4296)) | hBOOL(hAPP(hAPP(c_member(_u4294), _u4296), c_SetInterval_Oord_OgreaterThan(_u4294, _u4298, _u4300))) )).
% 39.89/40.13 cnf(matrix-2218, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4306), _u4308), c_SetInterval_Oord_OatLeastAtMost(_u4306, _u4310, _u4312, _u4314))) | hBOOL(hAPP(hAPP(_u4310, _u4312), _u4308)) )).
% 39.89/40.13 cnf(matrix-2219, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4306), _u4308), c_SetInterval_Oord_OatLeastAtMost(_u4306, _u4310, _u4312, _u4314))) | hBOOL(hAPP(hAPP(_u4310, _u4308), _u4314)) )).
% 39.89/40.13 cnf(matrix-2220, plain, ( ~hBOOL(hAPP(hAPP(_u4311, _u4313), _u4309)) | ~hBOOL(hAPP(hAPP(_u4311, _u4309), _u4315)) | hBOOL(hAPP(hAPP(c_member(_u4307), _u4309), c_SetInterval_Oord_OatLeastAtMost(_u4307, _u4311, _u4313, _u4315))) )).
% 39.89/40.13 cnf(matrix-2221, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4321), _u4323), c_SetInterval_Oord_OgreaterThanLessThan(_u4321, _u4325, _u4327, _u4329))) | hBOOL(hAPP(hAPP(_u4325, _u4327), _u4323)) )).
% 39.89/40.13 cnf(matrix-2222, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4321), _u4323), c_SetInterval_Oord_OgreaterThanLessThan(_u4321, _u4325, _u4327, _u4329))) | hBOOL(hAPP(hAPP(_u4325, _u4323), _u4329)) )).
% 39.89/40.13 cnf(matrix-2223, plain, ( ~hBOOL(hAPP(hAPP(_u4326, _u4328), _u4324)) | ~hBOOL(hAPP(hAPP(_u4326, _u4324), _u4330)) | hBOOL(hAPP(hAPP(c_member(_u4322), _u4324), c_SetInterval_Oord_OgreaterThanLessThan(_u4322, _u4326, _u4328, _u4330))) )).
% 39.89/40.13 cnf(matrix-2224, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4337), _u4339), c_SetInterval_Oord_OatLeastLessThan(_u4337, _u4341, _u4343, _u4345, _u4347))) | hBOOL(hAPP(hAPP(_u4341, _u4345), _u4339)) )).
% 39.89/40.13 cnf(matrix-2225, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4337), _u4339), c_SetInterval_Oord_OatLeastLessThan(_u4337, _u4341, _u4343, _u4345, _u4347))) | hBOOL(hAPP(hAPP(_u4343, _u4339), _u4347)) )).
% 39.89/40.13 cnf(matrix-2226, plain, ( ~hBOOL(hAPP(hAPP(_u4342, _u4346), _u4340)) | ~hBOOL(hAPP(hAPP(_u4344, _u4340), _u4348)) | hBOOL(hAPP(hAPP(c_member(_u4338), _u4340), c_SetInterval_Oord_OatLeastLessThan(_u4338, _u4342, _u4344, _u4346, _u4348))) )).
% 39.89/40.13 cnf(matrix-2227, plain, ( ( _u4349 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u4350, _u4350), tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u4350, _u4350), tc_HOL_Obool)), _u4349), _u4351)) )).
% 39.89/40.13 cnf(matrix-2228, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4355), _u4357), c_Option_Oset(_u4355, _u4359))) | ( _u4359 = hAPP(c_Option_Ooption_OSome(_u4355), _u4357)) )).
% 39.89/40.13 cnf(matrix-2229, plain, ( ( _u4360 != hAPP(c_Option_Ooption_OSome(_u4356), _u4358)) | hBOOL(hAPP(hAPP(c_member(_u4356), _u4358), c_Option_Oset(_u4356, _u4360))) )).
% 39.89/40.13 cnf(matrix-2230, plain, ( ( c_Option_Oset(_u4361, c_Option_Ooption_ONone(_u4361)) = c_Orderings_Obot__class_Obot(tc_fun(_u4361, tc_HOL_Obool))) )).
% 39.89/40.13 cnf(matrix-2231, plain, ( ( c_Option_Oset(_u4364, _u4366) != c_Orderings_Obot__class_Obot(tc_fun(_u4364, tc_HOL_Obool))) | ( _u4366 = c_Option_Ooption_ONone(_u4364)) )).
% 39.89/40.13 cnf(matrix-2232, plain, ( ( _u4367 != c_Option_Ooption_ONone(_u4365)) | ( c_Option_Oset(_u4365, _u4367) = c_Orderings_Obot__class_Obot(tc_fun(_u4365, tc_HOL_Obool))) )).
% 39.89/40.13 cnf(matrix-2233, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4374), _u4376), c_SetInterval_Oord_OgreaterThanAtMost(_u4374, _u4378, _u4380, _u4382, _u4384))) | hBOOL(hAPP(hAPP(_u4380, _u4382), _u4376)) )).
% 39.89/40.13 cnf(matrix-2234, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4374), _u4376), c_SetInterval_Oord_OgreaterThanAtMost(_u4374, _u4378, _u4380, _u4382, _u4384))) | hBOOL(hAPP(hAPP(_u4378, _u4376), _u4384)) )).
% 39.89/40.13 cnf(matrix-2235, plain, ( ~hBOOL(hAPP(hAPP(_u4381, _u4383), _u4377)) | ~hBOOL(hAPP(hAPP(_u4379, _u4377), _u4385)) | hBOOL(hAPP(hAPP(c_member(_u4375), _u4377), c_SetInterval_Oord_OgreaterThanAtMost(_u4375, _u4379, _u4381, _u4383, _u4385))) )).
% 39.89/40.13 cnf(matrix-2236, plain, ( ~class_Lattices_Olattice(_u4386) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4386), _u4387)) | ~hBOOL(hAPP(hAPP(c_member(_u4386), _u4388), _u4387)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4386, tc_HOL_Obool)), _u4387), hAPP(hAPP(c_Set_Oinsert(_u4386), _u4388), c_Orderings_Obot__class_Obot(tc_fun(_u4386, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u4386, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u4386, _u4387) = _u4388) )).
% 39.89/40.13 cnf(matrix-2237, plain, ( ~class_Lattices_Olattice(_u4386) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4386), _u4387)) | ~hBOOL(hAPP(hAPP(c_member(_u4386), _u4388), _u4387)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4386, tc_HOL_Obool)), _u4387), hAPP(hAPP(c_Set_Oinsert(_u4386), _u4388), c_Orderings_Obot__class_Obot(tc_fun(_u4386, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u4386, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u4386, _u4387) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4386), _u4388), c_Big__Operators_Olattice__class_OInf__fin(_u4386, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4386, tc_HOL_Obool)), _u4387), hAPP(hAPP(c_Set_Oinsert(_u4386), _u4388), c_Orderings_Obot__class_Obot(tc_fun(_u4386, tc_HOL_Obool))))))) )).
% 39.89/40.13 cnf(matrix-2238, plain, ( ~class_Lattices_Olattice(_u4389) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4389), _u4390)) | ~hBOOL(hAPP(hAPP(c_member(_u4389), _u4391), _u4390)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4389, tc_HOL_Obool)), _u4390), hAPP(hAPP(c_Set_Oinsert(_u4389), _u4391), c_Orderings_Obot__class_Obot(tc_fun(_u4389, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u4389, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u4389, _u4390) = _u4391) )).
% 39.89/40.13 cnf(matrix-2239, plain, ( ~class_Lattices_Olattice(_u4389) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4389), _u4390)) | ~hBOOL(hAPP(hAPP(c_member(_u4389), _u4391), _u4390)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4389, tc_HOL_Obool)), _u4390), hAPP(hAPP(c_Set_Oinsert(_u4389), _u4391), c_Orderings_Obot__class_Obot(tc_fun(_u4389, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u4389, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u4389, _u4390) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4389), _u4391), c_Big__Operators_Olattice__class_OSup__fin(_u4389, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4389, tc_HOL_Obool)), _u4390), hAPP(hAPP(c_Set_Oinsert(_u4389), _u4391), c_Orderings_Obot__class_Obot(tc_fun(_u4389, tc_HOL_Obool))))))) )).
% 39.89/40.13 cnf(matrix-2240, plain, ( ~c_Finite__Set_Ofolding__idem(_u4392, _u4393, _u4394, _u4395) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4392), _u4396)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4392), _u4397)) | ( hAPP(_u4395, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4392, tc_HOL_Obool)), _u4396), _u4397)) = hAPP(c_Fun_Ocomp(_u4393, _u4393, _u4393, hAPP(_u4395, _u4396)), hAPP(_u4395, _u4397))) )).
% 39.89/40.13 cnf(matrix-2241, plain, ( ~c_Finite__Set_Ofolding__idem(_u4398, _u4399, _u4400, _u4401) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4398), _u4402)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4398, tc_HOL_Obool)), _u4403), _u4402)) | ( hAPP(c_Fun_Ocomp(_u4399, _u4399, _u4399, hAPP(_u4401, _u4402)), hAPP(_u4401, _u4403)) = hAPP(_u4401, _u4402)) )).
% 39.89/40.13 cnf(matrix-2242, plain, ( ~c_Finite__Set_Ofolding__idem(_u4404, _u4405, _u4406, _u4407) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4404), _u4408)) | ( hAPP(_u4407, hAPP(hAPP(c_Set_Oinsert(_u4404), _u4409), _u4408)) = hAPP(c_Fun_Ocomp(_u4405, _u4405, _u4405, hAPP(_u4407, _u4408)), hAPP(_u4406, _u4409))) )).
% 39.89/40.13 cnf(matrix-2243, plain, ( ~c_Finite__Set_Ofolding__one(_u4412, _u4413, _u4414) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4412), _u4415)) | ( _u4415 = c_Orderings_Obot__class_Obot(tc_fun(_u4412, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u4412), hAPP(hAPP(_u4413, skolem76(_u4415, _u4414, _u4413, _u4412)), skolem77(_u4415, _u4414, _u4413, _u4412))), hAPP(hAPP(c_Set_Oinsert(_u4412), skolem76(_u4415, _u4414, _u4413, _u4412)), hAPP(hAPP(c_Set_Oinsert(_u4412), skolem77(_u4415, _u4414, _u4413, _u4412)), c_Orderings_Obot__class_Obot(tc_fun(_u4412, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u4412), hAPP(_u4414, _u4415)), _u4415)) )).
% 39.89/40.13 cnf(matrix-2244, plain, ( ~c_Finite__Set_Ofolding__idem(_u4416, _u4417, _u4418, _u4419) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4416), _u4420)) | ~hBOOL(hAPP(hAPP(c_member(_u4416), _u4421), _u4420)) | ( hAPP(c_Fun_Ocomp(_u4417, _u4417, _u4417, hAPP(_u4419, _u4420)), hAPP(_u4418, _u4421)) = hAPP(_u4419, _u4420)) )).
% 39.89/40.13 cnf(matrix-2245, plain, ( ~class_Lattices_Olattice(_u4422) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4422), _u4423)) | ( _u4423 = c_Orderings_Obot__class_Obot(tc_fun(_u4422, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4422), c_Big__Operators_Olattice__class_OInf__fin(_u4422, _u4423)), c_Big__Operators_Olattice__class_OSup__fin(_u4422, _u4423))) )).
% 39.89/40.13 cnf(matrix-2246, plain, ( ~class_Lattices_Olattice(_u4424) | ( c_Big__Operators_Olattice__class_OSup__fin(_u4424, hAPP(hAPP(c_Set_Oinsert(_u4424), _u4425), c_Orderings_Obot__class_Obot(tc_fun(_u4424, tc_HOL_Obool)))) = _u4425) )).
% 39.89/40.13 cnf(matrix-2247, plain, ( ~class_Lattices_Olattice(_u4426) | ( c_Big__Operators_Olattice__class_OInf__fin(_u4426, hAPP(hAPP(c_Set_Oinsert(_u4426), _u4427), c_Orderings_Obot__class_Obot(tc_fun(_u4426, tc_HOL_Obool)))) = _u4427) )).
% 39.89/40.13 cnf(matrix-2248, plain, ( ( hAPP(c_Fun_Ocomp(_u4429, _u4429, _u4429, hAPP(_u4430, _u4432)), hAPP(_u4430, _u4432)) = hAPP(_u4430, _u4432)) | ~c_Finite__Set_Ofolding__idem(_u4428, _u4429, _u4430, _u4431) )).
% 39.89/40.13 cnf(matrix-2249, plain, ( ( hAPP(c_Fun_Ocomp(_u4434, _u4434, _u4437, hAPP(_u4435, _u4438)), hAPP(c_Fun_Ocomp(_u4434, _u4434, _u4437, hAPP(_u4435, _u4438)), _u4439)) = hAPP(c_Fun_Ocomp(_u4434, _u4434, _u4437, hAPP(_u4435, _u4438)), _u4439)) | ~c_Finite__Set_Ofolding__idem(_u4433, _u4434, _u4435, _u4436) )).
% 39.89/40.13 cnf(matrix-2250, plain, ( ~class_Lattices_Olattice(_u4440) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4440), _u4441)) | ~hBOOL(hAPP(hAPP(c_member(_u4440), _u4442), _u4441)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4440), _u4442), c_Big__Operators_Olattice__class_OInf__fin(_u4440, _u4441)) = _u4442) )).
% 39.89/40.13 cnf(matrix-2251, plain, ( ~class_Lattices_Olattice(_u4443) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4443), _u4444)) | ~hBOOL(hAPP(hAPP(c_member(_u4443), _u4445), _u4444)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4443), _u4445), c_Big__Operators_Olattice__class_OSup__fin(_u4443, _u4444)) = c_Big__Operators_Olattice__class_OSup__fin(_u4443, _u4444)) )).
% 39.89/40.13 cnf(matrix-2252, plain, ( ~class_Lattices_Olattice(_u4446) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4446), _u4447)) | ~hBOOL(hAPP(hAPP(c_member(_u4446), _u4448), _u4447)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4446), _u4448), c_Big__Operators_Olattice__class_OInf__fin(_u4446, _u4447)) = c_Big__Operators_Olattice__class_OInf__fin(_u4446, _u4447)) )).
% 39.89/40.13 cnf(matrix-2253, plain, ( ~class_Lattices_Olattice(_u4449) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4449), _u4450)) | ~hBOOL(hAPP(hAPP(c_member(_u4449), _u4451), _u4450)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4449), _u4451), c_Big__Operators_Olattice__class_OSup__fin(_u4449, _u4450)) = _u4451) )).
% 39.89/40.13 cnf(matrix-2254, plain, ( ~class_Lattices_Olattice(_u4452) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4452), _u4453)) | ( _u4453 = c_Orderings_Obot__class_Obot(tc_fun(_u4452, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u4452, hAPP(hAPP(c_Set_Oinsert(_u4452), _u4454), _u4453)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4452), _u4454), c_Big__Operators_Olattice__class_OSup__fin(_u4452, _u4453))) )).
% 39.89/40.13 cnf(matrix-2255, plain, ( ~class_Lattices_Olattice(_u4455) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4455), _u4456)) | ( _u4456 = c_Orderings_Obot__class_Obot(tc_fun(_u4455, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u4455, hAPP(hAPP(c_Set_Oinsert(_u4455), _u4457), _u4456)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4455), _u4457), c_Big__Operators_Olattice__class_OInf__fin(_u4455, _u4456))) )).
% 39.89/40.13 cnf(matrix-2256, plain, ( ~class_Lattices_Olattice(_u4458) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4458), _u4459)) | ( _u4460 = c_Orderings_Obot__class_Obot(tc_fun(_u4458, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4458, tc_HOL_Obool)), _u4460), _u4459)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4458), c_Big__Operators_Olattice__class_OSup__fin(_u4458, _u4460)), c_Big__Operators_Olattice__class_OSup__fin(_u4458, _u4459)) = c_Big__Operators_Olattice__class_OSup__fin(_u4458, _u4459)) )).
% 39.89/40.13 cnf(matrix-2257, plain, ( ~class_Lattices_Olattice(_u4461) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4461), _u4462)) | ( _u4463 = c_Orderings_Obot__class_Obot(tc_fun(_u4461, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4461, tc_HOL_Obool)), _u4463), _u4462)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4461), c_Big__Operators_Olattice__class_OInf__fin(_u4461, _u4463)), c_Big__Operators_Olattice__class_OInf__fin(_u4461, _u4462)) = c_Big__Operators_Olattice__class_OInf__fin(_u4461, _u4462)) )).
% 39.89/40.13 cnf(matrix-2258, plain, ( ~class_Lattices_Olattice(_u4464) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4464), _u4465)) | ( _u4465 = c_Orderings_Obot__class_Obot(tc_fun(_u4464, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4464), _u4466)) | ( _u4466 = c_Orderings_Obot__class_Obot(tc_fun(_u4464, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u4464, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4464, tc_HOL_Obool)), _u4465), _u4466)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4464), c_Big__Operators_Olattice__class_OSup__fin(_u4464, _u4465)), c_Big__Operators_Olattice__class_OSup__fin(_u4464, _u4466))) )).
% 39.89/40.13 cnf(matrix-2259, plain, ( ~class_Lattices_Olattice(_u4467) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4467), _u4468)) | ( _u4468 = c_Orderings_Obot__class_Obot(tc_fun(_u4467, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4467), _u4469)) | ( _u4469 = c_Orderings_Obot__class_Obot(tc_fun(_u4467, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u4467, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4467, tc_HOL_Obool)), _u4468), _u4469)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4467), c_Big__Operators_Olattice__class_OInf__fin(_u4467, _u4468)), c_Big__Operators_Olattice__class_OInf__fin(_u4467, _u4469))) )).
% 39.89/40.13 cnf(matrix-2260, plain, ( ~class_Lattices_Olattice(_u4470) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4470), _u4471)) | hBOOL(hAPP(hAPP(c_member(_u4470), _u4472), _u4471)) | ( _u4471 = c_Orderings_Obot__class_Obot(tc_fun(_u4470, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u4470, hAPP(hAPP(c_Set_Oinsert(_u4470), _u4472), _u4471)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4470), _u4472), c_Big__Operators_Olattice__class_OSup__fin(_u4470, _u4471))) )).
% 39.89/40.13 cnf(matrix-2261, plain, ( ~class_Lattices_Olattice(_u4473) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4473), _u4474)) | hBOOL(hAPP(hAPP(c_member(_u4473), _u4475), _u4474)) | ( _u4474 = c_Orderings_Obot__class_Obot(tc_fun(_u4473, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u4473, hAPP(hAPP(c_Set_Oinsert(_u4473), _u4475), _u4474)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4473), _u4475), c_Big__Operators_Olattice__class_OInf__fin(_u4473, _u4474))) )).
% 39.89/40.13 cnf(matrix-2262, plain, ( ~class_Lattices_Olattice(_u4476) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4476), _u4477)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4476, tc_HOL_Obool)), _u4477), hAPP(hAPP(c_Set_Oinsert(_u4476), _u4478), c_Orderings_Obot__class_Obot(tc_fun(_u4476, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u4476, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u4476, hAPP(hAPP(c_Set_Oinsert(_u4476), _u4478), _u4477)) = _u4478) )).
% 39.89/40.13 cnf(matrix-2263, plain, ( ~class_Lattices_Olattice(_u4476) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4476), _u4477)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4476, tc_HOL_Obool)), _u4477), hAPP(hAPP(c_Set_Oinsert(_u4476), _u4478), c_Orderings_Obot__class_Obot(tc_fun(_u4476, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u4476, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u4476, hAPP(hAPP(c_Set_Oinsert(_u4476), _u4478), _u4477)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4476), _u4478), c_Big__Operators_Olattice__class_OSup__fin(_u4476, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4476, tc_HOL_Obool)), _u4477), hAPP(hAPP(c_Set_Oinsert(_u4476), _u4478), c_Orderings_Obot__class_Obot(tc_fun(_u4476, tc_HOL_Obool))))))) )).
% 39.89/40.13 cnf(matrix-2264, plain, ( ~class_Lattices_Olattice(_u4479) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4479), _u4480)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4479, tc_HOL_Obool)), _u4480), hAPP(hAPP(c_Set_Oinsert(_u4479), _u4481), c_Orderings_Obot__class_Obot(tc_fun(_u4479, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u4479, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u4479, hAPP(hAPP(c_Set_Oinsert(_u4479), _u4481), _u4480)) = _u4481) )).
% 39.89/40.13 cnf(matrix-2265, plain, ( ~class_Lattices_Olattice(_u4479) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4479), _u4480)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4479, tc_HOL_Obool)), _u4480), hAPP(hAPP(c_Set_Oinsert(_u4479), _u4481), c_Orderings_Obot__class_Obot(tc_fun(_u4479, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u4479, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u4479, hAPP(hAPP(c_Set_Oinsert(_u4479), _u4481), _u4480)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4479), _u4481), c_Big__Operators_Olattice__class_OInf__fin(_u4479, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4479, tc_HOL_Obool)), _u4480), hAPP(hAPP(c_Set_Oinsert(_u4479), _u4481), c_Orderings_Obot__class_Obot(tc_fun(_u4479, tc_HOL_Obool))))))) )).
% 39.89/40.13 cnf(matrix-2266, plain, ( ~class_Lattices_Olattice(_u4482) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4482), _u4483)) | ( _u4483 = c_Orderings_Obot__class_Obot(tc_fun(_u4482, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4482), _u4484)) | ( _u4484 = c_Orderings_Obot__class_Obot(tc_fun(_u4482, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4482, tc_HOL_Obool)), _u4483), _u4484) != c_Orderings_Obot__class_Obot(tc_fun(_u4482, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u4482, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4482, tc_HOL_Obool)), _u4483), _u4484)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4482), c_Big__Operators_Olattice__class_OSup__fin(_u4482, _u4483)), c_Big__Operators_Olattice__class_OSup__fin(_u4482, _u4484))) )).
% 39.89/40.13 cnf(matrix-2267, plain, ( ~class_Lattices_Olattice(_u4485) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4485), _u4486)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4485), _u4487)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4485, tc_HOL_Obool)), _u4486), _u4487) = c_Orderings_Obot__class_Obot(tc_fun(_u4485, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4485), c_Big__Operators_Olattice__class_OSup__fin(_u4485, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4485, tc_HOL_Obool)), _u4486), _u4487))), c_Big__Operators_Olattice__class_OSup__fin(_u4485, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4485, tc_HOL_Obool)), _u4486), _u4487))) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4485), c_Big__Operators_Olattice__class_OSup__fin(_u4485, _u4486)), c_Big__Operators_Olattice__class_OSup__fin(_u4485, _u4487))) )).
% 39.89/40.13 cnf(matrix-2268, plain, ( ~class_Lattices_Olattice(_u4488) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4488), _u4489)) | ( _u4489 = c_Orderings_Obot__class_Obot(tc_fun(_u4488, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4488), _u4490)) | ( _u4490 = c_Orderings_Obot__class_Obot(tc_fun(_u4488, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4488, tc_HOL_Obool)), _u4489), _u4490) != c_Orderings_Obot__class_Obot(tc_fun(_u4488, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u4488, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4488, tc_HOL_Obool)), _u4489), _u4490)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4488), c_Big__Operators_Olattice__class_OInf__fin(_u4488, _u4489)), c_Big__Operators_Olattice__class_OInf__fin(_u4488, _u4490))) )).
% 39.89/40.13 cnf(matrix-2269, plain, ( ~class_Lattices_Olattice(_u4491) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4491), _u4492)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4491), _u4493)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4491, tc_HOL_Obool)), _u4492), _u4493) = c_Orderings_Obot__class_Obot(tc_fun(_u4491, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4491), c_Big__Operators_Olattice__class_OInf__fin(_u4491, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4491, tc_HOL_Obool)), _u4492), _u4493))), c_Big__Operators_Olattice__class_OInf__fin(_u4491, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4491, tc_HOL_Obool)), _u4492), _u4493))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4491), c_Big__Operators_Olattice__class_OInf__fin(_u4491, _u4492)), c_Big__Operators_Olattice__class_OInf__fin(_u4491, _u4493))) )).
% 39.89/40.13 cnf(matrix-2270, plain, ( ~class_Lattices_Olattice(_u4496) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4496), _u4497)) | ( _u4497 = c_Orderings_Obot__class_Obot(tc_fun(_u4496, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u4496), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4496), skolem78(_u4497, _u4496)), skolem79(_u4497, _u4496))), hAPP(hAPP(c_Set_Oinsert(_u4496), skolem78(_u4497, _u4496)), hAPP(hAPP(c_Set_Oinsert(_u4496), skolem79(_u4497, _u4496)), c_Orderings_Obot__class_Obot(tc_fun(_u4496, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u4496), c_Big__Operators_Olattice__class_OInf__fin(_u4496, _u4497)), _u4497)) )).
% 39.89/40.13 cnf(matrix-2271, plain, ( ~class_Lattices_Olattice(_u4500) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4500), _u4501)) | ( _u4501 = c_Orderings_Obot__class_Obot(tc_fun(_u4500, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u4500), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4500), skolem80(_u4501, _u4500)), skolem81(_u4501, _u4500))), hAPP(hAPP(c_Set_Oinsert(_u4500), skolem80(_u4501, _u4500)), hAPP(hAPP(c_Set_Oinsert(_u4500), skolem81(_u4501, _u4500)), c_Orderings_Obot__class_Obot(tc_fun(_u4500, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u4500), c_Big__Operators_Olattice__class_OSup__fin(_u4500, _u4501)), _u4501)) )).
% 39.89/40.13 cnf(matrix-2272, plain, ( ~class_Lattices_Odistrib__lattice(_u4502) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4502), _u4503)) | ( _u4503 = c_Orderings_Obot__class_Obot(tc_fun(_u4502, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4502), _u4504), c_Big__Operators_Olattice__class_OSup__fin(_u4502, _u4503)) = c_Big__Operators_Olattice__class_OSup__fin(_u4502, hAPP(c_Set_OCollect(_u4502), hAPP(hAPP(c_COMBB(tc_fun(_u4502, tc_HOL_Obool), tc_HOL_Obool, _u4502), c_HOL_OEx(_u4502)), hAPP(hAPP(c_COMBC(_u4502, tc_fun(_u4502, tc_HOL_Obool), tc_fun(_u4502, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u4502, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u4502, tc_HOL_Obool), tc_fun(_u4502, tc_HOL_Obool)), _u4502), c_COMBS(_u4502, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u4502, tc_HOL_Obool), tc_fun(_u4502, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u4502), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u4502), c_fconj)), hAPP(hAPP(c_COMBC(_u4502, tc_fun(_u4502, _u4502), tc_fun(_u4502, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u4502, tc_HOL_Obool), tc_fun(tc_fun(_u4502, _u4502), tc_fun(_u4502, tc_HOL_Obool)), _u4502), c_COMBB(_u4502, tc_HOL_Obool, _u4502)), c_fequal)), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4502), _u4504))))), hAPP(hAPP(c_COMBC(_u4502, tc_fun(_u4502, tc_HOL_Obool), tc_HOL_Obool), c_member(_u4502)), _u4503)))))) )).
% 39.89/40.13 cnf(matrix-2273, plain, ( ~class_Lattices_Odistrib__lattice(_u4505) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4505), _u4506)) | ( _u4506 = c_Orderings_Obot__class_Obot(tc_fun(_u4505, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4505), _u4507)) | ( _u4507 = c_Orderings_Obot__class_Obot(tc_fun(_u4505, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4505), c_Big__Operators_Olattice__class_OSup__fin(_u4505, _u4506)), c_Big__Operators_Olattice__class_OSup__fin(_u4505, _u4507)) = c_Big__Operators_Olattice__class_OSup__fin(_u4505, hAPP(c_Set_OCollect(_u4505), hAPP(hAPP(c_COMBB(tc_fun(_u4505, tc_HOL_Obool), tc_HOL_Obool, _u4505), c_HOL_OEx(_u4505)), hAPP(hAPP(c_COMBB(tc_fun(_u4505, tc_fun(_u4505, tc_HOL_Obool)), tc_fun(_u4505, tc_HOL_Obool), _u4505), hAPP(c_COMBB(tc_fun(_u4505, tc_HOL_Obool), tc_HOL_Obool, _u4505), c_HOL_OEx(_u4505))), hAPP(hAPP(c_COMBC(_u4505, tc_fun(_u4505, tc_fun(_u4505, tc_HOL_Obool)), tc_fun(_u4505, tc_fun(_u4505, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u4505, tc_fun(tc_fun(_u4505, tc_HOL_Obool), tc_fun(_u4505, tc_HOL_Obool))), tc_fun(tc_fun(_u4505, tc_fun(_u4505, tc_HOL_Obool)), tc_fun(_u4505, tc_fun(_u4505, tc_HOL_Obool))), _u4505), c_COMBS(_u4505, tc_fun(_u4505, tc_HOL_Obool), tc_fun(_u4505, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u4505, tc_fun(_u4505, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u4505, tc_fun(tc_fun(_u4505, tc_HOL_Obool), tc_fun(_u4505, tc_HOL_Obool))), _u4505), hAPP(c_COMBB(tc_fun(_u4505, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u4505, tc_HOL_Obool), tc_fun(_u4505, tc_HOL_Obool)), _u4505), c_COMBS(_u4505, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u4505, tc_fun(_u4505, tc_HOL_Obool)), tc_fun(_u4505, tc_fun(_u4505, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u4505), hAPP(c_COMBB(tc_fun(_u4505, tc_HOL_Obool), tc_fun(_u4505, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u4505), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u4505), c_fconj))), hAPP(hAPP(c_COMBC(_u4505, tc_fun(_u4505, tc_fun(_u4505, _u4505)), tc_fun(_u4505, tc_fun(_u4505, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u4505, _u4505), tc_fun(_u4505, tc_HOL_Obool)), tc_fun(tc_fun(_u4505, tc_fun(_u4505, _u4505)), tc_fun(_u4505, tc_fun(_u4505, tc_HOL_Obool))), _u4505), c_COMBB(tc_fun(_u4505, _u4505), tc_fun(_u4505, tc_HOL_Obool), _u4505)), hAPP(hAPP(c_COMBB(tc_fun(_u4505, tc_HOL_Obool), tc_fun(tc_fun(_u4505, _u4505), tc_fun(_u4505, tc_HOL_Obool)), _u4505), c_COMBB(_u4505, tc_HOL_Obool, _u4505)), c_fequal))), c_Lattices_Osemilattice__inf__class_Oinf(_u4505)))))), hAPP(hAPP(c_COMBC(_u4505, tc_fun(_u4505, tc_HOL_Obool), tc_fun(_u4505, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u4505, tc_HOL_Obool), tc_fun(_u4505, tc_HOL_Obool)), _u4505), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u4505)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u4505), c_fconj), hAPP(hAPP(c_COMBC(_u4505, tc_fun(_u4505, tc_HOL_Obool), tc_HOL_Obool), c_member(_u4505)), _u4506)))), hAPP(hAPP(c_COMBC(_u4505, tc_fun(_u4505, tc_HOL_Obool), tc_HOL_Obool), c_member(_u4505)), _u4507)))))))) )).
% 39.89/40.13 cnf(matrix-2274, plain, ( ~class_Lattices_Odistrib__lattice(_u4508) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4508), _u4509)) | ( _u4509 = c_Orderings_Obot__class_Obot(tc_fun(_u4508, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4508), _u4510), c_Big__Operators_Olattice__class_OInf__fin(_u4508, _u4509)) = c_Big__Operators_Olattice__class_OInf__fin(_u4508, hAPP(c_Set_OCollect(_u4508), hAPP(hAPP(c_COMBB(tc_fun(_u4508, tc_HOL_Obool), tc_HOL_Obool, _u4508), c_HOL_OEx(_u4508)), hAPP(hAPP(c_COMBC(_u4508, tc_fun(_u4508, tc_HOL_Obool), tc_fun(_u4508, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u4508, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u4508, tc_HOL_Obool), tc_fun(_u4508, tc_HOL_Obool)), _u4508), c_COMBS(_u4508, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u4508, tc_HOL_Obool), tc_fun(_u4508, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u4508), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u4508), c_fconj)), hAPP(hAPP(c_COMBC(_u4508, tc_fun(_u4508, _u4508), tc_fun(_u4508, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u4508, tc_HOL_Obool), tc_fun(tc_fun(_u4508, _u4508), tc_fun(_u4508, tc_HOL_Obool)), _u4508), c_COMBB(_u4508, tc_HOL_Obool, _u4508)), c_fequal)), hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4508), _u4510))))), hAPP(hAPP(c_COMBC(_u4508, tc_fun(_u4508, tc_HOL_Obool), tc_HOL_Obool), c_member(_u4508)), _u4509)))))) )).
% 39.89/40.13 cnf(matrix-2275, plain, ( ~class_Lattices_Odistrib__lattice(_u4511) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4511), _u4512)) | ( _u4512 = c_Orderings_Obot__class_Obot(tc_fun(_u4511, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4511), _u4513)) | ( _u4513 = c_Orderings_Obot__class_Obot(tc_fun(_u4511, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4511), c_Big__Operators_Olattice__class_OInf__fin(_u4511, _u4512)), c_Big__Operators_Olattice__class_OInf__fin(_u4511, _u4513)) = c_Big__Operators_Olattice__class_OInf__fin(_u4511, hAPP(c_Set_OCollect(_u4511), hAPP(hAPP(c_COMBB(tc_fun(_u4511, tc_HOL_Obool), tc_HOL_Obool, _u4511), c_HOL_OEx(_u4511)), hAPP(hAPP(c_COMBB(tc_fun(_u4511, tc_fun(_u4511, tc_HOL_Obool)), tc_fun(_u4511, tc_HOL_Obool), _u4511), hAPP(c_COMBB(tc_fun(_u4511, tc_HOL_Obool), tc_HOL_Obool, _u4511), c_HOL_OEx(_u4511))), hAPP(hAPP(c_COMBC(_u4511, tc_fun(_u4511, tc_fun(_u4511, tc_HOL_Obool)), tc_fun(_u4511, tc_fun(_u4511, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u4511, tc_fun(tc_fun(_u4511, tc_HOL_Obool), tc_fun(_u4511, tc_HOL_Obool))), tc_fun(tc_fun(_u4511, tc_fun(_u4511, tc_HOL_Obool)), tc_fun(_u4511, tc_fun(_u4511, tc_HOL_Obool))), _u4511), c_COMBS(_u4511, tc_fun(_u4511, tc_HOL_Obool), tc_fun(_u4511, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u4511, tc_fun(_u4511, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u4511, tc_fun(tc_fun(_u4511, tc_HOL_Obool), tc_fun(_u4511, tc_HOL_Obool))), _u4511), hAPP(c_COMBB(tc_fun(_u4511, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u4511, tc_HOL_Obool), tc_fun(_u4511, tc_HOL_Obool)), _u4511), c_COMBS(_u4511, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u4511, tc_fun(_u4511, tc_HOL_Obool)), tc_fun(_u4511, tc_fun(_u4511, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u4511), hAPP(c_COMBB(tc_fun(_u4511, tc_HOL_Obool), tc_fun(_u4511, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u4511), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u4511), c_fconj))), hAPP(hAPP(c_COMBC(_u4511, tc_fun(_u4511, tc_fun(_u4511, _u4511)), tc_fun(_u4511, tc_fun(_u4511, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u4511, _u4511), tc_fun(_u4511, tc_HOL_Obool)), tc_fun(tc_fun(_u4511, tc_fun(_u4511, _u4511)), tc_fun(_u4511, tc_fun(_u4511, tc_HOL_Obool))), _u4511), c_COMBB(tc_fun(_u4511, _u4511), tc_fun(_u4511, tc_HOL_Obool), _u4511)), hAPP(hAPP(c_COMBB(tc_fun(_u4511, tc_HOL_Obool), tc_fun(tc_fun(_u4511, _u4511), tc_fun(_u4511, tc_HOL_Obool)), _u4511), c_COMBB(_u4511, tc_HOL_Obool, _u4511)), c_fequal))), c_Lattices_Osemilattice__sup__class_Osup(_u4511)))))), hAPP(hAPP(c_COMBC(_u4511, tc_fun(_u4511, tc_HOL_Obool), tc_fun(_u4511, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u4511, tc_HOL_Obool), tc_fun(_u4511, tc_HOL_Obool)), _u4511), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u4511)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u4511), c_fconj), hAPP(hAPP(c_COMBC(_u4511, tc_fun(_u4511, tc_HOL_Obool), tc_HOL_Obool), c_member(_u4511)), _u4512)))), hAPP(hAPP(c_COMBC(_u4511, tc_fun(_u4511, tc_HOL_Obool), tc_HOL_Obool), c_member(_u4511)), _u4513)))))))) )).
% 39.89/40.13 cnf(matrix-2276, plain, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u4514), _u4515), _u4516) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4514, tc_fun(tc_fun(_u4514, tc_HOL_Obool), tc_HOL_Obool)), _u4515), hAPP(hAPP(c_COMBC(_u4514, tc_fun(tc_fun(_u4514, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u4514, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u4514, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u4514, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u4514, tc_HOL_Obool), tc_HOL_Obool)), _u4514), c_Set_Oinsert(tc_fun(_u4514, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u4514, tc_HOL_Obool), tc_fun(_u4514, tc_HOL_Obool), _u4514), c_Relation_OImage(_u4514, _u4514, _u4516)), hAPP(hAPP(c_COMBC(_u4514, tc_fun(_u4514, tc_HOL_Obool), tc_fun(_u4514, tc_HOL_Obool)), c_Set_Oinsert(_u4514)), c_Orderings_Obot__class_Obot(tc_fun(_u4514, tc_HOL_Obool)))))), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u4514, tc_HOL_Obool), tc_HOL_Obool))))) )).
% 39.89/40.13 cnf(matrix-2277, plain, ( ~class_Lattices_Olattice(_u4519) | ( hAPP(_u4520, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4519), skolem82(_u4521, _u4520, _u4519)), skolem83(_u4521, _u4520, _u4519))) != hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4519), hAPP(_u4520, skolem82(_u4521, _u4520, _u4519))), hAPP(_u4520, skolem83(_u4521, _u4520, _u4519)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4519), _u4521)) | ( _u4521 = c_Orderings_Obot__class_Obot(tc_fun(_u4519, tc_HOL_Obool))) | ( hAPP(_u4520, c_Big__Operators_Olattice__class_OInf__fin(_u4519, _u4521)) = c_Big__Operators_Olattice__class_OInf__fin(_u4519, hAPP(c_Set_Oimage(_u4519, _u4519, _u4520), _u4521))) )).
% 39.89/40.13 cnf(matrix-2278, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4522), _u4523), _u4524)) | ~hBOOL(hAPP(hAPP(_u4525, _u4523), _u4526)) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4522, tc_fun(_u4527, tc_HOL_Obool)), _u4524), _u4525), _u4526)) )).
% 39.89/40.13 cnf(matrix-2279, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4535, tc_fun(_u4537, tc_HOL_Obool)), _u4539), _u4541), _u4543)) | hBOOL(hAPP(hAPP(c_member(_u4535), skolem84(_u4543, _u4541, _u4539, _u4537, _u4535)), _u4539)) )).
% 39.89/40.13 cnf(matrix-2280, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4535, tc_fun(_u4537, tc_HOL_Obool)), _u4539), _u4541), _u4543)) | hBOOL(hAPP(hAPP(_u4541, skolem84(_u4543, _u4541, _u4539, _u4537, _u4535)), _u4543)) )).
% 39.89/40.13 cnf(matrix-2281, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4536), _u4529), _u4540)) | ~hBOOL(hAPP(hAPP(_u4542, _u4529), _u4544)) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4536, tc_fun(_u4538, tc_HOL_Obool)), _u4540), _u4542), _u4544)) )).
% 39.89/40.13 cnf(matrix-2282, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4547), _u4548)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4549), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4547, tc_fun(_u4549, tc_HOL_Obool)), _u4548), _u4550))) | ~hBOOL(hAPP(hAPP(c_member(_u4547), _u4545), _u4548)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4549), hAPP(_u4550, _u4545))) )).
% 39.89/40.13 cnf(matrix-2283, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4547), _u4548)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4549), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4547, tc_fun(_u4549, tc_HOL_Obool)), _u4548), _u4550))) | hBOOL(hAPP(hAPP(c_member(_u4547), skolem85(_u4550, _u4549, _u4548, _u4547)), _u4548)) )).
% 39.89/40.13 cnf(matrix-2284, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4547), _u4548)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4549), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4547, tc_fun(_u4549, tc_HOL_Obool)), _u4548), _u4550))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4549), hAPP(_u4550, skolem85(_u4550, _u4549, _u4548, _u4547)))) )).
% 39.89/40.13 cnf(matrix-2285, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4551, tc_fun(_u4552, tc_HOL_Obool)), _u4553), hAPP(c_Fun_Ocomp(_u4554, tc_fun(_u4552, tc_HOL_Obool), _u4551, _u4555), _u4556)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4554, tc_fun(_u4552, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u4551, _u4554, _u4556), _u4553)), _u4555)) )).
% 39.89/40.13 cnf(matrix-2286, plain, ( ( hAPP(c_Relation_OImage(_u4557, _u4558, _u4559), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4560, tc_fun(_u4557, tc_HOL_Obool)), _u4561), _u4562)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4560, tc_fun(_u4558, tc_HOL_Obool)), _u4561), hAPP(hAPP(c_COMBB(tc_fun(_u4557, tc_HOL_Obool), tc_fun(_u4558, tc_HOL_Obool), _u4560), c_Relation_OImage(_u4557, _u4558, _u4559)), _u4562))) )).
% 39.89/40.13 cnf(matrix-2287, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4565), hAPP(c_Set_OCollect(_u4565), _u4566))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4567), hAPP(c_Set_OCollect(_u4567), hAPP(hAPP(c_COMBB(tc_fun(_u4565, tc_HOL_Obool), tc_HOL_Obool, _u4567), c_HOL_OEx(_u4565)), hAPP(hAPP(c_COMBB(tc_fun(_u4565, tc_HOL_Obool), tc_fun(_u4565, tc_HOL_Obool), _u4567), hAPP(c_COMBS(_u4565, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u4565), c_fconj), _u4566))), _u4568))))) | ~hBOOL(hAPP(_u4566, _u4563)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4567), hAPP(c_Set_OCollect(_u4567), hAPP(hAPP(c_COMBC(_u4567, _u4565, tc_HOL_Obool), _u4568), _u4563)))) )).
% 39.89/40.13 cnf(matrix-2288, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4565), hAPP(c_Set_OCollect(_u4565), _u4566))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4567), hAPP(c_Set_OCollect(_u4567), hAPP(hAPP(c_COMBB(tc_fun(_u4565, tc_HOL_Obool), tc_HOL_Obool, _u4567), c_HOL_OEx(_u4565)), hAPP(hAPP(c_COMBB(tc_fun(_u4565, tc_HOL_Obool), tc_fun(_u4565, tc_HOL_Obool), _u4567), hAPP(c_COMBS(_u4565, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u4565), c_fconj), _u4566))), _u4568))))) | hBOOL(hAPP(_u4566, skolem86(_u4568, _u4567, _u4566, _u4565))) )).
% 39.89/40.13 cnf(matrix-2289, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4565), hAPP(c_Set_OCollect(_u4565), _u4566))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4567), hAPP(c_Set_OCollect(_u4567), hAPP(hAPP(c_COMBB(tc_fun(_u4565, tc_HOL_Obool), tc_HOL_Obool, _u4567), c_HOL_OEx(_u4565)), hAPP(hAPP(c_COMBB(tc_fun(_u4565, tc_HOL_Obool), tc_fun(_u4565, tc_HOL_Obool), _u4567), hAPP(c_COMBS(_u4565, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u4565), c_fconj), _u4566))), _u4568))))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4567), hAPP(c_Set_OCollect(_u4567), hAPP(hAPP(c_COMBC(_u4567, _u4565, tc_HOL_Obool), _u4568), skolem86(_u4568, _u4567, _u4566, _u4565))))) )).
% 39.89/40.13 cnf(matrix-2290, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4569), hAPP(c_Set_OCollect(_u4569), _u4570))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4571), hAPP(c_Set_OCollect(_u4571), hAPP(hAPP(c_COMBB(tc_fun(_u4569, tc_HOL_Obool), tc_HOL_Obool, _u4571), c_HOL_OEx(_u4569)), hAPP(hAPP(c_COMBC(_u4571, tc_fun(_u4569, tc_HOL_Obool), tc_fun(_u4569, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u4569, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u4569, tc_HOL_Obool), tc_fun(_u4569, tc_HOL_Obool)), _u4571), c_COMBS(_u4569, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u4569, tc_HOL_Obool), tc_fun(_u4569, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u4571), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u4569), c_fconj)), hAPP(hAPP(c_COMBC(_u4571, tc_fun(_u4569, _u4571), tc_fun(_u4569, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u4571, tc_HOL_Obool), tc_fun(tc_fun(_u4569, _u4571), tc_fun(_u4569, tc_HOL_Obool)), _u4571), c_COMBB(_u4571, tc_HOL_Obool, _u4569)), c_fequal)), _u4572)))), _u4570))))) )).
% 39.89/40.13 cnf(matrix-2291, plain, ( ( hAPP(c_Relation_OImage(_u4573, _u4574, _u4575), _u4576) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4573, tc_fun(_u4574, tc_HOL_Obool)), _u4576), hAPP(hAPP(c_COMBB(tc_fun(_u4573, tc_HOL_Obool), tc_fun(_u4574, tc_HOL_Obool), _u4573), c_Relation_OImage(_u4573, _u4574, _u4575)), hAPP(hAPP(c_COMBC(_u4573, tc_fun(_u4573, tc_HOL_Obool), tc_fun(_u4573, tc_HOL_Obool)), c_Set_Oinsert(_u4573)), c_Orderings_Obot__class_Obot(tc_fun(_u4573, tc_HOL_Obool)))))) )).
% 39.89/40.13 cnf(matrix-2292, plain, ( ( c_Map_Oran(_u4577, _u4578, _u4579) = hAPP(c_Set_OCollect(_u4578), hAPP(hAPP(c_COMBB(tc_fun(_u4577, tc_HOL_Obool), tc_HOL_Obool, _u4578), c_HOL_OEx(_u4577)), hAPP(hAPP(c_COMBB(tc_Option_Ooption(_u4578), tc_fun(_u4577, tc_HOL_Obool), _u4578), hAPP(c_COMBC(_u4577, tc_Option_Ooption(_u4578), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Option_Ooption(_u4578), tc_fun(tc_Option_Ooption(_u4578), tc_HOL_Obool), _u4577), c_fequal), _u4579))), c_Option_Ooption_OSome(_u4578))))) )).
% 39.89/40.13 cnf(matrix-2293, plain, ( ( hAPP(c_Set_OPow(_u4580), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4580, tc_HOL_Obool)), _u4581)) = hAPP(c_Set_OCollect(tc_fun(_u4580, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u4580, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u4580, tc_HOL_Obool)), c_HOL_OEx(tc_fun(_u4580, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(tc_fun(_u4580, tc_HOL_Obool), tc_fun(tc_fun(_u4580, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u4580, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u4580, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_fun(_u4580, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u4580, tc_HOL_Obool), tc_HOL_Obool)), tc_fun(_u4580, tc_HOL_Obool)), c_COMBS(tc_fun(_u4580, tc_HOL_Obool), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u4580, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u4580, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(_u4580, tc_HOL_Obool)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u4580, tc_HOL_Obool)), c_fconj)), hAPP(hAPP(c_COMBC(tc_fun(_u4580, tc_HOL_Obool), tc_fun(tc_fun(_u4580, tc_HOL_Obool), tc_fun(_u4580, tc_HOL_Obool)), tc_fun(tc_fun(_u4580, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u4580, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u4580, tc_HOL_Obool), tc_fun(_u4580, tc_HOL_Obool)), tc_fun(tc_fun(_u4580, tc_HOL_Obool), tc_HOL_Obool)), tc_fun(_u4580, tc_HOL_Obool)), c_COMBB(tc_fun(_u4580, tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u4580, tc_HOL_Obool))), c_fequal)), c_Groups_Ouminus__class_Ouminus(tc_fun(_u4580, tc_HOL_Obool)))))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u4580, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u4580, tc_HOL_Obool)), hAPP(c_member(tc_fun(_u4580, tc_HOL_Obool)), _u4581)), c_Set_OPow(_u4580)))))) )).
% 39.89/40.13 cnf(matrix-2294, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4582), _u4583), _u4584)) | ~hBOOL(hAPP(hAPP(c_member(_u4585), _u4586), hAPP(_u4587, _u4583))) | hBOOL(hAPP(hAPP(c_member(_u4585), _u4586), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4582, tc_fun(_u4585, tc_HOL_Obool)), _u4584), _u4587))) )).
% 39.89/40.13 cnf(matrix-2295, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u4588, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4589, tc_fun(tc_fun(_u4588, tc_HOL_Obool), tc_HOL_Obool)), _u4590), hAPP(hAPP(c_COMBB(tc_fun(_u4588, tc_HOL_Obool), tc_fun(tc_fun(_u4588, tc_HOL_Obool), tc_HOL_Obool), _u4589), c_Set_OPow(_u4588)), _u4591))), hAPP(c_Set_OPow(_u4588), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4589, tc_fun(_u4588, tc_HOL_Obool)), _u4590), _u4591)))) )).
% 39.89/40.13 cnf(matrix-2296, plain, ( ( hAPP(c_Set_Oimage(_u4592, _u4593, _u4594), _u4595) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4592, tc_fun(_u4593, tc_HOL_Obool)), _u4595), hAPP(hAPP(c_COMBC(_u4592, tc_fun(_u4593, tc_HOL_Obool), tc_fun(_u4593, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(_u4593, tc_fun(tc_fun(_u4593, tc_HOL_Obool), tc_fun(_u4593, tc_HOL_Obool)), _u4592), c_Set_Oinsert(_u4593)), _u4594)), c_Orderings_Obot__class_Obot(tc_fun(_u4593, tc_HOL_Obool))))) )).
% 39.89/40.13 cnf(matrix-2297, plain, ( ~c_Equiv__Relations_Oequiv(_u4596, _u4597, _u4598) | ~c_Equiv__Relations_Ocongruent(_u4596, tc_fun(_u4599, tc_HOL_Obool), _u4598, _u4600) | ~hBOOL(hAPP(hAPP(c_member(_u4596), _u4601), _u4597)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4596, tc_fun(_u4599, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u4596, _u4596, _u4598), hAPP(hAPP(c_Set_Oinsert(_u4596), _u4601), c_Orderings_Obot__class_Obot(tc_fun(_u4596, tc_HOL_Obool))))), _u4600) = hAPP(_u4600, _u4601)) )).
% 39.89/40.13 cnf(matrix-2298, plain, ( ~c_Equiv__Relations_Oequiv(_u4602, _u4603, _u4604) | ~c_Equiv__Relations_Oequiv(_u4605, _u4606, _u4607) | ~c_Equiv__Relations_Ocongruent2(_u4602, _u4605, tc_fun(_u4608, tc_HOL_Obool), _u4604, _u4607, _u4609) | ~hBOOL(hAPP(hAPP(c_member(_u4602), _u4610), _u4603)) | ~hBOOL(hAPP(hAPP(c_member(_u4605), _u4611), _u4606)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4602, tc_fun(_u4608, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u4602, _u4602, _u4604), hAPP(hAPP(c_Set_Oinsert(_u4602), _u4610), c_Orderings_Obot__class_Obot(tc_fun(_u4602, tc_HOL_Obool))))), hAPP(hAPP(c_COMBB(tc_fun(_u4605, tc_fun(_u4608, tc_HOL_Obool)), tc_fun(_u4608, tc_HOL_Obool), _u4602), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4605, tc_fun(_u4608, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u4605, _u4605, _u4607), hAPP(hAPP(c_Set_Oinsert(_u4605), _u4611), c_Orderings_Obot__class_Obot(tc_fun(_u4605, tc_HOL_Obool)))))), _u4609)) = hAPP(hAPP(_u4609, _u4610), _u4611)) )).
% 39.89/40.13 cnf(matrix-2299, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4612, tc_fun(_u4613, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u4612), _u4614), _u4615)), _u4616) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4613, tc_HOL_Obool)), hAPP(_u4616, _u4614)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4612, tc_fun(_u4613, tc_HOL_Obool)), _u4615), _u4616))) )).
% 39.89/40.13 cnf(matrix-2300, plain, ( ( _u4622 != c_Orderings_Obot__class_Obot(tc_fun(_u4624, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4626, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4624, tc_fun(_u4626, tc_HOL_Obool)), _u4622), _u4628)), _u4630) = _u4630) )).
% 39.89/40.13 cnf(matrix-2301, plain, ( ( _u4623 = c_Orderings_Obot__class_Obot(tc_fun(_u4625, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4627, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4625, tc_fun(_u4627, tc_HOL_Obool)), _u4623), _u4629)), _u4631) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4625, tc_fun(_u4627, tc_HOL_Obool)), _u4623), hAPP(hAPP(c_COMBC(_u4625, tc_fun(_u4627, tc_HOL_Obool), tc_fun(_u4627, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u4627, tc_HOL_Obool), tc_fun(tc_fun(_u4627, tc_HOL_Obool), tc_fun(_u4627, tc_HOL_Obool)), _u4625), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4627, tc_HOL_Obool))), _u4629)), _u4631))) )).
% 39.89/40.13 cnf(matrix-2302, plain, ( ( _u4637 != c_Orderings_Obot__class_Obot(tc_fun(_u4639, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4641, tc_HOL_Obool)), _u4643), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4639, tc_fun(_u4641, tc_HOL_Obool)), _u4637), _u4645)) = _u4643) )).
% 39.89/40.13 cnf(matrix-2303, plain, ( ( _u4638 = c_Orderings_Obot__class_Obot(tc_fun(_u4640, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4642, tc_HOL_Obool)), _u4644), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4640, tc_fun(_u4642, tc_HOL_Obool)), _u4638), _u4646)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4640, tc_fun(_u4642, tc_HOL_Obool)), _u4638), hAPP(hAPP(c_COMBB(tc_fun(_u4642, tc_HOL_Obool), tc_fun(_u4642, tc_HOL_Obool), _u4640), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4642, tc_HOL_Obool)), _u4644)), _u4646))) )).
% 39.89/40.13 cnf(matrix-2304, plain, ( ~c_Equiv__Relations_Oequiv(_u4647, _u4648, _u4649) | ~c_Equiv__Relations_Ocongruent2(_u4647, _u4650, _u4651, _u4649, _u4652, _u4653) | ~hBOOL(hAPP(hAPP(c_member(_u4647), _u4654), _u4648)) | c_Equiv__Relations_Ocongruent(_u4650, _u4651, _u4652, hAPP(_u4653, _u4654)) )).
% 39.89/40.13 cnf(matrix-2305, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4668), _u4657), _u4670)) | ~hBOOL(hAPP(hAPP(c_member(_u4666), _u4656), hAPP(_u4672, _u4657))) | hBOOL(hAPP(_u4674, _u4656)) | hBOOL(hAPP(hAPP(c_member(_u4666), skolem87(_u4674, _u4672, _u4670, _u4668, _u4666)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4668, tc_fun(_u4666, tc_HOL_Obool)), _u4670), _u4672))) )).
% 39.89/40.13 cnf(matrix-2306, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4668), _u4657), _u4670)) | ~hBOOL(hAPP(hAPP(c_member(_u4666), _u4656), hAPP(_u4672, _u4657))) | hBOOL(hAPP(_u4674, _u4656)) | ~hBOOL(hAPP(_u4674, skolem87(_u4674, _u4672, _u4670, _u4668, _u4666))) )).
% 39.89/40.13 cnf(matrix-2307, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4667), _u4660), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4669, tc_fun(_u4667, tc_HOL_Obool)), _u4671), _u4673))) | hBOOL(hAPP(_u4675, _u4660)) | hBOOL(hAPP(hAPP(c_member(_u4669), skolem88(_u4675, _u4673, _u4671, _u4669, _u4667)), _u4671)) )).
% 39.89/40.13 cnf(matrix-2308, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4667), _u4660), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4669, tc_fun(_u4667, tc_HOL_Obool)), _u4671), _u4673))) | hBOOL(hAPP(_u4675, _u4660)) | hBOOL(hAPP(hAPP(c_member(_u4667), skolem89(_u4675, _u4673, _u4671, _u4669, _u4667)), hAPP(_u4673, skolem88(_u4675, _u4673, _u4671, _u4669, _u4667)))) )).
% 39.89/40.13 cnf(matrix-2309, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4667), _u4660), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4669, tc_fun(_u4667, tc_HOL_Obool)), _u4671), _u4673))) | hBOOL(hAPP(_u4675, _u4660)) | ~hBOOL(hAPP(_u4675, skolem89(_u4675, _u4673, _u4671, _u4669, _u4667))) )).
% 39.89/40.13 cnf(matrix-2310, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u4676) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4677, _u4676), _u4678), hAPP(hAPP(c_COMBB(tc_fun(_u4679, _u4676), _u4676, _u4677), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4679, _u4676), _u4680)), _u4681)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4679, _u4676), _u4680), hAPP(hAPP(c_COMBB(tc_fun(_u4677, _u4676), _u4676, _u4679), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4677, _u4676), _u4678)), hAPP(c_COMBC(_u4677, _u4679, _u4676), _u4681)))) )).
% 39.89/40.13 cnf(matrix-2311, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4682, tc_fun(_u4683, tc_HOL_Obool)), _u4684), hAPP(hAPP(c_COMBC(_u4682, tc_fun(_u4685, tc_fun(_u4683, tc_HOL_Obool)), tc_fun(_u4683, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u4685, tc_HOL_Obool), tc_fun(tc_fun(_u4685, tc_fun(_u4683, tc_HOL_Obool)), tc_fun(_u4683, tc_HOL_Obool)), _u4682), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4685, tc_fun(_u4683, tc_HOL_Obool))), _u4686)), _u4687)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4685, tc_fun(_u4683, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4682, tc_fun(_u4685, tc_HOL_Obool)), _u4684), _u4686)), _u4687)) )).
% 39.89/40.13 cnf(matrix-2312, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4688, tc_fun(_u4689, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4690, tc_fun(_u4688, tc_HOL_Obool)), _u4691), _u4692)), _u4693) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4690, tc_fun(_u4689, tc_HOL_Obool)), _u4691), hAPP(hAPP(c_COMBC(_u4690, tc_fun(_u4688, tc_fun(_u4689, tc_HOL_Obool)), tc_fun(_u4689, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u4688, tc_HOL_Obool), tc_fun(tc_fun(_u4688, tc_fun(_u4689, tc_HOL_Obool)), tc_fun(_u4689, tc_HOL_Obool)), _u4690), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4688, tc_fun(_u4689, tc_HOL_Obool))), _u4692)), _u4693))) )).
% 39.89/40.13 cnf(matrix-2313, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4694, tc_fun(_u4695, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4696, tc_fun(_u4694, tc_HOL_Obool)), _u4697), _u4698)), _u4699) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4696, tc_fun(_u4695, tc_HOL_Obool)), _u4697), hAPP(hAPP(c_COMBC(_u4696, tc_fun(_u4694, tc_fun(_u4695, tc_HOL_Obool)), tc_fun(_u4695, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u4694, tc_HOL_Obool), tc_fun(tc_fun(_u4694, tc_fun(_u4695, tc_HOL_Obool)), tc_fun(_u4695, tc_HOL_Obool)), _u4696), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4694, tc_fun(_u4695, tc_HOL_Obool))), _u4698)), _u4699))) )).
% 39.89/40.13 cnf(matrix-2314, plain, ( ~c_Equiv__Relations_Oequiv(_u4700, _u4701, _u4702) | ~c_Equiv__Relations_Oequiv(_u4703, _u4704, _u4705) | ~c_Equiv__Relations_Ocongruent2(_u4700, _u4703, tc_fun(_u4706, tc_HOL_Obool), _u4702, _u4705, _u4707) | ~hBOOL(hAPP(hAPP(c_member(_u4703), _u4708), _u4704)) | c_Equiv__Relations_Ocongruent(_u4700, tc_fun(_u4706, tc_HOL_Obool), _u4702, hAPP(hAPP(c_COMBB(tc_fun(_u4703, tc_fun(_u4706, tc_HOL_Obool)), tc_fun(_u4706, tc_HOL_Obool), _u4700), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4703, tc_fun(_u4706, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u4703, _u4703, _u4705), hAPP(hAPP(c_Set_Oinsert(_u4703), _u4708), c_Orderings_Obot__class_Obot(tc_fun(_u4703, tc_HOL_Obool)))))), _u4707)) )).
% 39.89/40.13 cnf(matrix-2315, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u4711) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4711), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4712, _u4711), _u4713), _u4714)), _u4715)) | ~hBOOL(hAPP(hAPP(c_member(_u4712), _u4709), _u4713)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4711), hAPP(_u4714, _u4709)), _u4715)) )).
% 39.89/40.13 cnf(matrix-2316, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u4711) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4711), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4712, _u4711), _u4713), _u4714)), _u4715)) | hBOOL(hAPP(hAPP(c_member(_u4712), skolem90(_u4715, _u4714, _u4713, _u4712, _u4711)), _u4713)) )).
% 39.89/40.13 cnf(matrix-2317, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u4711) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4711), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4712, _u4711), _u4713), _u4714)), _u4715)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4711), hAPP(_u4714, skolem90(_u4715, _u4714, _u4713, _u4712, _u4711))), _u4715)) )).
% 39.89/40.13 cnf(matrix-2318, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u4718) | ~class_Orderings_Olinorder(_u4718) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4718), _u4719), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4720, _u4718), _u4721), _u4722))) | hBOOL(hAPP(hAPP(c_member(_u4720), skolem91(_u4722, _u4721, _u4720, _u4719, _u4718)), _u4721)) )).
% 39.89/40.13 cnf(matrix-2319, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u4718) | ~class_Orderings_Olinorder(_u4718) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4718), _u4719), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4720, _u4718), _u4721), _u4722))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4718), _u4719), hAPP(_u4722, skolem91(_u4722, _u4721, _u4720, _u4719, _u4718)))) )).
% 39.89/40.13 cnf(matrix-2320, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u4718) | ~class_Orderings_Olinorder(_u4718) | ~hBOOL(hAPP(hAPP(c_member(_u4720), _u4717), _u4721)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4718), _u4719), hAPP(_u4722, _u4717))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4718), _u4719), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4720, _u4718), _u4721), _u4722))) )).
% 39.89/40.13 cnf(matrix-2321, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4730), _u4732), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4734, tc_fun(_u4730, tc_HOL_Obool)), _u4736), _u4738))) | hBOOL(hAPP(hAPP(c_member(_u4734), skolem92(_u4738, _u4736, _u4734, _u4732, _u4730)), _u4736)) )).
% 39.89/40.13 cnf(matrix-2322, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4730), _u4732), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4734, tc_fun(_u4730, tc_HOL_Obool)), _u4736), _u4738))) | hBOOL(hAPP(hAPP(c_member(_u4730), _u4732), hAPP(_u4738, skolem92(_u4738, _u4736, _u4734, _u4732, _u4730)))) )).
% 39.89/40.13 cnf(matrix-2323, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4735), _u4724), _u4737)) | ~hBOOL(hAPP(hAPP(c_member(_u4731), _u4733), hAPP(_u4739, _u4724))) | hBOOL(hAPP(hAPP(c_member(_u4731), _u4733), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4735, tc_fun(_u4731, tc_HOL_Obool)), _u4737), _u4739))) )).
% 39.89/40.13 cnf(matrix-2324, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u4740) | ( _u4741 = c_Orderings_Obot__class_Obot(tc_fun(_u4742, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4742, _u4740), _u4741), hAPP(c_COMBK(_u4740, _u4742), _u4743)) = _u4743) )).
% 39.89/40.13 cnf(matrix-2325, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4750, tc_fun(_u4752, tc_HOL_Obool)), _u4754), _u4756) != c_Orderings_Obot__class_Obot(tc_fun(_u4752, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u4750), _u4744), _u4754)) | ( hAPP(_u4756, _u4744) = c_Orderings_Obot__class_Obot(tc_fun(_u4752, tc_HOL_Obool))) )).
% 39.89/40.13 cnf(matrix-2326, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4751, tc_fun(_u4753, tc_HOL_Obool)), _u4755), _u4757) = c_Orderings_Obot__class_Obot(tc_fun(_u4753, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u4751), skolem93(_u4757, _u4755, _u4753, _u4751)), _u4755)) )).
% 39.89/40.13 cnf(matrix-2327, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4751, tc_fun(_u4753, tc_HOL_Obool)), _u4755), _u4757) = c_Orderings_Obot__class_Obot(tc_fun(_u4753, tc_HOL_Obool))) | ( hAPP(_u4757, skolem93(_u4757, _u4755, _u4753, _u4751)) != c_Orderings_Obot__class_Obot(tc_fun(_u4753, tc_HOL_Obool))) )).
% 39.89/40.13 cnf(matrix-2328, plain, ( ( _u4762 != c_Orderings_Obot__class_Obot(tc_fun(_u4764, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4764, tc_fun(_u4766, tc_HOL_Obool)), _u4762), hAPP(c_COMBK(tc_fun(_u4766, tc_HOL_Obool), _u4764), _u4768)) = c_Orderings_Obot__class_Obot(tc_fun(_u4766, tc_HOL_Obool))) )).
% 39.89/40.13 cnf(matrix-2329, plain, ( ( _u4763 = c_Orderings_Obot__class_Obot(tc_fun(_u4765, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4765, tc_fun(_u4767, tc_HOL_Obool)), _u4763), hAPP(c_COMBK(tc_fun(_u4767, tc_HOL_Obool), _u4765), _u4769)) = _u4769) )).
% 39.89/40.13 cnf(matrix-2330, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4770, tc_fun(_u4771, tc_HOL_Obool)), _u4772), hAPP(c_COMBK(tc_fun(_u4771, tc_HOL_Obool), _u4770), c_Orderings_Obot__class_Obot(tc_fun(_u4771, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u4771, tc_HOL_Obool))) )).
% 39.89/40.13 cnf(matrix-2331, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u4779, tc_HOL_Obool)) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4781, tc_fun(_u4779, tc_HOL_Obool)), _u4783), _u4785)) | ~hBOOL(hAPP(hAPP(c_member(_u4781), _u4773), _u4783)) | ( hAPP(_u4785, _u4773) = c_Orderings_Obot__class_Obot(tc_fun(_u4779, tc_HOL_Obool))) )).
% 39.89/40.13 cnf(matrix-2332, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u4780, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4782, tc_fun(_u4780, tc_HOL_Obool)), _u4784), _u4786)) | hBOOL(hAPP(hAPP(c_member(_u4782), skolem94(_u4786, _u4784, _u4782, _u4780)), _u4784)) )).
% 39.89/40.13 cnf(matrix-2333, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u4780, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4782, tc_fun(_u4780, tc_HOL_Obool)), _u4784), _u4786)) | ( hAPP(_u4786, skolem94(_u4786, _u4784, _u4782, _u4780)) != c_Orderings_Obot__class_Obot(tc_fun(_u4780, tc_HOL_Obool))) )).
% 39.89/40.13 cnf(matrix-2334, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4794, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4796, tc_fun(_u4794, tc_HOL_Obool)), _u4798), _u4800)), _u4802)) | ~hBOOL(hAPP(hAPP(c_member(_u4796), _u4787), _u4798)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4794, tc_HOL_Obool)), hAPP(_u4800, _u4787)), _u4802)) )).
% 39.89/40.13 cnf(matrix-2335, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4795, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4797, tc_fun(_u4795, tc_HOL_Obool)), _u4799), _u4801)), _u4803)) | hBOOL(hAPP(hAPP(c_member(_u4797), skolem95(_u4803, _u4801, _u4799, _u4797, _u4795)), _u4799)) )).
% 39.89/40.13 cnf(matrix-2336, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4795, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4797, tc_fun(_u4795, tc_HOL_Obool)), _u4799), _u4801)), _u4803)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4795, tc_HOL_Obool)), hAPP(_u4801, skolem95(_u4803, _u4801, _u4799, _u4797, _u4795))), _u4803)) )).
% 39.89/40.13 cnf(matrix-2337, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4804, tc_fun(_u4805, tc_HOL_Obool)), _u4806), hAPP(hAPP(c_COMBB(_u4807, tc_fun(_u4805, tc_HOL_Obool), _u4804), _u4808), _u4809)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4807, tc_fun(_u4805, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u4804, _u4807, _u4809), _u4806)), _u4808)) )).
% 39.89/40.13 cnf(matrix-2338, plain, ( ( hAPP(c_Set_Oimage(_u4810, _u4811, _u4812), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4813, tc_fun(_u4810, tc_HOL_Obool)), _u4814), _u4815)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4813, tc_fun(_u4811, tc_HOL_Obool)), _u4814), hAPP(hAPP(c_COMBB(tc_fun(_u4810, tc_HOL_Obool), tc_fun(_u4811, tc_HOL_Obool), _u4813), c_Set_Oimage(_u4810, _u4811, _u4812)), _u4815))) )).
% 39.89/40.13 cnf(matrix-2339, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4816, tc_fun(_u4817, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u4818, _u4816, _u4819), _u4820)), _u4821) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4818, tc_fun(_u4817, tc_HOL_Obool)), _u4820), hAPP(hAPP(c_COMBB(_u4816, tc_fun(_u4817, tc_HOL_Obool), _u4818), _u4821), _u4819))) )).
% 39.89/40.13 cnf(matrix-2340, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4822, tc_fun(_u4823, tc_HOL_Obool)), _u4824), hAPP(hAPP(c_COMBS(_u4822, tc_fun(_u4823, tc_HOL_Obool), tc_fun(_u4823, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u4823, tc_HOL_Obool), tc_fun(tc_fun(_u4823, tc_HOL_Obool), tc_fun(_u4823, tc_HOL_Obool)), _u4822), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4823, tc_HOL_Obool))), _u4825)), _u4826)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4823, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4822, tc_fun(_u4823, tc_HOL_Obool)), _u4824), _u4825)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4822, tc_fun(_u4823, tc_HOL_Obool)), _u4824), _u4826))) )).
% 39.89/40.13 cnf(matrix-2341, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4827, tc_fun(_u4828, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4827, tc_HOL_Obool)), _u4829), _u4830)), _u4831) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4828, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4827, tc_fun(_u4828, tc_HOL_Obool)), _u4829), _u4831)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4827, tc_fun(_u4828, tc_HOL_Obool)), _u4830), _u4831))) )).
% 39.89/40.13 cnf(matrix-2342, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4832, tc_fun(_u4833, tc_HOL_Obool)), _u4834), hAPP(hAPP(c_COMBB(tc_fun(_u4833, tc_HOL_Obool), tc_fun(_u4833, tc_HOL_Obool), _u4832), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4833, tc_HOL_Obool)), _u4835)), _u4836)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4833, tc_HOL_Obool)), _u4835), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4832, tc_fun(_u4833, tc_HOL_Obool)), _u4834), _u4836))) )).
% 39.89/40.13 cnf(matrix-2343, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4837, tc_fun(_u4838, tc_HOL_Obool)), _u4839), hAPP(hAPP(c_COMBC(_u4837, tc_fun(_u4838, tc_HOL_Obool), tc_fun(_u4838, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u4838, tc_HOL_Obool), tc_fun(tc_fun(_u4838, tc_HOL_Obool), tc_fun(_u4838, tc_HOL_Obool)), _u4837), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4838, tc_HOL_Obool))), _u4840)), _u4841)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4838, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4837, tc_fun(_u4838, tc_HOL_Obool)), _u4839), _u4840)), _u4841)) )).
% 39.89/40.13 cnf(matrix-2344, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4842, tc_HOL_Obool)), _u4843), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4844, tc_fun(_u4842, tc_HOL_Obool)), _u4845), _u4846)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4844, tc_fun(_u4842, tc_HOL_Obool)), _u4845), hAPP(hAPP(c_COMBB(tc_fun(_u4842, tc_HOL_Obool), tc_fun(_u4842, tc_HOL_Obool), _u4844), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4842, tc_HOL_Obool)), _u4843)), _u4846))) )).
% 39.89/40.13 cnf(matrix-2345, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4847, tc_HOL_Obool)), _u4848), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4849, tc_fun(_u4847, tc_HOL_Obool)), _u4850), _u4851)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4849, tc_fun(_u4847, tc_HOL_Obool)), _u4850), hAPP(hAPP(c_COMBB(tc_fun(_u4847, tc_HOL_Obool), tc_fun(_u4847, tc_HOL_Obool), _u4849), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4847, tc_HOL_Obool)), _u4848)), _u4851))) )).
% 39.89/40.13 cnf(matrix-2346, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4852, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4853, tc_fun(_u4852, tc_HOL_Obool)), _u4854), _u4855)), _u4856) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4853, tc_fun(_u4852, tc_HOL_Obool)), _u4854), hAPP(hAPP(c_COMBC(_u4853, tc_fun(_u4852, tc_HOL_Obool), tc_fun(_u4852, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u4852, tc_HOL_Obool), tc_fun(tc_fun(_u4852, tc_HOL_Obool), tc_fun(_u4852, tc_HOL_Obool)), _u4853), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4852, tc_HOL_Obool))), _u4855)), _u4856))) )).
% 39.89/40.13 cnf(matrix-2347, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4857, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4858, tc_fun(_u4857, tc_HOL_Obool)), _u4859), _u4860)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4861, tc_fun(_u4857, tc_HOL_Obool)), _u4862), _u4863)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4858, tc_fun(_u4857, tc_HOL_Obool)), _u4859), hAPP(hAPP(c_COMBB(tc_fun(_u4861, tc_fun(_u4857, tc_HOL_Obool)), tc_fun(_u4857, tc_HOL_Obool), _u4858), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4861, tc_fun(_u4857, tc_HOL_Obool)), _u4862)), hAPP(hAPP(c_COMBC(_u4858, tc_fun(_u4861, tc_fun(_u4857, tc_HOL_Obool)), tc_fun(_u4861, tc_fun(_u4857, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u4857, tc_HOL_Obool), tc_fun(_u4857, tc_HOL_Obool)), tc_fun(tc_fun(_u4861, tc_fun(_u4857, tc_HOL_Obool)), tc_fun(_u4861, tc_fun(_u4857, tc_HOL_Obool))), _u4858), c_COMBB(tc_fun(_u4857, tc_HOL_Obool), tc_fun(_u4857, tc_HOL_Obool), _u4861)), hAPP(hAPP(c_COMBB(tc_fun(_u4857, tc_HOL_Obool), tc_fun(tc_fun(_u4857, tc_HOL_Obool), tc_fun(_u4857, tc_HOL_Obool)), _u4858), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4857, tc_HOL_Obool))), _u4860))), _u4863)))) )).
% 39.89/40.13 cnf(matrix-2348, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u4864) | ( hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4865, tc_fun(_u4866, _u4864)), _u4867), _u4868), _u4869) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4865, _u4864), _u4867), hAPP(hAPP(c_COMBC(_u4865, _u4866, _u4864), _u4868), _u4869))) )).
% 39.89/40.13 cnf(matrix-2349, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4870, tc_fun(_u4871, tc_HOL_Obool)), _u4872), hAPP(hAPP(c_COMBC(_u4870, tc_fun(_u4871, tc_HOL_Obool), tc_fun(_u4871, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u4871, tc_HOL_Obool), tc_fun(tc_fun(_u4871, tc_HOL_Obool), tc_fun(_u4871, tc_HOL_Obool)), _u4870), c_Groups_Ominus__class_Ominus(tc_fun(_u4871, tc_HOL_Obool))), _u4873)), _u4874)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4871, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4870, tc_fun(_u4871, tc_HOL_Obool)), _u4872), _u4873)), _u4874)) )).
% 39.89/40.13 cnf(matrix-2350, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4875, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4876, tc_fun(_u4875, tc_HOL_Obool)), _u4877), _u4878)), _u4879) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4876, tc_fun(_u4875, tc_HOL_Obool)), _u4877), hAPP(hAPP(c_COMBC(_u4876, tc_fun(_u4875, tc_HOL_Obool), tc_fun(_u4875, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u4875, tc_HOL_Obool), tc_fun(tc_fun(_u4875, tc_HOL_Obool), tc_fun(_u4875, tc_HOL_Obool)), _u4876), c_Groups_Ominus__class_Ominus(tc_fun(_u4875, tc_HOL_Obool))), _u4878)), _u4879))) )).
% 39.89/40.13 cnf(matrix-2351, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u4880) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4881, tc_HOL_Obool)), _u4882), _u4883)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4880), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4881, _u4880), _u4882), _u4884)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4881, _u4880), _u4883), _u4884))) )).
% 39.89/40.13 cnf(matrix-2352, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u4885) | ~hBOOL(hAPP(hAPP(c_member(_u4886), _u4887), _u4888)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4885), hAPP(_u4889, _u4887)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4886, _u4885), _u4888), _u4889))) )).
% 39.89/40.13 cnf(matrix-2353, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4890), _u4891), _u4892)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4890, tc_fun(_u4893, tc_HOL_Obool)), _u4892), hAPP(hAPP(c_COMBB(tc_fun(_u4893, tc_HOL_Obool), tc_fun(_u4893, tc_HOL_Obool), _u4890), hAPP(c_Set_Oinsert(_u4893), _u4894)), _u4895)) = hAPP(hAPP(c_Set_Oinsert(_u4893), _u4894), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4890, tc_fun(_u4893, tc_HOL_Obool)), _u4892), _u4895))) )).
% 39.89/40.13 cnf(matrix-2354, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4896), _u4897), _u4898)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4899, tc_HOL_Obool)), hAPP(_u4900, _u4897)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4896, tc_fun(_u4899, tc_HOL_Obool)), _u4898), _u4900))) )).
% 39.89/40.13 cnf(matrix-2355, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4901), _u4902), _u4903)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4904, tc_HOL_Obool)), hAPP(_u4905, _u4902)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4901, tc_fun(_u4904, tc_HOL_Obool)), _u4903), _u4905)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4901, tc_fun(_u4904, tc_HOL_Obool)), _u4903), _u4905)) )).
% 39.89/40.13 cnf(matrix-2356, plain, ( ( _u4911 != c_Orderings_Obot__class_Obot(tc_fun(_u4913, tc_HOL_Obool))) | ( hAPP(hAPP(c_Set_Oinsert(_u4915), _u4917), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4913, tc_fun(_u4915, tc_HOL_Obool)), _u4911), _u4919)) = hAPP(hAPP(c_Set_Oinsert(_u4915), _u4917), c_Orderings_Obot__class_Obot(tc_fun(_u4915, tc_HOL_Obool)))) )).
% 39.89/40.13 cnf(matrix-2357, plain, ( ( _u4912 = c_Orderings_Obot__class_Obot(tc_fun(_u4914, tc_HOL_Obool))) | ( hAPP(hAPP(c_Set_Oinsert(_u4916), _u4918), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4914, tc_fun(_u4916, tc_HOL_Obool)), _u4912), _u4920)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4914, tc_fun(_u4916, tc_HOL_Obool)), _u4912), hAPP(hAPP(c_COMBB(tc_fun(_u4916, tc_HOL_Obool), tc_fun(_u4916, tc_HOL_Obool), _u4914), hAPP(c_Set_Oinsert(_u4916), _u4918)), _u4920))) )).
% 39.89/40.13 cnf(matrix-2358, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4921, tc_fun(_u4921, tc_HOL_Obool)), _u4922), hAPP(hAPP(c_COMBC(_u4921, tc_fun(_u4921, tc_HOL_Obool), tc_fun(_u4921, tc_HOL_Obool)), c_Set_Oinsert(_u4921)), c_Orderings_Obot__class_Obot(tc_fun(_u4921, tc_HOL_Obool)))) = _u4922) )).
% 39.89/40.13 cnf(matrix-2359, plain, ( ( _u4928 != c_Orderings_Obot__class_Obot(tc_fun(_u4930, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4930, tc_fun(_u4932, tc_HOL_Obool)), _u4928), hAPP(hAPP(c_COMBB(tc_fun(_u4932, tc_HOL_Obool), tc_fun(_u4932, tc_HOL_Obool), _u4930), hAPP(c_Set_Oinsert(_u4932), _u4934)), _u4936)) = c_Orderings_Obot__class_Obot(tc_fun(_u4932, tc_HOL_Obool))) )).
% 39.89/40.13 cnf(matrix-2360, plain, ( ( _u4929 = c_Orderings_Obot__class_Obot(tc_fun(_u4931, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4931, tc_fun(_u4933, tc_HOL_Obool)), _u4929), hAPP(hAPP(c_COMBB(tc_fun(_u4933, tc_HOL_Obool), tc_fun(_u4933, tc_HOL_Obool), _u4931), hAPP(c_Set_Oinsert(_u4933), _u4935)), _u4937)) = hAPP(hAPP(c_Set_Oinsert(_u4933), _u4935), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4931, tc_fun(_u4933, tc_HOL_Obool)), _u4929), _u4937))) )).
% 39.89/40.13 cnf(matrix-2361, plain, ( ( _u4943 != c_Orderings_Obot__class_Obot(tc_fun(_u4945, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4945, tc_fun(_u4947, tc_HOL_Obool)), _u4943), hAPP(hAPP(c_COMBB(tc_fun(_u4947, tc_HOL_Obool), tc_fun(_u4947, tc_HOL_Obool), _u4945), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4947, tc_HOL_Obool)), _u4949)), _u4951)) = c_Orderings_Obot__class_Obot(tc_fun(_u4947, tc_HOL_Obool))) )).
% 39.89/40.13 cnf(matrix-2362, plain, ( ( _u4944 = c_Orderings_Obot__class_Obot(tc_fun(_u4946, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4946, tc_fun(_u4948, tc_HOL_Obool)), _u4944), hAPP(hAPP(c_COMBB(tc_fun(_u4948, tc_HOL_Obool), tc_fun(_u4948, tc_HOL_Obool), _u4946), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4948, tc_HOL_Obool)), _u4950)), _u4952)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4948, tc_HOL_Obool)), _u4950), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4946, tc_fun(_u4948, tc_HOL_Obool)), _u4944), _u4952))) )).
% 39.89/40.13 cnf(matrix-2363, plain, ( ( _u4958 != c_Orderings_Obot__class_Obot(tc_fun(_u4960, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4960, tc_fun(_u4962, tc_HOL_Obool)), _u4958), hAPP(hAPP(c_COMBC(_u4960, tc_fun(_u4962, tc_HOL_Obool), tc_fun(_u4962, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u4962, tc_HOL_Obool), tc_fun(tc_fun(_u4962, tc_HOL_Obool), tc_fun(_u4962, tc_HOL_Obool)), _u4960), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4962, tc_HOL_Obool))), _u4964)), _u4966)) = c_Orderings_Obot__class_Obot(tc_fun(_u4962, tc_HOL_Obool))) )).
% 39.89/40.13 cnf(matrix-2364, plain, ( ( _u4959 = c_Orderings_Obot__class_Obot(tc_fun(_u4961, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4961, tc_fun(_u4963, tc_HOL_Obool)), _u4959), hAPP(hAPP(c_COMBC(_u4961, tc_fun(_u4963, tc_HOL_Obool), tc_fun(_u4963, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u4963, tc_HOL_Obool), tc_fun(tc_fun(_u4963, tc_HOL_Obool), tc_fun(_u4963, tc_HOL_Obool)), _u4961), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4963, tc_HOL_Obool))), _u4965)), _u4967)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4963, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4961, tc_fun(_u4963, tc_HOL_Obool)), _u4959), _u4965)), _u4967)) )).
% 39.89/40.13 cnf(matrix-2365, plain, ( ~c_Equiv__Relations_Oequiv(_u4970, _u4971, _u4972) | ~c_Equiv__Relations_Oequiv(_u4973, _u4974, _u4975) | ~c_Equiv__Relations_Ocongruent2(_u4970, _u4973, tc_fun(_u4976, tc_HOL_Obool), _u4972, _u4975, _u4977) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u4970, tc_HOL_Obool)), _u4978), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u4970), _u4971), _u4972))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u4973, tc_HOL_Obool)), _u4979), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u4973), _u4974), _u4975))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u4976, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4970, tc_fun(_u4976, tc_HOL_Obool)), _u4978), hAPP(hAPP(c_COMBB(tc_fun(_u4973, tc_fun(_u4976, tc_HOL_Obool)), tc_fun(_u4976, tc_HOL_Obool), _u4970), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4973, tc_fun(_u4976, tc_HOL_Obool)), _u4979)), _u4977))), _u4980)) | hBOOL(hAPP(hAPP(c_member(_u4970), skolem96(_u4980, _u4979, _u4978, _u4977, _u4976, _u4975, _u4974, _u4973, _u4972, _u4971, _u4970)), _u4971)) )).
% 39.89/40.13 cnf(matrix-2366, plain, ( ~c_Equiv__Relations_Oequiv(_u4970, _u4971, _u4972) | ~c_Equiv__Relations_Oequiv(_u4973, _u4974, _u4975) | ~c_Equiv__Relations_Ocongruent2(_u4970, _u4973, tc_fun(_u4976, tc_HOL_Obool), _u4972, _u4975, _u4977) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u4970, tc_HOL_Obool)), _u4978), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u4970), _u4971), _u4972))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u4973, tc_HOL_Obool)), _u4979), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u4973), _u4974), _u4975))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u4976, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4970, tc_fun(_u4976, tc_HOL_Obool)), _u4978), hAPP(hAPP(c_COMBB(tc_fun(_u4973, tc_fun(_u4976, tc_HOL_Obool)), tc_fun(_u4976, tc_HOL_Obool), _u4970), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4973, tc_fun(_u4976, tc_HOL_Obool)), _u4979)), _u4977))), _u4980)) | hBOOL(hAPP(hAPP(c_member(_u4973), skolem97(_u4980, _u4979, _u4978, _u4977, _u4976, _u4975, _u4974, _u4973, _u4972, _u4971, _u4970)), _u4974)) )).
% 39.89/40.13 cnf(matrix-2367, plain, ( ~c_Equiv__Relations_Oequiv(_u4970, _u4971, _u4972) | ~c_Equiv__Relations_Oequiv(_u4973, _u4974, _u4975) | ~c_Equiv__Relations_Ocongruent2(_u4970, _u4973, tc_fun(_u4976, tc_HOL_Obool), _u4972, _u4975, _u4977) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u4970, tc_HOL_Obool)), _u4978), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u4970), _u4971), _u4972))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u4973, tc_HOL_Obool)), _u4979), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u4973), _u4974), _u4975))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u4976, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4970, tc_fun(_u4976, tc_HOL_Obool)), _u4978), hAPP(hAPP(c_COMBB(tc_fun(_u4973, tc_fun(_u4976, tc_HOL_Obool)), tc_fun(_u4976, tc_HOL_Obool), _u4970), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4973, tc_fun(_u4976, tc_HOL_Obool)), _u4979)), _u4977))), _u4980)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u4976, tc_HOL_Obool)), hAPP(hAPP(_u4977, skolem96(_u4980, _u4979, _u4978, _u4977, _u4976, _u4975, _u4974, _u4973, _u4972, _u4971, _u4970)), skolem97(_u4980, _u4979, _u4978, _u4977, _u4976, _u4975, _u4974, _u4973, _u4972, _u4971, _u4970))), _u4980)) )).
% 39.89/40.13 cnf(matrix-2368, plain, ( ~c_Equiv__Relations_Oequiv(_u4982, _u4983, _u4984) | ~c_Equiv__Relations_Ocongruent(_u4982, tc_fun(_u4985, tc_HOL_Obool), _u4984, _u4986) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u4982, tc_HOL_Obool)), _u4987), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u4982), _u4983), _u4984))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u4985, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4982, tc_fun(_u4985, tc_HOL_Obool)), _u4987), _u4986)), _u4988)) | hBOOL(hAPP(hAPP(c_member(_u4982), skolem98(_u4988, _u4987, _u4986, _u4985, _u4984, _u4983, _u4982)), _u4983)) )).
% 39.89/40.13 cnf(matrix-2369, plain, ( ~c_Equiv__Relations_Oequiv(_u4982, _u4983, _u4984) | ~c_Equiv__Relations_Ocongruent(_u4982, tc_fun(_u4985, tc_HOL_Obool), _u4984, _u4986) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u4982, tc_HOL_Obool)), _u4987), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u4982), _u4983), _u4984))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u4985, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4982, tc_fun(_u4985, tc_HOL_Obool)), _u4987), _u4986)), _u4988)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u4985, tc_HOL_Obool)), hAPP(_u4986, skolem98(_u4988, _u4987, _u4986, _u4985, _u4984, _u4983, _u4982))), _u4988)) )).
% 39.89/40.13 cnf(matrix-2370, plain, ( ~class_Lattices_Olattice(_u4991) | ( hAPP(_u4992, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4991), skolem99(_u4993, _u4992, _u4991)), skolem100(_u4993, _u4992, _u4991))) != hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4991), hAPP(_u4992, skolem99(_u4993, _u4992, _u4991))), hAPP(_u4992, skolem100(_u4993, _u4992, _u4991)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4991), _u4993)) | ( _u4993 = c_Orderings_Obot__class_Obot(tc_fun(_u4991, tc_HOL_Obool))) | ( hAPP(_u4992, c_Big__Operators_Olattice__class_OSup__fin(_u4991, _u4993)) = c_Big__Operators_Olattice__class_OSup__fin(_u4991, hAPP(c_Set_Oimage(_u4991, _u4991, _u4992), _u4993))) )).
% 39.89/40.13 cnf(matrix-2371, plain, ( ~c_Equiv__Relations_Oequiv(_u4994, _u4995, _u4996) | ~hBOOL(hAPP(hAPP(c_member(_u4994), _u4997), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4994, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u4994, _u4994, _u4996), hAPP(hAPP(c_Set_Oinsert(_u4994), _u4998), c_Orderings_Obot__class_Obot(tc_fun(_u4994, tc_HOL_Obool))))), hAPP(c_Relation_OImage(_u4994, _u4994, _u4996), hAPP(hAPP(c_Set_Oinsert(_u4994), _u4999), c_Orderings_Obot__class_Obot(tc_fun(_u4994, tc_HOL_Obool))))))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u4994, _u4994)), hAPP(hAPP(c_Product__Type_OPair(_u4994, _u4994), _u4998), _u4999)), _u4996)) )).
% 39.89/40.13 cnf(matrix-2372, plain, ( ~c_Equiv__Relations_Oequiv(_u5000, _u5001, _u5002) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5000, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u5000, _u5000, _u5002), hAPP(hAPP(c_Set_Oinsert(_u5000), _u5003), c_Orderings_Obot__class_Obot(tc_fun(_u5000, tc_HOL_Obool))))), hAPP(c_Relation_OImage(_u5000, _u5000, _u5002), hAPP(hAPP(c_Set_Oinsert(_u5000), _u5004), c_Orderings_Obot__class_Obot(tc_fun(_u5000, tc_HOL_Obool)))))) | ~hBOOL(hAPP(hAPP(c_member(_u5000), _u5003), _u5001)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u5000, _u5000)), hAPP(hAPP(c_Product__Type_OPair(_u5000, _u5000), _u5004), _u5003)), _u5002)) )).
% 39.89/40.13 cnf(matrix-2373, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5007), _u5008)) | ~hBOOL(hAPP(_u5009, _u5008)) | hBOOL(hAPP(_u5009, c_Orderings_Obot__class_Obot(tc_fun(_u5007, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u5007), skolem102(_u5009, _u5008, _u5007))) )).
% 39.89/40.13 cnf(matrix-2374, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5007), _u5008)) | ~hBOOL(hAPP(_u5009, _u5008)) | hBOOL(hAPP(_u5009, c_Orderings_Obot__class_Obot(tc_fun(_u5007, tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(c_member(_u5007), skolem101(_u5009, _u5008, _u5007)), skolem102(_u5009, _u5008, _u5007))) )).
% 39.89/40.13 cnf(matrix-2375, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5007), _u5008)) | ~hBOOL(hAPP(_u5009, _u5008)) | hBOOL(hAPP(_u5009, c_Orderings_Obot__class_Obot(tc_fun(_u5007, tc_HOL_Obool)))) | hBOOL(hAPP(_u5009, skolem102(_u5009, _u5008, _u5007))) )).
% 39.89/40.13 cnf(matrix-2376, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5007), _u5008)) | ~hBOOL(hAPP(_u5009, _u5008)) | hBOOL(hAPP(_u5009, c_Orderings_Obot__class_Obot(tc_fun(_u5007, tc_HOL_Obool)))) | ~hBOOL(hAPP(_u5009, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5007, tc_HOL_Obool)), skolem102(_u5009, _u5008, _u5007)), hAPP(hAPP(c_Set_Oinsert(_u5007), skolem101(_u5009, _u5008, _u5007)), c_Orderings_Obot__class_Obot(tc_fun(_u5007, tc_HOL_Obool)))))) )).
% 39.89/40.13 cnf(matrix-2377, plain, ( ~c_Finite__Set_Ofolding__one__idem(_u5010, _u5011, _u5012) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5010), _u5013)) | ( _u5013 = c_Orderings_Obot__class_Obot(tc_fun(_u5010, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5010), _u5014)) | ( _u5014 = c_Orderings_Obot__class_Obot(tc_fun(_u5010, tc_HOL_Obool))) | ( hAPP(_u5012, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5010, tc_HOL_Obool)), _u5013), _u5014)) = hAPP(hAPP(_u5011, hAPP(_u5012, _u5013)), hAPP(_u5012, _u5014))) )).
% 39.89/40.13 cnf(matrix-2378, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5017), _u5018)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5017, tc_HOL_Obool)), _u5018), _u5019)) | ~hBOOL(hAPP(_u5020, c_Orderings_Obot__class_Obot(tc_fun(_u5017, tc_HOL_Obool)))) | hBOOL(hAPP(_u5020, _u5018)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u5017), skolem104(_u5020, _u5019, _u5018, _u5017))) )).
% 39.89/40.13 cnf(matrix-2379, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5017), _u5018)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5017, tc_HOL_Obool)), _u5018), _u5019)) | ~hBOOL(hAPP(_u5020, c_Orderings_Obot__class_Obot(tc_fun(_u5017, tc_HOL_Obool)))) | hBOOL(hAPP(_u5020, _u5018)) | hBOOL(hAPP(hAPP(c_member(_u5017), skolem103(_u5020, _u5019, _u5018, _u5017)), _u5019)) )).
% 39.89/40.13 cnf(matrix-2380, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5017), _u5018)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5017, tc_HOL_Obool)), _u5018), _u5019)) | ~hBOOL(hAPP(_u5020, c_Orderings_Obot__class_Obot(tc_fun(_u5017, tc_HOL_Obool)))) | hBOOL(hAPP(_u5020, _u5018)) | ~hBOOL(hAPP(hAPP(c_member(_u5017), skolem103(_u5020, _u5019, _u5018, _u5017)), skolem104(_u5020, _u5019, _u5018, _u5017))) )).
% 39.89/40.13 cnf(matrix-2381, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5017), _u5018)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5017, tc_HOL_Obool)), _u5018), _u5019)) | ~hBOOL(hAPP(_u5020, c_Orderings_Obot__class_Obot(tc_fun(_u5017, tc_HOL_Obool)))) | hBOOL(hAPP(_u5020, _u5018)) | hBOOL(hAPP(_u5020, skolem104(_u5020, _u5019, _u5018, _u5017))) )).
% 39.89/40.13 cnf(matrix-2382, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5017), _u5018)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5017, tc_HOL_Obool)), _u5018), _u5019)) | ~hBOOL(hAPP(_u5020, c_Orderings_Obot__class_Obot(tc_fun(_u5017, tc_HOL_Obool)))) | hBOOL(hAPP(_u5020, _u5018)) | ~hBOOL(hAPP(_u5020, hAPP(hAPP(c_Set_Oinsert(_u5017), skolem103(_u5020, _u5019, _u5018, _u5017)), skolem104(_u5020, _u5019, _u5018, _u5017)))) )).
% 39.89/40.13 cnf(matrix-2383, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u5021), _u5022), _u5023)) | ~hBOOL(hAPP(hAPP(hAPP(_u5024, _u5022), _u5025), _u5026)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5021, tc_fun(_u5027, tc_fun(_u5028, tc_HOL_Obool))), _u5023), _u5024), _u5025), _u5026)) )).
% 39.89/40.13 cnf(matrix-2384, plain, ( ( hAPP(hAPP(_u5030, _u5032), _u5032) = _u5032) | ~c_Finite__Set_Ofolding__one__idem(_u5029, _u5030, _u5031) )).
% 39.89/40.13 cnf(matrix-2385, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5039, tc_fun(_u5041, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u5039, tc_fun(tc_prod(_u5039, _u5041), tc_HOL_Obool), tc_fun(_u5041, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5041, tc_fun(tc_fun(tc_prod(_u5039, _u5041), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u5039, _u5041), tc_HOL_Obool), tc_fun(_u5041, tc_HOL_Obool)), _u5039), c_COMBC(_u5041, tc_fun(tc_prod(_u5039, _u5041), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5041, tc_prod(_u5039, _u5041)), tc_fun(_u5041, tc_fun(tc_fun(tc_prod(_u5039, _u5041), tc_HOL_Obool), tc_HOL_Obool)), _u5039), hAPP(c_COMBB(tc_prod(_u5039, _u5041), tc_fun(tc_fun(tc_prod(_u5039, _u5041), tc_HOL_Obool), tc_HOL_Obool), _u5041), c_member(tc_prod(_u5039, _u5041)))), c_Product__Type_OPair(_u5039, _u5041)))), _u5043)), hAPP(hAPP(c_COMBC(_u5039, tc_fun(tc_prod(_u5039, _u5041), tc_HOL_Obool), tc_fun(_u5041, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5041, tc_fun(tc_fun(tc_prod(_u5039, _u5041), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u5039, _u5041), tc_HOL_Obool), tc_fun(_u5041, tc_HOL_Obool)), _u5039), c_COMBC(_u5041, tc_fun(tc_prod(_u5039, _u5041), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5041, tc_prod(_u5039, _u5041)), tc_fun(_u5041, tc_fun(tc_fun(tc_prod(_u5039, _u5041), tc_HOL_Obool), tc_HOL_Obool)), _u5039), hAPP(c_COMBB(tc_prod(_u5039, _u5041), tc_fun(tc_fun(tc_prod(_u5039, _u5041), tc_HOL_Obool), tc_HOL_Obool), _u5041), c_member(tc_prod(_u5039, _u5041)))), c_Product__Type_OPair(_u5039, _u5041)))), _u5045)), _u5047), _u5049)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u5039, _u5041)), hAPP(hAPP(c_Product__Type_OPair(_u5039, _u5041), _u5047), _u5049)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u5039, _u5041), tc_HOL_Obool)), _u5043), _u5045))) )).
% 39.89/40.13 cnf(matrix-2386, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u5040, _u5042)), hAPP(hAPP(c_Product__Type_OPair(_u5040, _u5042), _u5048), _u5050)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u5040, _u5042), tc_HOL_Obool)), _u5044), _u5046))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5040, tc_fun(_u5042, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u5040, tc_fun(tc_prod(_u5040, _u5042), tc_HOL_Obool), tc_fun(_u5042, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5042, tc_fun(tc_fun(tc_prod(_u5040, _u5042), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u5040, _u5042), tc_HOL_Obool), tc_fun(_u5042, tc_HOL_Obool)), _u5040), c_COMBC(_u5042, tc_fun(tc_prod(_u5040, _u5042), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5042, tc_prod(_u5040, _u5042)), tc_fun(_u5042, tc_fun(tc_fun(tc_prod(_u5040, _u5042), tc_HOL_Obool), tc_HOL_Obool)), _u5040), hAPP(c_COMBB(tc_prod(_u5040, _u5042), tc_fun(tc_fun(tc_prod(_u5040, _u5042), tc_HOL_Obool), tc_HOL_Obool), _u5042), c_member(tc_prod(_u5040, _u5042)))), c_Product__Type_OPair(_u5040, _u5042)))), _u5044)), hAPP(hAPP(c_COMBC(_u5040, tc_fun(tc_prod(_u5040, _u5042), tc_HOL_Obool), tc_fun(_u5042, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5042, tc_fun(tc_fun(tc_prod(_u5040, _u5042), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u5040, _u5042), tc_HOL_Obool), tc_fun(_u5042, tc_HOL_Obool)), _u5040), c_COMBC(_u5042, tc_fun(tc_prod(_u5040, _u5042), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5042, tc_prod(_u5040, _u5042)), tc_fun(_u5042, tc_fun(tc_fun(tc_prod(_u5040, _u5042), tc_HOL_Obool), tc_HOL_Obool)), _u5040), hAPP(c_COMBB(tc_prod(_u5040, _u5042), tc_fun(tc_fun(tc_prod(_u5040, _u5042), tc_HOL_Obool), tc_HOL_Obool), _u5042), c_member(tc_prod(_u5040, _u5042)))), c_Product__Type_OPair(_u5040, _u5042)))), _u5046)), _u5048), _u5050)) )).
% 39.89/40.13 cnf(matrix-2387, plain, ( ( _u5059 = _u5061) | ( hAPP(hAPP(c_COMBC(_u5055, tc_fun(tc_prod(_u5055, _u5057), tc_HOL_Obool), tc_fun(_u5057, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5057, tc_fun(tc_fun(tc_prod(_u5055, _u5057), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u5055, _u5057), tc_HOL_Obool), tc_fun(_u5057, tc_HOL_Obool)), _u5055), c_COMBC(_u5057, tc_fun(tc_prod(_u5055, _u5057), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5057, tc_prod(_u5055, _u5057)), tc_fun(_u5057, tc_fun(tc_fun(tc_prod(_u5055, _u5057), tc_HOL_Obool), tc_HOL_Obool)), _u5055), hAPP(c_COMBB(tc_prod(_u5055, _u5057), tc_fun(tc_fun(tc_prod(_u5055, _u5057), tc_HOL_Obool), tc_HOL_Obool), _u5057), c_member(tc_prod(_u5055, _u5057)))), c_Product__Type_OPair(_u5055, _u5057)))), _u5059) != hAPP(hAPP(c_COMBC(_u5055, tc_fun(tc_prod(_u5055, _u5057), tc_HOL_Obool), tc_fun(_u5057, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5057, tc_fun(tc_fun(tc_prod(_u5055, _u5057), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u5055, _u5057), tc_HOL_Obool), tc_fun(_u5057, tc_HOL_Obool)), _u5055), c_COMBC(_u5057, tc_fun(tc_prod(_u5055, _u5057), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5057, tc_prod(_u5055, _u5057)), tc_fun(_u5057, tc_fun(tc_fun(tc_prod(_u5055, _u5057), tc_HOL_Obool), tc_HOL_Obool)), _u5055), hAPP(c_COMBB(tc_prod(_u5055, _u5057), tc_fun(tc_fun(tc_prod(_u5055, _u5057), tc_HOL_Obool), tc_HOL_Obool), _u5057), c_member(tc_prod(_u5055, _u5057)))), c_Product__Type_OPair(_u5055, _u5057)))), _u5061)) )).
% 39.89/40.13 cnf(matrix-2388, plain, ( ( _u5060 != _u5062) | ( hAPP(hAPP(c_COMBC(_u5056, tc_fun(tc_prod(_u5056, _u5058), tc_HOL_Obool), tc_fun(_u5058, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5058, tc_fun(tc_fun(tc_prod(_u5056, _u5058), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u5056, _u5058), tc_HOL_Obool), tc_fun(_u5058, tc_HOL_Obool)), _u5056), c_COMBC(_u5058, tc_fun(tc_prod(_u5056, _u5058), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5058, tc_prod(_u5056, _u5058)), tc_fun(_u5058, tc_fun(tc_fun(tc_prod(_u5056, _u5058), tc_HOL_Obool), tc_HOL_Obool)), _u5056), hAPP(c_COMBB(tc_prod(_u5056, _u5058), tc_fun(tc_fun(tc_prod(_u5056, _u5058), tc_HOL_Obool), tc_HOL_Obool), _u5058), c_member(tc_prod(_u5056, _u5058)))), c_Product__Type_OPair(_u5056, _u5058)))), _u5060) = hAPP(hAPP(c_COMBC(_u5056, tc_fun(tc_prod(_u5056, _u5058), tc_HOL_Obool), tc_fun(_u5058, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5058, tc_fun(tc_fun(tc_prod(_u5056, _u5058), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u5056, _u5058), tc_HOL_Obool), tc_fun(_u5058, tc_HOL_Obool)), _u5056), c_COMBC(_u5058, tc_fun(tc_prod(_u5056, _u5058), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5058, tc_prod(_u5056, _u5058)), tc_fun(_u5058, tc_fun(tc_fun(tc_prod(_u5056, _u5058), tc_HOL_Obool), tc_HOL_Obool)), _u5056), hAPP(c_COMBB(tc_prod(_u5056, _u5058), tc_fun(tc_fun(tc_prod(_u5056, _u5058), tc_HOL_Obool), tc_HOL_Obool), _u5058), c_member(tc_prod(_u5056, _u5058)))), c_Product__Type_OPair(_u5056, _u5058)))), _u5062)) )).
% 39.89/40.13 cnf(matrix-2389, plain, ( ~c_Equiv__Relations_Ocongruent2(_u5063, _u5064, _u5065, _u5066, _u5067, _u5068) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u5063, _u5063)), hAPP(hAPP(c_Product__Type_OPair(_u5063, _u5063), _u5069), _u5070)), _u5066)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u5064, _u5064)), hAPP(hAPP(c_Product__Type_OPair(_u5064, _u5064), _u5071), _u5072)), _u5067)) | ( hAPP(hAPP(_u5068, _u5069), _u5071) = hAPP(hAPP(_u5068, _u5070), _u5072)) )).
% 39.89/40.13 cnf(matrix-2390, plain, ( ~c_Equiv__Relations_Ocongruent(_u5073, _u5074, _u5075, _u5076) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u5073, _u5073)), hAPP(hAPP(c_Product__Type_OPair(_u5073, _u5073), _u5077), _u5078)), _u5075)) | ( hAPP(_u5076, _u5077) = hAPP(_u5076, _u5078)) )).
% 39.89/40.13 cnf(matrix-2391, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5083, tc_fun(_u5085, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u5083, tc_fun(tc_prod(_u5083, _u5085), tc_HOL_Obool), tc_fun(_u5085, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5085, tc_fun(tc_fun(tc_prod(_u5083, _u5085), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u5083, _u5085), tc_HOL_Obool), tc_fun(_u5085, tc_HOL_Obool)), _u5083), c_COMBC(_u5085, tc_fun(tc_prod(_u5083, _u5085), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5085, tc_prod(_u5083, _u5085)), tc_fun(_u5085, tc_fun(tc_fun(tc_prod(_u5083, _u5085), tc_HOL_Obool), tc_HOL_Obool)), _u5083), hAPP(c_COMBB(tc_prod(_u5083, _u5085), tc_fun(tc_fun(tc_prod(_u5083, _u5085), tc_HOL_Obool), tc_HOL_Obool), _u5085), c_member(tc_prod(_u5083, _u5085)))), c_Product__Type_OPair(_u5083, _u5085)))), _u5087)), hAPP(hAPP(c_COMBC(_u5083, tc_fun(tc_prod(_u5083, _u5085), tc_HOL_Obool), tc_fun(_u5085, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5085, tc_fun(tc_fun(tc_prod(_u5083, _u5085), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u5083, _u5085), tc_HOL_Obool), tc_fun(_u5085, tc_HOL_Obool)), _u5083), c_COMBC(_u5085, tc_fun(tc_prod(_u5083, _u5085), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5085, tc_prod(_u5083, _u5085)), tc_fun(_u5085, tc_fun(tc_fun(tc_prod(_u5083, _u5085), tc_HOL_Obool), tc_HOL_Obool)), _u5083), hAPP(c_COMBB(tc_prod(_u5083, _u5085), tc_fun(tc_fun(tc_prod(_u5083, _u5085), tc_HOL_Obool), tc_HOL_Obool), _u5085), c_member(tc_prod(_u5083, _u5085)))), c_Product__Type_OPair(_u5083, _u5085)))), _u5089))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u5083, _u5085), tc_HOL_Obool)), _u5087), _u5089)) )).
% 39.89/40.13 cnf(matrix-2392, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u5084, _u5086), tc_HOL_Obool)), _u5088), _u5090)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5084, tc_fun(_u5086, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u5084, tc_fun(tc_prod(_u5084, _u5086), tc_HOL_Obool), tc_fun(_u5086, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5086, tc_fun(tc_fun(tc_prod(_u5084, _u5086), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u5084, _u5086), tc_HOL_Obool), tc_fun(_u5086, tc_HOL_Obool)), _u5084), c_COMBC(_u5086, tc_fun(tc_prod(_u5084, _u5086), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5086, tc_prod(_u5084, _u5086)), tc_fun(_u5086, tc_fun(tc_fun(tc_prod(_u5084, _u5086), tc_HOL_Obool), tc_HOL_Obool)), _u5084), hAPP(c_COMBB(tc_prod(_u5084, _u5086), tc_fun(tc_fun(tc_prod(_u5084, _u5086), tc_HOL_Obool), tc_HOL_Obool), _u5086), c_member(tc_prod(_u5084, _u5086)))), c_Product__Type_OPair(_u5084, _u5086)))), _u5088)), hAPP(hAPP(c_COMBC(_u5084, tc_fun(tc_prod(_u5084, _u5086), tc_HOL_Obool), tc_fun(_u5086, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5086, tc_fun(tc_fun(tc_prod(_u5084, _u5086), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u5084, _u5086), tc_HOL_Obool), tc_fun(_u5086, tc_HOL_Obool)), _u5084), c_COMBC(_u5086, tc_fun(tc_prod(_u5084, _u5086), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5086, tc_prod(_u5084, _u5086)), tc_fun(_u5086, tc_fun(tc_fun(tc_prod(_u5084, _u5086), tc_HOL_Obool), tc_HOL_Obool)), _u5084), hAPP(c_COMBB(tc_prod(_u5084, _u5086), tc_fun(tc_fun(tc_prod(_u5084, _u5086), tc_HOL_Obool), tc_HOL_Obool), _u5086), c_member(tc_prod(_u5084, _u5086)))), c_Product__Type_OPair(_u5084, _u5086)))), _u5090))) )).
% 39.89/40.13 cnf(matrix-2393, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u5095, tc_fun(_u5097, tc_HOL_Obool))), _u5099), _u5101)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u5095, _u5097)), hAPP(hAPP(c_Product__Type_OPair(_u5095, _u5097), _u5099), _u5101)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u5095, _u5097), tc_HOL_Obool)))) )).
% 39.89/40.13 cnf(matrix-2394, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u5096, _u5098)), hAPP(hAPP(c_Product__Type_OPair(_u5096, _u5098), _u5100), _u5102)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u5096, _u5098), tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u5096, tc_fun(_u5098, tc_HOL_Obool))), _u5100), _u5102)) )).
% 39.89/40.13 cnf(matrix-2395, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5109, tc_fun(_u5111, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u5109, tc_fun(tc_prod(_u5109, _u5111), tc_HOL_Obool), tc_fun(_u5111, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5111, tc_fun(tc_fun(tc_prod(_u5109, _u5111), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u5109, _u5111), tc_HOL_Obool), tc_fun(_u5111, tc_HOL_Obool)), _u5109), c_COMBC(_u5111, tc_fun(tc_prod(_u5109, _u5111), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5111, tc_prod(_u5109, _u5111)), tc_fun(_u5111, tc_fun(tc_fun(tc_prod(_u5109, _u5111), tc_HOL_Obool), tc_HOL_Obool)), _u5109), hAPP(c_COMBB(tc_prod(_u5109, _u5111), tc_fun(tc_fun(tc_prod(_u5109, _u5111), tc_HOL_Obool), tc_HOL_Obool), _u5111), c_member(tc_prod(_u5109, _u5111)))), c_Product__Type_OPair(_u5109, _u5111)))), _u5113)), hAPP(hAPP(c_COMBC(_u5109, tc_fun(tc_prod(_u5109, _u5111), tc_HOL_Obool), tc_fun(_u5111, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5111, tc_fun(tc_fun(tc_prod(_u5109, _u5111), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u5109, _u5111), tc_HOL_Obool), tc_fun(_u5111, tc_HOL_Obool)), _u5109), c_COMBC(_u5111, tc_fun(tc_prod(_u5109, _u5111), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5111, tc_prod(_u5109, _u5111)), tc_fun(_u5111, tc_fun(tc_fun(tc_prod(_u5109, _u5111), tc_HOL_Obool), tc_HOL_Obool)), _u5109), hAPP(c_COMBB(tc_prod(_u5109, _u5111), tc_fun(tc_fun(tc_prod(_u5109, _u5111), tc_HOL_Obool), tc_HOL_Obool), _u5111), c_member(tc_prod(_u5109, _u5111)))), c_Product__Type_OPair(_u5109, _u5111)))), _u5115)), _u5117), _u5119)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u5109, _u5111)), hAPP(hAPP(c_Product__Type_OPair(_u5109, _u5111), _u5117), _u5119)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u5109, _u5111), tc_HOL_Obool)), _u5113), _u5115))) )).
% 39.89/40.13 cnf(matrix-2396, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u5110, _u5112)), hAPP(hAPP(c_Product__Type_OPair(_u5110, _u5112), _u5118), _u5120)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u5110, _u5112), tc_HOL_Obool)), _u5114), _u5116))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5110, tc_fun(_u5112, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u5110, tc_fun(tc_prod(_u5110, _u5112), tc_HOL_Obool), tc_fun(_u5112, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5112, tc_fun(tc_fun(tc_prod(_u5110, _u5112), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u5110, _u5112), tc_HOL_Obool), tc_fun(_u5112, tc_HOL_Obool)), _u5110), c_COMBC(_u5112, tc_fun(tc_prod(_u5110, _u5112), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5112, tc_prod(_u5110, _u5112)), tc_fun(_u5112, tc_fun(tc_fun(tc_prod(_u5110, _u5112), tc_HOL_Obool), tc_HOL_Obool)), _u5110), hAPP(c_COMBB(tc_prod(_u5110, _u5112), tc_fun(tc_fun(tc_prod(_u5110, _u5112), tc_HOL_Obool), tc_HOL_Obool), _u5112), c_member(tc_prod(_u5110, _u5112)))), c_Product__Type_OPair(_u5110, _u5112)))), _u5114)), hAPP(hAPP(c_COMBC(_u5110, tc_fun(tc_prod(_u5110, _u5112), tc_HOL_Obool), tc_fun(_u5112, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5112, tc_fun(tc_fun(tc_prod(_u5110, _u5112), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u5110, _u5112), tc_HOL_Obool), tc_fun(_u5112, tc_HOL_Obool)), _u5110), c_COMBC(_u5112, tc_fun(tc_prod(_u5110, _u5112), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5112, tc_prod(_u5110, _u5112)), tc_fun(_u5112, tc_fun(tc_fun(tc_prod(_u5110, _u5112), tc_HOL_Obool), tc_HOL_Obool)), _u5110), hAPP(c_COMBB(tc_prod(_u5110, _u5112), tc_fun(tc_fun(tc_prod(_u5110, _u5112), tc_HOL_Obool), tc_HOL_Obool), _u5112), c_member(tc_prod(_u5110, _u5112)))), c_Product__Type_OPair(_u5110, _u5112)))), _u5116)), _u5118), _u5120)) )).
% 39.89/40.13 cnf(matrix-2397, plain, ( ~class_Enum_Oenum(_u5121) | ~class_Enum_Oenum(_u5122) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_prod(_u5122, _u5121)), _u5123)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u5122), hAPP(hAPP(c_COMBB(tc_fun(_u5121, tc_HOL_Obool), tc_HOL_Obool, _u5122), c_Enum_Oenum__class_Oenum__ex(_u5121)), hAPP(hAPP(c_COMBB(tc_fun(_u5121, tc_prod(_u5122, _u5121)), tc_fun(_u5121, tc_HOL_Obool), _u5122), hAPP(c_COMBB(tc_prod(_u5122, _u5121), tc_HOL_Obool, _u5121), _u5123)), c_Product__Type_OPair(_u5122, _u5121))))) )).
% 39.89/40.13 cnf(matrix-2398, plain, ( ~class_Enum_Oenum(_u5121) | ~class_Enum_Oenum(_u5122) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u5122), hAPP(hAPP(c_COMBB(tc_fun(_u5121, tc_HOL_Obool), tc_HOL_Obool, _u5122), c_Enum_Oenum__class_Oenum__ex(_u5121)), hAPP(hAPP(c_COMBB(tc_fun(_u5121, tc_prod(_u5122, _u5121)), tc_fun(_u5121, tc_HOL_Obool), _u5122), hAPP(c_COMBB(tc_prod(_u5122, _u5121), tc_HOL_Obool, _u5121), _u5123)), c_Product__Type_OPair(_u5122, _u5121))))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_prod(_u5122, _u5121)), _u5123)) )).
% 39.89/40.13 cnf(matrix-2399, plain, ( ~class_Enum_Oenum(_u5124) | ~class_Enum_Oenum(_u5125) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_prod(_u5125, _u5124)), _u5126)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u5125), hAPP(hAPP(c_COMBB(tc_fun(_u5124, tc_HOL_Obool), tc_HOL_Obool, _u5125), c_Enum_Oenum__class_Oenum__all(_u5124)), hAPP(hAPP(c_COMBB(tc_fun(_u5124, tc_prod(_u5125, _u5124)), tc_fun(_u5124, tc_HOL_Obool), _u5125), hAPP(c_COMBB(tc_prod(_u5125, _u5124), tc_HOL_Obool, _u5124), _u5126)), c_Product__Type_OPair(_u5125, _u5124))))) )).
% 39.89/40.13 cnf(matrix-2400, plain, ( ~class_Enum_Oenum(_u5124) | ~class_Enum_Oenum(_u5125) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u5125), hAPP(hAPP(c_COMBB(tc_fun(_u5124, tc_HOL_Obool), tc_HOL_Obool, _u5125), c_Enum_Oenum__class_Oenum__all(_u5124)), hAPP(hAPP(c_COMBB(tc_fun(_u5124, tc_prod(_u5125, _u5124)), tc_fun(_u5124, tc_HOL_Obool), _u5125), hAPP(c_COMBB(tc_prod(_u5125, _u5124), tc_HOL_Obool, _u5124), _u5126)), c_Product__Type_OPair(_u5125, _u5124))))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_prod(_u5125, _u5124)), _u5126)) )).
% 39.89/40.13 cnf(matrix-2401, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u5134), _u5136), hAPP(c_Relation_OImage(_u5138, _u5134, _u5140), _u5142))) | hBOOL(hAPP(hAPP(c_member(_u5138), skolem105(_u5142, _u5140, _u5138, _u5136, _u5134)), _u5142)) )).
% 39.89/40.13 cnf(matrix-2402, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u5134), _u5136), hAPP(c_Relation_OImage(_u5138, _u5134, _u5140), _u5142))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u5138, _u5134)), hAPP(hAPP(c_Product__Type_OPair(_u5138, _u5134), skolem105(_u5142, _u5140, _u5138, _u5136, _u5134)), _u5136)), _u5140)) )).
% 39.89/40.13 cnf(matrix-2403, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u5139), _u5128), _u5143)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u5139, _u5135)), hAPP(hAPP(c_Product__Type_OPair(_u5139, _u5135), _u5128), _u5137)), _u5141)) | hBOOL(hAPP(hAPP(c_member(_u5135), _u5137), hAPP(c_Relation_OImage(_u5139, _u5135, _u5141), _u5143))) )).
% 39.89/40.13 cnf(matrix-2404, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u5144), _u5145), _u5146)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u5144, _u5147)), hAPP(hAPP(c_Product__Type_OPair(_u5144, _u5147), _u5145), _u5148)), _u5149)) | hBOOL(hAPP(hAPP(c_member(_u5147), _u5148), hAPP(c_Relation_OImage(_u5144, _u5147, _u5149), _u5146))) )).
% 39.89/40.13 cnf(matrix-2405, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u5155), _u5157), hAPP(c_Relation_OImage(_u5159, _u5155, _u5161), hAPP(hAPP(c_Set_Oinsert(_u5159), _u5163), c_Orderings_Obot__class_Obot(tc_fun(_u5159, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u5159, _u5155)), hAPP(hAPP(c_Product__Type_OPair(_u5159, _u5155), _u5163), _u5157)), _u5161)) )).
% 39.89/40.13 cnf(matrix-2406, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u5160, _u5156)), hAPP(hAPP(c_Product__Type_OPair(_u5160, _u5156), _u5164), _u5158)), _u5162)) | hBOOL(hAPP(hAPP(c_member(_u5156), _u5158), hAPP(c_Relation_OImage(_u5160, _u5156, _u5162), hAPP(hAPP(c_Set_Oinsert(_u5160), _u5164), c_Orderings_Obot__class_Obot(tc_fun(_u5160, tc_HOL_Obool)))))) )).
% 39.89/40.13 cnf(matrix-2407, plain, ( ~c_Finite__Set_Ofolding__one__idem(_u5165, _u5166, _u5167) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5165), _u5168)) | ~hBOOL(hAPP(hAPP(c_member(_u5165), _u5169), _u5168)) | ( hAPP(hAPP(_u5166, _u5169), hAPP(_u5167, _u5168)) = hAPP(_u5167, _u5168)) )).
% 39.89/40.13 cnf(matrix-2408, plain, ( ~c_Equiv__Relations_Oequiv(_u5170, _u5171, _u5172) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u5170, _u5170)), hAPP(hAPP(c_Product__Type_OPair(_u5170, _u5170), _u5173), _u5174)), _u5172)) | ( hAPP(c_Relation_OImage(_u5170, _u5170, _u5172), hAPP(hAPP(c_Set_Oinsert(_u5170), _u5173), c_Orderings_Obot__class_Obot(tc_fun(_u5170, tc_HOL_Obool)))) = hAPP(c_Relation_OImage(_u5170, _u5170, _u5172), hAPP(hAPP(c_Set_Oinsert(_u5170), _u5174), c_Orderings_Obot__class_Obot(tc_fun(_u5170, tc_HOL_Obool))))) )).
% 39.89/40.13 cnf(matrix-2409, plain, ( ~c_Equiv__Relations_Oequiv(_u5175, _u5176, _u5177) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u5175, tc_HOL_Obool)), _u5178), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u5175), _u5176), _u5177))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u5175, tc_HOL_Obool)), _u5179), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u5175), _u5176), _u5177))) | ~hBOOL(hAPP(hAPP(c_member(_u5175), _u5180), _u5178)) | ~hBOOL(hAPP(hAPP(c_member(_u5175), _u5181), _u5179)) | ( _u5178 != _u5179) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u5175, _u5175)), hAPP(hAPP(c_Product__Type_OPair(_u5175, _u5175), _u5180), _u5181)), _u5177)) )).
% 39.89/40.13 cnf(matrix-2410, plain, ( ~c_Equiv__Relations_Oequiv(_u5175, _u5176, _u5177) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u5175, tc_HOL_Obool)), _u5178), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u5175), _u5176), _u5177))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u5175, tc_HOL_Obool)), _u5179), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u5175), _u5176), _u5177))) | ~hBOOL(hAPP(hAPP(c_member(_u5175), _u5180), _u5178)) | ~hBOOL(hAPP(hAPP(c_member(_u5175), _u5181), _u5179)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u5175, _u5175)), hAPP(hAPP(c_Product__Type_OPair(_u5175, _u5175), _u5180), _u5181)), _u5177)) | ( _u5178 = _u5179) )).
% 39.89/40.13 cnf(matrix-2411, plain, ( ~c_Equiv__Relations_Oequiv(_u5182, _u5183, _u5184) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u5182, tc_HOL_Obool)), _u5185), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u5182), _u5183), _u5184))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u5182, tc_HOL_Obool)), _u5186), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u5182), _u5183), _u5184))) | ~hBOOL(hAPP(hAPP(c_member(_u5182), _u5187), _u5185)) | ~hBOOL(hAPP(hAPP(c_member(_u5182), _u5188), _u5186)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u5182, _u5182)), hAPP(hAPP(c_Product__Type_OPair(_u5182, _u5182), _u5187), _u5188)), _u5184)) | ( _u5185 = _u5186) )).
% 39.89/40.13 cnf(matrix-2412, plain, ( ( hAPP(c_Relation_OImage(_u5189, _u5190, _u5191), hAPP(hAPP(c_Set_Oinsert(_u5189), _u5192), c_Orderings_Obot__class_Obot(tc_fun(_u5189, tc_HOL_Obool)))) = hAPP(c_Set_OCollect(_u5190), hAPP(hAPP(c_COMBC(_u5190, tc_fun(tc_prod(_u5189, _u5190), tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_prod(_u5189, _u5190), tc_fun(tc_fun(tc_prod(_u5189, _u5190), tc_HOL_Obool), tc_HOL_Obool), _u5190), c_member(tc_prod(_u5189, _u5190))), hAPP(c_Product__Type_OPair(_u5189, _u5190), _u5192))), _u5191))) )).
% 39.89/40.13 cnf(matrix-2413, plain, ( ~c_Equiv__Relations_Oequiv(_u5193, _u5194, _u5195) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u5193, _u5193)), hAPP(hAPP(c_Product__Type_OPair(_u5193, _u5193), _u5196), _u5197)), _u5195)) | ( hAPP(c_Relation_OImage(_u5193, _u5193, _u5195), hAPP(hAPP(c_Set_Oinsert(_u5193), _u5196), c_Orderings_Obot__class_Obot(tc_fun(_u5193, tc_HOL_Obool)))) = hAPP(c_Relation_OImage(_u5193, _u5193, _u5195), hAPP(hAPP(c_Set_Oinsert(_u5193), _u5197), c_Orderings_Obot__class_Obot(tc_fun(_u5193, tc_HOL_Obool))))) )).
% 39.89/40.13 cnf(matrix-2414, plain, ( ~c_Equiv__Relations_Oequiv(_u5193, _u5194, _u5195) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u5193, _u5193)), hAPP(hAPP(c_Product__Type_OPair(_u5193, _u5193), _u5196), _u5197)), _u5195)) | hBOOL(hAPP(hAPP(c_member(_u5193), _u5196), _u5194)) )).
% 39.89/40.13 cnf(matrix-2415, plain, ( ~c_Equiv__Relations_Oequiv(_u5193, _u5194, _u5195) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u5193, _u5193)), hAPP(hAPP(c_Product__Type_OPair(_u5193, _u5193), _u5196), _u5197)), _u5195)) | hBOOL(hAPP(hAPP(c_member(_u5193), _u5197), _u5194)) )).
% 39.89/40.13 cnf(matrix-2416, plain, ( ~c_Equiv__Relations_Oequiv(_u5193, _u5194, _u5195) | ( hAPP(c_Relation_OImage(_u5193, _u5193, _u5195), hAPP(hAPP(c_Set_Oinsert(_u5193), _u5196), c_Orderings_Obot__class_Obot(tc_fun(_u5193, tc_HOL_Obool)))) != hAPP(c_Relation_OImage(_u5193, _u5193, _u5195), hAPP(hAPP(c_Set_Oinsert(_u5193), _u5197), c_Orderings_Obot__class_Obot(tc_fun(_u5193, tc_HOL_Obool))))) | ~hBOOL(hAPP(hAPP(c_member(_u5193), _u5196), _u5194)) | ~hBOOL(hAPP(hAPP(c_member(_u5193), _u5197), _u5194)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u5193, _u5193)), hAPP(hAPP(c_Product__Type_OPair(_u5193, _u5193), _u5196), _u5197)), _u5195)) )).
% 39.89/40.13 cnf(matrix-2417, plain, ( ~c_Equiv__Relations_Oequiv(_u5198, _u5199, _u5200) | ~hBOOL(hAPP(hAPP(c_member(_u5198), _u5201), _u5199)) | ~hBOOL(hAPP(hAPP(c_member(_u5198), _u5202), _u5199)) | ( hAPP(c_Relation_OImage(_u5198, _u5198, _u5200), hAPP(hAPP(c_Set_Oinsert(_u5198), _u5201), c_Orderings_Obot__class_Obot(tc_fun(_u5198, tc_HOL_Obool)))) != hAPP(c_Relation_OImage(_u5198, _u5198, _u5200), hAPP(hAPP(c_Set_Oinsert(_u5198), _u5202), c_Orderings_Obot__class_Obot(tc_fun(_u5198, tc_HOL_Obool))))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u5198, _u5198)), hAPP(hAPP(c_Product__Type_OPair(_u5198, _u5198), _u5201), _u5202)), _u5200)) )).
% 39.89/40.13 cnf(matrix-2418, plain, ( ~c_Equiv__Relations_Oequiv(_u5198, _u5199, _u5200) | ~hBOOL(hAPP(hAPP(c_member(_u5198), _u5201), _u5199)) | ~hBOOL(hAPP(hAPP(c_member(_u5198), _u5202), _u5199)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u5198, _u5198)), hAPP(hAPP(c_Product__Type_OPair(_u5198, _u5198), _u5201), _u5202)), _u5200)) | ( hAPP(c_Relation_OImage(_u5198, _u5198, _u5200), hAPP(hAPP(c_Set_Oinsert(_u5198), _u5201), c_Orderings_Obot__class_Obot(tc_fun(_u5198, tc_HOL_Obool)))) = hAPP(c_Relation_OImage(_u5198, _u5198, _u5200), hAPP(hAPP(c_Set_Oinsert(_u5198), _u5202), c_Orderings_Obot__class_Obot(tc_fun(_u5198, tc_HOL_Obool))))) )).
% 39.89/40.13 cnf(matrix-2419, plain, ( ( hAPP(c_Relation_OImage(_u5203, _u5203, _u5204), hAPP(hAPP(c_Set_Oinsert(_u5203), _u5205), c_Orderings_Obot__class_Obot(tc_fun(_u5203, tc_HOL_Obool)))) != hAPP(c_Relation_OImage(_u5203, _u5203, _u5204), hAPP(hAPP(c_Set_Oinsert(_u5203), _u5206), c_Orderings_Obot__class_Obot(tc_fun(_u5203, tc_HOL_Obool))))) | ~c_Equiv__Relations_Oequiv(_u5203, _u5207, _u5204) | ~hBOOL(hAPP(hAPP(c_member(_u5203), _u5206), _u5207)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u5203, _u5203)), hAPP(hAPP(c_Product__Type_OPair(_u5203, _u5203), _u5205), _u5206)), _u5204)) )).
% 39.89/40.13 cnf(matrix-2420, plain, ( ~c_Equiv__Relations_Oequiv(_u5208, _u5209, _u5210) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u5208, _u5208)), hAPP(hAPP(c_Product__Type_OPair(_u5208, _u5208), _u5211), _u5212)), _u5210)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5208, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u5208, _u5208, _u5210), hAPP(hAPP(c_Set_Oinsert(_u5208), _u5211), c_Orderings_Obot__class_Obot(tc_fun(_u5208, tc_HOL_Obool))))), hAPP(c_Relation_OImage(_u5208, _u5208, _u5210), hAPP(hAPP(c_Set_Oinsert(_u5208), _u5212), c_Orderings_Obot__class_Obot(tc_fun(_u5208, tc_HOL_Obool)))))) )).
% 39.89/40.13 cnf(matrix-2421, plain, ( ~c_Equiv__Relations_Oequiv(_u5213, _u5214, _u5215) | ~hBOOL(hAPP(hAPP(c_member(_u5213), _u5216), _u5214)) | ~hBOOL(hAPP(hAPP(c_member(_u5213), _u5217), _u5214)) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u5213), hAPP(hAPP(c_Set_Oinsert(_u5213), _u5216), c_Orderings_Obot__class_Obot(tc_fun(_u5213, tc_HOL_Obool)))), _u5215) != hAPP(hAPP(c_Equiv__Relations_Oquotient(_u5213), hAPP(hAPP(c_Set_Oinsert(_u5213), _u5217), c_Orderings_Obot__class_Obot(tc_fun(_u5213, tc_HOL_Obool)))), _u5215)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u5213, _u5213)), hAPP(hAPP(c_Product__Type_OPair(_u5213, _u5213), _u5216), _u5217)), _u5215)) )).
% 39.89/40.13 cnf(matrix-2422, plain, ( ~c_Equiv__Relations_Oequiv(_u5213, _u5214, _u5215) | ~hBOOL(hAPP(hAPP(c_member(_u5213), _u5216), _u5214)) | ~hBOOL(hAPP(hAPP(c_member(_u5213), _u5217), _u5214)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u5213, _u5213)), hAPP(hAPP(c_Product__Type_OPair(_u5213, _u5213), _u5216), _u5217)), _u5215)) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u5213), hAPP(hAPP(c_Set_Oinsert(_u5213), _u5216), c_Orderings_Obot__class_Obot(tc_fun(_u5213, tc_HOL_Obool)))), _u5215) = hAPP(hAPP(c_Equiv__Relations_Oquotient(_u5213), hAPP(hAPP(c_Set_Oinsert(_u5213), _u5217), c_Orderings_Obot__class_Obot(tc_fun(_u5213, tc_HOL_Obool)))), _u5215)) )).
% 39.89/40.13 cnf(matrix-2423, plain, ( ~c_Finite__Set_Ofolding__one__idem(_u5218, _u5219, _u5220) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5218), _u5221)) | ( _u5221 = c_Orderings_Obot__class_Obot(tc_fun(_u5218, tc_HOL_Obool))) | ( hAPP(_u5220, hAPP(hAPP(c_Set_Oinsert(_u5218), _u5222), _u5221)) = hAPP(hAPP(_u5219, _u5222), hAPP(_u5220, _u5221))) )).
% 39.89/40.13 cnf(matrix-2424, plain, ( ~c_Finite__Set_Ofolding__one__idem(_u5223, _u5224, _u5225) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5223), _u5226)) | ( _u5227 = c_Orderings_Obot__class_Obot(tc_fun(_u5223, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5223, tc_HOL_Obool)), _u5227), _u5226)) | ( hAPP(hAPP(_u5224, hAPP(_u5225, _u5227)), hAPP(_u5225, _u5226)) = hAPP(_u5225, _u5226)) )).
% 39.89/40.13 cnf(matrix-2425, plain, ( ~hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(_u5233, _u5235, _u5237), _u5239), _u5241)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u5233, _u5235)), hAPP(hAPP(c_Product__Type_OPair(_u5233, _u5235), _u5239), _u5241)), _u5237)) )).
% 39.89/40.13 cnf(matrix-2426, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u5234, _u5236)), hAPP(hAPP(c_Product__Type_OPair(_u5234, _u5236), _u5240), _u5242)), _u5238)) | hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(_u5234, _u5236, _u5238), _u5240), _u5242)) )).
% 39.89/40.13 cnf(matrix-2427, plain, ( ~c_Nitpick_Orefl_H(_u5247, _u5249) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u5247, _u5247)), hAPP(hAPP(c_Product__Type_OPair(_u5247, _u5247), _u5243), _u5243)), _u5249)) )).
% 39.89/40.13 cnf(matrix-2428, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u5248, _u5248)), hAPP(hAPP(c_Product__Type_OPair(_u5248, _u5248), skolem106(_u5250, _u5248)), skolem106(_u5250, _u5248))), _u5250)) | c_Nitpick_Orefl_H(_u5248, _u5250) )).
% 39.89/40.13 cnf(matrix-2429, plain, ( ~c_Equiv__Relations_Oequiv(_u5253, _u5254, _u5255) | ~c_Equiv__Relations_Ocongruent(_u5253, tc_fun(_u5256, tc_HOL_Obool), _u5255, _u5257) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5253, tc_fun(_u5256, tc_HOL_Obool)), _u5258), _u5257) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5253, tc_fun(_u5256, tc_HOL_Obool)), _u5259), _u5257)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u5253, tc_HOL_Obool)), _u5258), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u5253), _u5254), _u5255))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u5253, tc_HOL_Obool)), _u5259), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u5253), _u5254), _u5255))) | ( _u5258 = _u5259) | hBOOL(hAPP(hAPP(c_member(_u5253), skolem107(_u5259, _u5258, _u5257, _u5256, _u5255, _u5254, _u5253)), _u5254)) )).
% 39.89/40.13 cnf(matrix-2430, plain, ( ~c_Equiv__Relations_Oequiv(_u5253, _u5254, _u5255) | ~c_Equiv__Relations_Ocongruent(_u5253, tc_fun(_u5256, tc_HOL_Obool), _u5255, _u5257) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5253, tc_fun(_u5256, tc_HOL_Obool)), _u5258), _u5257) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5253, tc_fun(_u5256, tc_HOL_Obool)), _u5259), _u5257)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u5253, tc_HOL_Obool)), _u5258), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u5253), _u5254), _u5255))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u5253, tc_HOL_Obool)), _u5259), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u5253), _u5254), _u5255))) | ( _u5258 = _u5259) | hBOOL(hAPP(hAPP(c_member(_u5253), skolem108(_u5259, _u5258, _u5257, _u5256, _u5255, _u5254, _u5253)), _u5254)) )).
% 39.89/40.13 cnf(matrix-2431, plain, ( ~c_Equiv__Relations_Oequiv(_u5253, _u5254, _u5255) | ~c_Equiv__Relations_Ocongruent(_u5253, tc_fun(_u5256, tc_HOL_Obool), _u5255, _u5257) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5253, tc_fun(_u5256, tc_HOL_Obool)), _u5258), _u5257) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5253, tc_fun(_u5256, tc_HOL_Obool)), _u5259), _u5257)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u5253, tc_HOL_Obool)), _u5258), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u5253), _u5254), _u5255))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u5253, tc_HOL_Obool)), _u5259), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u5253), _u5254), _u5255))) | ( _u5258 = _u5259) | ( hAPP(_u5257, skolem107(_u5259, _u5258, _u5257, _u5256, _u5255, _u5254, _u5253)) = hAPP(_u5257, skolem108(_u5259, _u5258, _u5257, _u5256, _u5255, _u5254, _u5253))) )).
% 39.89/40.13 cnf(matrix-2432, plain, ( ~c_Equiv__Relations_Oequiv(_u5253, _u5254, _u5255) | ~c_Equiv__Relations_Ocongruent(_u5253, tc_fun(_u5256, tc_HOL_Obool), _u5255, _u5257) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5253, tc_fun(_u5256, tc_HOL_Obool)), _u5258), _u5257) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5253, tc_fun(_u5256, tc_HOL_Obool)), _u5259), _u5257)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u5253, tc_HOL_Obool)), _u5258), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u5253), _u5254), _u5255))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u5253, tc_HOL_Obool)), _u5259), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u5253), _u5254), _u5255))) | ( _u5258 = _u5259) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u5253, _u5253)), hAPP(hAPP(c_Product__Type_OPair(_u5253, _u5253), skolem107(_u5259, _u5258, _u5257, _u5256, _u5255, _u5254, _u5253)), skolem108(_u5259, _u5258, _u5257, _u5256, _u5255, _u5254, _u5253))), _u5255)) )).
% 39.89/40.13 cnf(matrix-2433, plain, ( ~c_Relation_Oirrefl(_u5264, _u5266) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u5264, _u5264)), hAPP(hAPP(c_Product__Type_OPair(_u5264, _u5264), _u5260), _u5260)), _u5266)) )).
% 39.89/40.13 cnf(matrix-2434, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u5265, _u5265)), hAPP(hAPP(c_Product__Type_OPair(_u5265, _u5265), skolem109(_u5267, _u5265)), skolem109(_u5267, _u5265))), _u5267)) | c_Relation_Oirrefl(_u5265, _u5267) )).
% 39.89/40.13 cnf(matrix-2435, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u5269), _u5270), hAPP(c_Relation_OImage(_u5271, _u5269, _u5272), _u5273))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u5271, _u5269)), hAPP(hAPP(c_Product__Type_OPair(_u5271, _u5269), skolem110(_u5273, _u5272, _u5271, _u5270, _u5269)), _u5270)), _u5272)) )).
% 39.89/40.13 cnf(matrix-2436, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u5269), _u5270), hAPP(c_Relation_OImage(_u5271, _u5269, _u5272), _u5273))) | hBOOL(hAPP(hAPP(c_member(_u5271), skolem110(_u5273, _u5272, _u5271, _u5270, _u5269)), _u5273)) )).
% 39.89/40.13 cnf(matrix-2437, plain, ( ( hAPP(c_Relation_OField(_u5274), hAPP(hAPP(c_Set_Oinsert(tc_prod(_u5274, _u5274)), hAPP(hAPP(c_Product__Type_OPair(_u5274, _u5274), _u5275), _u5276)), _u5277)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5274, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u5274), _u5275), hAPP(hAPP(c_Set_Oinsert(_u5274), _u5276), c_Orderings_Obot__class_Obot(tc_fun(_u5274, tc_HOL_Obool))))), hAPP(c_Relation_OField(_u5274), _u5277))) )).
% 39.89/40.13 cnf(matrix-2438, plain, ( ~class_Groups_Ocomm__monoid__add(_u5279) | ~class_Groups_Oordered__cancel__ab__semigroup__add(_u5279) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5280), _u5281)) | ( _u5281 = c_Orderings_Obot__class_Obot(tc_fun(_u5280, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5279), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5280, _u5279), _u5282), _u5281)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5280, _u5279), _u5283), _u5281))) | hBOOL(hAPP(hAPP(c_member(_u5280), skolem111(_u5283, _u5282, _u5281, _u5280, _u5279)), _u5281)) )).
% 39.89/40.13 cnf(matrix-2439, plain, ( ~class_Groups_Ocomm__monoid__add(_u5279) | ~class_Groups_Oordered__cancel__ab__semigroup__add(_u5279) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5280), _u5281)) | ( _u5281 = c_Orderings_Obot__class_Obot(tc_fun(_u5280, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5279), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5280, _u5279), _u5282), _u5281)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5280, _u5279), _u5283), _u5281))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5279), hAPP(_u5282, skolem111(_u5283, _u5282, _u5281, _u5280, _u5279))), hAPP(_u5283, skolem111(_u5283, _u5282, _u5281, _u5280, _u5279)))) )).
% 39.89/40.13 cnf(matrix-2440, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5290), _u5292)) | ( _u5292 = hAPP(c_Set_Oimage(tc_Nat_Onat, _u5290, skolem113(_u5292, _u5290)), 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)), skolem112(_u5292, _u5290))))) )).
% 39.89/40.13 cnf(matrix-2441, plain, ( ( _u5293 != hAPP(c_Set_Oimage(tc_Nat_Onat, _u5291, _u5286), 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)), _u5287)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u5291), _u5293)) )).
% 39.89/40.13 cnf(matrix-2442, plain, ( hBOOL(hAPP(hAPP(_u5296, _u5298), _u5299)) | hBOOL(hAPP(hAPP(_u5297, _u5298), _u5299)) | ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5294, tc_fun(_u5295, tc_HOL_Obool))), _u5296), _u5297), _u5298), _u5299)) )).
% 39.89/40.13 cnf(matrix-2443, plain, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5304, tc_fun(_u5305, tc_HOL_Obool))), _u5303), _u5300), _u5301), _u5302)) | ~hBOOL(hAPP(hAPP(_u5300, _u5301), _u5302)) )).
% 39.89/40.13 cnf(matrix-2444, plain, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5304, tc_fun(_u5305, tc_HOL_Obool))), _u5303), _u5300), _u5301), _u5302)) | ~hBOOL(hAPP(hAPP(_u5303, _u5301), _u5302)) )).
% 39.89/40.13 cnf(matrix-2445, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5306, tc_fun(_u5307, tc_HOL_Obool))), _u5308), _u5309), _u5310), _u5311)) | hBOOL(hAPP(hAPP(_u5308, _u5310), _u5311)) )).
% 39.89/40.13 cnf(matrix-2446, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5306, tc_fun(_u5307, tc_HOL_Obool))), _u5308), _u5309), _u5310), _u5311)) | hBOOL(hAPP(hAPP(_u5309, _u5310), _u5311)) )).
% 39.89/40.13 cnf(matrix-2447, plain, ( ~hBOOL(hAPP(hAPP(_u5312, _u5313), _u5314)) | ~hBOOL(hAPP(hAPP(_u5315, _u5313), _u5314)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5316, tc_fun(_u5317, tc_HOL_Obool))), _u5312), _u5315), _u5313), _u5314)) )).
% 39.89/40.13 cnf(matrix-2448, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u5318, tc_fun(_u5319, tc_HOL_Obool))), _u5320), _u5321)) )).
% 39.89/40.13 cnf(matrix-2449, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5331, tc_fun(_u5333, tc_fun(_u5335, tc_HOL_Obool))), _u5337), _u5339), _u5341), _u5343)) | hBOOL(hAPP(hAPP(c_member(_u5331), skolem114(_u5343, _u5341, _u5339, _u5337, _u5335, _u5333, _u5331)), _u5337)) )).
% 39.89/40.13 cnf(matrix-2450, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5331, tc_fun(_u5333, tc_fun(_u5335, tc_HOL_Obool))), _u5337), _u5339), _u5341), _u5343)) | hBOOL(hAPP(hAPP(hAPP(_u5339, skolem114(_u5343, _u5341, _u5339, _u5337, _u5335, _u5333, _u5331)), _u5341), _u5343)) )).
% 39.89/40.13 cnf(matrix-2451, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u5332), _u5323), _u5338)) | ~hBOOL(hAPP(hAPP(hAPP(_u5340, _u5323), _u5342), _u5344)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5332, tc_fun(_u5334, tc_fun(_u5336, tc_HOL_Obool))), _u5338), _u5340), _u5342), _u5344)) )).
% 39.89/40.13 cnf(matrix-2452, plain, ( ~hBOOL(hAPP(hAPP(_u5345, _u5346), _u5347)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5348, tc_fun(_u5349, tc_HOL_Obool))), _u5345), _u5350), _u5346), _u5347)) )).
% 39.89/40.13 cnf(matrix-2453, plain, ( ~hBOOL(hAPP(hAPP(_u5351, _u5352), _u5353)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5354, tc_fun(_u5355, tc_HOL_Obool))), _u5356), _u5351), _u5352), _u5353)) )).
% 39.89/40.13 cnf(matrix-2454, plain, ( ~hBOOL(hAPP(hAPP(_u5357, _u5358), _u5359)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5360, tc_fun(_u5361, tc_HOL_Obool))), _u5357), _u5362)) | hBOOL(hAPP(hAPP(_u5362, _u5358), _u5359)) )).
% 39.89/40.13 cnf(matrix-2455, plain, ( ~hBOOL(hAPP(hAPP(_u5365, _u5367), _u5368)) | hBOOL(hAPP(hAPP(_u5366, _u5367), _u5368)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5363, tc_fun(_u5364, tc_HOL_Obool))), _u5365), _u5366)) )).
% 39.89/40.13 cnf(matrix-2456, plain, ( hBOOL(hAPP(hAPP(_u5372, _u5373), _u5374)) | ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5369, tc_fun(_u5370, tc_HOL_Obool))), _u5371), _u5372), _u5373), _u5374)) )).
% 39.89/40.13 cnf(matrix-2457, plain, ( hBOOL(hAPP(hAPP(_u5377, _u5379), _u5380)) | ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5375, tc_fun(_u5376, tc_HOL_Obool))), _u5377), _u5378), _u5379), _u5380)) )).
% 39.89/40.13 cnf(matrix-2458, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u5381, _u5381)), _u5382)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u5381), hAPP(c_Relation_OField(_u5381), _u5382))) )).
% 39.89/40.13 cnf(matrix-2459, plain, ( ( hAPP(c_Relation_OField(_u5383), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u5383, _u5383), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u5383, tc_HOL_Obool))) )).
% 39.89/40.13 cnf(matrix-2460, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u5384, _u5384), tc_HOL_Obool)), _u5385), _u5386)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5384, tc_HOL_Obool)), hAPP(c_Relation_OField(_u5384), _u5385)), hAPP(c_Relation_OField(_u5384), _u5386))) )).
% 39.89/40.13 cnf(matrix-2461, plain, ( ( hAPP(c_Relation_OField(_u5387), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u5387, _u5387), tc_HOL_Obool)), _u5388), _u5389)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5387, tc_HOL_Obool)), hAPP(c_Relation_OField(_u5387), _u5388)), hAPP(c_Relation_OField(_u5387), _u5389))) )).
% 39.89/40.13 cnf(matrix-2462, plain, ( ~class_Groups_Ocomm__monoid__add(_u5390) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5391), _u5392)) | ~hBOOL(hAPP(hAPP(c_member(_u5391), _u5393), _u5392)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5391, _u5390), _u5394), _u5392) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5390), hAPP(_u5394, _u5393)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5391, _u5390), _u5394), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5391, tc_HOL_Obool)), _u5392), hAPP(hAPP(c_Set_Oinsert(_u5391), _u5393), c_Orderings_Obot__class_Obot(tc_fun(_u5391, tc_HOL_Obool))))))) )).
% 39.89/40.13 cnf(matrix-2463, plain, ( ~class_Groups_Ocomm__monoid__add(_u5395) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5396), _u5397)) | ~hBOOL(hAPP(hAPP(c_member(_u5396), _u5398), _u5397)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5396, _u5395), _u5399), _u5397) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5395), hAPP(_u5399, _u5398)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5396, _u5395), _u5399), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5396, tc_HOL_Obool)), _u5397), hAPP(hAPP(c_Set_Oinsert(_u5396), _u5398), c_Orderings_Obot__class_Obot(tc_fun(_u5396, tc_HOL_Obool))))))) )).
% 39.89/40.13 cnf(matrix-2464, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u5401), _u5402), c_Map_Oran(_u5403, _u5401, c_Map_Orestrict__map(_u5403, _u5401, _u5404, _u5405)))) | hBOOL(hAPP(hAPP(c_member(_u5403), skolem115(_u5405, _u5404, _u5403, _u5402, _u5401)), _u5405)) )).
% 39.89/40.13 cnf(matrix-2465, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u5401), _u5402), c_Map_Oran(_u5403, _u5401, c_Map_Orestrict__map(_u5403, _u5401, _u5404, _u5405)))) | ( hAPP(_u5404, skolem115(_u5405, _u5404, _u5403, _u5402, _u5401)) = hAPP(c_Option_Ooption_OSome(_u5401), _u5402)) )).
% 39.89/40.13 cnf(matrix-2466, plain, ( ( hAPP(c_Map_Omap__add(_u5406, _u5407, _u5408, _u5409), _u5410) = hAPP(c_Option_Ooption_Ooption__case(tc_Option_Ooption(_u5407), _u5407, hAPP(_u5408, _u5410), c_Option_Ooption_OSome(_u5407)), hAPP(_u5409, _u5410))) )).
% 39.89/40.13 cnf(matrix-2467, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5411), _u5412)) | ( hAPP(c_Set_Oimage(_u5411, _u5413, _u5414), _u5412) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_fun(_u5413, tc_HOL_Obool), _u5411, c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5413, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u5411, tc_fun(_u5413, tc_HOL_Obool), tc_fun(_u5413, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(_u5413, tc_fun(tc_fun(_u5413, tc_HOL_Obool), tc_fun(_u5413, tc_HOL_Obool)), _u5411), c_Set_Oinsert(_u5413)), _u5414)), c_Orderings_Obot__class_Obot(tc_fun(_u5413, tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(_u5413, tc_HOL_Obool))), _u5412)) )).
% 39.89/40.13 cnf(matrix-2468, plain, ( ~class_Lattices_Oboolean__algebra(_u5415) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u5415), _u5416), _u5417) != c_Orderings_Obot__class_Obot(_u5415)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u5415), _u5416), _u5417) != c_Orderings_Otop__class_Otop(_u5415)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5415), _u5416) = _u5417) )).
% 39.89/40.13 cnf(matrix-2469, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5418), _u5419)) | ~hBOOL(hAPP(hAPP(c_member(_u5418), _u5420), _u5419)) | ~hBOOL(hAPP(hAPP(c_member(_u5418), _u5421), _u5419)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u5418), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5418, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5418, tc_HOL_Obool)), _u5419), hAPP(hAPP(c_Set_Oinsert(_u5418), _u5420), c_Orderings_Obot__class_Obot(tc_fun(_u5418, tc_HOL_Obool))))), hAPP(hAPP(c_Set_Oinsert(_u5418), _u5421), c_Orderings_Obot__class_Obot(tc_fun(_u5418, tc_HOL_Obool)))))), hAPP(c_Finite__Set_Ocard(_u5418), _u5419))) )).
% 39.89/40.13 cnf(matrix-2470, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5422), _u5423)) | ~hBOOL(hAPP(hAPP(c_member(_u5422), _u5424), _u5423)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u5422), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5422, tc_HOL_Obool)), _u5423), hAPP(hAPP(c_Set_Oinsert(_u5422), _u5424), c_Orderings_Obot__class_Obot(tc_fun(_u5422, tc_HOL_Obool)))))), hAPP(c_Finite__Set_Ocard(_u5422), _u5423))) )).
% 39.89/40.13 cnf(matrix-2471, plain, ( hBOOL(hAPP(hAPP(c_member(_u5425), _u5426), c_Orderings_Otop__class_Otop(tc_fun(_u5425, tc_HOL_Obool)))) )).
% 39.89/40.13 cnf(matrix-2472, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u5428)), c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(_u5428), tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u5428), c_Orderings_Otop__class_Otop(tc_fun(_u5428, tc_HOL_Obool)))) )).
% 39.89/40.13 cnf(matrix-2473, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5429), c_Orderings_Otop__class_Otop(tc_fun(_u5429, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u5429)), c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(_u5429), tc_HOL_Obool)))) )).
% 39.89/40.13 cnf(matrix-2474, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u5432, _u5434)), c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u5432, _u5434), tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u5432), c_Orderings_Otop__class_Otop(tc_fun(_u5432, tc_HOL_Obool)))) )).
% 39.89/40.13 cnf(matrix-2475, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u5432, _u5434)), c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u5432, _u5434), tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u5434), c_Orderings_Otop__class_Otop(tc_fun(_u5434, tc_HOL_Obool)))) )).
% 39.89/40.13 cnf(matrix-2476, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5433), c_Orderings_Otop__class_Otop(tc_fun(_u5433, tc_HOL_Obool)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5435), c_Orderings_Otop__class_Otop(tc_fun(_u5435, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u5433, _u5435)), c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u5433, _u5435), tc_HOL_Obool)))) )).
% 39.89/40.13 cnf(matrix-2477, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5436), c_Orderings_Otop__class_Otop(tc_fun(_u5436, tc_HOL_Obool)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5437), c_Orderings_Otop__class_Otop(tc_fun(_u5437, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u5436, _u5437)), c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u5436, _u5437), tc_HOL_Obool)))) )).
% 39.89/40.13 cnf(matrix-2478, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5438), c_Orderings_Otop__class_Otop(tc_fun(_u5438, tc_HOL_Obool)))) | ( hAPP(c_Finite__Set_Ocard(_u5438), _u5439) != hAPP(c_Finite__Set_Ocard(_u5438), c_Orderings_Otop__class_Otop(tc_fun(_u5438, tc_HOL_Obool)))) | ( _u5439 = c_Orderings_Otop__class_Otop(tc_fun(_u5438, tc_HOL_Obool))) )).
% 39.89/40.13 cnf(matrix-2479, plain, ( ( hAPP(c_Set_OPow(_u5440), c_Orderings_Otop__class_Otop(tc_fun(_u5440, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u5440, tc_HOL_Obool), tc_HOL_Obool))) )).
% 39.89/40.13 cnf(matrix-2480, plain, ( ~class_Groups_Oab__semigroup__add(_u5441) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5441), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5441), _u5442), _u5443)), _u5444) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5441), _u5442), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5441), _u5443), _u5444))) )).
% 39.89/40.13 cnf(matrix-2481, plain, ( ~class_Groups_Ocancel__semigroup__add(_u5445) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5445), _u5446), _u5447) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5445), _u5446), _u5448)) | ( _u5447 = _u5448) )).
% 39.89/40.13 cnf(matrix-2482, plain, ( ~class_Groups_Ocancel__semigroup__add(_u5445) | ( _u5447 != _u5448) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5445), _u5446), _u5447) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5445), _u5446), _u5448)) )).
% 39.89/40.13 cnf(matrix-2483, plain, ( ~class_Groups_Ocancel__semigroup__add(_u5449) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5449), _u5450), _u5451) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5449), _u5452), _u5451)) | ( _u5450 = _u5452) )).
% 39.89/40.13 cnf(matrix-2484, plain, ( ~class_Groups_Ocancel__semigroup__add(_u5449) | ( _u5450 != _u5452) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5449), _u5450), _u5451) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5449), _u5452), _u5451)) )).
% 39.89/40.13 cnf(matrix-2485, plain, ( ~class_Groups_Ocancel__semigroup__add(_u5453) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5453), _u5454), _u5455) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5453), _u5454), _u5456)) | ( _u5455 = _u5456) )).
% 39.89/40.13 cnf(matrix-2486, plain, ( ~class_Groups_Ocancel__ab__semigroup__add(_u5457) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5457), _u5458), _u5459) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5457), _u5458), _u5460)) | ( _u5459 = _u5460) )).
% 39.89/40.13 cnf(matrix-2487, plain, ( ~class_Groups_Ocancel__semigroup__add(_u5461) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5461), _u5462), _u5463) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5461), _u5464), _u5463)) | ( _u5462 = _u5464) )).
% 39.89/40.13 cnf(matrix-2488, plain, ( ~class_Orderings_Otop(_u5465) | ( hAPP(c_Orderings_Otop__class_Otop(tc_fun(_u5466, _u5465)), _u5467) = c_Orderings_Otop__class_Otop(_u5465)) )).
% 39.89/40.13 cnf(matrix-2489, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u5468) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5468), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5468), _u5469), _u5470)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5468), _u5471), _u5470))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5468), _u5469), _u5471)) )).
% 39.89/40.13 cnf(matrix-2490, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u5468) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5468), _u5469), _u5471)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5468), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5468), _u5469), _u5470)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5468), _u5471), _u5470))) )).
% 39.89/40.13 cnf(matrix-2491, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u5472) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5472), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5472), _u5473), _u5474)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5472), _u5473), _u5475))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5472), _u5474), _u5475)) )).
% 39.89/40.13 cnf(matrix-2492, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u5472) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5472), _u5474), _u5475)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5472), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5472), _u5473), _u5474)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5472), _u5473), _u5475))) )).
% 39.89/40.13 cnf(matrix-2493, plain, ( ~class_Groups_Oordered__ab__semigroup__add(_u5476) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5476), _u5477), _u5478)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5476), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5476), _u5477), _u5479)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5476), _u5478), _u5479))) )).
% 39.89/40.13 cnf(matrix-2494, plain, ( ~class_Groups_Oordered__ab__semigroup__add(_u5480) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5480), _u5481), _u5482)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5480), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5480), _u5483), _u5481)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5480), _u5483), _u5482))) )).
% 39.89/40.13 cnf(matrix-2495, plain, ( ~class_Groups_Oordered__ab__semigroup__add(_u5484) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5484), _u5485), _u5486)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5484), _u5487), _u5488)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5484), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5484), _u5485), _u5487)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5484), _u5486), _u5488))) )).
% 39.89/40.13 cnf(matrix-2496, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u5489) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5489), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5489), _u5490), _u5491)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5489), _u5492), _u5491))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5489), _u5490), _u5492)) )).
% 39.89/40.13 cnf(matrix-2497, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u5493) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5493), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5493), _u5494), _u5495)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5493), _u5494), _u5496))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5493), _u5495), _u5496)) )).
% 39.89/40.13 cnf(matrix-2498, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u5497) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5497), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5497), _u5498), _u5499)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5497), _u5498), _u5500))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5497), _u5499), _u5500)) )).
% 39.89/40.13 cnf(matrix-2499, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u5501) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5501), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5501), _u5502), _u5503)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5501), _u5504), _u5503))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5501), _u5502), _u5504)) )).
% 39.89/40.13 cnf(matrix-2500, plain, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u5505) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5505), _u5506), _u5507)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5505), _u5508), _u5509)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5505), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5505), _u5506), _u5508)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5505), _u5507), _u5509))) )).
% 39.89/40.13 cnf(matrix-2501, plain, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u5510) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5510), _u5511), _u5512)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5510), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5510), _u5513), _u5511)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5510), _u5513), _u5512))) )).
% 39.89/40.13 cnf(matrix-2502, plain, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u5514) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5514), _u5515), _u5516)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5514), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5514), _u5515), _u5517)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5514), _u5516), _u5517))) )).
% 39.89/40.13 cnf(matrix-2503, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u5518) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5518), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5518), _u5519), _u5520)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5518), _u5519), _u5521))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5518), _u5520), _u5521)) )).
% 39.89/40.13 cnf(matrix-2504, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u5518) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5518), _u5520), _u5521)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5518), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5518), _u5519), _u5520)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5518), _u5519), _u5521))) )).
% 39.89/40.13 cnf(matrix-2505, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u5522) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5522), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5522), _u5523), _u5524)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5522), _u5525), _u5524))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5522), _u5523), _u5525)) )).
% 39.89/40.13 cnf(matrix-2506, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u5522) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5522), _u5523), _u5525)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5522), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5522), _u5523), _u5524)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5522), _u5525), _u5524))) )).
% 39.89/40.13 cnf(matrix-2507, plain, ( ~class_Groups_Ogroup__add(_u5526) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5526), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5526), _u5527), _u5528)), _u5528) = _u5527) )).
% 39.89/40.13 cnf(matrix-2508, plain, ( ~class_Groups_Ogroup__add(_u5529) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5529), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5529), _u5530), _u5531)), _u5531) = _u5530) )).
% 39.89/40.13 cnf(matrix-2509, plain, ( ~class_Groups_Oab__group__add(_u5532) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5532), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5532), _u5533), _u5534)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5532), hAPP(c_Groups_Ouminus__class_Ouminus(_u5532), _u5533)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5532), _u5534))) )).
% 39.89/40.13 cnf(matrix-2510, plain, ( ~class_Groups_Ogroup__add(_u5535) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5535), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5535), _u5536), _u5537)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5535), hAPP(c_Groups_Ouminus__class_Ouminus(_u5535), _u5537)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5535), _u5536))) )).
% 39.89/40.13 cnf(matrix-2511, plain, ( ~class_Groups_Ogroup__add(_u5538) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5538), _u5539), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5538), hAPP(c_Groups_Ouminus__class_Ouminus(_u5538), _u5539)), _u5540)) = _u5540) )).
% 39.89/40.13 cnf(matrix-2512, plain, ( ~class_Groups_Ogroup__add(_u5541) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5541), hAPP(c_Groups_Ouminus__class_Ouminus(_u5541), _u5542)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5541), _u5542), _u5543)) = _u5543) )).
% 39.89/40.13 cnf(matrix-2513, plain, ( hBOOL(hAPP(hAPP(c_member(_u5544), _u5545), c_Orderings_Otop__class_Otop(tc_fun(_u5544, tc_HOL_Obool)))) )).
% 39.89/40.13 cnf(matrix-2514, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u5547), c_Orderings_Otop__class_Otop(tc_fun(_u5547, tc_HOL_Obool)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u5546, _u5547)), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u5546, _u5547), tc_HOL_Obool)))) )).
% 39.89/40.13 cnf(matrix-2515, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5548), _u5549)), _u5548)) )).
% 39.89/40.13 cnf(matrix-2516, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5550), _u5551)), _u5551)) )).
% 39.89/40.13 cnf(matrix-2517, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5557), _u5559)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5555), _u5557)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5555), _u5559))) )).
% 39.89/40.13 cnf(matrix-2518, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5558), _u5560)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5556), _u5558)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5556), _u5560))) )).
% 39.89/40.13 cnf(matrix-2519, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5561), _u5562)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5561), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5562), _u5563))) )).
% 39.89/40.13 cnf(matrix-2520, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5564), _u5565)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5564), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5566), _u5565))) )).
% 39.89/40.13 cnf(matrix-2521, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5567), _u5568)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5567), _u5569)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5568), _u5569))) )).
% 39.89/40.13 cnf(matrix-2522, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5570), _u5571)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5572), _u5573)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5570), _u5572)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5571), _u5573))) )).
% 39.89/40.13 cnf(matrix-2523, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5574), _u5575)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5576), _u5575) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5574), _u5577)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5576), _u5577)) )).
% 39.89/40.13 cnf(matrix-2524, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5578), _u5579)), _u5580)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5578), _u5580)) )).
% 39.89/40.13 cnf(matrix-2525, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5581), _u5582)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5581), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5582), _u5583))) )).
% 39.89/40.13 cnf(matrix-2526, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5584), _u5585)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5584), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5586), _u5585))) )).
% 39.89/40.13 cnf(matrix-2527, plain, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u5587, tc_HOL_Obool)) != c_Orderings_Obot__class_Obot(tc_fun(_u5587, tc_HOL_Obool))) )).
% 39.89/40.13 cnf(matrix-2528, plain, ( ~class_Finite__Set_Ofinite(_u5588) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u5588), c_Orderings_Otop__class_Otop(tc_fun(_u5588, tc_HOL_Obool)))) )).
% 39.89/40.13 cnf(matrix-2529, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5589), _u5590)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5589), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5590), _u5591))) )).
% 39.89/40.13 cnf(matrix-2530, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5592), _u5593)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5592), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5594), _u5593))) )).
% 39.89/40.13 cnf(matrix-2531, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5595), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5596), _u5595))) )).
% 39.89/40.13 cnf(matrix-2532, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5597), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5597), _u5598))) )).
% 39.89/40.13 cnf(matrix-2533, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5603), _u5605)) | ( _u5605 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5603), skolem116(_u5605, _u5603))) )).
% 39.89/40.13 cnf(matrix-2534, plain, ( ( _u5606 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5604), _u5600)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5604), _u5606)) )).
% 39.89/40.13 cnf(matrix-2535, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5612), _u5614)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5610), _u5612)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5610), _u5614))) )).
% 39.89/40.13 cnf(matrix-2536, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5613), _u5615)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5611), _u5613)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5611), _u5615))) )).
% 39.89/40.13 cnf(matrix-2537, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5616), _u5617)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5616), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5617), _u5618))) )).
% 39.89/40.13 cnf(matrix-2538, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5619), _u5620)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5619), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5621), _u5620))) )).
% 39.89/40.13 cnf(matrix-2539, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5622), _u5623)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5622), _u5624)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5623), _u5624))) )).
% 39.89/40.13 cnf(matrix-2540, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5625), _u5626)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5627), _u5628)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5625), _u5627)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5626), _u5628))) )).
% 39.89/40.13 cnf(matrix-2541, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5630), _u5631)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5629), _u5630)), _u5631)) )).
% 39.89/40.13 cnf(matrix-2542, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5632), _u5633)), _u5634)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5632), _u5634)) )).
% 39.89/40.13 cnf(matrix-2543, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5635), _u5636)), _u5637)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5635), _u5637)) )).
% 39.89/40.13 cnf(matrix-2544, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5635), _u5636)), _u5637)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5636), _u5637)) )).
% 39.89/40.13 cnf(matrix-2545, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5638, tc_HOL_Obool)), _u5639), c_Orderings_Otop__class_Otop(tc_fun(_u5638, tc_HOL_Obool)))) )).
% 39.89/40.13 cnf(matrix-2546, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5640), _u5641)), _u5641) = _u5640) )).
% 39.89/40.13 cnf(matrix-2547, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5642), _u5643)), _u5642) = _u5643) )).
% 39.89/40.13 cnf(matrix-2548, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5644), _u5645)), _u5646) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5644), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5645), _u5646))) )).
% 39.89/40.13 cnf(matrix-2549, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5647), _u5648)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5647), _u5649)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5648), _u5649)) )).
% 39.89/40.13 cnf(matrix-2550, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5650), _u5651)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5652), _u5651)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5650), _u5652)) )).
% 39.89/40.13 cnf(matrix-2551, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5653, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u5653, tc_HOL_Obool))), _u5654) = c_Orderings_Otop__class_Otop(tc_fun(_u5653, tc_HOL_Obool))) )).
% 39.89/40.13 cnf(matrix-2552, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5655, tc_HOL_Obool)), _u5656), c_Orderings_Otop__class_Otop(tc_fun(_u5655, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u5655, tc_HOL_Obool))) )).
% 39.89/40.13 cnf(matrix-2553, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5657, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u5657, tc_HOL_Obool))), _u5658) = _u5658) )).
% 39.89/40.13 cnf(matrix-2554, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5659, tc_HOL_Obool)), _u5660), c_Orderings_Otop__class_Otop(tc_fun(_u5659, tc_HOL_Obool))) = _u5660) )).
% 39.89/40.13 cnf(matrix-2555, plain, ( ~c_Fun_Oinj__on(_u5661, _u5662, _u5663, c_Orderings_Otop__class_Otop(tc_fun(_u5661, tc_HOL_Obool))) | ( hAPP(_u5663, _u5664) != hAPP(_u5663, _u5665)) | ( _u5664 = _u5665) )).
% 39.89/40.13 cnf(matrix-2556, plain, ( ~c_Fun_Oinj__on(_u5661, _u5662, _u5663, c_Orderings_Otop__class_Otop(tc_fun(_u5661, tc_HOL_Obool))) | ( _u5664 != _u5665) | ( hAPP(_u5663, _u5664) = hAPP(_u5663, _u5665)) )).
% 39.89/40.13 cnf(matrix-2557, plain, ( ( hAPP(_u5668, _u5669) != hAPP(_u5668, _u5670)) | ( _u5669 = _u5670) | ~c_Fun_Oinj__on(_u5666, _u5667, _u5668, c_Orderings_Otop__class_Otop(tc_fun(_u5666, tc_HOL_Obool))) )).
% 39.89/40.13 cnf(matrix-2558, plain, ( ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5671, _u5672, _u5673), _u5674), _u5675), c_Orderings_Obot__class_Obot(tc_fun(_u5672, tc_HOL_Obool))) = _u5675) )).
% 39.89/40.13 cnf(matrix-2559, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5676), _u5677)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5676), _u5678)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u5676), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5676, tc_HOL_Obool)), _u5677), _u5678))), hAPP(c_Finite__Set_Ocard(_u5676), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5676, tc_HOL_Obool)), _u5677), _u5678))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u5676), _u5677)), hAPP(c_Finite__Set_Ocard(_u5676), _u5678))) )).
% 39.89/40.13 cnf(matrix-2560, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5679), _u5680)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5679), _u5681)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u5679), _u5680)), hAPP(c_Finite__Set_Ocard(_u5679), _u5681)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u5679), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5679, tc_HOL_Obool)), _u5680), _u5681))), hAPP(c_Finite__Set_Ocard(_u5679), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5679, tc_HOL_Obool)), _u5680), _u5681)))) )).
% 39.89/40.13 cnf(matrix-2561, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 39.89/40.13 cnf(matrix-2562, plain, ( ~class_Groups_Ocomm__monoid__add(_u5682) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5683, _u5682), hAPP(hAPP(c_COMBS(_u5683, _u5682, _u5682), hAPP(hAPP(c_COMBB(_u5682, tc_fun(_u5682, _u5682), _u5683), c_Groups_Oplus__class_Oplus(_u5682)), _u5684)), _u5685)), _u5686) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5682), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5683, _u5682), _u5684), _u5686)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5683, _u5682), _u5685), _u5686))) )).
% 39.89/40.13 cnf(matrix-2563, plain, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u5687, tc_HOL_Obool)) = hAPP(c_Set_OCollect(_u5687), hAPP(c_COMBK(tc_HOL_Obool, _u5687), c_fTrue))) )).
% 39.89/40.13 cnf(matrix-2564, plain, ( ( hAPP(c_Set_Oimage(_u5688, _u5689, hAPP(hAPP(c_COMBB(_u5690, _u5689, _u5688), _u5691), _u5692)), c_Orderings_Otop__class_Otop(tc_fun(_u5688, tc_HOL_Obool))) = hAPP(c_Set_Oimage(_u5690, _u5689, _u5691), hAPP(c_Set_Oimage(_u5688, _u5690, _u5692), c_Orderings_Otop__class_Otop(tc_fun(_u5688, tc_HOL_Obool))))) )).
% 39.89/40.13 cnf(matrix-2565, plain, ( ~class_Orderings_Otop(_u5693) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5693), _u5694), c_Orderings_Otop__class_Otop(_u5693))) )).
% 39.89/40.13 cnf(matrix-2566, plain, ( ~class_Lattices_Obounded__lattice__top(_u5695) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u5695), _u5696), c_Orderings_Otop__class_Otop(_u5695)) = c_Orderings_Otop__class_Otop(_u5695)) )).
% 39.89/40.13 cnf(matrix-2567, plain, ( ~class_Lattices_Obounded__lattice__top(_u5697) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u5697), c_Orderings_Otop__class_Otop(_u5697)), _u5698) = c_Orderings_Otop__class_Otop(_u5697)) )).
% 39.89/40.13 cnf(matrix-2568, plain, ( ~class_Lattices_Obounded__lattice__top(_u5699) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u5699), c_Orderings_Otop__class_Otop(_u5699)), _u5700) = _u5700) )).
% 39.89/40.13 cnf(matrix-2569, plain, ( ~class_Lattices_Obounded__lattice__top(_u5701) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u5701), _u5702), c_Orderings_Otop__class_Otop(_u5701)) = _u5702) )).
% 39.89/40.13 cnf(matrix-2570, plain, ( ~class_Lattices_Obounded__lattice__top(_u5703) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u5703), _u5704), _u5705) != c_Orderings_Otop__class_Otop(_u5703)) | ( _u5704 = c_Orderings_Otop__class_Otop(_u5703)) )).
% 39.89/40.13 cnf(matrix-2571, plain, ( ~class_Lattices_Obounded__lattice__top(_u5703) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u5703), _u5704), _u5705) != c_Orderings_Otop__class_Otop(_u5703)) | ( _u5705 = c_Orderings_Otop__class_Otop(_u5703)) )).
% 39.89/40.13 cnf(matrix-2572, plain, ( ~class_Lattices_Obounded__lattice__top(_u5703) | ( _u5704 != c_Orderings_Otop__class_Otop(_u5703)) | ( _u5705 != c_Orderings_Otop__class_Otop(_u5703)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u5703), _u5704), _u5705) = c_Orderings_Otop__class_Otop(_u5703)) )).
% 39.89/40.13 cnf(matrix-2573, plain, ( ( c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(_u5706), tc_HOL_Obool)) = hAPP(hAPP(c_Set_Oinsert(tc_Option_Ooption(_u5706)), c_Option_Ooption_ONone(_u5706)), hAPP(c_Set_Oimage(_u5706, tc_Option_Ooption(_u5706), c_Option_Ooption_OSome(_u5706)), c_Orderings_Otop__class_Otop(tc_fun(_u5706, tc_HOL_Obool))))) )).
% 39.89/40.13 cnf(matrix-2574, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5707), _u5708)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5707), _u5709)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5707, tc_HOL_Obool)), _u5708), _u5709) != c_Orderings_Obot__class_Obot(tc_fun(_u5707, tc_HOL_Obool))) | ( hAPP(c_Finite__Set_Ocard(_u5707), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5707, tc_HOL_Obool)), _u5708), _u5709)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u5707), _u5708)), hAPP(c_Finite__Set_Ocard(_u5707), _u5709))) )).
% 39.89/40.13 cnf(matrix-2575, plain, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u5710) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5710), _u5711), _u5712)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5710), _u5713), _u5714)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5710), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5710), _u5711), _u5713)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5710), _u5712), _u5714))) )).
% 39.89/40.13 cnf(matrix-2576, plain, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u5715) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5715), _u5716), _u5717)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5715), _u5718), _u5719)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5715), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5715), _u5716), _u5718)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5715), _u5717), _u5719))) )).
% 39.89/40.13 cnf(matrix-2577, plain, ( ~c_Fun_Oinj__on(_u5720, _u5721, _u5722, _u5723) | ( hAPP(c_Finite__Set_Ocard(_u5721), hAPP(c_Set_Oimage(_u5720, _u5721, _u5722), _u5723)) = hAPP(c_Finite__Set_Ocard(_u5720), _u5723)) )).
% 39.89/40.13 cnf(matrix-2578, plain, ( ~class_Groups_Ogroup__add(_u5724) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5724), _u5725), hAPP(c_Groups_Ouminus__class_Ouminus(_u5724), _u5726)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5724), _u5725), _u5726)) )).
% 39.89/40.13 cnf(matrix-2579, plain, ( ~class_Groups_Oab__group__add(_u5727) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5727), _u5728), _u5729) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5727), _u5728), hAPP(c_Groups_Ouminus__class_Ouminus(_u5727), _u5729))) )).
% 39.89/40.13 cnf(matrix-2580, plain, ( ~class_Groups_Ogroup__add(_u5730) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5730), _u5731), _u5732) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5730), _u5731), hAPP(c_Groups_Ouminus__class_Ouminus(_u5730), _u5732))) )).
% 39.89/40.13 cnf(matrix-2581, plain, ( hBOOL(hAPP(hAPP(c_member(_u5733), hAPP(_u5734, _u5735)), hAPP(c_Set_Oimage(_u5736, _u5733, _u5734), c_Orderings_Otop__class_Otop(tc_fun(_u5736, tc_HOL_Obool))))) )).
% 39.89/40.13 cnf(matrix-2582, plain, ( ( _u5737 != hAPP(_u5738, _u5739)) | hBOOL(hAPP(hAPP(c_member(_u5740), _u5737), hAPP(c_Set_Oimage(_u5741, _u5740, _u5738), c_Orderings_Otop__class_Otop(tc_fun(_u5741, tc_HOL_Obool))))) )).
% 39.89/40.13 cnf(matrix-2583, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5745), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5747), _u5749))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5745), _u5749)), _u5747)) )).
% 39.89/40.13 cnf(matrix-2584, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5746), _u5750)), _u5748)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5746), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5748), _u5750))) )).
% 39.89/40.13 cnf(matrix-2585, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5751), _u5752)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5752), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5751), _u5752)) = _u5751) )).
% 39.89/40.13 cnf(matrix-2586, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5753), _u5754)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5754), _u5755)), _u5753) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5754), _u5753)), _u5755)) )).
% 39.89/40.13 cnf(matrix-2587, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5756), _u5757)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5757), _u5756)), _u5758) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5757), _u5758)), _u5756)) )).
% 39.89/40.13 cnf(matrix-2588, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5759), _u5760)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5761), _u5760)), _u5759) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5761), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5760), _u5759))) )).
% 39.89/40.13 cnf(matrix-2589, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5762), _u5763)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5763), _u5762) != _u5764) | ( _u5763 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5764), _u5762)) )).
% 39.89/40.13 cnf(matrix-2590, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5762), _u5763)) | ( _u5763 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5764), _u5762)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5763), _u5762) = _u5764) )).
% 39.89/40.13 cnf(matrix-2591, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5765), _u5766)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5766), _u5765)), _u5765) = _u5766) )).
% 39.89/40.13 cnf(matrix-2592, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5767), _u5768)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5769), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5768), _u5767))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5769), _u5767)), _u5768)) )).
% 39.89/40.13 cnf(matrix-2593, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5767), _u5768)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5769), _u5767)), _u5768)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5769), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5768), _u5767))) )).
% 39.89/40.13 cnf(matrix-2594, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5770), _u5771)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5772), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5771), _u5770)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5772), _u5771)), _u5770)) )).
% 39.89/40.13 cnf(matrix-2595, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5773), _u5774)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5773), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5774), _u5773)) = _u5774) )).
% 39.89/40.13 cnf(matrix-2596, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5775), _u5776)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5777), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5776), _u5777)), _u5775))) )).
% 39.89/40.13 cnf(matrix-2597, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5781), _u5783)), _u5785)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5781), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5785), _u5783))) )).
% 39.89/40.13 cnf(matrix-2598, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5782), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5786), _u5784))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5782), _u5784)), _u5786)) )).
% 39.89/40.13 cnf(matrix-2599, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5787), _u5788)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5789), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5788), _u5787)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5789), _u5787)), _u5788)) )).
% 39.89/40.13 cnf(matrix-2600, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5790, tc_HOL_Obool)), _u5791), c_Orderings_Otop__class_Otop(tc_fun(_u5790, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u5790, tc_HOL_Obool))) )).
% 39.89/40.13 cnf(matrix-2601, plain, ( ( hAPP(c_Set_Oimage(_u5792, _u5793, _u5794), c_Orderings_Otop__class_Otop(tc_fun(_u5792, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u5793, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u5793, _u5795, _u5796), c_Orderings_Otop__class_Otop(tc_fun(_u5793, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u5795, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u5792, _u5795, hAPP(c_Fun_Ocomp(_u5793, _u5795, _u5792, _u5796), _u5794)), c_Orderings_Otop__class_Otop(tc_fun(_u5792, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u5795, tc_HOL_Obool))) )).
% 39.89/40.13 cnf(matrix-2602, plain, ( ~c_Fun_Oinj__on(_u5797, _u5798, _u5799, c_Orderings_Otop__class_Otop(tc_fun(_u5797, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u5797, _u5798, _u5799), _u5800) != hAPP(c_Set_Oimage(_u5797, _u5798, _u5799), _u5801)) | ( _u5800 = _u5801) )).
% 39.89/40.13 cnf(matrix-2603, plain, ( ~c_Fun_Oinj__on(_u5797, _u5798, _u5799, c_Orderings_Otop__class_Otop(tc_fun(_u5797, tc_HOL_Obool))) | ( _u5800 != _u5801) | ( hAPP(c_Set_Oimage(_u5797, _u5798, _u5799), _u5800) = hAPP(c_Set_Oimage(_u5797, _u5798, _u5799), _u5801)) )).
% 39.89/40.13 cnf(matrix-2604, plain, ( ~c_Fun_Oinj__on(_u5802, _u5803, _u5804, c_Orderings_Otop__class_Otop(tc_fun(_u5802, tc_HOL_Obool))) | ~c_Fun_Oinj__on(_u5805, _u5802, _u5806, c_Orderings_Otop__class_Otop(tc_fun(_u5805, tc_HOL_Obool))) | c_Fun_Oinj__on(_u5805, _u5803, hAPP(c_Fun_Ocomp(_u5802, _u5803, _u5805, _u5804), _u5806), c_Orderings_Otop__class_Otop(tc_fun(_u5805, tc_HOL_Obool))) )).
% 39.89/40.13 cnf(matrix-2605, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5807, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u5807, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u5807, tc_HOL_Obool))) )).
% 39.89/40.13 cnf(matrix-2606, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5808, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u5808, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u5808, tc_HOL_Obool))) )).
% 39.89/40.13 cnf(matrix-2607, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5809), _u5810)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5809), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5809, tc_HOL_Obool)), _u5810))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u5809), c_Orderings_Otop__class_Otop(tc_fun(_u5809, tc_HOL_Obool)))) )).
% 39.89/40.13 cnf(matrix-2608, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5809), _u5810)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5809), c_Orderings_Otop__class_Otop(tc_fun(_u5809, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u5809), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5809, tc_HOL_Obool)), _u5810))) )).
% 39.89/40.13 cnf(matrix-2609, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5811, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5811, tc_HOL_Obool)), _u5812)), _u5812) = c_Orderings_Otop__class_Otop(tc_fun(_u5811, tc_HOL_Obool))) )).
% 39.89/40.13 cnf(matrix-2610, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5813, tc_HOL_Obool)), _u5814), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5813, tc_HOL_Obool)), _u5814)) = c_Orderings_Otop__class_Otop(tc_fun(_u5813, tc_HOL_Obool))) )).
% 39.89/40.13 cnf(matrix-2611, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5815, tc_HOL_Obool)), _u5816) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5815, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u5815, tc_HOL_Obool))), _u5816)) )).
% 39.89/40.13 cnf(matrix-2612, plain, ( ~class_Groups_Ocomm__monoid__add(_u5817) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5818), _u5819)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5818, _u5817), hAPP(hAPP(c_COMBS(_u5818, _u5817, _u5817), hAPP(hAPP(c_COMBB(_u5817, tc_fun(_u5817, _u5817), _u5818), c_Groups_Oplus__class_Oplus(_u5817)), _u5820)), _u5821)), _u5819) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5817), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5818, _u5817), _u5820), _u5819)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5818, _u5817), _u5821), _u5819))) )).
% 39.89/40.13 cnf(matrix-2613, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5822), hAPP(c_Set_OCollect(_u5822), _u5823))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5822), hAPP(c_Set_OCollect(_u5822), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u5822), c_fNot), _u5823)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u5822), c_Orderings_Otop__class_Otop(tc_fun(_u5822, tc_HOL_Obool)))) )).
% 39.89/40.13 cnf(matrix-2614, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5822), hAPP(c_Set_OCollect(_u5822), _u5823))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5822), c_Orderings_Otop__class_Otop(tc_fun(_u5822, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u5822), hAPP(c_Set_OCollect(_u5822), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u5822), c_fNot), _u5823)))) )).
% 39.89/40.13 cnf(matrix-2615, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5828, tc_fun(_u5830, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u5828, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u5830, tc_HOL_Obool), tc_fun(_u5830, tc_HOL_Obool), _u5828), hAPP(c_COMBC(_u5830, tc_fun(_u5830, tc_HOL_Obool), tc_HOL_Obool), c_member(_u5830))), _u5832)), _u5834)) | hBOOL(hAPP(hAPP(c_member(_u5830), _u5834), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5828, tc_fun(_u5830, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u5828, tc_HOL_Obool))), _u5832))) )).
% 39.89/40.13 cnf(matrix-2616, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u5831), _u5835), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5829, tc_fun(_u5831, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u5829, tc_HOL_Obool))), _u5833))) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5829, tc_fun(_u5831, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u5829, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u5831, tc_HOL_Obool), tc_fun(_u5831, tc_HOL_Obool), _u5829), hAPP(c_COMBC(_u5831, tc_fun(_u5831, tc_HOL_Obool), tc_HOL_Obool), c_member(_u5831))), _u5833)), _u5835)) )).
% 39.89/40.13 cnf(matrix-2617, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5836), hAPP(c_Set_Oimage(_u5837, _u5836, _u5838), c_Orderings_Otop__class_Otop(tc_fun(_u5837, tc_HOL_Obool))))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u5839), hAPP(c_Set_Oimage(_u5837, _u5839, hAPP(hAPP(c_COMBB(_u5836, _u5839, _u5837), _u5840), _u5838)), c_Orderings_Otop__class_Otop(tc_fun(_u5837, tc_HOL_Obool))))) )).
% 39.89/40.13 cnf(matrix-2618, plain, ( ~c_Fun_Oinj__on(_u5841, _u5842, _u5843, c_Orderings_Otop__class_Otop(tc_fun(_u5841, tc_HOL_Obool))) | ( hAPP(c_Fun_Othe__inv__into(_u5841, _u5842, c_Orderings_Otop__class_Otop(tc_fun(_u5841, tc_HOL_Obool)), _u5843), hAPP(_u5843, _u5844)) = _u5844) )).
% 39.89/40.13 cnf(matrix-2619, plain, ( ~c_Finite__Set_Ofolding__image__simple(_u5845, _u5846, _u5847, _u5848, _u5849, _u5850) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5846), _u5851)) | ( hAPP(_u5850, _u5851) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5845, _u5846, _u5847), _u5849), _u5848), _u5851)) )).
% 39.89/40.13 cnf(matrix-2620, plain, ( ~c_Finite__Set_Ofolding__image(_u5852, _u5853, _u5854, _u5855, _u5856) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5853), _u5857)) | ( hAPP(hAPP(_u5856, _u5858), _u5857) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5852, _u5853, _u5854), _u5858), _u5855), _u5857)) )).
% 39.89/40.13 cnf(matrix-2621, plain, ( ( c_Map_Odom(_u5859, _u5860, hAPP(hAPP(c_COMBB(_u5860, tc_Option_Ooption(_u5860), _u5859), c_Option_Ooption_OSome(_u5860)), _u5861)) = c_Orderings_Otop__class_Otop(tc_fun(_u5859, tc_HOL_Obool))) )).
% 39.89/40.13 cnf(matrix-2622, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5862), _u5863)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u5862), _u5863)), hAPP(c_Finite__Set_Ocard(_u5862), hAPP(hAPP(c_Set_Oinsert(_u5862), _u5864), _u5863)))) )).
% 39.89/40.13 cnf(matrix-2623, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5865), _u5866)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5865, tc_HOL_Obool)), _u5867), _u5866)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u5865), _u5867)), hAPP(c_Finite__Set_Ocard(_u5865), _u5866))) )).
% 39.89/40.13 cnf(matrix-2624, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5868), _u5869)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5868, tc_HOL_Obool)), _u5870), _u5869)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u5868), _u5869)), hAPP(c_Finite__Set_Ocard(_u5868), _u5870))) | ( _u5870 = _u5869) )).
% 39.89/40.13 cnf(matrix-2625, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5871), _u5872)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u5873), hAPP(c_Set_Oimage(_u5871, _u5873, _u5874), _u5872))), hAPP(c_Finite__Set_Ocard(_u5871), _u5872))) )).
% 39.89/40.13 cnf(matrix-2626, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5875), _u5876)) | ( hAPP(c_Finite__Set_Ocard(_u5877), hAPP(c_Set_Oimage(_u5875, _u5877, _u5878), _u5876)) != hAPP(c_Finite__Set_Ocard(_u5875), _u5876)) | c_Fun_Oinj__on(_u5875, _u5877, _u5878, _u5876) )).
% 39.89/40.13 cnf(matrix-2627, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5879), _u5880)) | ~c_Fun_Oinj__on(_u5879, _u5881, _u5882, _u5880) | ( hAPP(c_Finite__Set_Ocard(_u5881), hAPP(c_Set_Oimage(_u5879, _u5881, _u5882), _u5880)) = hAPP(c_Finite__Set_Ocard(_u5879), _u5880)) )).
% 39.89/40.13 cnf(matrix-2628, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5879), _u5880)) | ( hAPP(c_Finite__Set_Ocard(_u5881), hAPP(c_Set_Oimage(_u5879, _u5881, _u5882), _u5880)) != hAPP(c_Finite__Set_Ocard(_u5879), _u5880)) | c_Fun_Oinj__on(_u5879, _u5881, _u5882, _u5880) )).
% 39.89/40.13 cnf(matrix-2629, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u5883), hAPP(c_Set_Oimage(_u5884, _u5883, _u5885), _u5886))), hAPP(c_Finite__Set_Ocard(_u5884), _u5886))) | ~c_Fun_Oinj__on(_u5884, _u5883, _u5885, _u5886) )).
% 39.89/40.13 cnf(matrix-2630, plain, ( ~c_Fun_Oinj__on(_u5887, _u5888, _u5889, c_Orderings_Otop__class_Otop(tc_fun(_u5887, tc_HOL_Obool))) | c_Fun_Oinj__on(_u5887, tc_fun(_u5890, _u5888), hAPP(hAPP(c_COMBB(_u5888, tc_fun(_u5890, _u5888), _u5887), c_COMBK(_u5888, _u5890)), _u5889), c_Orderings_Otop__class_Otop(tc_fun(_u5887, tc_HOL_Obool))) )).
% 39.89/40.13 cnf(matrix-2631, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5891), _u5892)) | ~c_Fun_Oinj__on(_u5891, tc_fun(tc_fun(_u5891, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u5891, tc_fun(tc_prod(_u5891, _u5891), tc_HOL_Obool), tc_fun(tc_fun(_u5891, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5891, tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u5891, _u5891), tc_HOL_Obool), tc_fun(tc_fun(_u5891, tc_HOL_Obool), tc_HOL_Obool)), _u5891), c_Equiv__Relations_Oquotient(_u5891)), hAPP(hAPP(c_COMBC(_u5891, tc_fun(_u5891, tc_HOL_Obool), tc_fun(_u5891, tc_HOL_Obool)), c_Set_Oinsert(_u5891)), c_Orderings_Obot__class_Obot(tc_fun(_u5891, tc_HOL_Obool))))), _u5893), _u5892) | ( hAPP(c_Finite__Set_Ocard(tc_fun(_u5891, tc_HOL_Obool)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u5891), _u5892), _u5893)) = hAPP(c_Finite__Set_Ocard(_u5891), _u5892)) )).
% 39.89/40.13 cnf(matrix-2632, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5894), _u5895)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u5894, tc_HOL_Obool)), _u5896), _u5895)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u5894), _u5896)), hAPP(c_Finite__Set_Ocard(_u5894), _u5895))) )).
% 39.89/40.13 cnf(matrix-2633, plain, ( ~class_Lattices_Oboolean__algebra(_u5897) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5897), c_Orderings_Obot__class_Obot(_u5897)) = c_Orderings_Otop__class_Otop(_u5897)) )).
% 39.89/40.13 cnf(matrix-2634, plain, ( ~class_Lattices_Oboolean__algebra(_u5898) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5898), c_Orderings_Otop__class_Otop(_u5898)) = c_Orderings_Obot__class_Obot(_u5898)) )).
% 39.89/40.13 cnf(matrix-2635, plain, ( ~class_Lattices_Oboolean__algebra(_u5899) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u5899), hAPP(c_Groups_Ouminus__class_Ouminus(_u5899), _u5900)), _u5900) = c_Orderings_Otop__class_Otop(_u5899)) )).
% 39.89/40.13 cnf(matrix-2636, plain, ( ~class_Lattices_Oboolean__algebra(_u5901) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u5901), _u5902), hAPP(c_Groups_Ouminus__class_Ouminus(_u5901), _u5902)) = c_Orderings_Otop__class_Otop(_u5901)) )).
% 39.89/40.13 cnf(matrix-2637, plain, ( ~c_Fun_Oinj__on(_u5907, _u5908, _u5909, c_Orderings_Otop__class_Otop(tc_fun(_u5907, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u5908), _u5910), hAPP(c_Set_Oimage(_u5907, _u5908, _u5909), c_Orderings_Otop__class_Otop(tc_fun(_u5907, tc_HOL_Obool))))) | ( _u5910 = hAPP(_u5909, skolem117(_u5910, _u5909, _u5908, _u5907))) )).
% 39.89/40.13 cnf(matrix-2638, plain, ( ~c_Fun_Oinj__on(_u5907, _u5908, _u5909, c_Orderings_Otop__class_Otop(tc_fun(_u5907, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u5908), _u5910), hAPP(c_Set_Oimage(_u5907, _u5908, _u5909), c_Orderings_Otop__class_Otop(tc_fun(_u5907, tc_HOL_Obool))))) | ( _u5910 != hAPP(_u5909, _u5903)) | ( _u5903 = skolem117(_u5910, _u5909, _u5908, _u5907)) )).
% 39.89/40.13 cnf(matrix-2639, plain, ( ~c_Fun_Oinj__on(_u5907, _u5908, _u5909, c_Orderings_Otop__class_Otop(tc_fun(_u5907, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u5908), _u5910), hAPP(c_Set_Oimage(_u5907, _u5908, _u5909), c_Orderings_Otop__class_Otop(tc_fun(_u5907, tc_HOL_Obool))))) | ( _u5910 != hAPP(_u5909, _u5906)) | ( _u5910 = hAPP(_u5909, skolem118(_u5910, _u5909, _u5908, _u5907, _u5906))) )).
% 39.89/40.13 cnf(matrix-2640, plain, ( ~c_Fun_Oinj__on(_u5907, _u5908, _u5909, c_Orderings_Otop__class_Otop(tc_fun(_u5907, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u5908), _u5910), hAPP(c_Set_Oimage(_u5907, _u5908, _u5909), c_Orderings_Otop__class_Otop(tc_fun(_u5907, tc_HOL_Obool))))) | ( _u5910 != hAPP(_u5909, _u5906)) | ( skolem118(_u5910, _u5909, _u5908, _u5907, _u5906) != _u5906) )).
% 39.89/40.13 cnf(matrix-2641, plain, ( ~c_Fun_Oinj__on(_u5911, _u5912, _u5913, c_Orderings_Otop__class_Otop(tc_fun(_u5911, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u5912), hAPP(_u5913, _u5914)), hAPP(c_Set_Oimage(_u5911, _u5912, _u5913), _u5915))) | hBOOL(hAPP(hAPP(c_member(_u5911), _u5914), _u5915)) )).
% 39.89/40.13 cnf(matrix-2642, plain, ( ~c_Fun_Oinj__on(_u5911, _u5912, _u5913, c_Orderings_Otop__class_Otop(tc_fun(_u5911, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u5911), _u5914), _u5915)) | hBOOL(hAPP(hAPP(c_member(_u5912), hAPP(_u5913, _u5914)), hAPP(c_Set_Oimage(_u5911, _u5912, _u5913), _u5915))) )).
% 39.89/40.13 cnf(matrix-2643, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5916), c_Orderings_Otop__class_Otop(tc_fun(_u5916, tc_HOL_Obool)))) | ( hAPP(c_Set_Oimage(_u5916, _u5916, _u5917), c_Orderings_Otop__class_Otop(tc_fun(_u5916, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u5916, tc_HOL_Obool))) | c_Fun_Oinj__on(_u5916, _u5916, _u5917, c_Orderings_Otop__class_Otop(tc_fun(_u5916, tc_HOL_Obool))) )).
% 39.89/40.13 cnf(matrix-2644, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5918), c_Orderings_Otop__class_Otop(tc_fun(_u5918, tc_HOL_Obool)))) | ~c_Fun_Oinj__on(_u5918, _u5918, _u5919, c_Orderings_Otop__class_Otop(tc_fun(_u5918, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u5918, _u5918, _u5919), c_Orderings_Otop__class_Otop(tc_fun(_u5918, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u5918, tc_HOL_Obool))) )).
% 39.89/40.13 cnf(matrix-2645, plain, ( ~c_Fun_Oinj__on(_u5920, _u5921, _u5922, c_Orderings_Otop__class_Otop(tc_fun(_u5920, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5921, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u5920, _u5921, _u5922), _u5923)), hAPP(c_Set_Oimage(_u5920, _u5921, _u5922), _u5924))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5920, tc_HOL_Obool)), _u5923), _u5924)) )).
% 39.89/40.13 cnf(matrix-2646, plain, ( ~c_Fun_Oinj__on(_u5920, _u5921, _u5922, c_Orderings_Otop__class_Otop(tc_fun(_u5920, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5920, tc_HOL_Obool)), _u5923), _u5924)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5921, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u5920, _u5921, _u5922), _u5923)), hAPP(c_Set_Oimage(_u5920, _u5921, _u5922), _u5924))) )).
% 39.89/40.13 cnf(matrix-2647, plain, ( ~c_Fun_Oinj__on(_u5925, _u5926, _u5927, c_Orderings_Otop__class_Otop(tc_fun(_u5925, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u5925, _u5926, _u5927), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5925, tc_HOL_Obool)), _u5928), _u5929)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5926, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u5925, _u5926, _u5927), _u5928)), hAPP(c_Set_Oimage(_u5925, _u5926, _u5927), _u5929))) )).
% 39.89/40.13 cnf(matrix-2648, plain, ( ~c_Fun_Oinj__on(_u5930, _u5931, _u5932, c_Orderings_Otop__class_Otop(tc_fun(_u5930, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u5930, _u5931, _u5932), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5930, tc_HOL_Obool)), _u5933), _u5934)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5931, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u5930, _u5931, _u5932), _u5933)), hAPP(c_Set_Oimage(_u5930, _u5931, _u5932), _u5934))) )).
% 39.89/40.13 cnf(matrix-2649, plain, ( ( hAPP(c_Set_Oimage(_u5935, _u5936, _u5937), c_Orderings_Otop__class_Otop(tc_fun(_u5935, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u5936, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5936, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5936, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u5935, _u5936, _u5937), _u5938))), hAPP(c_Set_Oimage(_u5935, _u5936, _u5937), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5935, tc_HOL_Obool)), _u5938)))) )).
% 39.89/40.13 cnf(matrix-2650, plain, ( ~c_Fun_Oinj__on(_u5939, _u5940, _u5941, _u5942) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5940, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u5939, _u5940, _u5941), _u5942)), _u5943)) | ~c_Fun_Oinj__on(_u5940, _u5939, _u5944, _u5943) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5939, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u5940, _u5939, _u5944), _u5943)), _u5942)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5939), _u5942)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5940), _u5943)) | ( hAPP(c_Finite__Set_Ocard(_u5939), _u5942) = hAPP(c_Finite__Set_Ocard(_u5940), _u5943)) )).
% 39.89/40.13 cnf(matrix-2651, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5945), _u5946)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5945, tc_HOL_Obool)), _u5946), _u5947)) | ( hAPP(c_Finite__Set_Ocard(_u5945), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5945, tc_HOL_Obool)), _u5947), _u5946)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u5945), _u5947)), hAPP(c_Finite__Set_Ocard(_u5945), _u5946))) )).
% 39.89/40.13 cnf(matrix-2652, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u5948)), hAPP(c_Set_Oimage(_u5949, tc_Option_Ooption(_u5948), _u5950), c_Orderings_Otop__class_Otop(tc_fun(_u5949, tc_HOL_Obool))))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u5948)), hAPP(c_Set_Oimage(_u5949, tc_Option_Ooption(_u5948), hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u5949, tc_Option_Ooption(_u5948)), _u5950), _u5951), hAPP(c_Option_Ooption_OSome(_u5948), _u5952))), c_Orderings_Otop__class_Otop(tc_fun(_u5949, tc_HOL_Obool))))) )).
% 39.89/40.13 cnf(matrix-2653, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5953), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5953, tc_HOL_Obool)), _u5954), _u5955))) | ( hAPP(c_Finite__Set_Ocard(_u5953), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5953, tc_HOL_Obool)), _u5954), _u5955)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u5953), _u5954)), hAPP(c_Finite__Set_Ocard(_u5953), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5953, tc_HOL_Obool)), _u5954), _u5955)))) )).
% 39.89/40.13 cnf(matrix-2654, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5956), _u5957)) | 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(_u5956), _u5958)), hAPP(c_Finite__Set_Ocard(_u5956), _u5957))), hAPP(c_Finite__Set_Ocard(_u5956), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5956, tc_HOL_Obool)), _u5958), _u5957)))) )).
% 39.89/40.13 cnf(matrix-2655, plain, ( c_Fun_Oinj__on(_u5959, tc_fun(_u5959, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u5959, tc_fun(_u5959, tc_HOL_Obool), tc_fun(_u5959, tc_HOL_Obool)), c_Set_Oinsert(_u5959)), c_Orderings_Obot__class_Obot(tc_fun(_u5959, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u5959, tc_HOL_Obool))) )).
% 39.89/40.13 cnf(matrix-2656, plain, ( ~class_Groups_Ocomm__monoid__add(_u5960) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5961), _u5962)) | hBOOL(hAPP(hAPP(c_member(_u5961), _u5963), _u5962)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5961, _u5960), _u5964), hAPP(hAPP(c_Set_Oinsert(_u5961), _u5963), _u5962)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5960), hAPP(_u5964, _u5963)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5961, _u5960), _u5964), _u5962))) )).
% 39.89/40.13 cnf(matrix-2657, plain, ( ~class_Groups_Ocomm__monoid__add(_u5965) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5966), _u5967)) | hBOOL(hAPP(hAPP(c_member(_u5966), _u5968), _u5967)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5966, _u5965), _u5969), hAPP(hAPP(c_Set_Oinsert(_u5966), _u5968), _u5967)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5965), hAPP(_u5969, _u5968)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5966, _u5965), _u5969), _u5967))) )).
% 39.89/40.13 cnf(matrix-2658, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5970), _u5971)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5970, tc_HOL_Obool)), _u5972), _u5971)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u5970), _u5972)), hAPP(c_Finite__Set_Ocard(_u5970), _u5971))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u5970, tc_HOL_Obool)), _u5972), _u5971)) )).
% 39.89/40.13 cnf(matrix-2659, plain, ( ~class_Groups_Ocomm__monoid__add(_u5973) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5974), _u5975)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5974), _u5976)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5973), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5974, _u5973), _u5977), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5974, tc_HOL_Obool)), _u5975), _u5976))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5974, _u5973), _u5977), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5974, tc_HOL_Obool)), _u5975), _u5976))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5973), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5974, _u5973), _u5977), _u5975)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5974, _u5973), _u5977), _u5976))) )).
% 39.89/40.13 cnf(matrix-2660, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5984, tc_fun(_u5986, tc_fun(_u5988, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u5984, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u5986, _u5988), tc_HOL_Obool), tc_fun(_u5986, tc_fun(_u5988, tc_HOL_Obool)), _u5984), hAPP(c_COMBC(_u5986, tc_fun(tc_prod(_u5986, _u5988), tc_HOL_Obool), tc_fun(_u5988, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5988, tc_fun(tc_fun(tc_prod(_u5986, _u5988), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u5986, _u5988), tc_HOL_Obool), tc_fun(_u5988, tc_HOL_Obool)), _u5986), c_COMBC(_u5988, tc_fun(tc_prod(_u5986, _u5988), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5988, tc_prod(_u5986, _u5988)), tc_fun(_u5988, tc_fun(tc_fun(tc_prod(_u5986, _u5988), tc_HOL_Obool), tc_HOL_Obool)), _u5986), hAPP(c_COMBB(tc_prod(_u5986, _u5988), tc_fun(tc_fun(tc_prod(_u5986, _u5988), tc_HOL_Obool), tc_HOL_Obool), _u5988), c_member(tc_prod(_u5986, _u5988)))), c_Product__Type_OPair(_u5986, _u5988))))), _u5990)), _u5992), _u5994)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u5986, _u5988)), hAPP(hAPP(c_Product__Type_OPair(_u5986, _u5988), _u5992), _u5994)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5984, tc_fun(tc_prod(_u5986, _u5988), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u5984, tc_HOL_Obool))), _u5990))) )).
% 39.89/40.13 cnf(matrix-2661, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u5987, _u5989)), hAPP(hAPP(c_Product__Type_OPair(_u5987, _u5989), _u5993), _u5995)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5985, tc_fun(tc_prod(_u5987, _u5989), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u5985, tc_HOL_Obool))), _u5991))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5985, tc_fun(_u5987, tc_fun(_u5989, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u5985, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u5987, _u5989), tc_HOL_Obool), tc_fun(_u5987, tc_fun(_u5989, tc_HOL_Obool)), _u5985), hAPP(c_COMBC(_u5987, tc_fun(tc_prod(_u5987, _u5989), tc_HOL_Obool), tc_fun(_u5989, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5989, tc_fun(tc_fun(tc_prod(_u5987, _u5989), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u5987, _u5989), tc_HOL_Obool), tc_fun(_u5989, tc_HOL_Obool)), _u5987), c_COMBC(_u5989, tc_fun(tc_prod(_u5987, _u5989), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u5989, tc_prod(_u5987, _u5989)), tc_fun(_u5989, tc_fun(tc_fun(tc_prod(_u5987, _u5989), tc_HOL_Obool), tc_HOL_Obool)), _u5987), hAPP(c_COMBB(tc_prod(_u5987, _u5989), tc_fun(tc_fun(tc_prod(_u5987, _u5989), tc_HOL_Obool), tc_HOL_Obool), _u5989), c_member(tc_prod(_u5987, _u5989)))), c_Product__Type_OPair(_u5987, _u5989))))), _u5991)), _u5993), _u5995)) )).
% 39.89/40.13 cnf(matrix-2662, plain, ( ~c_Fun_Oinj__on(_u5996, _u5997, _u5998, c_Orderings_Otop__class_Otop(tc_fun(_u5996, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5997, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u5996, _u5997, _u5998), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5996, tc_HOL_Obool)), _u5999))), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5997, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u5996, _u5997, _u5998), _u5999)))) )).
% 39.89/40.13 cnf(matrix-2663, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6000), _u6001)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u6000), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6000, tc_HOL_Obool)), _u6001), hAPP(hAPP(c_Set_Oinsert(_u6000), _u6002), c_Orderings_Obot__class_Obot(tc_fun(_u6000, tc_HOL_Obool)))))), hAPP(c_Finite__Set_Ocard(_u6000), _u6001))) )).
% 39.89/40.13 cnf(matrix-2664, plain, ( ~c_Fun_Oinj__on(_u6003, _u6004, _u6005, _u6006) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6004, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u6003, _u6004, _u6005), _u6006)), _u6007)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6004), _u6007)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u6003), _u6006)), hAPP(c_Finite__Set_Ocard(_u6004), _u6007))) )).
% 39.89/40.13 cnf(matrix-2665, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6010), _u6011)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6012), _u6013)) | ~c_Fun_Oinj__on(_u6010, _u6012, _u6008, _u6011) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6012, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u6010, _u6012, _u6008), _u6011)), _u6013)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u6010), _u6011)), hAPP(c_Finite__Set_Ocard(_u6012), _u6013))) )).
% 39.89/40.13 cnf(matrix-2666, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6010), _u6011)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6012), _u6013)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u6010), _u6011)), hAPP(c_Finite__Set_Ocard(_u6012), _u6013))) | c_Fun_Oinj__on(_u6010, _u6012, skolem119(_u6013, _u6012, _u6011, _u6010), _u6011) )).
% 39.89/40.13 cnf(matrix-2667, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6010), _u6011)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6012), _u6013)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u6010), _u6011)), hAPP(c_Finite__Set_Ocard(_u6012), _u6013))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6012, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u6010, _u6012, skolem119(_u6013, _u6012, _u6011, _u6010)), _u6011)), _u6013)) )).
% 39.89/40.13 cnf(matrix-2668, plain, ( ~class_Groups_Ocomm__monoid__add(_u6014) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6015), _u6016)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6015, _u6014), _u6017), hAPP(hAPP(c_Set_Oinsert(_u6015), _u6018), _u6016)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6014), hAPP(_u6017, _u6018)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6015, _u6014), _u6017), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6015, tc_HOL_Obool)), _u6016), hAPP(hAPP(c_Set_Oinsert(_u6015), _u6018), c_Orderings_Obot__class_Obot(tc_fun(_u6015, tc_HOL_Obool))))))) )).
% 39.89/40.13 cnf(matrix-2669, plain, ( ~class_Groups_Ocomm__monoid__add(_u6019) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6020), _u6021)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6020), _u6022)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6020, tc_HOL_Obool)), _u6021), _u6022) != c_Orderings_Obot__class_Obot(tc_fun(_u6020, tc_HOL_Obool))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6020, _u6019), _u6023), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6020, tc_HOL_Obool)), _u6021), _u6022)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6019), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6020, _u6019), _u6023), _u6021)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6020, _u6019), _u6023), _u6022))) )).
% 39.89/40.13 cnf(matrix-2670, plain, ( ~class_Groups_Oab__group__add(_u6024) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6025), _u6026)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6025), _u6027)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6025, _u6024), _u6028), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6025, tc_HOL_Obool)), _u6026), _u6027)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6024), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6024), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6025, _u6024), _u6028), _u6026)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6025, _u6024), _u6028), _u6027))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6025, _u6024), _u6028), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6025, tc_HOL_Obool)), _u6026), _u6027)))) )).
% 39.89/40.13 cnf(matrix-2671, plain, ( ( hAPP(c_Option_Ooption_Ooption__case(_u6029, _u6030, _u6031, _u6032), c_Option_Ooption_ONone(_u6030)) = _u6031) )).
% 39.89/40.13 cnf(matrix-2672, plain, ( ( hAPP(c_Option_Ooption_Ooption__case(_u6033, _u6034, _u6035, _u6036), hAPP(c_Option_Ooption_OSome(_u6034), _u6037)) = hAPP(_u6036, _u6037)) )).
% 39.89/40.13 cnf(matrix-2673, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6038), _u6039)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6038), _u6040)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6038, tc_Nat_Onat), _u6041), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6038, tc_HOL_Obool)), _u6039), _u6040)) = 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(_u6038, tc_Nat_Onat), _u6041), _u6039)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6038, tc_Nat_Onat), _u6041), _u6040))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6038, tc_Nat_Onat), _u6041), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6038, tc_HOL_Obool)), _u6039), _u6040)))) )).
% 39.89/40.13 cnf(matrix-2674, plain, ( ~class_Groups_Ocomm__monoid__add(_u6042) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6043), _u6044)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6043, _u6042), hAPP(hAPP(c_COMBS(_u6043, _u6042, _u6042), hAPP(hAPP(c_COMBS(_u6043, _u6042, tc_fun(_u6042, _u6042)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u6042, tc_fun(_u6042, _u6042)), _u6043), c_If(_u6042)), _u6045)), _u6046)), _u6047)), _u6044) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6042), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6043, _u6042), _u6046), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6043, tc_HOL_Obool)), _u6044), hAPP(c_Set_OCollect(_u6043), _u6045)))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6043, _u6042), _u6047), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6043, tc_HOL_Obool)), _u6044), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6043, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u6043), _u6045)))))) )).
% 39.89/40.13 cnf(matrix-2675, plain, ( ~class_Rings_Ocomm__ring__1(_u6048) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6048), _u6049), _u6050) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6048), _u6049), hAPP(c_Groups_Ouminus__class_Ouminus(_u6048), _u6050))) )).
% 39.89/40.13 cnf(matrix-2676, plain, ( ~c_Big__Operators_Ocomm__monoid__big(_u6051, _u6052, _u6053, _u6054, _u6055) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6052), _u6056)) | ( hAPP(hAPP(_u6055, _u6057), _u6056) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u6051, _u6052, _u6053), _u6057), _u6054), _u6056)) )).
% 39.89/40.13 cnf(matrix-2677, plain, ( ~c_Big__Operators_Ocomm__monoid__big(_u6051, _u6052, _u6053, _u6054, _u6055) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u6052), _u6056)) | ( hAPP(hAPP(_u6055, _u6057), _u6056) = _u6054) )).
% 39.89/40.13 cnf(matrix-2678, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6058), _u6059)) | ~hBOOL(hAPP(hAPP(c_member(_u6058), _u6060), _u6059)) | ( hAPP(c_Finite__Set_Ocard(_u6058), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6058, tc_HOL_Obool)), _u6059), hAPP(hAPP(c_Set_Oinsert(_u6058), _u6060), c_Orderings_Obot__class_Obot(tc_fun(_u6058, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u6058), _u6059)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 39.89/40.13 cnf(matrix-2679, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6061), _u6062)) | ~hBOOL(hAPP(hAPP(c_member(_u6061), _u6063), _u6062)) | ( hAPP(c_Finite__Set_Ocard(_u6061), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6061, tc_HOL_Obool)), _u6062), hAPP(hAPP(c_Set_Oinsert(_u6061), _u6063), c_Orderings_Obot__class_Obot(tc_fun(_u6061, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u6061), _u6062)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 39.89/40.13 cnf(matrix-2680, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6061), _u6062)) | hBOOL(hAPP(hAPP(c_member(_u6061), _u6063), _u6062)) | ( hAPP(c_Finite__Set_Ocard(_u6061), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6061, tc_HOL_Obool)), _u6062), hAPP(hAPP(c_Set_Oinsert(_u6061), _u6063), c_Orderings_Obot__class_Obot(tc_fun(_u6061, tc_HOL_Obool))))) = hAPP(c_Finite__Set_Ocard(_u6061), _u6062)) )).
% 39.89/40.13 cnf(matrix-2681, plain, ( ~class_Groups_Olinordered__ab__semigroup__add(_u6064) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6064), _u6065)) | ( _u6065 = c_Orderings_Obot__class_Obot(tc_fun(_u6064, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6064), _u6066), c_Big__Operators_Olinorder__class_OMin(_u6064, _u6065)) = c_Big__Operators_Olinorder__class_OMin(_u6064, hAPP(c_Set_OCollect(_u6064), hAPP(hAPP(c_COMBB(tc_fun(_u6064, tc_HOL_Obool), tc_HOL_Obool, _u6064), c_HOL_OEx(_u6064)), hAPP(hAPP(c_COMBC(_u6064, tc_fun(_u6064, tc_HOL_Obool), tc_fun(_u6064, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6064, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u6064, tc_HOL_Obool), tc_fun(_u6064, tc_HOL_Obool)), _u6064), c_COMBS(_u6064, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6064, tc_HOL_Obool), tc_fun(_u6064, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u6064), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6064), c_fconj)), hAPP(hAPP(c_COMBC(_u6064, tc_fun(_u6064, _u6064), tc_fun(_u6064, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6064, tc_HOL_Obool), tc_fun(tc_fun(_u6064, _u6064), tc_fun(_u6064, tc_HOL_Obool)), _u6064), c_COMBB(_u6064, tc_HOL_Obool, _u6064)), c_fequal)), hAPP(c_Groups_Oplus__class_Oplus(_u6064), _u6066))))), hAPP(hAPP(c_COMBC(_u6064, tc_fun(_u6064, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6064)), _u6065)))))) )).
% 39.89/40.13 cnf(matrix-2682, plain, ( ~class_Groups_Olinordered__ab__semigroup__add(_u6067) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6067), _u6068)) | ( _u6068 = c_Orderings_Obot__class_Obot(tc_fun(_u6067, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6067), _u6069), c_Big__Operators_Olinorder__class_OMax(_u6067, _u6068)) = c_Big__Operators_Olinorder__class_OMax(_u6067, hAPP(c_Set_OCollect(_u6067), hAPP(hAPP(c_COMBB(tc_fun(_u6067, tc_HOL_Obool), tc_HOL_Obool, _u6067), c_HOL_OEx(_u6067)), hAPP(hAPP(c_COMBC(_u6067, tc_fun(_u6067, tc_HOL_Obool), tc_fun(_u6067, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6067, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u6067, tc_HOL_Obool), tc_fun(_u6067, tc_HOL_Obool)), _u6067), c_COMBS(_u6067, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6067, tc_HOL_Obool), tc_fun(_u6067, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u6067), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6067), c_fconj)), hAPP(hAPP(c_COMBC(_u6067, tc_fun(_u6067, _u6067), tc_fun(_u6067, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6067, tc_HOL_Obool), tc_fun(tc_fun(_u6067, _u6067), tc_fun(_u6067, tc_HOL_Obool)), _u6067), c_COMBB(_u6067, tc_HOL_Obool, _u6067)), c_fequal)), hAPP(c_Groups_Oplus__class_Oplus(_u6067), _u6069))))), hAPP(hAPP(c_COMBC(_u6067, tc_fun(_u6067, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6067)), _u6068)))))) )).
% 39.89/40.13 cnf(matrix-2683, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6071), _u6072)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6073), _u6074)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6071, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u6073, tc_HOL_Obool), tc_Nat_Onat, _u6071), c_Finite__Set_Ocard(_u6073)), hAPP(hAPP(c_COMBB(tc_fun(_u6073, tc_HOL_Obool), tc_fun(_u6073, tc_HOL_Obool), _u6071), c_Set_OCollect(_u6073)), hAPP(hAPP(c_COMBB(tc_fun(_u6073, tc_HOL_Obool), tc_fun(_u6073, tc_HOL_Obool), _u6071), hAPP(c_COMBS(_u6073, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6073), c_fconj), hAPP(hAPP(c_COMBC(_u6073, tc_fun(_u6073, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6073)), _u6074)))), _u6075)))), _u6072) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6073, tc_Nat_Onat), _u6076), _u6074)) | hBOOL(hAPP(hAPP(c_member(_u6073), skolem120(_u6076, _u6075, _u6074, _u6073, _u6072, _u6071)), _u6074)) )).
% 39.89/40.13 cnf(matrix-2684, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6071), _u6072)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6073), _u6074)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6071, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u6073, tc_HOL_Obool), tc_Nat_Onat, _u6071), c_Finite__Set_Ocard(_u6073)), hAPP(hAPP(c_COMBB(tc_fun(_u6073, tc_HOL_Obool), tc_fun(_u6073, tc_HOL_Obool), _u6071), c_Set_OCollect(_u6073)), hAPP(hAPP(c_COMBB(tc_fun(_u6073, tc_HOL_Obool), tc_fun(_u6073, tc_HOL_Obool), _u6071), hAPP(c_COMBS(_u6073, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6073), c_fconj), hAPP(hAPP(c_COMBC(_u6073, tc_fun(_u6073, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6073)), _u6074)))), _u6075)))), _u6072) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6073, tc_Nat_Onat), _u6076), _u6074)) | ( hAPP(c_Finite__Set_Ocard(_u6071), hAPP(c_Set_OCollect(_u6071), hAPP(hAPP(c_COMBS(_u6071, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6071), c_fconj), hAPP(hAPP(c_COMBC(_u6071, tc_fun(_u6071, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6071)), _u6072))), hAPP(hAPP(c_COMBC(_u6071, _u6073, tc_HOL_Obool), _u6075), skolem120(_u6076, _u6075, _u6074, _u6073, _u6072, _u6071))))) != hAPP(_u6076, skolem120(_u6076, _u6075, _u6074, _u6073, _u6072, _u6071))) )).
% 39.89/40.13 cnf(matrix-2685, plain, ( ( c_Smallcheck_Oorelse(_u6077, _u6078, _u6079) = hAPP(c_Option_Ooption_Ooption__case(tc_Option_Ooption(_u6077), _u6077, _u6079, c_Option_Ooption_OSome(_u6077)), _u6078)) )).
% 39.89/40.13 cnf(matrix-2686, plain, ( hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(_u6080, tc_HOL_Obool)), _u6081)) )).
% 39.89/40.13 cnf(matrix-2687, 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)) )).
% 39.89/40.13 cnf(matrix-2688, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6082), _u6083) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6083), _u6082)) )).
% 39.89/40.13 cnf(matrix-2689, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6084), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6085), _u6086)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6085), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6084), _u6086))) )).
% 39.89/40.13 cnf(matrix-2690, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6087), _u6088)), _u6089) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6087), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6088), _u6089))) )).
% 39.89/40.13 cnf(matrix-2691, plain, ( ( _u6095 = _u6097) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6093), _u6095) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6093), _u6097)) )).
% 39.89/40.13 cnf(matrix-2692, plain, ( ( _u6096 != _u6098) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6094), _u6096) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6094), _u6098)) )).
% 39.89/40.13 cnf(matrix-2693, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6102), _u6104) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6106), _u6104)) | ( _u6102 = _u6106) )).
% 39.89/40.13 cnf(matrix-2694, plain, ( ( _u6103 != _u6107) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6103), _u6105) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6107), _u6105)) )).
% 39.89/40.13 cnf(matrix-2695, 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)), _u6108), _u6109) )).
% 39.89/40.13 cnf(matrix-2696, plain, ( ~class_Groups_Oone(_u6110) | ( c_Groups_Oone__class_Oone(_u6110) != _u6111) | ( _u6111 = c_Groups_Oone__class_Oone(_u6110)) )).
% 39.89/40.13 cnf(matrix-2697, plain, ( ~class_Groups_Oone(_u6110) | ( _u6111 != c_Groups_Oone__class_Oone(_u6110)) | ( c_Groups_Oone__class_Oone(_u6110) = _u6111) )).
% 39.89/40.13 cnf(matrix-2698, plain, ( ~class_Groups_Olinordered__ab__group__add(_u6112) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6112), _u6113)) | ( _u6113 = c_Orderings_Obot__class_Obot(tc_fun(_u6112, tc_HOL_Obool))) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u6112), c_Big__Operators_Olinorder__class_OMax(_u6112, _u6113)) = c_Big__Operators_Olinorder__class_OMin(_u6112, hAPP(c_Set_Oimage(_u6112, _u6112, c_Groups_Ouminus__class_Ouminus(_u6112)), _u6113))) )).
% 39.89/40.13 cnf(matrix-2699, plain, ( ~class_Groups_Olinordered__ab__group__add(_u6114) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6114), _u6115)) | ( _u6115 = c_Orderings_Obot__class_Obot(tc_fun(_u6114, tc_HOL_Obool))) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u6114), c_Big__Operators_Olinorder__class_OMin(_u6114, _u6115)) = c_Big__Operators_Olinorder__class_OMax(_u6114, hAPP(c_Set_Oimage(_u6114, _u6114, c_Groups_Ouminus__class_Ouminus(_u6114)), _u6115))) )).
% 39.89/40.13 cnf(matrix-2700, plain, ( ~class_Orderings_Olinorder(_u6116) | ( c_Big__Operators_Olinorder__class_OMin(_u6116, hAPP(hAPP(c_Set_Oinsert(_u6116), _u6117), c_Orderings_Obot__class_Obot(tc_fun(_u6116, tc_HOL_Obool)))) = _u6117) )).
% 39.89/40.13 cnf(matrix-2701, plain, ( ~class_Orderings_Olinorder(_u6118) | ( c_Big__Operators_Olinorder__class_OMax(_u6118, hAPP(hAPP(c_Set_Oinsert(_u6118), _u6119), c_Orderings_Obot__class_Obot(tc_fun(_u6118, tc_HOL_Obool)))) = _u6119) )).
% 39.89/40.13 cnf(matrix-2702, plain, ( ( hAPP(c_Finite__Set_Ocard(_u6120), _u6121) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6120, tc_Nat_Onat), hAPP(c_COMBK(tc_Nat_Onat, _u6120), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u6121)) )).
% 39.89/40.13 cnf(matrix-2703, plain, ( ~class_Rings_Ocomm__semiring__1(_u6122) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6122), _u6123), _u6124) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6122), _u6124), _u6123)) )).
% 39.89/40.13 cnf(matrix-2704, plain, ( ~class_Rings_Ocomm__semiring__1(_u6125) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6125), _u6126), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6125), _u6127), _u6128)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6125), _u6127), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6125), _u6126), _u6128))) )).
% 39.89/40.13 cnf(matrix-2705, plain, ( ~class_Rings_Ocomm__semiring__1(_u6129) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6129), _u6130), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6129), _u6131), _u6132)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6129), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6129), _u6130), _u6131)), _u6132)) )).
% 39.89/40.13 cnf(matrix-2706, plain, ( ~class_Rings_Ocomm__semiring__1(_u6133) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6133), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6133), _u6134), _u6135)), _u6136) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6133), _u6134), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6133), _u6135), _u6136))) )).
% 39.89/40.13 cnf(matrix-2707, plain, ( ~class_Rings_Ocomm__semiring__1(_u6137) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6137), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6137), _u6138), _u6139)), _u6140) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6137), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6137), _u6138), _u6140)), _u6139)) )).
% 39.89/40.13 cnf(matrix-2708, plain, ( ~class_Rings_Ocomm__semiring__1(_u6141) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6141), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6141), _u6142), _u6143)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6141), _u6144), _u6145)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6141), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6141), _u6142), _u6144)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6141), _u6143), _u6145))) )).
% 39.89/40.13 cnf(matrix-2709, plain, ( ~class_Orderings_Olinorder(_u6146) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6146), _u6147)) | ~hBOOL(hAPP(hAPP(c_member(_u6146), _u6148), _u6147)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6146), _u6148), c_Big__Operators_Olinorder__class_OMax(_u6146, _u6147))) )).
% 39.89/40.13 cnf(matrix-2710, plain, ( ~class_Orderings_Olinorder(_u6149) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6149), _u6150)) | ~hBOOL(hAPP(hAPP(c_member(_u6149), _u6151), _u6150)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6149), c_Big__Operators_Olinorder__class_OMin(_u6149, _u6150)), _u6151)) )).
% 39.89/40.13 cnf(matrix-2711, plain, ( ~class_Orderings_Olinorder(_u6152) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6152), _u6153)) | ( _u6153 = c_Orderings_Obot__class_Obot(tc_fun(_u6152, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u6152), c_Big__Operators_Olinorder__class_OMin(_u6152, _u6153)), _u6153)) )).
% 39.89/40.13 cnf(matrix-2712, plain, ( ~class_Orderings_Olinorder(_u6154) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6154), _u6155)) | ( _u6155 = c_Orderings_Obot__class_Obot(tc_fun(_u6154, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u6154), c_Big__Operators_Olinorder__class_OMax(_u6154, _u6155)), _u6155)) )).
% 39.89/40.13 cnf(matrix-2713, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6156), _u6157)) | hBOOL(hAPP(hAPP(c_member(_u6156), _u6158), _u6157)) | ( hAPP(c_Finite__Set_Ocard(_u6156), hAPP(hAPP(c_Set_Oinsert(_u6156), _u6158), _u6157)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u6156), _u6157))) )).
% 39.89/40.13 cnf(matrix-2714, plain, ( ~class_Orderings_Olinorder(_u6159) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6159, tc_HOL_Obool)), _u6160), _u6161)) | ( _u6160 = c_Orderings_Obot__class_Obot(tc_fun(_u6159, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6159), _u6161)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6159), c_Big__Operators_Olinorder__class_OMin(_u6159, _u6161)), c_Big__Operators_Olinorder__class_OMin(_u6159, _u6160))) )).
% 39.89/40.13 cnf(matrix-2715, plain, ( ~class_Orderings_Olinorder(_u6162) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6162, tc_HOL_Obool)), _u6163), _u6164)) | ( _u6163 = c_Orderings_Obot__class_Obot(tc_fun(_u6162, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6162), _u6164)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6162), c_Big__Operators_Olinorder__class_OMax(_u6162, _u6163)), c_Big__Operators_Olinorder__class_OMax(_u6162, _u6164))) )).
% 39.89/40.13 cnf(matrix-2716, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u6166), _u6170)) | ( hAPP(hAPP(_u6169, _u6171), _u6170) = _u6168) | ~c_Big__Operators_Ocomm__monoid__big(_u6165, _u6166, _u6167, _u6168, _u6169) )).
% 39.89/40.13 cnf(matrix-2717, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6172), _u6173)) | ( hAPP(c_Finite__Set_Ocard(_u6172), hAPP(hAPP(c_Set_Oinsert(_u6172), _u6174), _u6173)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u6172), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6172, tc_HOL_Obool)), _u6173), hAPP(hAPP(c_Set_Oinsert(_u6172), _u6174), c_Orderings_Obot__class_Obot(tc_fun(_u6172, tc_HOL_Obool))))))) )).
% 39.89/40.13 cnf(matrix-2718, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6175), _u6176)) | ~hBOOL(hAPP(hAPP(c_member(_u6175), _u6177), _u6176)) | ( hAPP(c_Finite__Set_Ocard(_u6175), _u6176) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u6175), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6175, tc_HOL_Obool)), _u6176), hAPP(hAPP(c_Set_Oinsert(_u6175), _u6177), c_Orderings_Obot__class_Obot(tc_fun(_u6175, tc_HOL_Obool))))))) )).
% 39.89/40.13 cnf(matrix-2719, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6178), _u6179)) | ~hBOOL(hAPP(hAPP(c_member(_u6178), _u6180), _u6179)) | hBOOL(hAPP(hAPP(c_member(_u6178), _u6180), _u6181)) | ( hAPP(c_Finite__Set_Ocard(_u6178), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6178, tc_HOL_Obool)), _u6179), hAPP(hAPP(c_Set_Oinsert(_u6178), _u6180), _u6181))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u6178), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6178, tc_HOL_Obool)), _u6179), _u6181))), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 39.89/40.13 cnf(matrix-2720, plain, ( ~class_Rings_Olinordered__semidom(_u6182) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6182), _u6183), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6182), _u6183), c_Groups_Oone__class_Oone(_u6182)))) )).
% 39.89/40.13 cnf(matrix-2721, plain, ( ( c_Relation_OId__on(_u6184, _u6185) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6184, tc_fun(tc_prod(_u6184, _u6184), tc_HOL_Obool)), _u6185), hAPP(hAPP(c_COMBC(_u6184, tc_fun(tc_prod(_u6184, _u6184), tc_HOL_Obool), tc_fun(tc_prod(_u6184, _u6184), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_prod(_u6184, _u6184), tc_fun(tc_fun(tc_prod(_u6184, _u6184), tc_HOL_Obool), tc_fun(tc_prod(_u6184, _u6184), tc_HOL_Obool)), _u6184), c_Set_Oinsert(tc_prod(_u6184, _u6184))), hAPP(hAPP(c_COMBS(_u6184, _u6184, tc_prod(_u6184, _u6184)), c_Product__Type_OPair(_u6184, _u6184)), c_COMBI(_u6184)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u6184, _u6184), tc_HOL_Obool))))) )).
% 39.89/40.13 cnf(matrix-2722, plain, ( ~c_Equiv__Relations_Oequiv(_u6188, c_Orderings_Otop__class_Otop(tc_fun(_u6188, tc_HOL_Obool)), _u6190) | c_Equiv__Relations_Oequivp(_u6188, hAPP(hAPP(c_COMBC(_u6188, tc_fun(tc_prod(_u6188, _u6188), tc_HOL_Obool), tc_fun(_u6188, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6188, tc_fun(tc_fun(tc_prod(_u6188, _u6188), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u6188, _u6188), tc_HOL_Obool), tc_fun(_u6188, tc_HOL_Obool)), _u6188), c_COMBC(_u6188, tc_fun(tc_prod(_u6188, _u6188), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6188, tc_prod(_u6188, _u6188)), tc_fun(_u6188, tc_fun(tc_fun(tc_prod(_u6188, _u6188), tc_HOL_Obool), tc_HOL_Obool)), _u6188), hAPP(c_COMBB(tc_prod(_u6188, _u6188), tc_fun(tc_fun(tc_prod(_u6188, _u6188), tc_HOL_Obool), tc_HOL_Obool), _u6188), c_member(tc_prod(_u6188, _u6188)))), c_Product__Type_OPair(_u6188, _u6188)))), _u6190)) )).
% 39.89/40.13 cnf(matrix-2723, plain, ( ~c_Equiv__Relations_Oequivp(_u6189, hAPP(hAPP(c_COMBC(_u6189, tc_fun(tc_prod(_u6189, _u6189), tc_HOL_Obool), tc_fun(_u6189, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6189, tc_fun(tc_fun(tc_prod(_u6189, _u6189), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u6189, _u6189), tc_HOL_Obool), tc_fun(_u6189, tc_HOL_Obool)), _u6189), c_COMBC(_u6189, tc_fun(tc_prod(_u6189, _u6189), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6189, tc_prod(_u6189, _u6189)), tc_fun(_u6189, tc_fun(tc_fun(tc_prod(_u6189, _u6189), tc_HOL_Obool), tc_HOL_Obool)), _u6189), hAPP(c_COMBB(tc_prod(_u6189, _u6189), tc_fun(tc_fun(tc_prod(_u6189, _u6189), tc_HOL_Obool), tc_HOL_Obool), _u6189), c_member(tc_prod(_u6189, _u6189)))), c_Product__Type_OPair(_u6189, _u6189)))), _u6191)) | c_Equiv__Relations_Oequiv(_u6189, c_Orderings_Otop__class_Otop(tc_fun(_u6189, tc_HOL_Obool)), _u6191) )).
% 39.89/40.13 cnf(matrix-2724, plain, ( ~c_Fun_Oinj__on(_u6192, _u6193, _u6194, c_Orderings_Otop__class_Otop(tc_fun(_u6192, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6192, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u6192, _u6193, _u6194), hAPP(hAPP(c_Set_Oinsert(_u6193), _u6195), c_Orderings_Obot__class_Obot(tc_fun(_u6193, tc_HOL_Obool))))), hAPP(hAPP(c_Set_Oinsert(_u6192), c_HOL_OThe(_u6192, hAPP(hAPP(c_COMBC(_u6192, _u6193, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u6193, tc_fun(_u6193, tc_HOL_Obool), _u6192), c_fequal), _u6194)), _u6195))), c_Orderings_Obot__class_Obot(tc_fun(_u6192, tc_HOL_Obool))))) )).
% 39.89/40.13 cnf(matrix-2725, plain, ( ~class_Groups_Ocomm__monoid__mult(_u6196) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6197), _u6198)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6197), _u6199)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6197, tc_HOL_Obool)), _u6198), _u6199) != c_Orderings_Obot__class_Obot(tc_fun(_u6197, tc_HOL_Obool))) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u6196, _u6197, c_Groups_Otimes__class_Otimes(_u6196)), _u6200), c_Groups_Oone__class_Oone(_u6196)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6197, tc_HOL_Obool)), _u6198), _u6199)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6196), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u6196, _u6197, c_Groups_Otimes__class_Otimes(_u6196)), _u6200), c_Groups_Oone__class_Oone(_u6196)), _u6198)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u6196, _u6197, c_Groups_Otimes__class_Otimes(_u6196)), _u6200), c_Groups_Oone__class_Oone(_u6196)), _u6199))) )).
% 39.89/40.13 cnf(matrix-2726, plain, ( ( c_Map_Omap__comp(_u6201, _u6202, _u6203, _u6204, _u6205, _u6206) = hAPP(c_Option_Ooption_Ooption__case(tc_Option_Ooption(_u6202), _u6201, c_Option_Ooption_ONone(_u6202), _u6204), hAPP(_u6205, _u6206))) )).
% 39.89/40.13 cnf(matrix-2727, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6207), _u6208)) | ~hBOOL(hAPP(hAPP(c_member(_u6207), _u6209), _u6208)) | ( hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u6207), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6207, tc_HOL_Obool)), _u6208), hAPP(hAPP(c_Set_Oinsert(_u6207), _u6209), c_Orderings_Obot__class_Obot(tc_fun(_u6207, tc_HOL_Obool)))))) = hAPP(c_Finite__Set_Ocard(_u6207), _u6208)) )).
% 39.89/40.13 cnf(matrix-2728, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6210), hAPP(c_Nat_OSuc, _u6210))) )).
% 39.89/40.13 cnf(matrix-2729, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6211), _u6212)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6211)), hAPP(c_Nat_OSuc, _u6212))) )).
% 39.89/40.13 cnf(matrix-2730, plain, ( ( hAPP(_u6213, _u6214) != _u6215) | ~hBOOL(hAPP(hAPP(c_member(_u6216), _u6215), _u6217)) | hBOOL(hAPP(hAPP(c_member(_u6218), _u6214), hAPP(c_Set_Ovimage(_u6218, _u6216, _u6213), _u6217))) )).
% 39.89/40.13 cnf(matrix-2731, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6219), hAPP(c_Nat_OSuc, _u6220)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6219), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6219), _u6220))) )).
% 39.89/40.13 cnf(matrix-2732, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6221)), _u6222) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6222), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6221), _u6222))) )).
% 39.89/40.13 cnf(matrix-2733, plain, ( ~class_Rings_Osemiring(_u6223) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6223), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6223), _u6224), _u6225)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6223), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6223), _u6226), _u6225)), _u6227)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6223), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6223), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6223), _u6224), _u6226)), _u6225)), _u6227)) )).
% 39.89/40.13 cnf(matrix-2734, plain, ( ~class_Rings_Ocomm__semiring(_u6228) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6228), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6228), _u6229), _u6230)), _u6231) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6228), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6228), _u6229), _u6231)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6228), _u6230), _u6231))) )).
% 39.89/40.13 cnf(matrix-2735, plain, ( c_Fun_Oinj__on(tc_Nat_Onat, tc_Nat_Onat, c_Nat_OSuc, _u6232) )).
% 39.89/40.13 cnf(matrix-2736, plain, ( ~class_Rings_Ocomm__semiring__1(_u6233) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6233), _u6234), _u6235) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6233), _u6235), _u6234)) )).
% 39.89/40.13 cnf(matrix-2737, plain, ( ~class_Rings_Ocomm__semiring__1(_u6236) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6236), _u6237), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6236), _u6238), _u6239)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6236), _u6238), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6236), _u6237), _u6239))) )).
% 39.89/40.13 cnf(matrix-2738, plain, ( ~class_Rings_Ocomm__semiring__1(_u6240) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6240), _u6241), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6240), _u6242), _u6243)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6240), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6240), _u6241), _u6242)), _u6243)) )).
% 39.89/40.13 cnf(matrix-2739, plain, ( ~class_Rings_Ocomm__semiring__1(_u6244) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6244), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6244), _u6245), _u6246)), _u6247) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6244), _u6245), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6244), _u6246), _u6247))) )).
% 39.89/40.13 cnf(matrix-2740, plain, ( ~class_Rings_Ocomm__semiring__1(_u6248) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6248), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6248), _u6249), _u6250)), _u6251) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6248), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6248), _u6249), _u6251)), _u6250)) )).
% 39.89/40.13 cnf(matrix-2741, plain, ( ~class_Rings_Ocomm__semiring__1(_u6252) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6252), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6252), _u6253), _u6254)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6252), _u6255), _u6256)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6252), _u6253), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6252), _u6254), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6252), _u6255), _u6256)))) )).
% 39.89/40.13 cnf(matrix-2742, plain, ( ~class_Rings_Ocomm__semiring__1(_u6257) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6257), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6257), _u6258), _u6259)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6257), _u6260), _u6261)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6257), _u6260), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6257), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6257), _u6258), _u6259)), _u6261))) )).
% 39.89/40.13 cnf(matrix-2743, plain, ( ~class_Rings_Ocomm__semiring__1(_u6262) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6262), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6262), _u6263), _u6264)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6262), _u6265), _u6266)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6262), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6262), _u6263), _u6265)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6262), _u6264), _u6266))) )).
% 39.89/40.13 cnf(matrix-2744, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6272), _u6274)) | ~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, _u6270)), _u6272)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6270)), _u6274))) )).
% 39.89/40.13 cnf(matrix-2745, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6273), _u6275)) | 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, _u6271)), _u6273)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6271)), _u6275))) )).
% 39.89/40.13 cnf(matrix-2746, plain, ( ~class_Rings_Oidom(_u6276) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6276), _u6277), _u6277) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6276), _u6278), _u6278)) | ( _u6277 = _u6278) | ( _u6277 = hAPP(c_Groups_Ouminus__class_Ouminus(_u6276), _u6278)) )).
% 39.89/40.13 cnf(matrix-2747, plain, ( ~class_Rings_Oidom(_u6276) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6276), _u6277), _u6277) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6276), _u6278), _u6278)) | ( _u6277 != _u6278) )).
% 39.89/40.13 cnf(matrix-2748, plain, ( ~class_Rings_Oidom(_u6276) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6276), _u6277), _u6277) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6276), _u6278), _u6278)) | ( _u6277 != hAPP(c_Groups_Ouminus__class_Ouminus(_u6276), _u6278)) )).
% 39.89/40.13 cnf(matrix-2749, plain, ( ~class_Rings_Oring(_u6279) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6279), hAPP(c_Groups_Ouminus__class_Ouminus(_u6279), _u6280)), hAPP(c_Groups_Ouminus__class_Ouminus(_u6279), _u6281)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6279), _u6280), _u6281)) )).
% 39.89/40.13 cnf(matrix-2750, plain, ( ~class_Rings_Oring(_u6282) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6282), hAPP(c_Groups_Ouminus__class_Ouminus(_u6282), _u6283)), _u6284) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6282), _u6283), hAPP(c_Groups_Ouminus__class_Ouminus(_u6282), _u6284))) )).
% 39.89/40.13 cnf(matrix-2751, plain, ( ~class_Rings_Oring(_u6285) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u6285), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6285), _u6286), _u6287)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6285), hAPP(c_Groups_Ouminus__class_Ouminus(_u6285), _u6286)), _u6287)) )).
% 39.89/40.13 cnf(matrix-2752, plain, ( ~class_Rings_Oring(_u6288) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u6288), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6288), _u6289), _u6290)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6288), _u6289), hAPP(c_Groups_Ouminus__class_Ouminus(_u6288), _u6290))) )).
% 39.89/40.13 cnf(matrix-2753, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6296), _u6298)) | ~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, _u6294)), _u6296)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6294)), _u6298))) )).
% 39.89/40.13 cnf(matrix-2754, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6297), _u6299)) | 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, _u6295)), _u6297)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6295)), _u6299))) )).
% 39.89/40.13 cnf(matrix-2755, plain, ( c_Equiv__Relations_Oequivp(_u6300, c_fequal) )).
% 39.89/40.13 cnf(matrix-2756, plain, ( ~c_Equiv__Relations_Oequivp(_u6315, _u6317) | ~hBOOL(hAPP(hAPP(_u6317, _u6309), _u6307)) | ( hAPP(_u6317, _u6309) = hAPP(_u6317, _u6307)) )).
% 39.89/40.13 cnf(matrix-2757, plain, ( ~c_Equiv__Relations_Oequivp(_u6315, _u6317) | ( hAPP(_u6317, _u6310) != hAPP(_u6317, _u6308)) | hBOOL(hAPP(hAPP(_u6317, _u6310), _u6308)) )).
% 39.89/40.13 cnf(matrix-2758, plain, ( c_Equiv__Relations_Oequivp(_u6316, _u6318) | hBOOL(hAPP(hAPP(_u6318, skolem121(_u6318)), skolem122(_u6318))) | ( hAPP(_u6318, skolem123(_u6318)) = hAPP(_u6318, skolem124(_u6318))) )).
% 39.89/40.13 cnf(matrix-2759, plain, ( c_Equiv__Relations_Oequivp(_u6316, _u6318) | hBOOL(hAPP(hAPP(_u6318, skolem121(_u6318)), skolem122(_u6318))) | ~hBOOL(hAPP(hAPP(_u6318, skolem123(_u6318)), skolem124(_u6318))) )).
% 39.89/40.13 cnf(matrix-2760, plain, ( c_Equiv__Relations_Oequivp(_u6316, _u6318) | ( hAPP(_u6318, skolem121(_u6318)) != hAPP(_u6318, skolem122(_u6318))) | ( hAPP(_u6318, skolem123(_u6318)) = hAPP(_u6318, skolem124(_u6318))) )).
% 39.89/40.13 cnf(matrix-2761, plain, ( c_Equiv__Relations_Oequivp(_u6316, _u6318) | ( hAPP(_u6318, skolem121(_u6318)) != hAPP(_u6318, skolem122(_u6318))) | ~hBOOL(hAPP(hAPP(_u6318, skolem123(_u6318)), skolem124(_u6318))) )).
% 39.89/40.13 cnf(matrix-2762, plain, ( hBOOL(hAPP(hAPP(_u6320, _u6321), _u6321)) | ~c_Equiv__Relations_Oequivp(_u6319, _u6320) )).
% 39.89/40.13 cnf(matrix-2763, plain, ( ~hBOOL(hAPP(hAPP(_u6323, _u6324), _u6325)) | hBOOL(hAPP(hAPP(_u6323, _u6325), _u6324)) | ~c_Equiv__Relations_Oequivp(_u6322, _u6323) )).
% 39.89/40.13 cnf(matrix-2764, plain, ( ~hBOOL(hAPP(hAPP(_u6327, _u6328), _u6329)) | ~hBOOL(hAPP(hAPP(_u6327, _u6329), _u6330)) | hBOOL(hAPP(hAPP(_u6327, _u6328), _u6330)) | ~c_Equiv__Relations_Oequivp(_u6326, _u6327) )).
% 39.89/40.13 cnf(matrix-2765, plain, ( ~class_Groups_Oab__semigroup__mult(_u6331) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6331), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6331), _u6332), _u6333)), _u6334) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6331), _u6332), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6331), _u6333), _u6334))) )).
% 39.89/40.13 cnf(matrix-2766, plain, ( ( hAPP(c_Set_Ovimage(_u6335, _u6335, c_COMBI(_u6335)), _u6336) = _u6336) )).
% 39.89/40.13 cnf(matrix-2767, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u6337) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6337), _u6338), _u6338) = _u6338) )).
% 39.89/40.13 cnf(matrix-2768, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u6339) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6339), _u6340), _u6340) = _u6340) )).
% 39.89/40.13 cnf(matrix-2769, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u6341) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6341), _u6342), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6341), _u6342), _u6343)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6341), _u6342), _u6343)) )).
% 39.89/40.13 cnf(matrix-2770, plain, ( ( _u6344 != hAPP(c_Nat_OSuc, _u6344)) )).
% 39.89/40.13 cnf(matrix-2771, plain, ( ( hAPP(c_Nat_OSuc, _u6345) != _u6345) )).
% 39.89/40.13 cnf(matrix-2772, plain, ( ( hAPP(c_Nat_OSuc, _u6348) != hAPP(c_Nat_OSuc, _u6350)) | ( _u6348 = _u6350) )).
% 39.89/40.13 cnf(matrix-2773, plain, ( ( _u6349 != _u6351) | ( hAPP(c_Nat_OSuc, _u6349) = hAPP(c_Nat_OSuc, _u6351)) )).
% 39.89/40.13 cnf(matrix-2774, plain, ( ( _u6357 = _u6359) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6355)), _u6357) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6355)), _u6359)) )).
% 39.89/40.13 cnf(matrix-2775, plain, ( ( _u6358 != _u6360) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6356)), _u6358) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6356)), _u6360)) )).
% 39.89/40.13 cnf(matrix-2776, plain, ( ( hAPP(c_Nat_OSuc, _u6361) != hAPP(c_Nat_OSuc, _u6362)) | ( _u6361 = _u6362) )).
% 39.89/40.13 cnf(matrix-2777, plain, ( hBOOL(hAPP(_u6374, hAPP(_u6372, _u6376))) | ~hBOOL(hAPP(hAPP(c_Set_Ovimage(_u6368, _u6370, _u6372), _u6374), _u6376)) )).
% 39.89/40.13 cnf(matrix-2778, plain, ( ~hBOOL(hAPP(_u6375, hAPP(_u6373, _u6377))) | hBOOL(hAPP(hAPP(c_Set_Ovimage(_u6369, _u6371, _u6373), _u6375), _u6377)) )).
% 39.89/40.13 cnf(matrix-2779, plain, ( c_Orderings_Oorder__class_Omono(tc_Nat_Onat, tc_Nat_Onat, c_Nat_OSuc) )).
% 39.89/40.13 cnf(matrix-2780, plain, ( hBOOL(hAPP(hAPP(c_member(_u6387), hAPP(_u6389, _u6385)), _u6391)) | ~hBOOL(hAPP(hAPP(c_member(_u6383), _u6385), hAPP(c_Set_Ovimage(_u6383, _u6387, _u6389), _u6391))) )).
% 39.89/40.13 cnf(matrix-2781, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u6388), hAPP(_u6390, _u6386)), _u6392)) | hBOOL(hAPP(hAPP(c_member(_u6384), _u6386), hAPP(c_Set_Ovimage(_u6384, _u6388, _u6390), _u6392))) )).
% 39.89/40.13 cnf(matrix-2782, plain, ( hBOOL(hAPP(hAPP(c_member(_u6395), hAPP(_u6396, _u6394)), _u6397)) | ~hBOOL(hAPP(hAPP(c_member(_u6393), _u6394), hAPP(c_Set_Ovimage(_u6393, _u6395, _u6396), _u6397))) )).
% 39.89/40.13 cnf(matrix-2783, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u6398), hAPP(_u6399, _u6400)), _u6401)) | hBOOL(hAPP(hAPP(c_member(_u6402), _u6400), hAPP(c_Set_Ovimage(_u6402, _u6398, _u6399), _u6401))) )).
% 39.89/40.13 cnf(matrix-2784, plain, ( ~class_Orderings_Oorder(_u6405) | ~c_Orderings_Oorder__class_Omono(tc_Nat_Onat, _u6405, _u6406) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6405), hAPP(_u6406, _u6403)), hAPP(_u6406, hAPP(c_Nat_OSuc, _u6403)))) )).
% 39.89/40.13 cnf(matrix-2785, plain, ( ~class_Orderings_Oorder(_u6405) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6405), hAPP(_u6406, skolem125(_u6406, _u6405))), hAPP(_u6406, hAPP(c_Nat_OSuc, skolem125(_u6406, _u6405))))) | c_Orderings_Oorder__class_Omono(tc_Nat_Onat, _u6405, _u6406) )).
% 39.89/40.13 cnf(matrix-2786, plain, ( ( hAPP(c_Set_Ovimage(_u6407, _u6408, _u6409), c_Orderings_Obot__class_Obot(tc_fun(_u6408, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u6407, tc_HOL_Obool))) )).
% 39.89/40.13 cnf(matrix-2787, plain, ( ~class_Rings_Ocomm__semiring__1(_u6410) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6410), _u6411), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6410), _u6412), _u6413)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6410), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6410), _u6411), _u6412)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6410), _u6411), _u6413))) )).
% 39.89/40.13 cnf(matrix-2788, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u6414) | ( _u6415 = _u6416) | ( _u6417 = _u6418) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6414), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6414), _u6415), _u6417)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6414), _u6416), _u6418)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6414), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6414), _u6415), _u6418)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6414), _u6416), _u6417))) )).
% 39.89/40.13 cnf(matrix-2789, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u6414) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6414), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6414), _u6415), _u6417)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6414), _u6416), _u6418)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6414), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6414), _u6415), _u6418)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6414), _u6416), _u6417))) | ( _u6415 != _u6416) )).
% 39.89/40.13 cnf(matrix-2790, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u6414) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6414), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6414), _u6415), _u6417)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6414), _u6416), _u6418)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6414), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6414), _u6415), _u6418)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6414), _u6416), _u6417))) | ( _u6417 != _u6418) )).
% 39.89/40.13 cnf(matrix-2791, plain, ( ~class_Rings_Ocomm__semiring__1(_u6419) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6419), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6419), _u6420), _u6421)), _u6422) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6419), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6419), _u6420), _u6422)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6419), _u6421), _u6422))) )).
% 39.89/40.13 cnf(matrix-2792, plain, ( ~class_Rings_Ocomm__semiring__1(_u6423) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6423), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6423), _u6424), _u6425)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6423), _u6426), _u6425)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6423), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6423), _u6424), _u6426)), _u6425)) )).
% 39.89/40.13 cnf(matrix-2793, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u6427) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6427), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6427), _u6428), _u6429)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6427), _u6430), _u6431)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6427), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6427), _u6428), _u6431)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6427), _u6430), _u6429))) | ( _u6428 = _u6430) | ( _u6429 = _u6431) )).
% 39.89/40.13 cnf(matrix-2794, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u6427) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6427), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6427), _u6428), _u6429)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6427), _u6430), _u6431)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6427), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6427), _u6428), _u6431)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6427), _u6430), _u6429))) | ( _u6428 != _u6430) )).
% 39.89/40.13 cnf(matrix-2795, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u6427) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6427), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6427), _u6428), _u6429)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6427), _u6430), _u6431)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6427), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6427), _u6428), _u6431)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6427), _u6430), _u6429))) | ( _u6429 != _u6431) )).
% 39.89/40.13 cnf(matrix-2796, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6432, tc_HOL_Obool)), _u6433), _u6434)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6435, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u6435, _u6432, _u6436), _u6433)), hAPP(c_Set_Ovimage(_u6435, _u6432, _u6436), _u6434))) )).
% 39.89/40.13 cnf(matrix-2797, plain, ( ( hAPP(c_Set_Ovimage(_u6437, _u6438, _u6439), c_Orderings_Otop__class_Otop(tc_fun(_u6438, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u6437, tc_HOL_Obool))) )).
% 39.89/40.13 cnf(matrix-2798, plain, ( ( hAPP(c_Set_Ovimage(_u6440, _u6441, _u6442), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6441, tc_HOL_Obool)), _u6443), _u6444)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6440, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u6440, _u6441, _u6442), _u6443)), hAPP(c_Set_Ovimage(_u6440, _u6441, _u6442), _u6444))) )).
% 39.89/40.13 cnf(matrix-2799, plain, ( ( hAPP(c_Set_Ovimage(_u6445, _u6446, _u6447), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6446, tc_HOL_Obool)), _u6448), _u6449)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6445, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u6445, _u6446, _u6447), _u6448)), hAPP(c_Set_Ovimage(_u6445, _u6446, _u6447), _u6449))) )).
% 39.89/40.13 cnf(matrix-2800, plain, ( ( hAPP(c_Set_Ovimage(_u6450, _u6451, hAPP(c_Fun_Ocomp(_u6452, _u6451, _u6450, _u6453), _u6454)), _u6455) = hAPP(c_Set_Ovimage(_u6450, _u6452, _u6454), hAPP(c_Set_Ovimage(_u6452, _u6451, _u6453), _u6455))) )).
% 39.89/40.13 cnf(matrix-2801, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6458), _u6460)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6460), hAPP(c_Nat_OSuc, _u6458))) )).
% 39.89/40.13 cnf(matrix-2802, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6461), hAPP(c_Nat_OSuc, _u6459))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6459), _u6461)) )).
% 39.89/40.13 cnf(matrix-2803, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6464), hAPP(c_Nat_OSuc, _u6466))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6464), _u6466)) | ( _u6464 = _u6466) )).
% 39.89/40.13 cnf(matrix-2804, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6465), hAPP(c_Nat_OSuc, _u6467))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6465), _u6467)) )).
% 39.89/40.13 cnf(matrix-2805, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6465), hAPP(c_Nat_OSuc, _u6467))) | ( _u6465 != _u6467) )).
% 39.89/40.13 cnf(matrix-2806, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6470)), hAPP(c_Nat_OSuc, _u6472))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6470), _u6472)) )).
% 39.89/40.13 cnf(matrix-2807, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6471), _u6473)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6471)), hAPP(c_Nat_OSuc, _u6473))) )).
% 39.89/40.13 cnf(matrix-2808, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6474), _u6475)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6474), hAPP(c_Nat_OSuc, _u6475))) | ( _u6474 = _u6475) )).
% 39.89/40.13 cnf(matrix-2809, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6474), _u6475)) | ( _u6474 != _u6475) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6474), hAPP(c_Nat_OSuc, _u6475))) )).
% 39.89/40.13 cnf(matrix-2810, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6476), _u6477)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6476), hAPP(c_Nat_OSuc, _u6477))) | ( _u6477 = _u6476) )).
% 39.89/40.13 cnf(matrix-2811, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6478), _u6479)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6478), hAPP(c_Nat_OSuc, _u6479))) )).
% 39.89/40.13 cnf(matrix-2812, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6480), _u6481)) | ( hAPP(c_Nat_OSuc, _u6480) = _u6481) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6480)), _u6481)) )).
% 39.89/40.13 cnf(matrix-2813, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6482), _u6483)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6483), _u6484)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6482)), _u6484)) )).
% 39.89/40.13 cnf(matrix-2814, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6485), hAPP(c_Nat_OSuc, _u6486))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6485), _u6486)) | ( _u6485 = _u6486) )).
% 39.89/40.13 cnf(matrix-2815, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6487)), _u6488)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6487), _u6488)) )).
% 39.89/40.13 cnf(matrix-2816, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6489)), hAPP(c_Nat_OSuc, _u6490))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6489), _u6490)) )).
% 39.89/40.13 cnf(matrix-2817, plain, ( ~class_Groups_Omonoid__mult(_u6491) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6491), c_Groups_Oone__class_Oone(_u6491)), _u6492) = _u6492) )).
% 39.89/40.13 cnf(matrix-2818, plain, ( ~class_Groups_Ocomm__monoid__mult(_u6493) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6493), c_Groups_Oone__class_Oone(_u6493)), _u6494) = _u6494) )).
% 39.89/40.13 cnf(matrix-2819, plain, ( ~class_Groups_Omonoid__mult(_u6495) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6495), _u6496), c_Groups_Oone__class_Oone(_u6495)) = _u6496) )).
% 39.89/40.13 cnf(matrix-2820, plain, ( ~class_Groups_Ocomm__monoid__mult(_u6497) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6497), _u6498), c_Groups_Oone__class_Oone(_u6497)) = _u6498) )).
% 39.89/40.13 cnf(matrix-2821, plain, ( ~class_Rings_Ocomm__semiring__1(_u6499) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6499), _u6500), c_Groups_Oone__class_Oone(_u6499)) = _u6500) )).
% 39.89/40.13 cnf(matrix-2822, plain, ( ~class_Rings_Ocomm__semiring__1(_u6501) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6501), c_Groups_Oone__class_Oone(_u6501)), _u6502) = _u6502) )).
% 39.89/40.13 cnf(matrix-2823, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6503)), _u6504) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6503), hAPP(c_Nat_OSuc, _u6504))) )).
% 39.89/40.13 cnf(matrix-2824, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6505)), _u6506) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6505), _u6506))) )).
% 39.89/40.13 cnf(matrix-2825, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6507), hAPP(c_Nat_OSuc, _u6508)) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6507), _u6508))) )).
% 39.89/40.13 cnf(matrix-2826, plain, ( ( hAPP(c_Set_Ovimage(_u6509, _u6510, _u6511), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6510, tc_HOL_Obool)), _u6512), _u6513)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6509, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u6509, _u6510, _u6511), _u6512)), hAPP(c_Set_Ovimage(_u6509, _u6510, _u6511), _u6513))) )).
% 39.89/40.13 cnf(matrix-2827, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6514)), _u6514)) )).
% 39.89/40.13 cnf(matrix-2828, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6517), _u6519)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6519)), _u6517)) )).
% 39.89/40.13 cnf(matrix-2829, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6520)), _u6518)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6518), _u6520)) )).
% 39.89/40.13 cnf(matrix-2830, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6523), hAPP(c_Nat_OSuc, _u6525))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6523), _u6525)) | ( _u6523 = hAPP(c_Nat_OSuc, _u6525)) )).
% 39.89/40.13 cnf(matrix-2831, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6524), hAPP(c_Nat_OSuc, _u6526))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6524), _u6526)) )).
% 39.89/40.13 cnf(matrix-2832, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6524), hAPP(c_Nat_OSuc, _u6526))) | ( _u6524 != hAPP(c_Nat_OSuc, _u6526)) )).
% 39.89/40.13 cnf(matrix-2833, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6529)), hAPP(c_Nat_OSuc, _u6531))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6529), _u6531)) )).
% 39.89/40.13 cnf(matrix-2834, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6530), _u6532)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6530)), hAPP(c_Nat_OSuc, _u6532))) )).
% 39.89/40.13 cnf(matrix-2835, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6533), _u6534)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6533), hAPP(c_Nat_OSuc, _u6534))) )).
% 39.89/40.13 cnf(matrix-2836, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6535), hAPP(c_Nat_OSuc, _u6536))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6535), _u6536)) | ( _u6535 = hAPP(c_Nat_OSuc, _u6536)) )).
% 39.89/40.13 cnf(matrix-2837, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6537)), _u6538)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6537), _u6538)) )).
% 39.89/40.13 cnf(matrix-2838, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6539)), hAPP(c_Nat_OSuc, _u6540)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6539), _u6540)) )).
% 39.89/40.13 cnf(matrix-2839, 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, _u6541)), _u6542)), hAPP(c_Nat_OSuc, _u6543)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6541), _u6542)), _u6543)) )).
% 39.89/40.13 cnf(matrix-2840, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6544), _u6545)), _u6546) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6544), _u6546)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6545), _u6546))) )).
% 39.89/40.13 cnf(matrix-2841, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6547), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6548), _u6549)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6547), _u6548)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6547), _u6549))) )).
% 39.89/40.13 cnf(matrix-2842, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6550), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6550), _u6550))) )).
% 39.89/40.13 cnf(matrix-2843, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6551), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6551), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6551), _u6551)))) )).
% 39.89/40.13 cnf(matrix-2844, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6552), _u6553)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6552), _u6554)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6553), _u6554))) )).
% 39.89/40.13 cnf(matrix-2845, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6555), _u6556)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6557), _u6555)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6557), _u6556))) )).
% 39.89/40.13 cnf(matrix-2846, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6558), _u6559)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6560), _u6561)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6558), _u6560)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6559), _u6561))) )).
% 39.89/40.13 cnf(matrix-2847, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6562), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6563), _u6564)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6562), _u6563)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6562), _u6564))) )).
% 39.89/40.13 cnf(matrix-2848, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6565), _u6566)), _u6567) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6565), _u6567)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6566), _u6567))) )).
% 39.89/40.13 cnf(matrix-2849, plain, ( ( hAPP(c_Set_Ovimage(_u6568, _u6569, _u6570), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6569, tc_HOL_Obool)), _u6571)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6568, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u6568, _u6569, _u6570), _u6571))) )).
% 39.89/40.13 cnf(matrix-2850, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u6572) = _u6572) )).
% 39.89/40.13 cnf(matrix-2851, plain, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6575), _u6577)) | ( _u6575 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 39.89/40.13 cnf(matrix-2852, plain, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6575), _u6577)) | ( _u6577 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 39.89/40.13 cnf(matrix-2853, plain, ( ( _u6576 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u6578 != 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), _u6576), _u6578)) )).
% 39.89/40.13 cnf(matrix-2854, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6579), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u6579) )).
% 39.89/40.13 cnf(matrix-2855, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6582), _u6584) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u6582 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 39.89/40.13 cnf(matrix-2856, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6582), _u6584) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u6584 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 39.89/40.13 cnf(matrix-2857, plain, ( ( _u6583 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u6585 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6583), _u6585) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 39.89/40.13 cnf(matrix-2858, plain, ( ~c_Natural_Oevaln(_u6586, _u6587, _u6588, _u6589) | c_Natural_Oevaln(_u6586, _u6587, hAPP(c_Nat_OSuc, _u6588), _u6589) )).
% 39.89/40.13 cnf(matrix-2859, plain, ( ~class_Rings_Olinordered__semidom(_u6590) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6590), c_Groups_Oone__class_Oone(_u6590)), _u6591)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6590), c_Groups_Oone__class_Oone(_u6590)), _u6592)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6590), c_Groups_Oone__class_Oone(_u6590)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6590), _u6591), _u6592))) )).
% 39.89/40.13 cnf(matrix-2860, plain, ( ~class_Rings_Oring(_u6593) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6593), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6593), _u6594), _u6595)), _u6596) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6593), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6593), _u6597), _u6595)), _u6598)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6593), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6593), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6593), _u6594), _u6597)), _u6595)), _u6596) = _u6598) )).
% 39.89/40.13 cnf(matrix-2861, plain, ( ~class_Rings_Oring(_u6593) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6593), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6593), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6593), _u6594), _u6597)), _u6595)), _u6596) != _u6598) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6593), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6593), _u6594), _u6595)), _u6596) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6593), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6593), _u6597), _u6595)), _u6598)) )).
% 39.89/40.13 cnf(matrix-2862, plain, ( ~class_Rings_Oring(_u6599) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6599), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6599), _u6600), _u6601)), _u6602) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6599), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6599), _u6603), _u6601)), _u6604)) | ( _u6602 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6599), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6599), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6599), _u6603), _u6600)), _u6601)), _u6604)) )).
% 39.89/40.13 cnf(matrix-2863, plain, ( ~class_Rings_Oring(_u6599) | ( _u6602 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6599), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6599), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6599), _u6603), _u6600)), _u6601)), _u6604)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6599), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6599), _u6600), _u6601)), _u6602) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6599), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6599), _u6603), _u6601)), _u6604)) )).
% 39.89/40.13 cnf(matrix-2864, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u6605) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6605), _u6606), _u6606) != c_Groups_Oone__class_Oone(_u6605)) | ( _u6606 = c_Groups_Oone__class_Oone(_u6605)) | ( _u6606 = hAPP(c_Groups_Ouminus__class_Ouminus(_u6605), c_Groups_Oone__class_Oone(_u6605))) )).
% 39.89/40.13 cnf(matrix-2865, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u6605) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6605), _u6606), _u6606) = c_Groups_Oone__class_Oone(_u6605)) | ( _u6606 != c_Groups_Oone__class_Oone(_u6605)) )).
% 39.89/40.13 cnf(matrix-2866, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u6605) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6605), _u6606), _u6606) = c_Groups_Oone__class_Oone(_u6605)) | ( _u6606 != hAPP(c_Groups_Ouminus__class_Ouminus(_u6605), c_Groups_Oone__class_Oone(_u6605))) )).
% 39.89/40.13 cnf(matrix-2867, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u6607) | c_Finite__Set_Ofun__left__comm__idem(_u6607, _u6607, c_Groups_Otimes__class_Otimes(_u6607)) )).
% 39.89/40.13 cnf(matrix-2868, plain, ( ( hAPP(c_Set_Ovimage(_u6608, _u6609, _u6610), hAPP(c_Set_OCollect(_u6609), _u6611)) = hAPP(c_Set_OCollect(_u6608), hAPP(hAPP(c_COMBB(_u6609, tc_HOL_Obool, _u6608), _u6611), _u6610))) )).
% 39.89/40.13 cnf(matrix-2869, plain, ( ~c_Hoare__Mirabelle_Otriple__valid(_u6612, hAPP(c_Nat_OSuc, _u6613), _u6614) | c_Hoare__Mirabelle_Otriple__valid(_u6612, _u6613, _u6614) )).
% 39.89/40.13 cnf(matrix-2870, plain, ( ( hAPP(c_Set_Ovimage(_u6615, _u6616, _u6617), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6618, tc_fun(_u6616, tc_HOL_Obool)), _u6619), _u6620)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6618, tc_fun(_u6615, tc_HOL_Obool)), _u6619), hAPP(hAPP(c_COMBB(tc_fun(_u6616, tc_HOL_Obool), tc_fun(_u6615, tc_HOL_Obool), _u6618), c_Set_Ovimage(_u6615, _u6616, _u6617)), _u6620))) )).
% 39.89/40.13 cnf(matrix-2871, plain, ( ~class_Rings_Osemiring__0(_u6621) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6621), _u6622), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6623, _u6621), _u6624), _u6625)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6623, _u6621), hAPP(hAPP(c_COMBB(_u6621, _u6621, _u6623), hAPP(c_Groups_Otimes__class_Otimes(_u6621), _u6622)), _u6624)), _u6625)) )).
% 39.89/40.13 cnf(matrix-2872, plain, ( ~class_Rings_Osemiring__0(_u6626) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6626), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6627, _u6626), _u6628), _u6629)), _u6630) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6627, _u6626), hAPP(hAPP(c_COMBC(_u6627, _u6626, _u6626), hAPP(hAPP(c_COMBB(_u6626, tc_fun(_u6626, _u6626), _u6627), c_Groups_Otimes__class_Otimes(_u6626)), _u6628)), _u6630)), _u6629)) )).
% 39.89/40.13 cnf(matrix-2873, plain, ( ~class_Rings_Osemiring__0(_u6631) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6631), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6632, _u6631), _u6633), _u6634)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6635, _u6631), _u6636), _u6637)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6632, _u6631), hAPP(hAPP(c_COMBC(_u6632, tc_fun(_u6635, tc_HOL_Obool), _u6631), hAPP(hAPP(c_COMBB(tc_fun(_u6635, _u6631), tc_fun(tc_fun(_u6635, tc_HOL_Obool), _u6631), _u6632), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6635, _u6631)), hAPP(hAPP(c_COMBC(_u6632, tc_fun(_u6635, _u6631), tc_fun(_u6635, _u6631)), hAPP(hAPP(c_COMBB(tc_fun(_u6631, _u6631), tc_fun(tc_fun(_u6635, _u6631), tc_fun(_u6635, _u6631)), _u6632), c_COMBB(_u6631, _u6631, _u6635)), hAPP(hAPP(c_COMBB(_u6631, tc_fun(_u6631, _u6631), _u6632), c_Groups_Otimes__class_Otimes(_u6631)), _u6633))), _u6636))), _u6637)), _u6634)) )).
% 39.89/40.13 cnf(matrix-2874, plain, ( ~class_Rings_Oordered__ring(_u6638) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6638), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6638), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6638), _u6639), _u6640)), _u6641)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6638), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6638), _u6642), _u6640)), _u6643))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6638), _u6641), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6638), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6638), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6638), _u6642), _u6639)), _u6640)), _u6643))) )).
% 39.89/40.13 cnf(matrix-2875, plain, ( ~class_Rings_Oordered__ring(_u6638) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6638), _u6641), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6638), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6638), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6638), _u6642), _u6639)), _u6640)), _u6643))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6638), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6638), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6638), _u6639), _u6640)), _u6641)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6638), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6638), _u6642), _u6640)), _u6643))) )).
% 39.89/40.13 cnf(matrix-2876, plain, ( ~class_Rings_Oordered__ring(_u6644) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6644), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6644), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6644), _u6645), _u6646)), _u6647)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6644), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6644), _u6648), _u6646)), _u6649))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6644), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6644), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6644), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6644), _u6645), _u6648)), _u6646)), _u6647)), _u6649)) )).
% 39.89/40.13 cnf(matrix-2877, plain, ( ~class_Rings_Oordered__ring(_u6644) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6644), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6644), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6644), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6644), _u6645), _u6648)), _u6646)), _u6647)), _u6649)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6644), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6644), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6644), _u6645), _u6646)), _u6647)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6644), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6644), _u6648), _u6646)), _u6649))) )).
% 39.89/40.13 cnf(matrix-2878, plain, ( ~class_Rings_Oordered__ring(_u6650) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6650), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6650), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6650), _u6651), _u6652)), _u6653)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6650), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6650), _u6654), _u6652)), _u6655))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6650), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6650), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6650), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6650), _u6651), _u6654)), _u6652)), _u6653)), _u6655)) )).
% 39.89/40.13 cnf(matrix-2879, plain, ( ~class_Rings_Oordered__ring(_u6650) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6650), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6650), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6650), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6650), _u6651), _u6654)), _u6652)), _u6653)), _u6655)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6650), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6650), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6650), _u6651), _u6652)), _u6653)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6650), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6650), _u6654), _u6652)), _u6655))) )).
% 39.89/40.13 cnf(matrix-2880, plain, ( ~class_Rings_Oordered__ring(_u6656) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6656), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6656), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6656), _u6657), _u6658)), _u6659)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6656), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6656), _u6660), _u6658)), _u6661))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6656), _u6659), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6656), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6656), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6656), _u6660), _u6657)), _u6658)), _u6661))) )).
% 39.89/40.13 cnf(matrix-2881, plain, ( ~class_Rings_Oordered__ring(_u6656) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6656), _u6659), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6656), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6656), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6656), _u6660), _u6657)), _u6658)), _u6661))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6656), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6656), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6656), _u6657), _u6658)), _u6659)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6656), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6656), _u6660), _u6658)), _u6661))) )).
% 39.89/40.13 cnf(matrix-2882, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6662, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u6663, _u6662, _u6664), hAPP(c_Set_Ovimage(_u6663, _u6662, _u6664), _u6665))), _u6665)) )).
% 39.89/40.13 cnf(matrix-2883, plain, ( ( hAPP(c_Set_Oimage(_u6666, _u6667, _u6668), c_Orderings_Otop__class_Otop(tc_fun(_u6666, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u6667, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u6666, _u6667, _u6668), hAPP(c_Set_Ovimage(_u6666, _u6667, _u6668), _u6669)) = _u6669) )).
% 39.89/40.13 cnf(matrix-2884, plain, ( ~class_Rings_Ocomm__semiring__1(_u6670) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6670), _u6671), _u6671) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6670), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6670), c_Groups_Oone__class_Oone(_u6670)), c_Groups_Oone__class_Oone(_u6670))), _u6671)) )).
% 39.89/40.13 cnf(matrix-2885, plain, ( ~class_Rings_Ocomm__semiring__1(_u6672) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6672), _u6673), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6672), _u6674), _u6673)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6672), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6672), _u6674), c_Groups_Oone__class_Oone(_u6672))), _u6673)) )).
% 39.89/40.13 cnf(matrix-2886, plain, ( ~class_Rings_Ocomm__semiring__1(_u6675) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6675), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6675), _u6676), _u6677)), _u6677) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6675), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6675), _u6676), c_Groups_Oone__class_Oone(_u6675))), _u6677)) )).
% 39.89/40.13 cnf(matrix-2887, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6682), _u6684)) | ( _u6684 = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6682), skolem126(_u6684, _u6682)))) )).
% 39.89/40.13 cnf(matrix-2888, plain, ( ( _u6685 != hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6683), _u6679))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6683), _u6685)) )).
% 39.89/40.13 cnf(matrix-2889, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6686), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6687), _u6686)))) )).
% 39.89/40.13 cnf(matrix-2890, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6688), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6688), _u6689)))) )).
% 39.89/40.13 cnf(matrix-2891, plain, ( ~class_Rings_Ocomm__ring__1(_u6690) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u6690), _u6691) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6690), hAPP(c_Groups_Ouminus__class_Ouminus(_u6690), c_Groups_Oone__class_Oone(_u6690))), _u6691)) )).
% 39.89/40.13 cnf(matrix-2892, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6694), _u6696)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6694)), _u6696)) )).
% 39.89/40.13 cnf(matrix-2893, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6695)), _u6697)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6695), _u6697)) )).
% 39.89/40.13 cnf(matrix-2894, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6700), hAPP(c_Nat_OSuc, _u6702))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6700), _u6702)) )).
% 39.89/40.13 cnf(matrix-2895, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6701), _u6703)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6701), hAPP(c_Nat_OSuc, _u6703))) )).
% 39.89/40.13 cnf(matrix-2896, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6706)), _u6708)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6706), _u6708)) )).
% 39.89/40.13 cnf(matrix-2897, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6707), _u6709)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6707)), _u6709)) )).
% 39.89/40.13 cnf(matrix-2898, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6710), _u6711)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6710), hAPP(c_Nat_OSuc, _u6711))) )).
% 39.89/40.13 cnf(matrix-2899, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6712), _u6713)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6712)), _u6713)) )).
% 39.89/40.13 cnf(matrix-2900, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6714), _u6715)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6715), hAPP(c_Nat_OSuc, _u6714))) | ( _u6715 = _u6714) )).
% 39.89/40.13 cnf(matrix-2901, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6714), _u6715)) | ( _u6715 != _u6714) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6715), hAPP(c_Nat_OSuc, _u6714))) )).
% 39.89/40.13 cnf(matrix-2902, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6716)), _u6717)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6716), _u6717)) )).
% 39.89/40.13 cnf(matrix-2903, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6718), _u6719)), hAPP(c_Nat_OSuc, _u6718))) )).
% 39.89/40.13 cnf(matrix-2904, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6720), _u6721)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6721)), _u6720) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6721), _u6720))) )).
% 39.89/40.13 cnf(matrix-2905, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6722)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u6722) )).
% 39.89/40.13 cnf(matrix-2906, plain, ( ( hAPP(c_Set_Ovimage(_u6723, _u6724, _u6725), _u6726) = hAPP(c_Set_OCollect(_u6723), hAPP(hAPP(c_COMBC(_u6723, tc_fun(_u6724, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u6724, tc_fun(tc_fun(_u6724, tc_HOL_Obool), tc_HOL_Obool), _u6723), c_member(_u6724)), _u6725)), _u6726))) )).
% 39.89/40.13 cnf(matrix-2907, plain, ( ( hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6727) = hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6727))) )).
% 39.89/40.13 cnf(matrix-2908, plain, ( ( hAPP(_u6728, _u6729) != c_Option_Ooption_ONone(_u6730)) | ( c_Map_Omap__comp(_u6730, _u6731, _u6732, _u6733, _u6728, _u6729) = c_Option_Ooption_ONone(_u6731)) )).
% 39.89/40.13 cnf(matrix-2909, plain, ( ( c_Map_Omap__comp(_u6743, _u6745, _u6747, _u6749, _u6751, _u6753) != hAPP(c_Option_Ooption_OSome(_u6745), _u6755)) | ( hAPP(_u6751, _u6753) = hAPP(c_Option_Ooption_OSome(_u6743), skolem127(_u6755, _u6753, _u6751, _u6749, _u6747, _u6745, _u6743))) )).
% 39.89/40.13 cnf(matrix-2910, plain, ( ( c_Map_Omap__comp(_u6743, _u6745, _u6747, _u6749, _u6751, _u6753) != hAPP(c_Option_Ooption_OSome(_u6745), _u6755)) | ( hAPP(_u6749, skolem127(_u6755, _u6753, _u6751, _u6749, _u6747, _u6745, _u6743)) = hAPP(c_Option_Ooption_OSome(_u6745), _u6755)) )).
% 39.89/40.13 cnf(matrix-2911, plain, ( ( hAPP(_u6752, _u6754) != hAPP(c_Option_Ooption_OSome(_u6744), _u6735)) | ( hAPP(_u6750, _u6735) != hAPP(c_Option_Ooption_OSome(_u6746), _u6756)) | ( c_Map_Omap__comp(_u6744, _u6746, _u6748, _u6750, _u6752, _u6754) = hAPP(c_Option_Ooption_OSome(_u6746), _u6756)) )).
% 39.89/40.13 cnf(matrix-2912, plain, ( ( hAPP(_u6757, _u6758) != hAPP(c_Option_Ooption_OSome(_u6759), _u6760)) | ( c_Map_Omap__comp(_u6759, _u6761, _u6762, _u6763, _u6757, _u6758) = hAPP(_u6763, _u6760)) )).
% 39.89/40.13 cnf(matrix-2913, plain, ( ( hAPP(_u6775, _u6771) = _u6777) | ~hBOOL(hAPP(hAPP(c_member(_u6769), _u6771), hAPP(c_Set_Ovimage(_u6769, _u6773, _u6775), hAPP(hAPP(c_Set_Oinsert(_u6773), _u6777), c_Orderings_Obot__class_Obot(tc_fun(_u6773, tc_HOL_Obool)))))) )).
% 39.89/40.13 cnf(matrix-2914, plain, ( ( hAPP(_u6776, _u6772) != _u6778) | hBOOL(hAPP(hAPP(c_member(_u6770), _u6772), hAPP(c_Set_Ovimage(_u6770, _u6774, _u6776), hAPP(hAPP(c_Set_Oinsert(_u6774), _u6778), c_Orderings_Obot__class_Obot(tc_fun(_u6774, tc_HOL_Obool)))))) )).
% 39.89/40.13 cnf(matrix-2915, plain, ( ( hAPP(c_Set_Ovimage(_u6779, _u6780, _u6781), hAPP(hAPP(c_Set_Oinsert(_u6780), _u6782), _u6783)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6779, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u6779, _u6780, _u6781), hAPP(hAPP(c_Set_Oinsert(_u6780), _u6782), c_Orderings_Obot__class_Obot(tc_fun(_u6780, tc_HOL_Obool))))), hAPP(c_Set_Ovimage(_u6779, _u6780, _u6781), _u6783))) )).
% 39.89/40.13 cnf(matrix-2916, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6784), hAPP(c_Set_Ovimage(_u6784, _u6785, _u6786), _u6787))) | ( hAPP(c_Set_Oimage(_u6784, _u6785, _u6786), c_Orderings_Otop__class_Otop(tc_fun(_u6784, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u6785, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u6785), _u6787)) )).
% 39.89/40.13 cnf(matrix-2917, plain, ( ( hAPP(c_Set_Oimage(_u6788, _u6789, _u6790), c_Orderings_Otop__class_Otop(tc_fun(_u6788, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u6789, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6788, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u6788, _u6789, _u6790), _u6791)), _u6792)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6789, tc_HOL_Obool)), _u6791), hAPP(c_Set_Oimage(_u6788, _u6789, _u6790), _u6792))) )).
% 39.89/40.13 cnf(matrix-2918, plain, ( ( hAPP(c_Set_Oimage(_u6793, _u6794, _u6795), hAPP(c_Set_Ovimage(_u6793, _u6794, _u6795), _u6796)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6794, tc_HOL_Obool)), _u6796), hAPP(c_Set_Oimage(_u6793, _u6794, _u6795), c_Orderings_Otop__class_Otop(tc_fun(_u6793, tc_HOL_Obool))))) )).
% 39.89/40.13 cnf(matrix-2919, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6797), _u6798)) | ~c_Fun_Oinj__on(_u6799, _u6797, _u6800, c_Orderings_Otop__class_Otop(tc_fun(_u6799, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u6799), hAPP(c_Set_Ovimage(_u6799, _u6797, _u6800), _u6798))) )).
% 39.89/40.13 cnf(matrix-2920, plain, ( ~c_Fun_Oinj__on(_u6801, _u6802, _u6803, c_Orderings_Otop__class_Otop(tc_fun(_u6801, tc_HOL_Obool))) | ( hAPP(c_Set_Ovimage(_u6801, _u6802, _u6803), hAPP(c_Set_Oimage(_u6801, _u6802, _u6803), _u6804)) = _u6804) )).
% 39.89/40.13 cnf(matrix-2921, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6805), _u6806)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6807), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6806), _u6805))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6807), _u6805)), hAPP(c_Nat_OSuc, _u6806))) )).
% 39.89/40.13 cnf(matrix-2922, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6808), _u6809)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6809), _u6808))), _u6810) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6809)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6808), _u6810))) )).
% 39.89/40.13 cnf(matrix-2923, plain, ( ~class_Rings_Olinordered__idom(_u6811) | ( _u6812 = _u6813) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6811), _u6812), _u6813)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6811), _u6813), _u6812)) )).
% 39.89/40.13 cnf(matrix-2924, plain, ( ( c_Map_Omap__comp(_u6814, _u6815, _u6816, _u6817, hAPP(c_COMBK(tc_Option_Ooption(_u6814), _u6816), c_Option_Ooption_ONone(_u6814)), _u6818) = c_Option_Ooption_ONone(_u6815)) )).
% 39.89/40.13 cnf(matrix-2925, plain, ( ( c_Map_Omap__comp(_u6819, _u6820, _u6821, hAPP(c_COMBK(tc_Option_Ooption(_u6820), _u6819), c_Option_Ooption_ONone(_u6820)), _u6822, _u6823) = c_Option_Ooption_ONone(_u6820)) )).
% 39.89/40.13 cnf(matrix-2926, plain, ( ( c_Relation_OId__on(_u6824, c_Orderings_Obot__class_Obot(tc_fun(_u6824, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u6824, _u6824), tc_HOL_Obool))) )).
% 39.89/40.13 cnf(matrix-2927, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u6829), _u6831), _u6833)) | ( hAPP(c_Set_Ovimage(_u6835, _u6829, hAPP(c_COMBK(_u6829, _u6835), _u6831)), _u6833) = c_Orderings_Otop__class_Otop(tc_fun(_u6835, tc_HOL_Obool))) )).
% 39.89/40.13 cnf(matrix-2928, plain, ( hBOOL(hAPP(hAPP(c_member(_u6830), _u6832), _u6834)) | ( hAPP(c_Set_Ovimage(_u6836, _u6830, hAPP(c_COMBK(_u6830, _u6836), _u6832)), _u6834) = c_Orderings_Obot__class_Obot(tc_fun(_u6836, tc_HOL_Obool))) )).
% 39.89/40.13 cnf(matrix-2929, plain, ( ( hAPP(c_Relation_OImage(_u6837, _u6837, c_Relation_OId__on(_u6837, _u6838)), _u6839) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6837, tc_HOL_Obool)), _u6838), _u6839)) )).
% 39.89/40.13 cnf(matrix-2930, plain, ( ( hAPP(c_Set_Ovimage(_u6840, _u6841, _u6842), _u6843) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6841, tc_fun(_u6840, tc_HOL_Obool)), _u6843), hAPP(hAPP(c_COMBB(tc_fun(_u6841, tc_HOL_Obool), tc_fun(_u6840, tc_HOL_Obool), _u6841), c_Set_Ovimage(_u6840, _u6841, _u6842)), hAPP(hAPP(c_COMBC(_u6841, tc_fun(_u6841, tc_HOL_Obool), tc_fun(_u6841, tc_HOL_Obool)), c_Set_Oinsert(_u6841)), c_Orderings_Obot__class_Obot(tc_fun(_u6841, tc_HOL_Obool)))))) )).
% 39.89/40.13 cnf(matrix-2931, plain, ( ~class_Groups_Ocomm__monoid__mult(_u6844) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6845), _u6846)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u6844, _u6845, c_Groups_Otimes__class_Otimes(_u6844)), hAPP(hAPP(c_COMBS(_u6845, _u6844, _u6844), hAPP(hAPP(c_COMBB(_u6844, tc_fun(_u6844, _u6844), _u6845), c_Groups_Otimes__class_Otimes(_u6844)), _u6847)), _u6848)), c_Groups_Oone__class_Oone(_u6844)), _u6846) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6844), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u6844, _u6845, c_Groups_Otimes__class_Otimes(_u6844)), _u6847), c_Groups_Oone__class_Oone(_u6844)), _u6846)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u6844, _u6845, c_Groups_Otimes__class_Otimes(_u6844)), _u6848), c_Groups_Oone__class_Oone(_u6844)), _u6846))) )).
% 39.89/40.13 cnf(matrix-2932, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6849), _u6850)) | ~hBOOL(hAPP(hAPP(c_member(_u6849), _u6851), _u6850)) | ( hAPP(c_Finite__Set_Ocard(_u6849), hAPP(hAPP(c_Set_Oinsert(_u6849), _u6851), _u6850)) = hAPP(c_Finite__Set_Ocard(_u6849), _u6850)) )).
% 39.89/40.13 cnf(matrix-2933, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6849), _u6850)) | hBOOL(hAPP(hAPP(c_member(_u6849), _u6851), _u6850)) | ( hAPP(c_Finite__Set_Ocard(_u6849), hAPP(hAPP(c_Set_Oinsert(_u6849), _u6851), _u6850)) = hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u6849), _u6850))) )).
% 39.89/40.13 cnf(matrix-2934, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6852), _u6853)) | hBOOL(hAPP(hAPP(c_member(_u6852), _u6854), _u6853)) | ( hAPP(c_Finite__Set_Ocard(_u6852), hAPP(hAPP(c_Set_Oinsert(_u6852), _u6854), _u6853)) = hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u6852), _u6853))) )).
% 39.89/40.13 cnf(matrix-2935, plain, ( ~c_Fun_Oinj__on(_u6855, _u6856, _u6857, c_Orderings_Otop__class_Otop(tc_fun(_u6855, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6856, tc_HOL_Obool)), _u6858), hAPP(c_Set_Oimage(_u6855, _u6856, _u6857), _u6859))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6855, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u6855, _u6856, _u6857), _u6858)), _u6859)) )).
% 39.89/40.13 cnf(matrix-2936, plain, ( ~class_Groups_Oab__semigroup__mult(_u6860) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6861), _u6862)) | hBOOL(hAPP(hAPP(c_member(_u6861), _u6863), _u6862)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u6860, _u6861, c_Groups_Otimes__class_Otimes(_u6860)), _u6864), _u6865), hAPP(hAPP(c_Set_Oinsert(_u6861), _u6863), _u6862)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6860), hAPP(_u6864, _u6863)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u6860, _u6861, c_Groups_Otimes__class_Otimes(_u6860)), _u6864), _u6865), _u6862))) )).
% 39.89/40.13 cnf(matrix-2937, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u6872), _u6874), _u6876)) | ~hBOOL(hAPP(hAPP(c_member(_u6872), _u6878), _u6876)) | ( hAPP(c_Set_Ovimage(_u6880, _u6872, hAPP(hAPP(c_COMBC(_u6880, _u6872, _u6872), hAPP(hAPP(c_COMBC(_u6880, _u6872, tc_fun(_u6872, _u6872)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u6872, tc_fun(_u6872, _u6872)), _u6880), c_If(_u6872)), hAPP(hAPP(c_COMBC(_u6880, tc_fun(_u6880, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6880)), _u6882))), _u6874)), _u6878)), _u6876) = c_Orderings_Otop__class_Otop(tc_fun(_u6880, tc_HOL_Obool))) )).
% 39.89/40.13 cnf(matrix-2938, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u6872), _u6874), _u6876)) | hBOOL(hAPP(hAPP(c_member(_u6872), _u6878), _u6876)) | ( hAPP(c_Set_Ovimage(_u6880, _u6872, hAPP(hAPP(c_COMBC(_u6880, _u6872, _u6872), hAPP(hAPP(c_COMBC(_u6880, _u6872, tc_fun(_u6872, _u6872)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u6872, tc_fun(_u6872, _u6872)), _u6880), c_If(_u6872)), hAPP(hAPP(c_COMBC(_u6880, tc_fun(_u6880, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6880)), _u6882))), _u6874)), _u6878)), _u6876) = _u6882) )).
% 39.89/40.13 cnf(matrix-2939, plain, ( hBOOL(hAPP(hAPP(c_member(_u6873), _u6875), _u6877)) | ~hBOOL(hAPP(hAPP(c_member(_u6873), _u6879), _u6877)) | ( hAPP(c_Set_Ovimage(_u6881, _u6873, hAPP(hAPP(c_COMBC(_u6881, _u6873, _u6873), hAPP(hAPP(c_COMBC(_u6881, _u6873, tc_fun(_u6873, _u6873)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u6873, tc_fun(_u6873, _u6873)), _u6881), c_If(_u6873)), hAPP(hAPP(c_COMBC(_u6881, tc_fun(_u6881, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6881)), _u6883))), _u6875)), _u6879)), _u6877) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6881, tc_HOL_Obool)), _u6883)) )).
% 39.89/40.13 cnf(matrix-2940, plain, ( hBOOL(hAPP(hAPP(c_member(_u6873), _u6875), _u6877)) | hBOOL(hAPP(hAPP(c_member(_u6873), _u6879), _u6877)) | ( hAPP(c_Set_Ovimage(_u6881, _u6873, hAPP(hAPP(c_COMBC(_u6881, _u6873, _u6873), hAPP(hAPP(c_COMBC(_u6881, _u6873, tc_fun(_u6873, _u6873)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u6873, tc_fun(_u6873, _u6873)), _u6881), c_If(_u6873)), hAPP(hAPP(c_COMBC(_u6881, tc_fun(_u6881, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6881)), _u6883))), _u6875)), _u6879)), _u6877) = c_Orderings_Obot__class_Obot(tc_fun(_u6881, tc_HOL_Obool))) )).
% 39.89/40.13 cnf(matrix-2941, plain, ( ( _u6884 != _u6885) | ~hBOOL(hAPP(hAPP(c_member(_u6886), _u6884), _u6887)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u6886, _u6886)), hAPP(hAPP(c_Product__Type_OPair(_u6886, _u6886), _u6884), _u6885)), c_Relation_OId__on(_u6886, _u6887))) )).
% 39.89/40.13 cnf(matrix-2942, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u6892, _u6892)), hAPP(hAPP(c_Product__Type_OPair(_u6892, _u6892), _u6894), _u6896)), c_Relation_OId__on(_u6892, _u6898))) | ( _u6894 = _u6896) )).
% 39.89/40.13 cnf(matrix-2943, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u6892, _u6892)), hAPP(hAPP(c_Product__Type_OPair(_u6892, _u6892), _u6894), _u6896)), c_Relation_OId__on(_u6892, _u6898))) | hBOOL(hAPP(hAPP(c_member(_u6892), _u6894), _u6898)) )).
% 39.89/40.13 cnf(matrix-2944, plain, ( ( _u6895 != _u6897) | ~hBOOL(hAPP(hAPP(c_member(_u6893), _u6895), _u6899)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u6893, _u6893)), hAPP(hAPP(c_Product__Type_OPair(_u6893, _u6893), _u6895), _u6897)), c_Relation_OId__on(_u6893, _u6899))) )).
% 39.89/40.13 cnf(matrix-2945, plain, ( ( c_Map_Omap__comp(_u6908, _u6910, _u6912, _u6914, _u6916, _u6918) != c_Option_Ooption_ONone(_u6910)) | ( hAPP(_u6916, _u6918) = c_Option_Ooption_ONone(_u6908)) | ( hAPP(_u6916, _u6918) = hAPP(c_Option_Ooption_OSome(_u6908), skolem128(_u6918, _u6916, _u6914, _u6912, _u6910, _u6908))) )).
% 39.89/40.13 cnf(matrix-2946, plain, ( ( c_Map_Omap__comp(_u6908, _u6910, _u6912, _u6914, _u6916, _u6918) != c_Option_Ooption_ONone(_u6910)) | ( hAPP(_u6916, _u6918) = c_Option_Ooption_ONone(_u6908)) | ( hAPP(_u6914, skolem128(_u6918, _u6916, _u6914, _u6912, _u6910, _u6908)) = c_Option_Ooption_ONone(_u6910)) )).
% 39.89/40.13 cnf(matrix-2947, plain, ( ( c_Map_Omap__comp(_u6909, _u6911, _u6913, _u6915, _u6917, _u6919) = c_Option_Ooption_ONone(_u6911)) | ( hAPP(_u6917, _u6919) != c_Option_Ooption_ONone(_u6909)) )).
% 39.89/40.13 cnf(matrix-2948, plain, ( ( c_Map_Omap__comp(_u6909, _u6911, _u6913, _u6915, _u6917, _u6919) = c_Option_Ooption_ONone(_u6911)) | ( hAPP(_u6917, _u6919) != hAPP(c_Option_Ooption_OSome(_u6909), _u6901)) | ( hAPP(_u6915, _u6901) != c_Option_Ooption_ONone(_u6911)) )).
% 39.89/40.13 cnf(matrix-2949, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6920), _u6921)) | ( hAPP(c_Finite__Set_Ocard(_u6920), hAPP(hAPP(c_Set_Oinsert(_u6920), _u6922), _u6921)) = hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u6920), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6920, tc_HOL_Obool)), _u6921), hAPP(hAPP(c_Set_Oinsert(_u6920), _u6922), c_Orderings_Obot__class_Obot(tc_fun(_u6920, tc_HOL_Obool))))))) )).
% 39.89/40.13 cnf(matrix-2950, plain, ( ~class_Groups_Ocomm__monoid__mult(_u6923) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6924), _u6925)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6924), _u6926)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6923), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u6923, _u6924, c_Groups_Otimes__class_Otimes(_u6923)), _u6927), c_Groups_Oone__class_Oone(_u6923)), _u6925)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u6923, _u6924, c_Groups_Otimes__class_Otimes(_u6923)), _u6927), c_Groups_Oone__class_Oone(_u6923)), _u6926)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6923), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u6923, _u6924, c_Groups_Otimes__class_Otimes(_u6923)), _u6927), c_Groups_Oone__class_Oone(_u6923)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6924, tc_HOL_Obool)), _u6925), _u6926))), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u6923, _u6924, c_Groups_Otimes__class_Otimes(_u6923)), _u6927), c_Groups_Oone__class_Oone(_u6923)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6924, tc_HOL_Obool)), _u6925), _u6926)))) )).
% 39.89/40.13 cnf(matrix-2951, plain, ( ~class_Groups_Oab__semigroup__mult(_u6928) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6929), _u6930)) | ~c_Fun_Oinj__on(_u6929, _u6931, _u6932, _u6930) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u6928, _u6931, c_Groups_Otimes__class_Otimes(_u6928)), _u6933), _u6934), hAPP(c_Set_Oimage(_u6929, _u6931, _u6932), _u6930)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u6928, _u6929, c_Groups_Otimes__class_Otimes(_u6928)), hAPP(c_Fun_Ocomp(_u6931, _u6928, _u6929, _u6933), _u6932)), _u6934), _u6930)) )).
% 39.89/40.13 cnf(matrix-2952, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6935), _u6936)) | ~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), _u6936), _u6937)), _u6938)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6935), _u6937)), _u6939))) | 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), _u6936), _u6935)), _u6937)), _u6938)), _u6939)) )).
% 39.89/40.13 cnf(matrix-2953, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6935), _u6936)) | ~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), _u6936), _u6935)), _u6937)), _u6938)), _u6939)) | 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), _u6936), _u6937)), _u6938)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6935), _u6937)), _u6939))) )).
% 39.89/40.13 cnf(matrix-2954, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6940), _u6941)) | ~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), _u6940), _u6942)), _u6943)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6941), _u6942)), _u6944))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6943), 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), _u6941), _u6940)), _u6942)), _u6944))) )).
% 39.89/40.13 cnf(matrix-2955, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6940), _u6941)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6943), 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), _u6941), _u6940)), _u6942)), _u6944))) | 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), _u6940), _u6942)), _u6943)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6941), _u6942)), _u6944))) )).
% 39.89/40.13 cnf(matrix-2956, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6945), hAPP(c_Nat_OSuc, _u6946)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6945), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u6946)) )).
% 39.89/40.13 cnf(matrix-2957, plain, ( ( hAPP(c_Nat_OSuc, _u6947) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u6947)) )).
% 39.89/40.13 cnf(matrix-2958, plain, ( ( hAPP(c_Nat_OSuc, _u6948) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6948), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 39.89/40.13 cnf(matrix-2959, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6949), _u6950)) | ~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), _u6950), _u6951)), _u6952)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6949), _u6951)), _u6953))) | 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), _u6950), _u6949)), _u6951)), _u6952)), _u6953)) )).
% 39.89/40.13 cnf(matrix-2960, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6949), _u6950)) | ~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), _u6950), _u6949)), _u6951)), _u6952)), _u6953)) | 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), _u6950), _u6951)), _u6952)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6949), _u6951)), _u6953))) )).
% 39.89/40.13 cnf(matrix-2961, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6954), _u6955)) | ( 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), _u6955), _u6956)), _u6957)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6954), _u6956)), _u6958)) = 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), _u6955), _u6954)), _u6956)), _u6957)), _u6958)) )).
% 39.89/40.13 cnf(matrix-2962, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6959), _u6960) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6960), _u6959)) )).
% 39.89/40.13 cnf(matrix-2963, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6961), _u6962)), _u6963) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6961), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6962), _u6963))) )).
% 39.91/40.13 cnf(matrix-2964, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6964), _u6965)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6966), _u6965)), _u6967)) = 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), _u6964), _u6966)), _u6965)), _u6967)) )).
% 39.91/40.13 cnf(matrix-2965, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6968), _u6969)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6968), _u6970)), _u6971) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6969), _u6970)), _u6972)) | ( _u6971 = 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), _u6969), _u6968)), _u6970)), _u6972)) )).
% 39.91/40.13 cnf(matrix-2966, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6968), _u6969)) | ( _u6971 != 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), _u6969), _u6968)), _u6970)), _u6972)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6968), _u6970)), _u6971) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6969), _u6970)), _u6972)) )).
% 39.91/40.13 cnf(matrix-2967, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6973), _u6974)) | ( 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), _u6973), _u6975)), _u6976)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6974), _u6975)), _u6977)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6976), 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), _u6974), _u6973)), _u6975)), _u6977))) )).
% 39.91/40.13 cnf(matrix-2968, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6978), _u6979)) | ~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), _u6978), _u6980)), _u6981)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6979), _u6980)), _u6982))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6981), 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), _u6979), _u6978)), _u6980)), _u6982))) )).
% 39.91/40.13 cnf(matrix-2969, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6978), _u6979)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6981), 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), _u6979), _u6978)), _u6980)), _u6982))) | 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), _u6978), _u6980)), _u6981)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6979), _u6980)), _u6982))) )).
% 39.91/40.13 cnf(matrix-2970, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6983), _u6984)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6984), _u6985)), _u6986) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6983), _u6985)), _u6987)) | ( 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), _u6984), _u6983)), _u6985)), _u6986) = _u6987) )).
% 39.91/40.13 cnf(matrix-2971, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6983), _u6984)) | ( 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), _u6984), _u6983)), _u6985)), _u6986) != _u6987) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6984), _u6985)), _u6986) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6983), _u6985)), _u6987)) )).
% 39.91/40.13 cnf(matrix-2972, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6989), _u6990)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6991), _u6992)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6989, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u6991, tc_HOL_Obool), tc_Nat_Onat, _u6989), c_Finite__Set_Ocard(_u6991)), hAPP(hAPP(c_COMBB(tc_fun(_u6991, tc_HOL_Obool), tc_fun(_u6991, tc_HOL_Obool), _u6989), c_Set_OCollect(_u6991)), hAPP(hAPP(c_COMBB(tc_fun(_u6991, tc_HOL_Obool), tc_fun(_u6991, tc_HOL_Obool), _u6989), hAPP(c_COMBS(_u6991, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6991), c_fconj), hAPP(hAPP(c_COMBC(_u6991, tc_fun(_u6991, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6991)), _u6992)))), _u6993)))), _u6990) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6994), hAPP(c_Finite__Set_Ocard(_u6991), _u6992))) | hBOOL(hAPP(hAPP(c_member(_u6991), skolem129(_u6994, _u6993, _u6992, _u6991, _u6990, _u6989)), _u6992)) )).
% 39.91/40.13 cnf(matrix-2973, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6989), _u6990)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6991), _u6992)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6989, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u6991, tc_HOL_Obool), tc_Nat_Onat, _u6989), c_Finite__Set_Ocard(_u6991)), hAPP(hAPP(c_COMBB(tc_fun(_u6991, tc_HOL_Obool), tc_fun(_u6991, tc_HOL_Obool), _u6989), c_Set_OCollect(_u6991)), hAPP(hAPP(c_COMBB(tc_fun(_u6991, tc_HOL_Obool), tc_fun(_u6991, tc_HOL_Obool), _u6989), hAPP(c_COMBS(_u6991, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6991), c_fconj), hAPP(hAPP(c_COMBC(_u6991, tc_fun(_u6991, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6991)), _u6992)))), _u6993)))), _u6990) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6994), hAPP(c_Finite__Set_Ocard(_u6991), _u6992))) | ( hAPP(c_Finite__Set_Ocard(_u6989), hAPP(c_Set_OCollect(_u6989), hAPP(hAPP(c_COMBS(_u6989, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6989), c_fconj), hAPP(hAPP(c_COMBC(_u6989, tc_fun(_u6989, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6989)), _u6990))), hAPP(hAPP(c_COMBC(_u6989, _u6991, tc_HOL_Obool), _u6993), skolem129(_u6994, _u6993, _u6992, _u6991, _u6990, _u6989))))) != _u6994) )).
% 39.91/40.13 cnf(matrix-2974, plain, ( ~class_Groups_Ocomm__monoid__mult(_u6996) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6997), _u6998)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6997), _u6999)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u6996, _u6997, c_Groups_Otimes__class_Otimes(_u6996)), _u7000), c_Groups_Oone__class_Oone(_u6996)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6997, tc_HOL_Obool)), _u6998), _u6999)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6996), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u6996, _u6997, c_Groups_Otimes__class_Otimes(_u6996)), _u7000), c_Groups_Oone__class_Oone(_u6996)), _u6998)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u6996, _u6997, c_Groups_Otimes__class_Otimes(_u6996)), _u7000), c_Groups_Oone__class_Oone(_u6996)), _u6999))) | hBOOL(hAPP(hAPP(c_member(_u6997), skolem130(_u7000, _u6999, _u6998, _u6997, _u6996)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6997, tc_HOL_Obool)), _u6998), _u6999))) )).
% 39.91/40.13 cnf(matrix-2975, plain, ( ~class_Groups_Ocomm__monoid__mult(_u6996) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6997), _u6998)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6997), _u6999)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u6996, _u6997, c_Groups_Otimes__class_Otimes(_u6996)), _u7000), c_Groups_Oone__class_Oone(_u6996)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6997, tc_HOL_Obool)), _u6998), _u6999)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6996), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u6996, _u6997, c_Groups_Otimes__class_Otimes(_u6996)), _u7000), c_Groups_Oone__class_Oone(_u6996)), _u6998)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u6996, _u6997, c_Groups_Otimes__class_Otimes(_u6996)), _u7000), c_Groups_Oone__class_Oone(_u6996)), _u6999))) | ( hAPP(_u7000, skolem130(_u7000, _u6999, _u6998, _u6997, _u6996)) != c_Groups_Oone__class_Oone(_u6996)) )).
% 39.91/40.13 cnf(matrix-2976, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u7001, _u7002)), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u7001, _u7002), tc_HOL_Obool)))) | ( hAPP(c_Finite__Set_Ocard(_u7002), c_Orderings_Otop__class_Otop(tc_fun(_u7002, tc_HOL_Obool))) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7001), c_Orderings_Otop__class_Otop(tc_fun(_u7001, tc_HOL_Obool)))) )).
% 39.91/40.13 cnf(matrix-2977, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7004, _u7004)), _u7005), c_Relation_OId__on(_u7004, _u7006))) | hBOOL(hAPP(hAPP(c_member(_u7004), skolem131(_u7006, _u7005, _u7004)), _u7006)) )).
% 39.91/40.13 cnf(matrix-2978, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7004, _u7004)), _u7005), c_Relation_OId__on(_u7004, _u7006))) | ( _u7005 = hAPP(hAPP(c_Product__Type_OPair(_u7004, _u7004), skolem131(_u7006, _u7005, _u7004)), skolem131(_u7006, _u7005, _u7004))) )).
% 39.91/40.13 cnf(matrix-2979, plain, ( ~class_Groups_Oab__semigroup__mult(_u7007) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u7007, _u7007, c_Groups_Otimes__class_Otimes(_u7007), _u7008, _u7009), _u7010)) | ~hBOOL(hAPP(hAPP(c_member(_u7007), _u7011), _u7009)) | hBOOL(hAPP(hAPP(c_member(_u7007), _u7008), _u7009)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u7007, _u7007, c_Groups_Otimes__class_Otimes(_u7007), _u7011, hAPP(hAPP(c_Set_Oinsert(_u7007), _u7008), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7007, tc_HOL_Obool)), _u7009), hAPP(hAPP(c_Set_Oinsert(_u7007), _u7011), c_Orderings_Obot__class_Obot(tc_fun(_u7007, tc_HOL_Obool)))))), _u7010)) )).
% 39.91/40.13 cnf(matrix-2980, plain, ( ~class_Orderings_Olinorder(_u7012) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7012), _u7013)) | ~hBOOL(hAPP(hAPP(c_member(_u7012), _u7014), _u7013)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7012, tc_HOL_Obool)), _u7013), hAPP(hAPP(c_Set_Oinsert(_u7012), _u7014), c_Orderings_Obot__class_Obot(tc_fun(_u7012, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u7012, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u7012, _u7013) = _u7014) )).
% 39.91/40.13 cnf(matrix-2981, plain, ( ~class_Orderings_Olinorder(_u7012) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7012), _u7013)) | ~hBOOL(hAPP(hAPP(c_member(_u7012), _u7014), _u7013)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7012, tc_HOL_Obool)), _u7013), hAPP(hAPP(c_Set_Oinsert(_u7012), _u7014), c_Orderings_Obot__class_Obot(tc_fun(_u7012, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u7012, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u7012, _u7013) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7012), _u7014), c_Big__Operators_Olinorder__class_OMin(_u7012, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7012, tc_HOL_Obool)), _u7013), hAPP(hAPP(c_Set_Oinsert(_u7012), _u7014), c_Orderings_Obot__class_Obot(tc_fun(_u7012, tc_HOL_Obool))))))) )).
% 39.91/40.13 cnf(matrix-2982, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7015), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 39.91/40.13 cnf(matrix-2983, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7016)) )).
% 39.91/40.13 cnf(matrix-2984, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Nat_OSuc, _u7017))) )).
% 39.91/40.13 cnf(matrix-2985, plain, ( ( c_Orderings_Obot__class_Obot(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.13 cnf(matrix-2986, plain, ( ~class_Groups_Ozero(_u7018) | ( c_Groups_Ozero__class_Ozero(_u7018) != _u7019) | ( _u7019 = c_Groups_Ozero__class_Ozero(_u7018)) )).
% 39.91/40.13 cnf(matrix-2987, plain, ( ~class_Groups_Ozero(_u7018) | ( _u7019 != c_Groups_Ozero__class_Ozero(_u7018)) | ( c_Groups_Ozero__class_Ozero(_u7018) = _u7019) )).
% 39.91/40.13 cnf(matrix-2988, plain, ( ~class_Orderings_Olinorder(_u7020) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7020), _u7021), _u7021) = _u7021) )).
% 39.91/40.13 cnf(matrix-2989, plain, ( ~class_Orderings_Olinorder(_u7022) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7022), _u7023), _u7024) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7022), _u7024), _u7023)) )).
% 39.91/40.13 cnf(matrix-2990, plain, ( ~class_Orderings_Olinorder(_u7025) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7025), _u7026), _u7027) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7025), _u7027), _u7026)) )).
% 39.91/40.13 cnf(matrix-2991, plain, ( ~class_Orderings_Olinorder(_u7028) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7028), _u7029), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7028), _u7029), _u7030)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7028), _u7029), _u7030)) )).
% 39.91/40.13 cnf(matrix-2992, plain, ( ~class_Orderings_Olinorder(_u7031) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7031), _u7032), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7031), _u7032), _u7033)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7031), _u7032), _u7033)) )).
% 39.91/40.13 cnf(matrix-2993, plain, ( ~class_Orderings_Olinorder(_u7034) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7034), _u7035), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7034), _u7036), _u7037)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7034), _u7036), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7034), _u7035), _u7037))) )).
% 39.91/40.13 cnf(matrix-2994, plain, ( ~class_Orderings_Olinorder(_u7038) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7038), _u7039), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7038), _u7040), _u7041)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7038), _u7040), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7038), _u7039), _u7041))) )).
% 39.91/40.13 cnf(matrix-2995, plain, ( ~class_Orderings_Olinorder(_u7042) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7042), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7042), _u7043), _u7044)), _u7045) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7042), _u7043), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7042), _u7044), _u7045))) )).
% 39.91/40.13 cnf(matrix-2996, plain, ( ~class_Orderings_Olinorder(_u7046) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7046), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7046), _u7047), _u7048)), _u7049) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7046), _u7047), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7046), _u7048), _u7049))) )).
% 39.91/40.13 cnf(matrix-2997, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7050) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.13 cnf(matrix-2998, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u7051), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.13 cnf(matrix-2999, plain, ( ~class_Orderings_Olinorder(_u7052) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7052), _u7053), _u7053) = _u7053) )).
% 39.91/40.13 cnf(matrix-3000, plain, ( ~class_Orderings_Olinorder(_u7054) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7054), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7054), _u7055), _u7056)), _u7057)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7054), _u7055), _u7057)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7054), _u7056), _u7057)) )).
% 39.91/40.13 cnf(matrix-3001, plain, ( ~class_Orderings_Olinorder(_u7054) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7054), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7054), _u7055), _u7056)), _u7057)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7054), _u7055), _u7057)) )).
% 39.91/40.13 cnf(matrix-3002, plain, ( ~class_Orderings_Olinorder(_u7054) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7054), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7054), _u7055), _u7056)), _u7057)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7054), _u7056), _u7057)) )).
% 39.91/40.13 cnf(matrix-3003, plain, ( ~class_Orderings_Olinorder(_u7058) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7058), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7058), _u7059), _u7060)), _u7059)) )).
% 39.91/40.13 cnf(matrix-3004, plain, ( ~class_Orderings_Olinorder(_u7061) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7061), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7061), _u7062), _u7063)), _u7063)) )).
% 39.91/40.13 cnf(matrix-3005, plain, ( ~class_Orderings_Olinorder(_u7064) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7064), _u7065), _u7066)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7064), _u7065), _u7066) = _u7065) )).
% 39.91/40.13 cnf(matrix-3006, plain, ( ~class_Orderings_Olinorder(_u7064) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7064), _u7065), _u7066) != _u7065) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7064), _u7065), _u7066)) )).
% 39.91/40.13 cnf(matrix-3007, plain, ( ~class_Orderings_Olinorder(_u7067) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7067), _u7068), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7067), _u7069), _u7070))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7067), _u7068), _u7069)) )).
% 39.91/40.13 cnf(matrix-3008, plain, ( ~class_Orderings_Olinorder(_u7067) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7067), _u7068), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7067), _u7069), _u7070))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7067), _u7068), _u7070)) )).
% 39.91/40.13 cnf(matrix-3009, plain, ( ~class_Orderings_Olinorder(_u7067) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7067), _u7068), _u7069)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7067), _u7068), _u7070)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7067), _u7068), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7067), _u7069), _u7070))) )).
% 39.91/40.13 cnf(matrix-3010, plain, ( ~class_Orderings_Olinorder(_u7071) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7071), _u7072), _u7073)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7071), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7071), _u7072), _u7074)), _u7073)) )).
% 39.91/40.13 cnf(matrix-3011, plain, ( ~class_Orderings_Olinorder(_u7075) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7075), _u7076), _u7077)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7075), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7075), _u7078), _u7076)), _u7077)) )).
% 39.91/40.13 cnf(matrix-3012, plain, ( ~class_Orderings_Olinorder(_u7079) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7079), _u7080), _u7081)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7079), _u7080), _u7081) = _u7080) )).
% 39.91/40.13 cnf(matrix-3013, plain, ( ~class_Orderings_Olinorder(_u7082) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7082), _u7083), _u7084)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7082), _u7084), _u7083) = _u7083) )).
% 39.91/40.13 cnf(matrix-3014, plain, ( ~class_Orderings_Olinorder(_u7085) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7085), _u7086), _u7087)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7085), _u7086), _u7088)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7085), _u7086), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7085), _u7087), _u7088))) )).
% 39.91/40.13 cnf(matrix-3015, plain, ( ~class_Orderings_Olinorder(_u7089) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7089), _u7090), _u7091)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7089), _u7090), _u7092)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7089), _u7090), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7089), _u7091), _u7092))) )).
% 39.91/40.13 cnf(matrix-3016, plain, ( ~class_Orderings_Olinorder(_u7093) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7093), _u7094), _u7095)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7093), _u7096), _u7097)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7093), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7093), _u7094), _u7096)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7093), _u7095), _u7097))) )).
% 39.91/40.13 cnf(matrix-3017, plain, ( ~class_Orderings_Olinorder(_u7098) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7098), _u7099), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7098), _u7100), _u7101))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7098), _u7099), _u7100)) )).
% 39.91/40.13 cnf(matrix-3018, plain, ( ~class_Orderings_Olinorder(_u7098) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7098), _u7099), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7098), _u7100), _u7101))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7098), _u7099), _u7101)) )).
% 39.91/40.13 cnf(matrix-3019, plain, ( ~class_Orderings_Olinorder(_u7102) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7102), _u7103), _u7104)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7102), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7102), _u7103), _u7105)), _u7104)) )).
% 39.91/40.13 cnf(matrix-3020, plain, ( ~class_Orderings_Olinorder(_u7106) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7106), _u7107), _u7108)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7106), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7106), _u7109), _u7107)), _u7108)) )).
% 39.91/40.13 cnf(matrix-3021, plain, ( ~class_Orderings_Olinorder(_u7110) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7110), _u7111), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7110), _u7112), _u7113))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7110), _u7111), _u7112)) )).
% 39.91/40.13 cnf(matrix-3022, plain, ( ~class_Orderings_Olinorder(_u7110) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7110), _u7111), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7110), _u7112), _u7113))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7110), _u7111), _u7113)) )).
% 39.91/40.13 cnf(matrix-3023, plain, ( ~class_Orderings_Olinorder(_u7110) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7110), _u7111), _u7112)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7110), _u7111), _u7113)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7110), _u7111), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7110), _u7112), _u7113))) )).
% 39.91/40.13 cnf(matrix-3024, plain, ( ~class_Orderings_Olinorder(_u7114) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7114), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7114), _u7115), _u7116)), _u7117)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7114), _u7115), _u7117)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7114), _u7116), _u7117)) )).
% 39.91/40.13 cnf(matrix-3025, plain, ( ~class_Orderings_Olinorder(_u7114) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7114), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7114), _u7115), _u7116)), _u7117)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7114), _u7115), _u7117)) )).
% 39.91/40.13 cnf(matrix-3026, plain, ( ~class_Orderings_Olinorder(_u7114) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7114), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7114), _u7115), _u7116)), _u7117)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7114), _u7116), _u7117)) )).
% 39.91/40.13 cnf(matrix-3027, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u7118) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7118), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7118), _u7119), _u7120)), _u7121) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7118), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7118), _u7119), _u7121)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7118), _u7120), _u7121))) )).
% 39.91/40.13 cnf(matrix-3028, plain, ( ~class_Groups_Oordered__ab__group__add(_u7122) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7122), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7122), _u7123), _u7124)), _u7125) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7122), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7122), _u7123), _u7125)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7122), _u7124), _u7125))) )).
% 39.91/40.13 cnf(matrix-3029, plain, ( ~class_Lattices_Osemilattice__inf(_u7126) | ~class_Orderings_Olinorder(_u7126) | ( c_Lattices_Osemilattice__inf__class_Oinf(_u7126) = c_Orderings_Oord__class_Omin(_u7126)) )).
% 39.91/40.13 cnf(matrix-3030, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7127)), hAPP(c_Nat_OSuc, _u7128)) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u7127), _u7128))) )).
% 39.91/40.13 cnf(matrix-3031, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7129), _u7130)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7131), _u7130)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u7129), _u7131)), _u7130)) )).
% 39.91/40.13 cnf(matrix-3032, plain, ( ~class_Groups_Omonoid__add(_u7132) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7132), c_Groups_Ozero__class_Ozero(_u7132)), _u7133) = _u7133) )).
% 39.91/40.13 cnf(matrix-3033, plain, ( ~class_Groups_Ocomm__monoid__add(_u7134) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7134), c_Groups_Ozero__class_Ozero(_u7134)), _u7135) = _u7135) )).
% 39.91/40.13 cnf(matrix-3034, plain, ( ~class_Groups_Olinordered__ab__group__add(_u7136) | ( c_Groups_Ozero__class_Ozero(_u7136) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7136), _u7137), _u7137)) | ( _u7137 = c_Groups_Ozero__class_Ozero(_u7136)) )).
% 39.91/40.13 cnf(matrix-3035, plain, ( ~class_Groups_Olinordered__ab__group__add(_u7136) | ( _u7137 != c_Groups_Ozero__class_Ozero(_u7136)) | ( c_Groups_Ozero__class_Ozero(_u7136) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7136), _u7137), _u7137)) )).
% 39.91/40.13 cnf(matrix-3036, plain, ( ~class_Groups_Omonoid__add(_u7138) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7138), _u7139), c_Groups_Ozero__class_Ozero(_u7138)) = _u7139) )).
% 39.91/40.13 cnf(matrix-3037, plain, ( ~class_Groups_Ocomm__monoid__add(_u7140) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7140), _u7141), c_Groups_Ozero__class_Ozero(_u7140)) = _u7141) )).
% 39.91/40.13 cnf(matrix-3038, plain, ( ~class_Rings_Ocomm__semiring__1(_u7142) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7142), c_Groups_Ozero__class_Ozero(_u7142)), _u7143) = _u7143) )).
% 39.91/40.13 cnf(matrix-3039, plain, ( ~class_Rings_Ocomm__semiring__1(_u7144) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7144), _u7145), c_Groups_Ozero__class_Ozero(_u7144)) = _u7145) )).
% 39.91/40.13 cnf(matrix-3040, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u7146) | ( _u7147 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7146), _u7147), _u7148)) | ( _u7148 = c_Groups_Ozero__class_Ozero(_u7146)) )).
% 39.91/40.13 cnf(matrix-3041, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u7146) | ( _u7148 != c_Groups_Ozero__class_Ozero(_u7146)) | ( _u7147 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7146), _u7147), _u7148)) )).
% 39.91/40.13 cnf(matrix-3042, plain, ( ~class_Rings_Ocomm__semiring__1(_u7149) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7149), c_Groups_Ozero__class_Ozero(_u7149)), _u7150) = c_Groups_Ozero__class_Ozero(_u7149)) )).
% 39.91/40.13 cnf(matrix-3043, plain, ( ~class_Rings_Ocomm__semiring__1(_u7151) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7151), _u7152), c_Groups_Ozero__class_Ozero(_u7151)) = c_Groups_Ozero__class_Ozero(_u7151)) )).
% 39.91/40.13 cnf(matrix-3044, plain, ( ~class_Rings_Ono__zero__divisors(_u7153) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7153), _u7154), _u7155) != c_Groups_Ozero__class_Ozero(_u7153)) | ( _u7154 = c_Groups_Ozero__class_Ozero(_u7153)) | ( _u7155 = c_Groups_Ozero__class_Ozero(_u7153)) )).
% 39.91/40.13 cnf(matrix-3045, plain, ( ~class_Rings_Ono__zero__divisors(_u7156) | ( _u7157 = c_Groups_Ozero__class_Ozero(_u7156)) | ( _u7158 = c_Groups_Ozero__class_Ozero(_u7156)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7156), _u7157), _u7158) != c_Groups_Ozero__class_Ozero(_u7156)) )).
% 39.91/40.13 cnf(matrix-3046, plain, ( ~class_Rings_Oring__no__zero__divisors(_u7159) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7159), _u7160), _u7161) != c_Groups_Ozero__class_Ozero(_u7159)) | ( _u7160 = c_Groups_Ozero__class_Ozero(_u7159)) | ( _u7161 = c_Groups_Ozero__class_Ozero(_u7159)) )).
% 39.91/40.13 cnf(matrix-3047, plain, ( ~class_Rings_Oring__no__zero__divisors(_u7159) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7159), _u7160), _u7161) = c_Groups_Ozero__class_Ozero(_u7159)) | ( _u7160 != c_Groups_Ozero__class_Ozero(_u7159)) )).
% 39.91/40.13 cnf(matrix-3048, plain, ( ~class_Rings_Oring__no__zero__divisors(_u7159) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7159), _u7160), _u7161) = c_Groups_Ozero__class_Ozero(_u7159)) | ( _u7161 != c_Groups_Ozero__class_Ozero(_u7159)) )).
% 39.91/40.13 cnf(matrix-3049, plain, ( ~class_Rings_Omult__zero(_u7162) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7162), _u7163), c_Groups_Ozero__class_Ozero(_u7162)) = c_Groups_Ozero__class_Ozero(_u7162)) )).
% 39.91/40.13 cnf(matrix-3050, plain, ( ~class_Rings_Omult__zero(_u7164) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7164), c_Groups_Ozero__class_Ozero(_u7164)), _u7165) = c_Groups_Ozero__class_Ozero(_u7164)) )).
% 39.91/40.13 cnf(matrix-3051, plain, ( ~class_Groups_Ogroup__add(_u7166) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7166), _u7167), _u7168) != c_Groups_Ozero__class_Ozero(_u7166)) | ( _u7167 = _u7168) )).
% 39.91/40.13 cnf(matrix-3052, plain, ( ~class_Groups_Ogroup__add(_u7166) | ( _u7167 != _u7168) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7166), _u7167), _u7168) = c_Groups_Ozero__class_Ozero(_u7166)) )).
% 39.91/40.13 cnf(matrix-3053, plain, ( ~class_Groups_Oab__group__add(_u7169) | ( _u7170 != _u7171) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7169), _u7170), _u7171) = c_Groups_Ozero__class_Ozero(_u7169)) )).
% 39.91/40.13 cnf(matrix-3054, plain, ( ~class_Groups_Oab__group__add(_u7169) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7169), _u7170), _u7171) != c_Groups_Ozero__class_Ozero(_u7169)) | ( _u7170 = _u7171) )).
% 39.91/40.13 cnf(matrix-3055, plain, ( ~class_Groups_Ogroup__add(_u7172) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7172), _u7173), _u7173) = c_Groups_Ozero__class_Ozero(_u7172)) )).
% 39.91/40.13 cnf(matrix-3056, plain, ( ~class_Groups_Ogroup__add(_u7174) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7174), _u7175), c_Groups_Ozero__class_Ozero(_u7174)) = _u7175) )).
% 39.91/40.13 cnf(matrix-3057, plain, ( ~class_Rings_Ozero__neq__one(_u7176) | ( c_Groups_Oone__class_Oone(_u7176) != c_Groups_Ozero__class_Ozero(_u7176)) )).
% 39.91/40.13 cnf(matrix-3058, plain, ( ~class_Rings_Ozero__neq__one(_u7177) | ( c_Groups_Ozero__class_Ozero(_u7177) != c_Groups_Oone__class_Oone(_u7177)) )).
% 39.91/40.13 cnf(matrix-3059, plain, ( ~class_Orderings_Olinorder(_u7178) | ~class_Orderings_Olinorder(_u7179) | ~c_Orderings_Oorder__class_Omono(_u7179, _u7178, _u7180) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7178), hAPP(_u7180, _u7181)), hAPP(_u7180, _u7182)) = hAPP(_u7180, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7179), _u7181), _u7182))) )).
% 39.91/40.13 cnf(matrix-3060, plain, ( ~class_Groups_Ogroup__add(_u7183) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u7183), c_Groups_Ozero__class_Ozero(_u7183)) = c_Groups_Ozero__class_Ozero(_u7183)) )).
% 39.91/40.13 cnf(matrix-3061, plain, ( ~class_Groups_Ogroup__add(_u7184) | ( c_Groups_Ozero__class_Ozero(_u7184) != hAPP(c_Groups_Ouminus__class_Ouminus(_u7184), _u7185)) | ( c_Groups_Ozero__class_Ozero(_u7184) = _u7185) )).
% 39.91/40.13 cnf(matrix-3062, plain, ( ~class_Groups_Ogroup__add(_u7184) | ( c_Groups_Ozero__class_Ozero(_u7184) != _u7185) | ( c_Groups_Ozero__class_Ozero(_u7184) = hAPP(c_Groups_Ouminus__class_Ouminus(_u7184), _u7185)) )).
% 39.91/40.13 cnf(matrix-3063, plain, ( ~class_Groups_Olinordered__ab__group__add(_u7186) | ( _u7187 != hAPP(c_Groups_Ouminus__class_Ouminus(_u7186), _u7187)) | ( _u7187 = c_Groups_Ozero__class_Ozero(_u7186)) )).
% 39.91/40.13 cnf(matrix-3064, plain, ( ~class_Groups_Olinordered__ab__group__add(_u7186) | ( _u7187 != c_Groups_Ozero__class_Ozero(_u7186)) | ( _u7187 = hAPP(c_Groups_Ouminus__class_Ouminus(_u7186), _u7187)) )).
% 39.91/40.13 cnf(matrix-3065, plain, ( ~class_Groups_Ogroup__add(_u7188) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u7188), _u7189) != c_Groups_Ozero__class_Ozero(_u7188)) | ( _u7189 = c_Groups_Ozero__class_Ozero(_u7188)) )).
% 39.91/40.13 cnf(matrix-3066, plain, ( ~class_Groups_Ogroup__add(_u7188) | ( _u7189 != c_Groups_Ozero__class_Ozero(_u7188)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u7188), _u7189) = c_Groups_Ozero__class_Ozero(_u7188)) )).
% 39.91/40.13 cnf(matrix-3067, plain, ( ~class_Groups_Olinordered__ab__group__add(_u7190) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u7190), _u7191) != _u7191) | ( _u7191 = c_Groups_Ozero__class_Ozero(_u7190)) )).
% 39.91/40.13 cnf(matrix-3068, plain, ( ~class_Groups_Olinordered__ab__group__add(_u7190) | ( _u7191 != c_Groups_Ozero__class_Ozero(_u7190)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u7190), _u7191) = _u7191) )).
% 39.91/40.13 cnf(matrix-3069, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc, _u7192)) )).
% 39.91/40.13 cnf(matrix-3070, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc, _u7193)) )).
% 39.91/40.13 cnf(matrix-3071, plain, ( ( hAPP(c_Nat_OSuc, _u7194) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.13 cnf(matrix-3072, plain, ( ( hAPP(c_Nat_OSuc, _u7195) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.13 cnf(matrix-3073, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc, _u7196)) )).
% 39.91/40.13 cnf(matrix-3074, plain, ( ( hAPP(c_Nat_OSuc, _u7197) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.13 cnf(matrix-3075, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7198), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 39.91/40.13 cnf(matrix-3076, plain, ( ( _u7200 = 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)), _u7200)) )).
% 39.91/40.13 cnf(matrix-3077, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7201)) | ( _u7201 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.13 cnf(matrix-3078, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7202), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 39.91/40.13 cnf(matrix-3079, plain, ( ( _u7204 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7203), _u7204)) )).
% 39.91/40.13 cnf(matrix-3080, plain, ( ( _u7205 = 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)), _u7205)) )).
% 39.91/40.13 cnf(matrix-3081, plain, ( ( _u7207 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7206), _u7207) != _u7206) )).
% 39.91/40.13 cnf(matrix-3082, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7210), _u7212) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u7210 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.13 cnf(matrix-3083, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7210), _u7212) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u7212 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.13 cnf(matrix-3084, plain, ( ( _u7211 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u7213 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7211), _u7213) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.13 cnf(matrix-3085, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7214), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u7214) )).
% 39.91/40.13 cnf(matrix-3086, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7215) = _u7215) )).
% 39.91/40.13 cnf(matrix-3087, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7216)) )).
% 39.91/40.13 cnf(matrix-3088, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7218), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u7218 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.13 cnf(matrix-3089, plain, ( ( _u7219 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7219), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 39.91/40.13 cnf(matrix-3090, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7220) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.13 cnf(matrix-3091, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7221), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u7221) )).
% 39.91/40.13 cnf(matrix-3092, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7222), _u7222) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.13 cnf(matrix-3093, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7223), _u7224) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7224), _u7223) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u7223 = _u7224) )).
% 39.91/40.13 cnf(matrix-3094, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7228), _u7230) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7228), _u7232)) | ( _u7228 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u7230 = _u7232) )).
% 39.91/40.13 cnf(matrix-3095, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7229), _u7231) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7229), _u7233)) | ( _u7229 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.13 cnf(matrix-3096, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7229), _u7231) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7229), _u7233)) | ( _u7231 != _u7233) )).
% 39.91/40.13 cnf(matrix-3097, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7237), _u7239) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7241), _u7239)) | ( _u7237 = _u7241) | ( _u7239 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.13 cnf(matrix-3098, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7238), _u7240) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7242), _u7240)) | ( _u7238 != _u7242) )).
% 39.91/40.13 cnf(matrix-3099, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7238), _u7240) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7242), _u7240)) | ( _u7240 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.13 cnf(matrix-3100, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7246), _u7248) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7246), _u7250)) | ( _u7248 = _u7250) | ( _u7246 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.13 cnf(matrix-3101, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7247), _u7249) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7247), _u7251)) | ( _u7249 != _u7251) )).
% 39.91/40.13 cnf(matrix-3102, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7247), _u7249) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7247), _u7251)) | ( _u7247 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.13 cnf(matrix-3103, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7254), _u7256) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u7254 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u7256 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.13 cnf(matrix-3104, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7255), _u7257) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u7255 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.13 cnf(matrix-3105, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7255), _u7257) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u7257 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.13 cnf(matrix-3106, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7258), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.13 cnf(matrix-3107, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7259) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.13 cnf(matrix-3108, plain, ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u7260, _u7261, _u7262, _u7263, c_Orderings_Obot__class_Obot(tc_fun(_u7260, tc_HOL_Obool))), _u7263)) )).
% 39.91/40.13 cnf(matrix-3109, plain, ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u7264, _u7265, _u7266, _u7267, c_Orderings_Obot__class_Obot(tc_fun(_u7264, tc_HOL_Obool))), _u7267)) )).
% 39.91/40.13 cnf(matrix-3110, plain, ( ( _u7272 = _u7271) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u7268, _u7269, _u7270, _u7271, c_Orderings_Obot__class_Obot(tc_fun(_u7268, tc_HOL_Obool))), _u7272)) )).
% 39.91/40.13 cnf(matrix-3111, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u7273, _u7274, _u7275, _u7276, _u7277), _u7278)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7273), _u7277)) )).
% 39.91/40.13 cnf(matrix-3112, plain, ( ~class_Orderings_Olinorder(_u7279) | c_Finite__Set_Ofun__left__comm__idem(_u7279, _u7279, c_Orderings_Oord__class_Omin(_u7279)) )).
% 39.91/40.13 cnf(matrix-3113, plain, ( ~class_Groups_Ocomm__monoid__add(_u7280) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7281, _u7280), hAPP(c_COMBK(_u7280, _u7281), c_Groups_Ozero__class_Ozero(_u7280))), _u7282) = c_Groups_Ozero__class_Ozero(_u7280)) )).
% 39.91/40.13 cnf(matrix-3114, plain, ( ~hBOOL(hAPP(_u7283, _u7284)) | hBOOL(hAPP(_u7283, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( c_Orderings_Oord__class_OLeast(tc_Nat_Onat, _u7283) = hAPP(c_Nat_OSuc, c_Orderings_Oord__class_OLeast(tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_Nat_Onat), _u7283), c_Nat_OSuc)))) )).
% 39.91/40.13 cnf(matrix-3115, plain, ( ~class_Groups_Olinordered__ab__group__add(_u7285) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7285), c_Groups_Ozero__class_Ozero(_u7285)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7285), _u7286), _u7286))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7285), c_Groups_Ozero__class_Ozero(_u7285)), _u7286)) )).
% 39.91/40.13 cnf(matrix-3116, plain, ( ~class_Groups_Olinordered__ab__group__add(_u7285) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7285), c_Groups_Ozero__class_Ozero(_u7285)), _u7286)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7285), c_Groups_Ozero__class_Ozero(_u7285)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7285), _u7286), _u7286))) )).
% 39.91/40.13 cnf(matrix-3117, plain, ( ~class_Groups_Olinordered__ab__group__add(_u7287) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7287), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7287), _u7288), _u7288)), c_Groups_Ozero__class_Ozero(_u7287))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7287), _u7288), c_Groups_Ozero__class_Ozero(_u7287))) )).
% 39.91/40.13 cnf(matrix-3118, plain, ( ~class_Groups_Olinordered__ab__group__add(_u7287) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7287), _u7288), c_Groups_Ozero__class_Ozero(_u7287))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7287), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7287), _u7288), _u7288)), c_Groups_Ozero__class_Ozero(_u7287))) )).
% 39.91/40.13 cnf(matrix-3119, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u7289) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7289), c_Groups_Ozero__class_Ozero(_u7289)), _u7290)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7289), c_Groups_Ozero__class_Ozero(_u7289)), _u7291)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7289), c_Groups_Ozero__class_Ozero(_u7289)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7289), _u7290), _u7291))) )).
% 39.91/40.13 cnf(matrix-3120, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u7292) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7292), c_Groups_Ozero__class_Ozero(_u7292)), _u7293)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7292), c_Groups_Ozero__class_Ozero(_u7292)), _u7294)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7292), _u7293), _u7294) != c_Groups_Ozero__class_Ozero(_u7292)) | ( _u7293 = c_Groups_Ozero__class_Ozero(_u7292)) )).
% 39.91/40.13 cnf(matrix-3121, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u7292) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7292), c_Groups_Ozero__class_Ozero(_u7292)), _u7293)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7292), c_Groups_Ozero__class_Ozero(_u7292)), _u7294)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7292), _u7293), _u7294) != c_Groups_Ozero__class_Ozero(_u7292)) | ( _u7294 = c_Groups_Ozero__class_Ozero(_u7292)) )).
% 39.91/40.13 cnf(matrix-3122, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u7292) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7292), c_Groups_Ozero__class_Ozero(_u7292)), _u7293)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7292), c_Groups_Ozero__class_Ozero(_u7292)), _u7294)) | ( _u7293 != c_Groups_Ozero__class_Ozero(_u7292)) | ( _u7294 != c_Groups_Ozero__class_Ozero(_u7292)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7292), _u7293), _u7294) = c_Groups_Ozero__class_Ozero(_u7292)) )).
% 39.91/40.13 cnf(matrix-3123, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u7295) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7295), c_Groups_Ozero__class_Ozero(_u7295)), _u7296)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7295), _u7297), _u7298)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7295), _u7297), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7295), _u7296), _u7298))) )).
% 39.91/40.13 cnf(matrix-3124, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u7299) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7299), c_Groups_Ozero__class_Ozero(_u7299)), _u7300)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7299), _u7301), _u7302)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7299), _u7301), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7299), _u7302), _u7300))) )).
% 39.91/40.13 cnf(matrix-3125, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u7303) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7303), _u7304), c_Groups_Ozero__class_Ozero(_u7303))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7303), _u7305), c_Groups_Ozero__class_Ozero(_u7303))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7303), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7303), _u7304), _u7305)), c_Groups_Ozero__class_Ozero(_u7303))) )).
% 39.91/40.13 cnf(matrix-3126, plain, ( ~class_Rings_Oordered__cancel__semiring(_u7306) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7306), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7306), _u7307), _u7308)), c_Groups_Ozero__class_Ozero(_u7306))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7306), c_Groups_Ozero__class_Ozero(_u7306)), _u7307)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7306), _u7308), c_Groups_Ozero__class_Ozero(_u7306))) )).
% 39.91/40.13 cnf(matrix-3127, plain, ( ~class_Rings_Oordered__cancel__semiring(_u7306) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7306), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7306), _u7307), _u7308)), c_Groups_Ozero__class_Ozero(_u7306))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7306), _u7307), c_Groups_Ozero__class_Ozero(_u7306))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7306), c_Groups_Ozero__class_Ozero(_u7306)), _u7308)) )).
% 39.91/40.13 cnf(matrix-3128, plain, ( ~class_Rings_Oordered__ring(_u7309) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7309), c_Groups_Ozero__class_Ozero(_u7309)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7309), _u7310), _u7311))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7309), c_Groups_Ozero__class_Ozero(_u7309)), _u7310)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7309), c_Groups_Ozero__class_Ozero(_u7309)), _u7311)) )).
% 39.91/40.13 cnf(matrix-3129, plain, ( ~class_Rings_Oordered__ring(_u7309) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7309), c_Groups_Ozero__class_Ozero(_u7309)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7309), _u7310), _u7311))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7309), _u7310), c_Groups_Ozero__class_Ozero(_u7309))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7309), _u7311), c_Groups_Ozero__class_Ozero(_u7309))) )).
% 39.91/40.13 cnf(matrix-3130, plain, ( ~class_Rings_Oordered__semiring(_u7312) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7312), _u7313), _u7314)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7312), _u7315), _u7316)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7312), c_Groups_Ozero__class_Ozero(_u7312)), _u7314)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7312), c_Groups_Ozero__class_Ozero(_u7312)), _u7315)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7312), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7312), _u7313), _u7315)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7312), _u7314), _u7316))) )).
% 39.91/40.13 cnf(matrix-3131, plain, ( ~class_Rings_Oordered__semiring(_u7317) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7317), _u7318), _u7319)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7317), _u7320), _u7321)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7317), c_Groups_Ozero__class_Ozero(_u7317)), _u7318)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7317), c_Groups_Ozero__class_Ozero(_u7317)), _u7320)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7317), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7317), _u7318), _u7320)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7317), _u7319), _u7321))) )).
% 39.91/40.13 cnf(matrix-3132, plain, ( ~class_Rings_Oordered__ring(_u7322) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7322), _u7323), _u7324)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7322), _u7325), c_Groups_Ozero__class_Ozero(_u7322))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7322), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7322), _u7325), _u7324)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7322), _u7325), _u7323))) )).
% 39.91/40.13 cnf(matrix-3133, plain, ( ~class_Rings_Oordered__ring(_u7326) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7326), _u7327), _u7328)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7326), _u7329), c_Groups_Ozero__class_Ozero(_u7326))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7326), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7326), _u7328), _u7329)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7326), _u7327), _u7329))) )).
% 39.91/40.13 cnf(matrix-3134, plain, ( ~class_Rings_Oordered__comm__semiring(_u7330) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7330), _u7331), _u7332)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7330), c_Groups_Ozero__class_Ozero(_u7330)), _u7333)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7330), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7330), _u7333), _u7331)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7330), _u7333), _u7332))) )).
% 39.91/40.13 cnf(matrix-3135, plain, ( ~class_Rings_Oordered__semiring(_u7334) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7334), _u7335), _u7336)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7334), c_Groups_Ozero__class_Ozero(_u7334)), _u7337)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7334), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7334), _u7337), _u7335)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7334), _u7337), _u7336))) )).
% 39.91/40.13 cnf(matrix-3136, plain, ( ~class_Rings_Oordered__semiring(_u7338) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7338), _u7339), _u7340)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7338), c_Groups_Ozero__class_Ozero(_u7338)), _u7341)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7338), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7338), _u7339), _u7341)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7338), _u7340), _u7341))) )).
% 39.91/40.13 cnf(matrix-3137, plain, ( ~class_Rings_Oordered__ring(_u7342) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7342), _u7343), c_Groups_Ozero__class_Ozero(_u7342))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7342), _u7344), c_Groups_Ozero__class_Ozero(_u7342))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7342), c_Groups_Ozero__class_Ozero(_u7342)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7342), _u7343), _u7344))) )).
% 39.91/40.13 cnf(matrix-3138, plain, ( ~class_Rings_Oordered__cancel__semiring(_u7345) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7345), _u7346), c_Groups_Ozero__class_Ozero(_u7345))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7345), c_Groups_Ozero__class_Ozero(_u7345)), _u7347)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7345), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7345), _u7346), _u7347)), c_Groups_Ozero__class_Ozero(_u7345))) )).
% 39.91/40.13 cnf(matrix-3139, plain, ( ~class_Rings_Oordered__cancel__semiring(_u7348) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7348), c_Groups_Ozero__class_Ozero(_u7348)), _u7349)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7348), _u7350), c_Groups_Ozero__class_Ozero(_u7348))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7348), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7348), _u7350), _u7349)), c_Groups_Ozero__class_Ozero(_u7348))) )).
% 39.91/40.13 cnf(matrix-3140, plain, ( ~class_Rings_Oordered__cancel__semiring(_u7351) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7351), c_Groups_Ozero__class_Ozero(_u7351)), _u7352)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7351), _u7353), c_Groups_Ozero__class_Ozero(_u7351))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7351), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7351), _u7352), _u7353)), c_Groups_Ozero__class_Ozero(_u7351))) )).
% 39.91/40.13 cnf(matrix-3141, plain, ( ~class_Rings_Oordered__cancel__semiring(_u7354) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7354), c_Groups_Ozero__class_Ozero(_u7354)), _u7355)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7354), c_Groups_Ozero__class_Ozero(_u7354)), _u7356)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7354), c_Groups_Ozero__class_Ozero(_u7354)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7354), _u7355), _u7356))) )).
% 39.91/40.13 cnf(matrix-3142, plain, ( ~class_Rings_Olinordered__ring__strict(_u7357) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7357), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7357), _u7358), _u7359)), c_Groups_Ozero__class_Ozero(_u7357))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7357), c_Groups_Ozero__class_Ozero(_u7357)), _u7358)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7357), _u7358), c_Groups_Ozero__class_Ozero(_u7357))) )).
% 39.91/40.13 cnf(matrix-3143, plain, ( ~class_Rings_Olinordered__ring__strict(_u7357) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7357), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7357), _u7358), _u7359)), c_Groups_Ozero__class_Ozero(_u7357))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7357), c_Groups_Ozero__class_Ozero(_u7357)), _u7358)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7357), c_Groups_Ozero__class_Ozero(_u7357)), _u7359)) )).
% 39.91/40.13 cnf(matrix-3144, plain, ( ~class_Rings_Olinordered__ring__strict(_u7357) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7357), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7357), _u7358), _u7359)), c_Groups_Ozero__class_Ozero(_u7357))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7357), _u7359), c_Groups_Ozero__class_Ozero(_u7357))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7357), _u7358), c_Groups_Ozero__class_Ozero(_u7357))) )).
% 39.91/40.13 cnf(matrix-3145, plain, ( ~class_Rings_Olinordered__ring__strict(_u7357) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7357), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7357), _u7358), _u7359)), c_Groups_Ozero__class_Ozero(_u7357))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7357), _u7359), c_Groups_Ozero__class_Ozero(_u7357))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7357), c_Groups_Ozero__class_Ozero(_u7357)), _u7359)) )).
% 39.91/40.13 cnf(matrix-3146, plain, ( ~class_Rings_Olinordered__ring__strict(_u7357) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7357), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7357), _u7358), _u7359)), c_Groups_Ozero__class_Ozero(_u7357))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7357), c_Groups_Ozero__class_Ozero(_u7357)), _u7358)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7357), _u7359), c_Groups_Ozero__class_Ozero(_u7357))) )).
% 39.91/40.13 cnf(matrix-3147, plain, ( ~class_Rings_Olinordered__ring__strict(_u7357) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7357), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7357), _u7358), _u7359)), c_Groups_Ozero__class_Ozero(_u7357))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7357), _u7358), c_Groups_Ozero__class_Ozero(_u7357))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7357), c_Groups_Ozero__class_Ozero(_u7357)), _u7359)) )).
% 39.91/40.13 cnf(matrix-3148, plain, ( ~class_Rings_Olinordered__ring__strict(_u7360) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7360), c_Groups_Ozero__class_Ozero(_u7360)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7360), _u7361), _u7362))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7360), c_Groups_Ozero__class_Ozero(_u7360)), _u7361)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7360), _u7361), c_Groups_Ozero__class_Ozero(_u7360))) )).
% 39.91/40.13 cnf(matrix-3149, plain, ( ~class_Rings_Olinordered__ring__strict(_u7360) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7360), c_Groups_Ozero__class_Ozero(_u7360)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7360), _u7361), _u7362))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7360), c_Groups_Ozero__class_Ozero(_u7360)), _u7361)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7360), _u7362), c_Groups_Ozero__class_Ozero(_u7360))) )).
% 39.91/40.13 cnf(matrix-3150, plain, ( ~class_Rings_Olinordered__ring__strict(_u7360) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7360), c_Groups_Ozero__class_Ozero(_u7360)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7360), _u7361), _u7362))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7360), c_Groups_Ozero__class_Ozero(_u7360)), _u7362)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7360), _u7361), c_Groups_Ozero__class_Ozero(_u7360))) )).
% 39.91/40.13 cnf(matrix-3151, plain, ( ~class_Rings_Olinordered__ring__strict(_u7360) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7360), c_Groups_Ozero__class_Ozero(_u7360)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7360), _u7361), _u7362))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7360), c_Groups_Ozero__class_Ozero(_u7360)), _u7362)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7360), _u7362), c_Groups_Ozero__class_Ozero(_u7360))) )).
% 39.91/40.13 cnf(matrix-3152, plain, ( ~class_Rings_Olinordered__ring__strict(_u7360) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7360), c_Groups_Ozero__class_Ozero(_u7360)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7360), _u7361), _u7362))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7360), c_Groups_Ozero__class_Ozero(_u7360)), _u7361)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7360), c_Groups_Ozero__class_Ozero(_u7360)), _u7362)) )).
% 39.91/40.13 cnf(matrix-3153, plain, ( ~class_Rings_Olinordered__ring__strict(_u7360) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7360), c_Groups_Ozero__class_Ozero(_u7360)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7360), _u7361), _u7362))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7360), _u7361), c_Groups_Ozero__class_Ozero(_u7360))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7360), _u7362), c_Groups_Ozero__class_Ozero(_u7360))) )).
% 39.91/40.13 cnf(matrix-3154, plain, ( ~class_Rings_Olinordered__ring(_u7363) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7363), c_Groups_Ozero__class_Ozero(_u7363)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7363), _u7364), _u7364))) )).
% 39.91/40.13 cnf(matrix-3155, plain, ( ~class_Rings_Olinordered__semidom(_u7365) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7365), c_Groups_Ozero__class_Ozero(_u7365)), _u7366)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7365), _u7367), _u7368)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7365), _u7367), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7365), _u7366), _u7368))) )).
% 39.91/40.13 cnf(matrix-3156, plain, ( ~class_Groups_Olinordered__ab__group__add(_u7369) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7369), c_Groups_Ozero__class_Ozero(_u7369)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7369), _u7370), _u7370))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7369), c_Groups_Ozero__class_Ozero(_u7369)), _u7370)) )).
% 39.91/40.13 cnf(matrix-3157, plain, ( ~class_Groups_Olinordered__ab__group__add(_u7369) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7369), c_Groups_Ozero__class_Ozero(_u7369)), _u7370)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7369), c_Groups_Ozero__class_Ozero(_u7369)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7369), _u7370), _u7370))) )).
% 39.91/40.13 cnf(matrix-3158, plain, ( ~class_Groups_Olinordered__ab__group__add(_u7371) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7371), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7371), _u7372), _u7372)), c_Groups_Ozero__class_Ozero(_u7371))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7371), _u7372), c_Groups_Ozero__class_Ozero(_u7371))) )).
% 39.91/40.13 cnf(matrix-3159, plain, ( ~class_Groups_Olinordered__ab__group__add(_u7371) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7371), _u7372), c_Groups_Ozero__class_Ozero(_u7371))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7371), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7371), _u7372), _u7372)), c_Groups_Ozero__class_Ozero(_u7371))) )).
% 39.91/40.13 cnf(matrix-3160, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u7373) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7373), c_Groups_Ozero__class_Ozero(_u7373)), _u7374)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7373), c_Groups_Ozero__class_Ozero(_u7373)), _u7375)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7373), c_Groups_Ozero__class_Ozero(_u7373)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7373), _u7374), _u7375))) )).
% 39.91/40.13 cnf(matrix-3161, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u7376) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7376), _u7377), c_Groups_Ozero__class_Ozero(_u7376))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7376), _u7378), c_Groups_Ozero__class_Ozero(_u7376))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7376), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7376), _u7377), _u7378)), c_Groups_Ozero__class_Ozero(_u7376))) )).
% 39.91/40.13 cnf(matrix-3162, plain, ( ~class_Rings_Olinordered__ring(_u7379) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7379), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7379), _u7380), _u7380)), c_Groups_Ozero__class_Ozero(_u7379))) )).
% 39.91/40.13 cnf(matrix-3163, plain, ( ~class_Rings_Olinordered__ring__strict(_u7381) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7381), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7381), _u7382), _u7383)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7381), _u7384), _u7383))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7381), c_Groups_Ozero__class_Ozero(_u7381)), _u7383)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7381), _u7383), c_Groups_Ozero__class_Ozero(_u7381))) )).
% 39.91/40.13 cnf(matrix-3164, plain, ( ~class_Rings_Olinordered__ring__strict(_u7381) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7381), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7381), _u7382), _u7383)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7381), _u7384), _u7383))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7381), c_Groups_Ozero__class_Ozero(_u7381)), _u7383)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7381), _u7384), _u7382)) )).
% 39.91/40.13 cnf(matrix-3165, plain, ( ~class_Rings_Olinordered__ring__strict(_u7381) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7381), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7381), _u7382), _u7383)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7381), _u7384), _u7383))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7381), _u7382), _u7384)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7381), _u7383), c_Groups_Ozero__class_Ozero(_u7381))) )).
% 39.91/40.13 cnf(matrix-3166, plain, ( ~class_Rings_Olinordered__ring__strict(_u7381) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7381), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7381), _u7382), _u7383)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7381), _u7384), _u7383))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7381), _u7382), _u7384)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7381), _u7384), _u7382)) )).
% 39.91/40.13 cnf(matrix-3167, plain, ( ~class_Rings_Olinordered__ring__strict(_u7381) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7381), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7381), _u7382), _u7383)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7381), _u7384), _u7383))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7381), c_Groups_Ozero__class_Ozero(_u7381)), _u7383)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7381), _u7382), _u7384)) )).
% 39.91/40.13 cnf(matrix-3168, plain, ( ~class_Rings_Olinordered__ring__strict(_u7381) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7381), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7381), _u7382), _u7383)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7381), _u7384), _u7383))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7381), _u7383), c_Groups_Ozero__class_Ozero(_u7381))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7381), _u7384), _u7382)) )).
% 39.91/40.13 cnf(matrix-3169, plain, ( ~class_Rings_Olinordered__ring__strict(_u7385) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7385), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7385), _u7386), _u7387)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7385), _u7386), _u7388))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7385), c_Groups_Ozero__class_Ozero(_u7385)), _u7386)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7385), _u7386), c_Groups_Ozero__class_Ozero(_u7385))) )).
% 39.91/40.13 cnf(matrix-3170, plain, ( ~class_Rings_Olinordered__ring__strict(_u7385) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7385), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7385), _u7386), _u7387)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7385), _u7386), _u7388))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7385), c_Groups_Ozero__class_Ozero(_u7385)), _u7386)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7385), _u7388), _u7387)) )).
% 39.91/40.13 cnf(matrix-3171, plain, ( ~class_Rings_Olinordered__ring__strict(_u7385) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7385), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7385), _u7386), _u7387)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7385), _u7386), _u7388))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7385), _u7387), _u7388)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7385), _u7386), c_Groups_Ozero__class_Ozero(_u7385))) )).
% 39.91/40.13 cnf(matrix-3172, plain, ( ~class_Rings_Olinordered__ring__strict(_u7385) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7385), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7385), _u7386), _u7387)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7385), _u7386), _u7388))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7385), _u7387), _u7388)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7385), _u7388), _u7387)) )).
% 39.91/40.13 cnf(matrix-3173, plain, ( ~class_Rings_Olinordered__ring__strict(_u7385) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7385), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7385), _u7386), _u7387)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7385), _u7386), _u7388))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7385), c_Groups_Ozero__class_Ozero(_u7385)), _u7386)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7385), _u7387), _u7388)) )).
% 39.91/40.13 cnf(matrix-3174, plain, ( ~class_Rings_Olinordered__ring__strict(_u7385) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7385), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7385), _u7386), _u7387)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7385), _u7386), _u7388))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7385), _u7386), c_Groups_Ozero__class_Ozero(_u7385))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7385), _u7388), _u7387)) )).
% 39.91/40.13 cnf(matrix-3175, plain, ( ~class_Rings_Olinordered__ring__strict(_u7389) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7389), c_Groups_Ozero__class_Ozero(_u7389)), _u7390)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7389), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7389), _u7390), _u7391)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7389), _u7390), _u7392))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7389), _u7391), _u7392)) )).
% 39.91/40.13 cnf(matrix-3176, plain, ( ~class_Rings_Olinordered__ring__strict(_u7389) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7389), c_Groups_Ozero__class_Ozero(_u7389)), _u7390)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7389), _u7391), _u7392)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7389), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7389), _u7390), _u7391)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7389), _u7390), _u7392))) )).
% 39.91/40.13 cnf(matrix-3177, plain, ( ~class_Rings_Olinordered__semiring__strict(_u7393) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7393), c_Groups_Ozero__class_Ozero(_u7393)), _u7394)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7393), c_Groups_Ozero__class_Ozero(_u7393)), _u7395)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7393), c_Groups_Ozero__class_Ozero(_u7393)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7393), _u7394), _u7395))) )).
% 39.91/40.13 cnf(matrix-3178, plain, ( ~class_Rings_Olinordered__semiring__strict(_u7396) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7396), c_Groups_Ozero__class_Ozero(_u7396)), _u7397)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7396), _u7398), c_Groups_Ozero__class_Ozero(_u7396))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7396), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7396), _u7397), _u7398)), c_Groups_Ozero__class_Ozero(_u7396))) )).
% 39.91/40.13 cnf(matrix-3179, plain, ( ~class_Rings_Olinordered__semiring__strict(_u7399) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7399), c_Groups_Ozero__class_Ozero(_u7399)), _u7400)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7399), _u7401), c_Groups_Ozero__class_Ozero(_u7399))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7399), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7399), _u7401), _u7400)), c_Groups_Ozero__class_Ozero(_u7399))) )).
% 39.91/40.13 cnf(matrix-3180, plain, ( ~class_Rings_Olinordered__semiring__strict(_u7402) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7402), c_Groups_Ozero__class_Ozero(_u7402)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7402), _u7403), _u7404))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7402), c_Groups_Ozero__class_Ozero(_u7402)), _u7403)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7402), c_Groups_Ozero__class_Ozero(_u7402)), _u7404)) )).
% 39.91/40.13 cnf(matrix-3181, plain, ( ~class_Rings_Olinordered__semiring__strict(_u7405) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7405), c_Groups_Ozero__class_Ozero(_u7405)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7405), _u7406), _u7407))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7405), c_Groups_Ozero__class_Ozero(_u7405)), _u7407)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7405), c_Groups_Ozero__class_Ozero(_u7405)), _u7406)) )).
% 39.91/40.13 cnf(matrix-3182, plain, ( ~class_Rings_Olinordered__ring__strict(_u7408) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7408), _u7409), c_Groups_Ozero__class_Ozero(_u7408))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7408), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7408), _u7409), _u7410)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7408), _u7409), _u7411))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7408), _u7411), _u7410)) )).
% 39.91/40.13 cnf(matrix-3183, plain, ( ~class_Rings_Olinordered__ring__strict(_u7408) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7408), _u7409), c_Groups_Ozero__class_Ozero(_u7408))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7408), _u7411), _u7410)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7408), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7408), _u7409), _u7410)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7408), _u7409), _u7411))) )).
% 39.91/40.13 cnf(matrix-3184, plain, ( ~class_Rings_Olinordered__semiring__strict(_u7412) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7412), _u7413), c_Groups_Ozero__class_Ozero(_u7412))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7412), c_Groups_Ozero__class_Ozero(_u7412)), _u7414)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7412), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7412), _u7413), _u7414)), c_Groups_Ozero__class_Ozero(_u7412))) )).
% 39.91/40.13 cnf(matrix-3185, plain, ( ~class_Rings_Olinordered__ring__strict(_u7415) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7415), _u7416), c_Groups_Ozero__class_Ozero(_u7415))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7415), _u7417), c_Groups_Ozero__class_Ozero(_u7415))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7415), c_Groups_Ozero__class_Ozero(_u7415)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7415), _u7416), _u7417))) )).
% 39.91/40.13 cnf(matrix-3186, plain, ( ~class_Rings_Olinordered__semiring__strict(_u7418) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7418), _u7419), _u7420)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7418), c_Groups_Ozero__class_Ozero(_u7418)), _u7421)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7418), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7418), _u7419), _u7421)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7418), _u7420), _u7421))) )).
% 39.91/40.13 cnf(matrix-3187, plain, ( ~class_Rings_Olinordered__semiring__strict(_u7422) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7422), _u7423), _u7424)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7422), c_Groups_Ozero__class_Ozero(_u7422)), _u7425)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7422), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7422), _u7425), _u7423)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7422), _u7425), _u7424))) )).
% 39.91/40.13 cnf(matrix-3188, plain, ( ~class_Rings_Olinordered__comm__semiring__strict(_u7426) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7426), _u7427), _u7428)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7426), c_Groups_Ozero__class_Ozero(_u7426)), _u7429)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7426), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7426), _u7429), _u7427)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7426), _u7429), _u7428))) )).
% 39.91/40.13 cnf(matrix-3189, plain, ( ~class_Rings_Olinordered__ring__strict(_u7430) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7430), _u7431), _u7432)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7430), _u7433), c_Groups_Ozero__class_Ozero(_u7430))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7430), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7430), _u7432), _u7433)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7430), _u7431), _u7433))) )).
% 39.91/40.13 cnf(matrix-3190, plain, ( ~class_Rings_Olinordered__ring__strict(_u7434) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7434), _u7435), _u7436)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7434), _u7437), c_Groups_Ozero__class_Ozero(_u7434))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7434), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7434), _u7437), _u7436)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7434), _u7437), _u7435))) )).
% 39.91/40.13 cnf(matrix-3191, plain, ( ~class_Groups_Oordered__ab__group__add(_u7438) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7438), _u7439), _u7440)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7438), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7438), _u7439), _u7440)), c_Groups_Ozero__class_Ozero(_u7438))) )).
% 39.91/40.13 cnf(matrix-3192, plain, ( ~class_Groups_Oordered__ab__group__add(_u7438) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7438), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7438), _u7439), _u7440)), c_Groups_Ozero__class_Ozero(_u7438))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7438), _u7439), _u7440)) )).
% 39.91/40.13 cnf(matrix-3193, plain, ( ~class_Groups_Oordered__ab__group__add(_u7441) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7441), _u7442), _u7443)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7441), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7441), _u7442), _u7443)), c_Groups_Ozero__class_Ozero(_u7441))) )).
% 39.91/40.13 cnf(matrix-3194, plain, ( ~class_Groups_Oordered__ab__group__add(_u7441) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7441), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7441), _u7442), _u7443)), c_Groups_Ozero__class_Ozero(_u7441))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7441), _u7442), _u7443)) )).
% 39.91/40.13 cnf(matrix-3195, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u7444) | ( _u7445 = c_Groups_Ozero__class_Ozero(_u7444)) | ( _u7446 != _u7447) | ( _u7448 = _u7449) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7444), _u7446), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7444), _u7445), _u7448)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7444), _u7447), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7444), _u7445), _u7449))) )).
% 39.91/40.13 cnf(matrix-3196, plain, ( ~class_Rings_Olinordered__ring__strict(_u7450) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7450), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7450), _u7451), _u7451)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7450), _u7452), _u7452)) != c_Groups_Ozero__class_Ozero(_u7450)) | ( _u7451 = c_Groups_Ozero__class_Ozero(_u7450)) )).
% 39.91/40.13 cnf(matrix-3197, plain, ( ~class_Rings_Olinordered__ring__strict(_u7450) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7450), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7450), _u7451), _u7451)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7450), _u7452), _u7452)) != c_Groups_Ozero__class_Ozero(_u7450)) | ( _u7452 = c_Groups_Ozero__class_Ozero(_u7450)) )).
% 39.91/40.13 cnf(matrix-3198, plain, ( ~class_Rings_Olinordered__ring__strict(_u7450) | ( _u7451 != c_Groups_Ozero__class_Ozero(_u7450)) | ( _u7452 != c_Groups_Ozero__class_Ozero(_u7450)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7450), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7450), _u7451), _u7451)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7450), _u7452), _u7452)) = c_Groups_Ozero__class_Ozero(_u7450)) )).
% 39.91/40.13 cnf(matrix-3199, plain, ( ~class_Rings_Olinordered__semidom(_u7453) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7453), c_Groups_Ozero__class_Ozero(_u7453)), c_Groups_Oone__class_Oone(_u7453))) )).
% 39.91/40.13 cnf(matrix-3200, plain, ( ~class_Rings_Olinordered__semidom(_u7454) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7454), c_Groups_Oone__class_Oone(_u7454)), c_Groups_Ozero__class_Ozero(_u7454))) )).
% 39.91/40.13 cnf(matrix-3201, plain, ( ~class_Rings_Olinordered__semidom(_u7455) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7455), c_Groups_Oone__class_Oone(_u7455)), c_Groups_Ozero__class_Ozero(_u7455))) )).
% 39.91/40.13 cnf(matrix-3202, plain, ( ~class_Rings_Olinordered__semidom(_u7456) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7456), c_Groups_Ozero__class_Ozero(_u7456)), c_Groups_Oone__class_Oone(_u7456))) )).
% 39.91/40.13 cnf(matrix-3203, plain, ( ~class_Groups_Oordered__ab__group__add(_u7457) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7457), c_Groups_Ozero__class_Ozero(_u7457)), hAPP(c_Groups_Ouminus__class_Ouminus(_u7457), _u7458))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7457), _u7458), c_Groups_Ozero__class_Ozero(_u7457))) )).
% 39.91/40.13 cnf(matrix-3204, plain, ( ~class_Groups_Oordered__ab__group__add(_u7457) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7457), _u7458), c_Groups_Ozero__class_Ozero(_u7457))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7457), c_Groups_Ozero__class_Ozero(_u7457)), hAPP(c_Groups_Ouminus__class_Ouminus(_u7457), _u7458))) )).
% 39.91/40.13 cnf(matrix-3205, plain, ( ~class_Groups_Olinordered__ab__group__add(_u7459) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7459), _u7460), hAPP(c_Groups_Ouminus__class_Ouminus(_u7459), _u7460))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7459), _u7460), c_Groups_Ozero__class_Ozero(_u7459))) )).
% 39.91/40.13 cnf(matrix-3206, plain, ( ~class_Groups_Olinordered__ab__group__add(_u7459) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7459), _u7460), c_Groups_Ozero__class_Ozero(_u7459))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7459), _u7460), hAPP(c_Groups_Ouminus__class_Ouminus(_u7459), _u7460))) )).
% 39.91/40.13 cnf(matrix-3207, plain, ( ~class_Groups_Oordered__ab__group__add(_u7461) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7461), hAPP(c_Groups_Ouminus__class_Ouminus(_u7461), _u7462)), c_Groups_Ozero__class_Ozero(_u7461))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7461), c_Groups_Ozero__class_Ozero(_u7461)), _u7462)) )).
% 39.91/40.13 cnf(matrix-3208, plain, ( ~class_Groups_Oordered__ab__group__add(_u7461) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7461), c_Groups_Ozero__class_Ozero(_u7461)), _u7462)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7461), hAPP(c_Groups_Ouminus__class_Ouminus(_u7461), _u7462)), c_Groups_Ozero__class_Ozero(_u7461))) )).
% 39.91/40.13 cnf(matrix-3209, plain, ( ~class_Groups_Olinordered__ab__group__add(_u7463) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7463), hAPP(c_Groups_Ouminus__class_Ouminus(_u7463), _u7464)), _u7464)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7463), c_Groups_Ozero__class_Ozero(_u7463)), _u7464)) )).
% 39.91/40.13 cnf(matrix-3210, plain, ( ~class_Groups_Olinordered__ab__group__add(_u7463) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7463), c_Groups_Ozero__class_Ozero(_u7463)), _u7464)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7463), hAPP(c_Groups_Ouminus__class_Ouminus(_u7463), _u7464)), _u7464)) )).
% 39.91/40.13 cnf(matrix-3211, plain, ( ~class_Rings_Olinordered__idom(_u7465) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7465), _u7466), hAPP(c_Groups_Ouminus__class_Ouminus(_u7465), _u7466))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7465), _u7466), c_Groups_Ozero__class_Ozero(_u7465))) )).
% 39.91/40.13 cnf(matrix-3212, plain, ( ~class_Rings_Olinordered__idom(_u7465) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7465), _u7466), c_Groups_Ozero__class_Ozero(_u7465))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7465), _u7466), hAPP(c_Groups_Ouminus__class_Ouminus(_u7465), _u7466))) )).
% 39.91/40.13 cnf(matrix-3213, plain, ( ~class_Groups_Oordered__ab__group__add(_u7467) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7467), c_Groups_Ozero__class_Ozero(_u7467)), hAPP(c_Groups_Ouminus__class_Ouminus(_u7467), _u7468))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7467), _u7468), c_Groups_Ozero__class_Ozero(_u7467))) )).
% 39.91/40.13 cnf(matrix-3214, plain, ( ~class_Groups_Oordered__ab__group__add(_u7467) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7467), _u7468), c_Groups_Ozero__class_Ozero(_u7467))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7467), c_Groups_Ozero__class_Ozero(_u7467)), hAPP(c_Groups_Ouminus__class_Ouminus(_u7467), _u7468))) )).
% 39.91/40.13 cnf(matrix-3215, plain, ( ~class_Groups_Oordered__ab__group__add(_u7469) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7469), hAPP(c_Groups_Ouminus__class_Ouminus(_u7469), _u7470)), c_Groups_Ozero__class_Ozero(_u7469))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7469), c_Groups_Ozero__class_Ozero(_u7469)), _u7470)) )).
% 39.91/40.13 cnf(matrix-3216, plain, ( ~class_Groups_Oordered__ab__group__add(_u7469) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7469), c_Groups_Ozero__class_Ozero(_u7469)), _u7470)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7469), hAPP(c_Groups_Ouminus__class_Ouminus(_u7469), _u7470)), c_Groups_Ozero__class_Ozero(_u7469))) )).
% 39.91/40.13 cnf(matrix-3217, plain, ( ~class_Groups_Olinordered__ab__group__add(_u7471) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7471), hAPP(c_Groups_Ouminus__class_Ouminus(_u7471), _u7472)), _u7472)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7471), c_Groups_Ozero__class_Ozero(_u7471)), _u7472)) )).
% 39.91/40.13 cnf(matrix-3218, plain, ( ~class_Groups_Olinordered__ab__group__add(_u7471) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7471), c_Groups_Ozero__class_Ozero(_u7471)), _u7472)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7471), hAPP(c_Groups_Ouminus__class_Ouminus(_u7471), _u7472)), _u7472)) )).
% 39.91/40.13 cnf(matrix-3219, plain, ( ~class_Groups_Ogroup__add(_u7473) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7473), _u7474), hAPP(c_Groups_Ouminus__class_Ouminus(_u7473), _u7474)) = c_Groups_Ozero__class_Ozero(_u7473)) )).
% 39.91/40.13 cnf(matrix-3220, plain, ( ~class_Groups_Ogroup__add(_u7475) | ( _u7476 != hAPP(c_Groups_Ouminus__class_Ouminus(_u7475), _u7477)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7475), _u7476), _u7477) = c_Groups_Ozero__class_Ozero(_u7475)) )).
% 39.91/40.13 cnf(matrix-3221, plain, ( ~class_Groups_Ogroup__add(_u7475) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7475), _u7476), _u7477) != c_Groups_Ozero__class_Ozero(_u7475)) | ( _u7476 = hAPP(c_Groups_Ouminus__class_Ouminus(_u7475), _u7477)) )).
% 39.91/40.13 cnf(matrix-3222, plain, ( ~class_Groups_Ogroup__add(_u7478) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7478), hAPP(c_Groups_Ouminus__class_Ouminus(_u7478), _u7479)), _u7479) = c_Groups_Ozero__class_Ozero(_u7478)) )).
% 39.91/40.13 cnf(matrix-3223, plain, ( ~class_Groups_Oab__group__add(_u7480) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7480), hAPP(c_Groups_Ouminus__class_Ouminus(_u7480), _u7481)), _u7481) = c_Groups_Ozero__class_Ozero(_u7480)) )).
% 39.91/40.13 cnf(matrix-3224, plain, ( ~class_Groups_Ogroup__add(_u7482) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7482), _u7483), _u7484) != c_Groups_Ozero__class_Ozero(_u7482)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u7482), _u7483) = _u7484) )).
% 39.91/40.13 cnf(matrix-3225, plain, ( ~class_Groups_Ogroup__add(_u7485) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7485), c_Groups_Ozero__class_Ozero(_u7485)), _u7486) = hAPP(c_Groups_Ouminus__class_Ouminus(_u7485), _u7486)) )).
% 39.91/40.13 cnf(matrix-3226, plain, ( ~class_Groups_Ocomm__monoid__add(_u7487) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7488, _u7487), _u7489), c_Orderings_Obot__class_Obot(tc_fun(_u7488, tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(_u7487)) )).
% 39.91/40.13 cnf(matrix-3227, plain, ( ~class_Groups_Ocomm__monoid__add(_u7490) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7491, _u7490), _u7492), c_Orderings_Obot__class_Obot(tc_fun(_u7491, tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(_u7490)) )).
% 39.91/40.13 cnf(matrix-3228, plain, ( ~class_Groups_Ocomm__monoid__add(_u7493) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7494), _u7495)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7494, _u7493), _u7496), _u7495) = c_Groups_Ozero__class_Ozero(_u7493)) )).
% 39.91/40.13 cnf(matrix-3229, plain, ( ~class_Groups_Ocomm__monoid__add(_u7497) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7498), _u7499)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7498, _u7497), _u7500), _u7499) = c_Groups_Ozero__class_Ozero(_u7497)) )).
% 39.91/40.13 cnf(matrix-3230, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7505), hAPP(c_Nat_OSuc, _u7507))) | ( _u7505 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u7505 = hAPP(c_Nat_OSuc, skolem132(_u7507, _u7505))) )).
% 39.91/40.13 cnf(matrix-3231, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7505), hAPP(c_Nat_OSuc, _u7507))) | ( _u7505 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem132(_u7507, _u7505)), _u7507)) )).
% 39.91/40.13 cnf(matrix-3232, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7506), hAPP(c_Nat_OSuc, _u7508))) | ( _u7506 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.13 cnf(matrix-3233, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7506), hAPP(c_Nat_OSuc, _u7508))) | ( _u7506 != hAPP(c_Nat_OSuc, _u7502)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7502), _u7508)) )).
% 39.91/40.13 cnf(matrix-3234, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7510), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) | ( _u7510 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.13 cnf(matrix-3235, plain, ( ( _u7511 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7511), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 39.91/40.13 cnf(matrix-3236, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7515)) | ( _u7515 = hAPP(c_Nat_OSuc, skolem133(_u7515))) )).
% 39.91/40.13 cnf(matrix-3237, plain, ( ( _u7516 != hAPP(c_Nat_OSuc, _u7513)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7516)) )).
% 39.91/40.13 cnf(matrix-3238, plain, ( ( hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7519), _u7521)) | ( _u7519 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u7519 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.13 cnf(matrix-3239, plain, ( ( hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7519), _u7521)) | ( _u7519 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u7521 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 39.91/40.13 cnf(matrix-3240, plain, ( ( hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7519), _u7521)) | ( _u7521 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u7519 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.13 cnf(matrix-3241, plain, ( ( hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7519), _u7521)) | ( _u7521 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u7521 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 39.91/40.13 cnf(matrix-3242, plain, ( ( hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7520), _u7522)) | ( _u7520 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u7522 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.13 cnf(matrix-3243, plain, ( ( hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7520), _u7522)) | ( _u7520 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u7522 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 39.91/40.13 cnf(matrix-3244, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7525), _u7527) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u7525 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u7525 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.13 cnf(matrix-3245, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7525), _u7527) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u7525 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u7527 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 39.91/40.13 cnf(matrix-3246, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7525), _u7527) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u7527 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u7525 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.13 cnf(matrix-3247, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7525), _u7527) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u7527 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u7527 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 39.91/40.13 cnf(matrix-3248, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7526), _u7528) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u7526 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u7528 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.13 cnf(matrix-3249, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7526), _u7528) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u7526 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u7528 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 39.91/40.13 cnf(matrix-3250, 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), _u7531), _u7533))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7531)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7533)) )).
% 39.91/40.13 cnf(matrix-3251, 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), _u7532), _u7534))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7532)) )).
% 39.91/40.13 cnf(matrix-3252, 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), _u7532), _u7534))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7534)) )).
% 39.91/40.13 cnf(matrix-3253, plain, ( ( hAPP(c_Finite__Set_Ocard(_u7535), c_Orderings_Obot__class_Obot(tc_fun(_u7535, tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.13 cnf(matrix-3254, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u7536), _u7537)) | ( hAPP(c_Finite__Set_Ocard(_u7536), _u7537) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.13 cnf(matrix-3255, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7540), _u7542) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u7540 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 39.91/40.13 cnf(matrix-3256, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7540), _u7542) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u7542 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 39.91/40.13 cnf(matrix-3257, plain, ( ( _u7541 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u7543 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7541), _u7543) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 39.91/40.13 cnf(matrix-3258, 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), _u7546), _u7548))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7548), _u7546)) )).
% 39.91/40.13 cnf(matrix-3259, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7549), _u7547)) | 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), _u7547), _u7549))) )).
% 39.91/40.13 cnf(matrix-3260, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7550)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7551)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7551), _u7550)), _u7551)) )).
% 39.91/40.13 cnf(matrix-3261, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7552), _u7553)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7554)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7554), _u7552)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7554), _u7553))) )).
% 39.91/40.13 cnf(matrix-3262, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7555), _u7556)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7557)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7555), _u7557)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7556), _u7557))) )).
% 39.91/40.13 cnf(matrix-3263, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7561), _u7563)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7565), _u7563))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7563)) )).
% 39.91/40.13 cnf(matrix-3264, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7561), _u7563)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7565), _u7563))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7561), _u7565)) )).
% 39.91/40.13 cnf(matrix-3265, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7564)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7562), _u7566)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7562), _u7564)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7566), _u7564))) )).
% 39.91/40.13 cnf(matrix-3266, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7570), _u7572)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7570), _u7574))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7570)) )).
% 39.91/40.13 cnf(matrix-3267, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7570), _u7572)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7570), _u7574))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7572), _u7574)) )).
% 39.91/40.13 cnf(matrix-3268, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7571)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7573), _u7575)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7571), _u7573)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7571), _u7575))) )).
% 39.91/40.13 cnf(matrix-3269, 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), _u7578), _u7580))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7578)) )).
% 39.91/40.13 cnf(matrix-3270, 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), _u7578), _u7580))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7580)) )).
% 39.91/40.13 cnf(matrix-3271, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7579)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7581)) | 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), _u7579), _u7581))) )).
% 39.91/40.13 cnf(matrix-3272, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7582)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7582), _u7583)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7582), _u7584))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7583), _u7584)) )).
% 39.91/40.13 cnf(matrix-3273, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7582)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7583), _u7584)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7582), _u7583)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7582), _u7584))) )).
% 39.91/40.13 cnf(matrix-3274, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7585)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7585), _u7586) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7585), _u7587)) | ( _u7586 = _u7587) )).
% 39.91/40.13 cnf(matrix-3275, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7585)) | ( _u7586 != _u7587) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7585), _u7586) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7585), _u7587)) )).
% 39.91/40.13 cnf(matrix-3276, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7588), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7588), _u7589)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.13 cnf(matrix-3277, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7590), _u7591)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7590), _u7591) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.13 cnf(matrix-3278, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7594), _u7596) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7594), _u7596)) )).
% 39.91/40.13 cnf(matrix-3279, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7595), _u7597)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7595), _u7597) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.13 cnf(matrix-3280, plain, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 39.91/40.13 cnf(matrix-3281, plain, ( ( _u7598 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7598), _u7599)) | ( _u7599 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u7598 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.13 cnf(matrix-3282, plain, ( hBOOL(hAPP(hAPP(c_member(_u7600), _u7601), _u7602)) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u7600, _u7603, _u7604, _u7605, _u7602), _u7606)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u7600, _u7603, _u7604, _u7605, hAPP(hAPP(c_Set_Oinsert(_u7600), _u7601), _u7602)), hAPP(hAPP(_u7604, _u7601), _u7606))) )).
% 39.91/40.13 cnf(matrix-3283, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7609), _u7610)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7609, tc_Nat_Onat), _u7611), _u7610) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u7609), _u7607), _u7610)) | ( hAPP(_u7611, _u7607) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.13 cnf(matrix-3284, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7609), _u7610)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7609, tc_Nat_Onat), _u7611), _u7610) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u7609), skolem134(_u7611, _u7610, _u7609)), _u7610)) )).
% 39.91/40.13 cnf(matrix-3285, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7609), _u7610)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7609, tc_Nat_Onat), _u7611), _u7610) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(_u7611, skolem134(_u7611, _u7610, _u7609)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.13 cnf(matrix-3286, plain, ( ~class_Orderings_Olinorder(_u7612) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7612), _u7613)) | ~hBOOL(hAPP(hAPP(c_member(_u7612), _u7614), _u7613)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7612), _u7614), c_Big__Operators_Olinorder__class_OMin(_u7612, _u7613)) = c_Big__Operators_Olinorder__class_OMin(_u7612, _u7613)) )).
% 39.91/40.13 cnf(matrix-3287, plain, ( ~class_Lattices_Osemilattice__inf(_u7615) | ~class_Orderings_Olinorder(_u7616) | ~c_Orderings_Oorder__class_Omono(_u7616, _u7615, _u7617) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7615), hAPP(_u7617, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7616), _u7618), _u7619))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u7615), hAPP(_u7617, _u7618)), hAPP(_u7617, _u7619)))) )).
% 39.91/40.13 cnf(matrix-3288, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u7620) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7620), _u7621), c_Groups_Ozero__class_Ozero(_u7620))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7620), _u7622), c_Groups_Ozero__class_Ozero(_u7620))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7620), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7620), _u7621), _u7622)), c_Groups_Ozero__class_Ozero(_u7620))) )).
% 39.91/40.13 cnf(matrix-3289, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u7623) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7623), _u7624), c_Groups_Ozero__class_Ozero(_u7623))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7623), _u7625), c_Groups_Ozero__class_Ozero(_u7623))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7623), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7623), _u7624), _u7625)), c_Groups_Ozero__class_Ozero(_u7623))) )).
% 39.91/40.13 cnf(matrix-3290, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u7626) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7626), c_Groups_Ozero__class_Ozero(_u7626)), _u7627)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7626), _u7628), _u7629)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7626), _u7628), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7626), _u7627), _u7629))) )).
% 39.91/40.13 cnf(matrix-3291, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u7630) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7630), c_Groups_Ozero__class_Ozero(_u7630)), _u7631)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7630), _u7632), _u7633)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7630), _u7632), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7630), _u7631), _u7633))) )).
% 39.91/40.13 cnf(matrix-3292, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u7634) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7634), c_Groups_Ozero__class_Ozero(_u7634)), _u7635)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7634), c_Groups_Ozero__class_Ozero(_u7634)), _u7636)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7634), c_Groups_Ozero__class_Ozero(_u7634)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7634), _u7635), _u7636))) )).
% 39.91/40.13 cnf(matrix-3293, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u7637) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7637), c_Groups_Ozero__class_Ozero(_u7637)), _u7638)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7637), c_Groups_Ozero__class_Ozero(_u7637)), _u7639)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7637), c_Groups_Ozero__class_Ozero(_u7637)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7637), _u7638), _u7639))) )).
% 39.91/40.13 cnf(matrix-3294, plain, ( ~class_Rings_Olinordered__semiring__strict(_u7640) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7640), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7640), _u7641), _u7642)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7640), _u7641), _u7643))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7640), c_Groups_Ozero__class_Ozero(_u7640)), _u7641)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7640), _u7642), _u7643)) )).
% 39.91/40.13 cnf(matrix-3295, plain, ( ~class_Rings_Olinordered__semiring__strict(_u7644) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7644), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7644), _u7645), _u7646)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7644), _u7647), _u7646))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7644), c_Groups_Ozero__class_Ozero(_u7644)), _u7646)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7644), _u7645), _u7647)) )).
% 39.91/40.13 cnf(matrix-3296, plain, ( ~class_Rings_Olinordered__semiring__strict(_u7648) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7648), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7648), _u7649), _u7650)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7648), _u7649), _u7651))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7648), c_Groups_Ozero__class_Ozero(_u7648)), _u7649)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7648), _u7650), _u7651)) )).
% 39.91/40.13 cnf(matrix-3297, plain, ( ~class_Rings_Olinordered__semiring(_u7652) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7652), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7652), _u7653), _u7654)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7652), _u7653), _u7655))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7652), c_Groups_Ozero__class_Ozero(_u7652)), _u7653)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7652), _u7654), _u7655)) )).
% 39.91/40.13 cnf(matrix-3298, plain, ( ~class_Rings_Olinordered__semiring__strict(_u7656) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7656), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7656), _u7657), _u7658)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7656), _u7659), _u7658))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7656), c_Groups_Ozero__class_Ozero(_u7656)), _u7658)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7656), _u7657), _u7659)) )).
% 39.91/40.13 cnf(matrix-3299, plain, ( ~class_Rings_Olinordered__semiring(_u7660) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7660), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7660), _u7661), _u7662)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7660), _u7663), _u7662))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7660), c_Groups_Ozero__class_Ozero(_u7660)), _u7662)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7660), _u7661), _u7663)) )).
% 39.91/40.13 cnf(matrix-3300, plain, ( ~class_Rings_Olinordered__semiring__strict(_u7664) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7664), _u7665), _u7666)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7664), _u7667), _u7668)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7664), c_Groups_Ozero__class_Ozero(_u7664)), _u7665)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7664), c_Groups_Ozero__class_Ozero(_u7664)), _u7667)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7664), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7664), _u7665), _u7667)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7664), _u7666), _u7668))) )).
% 39.91/40.13 cnf(matrix-3301, plain, ( ~class_Rings_Olinordered__semiring__strict(_u7669) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7669), _u7670), _u7671)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7669), _u7672), _u7673)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7669), c_Groups_Ozero__class_Ozero(_u7669)), _u7670)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7669), c_Groups_Ozero__class_Ozero(_u7669)), _u7672)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7669), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7669), _u7670), _u7672)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7669), _u7671), _u7673))) )).
% 39.91/40.13 cnf(matrix-3302, plain, ( ~class_Rings_Olinordered__semiring__strict(_u7674) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7674), _u7675), _u7676)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7674), _u7677), _u7678)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7674), c_Groups_Ozero__class_Ozero(_u7674)), _u7675)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7674), c_Groups_Ozero__class_Ozero(_u7674)), _u7677)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7674), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7674), _u7675), _u7677)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7674), _u7676), _u7678))) )).
% 39.91/40.13 cnf(matrix-3303, plain, ( ~class_Rings_Olinordered__semiring__strict(_u7679) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7679), _u7680), _u7681)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7679), _u7682), _u7683)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7679), c_Groups_Ozero__class_Ozero(_u7679)), _u7681)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7679), c_Groups_Ozero__class_Ozero(_u7679)), _u7682)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7679), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7679), _u7680), _u7682)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7679), _u7681), _u7683))) )).
% 39.91/40.13 cnf(matrix-3304, plain, ( ~class_Rings_Olinordered__ring__strict(_u7684) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7684), _u7685), c_Groups_Ozero__class_Ozero(_u7684))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7684), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7684), _u7685), _u7686)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7684), _u7685), _u7687))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7684), _u7687), _u7686)) )).
% 39.91/40.13 cnf(matrix-3305, plain, ( ~class_Rings_Olinordered__ring__strict(_u7684) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7684), _u7685), c_Groups_Ozero__class_Ozero(_u7684))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7684), _u7687), _u7686)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7684), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7684), _u7685), _u7686)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7684), _u7685), _u7687))) )).
% 39.91/40.13 cnf(matrix-3306, plain, ( ~class_Rings_Olinordered__ring__strict(_u7688) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7688), c_Groups_Ozero__class_Ozero(_u7688)), _u7689)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7688), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7688), _u7689), _u7690)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7688), _u7689), _u7691))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7688), _u7690), _u7691)) )).
% 39.91/40.13 cnf(matrix-3307, plain, ( ~class_Rings_Olinordered__ring__strict(_u7688) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7688), c_Groups_Ozero__class_Ozero(_u7688)), _u7689)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7688), _u7690), _u7691)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7688), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7688), _u7689), _u7690)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7688), _u7689), _u7691))) )).
% 39.91/40.13 cnf(matrix-3308, plain, ( ~class_Rings_Olinordered__ring__strict(_u7692) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7692), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7692), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7692), _u7693), _u7693)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7692), _u7694), _u7694))), c_Groups_Ozero__class_Ozero(_u7692))) | ( _u7693 = c_Groups_Ozero__class_Ozero(_u7692)) )).
% 39.91/40.13 cnf(matrix-3309, plain, ( ~class_Rings_Olinordered__ring__strict(_u7692) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7692), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7692), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7692), _u7693), _u7693)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7692), _u7694), _u7694))), c_Groups_Ozero__class_Ozero(_u7692))) | ( _u7694 = c_Groups_Ozero__class_Ozero(_u7692)) )).
% 39.91/40.13 cnf(matrix-3310, plain, ( ~class_Rings_Olinordered__ring__strict(_u7692) | ( _u7693 != c_Groups_Ozero__class_Ozero(_u7692)) | ( _u7694 != c_Groups_Ozero__class_Ozero(_u7692)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7692), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7692), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7692), _u7693), _u7693)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7692), _u7694), _u7694))), c_Groups_Ozero__class_Ozero(_u7692))) )).
% 39.91/40.13 cnf(matrix-3311, plain, ( ~class_Rings_Olinordered__ring(_u7695) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7695), c_Groups_Ozero__class_Ozero(_u7695)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7695), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7695), _u7696), _u7696)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7695), _u7697), _u7697)))) )).
% 39.91/40.13 cnf(matrix-3312, plain, ( ~class_Rings_Olinordered__ring(_u7698) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7698), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7698), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7698), _u7699), _u7699)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7698), _u7700), _u7700))), c_Groups_Ozero__class_Ozero(_u7698))) )).
% 39.91/40.13 cnf(matrix-3313, plain, ( ~class_Rings_Olinordered__ring__strict(_u7701) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7701), c_Groups_Ozero__class_Ozero(_u7701)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7701), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7701), _u7702), _u7702)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7701), _u7703), _u7703)))) | ( _u7702 != c_Groups_Ozero__class_Ozero(_u7701)) | ( _u7703 != c_Groups_Ozero__class_Ozero(_u7701)) )).
% 39.91/40.13 cnf(matrix-3314, plain, ( ~class_Rings_Olinordered__ring__strict(_u7701) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7701), c_Groups_Ozero__class_Ozero(_u7701)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7701), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7701), _u7702), _u7702)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7701), _u7703), _u7703)))) | ( _u7702 = c_Groups_Ozero__class_Ozero(_u7701)) )).
% 39.91/40.13 cnf(matrix-3315, plain, ( ~class_Rings_Olinordered__ring__strict(_u7701) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7701), c_Groups_Ozero__class_Ozero(_u7701)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7701), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7701), _u7702), _u7702)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7701), _u7703), _u7703)))) | ( _u7703 = c_Groups_Ozero__class_Ozero(_u7701)) )).
% 39.91/40.13 cnf(matrix-3316, plain, ( ~class_Rings_Olinordered__idom(_u7704) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7704), c_Groups_Ozero__class_Ozero(_u7704)), _u7705)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7704), c_Groups_Ozero__class_Ozero(_u7704)), _u7706)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7704), _u7706), c_Groups_Oone__class_Oone(_u7704))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7704), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7704), _u7705), _u7706)), _u7705)) )).
% 39.91/40.13 cnf(matrix-3317, plain, ( ~class_Rings_Olinordered__idom(_u7707) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7707), c_Groups_Ozero__class_Ozero(_u7707)), _u7708)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7707), c_Groups_Ozero__class_Ozero(_u7707)), _u7709)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7707), _u7709), c_Groups_Oone__class_Oone(_u7707))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7707), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7707), _u7709), _u7708)), _u7708)) )).
% 39.91/40.13 cnf(matrix-3318, plain, ( ~class_Rings_Olinordered__semidom(_u7710) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7710), c_Groups_Ozero__class_Ozero(_u7710)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7710), c_Groups_Oone__class_Oone(_u7710)), c_Groups_Oone__class_Oone(_u7710)))) )).
% 39.91/40.13 cnf(matrix-3319, plain, ( ( hAPP(c_Finite__Set_Ocard(_u7713), _u7715) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u7715 = c_Orderings_Obot__class_Obot(tc_fun(_u7713, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7713), _u7715)) )).
% 39.91/40.13 cnf(matrix-3320, plain, ( ( hAPP(c_Finite__Set_Ocard(_u7714), _u7716) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u7716 != c_Orderings_Obot__class_Obot(tc_fun(_u7714, tc_HOL_Obool))) )).
% 39.91/40.13 cnf(matrix-3321, plain, ( ( hAPP(c_Finite__Set_Ocard(_u7714), _u7716) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7714), _u7716)) )).
% 39.91/40.13 cnf(matrix-3322, 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(_u7717), _u7718))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7717), _u7718)) )).
% 39.91/40.13 cnf(matrix-3323, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7719)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7719), hAPP(c_Nat_OSuc, _u7720))), _u7719)) )).
% 39.91/40.13 cnf(matrix-3324, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7721)) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7721), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) = _u7721) )).
% 39.91/40.13 cnf(matrix-3325, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u7722)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u7723)) | 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), _u7723), _u7722))) )).
% 39.91/40.13 cnf(matrix-3326, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u7724)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u7725)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7724), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7724), _u7725))) )).
% 39.91/40.13 cnf(matrix-3327, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u7726)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u7727)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7726), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7727), _u7726))) )).
% 39.91/40.13 cnf(matrix-3328, plain, ( ~hBOOL(hAPP(_u7733, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7735), _u7737))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7735), _u7737)) | hBOOL(hAPP(_u7733, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 39.91/40.13 cnf(matrix-3329, plain, ( ~hBOOL(hAPP(_u7733, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7735), _u7737))) | ( _u7735 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7737), _u7728)) | hBOOL(hAPP(_u7733, _u7728)) )).
% 39.91/40.13 cnf(matrix-3330, plain, ( hBOOL(hAPP(_u7734, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7736), _u7738))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7736), _u7738)) | ( _u7736 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7738), skolem135(_u7738, _u7736, _u7734))) )).
% 39.91/40.13 cnf(matrix-3331, plain, ( hBOOL(hAPP(_u7734, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7736), _u7738))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7736), _u7738)) | ~hBOOL(hAPP(_u7734, skolem135(_u7738, _u7736, _u7734))) )).
% 39.91/40.13 cnf(matrix-3332, plain, ( hBOOL(hAPP(_u7734, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7736), _u7738))) | ~hBOOL(hAPP(_u7734, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u7736 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7738), skolem135(_u7738, _u7736, _u7734))) )).
% 39.91/40.13 cnf(matrix-3333, plain, ( hBOOL(hAPP(_u7734, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7736), _u7738))) | ~hBOOL(hAPP(_u7734, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u7734, skolem135(_u7738, _u7736, _u7734))) )).
% 39.91/40.13 cnf(matrix-3334, plain, ( ~hBOOL(hAPP(_u7744, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7746), _u7748))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7746), _u7748)) | hBOOL(hAPP(_u7744, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 39.91/40.13 cnf(matrix-3335, plain, ( ~hBOOL(hAPP(_u7744, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7746), _u7748))) | ( _u7746 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7748), _u7739)) | hBOOL(hAPP(_u7744, _u7739)) )).
% 39.91/40.13 cnf(matrix-3336, plain, ( hBOOL(hAPP(_u7745, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7747), _u7749))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7747), _u7749)) | ( _u7747 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7749), skolem136(_u7749, _u7747, _u7745))) )).
% 39.91/40.13 cnf(matrix-3337, plain, ( hBOOL(hAPP(_u7745, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7747), _u7749))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7747), _u7749)) | ~hBOOL(hAPP(_u7745, skolem136(_u7749, _u7747, _u7745))) )).
% 39.91/40.13 cnf(matrix-3338, plain, ( hBOOL(hAPP(_u7745, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7747), _u7749))) | ~hBOOL(hAPP(_u7745, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u7747 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7749), skolem136(_u7749, _u7747, _u7745))) )).
% 39.91/40.13 cnf(matrix-3339, plain, ( hBOOL(hAPP(_u7745, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7747), _u7749))) | ~hBOOL(hAPP(_u7745, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u7745, skolem136(_u7749, _u7747, _u7745))) )).
% 39.91/40.13 cnf(matrix-3340, 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), _u7752), _u7754))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u7752)) )).
% 39.91/40.13 cnf(matrix-3341, 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), _u7752), _u7754))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u7754)) )).
% 39.91/40.13 cnf(matrix-3342, 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))), _u7753)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u7755)) | 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), _u7753), _u7755))) )).
% 39.91/40.13 cnf(matrix-3343, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7759), _u7761)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7759), _u7763))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7759)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7761), _u7763)) )).
% 39.91/40.13 cnf(matrix-3344, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7760), _u7762)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7760), _u7764))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7760)) )).
% 39.91/40.13 cnf(matrix-3345, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7760), _u7762)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7760), _u7764))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7762), _u7764)) )).
% 39.91/40.13 cnf(matrix-3346, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7768), _u7770)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7772), _u7770))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7770)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7768), _u7772)) )).
% 39.91/40.13 cnf(matrix-3347, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7769), _u7771)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7773), _u7771))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7771)) )).
% 39.91/40.13 cnf(matrix-3348, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7769), _u7771)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7773), _u7771))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7769), _u7773)) )).
% 39.91/40.13 cnf(matrix-3349, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7774)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7774), _u7775)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7774), _u7776))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7775), _u7776)) )).
% 39.91/40.13 cnf(matrix-3350, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7774)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7775), _u7776)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7774), _u7775)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7774), _u7776))) )).
% 39.91/40.13 cnf(matrix-3351, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7781), _u7782)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7781, tc_Nat_Onat), _u7783), _u7782) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_member(_u7781), skolem137(_u7783, _u7782, _u7781)), _u7782)) )).
% 39.91/40.13 cnf(matrix-3352, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7781), _u7782)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7781, tc_Nat_Onat), _u7783), _u7782) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( hAPP(_u7783, skolem137(_u7783, _u7782, _u7781)) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 39.91/40.13 cnf(matrix-3353, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7781), _u7782)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7781, tc_Nat_Onat), _u7783), _u7782) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u7781), _u7777), _u7782)) | ( skolem137(_u7783, _u7782, _u7781) = _u7777) | ( hAPP(_u7783, _u7777) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.13 cnf(matrix-3354, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7781), _u7782)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7781, tc_Nat_Onat), _u7783), _u7782) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u7781), _u7780), _u7782)) | ( hAPP(_u7783, _u7780) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_member(_u7781), skolem138(_u7783, _u7782, _u7781, _u7780)), _u7782)) )).
% 39.91/40.13 cnf(matrix-3355, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7781), _u7782)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7781, tc_Nat_Onat), _u7783), _u7782) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u7781), _u7780), _u7782)) | ( hAPP(_u7783, _u7780) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u7780 != skolem138(_u7783, _u7782, _u7781, _u7780)) )).
% 39.91/40.13 cnf(matrix-3356, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7781), _u7782)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7781, tc_Nat_Onat), _u7783), _u7782) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u7781), _u7780), _u7782)) | ( hAPP(_u7783, _u7780) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( hAPP(_u7783, skolem138(_u7783, _u7782, _u7781, _u7780)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.13 cnf(matrix-3357, plain, ( ~class_Groups_Oab__semigroup__mult(_u7784) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u7784, _u7784, c_Groups_Otimes__class_Otimes(_u7784), _u7785, _u7786), _u7787)) | hBOOL(hAPP(hAPP(c_member(_u7784), _u7785), _u7786)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u7784, _u7784, c_Groups_Otimes__class_Otimes(_u7784), _u7788, hAPP(hAPP(c_Set_Oinsert(_u7784), _u7785), _u7786)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7784), _u7788), _u7787))) )).
% 39.91/40.13 cnf(matrix-3358, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7793), _u7794)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7793, tc_Nat_Onat), _u7795), _u7794) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u7793), skolem139(_u7795, _u7794, _u7793)), _u7794)) )).
% 39.91/40.13 cnf(matrix-3359, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7793), _u7794)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7793, tc_Nat_Onat), _u7795), _u7794) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(_u7795, skolem139(_u7795, _u7794, _u7793)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 39.91/40.13 cnf(matrix-3360, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7793), _u7794)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7793, tc_Nat_Onat), _u7795), _u7794) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u7793), _u7789), _u7794)) | ( skolem139(_u7795, _u7794, _u7793) = _u7789) | ( hAPP(_u7795, _u7789) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.13 cnf(matrix-3361, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7793), _u7794)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7793, tc_Nat_Onat), _u7795), _u7794) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u7793), _u7792), _u7794)) | ( hAPP(_u7795, _u7792) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u7793), skolem140(_u7795, _u7794, _u7793, _u7792)), _u7794)) )).
% 39.91/40.13 cnf(matrix-3362, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7793), _u7794)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7793, tc_Nat_Onat), _u7795), _u7794) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u7793), _u7792), _u7794)) | ( hAPP(_u7795, _u7792) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u7792 != skolem140(_u7795, _u7794, _u7793, _u7792)) )).
% 39.91/40.13 cnf(matrix-3363, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7793), _u7794)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7793, tc_Nat_Onat), _u7795), _u7794) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u7793), _u7792), _u7794)) | ( hAPP(_u7795, _u7792) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(_u7795, skolem140(_u7795, _u7794, _u7793, _u7792)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.13 cnf(matrix-3364, plain, ( ~class_Groups_Ocomm__monoid__add(_u7796) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7797), _u7798)) | ~hBOOL(hAPP(hAPP(c_member(_u7797), _u7799), _u7798)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7797, _u7796), hAPP(hAPP(c_COMBC(_u7797, _u7796, _u7796), hAPP(hAPP(c_COMBS(_u7797, _u7796, tc_fun(_u7796, _u7796)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u7796, tc_fun(_u7796, _u7796)), _u7797), c_If(_u7796)), hAPP(hAPP(c_COMBC(_u7797, _u7797, tc_HOL_Obool), c_fequal), _u7799))), _u7800)), c_Groups_Ozero__class_Ozero(_u7796))), _u7798) = hAPP(_u7800, _u7799)) )).
% 39.91/40.13 cnf(matrix-3365, plain, ( ~class_Groups_Ocomm__monoid__add(_u7796) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7797), _u7798)) | hBOOL(hAPP(hAPP(c_member(_u7797), _u7799), _u7798)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7797, _u7796), hAPP(hAPP(c_COMBC(_u7797, _u7796, _u7796), hAPP(hAPP(c_COMBS(_u7797, _u7796, tc_fun(_u7796, _u7796)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u7796, tc_fun(_u7796, _u7796)), _u7797), c_If(_u7796)), hAPP(hAPP(c_COMBC(_u7797, _u7797, tc_HOL_Obool), c_fequal), _u7799))), _u7800)), c_Groups_Ozero__class_Ozero(_u7796))), _u7798) = c_Groups_Ozero__class_Ozero(_u7796)) )).
% 39.91/40.13 cnf(matrix-3366, plain, ( ~class_Groups_Ocomm__monoid__add(_u7801) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7802), _u7803)) | ~hBOOL(hAPP(hAPP(c_member(_u7802), _u7804), _u7803)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7802, _u7801), hAPP(hAPP(c_COMBC(_u7802, _u7801, _u7801), hAPP(hAPP(c_COMBS(_u7802, _u7801, tc_fun(_u7801, _u7801)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u7801, tc_fun(_u7801, _u7801)), _u7802), c_If(_u7801)), hAPP(c_fequal, _u7804))), _u7805)), c_Groups_Ozero__class_Ozero(_u7801))), _u7803) = hAPP(_u7805, _u7804)) )).
% 39.91/40.13 cnf(matrix-3367, plain, ( ~class_Groups_Ocomm__monoid__add(_u7801) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7802), _u7803)) | hBOOL(hAPP(hAPP(c_member(_u7802), _u7804), _u7803)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7802, _u7801), hAPP(hAPP(c_COMBC(_u7802, _u7801, _u7801), hAPP(hAPP(c_COMBS(_u7802, _u7801, tc_fun(_u7801, _u7801)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u7801, tc_fun(_u7801, _u7801)), _u7802), c_If(_u7801)), hAPP(c_fequal, _u7804))), _u7805)), c_Groups_Ozero__class_Ozero(_u7801))), _u7803) = c_Groups_Ozero__class_Ozero(_u7801)) )).
% 39.91/40.13 cnf(matrix-3368, plain, ( ~class_Orderings_Olinorder(_u7806) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7806), _u7807)) | ( _u7807 = c_Orderings_Obot__class_Obot(tc_fun(_u7806, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u7806, hAPP(hAPP(c_Set_Oinsert(_u7806), _u7808), _u7807)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7806), _u7808), c_Big__Operators_Olinorder__class_OMin(_u7806, _u7807))) )).
% 39.91/40.13 cnf(matrix-3369, plain, ( ~class_Orderings_Olinorder(_u7809) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7809), _u7810)) | ( _u7811 = c_Orderings_Obot__class_Obot(tc_fun(_u7809, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7809, tc_HOL_Obool)), _u7811), _u7810)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7809), c_Big__Operators_Olinorder__class_OMin(_u7809, _u7811)), c_Big__Operators_Olinorder__class_OMin(_u7809, _u7810)) = c_Big__Operators_Olinorder__class_OMin(_u7809, _u7810)) )).
% 39.91/40.13 cnf(matrix-3370, plain, ( ~class_Orderings_Olinorder(_u7812) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7812), _u7813)) | ( _u7813 = c_Orderings_Obot__class_Obot(tc_fun(_u7812, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7812), _u7814)) | ( _u7814 = c_Orderings_Obot__class_Obot(tc_fun(_u7812, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u7812, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7812, tc_HOL_Obool)), _u7813), _u7814)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7812), c_Big__Operators_Olinorder__class_OMin(_u7812, _u7813)), c_Big__Operators_Olinorder__class_OMin(_u7812, _u7814))) )).
% 39.91/40.13 cnf(matrix-3371, plain, ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7815)) | ( 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)), _u7815))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), _u7816)))) = 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)), _u7815))), 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, _u7816)))))) )).
% 39.91/40.13 cnf(matrix-3372, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7817)) | ( 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)), _u7817))), 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, _u7818))))) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.13 cnf(matrix-3373, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7819)) | ( 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)), _u7819))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), _u7820))))) = 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)), _u7819))), 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, _u7820)))))) )).
% 39.91/40.13 cnf(matrix-3374, plain, ( ~class_Rings_Olinordered__semiring__1(_u7821) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7821), _u7822), _u7823)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7821), _u7824), _u7823)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7821), c_Groups_Ozero__class_Ozero(_u7821)), _u7825)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7821), c_Groups_Ozero__class_Ozero(_u7821)), _u7826)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7821), _u7825), _u7826) != c_Groups_Oone__class_Oone(_u7821)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7821), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7821), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7821), _u7825), _u7822)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7821), _u7826), _u7824))), _u7823)) )).
% 39.91/40.13 cnf(matrix-3375, 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(_u7829), _u7831))) | ( _u7831 != c_Orderings_Obot__class_Obot(tc_fun(_u7829, tc_HOL_Obool))) )).
% 39.91/40.13 cnf(matrix-3376, 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(_u7829), _u7831))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7829), _u7831)) )).
% 39.91/40.13 cnf(matrix-3377, plain, ( ( _u7832 = c_Orderings_Obot__class_Obot(tc_fun(_u7830, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7830), _u7832)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u7830), _u7832))) )).
% 39.91/40.13 cnf(matrix-3378, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7833), c_Orderings_Otop__class_Otop(tc_fun(_u7833, 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(_u7833), c_Orderings_Otop__class_Otop(tc_fun(_u7833, tc_HOL_Obool))))) )).
% 39.91/40.13 cnf(matrix-3379, plain, ( ~class_Groups_Ocomm__monoid__add(_u7834) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7835), _u7836)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7835, _u7834), _u7837), _u7836) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u7834, _u7835, c_Groups_Oplus__class_Oplus(_u7834)), _u7837), c_Groups_Ozero__class_Ozero(_u7834)), _u7836)) )).
% 39.91/40.13 cnf(matrix-3380, plain, ( ~class_Groups_Ocomm__monoid__add(_u7834) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7835), _u7836)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7835, _u7834), _u7837), _u7836) = c_Groups_Ozero__class_Ozero(_u7834)) )).
% 39.91/40.13 cnf(matrix-3381, plain, ( ~class_Groups_Ocomm__monoid__add(_u7838) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7839), _u7840)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7839, _u7838), _u7841), _u7840) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u7838, _u7839, c_Groups_Oplus__class_Oplus(_u7838)), _u7841), c_Groups_Ozero__class_Ozero(_u7838)), _u7840)) )).
% 39.91/40.13 cnf(matrix-3382, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7842)) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7842), c_Groups_Oone__class_Oone(tc_Nat_Onat))) = _u7842) )).
% 39.91/40.13 cnf(matrix-3383, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7843)) | ( _u7843 = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7843), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 39.91/40.13 cnf(matrix-3384, plain, ( ( _u7846 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7846), _u7848) = _u7848) )).
% 39.91/40.13 cnf(matrix-3385, plain, ( ( _u7847 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7847), _u7849) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7847), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u7849))) )).
% 39.91/40.13 cnf(matrix-3386, plain, ( ( _u7852 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7852), _u7854) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.13 cnf(matrix-3387, plain, ( ( _u7853 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7853), _u7855) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7855), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7853), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u7855))) )).
% 39.91/40.13 cnf(matrix-3388, plain, ( ~class_Groups_Ocomm__monoid__add(_u7856) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7857), _u7858)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7857, _u7856), _u7859), hAPP(c_Set_OCollect(_u7857), hAPP(hAPP(c_COMBS(_u7857, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u7857), c_fconj), hAPP(hAPP(c_COMBC(_u7857, tc_fun(_u7857, tc_HOL_Obool), tc_HOL_Obool), c_member(_u7857)), _u7858))), hAPP(hAPP(c_COMBC(_u7857, tc_fun(_u7857, tc_HOL_Obool), tc_HOL_Obool), c_member(_u7857)), _u7860)))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7857, _u7856), hAPP(hAPP(c_COMBC(_u7857, _u7856, _u7856), hAPP(hAPP(c_COMBS(_u7857, _u7856, tc_fun(_u7856, _u7856)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u7856, tc_fun(_u7856, _u7856)), _u7857), c_If(_u7856)), hAPP(hAPP(c_COMBC(_u7857, tc_fun(_u7857, tc_HOL_Obool), tc_HOL_Obool), c_member(_u7857)), _u7860))), _u7859)), c_Groups_Ozero__class_Ozero(_u7856))), _u7858)) )).
% 39.91/40.13 cnf(matrix-3389, plain, ( ~class_Groups_Ocomm__monoid__add(_u7861) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7862), _u7863)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7862, _u7861), _u7864), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7862, tc_HOL_Obool)), _u7863), _u7865)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7862, _u7861), hAPP(hAPP(c_COMBC(_u7862, _u7861, _u7861), hAPP(hAPP(c_COMBS(_u7862, _u7861, tc_fun(_u7861, _u7861)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u7861, tc_fun(_u7861, _u7861)), _u7862), c_If(_u7861)), hAPP(hAPP(c_COMBC(_u7862, tc_fun(_u7862, tc_HOL_Obool), tc_HOL_Obool), c_member(_u7862)), _u7865))), _u7864)), c_Groups_Ozero__class_Ozero(_u7861))), _u7863)) )).
% 39.91/40.13 cnf(matrix-3390, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u7866, _u7867, _u7868, _u7869, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7866, tc_HOL_Obool)), _u7870), hAPP(hAPP(c_Set_Oinsert(_u7866), _u7871), c_Orderings_Obot__class_Obot(tc_fun(_u7866, tc_HOL_Obool))))), _u7872)) | ~hBOOL(hAPP(hAPP(c_member(_u7866), _u7871), _u7870)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u7866, _u7867, _u7868, _u7869, _u7870), hAPP(hAPP(_u7868, _u7871), _u7872))) )).
% 39.91/40.13 cnf(matrix-3391, plain, ( ~class_Orderings_Olinorder(_u7873) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7873), _u7874)) | hBOOL(hAPP(hAPP(c_member(_u7873), _u7875), _u7874)) | ( _u7874 = c_Orderings_Obot__class_Obot(tc_fun(_u7873, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u7873, hAPP(hAPP(c_Set_Oinsert(_u7873), _u7875), _u7874)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7873), _u7875), c_Big__Operators_Olinorder__class_OMin(_u7873, _u7874))) )).
% 39.91/40.13 cnf(matrix-3392, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7878), _u7880)) | ( hAPP(c_Finite__Set_Ocard(_u7878), _u7880) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_Nat_Onat, _u7878, c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), hAPP(c_COMBK(tc_Nat_Onat, _u7878), c_Groups_Oone__class_Oone(tc_Nat_Onat))), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7880)) )).
% 39.91/40.13 cnf(matrix-3393, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u7879), _u7881)) | ( hAPP(c_Finite__Set_Ocard(_u7879), _u7881) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.13 cnf(matrix-3394, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7882), _u7883)) | ( hAPP(c_Finite__Set_Ocard(_u7882), _u7883) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_Nat_Onat, _u7882, c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), hAPP(c_COMBK(tc_Nat_Onat, _u7882), c_Groups_Oone__class_Oone(tc_Nat_Onat))), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7883)) )).
% 39.91/40.13 cnf(matrix-3395, plain, ( ~class_Orderings_Olinorder(_u7884) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7884), _u7885)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7884, tc_HOL_Obool)), _u7885), hAPP(hAPP(c_Set_Oinsert(_u7884), _u7886), c_Orderings_Obot__class_Obot(tc_fun(_u7884, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u7884, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u7884, hAPP(hAPP(c_Set_Oinsert(_u7884), _u7886), _u7885)) = _u7886) )).
% 39.91/40.13 cnf(matrix-3396, plain, ( ~class_Orderings_Olinorder(_u7884) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7884), _u7885)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7884, tc_HOL_Obool)), _u7885), hAPP(hAPP(c_Set_Oinsert(_u7884), _u7886), c_Orderings_Obot__class_Obot(tc_fun(_u7884, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u7884, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u7884, hAPP(hAPP(c_Set_Oinsert(_u7884), _u7886), _u7885)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7884), _u7886), c_Big__Operators_Olinorder__class_OMin(_u7884, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7884, tc_HOL_Obool)), _u7885), hAPP(hAPP(c_Set_Oinsert(_u7884), _u7886), c_Orderings_Obot__class_Obot(tc_fun(_u7884, tc_HOL_Obool))))))) )).
% 39.91/40.13 cnf(matrix-3397, plain, ( ~class_Orderings_Olinorder(_u7887) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7887), _u7888)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7887), _u7889)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7887, tc_HOL_Obool)), _u7888), _u7889) = c_Orderings_Obot__class_Obot(tc_fun(_u7887, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7887), c_Big__Operators_Olinorder__class_OMin(_u7887, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7887, tc_HOL_Obool)), _u7888), _u7889))), c_Big__Operators_Olinorder__class_OMin(_u7887, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7887, tc_HOL_Obool)), _u7888), _u7889))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7887), c_Big__Operators_Olinorder__class_OMin(_u7887, _u7888)), c_Big__Operators_Olinorder__class_OMin(_u7887, _u7889))) )).
% 39.91/40.13 cnf(matrix-3398, plain, ( ~class_Orderings_Olinorder(_u7890) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7890), _u7891)) | ( _u7891 = c_Orderings_Obot__class_Obot(tc_fun(_u7890, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7890), _u7892)) | ( _u7892 = c_Orderings_Obot__class_Obot(tc_fun(_u7890, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7890, tc_HOL_Obool)), _u7891), _u7892) != c_Orderings_Obot__class_Obot(tc_fun(_u7890, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u7890, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7890, tc_HOL_Obool)), _u7891), _u7892)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7890), c_Big__Operators_Olinorder__class_OMin(_u7890, _u7891)), c_Big__Operators_Olinorder__class_OMin(_u7890, _u7892))) )).
% 39.91/40.13 cnf(matrix-3399, plain, ( ~class_Rings_Olinordered__semiring__1__strict(_u7893) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7893), _u7894), _u7895)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7893), _u7896), _u7895)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7893), c_Groups_Ozero__class_Ozero(_u7893)), _u7897)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7893), c_Groups_Ozero__class_Ozero(_u7893)), _u7898)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7893), _u7897), _u7898) != c_Groups_Oone__class_Oone(_u7893)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7893), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7893), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7893), _u7897), _u7894)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7893), _u7898), _u7896))), _u7895)) )).
% 39.91/40.13 cnf(matrix-3400, plain, ( ( c_Hoare__Mirabelle_Otriple_Otriple__size(_u7899, _u7900, c_Hoare__Mirabelle_Otriple_Otriple(_u7899, _u7901, _u7902, _u7903)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.13 cnf(matrix-3401, plain, ( ( c_Com_Ovname_Ovname__size(c_Com_Ovname_OGlb(_u7904)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.13 cnf(matrix-3402, plain, ( ~class_Rings_Olinordered__idom(_u7905) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7905), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7905), _u7906), _u7906)), c_Groups_Ozero__class_Ozero(_u7905))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7905), _u7906), c_Groups_Ozero__class_Ozero(_u7905))) )).
% 39.91/40.13 cnf(matrix-3403, plain, ( ~class_Rings_Olinordered__idom(_u7905) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7905), _u7906), c_Groups_Ozero__class_Ozero(_u7905))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7905), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7905), _u7906), _u7906)), c_Groups_Ozero__class_Ozero(_u7905))) )).
% 39.91/40.13 cnf(matrix-3404, plain, ( ~class_Orderings_Olinorder(_u7907) | ( c_Orderings_Oord_Omax(_u7907, hAPP(c_COMBC(_u7907, _u7907, tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(_u7907))) = c_Orderings_Oord__class_Omin(_u7907)) )).
% 39.91/40.13 cnf(matrix-3405, plain, ( ( c_Com_Ovname_Ovname__size(c_Com_Ovname_OLoc(_u7908)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.13 cnf(matrix-3406, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Hoare__Mirabelle_Otriple(_u7909)), c_Hoare__Mirabelle_Otriple_Otriple(_u7909, _u7910, _u7911, _u7912)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.13 cnf(matrix-3407, plain, ( ( c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat) = c_Orderings_Oord__class_Omin(tc_Nat_Onat)) )).
% 39.91/40.13 cnf(matrix-3408, plain, ( ~class_Groups_Olinordered__ab__group__add(_u7913) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7913), _u7914), _u7914) != c_Groups_Ozero__class_Ozero(_u7913)) | ( _u7914 = c_Groups_Ozero__class_Ozero(_u7913)) )).
% 39.91/40.13 cnf(matrix-3409, plain, ( ~class_Groups_Olinordered__ab__group__add(_u7913) | ( _u7914 != c_Groups_Ozero__class_Ozero(_u7913)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7913), _u7914), _u7914) = c_Groups_Ozero__class_Ozero(_u7913)) )).
% 39.91/40.13 cnf(matrix-3410, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7916), _u7917)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7916), _u7918)) | ( hAPP(c_Finite__Set_Ocard(_u7916), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7916, tc_HOL_Obool)), _u7917), _u7918)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u7916), _u7917)), hAPP(c_Finite__Set_Ocard(_u7916), _u7918))) | hBOOL(hAPP(hAPP(c_member(_u7916), skolem141(_u7918, _u7917, _u7916)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7916, tc_HOL_Obool)), _u7917), _u7918))) )).
% 39.91/40.13 cnf(matrix-3411, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7916), _u7917)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7916), _u7918)) | ( hAPP(c_Finite__Set_Ocard(_u7916), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7916, tc_HOL_Obool)), _u7917), _u7918)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u7916), _u7917)), hAPP(c_Finite__Set_Ocard(_u7916), _u7918))) | ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.13 cnf(matrix-3412, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u7920) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7921), _u7922)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7921, tc_HOL_Obool)), _u7923), _u7922)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7920), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7921, _u7920), _u7924), _u7923)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7921, _u7920), _u7924), _u7922))) | hBOOL(hAPP(hAPP(c_member(_u7921), skolem142(_u7924, _u7923, _u7922, _u7921, _u7920)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7921, tc_HOL_Obool)), _u7922), _u7923))) )).
% 39.91/40.13 cnf(matrix-3413, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u7920) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7921), _u7922)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7921, tc_HOL_Obool)), _u7923), _u7922)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7920), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7921, _u7920), _u7924), _u7923)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7921, _u7920), _u7924), _u7922))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7920), c_Groups_Ozero__class_Ozero(_u7920)), hAPP(_u7924, skolem142(_u7924, _u7923, _u7922, _u7921, _u7920)))) )).
% 39.91/40.13 cnf(matrix-3414, plain, ( ~class_Orderings_Oord(_u7925) | ( c_Orderings_Oord__class_Omin(_u7925) = c_Orderings_Oord_Omin(_u7925, c_Orderings_Oord__class_Oless__eq(_u7925))) )).
% 39.91/40.13 cnf(matrix-3415, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u7926, _u7926, _u7927, _u7928, _u7929), _u7930)) | hBOOL(hAPP(hAPP(c_member(_u7926), _u7928), _u7929)) | hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u7926, _u7927, hAPP(hAPP(c_Set_Oinsert(_u7926), _u7928), _u7929)), _u7930)) )).
% 39.91/40.13 cnf(matrix-3416, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ovname), c_Com_Ovname_OGlb(_u7931)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.13 cnf(matrix-3417, plain, ( ~class_Orderings_Olinorder(_u7934) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7934), _u7935)) | ( _u7935 = c_Orderings_Obot__class_Obot(tc_fun(_u7934, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u7934), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7934), skolem143(_u7935, _u7934)), skolem144(_u7935, _u7934))), hAPP(hAPP(c_Set_Oinsert(_u7934), skolem143(_u7935, _u7934)), hAPP(hAPP(c_Set_Oinsert(_u7934), skolem144(_u7935, _u7934)), c_Orderings_Obot__class_Obot(tc_fun(_u7934, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u7934), c_Big__Operators_Olinorder__class_OMin(_u7934, _u7935)), _u7935)) )).
% 39.91/40.13 cnf(matrix-3418, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u7936, _u7937, c_Orderings_Obot__class_Obot(tc_fun(_u7936, tc_HOL_Obool))), _u7938)) )).
% 39.91/40.13 cnf(matrix-3419, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u7939, _u7940, _u7941), _u7942)) | ( _u7941 != c_Orderings_Obot__class_Obot(tc_fun(_u7939, tc_HOL_Obool))) )).
% 39.91/40.13 cnf(matrix-3420, plain, ( ( _u7951 = _u7953) | ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u7947, _u7949, hAPP(hAPP(c_Set_Oinsert(_u7947), _u7951), c_Orderings_Obot__class_Obot(tc_fun(_u7947, tc_HOL_Obool)))), _u7953)) )).
% 39.91/40.13 cnf(matrix-3421, plain, ( ( _u7952 != _u7954) | hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u7948, _u7950, hAPP(hAPP(c_Set_Oinsert(_u7948), _u7952), c_Orderings_Obot__class_Obot(tc_fun(_u7948, tc_HOL_Obool)))), _u7954)) )).
% 39.91/40.13 cnf(matrix-3422, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ovname), c_Com_Ovname_OLoc(_u7955)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.13 cnf(matrix-3423, 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), _u7956)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Otimes__class_Otimes(tc_Nat_Onat)), _u7957))), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u7958))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7958), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7956), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7956), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7958), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u7957))))) )).
% 39.91/40.13 cnf(matrix-3424, plain, ( ~class_Groups_Ocomm__monoid__add(_u7960) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7961), _u7962)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7961), _u7963)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7961, _u7960), _u7964), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7961, tc_HOL_Obool)), _u7962), _u7963)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7960), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7961, _u7960), _u7964), _u7962)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7961, _u7960), _u7964), _u7963))) | hBOOL(hAPP(hAPP(c_member(_u7961), skolem145(_u7964, _u7963, _u7962, _u7961, _u7960)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7961, tc_HOL_Obool)), _u7962), _u7963))) )).
% 39.91/40.13 cnf(matrix-3425, plain, ( ~class_Groups_Ocomm__monoid__add(_u7960) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7961), _u7962)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7961), _u7963)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7961, _u7960), _u7964), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7961, tc_HOL_Obool)), _u7962), _u7963)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7960), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7961, _u7960), _u7964), _u7962)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7961, _u7960), _u7964), _u7963))) | ( hAPP(_u7964, skolem145(_u7964, _u7963, _u7962, _u7961, _u7960)) != c_Groups_Ozero__class_Ozero(_u7960)) )).
% 39.91/40.13 cnf(matrix-3426, plain, ( ~class_Groups_Ocomm__monoid__add(_u7966) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7967), _u7968)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7967), _u7969)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7967, _u7966), _u7970), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7967, tc_HOL_Obool)), _u7968), _u7969)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7966), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7967, _u7966), _u7970), _u7968)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7967, _u7966), _u7970), _u7969))) | hBOOL(hAPP(hAPP(c_member(_u7967), skolem146(_u7970, _u7969, _u7968, _u7967, _u7966)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7967, tc_HOL_Obool)), _u7968), _u7969))) )).
% 39.91/40.13 cnf(matrix-3427, plain, ( ~class_Groups_Ocomm__monoid__add(_u7966) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7967), _u7968)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7967), _u7969)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7967, _u7966), _u7970), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7967, tc_HOL_Obool)), _u7968), _u7969)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7966), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7967, _u7966), _u7970), _u7968)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7967, _u7966), _u7970), _u7969))) | ( hAPP(_u7970, skolem146(_u7970, _u7969, _u7968, _u7967, _u7966)) != c_Groups_Ozero__class_Ozero(_u7966)) )).
% 39.91/40.13 cnf(matrix-3428, plain, ( ( hAPP(c_Finite__Set_Ocard(_u7978), _u7980) != hAPP(c_Nat_OSuc, _u7982)) | ( _u7980 = hAPP(hAPP(c_Set_Oinsert(_u7978), skolem147(_u7982, _u7980, _u7978)), skolem148(_u7982, _u7980, _u7978))) )).
% 39.91/40.13 cnf(matrix-3429, plain, ( ( hAPP(c_Finite__Set_Ocard(_u7978), _u7980) != hAPP(c_Nat_OSuc, _u7982)) | ~hBOOL(hAPP(hAPP(c_member(_u7978), skolem147(_u7982, _u7980, _u7978)), skolem148(_u7982, _u7980, _u7978))) )).
% 39.91/40.13 cnf(matrix-3430, plain, ( ( hAPP(c_Finite__Set_Ocard(_u7978), _u7980) != hAPP(c_Nat_OSuc, _u7982)) | ( hAPP(c_Finite__Set_Ocard(_u7978), skolem148(_u7982, _u7980, _u7978)) = _u7982) )).
% 39.91/40.13 cnf(matrix-3431, plain, ( ( hAPP(c_Finite__Set_Ocard(_u7978), _u7980) != hAPP(c_Nat_OSuc, _u7982)) | ( _u7982 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( skolem148(_u7982, _u7980, _u7978) = c_Orderings_Obot__class_Obot(tc_fun(_u7978, tc_HOL_Obool))) )).
% 39.91/40.13 cnf(matrix-3432, plain, ( ( hAPP(c_Finite__Set_Ocard(_u7979), _u7981) = hAPP(c_Nat_OSuc, _u7983)) | ( _u7981 != hAPP(hAPP(c_Set_Oinsert(_u7979), _u7974), _u7973)) | hBOOL(hAPP(hAPP(c_member(_u7979), _u7974), _u7973)) | ( hAPP(c_Finite__Set_Ocard(_u7979), _u7973) != _u7983) | ( _u7983 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.13 cnf(matrix-3433, plain, ( ( hAPP(c_Finite__Set_Ocard(_u7979), _u7981) = hAPP(c_Nat_OSuc, _u7983)) | ( _u7981 != hAPP(hAPP(c_Set_Oinsert(_u7979), _u7974), _u7973)) | hBOOL(hAPP(hAPP(c_member(_u7979), _u7974), _u7973)) | ( hAPP(c_Finite__Set_Ocard(_u7979), _u7973) != _u7983) | ( _u7973 != c_Orderings_Obot__class_Obot(tc_fun(_u7979, tc_HOL_Obool))) )).
% 39.91/40.13 cnf(matrix-3434, plain, ( ~class_Groups_Ocomm__monoid__add(_u7985) | ~class_Groups_Oordered__ab__semigroup__add(_u7985) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7986), _u7987)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7986, tc_HOL_Obool)), _u7988), _u7987)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7985), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7986, _u7985), _u7989), _u7988)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7986, _u7985), _u7989), _u7987))) | hBOOL(hAPP(hAPP(c_member(_u7986), skolem149(_u7989, _u7988, _u7987, _u7986, _u7985)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7986, tc_HOL_Obool)), _u7987), _u7988))) )).
% 39.91/40.13 cnf(matrix-3435, plain, ( ~class_Groups_Ocomm__monoid__add(_u7985) | ~class_Groups_Oordered__ab__semigroup__add(_u7985) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7986), _u7987)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7986, tc_HOL_Obool)), _u7988), _u7987)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7985), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7986, _u7985), _u7989), _u7988)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7986, _u7985), _u7989), _u7987))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7985), c_Groups_Ozero__class_Ozero(_u7985)), hAPP(_u7989, skolem149(_u7989, _u7988, _u7987, _u7986, _u7985)))) )).
% 39.91/40.13 cnf(matrix-3436, plain, ( ~class_Groups_Ocomm__monoid__add(_u7992) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7993), _u7994)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7997, _u7992), _u7996), hAPP(c_Set_Oimage(_u7993, _u7997, _u7995), _u7994)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7993, _u7992), hAPP(c_Fun_Ocomp(_u7997, _u7992, _u7993, _u7996), _u7995)), _u7994)) | hBOOL(hAPP(hAPP(c_member(_u7993), skolem150(_u7997, _u7996, _u7995, _u7994, _u7993, _u7992)), _u7994)) )).
% 39.91/40.13 cnf(matrix-3437, plain, ( ~class_Groups_Ocomm__monoid__add(_u7992) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7993), _u7994)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7997, _u7992), _u7996), hAPP(c_Set_Oimage(_u7993, _u7997, _u7995), _u7994)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7993, _u7992), hAPP(c_Fun_Ocomp(_u7997, _u7992, _u7993, _u7996), _u7995)), _u7994)) | hBOOL(hAPP(hAPP(c_member(_u7993), skolem151(_u7997, _u7996, _u7995, _u7994, _u7993, _u7992)), _u7994)) )).
% 39.91/40.13 cnf(matrix-3438, plain, ( ~class_Groups_Ocomm__monoid__add(_u7992) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7993), _u7994)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7997, _u7992), _u7996), hAPP(c_Set_Oimage(_u7993, _u7997, _u7995), _u7994)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7993, _u7992), hAPP(c_Fun_Ocomp(_u7997, _u7992, _u7993, _u7996), _u7995)), _u7994)) | ( skolem150(_u7997, _u7996, _u7995, _u7994, _u7993, _u7992) != skolem151(_u7997, _u7996, _u7995, _u7994, _u7993, _u7992)) )).
% 39.91/40.13 cnf(matrix-3439, plain, ( ~class_Groups_Ocomm__monoid__add(_u7992) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7993), _u7994)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7997, _u7992), _u7996), hAPP(c_Set_Oimage(_u7993, _u7997, _u7995), _u7994)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7993, _u7992), hAPP(c_Fun_Ocomp(_u7997, _u7992, _u7993, _u7996), _u7995)), _u7994)) | ( hAPP(_u7995, skolem150(_u7997, _u7996, _u7995, _u7994, _u7993, _u7992)) = hAPP(_u7995, skolem151(_u7997, _u7996, _u7995, _u7994, _u7993, _u7992))) )).
% 39.91/40.13 cnf(matrix-3440, plain, ( ~class_Groups_Ocomm__monoid__add(_u7992) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7993), _u7994)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7997, _u7992), _u7996), hAPP(c_Set_Oimage(_u7993, _u7997, _u7995), _u7994)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7993, _u7992), hAPP(c_Fun_Ocomp(_u7997, _u7992, _u7993, _u7996), _u7995)), _u7994)) | ( hAPP(_u7996, hAPP(_u7995, skolem150(_u7997, _u7996, _u7995, _u7994, _u7993, _u7992))) != c_Groups_Ozero__class_Ozero(_u7992)) )).
% 39.91/40.13 cnf(matrix-3441, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u7998))) )).
% 39.91/40.13 cnf(matrix-3442, plain, ( ~class_Orderings_Olinorder(_u7999) | ( hAPP(c_SetInterval_Oord__class_OlessThan(_u7999), _u8000) != hAPP(c_SetInterval_Oord__class_OlessThan(_u7999), _u8001)) | ( _u8000 = _u8001) )).
% 39.91/40.13 cnf(matrix-3443, plain, ( ~class_Orderings_Olinorder(_u7999) | ( _u8000 != _u8001) | ( hAPP(c_SetInterval_Oord__class_OlessThan(_u7999), _u8000) = hAPP(c_SetInterval_Oord__class_OlessThan(_u7999), _u8001)) )).
% 39.91/40.13 cnf(matrix-3444, 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))) )).
% 39.91/40.13 cnf(matrix-3445, plain, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8002)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u8002), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u8002))) )).
% 39.91/40.13 cnf(matrix-3446, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u8003)) = _u8003) )).
% 39.91/40.13 cnf(matrix-3447, 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))) )).
% 39.91/40.13 cnf(matrix-3448, plain, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8004)) = 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), _u8004)))) )).
% 39.91/40.13 cnf(matrix-3449, plain, ( ~class_Groups_Ocomm__monoid__add(_u8005) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8005), _u8006), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8007))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8005), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8005), _u8006), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u8007))), hAPP(_u8006, _u8007))) )).
% 39.91/40.13 cnf(matrix-3450, plain, ( ~class_Orderings_Oord(_u8008) | ~hBOOL(hAPP(hAPP(c_member(_u8008), _u8009), hAPP(c_SetInterval_Oord__class_OlessThan(_u8008), _u8010))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8008), _u8009), _u8010)) )).
% 39.91/40.13 cnf(matrix-3451, plain, ( ~class_Orderings_Oord(_u8008) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8008), _u8009), _u8010)) | hBOOL(hAPP(hAPP(c_member(_u8008), _u8009), hAPP(c_SetInterval_Oord__class_OlessThan(_u8008), _u8010))) )).
% 39.91/40.13 cnf(matrix-3452, plain, ( ~class_Orderings_Olinorder(_u8011) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8011, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u8011), _u8012)), hAPP(c_SetInterval_Oord__class_OlessThan(_u8011), _u8013))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8011), _u8012), _u8013)) )).
% 39.91/40.13 cnf(matrix-3453, plain, ( ~class_Orderings_Olinorder(_u8011) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8011), _u8012), _u8013)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8011, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u8011), _u8012)), hAPP(c_SetInterval_Oord__class_OlessThan(_u8011), _u8013))) )).
% 39.91/40.13 cnf(matrix-3454, plain, ( ~class_Orderings_Olinorder(_u8014) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u8014, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u8014), _u8015)), hAPP(c_SetInterval_Oord__class_OlessThan(_u8014), _u8016))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8014), _u8015), _u8016)) )).
% 39.91/40.13 cnf(matrix-3455, plain, ( ~class_Orderings_Olinorder(_u8014) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8014), _u8015), _u8016)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u8014, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u8014), _u8015)), hAPP(c_SetInterval_Oord__class_OlessThan(_u8014), _u8016))) )).
% 39.91/40.13 cnf(matrix-3456, plain, ( ~class_Orderings_Oorder(_u8017) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8017, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u8017), _u8018), c_Orderings_Obot__class_Obot(tc_fun(_u8017, tc_HOL_Obool)))), hAPP(c_SetInterval_Oord__class_OlessThan(_u8017), _u8018)) = hAPP(hAPP(c_Set_Oinsert(_u8017), _u8018), c_Orderings_Obot__class_Obot(tc_fun(_u8017, tc_HOL_Obool)))) )).
% 39.91/40.13 cnf(matrix-3457, plain, ( ~class_Rings_Ocomm__semiring__1(_u8019) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8019), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8019), c_Groups_Oone__class_Oone(_u8019)), c_Groups_Oone__class_Oone(_u8019))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8019), hAPP(hAPP(c_COMBB(_u8019, _u8019, tc_Nat_Onat), hAPP(c_Groups_Oplus__class_Oplus(_u8019), _u8020)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, _u8019, _u8019), hAPP(hAPP(c_COMBB(_u8019, tc_fun(_u8019, _u8019), tc_Nat_Onat), c_Groups_Otimes__class_Otimes(_u8019)), c_Nat_Osemiring__1__class_Oof__nat(_u8019))), _u8021))), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u8022))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8019), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8019), _u8022)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8019), _u8020), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8019), _u8020), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8019), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8019), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8022), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), _u8021))))) )).
% 39.91/40.13 cnf(matrix-3458, plain, ( ( c_Option_Ooption_Ooption__size(_u8023, _u8024, hAPP(c_Option_Ooption_OSome(_u8023), _u8025)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u8024, _u8025)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 39.91/40.13 cnf(matrix-3459, plain, ( ~class_Rings_Olinordered__idom(_u8026) | ~hBOOL(hAPP(hAPP(c_member(_u8026), _u8027), c_Int_Oring__1__class_OInts(_u8026))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8026), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8026), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8026), c_Groups_Oone__class_Oone(_u8026)), _u8027)), _u8027)), c_Groups_Ozero__class_Ozero(_u8026))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8026), _u8027), c_Groups_Ozero__class_Ozero(_u8026))) )).
% 39.91/40.13 cnf(matrix-3460, plain, ( ~class_Rings_Olinordered__idom(_u8026) | ~hBOOL(hAPP(hAPP(c_member(_u8026), _u8027), c_Int_Oring__1__class_OInts(_u8026))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8026), _u8027), c_Groups_Ozero__class_Ozero(_u8026))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8026), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8026), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8026), c_Groups_Oone__class_Oone(_u8026)), _u8027)), _u8027)), c_Groups_Ozero__class_Ozero(_u8026))) )).
% 39.91/40.13 cnf(matrix-3461, plain, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OLocal(_u8028, _u8029, _u8030)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Com_Ocom_Ocom__size(_u8030)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 39.91/40.13 cnf(matrix-3462, plain, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OSemi(_u8031, _u8032)) = 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(_u8031)), c_Com_Ocom_Ocom__size(_u8032))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 39.91/40.13 cnf(matrix-3463, 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, _u8033)))), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8034))) )).
% 39.91/40.13 cnf(matrix-3464, plain, ( ~class_Rings_Oring__1(_u8035) | hBOOL(hAPP(hAPP(c_member(_u8035), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8035), _u8036)), c_Int_Oring__1__class_OInts(_u8035))) )).
% 39.91/40.13 cnf(matrix-3465, plain, ( ~class_Nat_Osemiring__char__0(_u8037) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8037), _u8038) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8037), _u8039)) | ( _u8038 = _u8039) )).
% 39.91/40.13 cnf(matrix-3466, plain, ( ~class_Nat_Osemiring__char__0(_u8037) | ( _u8038 != _u8039) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8037), _u8038) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8037), _u8039)) )).
% 39.91/40.13 cnf(matrix-3467, 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)) )).
% 39.91/40.13 cnf(matrix-3468, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8041) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u8041 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.13 cnf(matrix-3469, plain, ( ( _u8042 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8042) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 39.91/40.13 cnf(matrix-3470, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8045)) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8047)) | ( _u8045 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.13 cnf(matrix-3471, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8045)) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8047)) | ( _u8047 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.13 cnf(matrix-3472, plain, ( ( _u8046 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u8048 != 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), _u8046)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8048)) )).
% 39.91/40.13 cnf(matrix-3473, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8050)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u8050 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.13 cnf(matrix-3474, plain, ( ( _u8051 != 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), _u8051)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.91/40.13 cnf(matrix-3475, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8054)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8056)))) | ( _u8054 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.13 cnf(matrix-3476, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8054)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8056)))) | ( _u8056 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.13 cnf(matrix-3477, plain, ( ( _u8055 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u8057 != 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), _u8055)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8057)))) )).
% 39.91/40.13 cnf(matrix-3478, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, _u8058)) = 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), _u8058))) )).
% 39.91/40.13 cnf(matrix-3479, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8063), _u8065)) | ( _u8065 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8063), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, skolem152(_u8065, _u8063))))) )).
% 39.91/40.13 cnf(matrix-3480, plain, ( ( _u8066 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8064), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, _u8060)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8064), _u8066)) )).
% 39.91/40.13 cnf(matrix-3481, 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, _u8067))))) )).
% 39.91/40.13 cnf(matrix-3482, 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, _u8068)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.91/40.13 cnf(matrix-3483, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8071)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8073))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8071), _u8073)) )).
% 39.91/40.13 cnf(matrix-3484, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8072), _u8074)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8072)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8074))) )).
% 39.91/40.13 cnf(matrix-3485, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8075)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8076)), _u8077)) = 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), _u8075), _u8076))), _u8077)) )).
% 39.91/40.13 cnf(matrix-3486, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8078)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8079)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8078), _u8079))) )).
% 39.91/40.13 cnf(matrix-3487, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8082)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8084))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8082), _u8084)) )).
% 39.91/40.13 cnf(matrix-3488, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8083), _u8085)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8083)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8085))) )).
% 39.91/40.13 cnf(matrix-3489, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8086)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8087)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u8086), _u8087))) )).
% 39.91/40.13 cnf(matrix-3490, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u8088), _u8089)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8088)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8089))) )).
% 39.91/40.13 cnf(matrix-3491, 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)) )).
% 39.91/40.13 cnf(matrix-3492, 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))) )).
% 39.91/40.13 cnf(matrix-3493, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8090, tc_Nat_Onat), _u8091), _u8092)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8090, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u8090), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u8091)), _u8092)) )).
% 39.91/40.13 cnf(matrix-3494, 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)) )).
% 39.91/40.13 cnf(matrix-3495, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8093), _u8094)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8095)) | 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), _u8095)), _u8093)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8095)), _u8094))) )).
% 39.91/40.13 cnf(matrix-3496, 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), _u8097))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8097)) )).
% 39.91/40.13 cnf(matrix-3497, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8098)) | 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), _u8098))) )).
% 39.91/40.13 cnf(matrix-3498, plain, ( ~class_Rings_Olinordered__semidom(_u8099) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8099), c_Groups_Ozero__class_Ozero(_u8099)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8099), _u8100))) )).
% 39.91/40.13 cnf(matrix-3499, plain, ( ~class_Rings_Olinordered__semidom(_u8101) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8101), c_Groups_Ozero__class_Ozero(_u8101)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8101), _u8102))) )).
% 39.91/40.13 cnf(matrix-3500, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8103), _u8104)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8104)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8103)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8104), _u8103))) )).
% 39.91/40.13 cnf(matrix-3501, plain, ( ~class_Rings_Olinordered__semidom(_u8105) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8105), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8105), _u8106)), c_Groups_Ozero__class_Ozero(_u8105))) )).
% 39.91/40.13 cnf(matrix-3502, plain, ( ~class_Rings_Osemiring__1(_u8107) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8107), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(_u8107)) )).
% 39.91/40.13 cnf(matrix-3503, plain, ( ~class_Rings_Olinordered__semidom(_u8108) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8108), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8108), _u8109)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8108), _u8110))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8109), _u8110)) )).
% 39.91/40.13 cnf(matrix-3504, plain, ( ~class_Rings_Olinordered__semidom(_u8108) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8109), _u8110)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8108), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8108), _u8109)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8108), _u8110))) )).
% 39.91/40.13 cnf(matrix-3505, plain, ( ~class_Rings_Olinordered__semidom(_u8111) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8112), _u8113)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8111), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8111), _u8112)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8111), _u8113))) )).
% 39.91/40.13 cnf(matrix-3506, plain, ( ~class_Rings_Olinordered__semidom(_u8114) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8114), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8114), _u8115)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8114), _u8116))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8115), _u8116)) )).
% 39.91/40.13 cnf(matrix-3507, plain, ( ~class_Rings_Olinordered__semidom(_u8117) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8117), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8117), _u8118)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8117), _u8119))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8118), _u8119)) )).
% 39.91/40.13 cnf(matrix-3508, plain, ( ~class_Rings_Olinordered__semidom(_u8117) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8118), _u8119)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8117), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8117), _u8118)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8117), _u8119))) )).
% 39.91/40.13 cnf(matrix-3509, plain, ( ~class_Rings_Osemiring__1(_u8120) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8120), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8121), _u8122)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8120), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8120), _u8121)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8120), _u8122))) )).
% 39.91/40.13 cnf(matrix-3510, plain, ( ~class_Rings_Osemiring__1(_u8123) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8123), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u8124), _u8125)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8123), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8123), _u8124)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8123), _u8125))) )).
% 39.91/40.13 cnf(matrix-3511, plain, ( ~class_Rings_Osemiring__1(_u8126) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8126), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u8126)) )).
% 39.91/40.13 cnf(matrix-3512, plain, ( ~class_Rings_Osemiring__1(_u8127) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8127), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8128, tc_Nat_Onat), _u8129), _u8130)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8128, _u8127), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u8127, _u8128), c_Nat_Osemiring__1__class_Oof__nat(_u8127)), _u8129)), _u8130)) )).
% 39.91/40.13 cnf(matrix-3513, plain, ( ~class_Nat_Osemiring__char__0(_u8131) | c_Fun_Oinj__on(tc_Nat_Onat, _u8131, c_Nat_Osemiring__1__class_Oof__nat(_u8131), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 39.91/40.13 cnf(matrix-3514, plain, ( ~class_Rings_Oring__1(_u8132) | hBOOL(hAPP(hAPP(c_member(_u8132), c_Groups_Ozero__class_Ozero(_u8132)), c_Int_Oring__1__class_OInts(_u8132))) )).
% 39.91/40.13 cnf(matrix-3515, plain, ( ~class_Rings_Oring__1(_u8133) | ~hBOOL(hAPP(hAPP(c_member(_u8133), _u8134), c_Int_Oring__1__class_OInts(_u8133))) | ~hBOOL(hAPP(hAPP(c_member(_u8133), _u8135), c_Int_Oring__1__class_OInts(_u8133))) | hBOOL(hAPP(hAPP(c_member(_u8133), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8133), _u8134), _u8135)), c_Int_Oring__1__class_OInts(_u8133))) )).
% 39.91/40.13 cnf(matrix-3516, plain, ( ~class_Rings_Oring__1(_u8136) | ~hBOOL(hAPP(hAPP(c_member(_u8136), _u8137), c_Int_Oring__1__class_OInts(_u8136))) | ~hBOOL(hAPP(hAPP(c_member(_u8136), _u8138), c_Int_Oring__1__class_OInts(_u8136))) | hBOOL(hAPP(hAPP(c_member(_u8136), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8136), _u8137), _u8138)), c_Int_Oring__1__class_OInts(_u8136))) )).
% 39.91/40.13 cnf(matrix-3517, plain, ( ~class_Rings_Oring__1(_u8139) | ~hBOOL(hAPP(hAPP(c_member(_u8139), _u8140), c_Int_Oring__1__class_OInts(_u8139))) | ~hBOOL(hAPP(hAPP(c_member(_u8139), _u8141), c_Int_Oring__1__class_OInts(_u8139))) | hBOOL(hAPP(hAPP(c_member(_u8139), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8139), _u8140), _u8141)), c_Int_Oring__1__class_OInts(_u8139))) )).
% 39.91/40.13 cnf(matrix-3518, plain, ( ~class_Rings_Oring__1(_u8142) | hBOOL(hAPP(hAPP(c_member(_u8142), c_Groups_Oone__class_Oone(_u8142)), c_Int_Oring__1__class_OInts(_u8142))) )).
% 39.91/40.13 cnf(matrix-3519, plain, ( ~class_Rings_Oring__1(_u8143) | ~hBOOL(hAPP(hAPP(c_member(_u8143), _u8144), c_Int_Oring__1__class_OInts(_u8143))) | hBOOL(hAPP(hAPP(c_member(_u8143), hAPP(c_Groups_Ouminus__class_Ouminus(_u8143), _u8144)), c_Int_Oring__1__class_OInts(_u8143))) )).
% 39.91/40.13 cnf(matrix-3520, plain, ( ~class_Rings_Osemiring__1(_u8145) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8145), hAPP(c_Nat_OSuc, _u8146)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8145), c_Groups_Oone__class_Oone(_u8145)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8145), _u8146))) )).
% 39.91/40.13 cnf(matrix-3521, plain, ( ~class_Rings_Oring__1(_u8147) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8148), _u8149)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8147), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8149), _u8148)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8147), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8147), _u8149)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8147), _u8148))) )).
% 39.91/40.13 cnf(matrix-3522, plain, ( ( c_Option_Ooption_Ooption__size(_u8150, _u8151, c_Option_Ooption_ONone(_u8150)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.13 cnf(matrix-3523, plain, ( ~class_Rings_Osemiring__1(_u8152) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8153, _u8152), hAPP(c_COMBK(_u8152, _u8153), _u8154)), _u8155) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8152), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8152), hAPP(c_Finite__Set_Ocard(_u8153), _u8155))), _u8154)) )).
% 39.91/40.13 cnf(matrix-3524, plain, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OAss(_u8156, _u8157)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.13 cnf(matrix-3525, plain, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OSKIP) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.13 cnf(matrix-3526, plain, ( ~class_Rings_Olinordered__semidom(_u8158) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8158), c_Groups_Ozero__class_Ozero(_u8158)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8158), _u8159))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8159)) )).
% 39.91/40.13 cnf(matrix-3527, plain, ( ~class_Rings_Olinordered__semidom(_u8158) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8159)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8158), c_Groups_Ozero__class_Ozero(_u8158)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8158), _u8159))) )).
% 39.91/40.13 cnf(matrix-3528, plain, ( ~class_Int_Oring__char__0(_u8160) | ~hBOOL(hAPP(hAPP(c_member(_u8160), _u8161), c_Int_Oring__1__class_OInts(_u8160))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8160), _u8161), _u8161) != c_Groups_Ozero__class_Ozero(_u8160)) | ( _u8161 = c_Groups_Ozero__class_Ozero(_u8160)) )).
% 39.91/40.13 cnf(matrix-3529, plain, ( ~class_Int_Oring__char__0(_u8160) | ~hBOOL(hAPP(hAPP(c_member(_u8160), _u8161), c_Int_Oring__1__class_OInts(_u8160))) | ( _u8161 != c_Groups_Ozero__class_Ozero(_u8160)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8160), _u8161), _u8161) = c_Groups_Ozero__class_Ozero(_u8160)) )).
% 39.91/40.13 cnf(matrix-3530, plain, ( ~class_Int_Oring__char__0(_u8162) | ~hBOOL(hAPP(hAPP(c_member(_u8162), _u8163), c_Int_Oring__1__class_OInts(_u8162))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8162), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8162), c_Groups_Oone__class_Oone(_u8162)), _u8163)), _u8163) != c_Groups_Ozero__class_Ozero(_u8162)) )).
% 39.91/40.13 cnf(matrix-3531, plain, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OWhile(_u8164, _u8165)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Com_Ocom_Ocom__size(_u8165)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 39.91/40.13 cnf(matrix-3532, plain, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OCond(_u8166, _u8167, _u8168)) = 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(_u8167)), c_Com_Ocom_Ocom__size(_u8168))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 39.91/40.13 cnf(matrix-3533, plain, ( ~class_Rings_Osemiring__1(_u8169) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8169), _u8170) = c_Nat_Osemiring__1__class_Oof__nat__aux(_u8169, hAPP(hAPP(c_COMBC(_u8169, _u8169, _u8169), c_Groups_Oplus__class_Oplus(_u8169)), c_Groups_Oone__class_Oone(_u8169)), _u8170, c_Groups_Ozero__class_Ozero(_u8169))) )).
% 39.91/40.13 cnf(matrix-3534, plain, ( ~hBOOL(hAPP(_u8174, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8176), _u8178)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8178), _u8176)) | hBOOL(hAPP(_u8174, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8176)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8178)))) )).
% 39.91/40.13 cnf(matrix-3535, plain, ( ~hBOOL(hAPP(_u8174, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8176), _u8178)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8176), _u8178)) | hBOOL(hAPP(_u8174, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.91/40.13 cnf(matrix-3536, plain, ( hBOOL(hAPP(_u8175, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8177), _u8179)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8179), _u8177)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8177), _u8179)) )).
% 39.91/40.13 cnf(matrix-3537, plain, ( hBOOL(hAPP(_u8175, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8177), _u8179)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8179), _u8177)) | ~hBOOL(hAPP(_u8175, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.91/40.13 cnf(matrix-3538, plain, ( hBOOL(hAPP(_u8175, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8177), _u8179)))) | ~hBOOL(hAPP(_u8175, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8177)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8179)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8177), _u8179)) )).
% 39.91/40.13 cnf(matrix-3539, plain, ( hBOOL(hAPP(_u8175, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8177), _u8179)))) | ~hBOOL(hAPP(_u8175, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8177)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8179)))) | ~hBOOL(hAPP(_u8175, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.91/40.13 cnf(matrix-3540, plain, ( ( c_Nat_Onat_Onat__size(hAPP(c_Nat_OSuc, _u8180)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Nat_Onat_Onat__size(_u8180)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 39.91/40.13 cnf(matrix-3541, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u8191, _u8187)), hAPP(_u8191, _u8189))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8185, _u8185)), hAPP(hAPP(c_Product__Type_OPair(_u8185, _u8185), _u8187), _u8189)), hAPP(c_Wellfounded_Omeasure(_u8185), _u8191))) )).
% 39.91/40.13 cnf(matrix-3542, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u8192, _u8188)), hAPP(_u8192, _u8190))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u8186, _u8186)), hAPP(hAPP(c_Product__Type_OPair(_u8186, _u8186), _u8188), _u8190)), hAPP(c_Wellfounded_Omeasure(_u8186), _u8192))) )).
% 39.91/40.13 cnf(matrix-3543, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(_u8193, _u8194)), hAPP(_u8193, _u8195))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8196, _u8196)), hAPP(hAPP(c_Product__Type_OPair(_u8196, _u8196), _u8194), _u8195)), _u8197)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u8196, _u8196)), hAPP(hAPP(c_Product__Type_OPair(_u8196, _u8196), _u8194), _u8195)), c_Wellfounded_Omlex__prod(_u8196, _u8193, _u8197))) )).
% 39.91/40.13 cnf(matrix-3544, 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), _u8198))), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8199))) )).
% 39.91/40.13 cnf(matrix-3545, 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), _u8200))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.91/40.13 cnf(matrix-3546, 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), _u8201))) )).
% 39.91/40.13 cnf(matrix-3547, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8202)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.91/40.13 cnf(matrix-3548, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8205) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8207)) | ( _u8205 = _u8207) )).
% 39.91/40.13 cnf(matrix-3549, plain, ( ( _u8206 != _u8208) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8206) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8208)) )).
% 39.91/40.13 cnf(matrix-3550, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8209)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8210)))) )).
% 39.91/40.13 cnf(matrix-3551, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8215), _u8217)) | ( _u8217 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8215), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem153(_u8217, _u8215)))) )).
% 39.91/40.13 cnf(matrix-3552, plain, ( ( _u8218 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8216), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8212))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8216), _u8218)) )).
% 39.91/40.13 cnf(matrix-3553, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8219), _u8220)), _u8221) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8219), _u8221)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8220), _u8221))) )).
% 39.91/40.13 cnf(matrix-3554, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8222), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8223), _u8224)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8222), _u8223)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8222), _u8224))) )).
% 39.91/40.13 cnf(matrix-3555, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u8225) = _u8225) )).
% 39.91/40.13 cnf(matrix-3556, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8226), c_Groups_Oone__class_Oone(tc_Int_Oint)) = _u8226) )).
% 39.91/40.13 cnf(matrix-3557, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8227)), _u8228) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8227), _u8228))) )).
% 39.91/40.13 cnf(matrix-3558, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8229), _u8230)), _u8231) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8229), _u8231)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8230), _u8231))) )).
% 39.91/40.13 cnf(matrix-3559, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8232), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8233), _u8234)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8232), _u8233)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8232), _u8234))) )).
% 39.91/40.13 cnf(matrix-3560, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8235), _u8236)), _u8237) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8235), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8236), _u8237))) )).
% 39.91/40.13 cnf(matrix-3561, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8238), _u8239) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8239), _u8238)) )).
% 39.91/40.13 cnf(matrix-3562, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8240), _u8241)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8242), _u8243)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8240), _u8242)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8241), _u8243))) )).
% 39.91/40.13 cnf(matrix-3563, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8244), _u8245)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8246), _u8244)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8246), _u8245))) )).
% 39.91/40.13 cnf(matrix-3564, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8247), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8248)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8247), _u8248)) )).
% 39.91/40.13 cnf(matrix-3565, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8249), _u8250) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8249), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8250))) )).
% 39.91/40.13 cnf(matrix-3566, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8251), _u8252)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8251)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8252))) )).
% 39.91/40.13 cnf(matrix-3567, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8253), _u8254)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8253), _u8255)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8254), _u8255))) )).
% 39.91/40.13 cnf(matrix-3568, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8256), _u8257)), _u8258) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8256), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8257), _u8258))) )).
% 39.91/40.13 cnf(matrix-3569, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8259), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8260), _u8261)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8260), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8259), _u8261))) )).
% 39.91/40.13 cnf(matrix-3570, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8262), _u8263) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8263), _u8262)) )).
% 39.91/40.13 cnf(matrix-3571, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8266), _u8268)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8266), _u8268)) )).
% 39.91/40.13 cnf(matrix-3572, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8266), _u8268)) | ( _u8266 != _u8268) )).
% 39.91/40.13 cnf(matrix-3573, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8267), _u8269)) | ( _u8267 = _u8269) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8267), _u8269)) )).
% 39.91/40.13 cnf(matrix-3574, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8270), _u8271)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8271), _u8270)) | ( _u8270 = _u8271) )).
% 39.91/40.13 cnf(matrix-3575, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8272), _u8273)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8273), _u8274)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8272), _u8274)) )).
% 39.91/40.13 cnf(matrix-3576, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8275), _u8276)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8276), _u8275)) )).
% 39.91/40.13 cnf(matrix-3577, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8277), _u8277)) )).
% 39.91/40.13 cnf(matrix-3578, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8278)) = _u8278) )).
% 39.91/40.13 cnf(matrix-3579, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8279), _u8280)) | ( _u8279 = _u8280) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8280), _u8279)) )).
% 39.91/40.13 cnf(matrix-3580, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8283), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8285), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8283), _u8285)) )).
% 39.91/40.13 cnf(matrix-3581, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8284), _u8286)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8284), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8286), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 39.91/40.13 cnf(matrix-3582, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8289), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8291), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8289), _u8291)) | ( _u8289 = _u8291) )).
% 39.91/40.13 cnf(matrix-3583, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8290), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8292), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8290), _u8292)) )).
% 39.91/40.13 cnf(matrix-3584, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8290), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8292), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | ( _u8290 != _u8292) )).
% 39.91/40.13 cnf(matrix-3585, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8293), _u8294)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8293), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u8294)) )).
% 39.91/40.13 cnf(matrix-3586, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8297), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u8299)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8297), _u8299)) )).
% 39.91/40.13 cnf(matrix-3587, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8298), _u8300)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8298), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u8300)) )).
% 39.91/40.13 cnf(matrix-3588, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8303), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8305), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8303), _u8305)) )).
% 39.91/40.13 cnf(matrix-3589, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8304), _u8306)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8304), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8306), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 39.91/40.13 cnf(matrix-3590, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8307)) | 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)), _u8307))) )).
% 39.91/40.13 cnf(matrix-3591, 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)), _u8309)), _u8309)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8309), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.91/40.13 cnf(matrix-3592, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8310), 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)), _u8310)), _u8310)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.91/40.13 cnf(matrix-3593, 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)), _u8311)), _u8311) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 39.91/40.13 cnf(matrix-3594, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 39.91/40.13 cnf(matrix-3595, 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))) )).
% 39.91/40.13 cnf(matrix-3596, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u8313)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8313)) )).
% 39.91/40.13 cnf(matrix-3597, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8314)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u8314)) )).
% 39.91/40.13 cnf(matrix-3598, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8317), _u8319)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8317), _u8319)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.91/40.13 cnf(matrix-3599, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8318), _u8320)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8318), _u8320)) )).
% 39.91/40.13 cnf(matrix-3600, 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)) )).
% 39.91/40.13 cnf(matrix-3601, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8321) = _u8321) )).
% 39.91/40.13 cnf(matrix-3602, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8322), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = _u8322) )).
% 39.91/40.13 cnf(matrix-3603, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8323)), _u8323) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 39.91/40.13 cnf(matrix-3604, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8324), _u8325)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8326)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8326), _u8324)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8326), _u8325))) )).
% 39.91/40.13 cnf(matrix-3605, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8327)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8327), _u8328) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u8327 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 39.91/40.13 cnf(matrix-3606, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8327)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8327), _u8328) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u8328 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 39.91/40.13 cnf(matrix-3607, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8327)) | ( _u8327 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u8328 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8327), _u8328) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 39.91/40.13 cnf(matrix-3608, plain, ( ~class_Rings_Osemiring__1(_u8329) | ( c_Nat_Osemiring__1__class_Oof__nat__aux(_u8329, _u8330, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u8331) = _u8331) )).
% 39.91/40.13 cnf(matrix-3609, plain, ( ~class_Rings_Osemiring__1(_u8332) | ( c_Nat_Osemiring__1__class_Oof__nat__aux(_u8332, _u8333, hAPP(c_Nat_OSuc, _u8334), _u8335) = c_Nat_Osemiring__1__class_Oof__nat__aux(_u8332, _u8333, _u8334, hAPP(_u8333, _u8335))) )).
% 39.91/40.13 cnf(matrix-3610, plain, ( ( c_Nat_Onat_Onat__size(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.13 cnf(matrix-3611, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u8336, _u8337)), hAPP(_u8336, _u8338))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u8339, _u8339)), hAPP(hAPP(c_Product__Type_OPair(_u8339, _u8339), _u8337), _u8338)), c_Wellfounded_Omlex__prod(_u8339, _u8336, _u8340))) )).
% 39.91/40.13 cnf(matrix-3612, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8341)) | ( _u8341 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8342), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8341), _u8343))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8342), _u8341)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u8343)) )).
% 39.91/40.13 cnf(matrix-3613, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8344)) | ( _u8344 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8345), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8344), _u8346))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8345)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8346), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 39.91/40.13 cnf(matrix-3614, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8347), _u8348)), _u8349) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8350), _u8351)), _u8352)) | ~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), _u8350), _u8351)), _u8352)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8349), _u8347)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8352)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8350)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8350), _u8347)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8351), _u8348)) )).
% 39.91/40.13 cnf(matrix-3615, 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), _u8353), _u8354)), _u8355)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8353), _u8356)), _u8357))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8357), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8353), _u8357)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8353), _u8355)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8356), _u8354)) )).
% 39.91/40.13 cnf(matrix-3616, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8358), _u8359)), _u8360) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8361), _u8362)), _u8363)) | ~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), _u8361), _u8362)), _u8363))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8363), _u8361)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8360)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8361)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8361), _u8358)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8359), _u8362)) )).
% 39.91/40.13 cnf(matrix-3617, 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), _u8364), _u8365)), _u8366))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8366), _u8364)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8364)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8365)) )).
% 39.91/40.13 cnf(matrix-3618, 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), _u8367), _u8368)), _u8369)), 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)), _u8369)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8367)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8368), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.91/40.13 cnf(matrix-3619, 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), _u8370), _u8371)), _u8372)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8370), _u8373)), _u8374))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8372)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8372), _u8370)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8374), _u8370)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8371), _u8373)) )).
% 39.91/40.13 cnf(matrix-3620, 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)))), _u8375)) = 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), _u8375), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))))) )).
% 39.91/40.13 cnf(matrix-3621, 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))) )).
% 39.91/40.13 cnf(matrix-3622, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8376)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8377)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u8376), _u8377))) )).
% 39.91/40.13 cnf(matrix-3623, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8378)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8379)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8378), _u8379))) )).
% 39.91/40.13 cnf(matrix-3624, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8382)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8384))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8382), _u8384)) )).
% 39.91/40.13 cnf(matrix-3625, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8383), _u8385)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8383)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8385))) )).
% 39.91/40.13 cnf(matrix-3626, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u8388), _u8390)) | 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)), _u8388)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u8390))) )).
% 39.91/40.13 cnf(matrix-3627, 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)), _u8389)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u8391))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u8389), _u8391)) )).
% 39.91/40.13 cnf(matrix-3628, plain, ( ( _u8394 != _u8396) | ( hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u8394) = hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u8396)) )).
% 39.91/40.13 cnf(matrix-3629, plain, ( ( hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u8395) != hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u8397)) | ( _u8395 = _u8397) )).
% 39.91/40.13 cnf(matrix-3630, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u8400), _u8402)) | 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)), _u8400)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u8402))) )).
% 39.91/40.13 cnf(matrix-3631, 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)), _u8401)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u8403))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u8401), _u8403)) )).
% 39.91/40.13 cnf(matrix-3632, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8406) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8408)) | ( _u8406 = _u8408) )).
% 39.91/40.13 cnf(matrix-3633, plain, ( ( _u8407 != _u8409) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8407) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8409)) )).
% 39.91/40.13 cnf(matrix-3634, 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))) )).
% 39.91/40.13 cnf(matrix-3635, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u8412), _u8414)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8412)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u8414))) )).
% 39.91/40.13 cnf(matrix-3636, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8413)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u8415))) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u8413), _u8415)) )).
% 39.91/40.13 cnf(matrix-3637, 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)))) )).
% 39.91/40.13 cnf(matrix-3638, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), _u8416) = 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)), _u8416))) )).
% 39.91/40.13 cnf(matrix-3639, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u8418)) | 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)), _u8418))) )).
% 39.91/40.13 cnf(matrix-3640, 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)), _u8419))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u8419)) )).
% 39.91/40.13 cnf(matrix-3641, 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))) )).
% 39.91/40.13 cnf(matrix-3642, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8420)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8421)) | 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), _u8420), _u8421))) )).
% 39.91/40.13 cnf(matrix-3643, plain, ( hBOOL(hAPP(_u8427, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8423))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem154(_u8427))) )).
% 39.91/40.13 cnf(matrix-3644, plain, ( hBOOL(hAPP(_u8427, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8423))) | ~hBOOL(hAPP(_u8427, skolem154(_u8427))) )).
% 39.91/40.13 cnf(matrix-3645, plain, ( ~hBOOL(hAPP(_u8428, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem155(_u8428)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8425)) | hBOOL(hAPP(_u8428, _u8425)) )).
% 39.91/40.13 cnf(matrix-3646, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8429)) | ~hBOOL(hAPP(_u8434, _u8429)) | hBOOL(hAPP(_u8434, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem156(_u8434)))) )).
% 39.91/40.13 cnf(matrix-3647, plain, ( ~hBOOL(hAPP(_u8435, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8431))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem157(_u8435))) )).
% 39.91/40.13 cnf(matrix-3648, plain, ( ~hBOOL(hAPP(_u8435, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8431))) | hBOOL(hAPP(_u8435, skolem157(_u8435))) )).
% 39.91/40.13 cnf(matrix-3649, 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), _u8436))) )).
% 39.91/40.13 cnf(matrix-3650, 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))) )).
% 39.91/40.13 cnf(matrix-3651, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8437)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8438)) | 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), _u8437), _u8438))) )).
% 39.91/40.13 cnf(matrix-3652, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8441)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8443))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8441), _u8443)) )).
% 39.91/40.13 cnf(matrix-3653, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8442), _u8444)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8442)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8444))) )).
% 39.91/40.13 cnf(matrix-3654, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8445)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat), _u8445)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 39.91/40.13 cnf(matrix-3655, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8449), _u8451)) | ( c_Smallcheck_Osmall_H(_u8453, _u8449, _u8451) = c_Option_Ooption_ONone(tc_List_Olist(tc_Code__Evaluation_Oterm))) )).
% 39.91/40.13 cnf(matrix-3656, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8450), _u8452)) | ( c_Smallcheck_Osmall_H(_u8454, _u8450, _u8452) = hAPP(c_Option_Ooption_Ooption__case(tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm)), tc_List_Olist(tc_Code__Evaluation_Oterm), c_Smallcheck_Osmall_H(_u8454, _u8450, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8452), c_Groups_Oone__class_Oone(tc_Int_Oint))), c_Option_Ooption_OSome(tc_List_Olist(tc_Code__Evaluation_Oterm))), hAPP(_u8454, _u8452))) )).
% 39.91/40.13 cnf(matrix-3657, plain, ( ~class_Groups_Oordered__ab__semigroup__add(_u8456) | ~class_Rings_Osemiring__1(_u8456) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8456), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8457, _u8456), _u8459), _u8458)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8456), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8456), hAPP(c_Finite__Set_Ocard(_u8457), _u8458))), _u8460))) | hBOOL(hAPP(hAPP(c_member(_u8457), skolem158(_u8460, _u8459, _u8458, _u8457, _u8456)), _u8458)) )).
% 39.91/40.13 cnf(matrix-3658, plain, ( ~class_Groups_Oordered__ab__semigroup__add(_u8456) | ~class_Rings_Osemiring__1(_u8456) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8456), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8457, _u8456), _u8459), _u8458)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8456), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8456), hAPP(c_Finite__Set_Ocard(_u8457), _u8458))), _u8460))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8456), hAPP(_u8459, skolem158(_u8460, _u8459, _u8458, _u8457, _u8456))), _u8460)) )).
% 39.91/40.13 cnf(matrix-3659, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8463), _u8465)) | ( c_Nat__Transfer_Otsub(_u8465, _u8463) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8465), _u8463)) )).
% 39.91/40.13 cnf(matrix-3660, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8464), _u8466)) | ( c_Nat__Transfer_Otsub(_u8466, _u8464) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 39.91/40.13 cnf(matrix-3661, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Option_Ooption(_u8467)), hAPP(c_Option_Ooption_OSome(_u8467), _u8468)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.13 cnf(matrix-3662, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_Orderings_Otop__class_Otop(tc_fun(tc_Int_Oint, tc_HOL_Obool)))) )).
% 39.91/40.13 cnf(matrix-3663, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat), _u8469) = _u8469) )).
% 39.91/40.13 cnf(matrix-3664, 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)) )).
% 39.91/40.13 cnf(matrix-3665, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8470)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8471)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Nat__Transfer_Otsub(_u8470, _u8471))) )).
% 39.91/40.13 cnf(matrix-3666, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8472), _u8473)) | ( c_Nat__Transfer_Otsub(_u8473, _u8472) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8473), _u8472)) )).
% 39.91/40.13 cnf(matrix-3667, plain, ( ( c_Nat__Transfer_Otsub(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8474), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8475)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8474), _u8475))) )).
% 39.91/40.13 cnf(matrix-3668, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Option_Ooption(_u8476)), c_Option_Ooption_ONone(_u8476)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.13 cnf(matrix-3669, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_fun(tc_Int_Oint, tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))), tc_prod(tc_Int_Oint, tc_Int_Oint)), c_Smallcheck_Osmall_H__rel), hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_Int_Oint, tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))), tc_prod(tc_Int_Oint, tc_Int_Oint)), _u8477), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8478), _u8479)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8478), _u8479)) | ( c_Smallcheck_Osmall_H(_u8477, _u8478, _u8479) = c_Option_Ooption_ONone(tc_List_Olist(tc_Code__Evaluation_Oterm))) )).
% 39.91/40.13 cnf(matrix-3670, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_fun(tc_Int_Oint, tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))), tc_prod(tc_Int_Oint, tc_Int_Oint)), c_Smallcheck_Osmall_H__rel), hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_Int_Oint, tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))), tc_prod(tc_Int_Oint, tc_Int_Oint)), _u8477), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8478), _u8479)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8478), _u8479)) | ( c_Smallcheck_Osmall_H(_u8477, _u8478, _u8479) = hAPP(c_Option_Ooption_Ooption__case(tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm)), tc_List_Olist(tc_Code__Evaluation_Oterm), c_Smallcheck_Osmall_H(_u8477, _u8478, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8479), c_Groups_Oone__class_Oone(tc_Int_Oint))), c_Option_Ooption_OSome(tc_List_Olist(tc_Code__Evaluation_Oterm))), hAPP(_u8477, _u8479))) )).
% 39.91/40.13 cnf(matrix-3671, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8483), _u8485)) | ( 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)), _u8483)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8487), _u8485)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8487), _u8483)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8485), _u8483))) )).
% 39.91/40.13 cnf(matrix-3672, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8484), _u8486)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8488), _u8486)) | ( 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)), _u8484)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8488), _u8486)) = 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)))) )).
% 39.91/40.13 cnf(matrix-3673, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8484), _u8486)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8488), _u8486)) | ( 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)), _u8484)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8488), _u8486)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 39.91/40.13 cnf(matrix-3674, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u8497, _u8499), tc_prod(_u8497, _u8499))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u8497, _u8499), tc_prod(_u8497, _u8499)), hAPP(hAPP(c_Product__Type_OPair(_u8497, _u8499), _u8501), _u8503)), hAPP(hAPP(c_Product__Type_OPair(_u8497, _u8499), _u8505), _u8507))), c_Wellfounded_Olex__prod(_u8497, _u8499, _u8509, _u8511))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u8497, _u8497)), hAPP(hAPP(c_Product__Type_OPair(_u8497, _u8497), _u8501), _u8505)), _u8509)) | ( _u8501 = _u8505) )).
% 39.91/40.13 cnf(matrix-3675, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u8497, _u8499), tc_prod(_u8497, _u8499))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u8497, _u8499), tc_prod(_u8497, _u8499)), hAPP(hAPP(c_Product__Type_OPair(_u8497, _u8499), _u8501), _u8503)), hAPP(hAPP(c_Product__Type_OPair(_u8497, _u8499), _u8505), _u8507))), c_Wellfounded_Olex__prod(_u8497, _u8499, _u8509, _u8511))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u8497, _u8497)), hAPP(hAPP(c_Product__Type_OPair(_u8497, _u8497), _u8501), _u8505)), _u8509)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u8499, _u8499)), hAPP(hAPP(c_Product__Type_OPair(_u8499, _u8499), _u8503), _u8507)), _u8511)) )).
% 39.91/40.13 cnf(matrix-3676, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u8498, _u8500), tc_prod(_u8498, _u8500))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u8498, _u8500), tc_prod(_u8498, _u8500)), hAPP(hAPP(c_Product__Type_OPair(_u8498, _u8500), _u8502), _u8504)), hAPP(hAPP(c_Product__Type_OPair(_u8498, _u8500), _u8506), _u8508))), c_Wellfounded_Olex__prod(_u8498, _u8500, _u8510, _u8512))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8498, _u8498)), hAPP(hAPP(c_Product__Type_OPair(_u8498, _u8498), _u8502), _u8506)), _u8510)) )).
% 39.91/40.13 cnf(matrix-3677, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u8498, _u8500), tc_prod(_u8498, _u8500))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u8498, _u8500), tc_prod(_u8498, _u8500)), hAPP(hAPP(c_Product__Type_OPair(_u8498, _u8500), _u8502), _u8504)), hAPP(hAPP(c_Product__Type_OPair(_u8498, _u8500), _u8506), _u8508))), c_Wellfounded_Olex__prod(_u8498, _u8500, _u8510, _u8512))) | ( _u8502 != _u8506) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8500, _u8500)), hAPP(hAPP(c_Product__Type_OPair(_u8500, _u8500), _u8504), _u8508)), _u8512)) )).
% 39.91/40.13 cnf(matrix-3678, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8513), _u8514)) | ( hAPP(c_Finite__Set_Ocard(tc_fun(_u8513, tc_HOL_Obool)), hAPP(c_Set_OPow(_u8513), _u8514)) = 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(_u8513), _u8514))) )).
% 39.91/40.13 cnf(matrix-3679, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8519), _u8521)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8523), _u8525)) | ( hAPP(c_Finite__Set_Ocard(tc_sum(_u8519, _u8523)), c_Sum__Type_OPlus(_u8519, _u8523, _u8521, _u8525)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u8519), _u8521)), hAPP(c_Finite__Set_Ocard(_u8523), _u8525))) )).
% 39.91/40.13 cnf(matrix-3680, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_sum(_u8520, _u8524)), c_Sum__Type_OPlus(_u8520, _u8524, _u8522, _u8526)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8520), _u8522)) )).
% 39.91/40.13 cnf(matrix-3681, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_sum(_u8520, _u8524)), c_Sum__Type_OPlus(_u8520, _u8524, _u8522, _u8526)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8524), _u8526)) )).
% 39.91/40.13 cnf(matrix-3682, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8527), _u8528))) )).
% 39.91/40.13 cnf(matrix-3683, plain, ( ~class_Rings_Ocomm__semiring__1(_u8529) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8529), hAPP(hAPP(c_Power_Opower__class_Opower(_u8529), _u8530), _u8531)), _u8532) = hAPP(hAPP(c_Power_Opower__class_Opower(_u8529), _u8530), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u8531), _u8532))) )).
% 39.91/40.13 cnf(matrix-3684, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u8533, _u8534), _u8535)) | ~hBOOL(hAPP(hAPP(_u8534, _u8536), _u8535)) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u8533, _u8534), _u8536)) )).
% 39.91/40.13 cnf(matrix-3685, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u8542, _u8544), _u8546)) | ~hBOOL(hAPP(hAPP(_u8544, _u8537), _u8546)) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u8542, _u8544), _u8537)) )).
% 39.91/40.13 cnf(matrix-3686, plain, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u8543, _u8545), _u8547)) | hBOOL(hAPP(hAPP(_u8545, skolem159(_u8547, _u8545, _u8543)), _u8547)) )).
% 39.91/40.13 cnf(matrix-3687, plain, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u8543, _u8545), _u8547)) | ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u8543, _u8545), skolem159(_u8547, _u8545, _u8543))) )).
% 39.91/40.13 cnf(matrix-3688, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u8553, _u8555), _u8557)) | ~hBOOL(hAPP(hAPP(_u8555, _u8548), _u8557)) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u8553, _u8555), _u8548)) )).
% 39.91/40.13 cnf(matrix-3689, plain, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u8554, _u8556), _u8558)) | hBOOL(hAPP(hAPP(_u8556, skolem160(_u8558, _u8556, _u8554)), _u8558)) )).
% 39.91/40.13 cnf(matrix-3690, plain, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u8554, _u8556), _u8558)) | ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u8554, _u8556), skolem160(_u8558, _u8556, _u8554))) )).
% 39.91/40.13 cnf(matrix-3691, plain, ( ~class_Rings_Ocomm__semiring__1(_u8559) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8559), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8559), _u8560), _u8561)), _u8562) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8559), hAPP(hAPP(c_Power_Opower__class_Opower(_u8559), _u8560), _u8562)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8559), _u8561), _u8562))) )).
% 39.91/40.13 cnf(matrix-3692, plain, ( ~class_Rings_Ocomm__semiring__1(_u8563) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8563), _u8564), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u8564) )).
% 39.91/40.13 cnf(matrix-3693, plain, ( ~class_Orderings_Olinorder(_u8565) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8565), _u8566), _u8567)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8565), _u8568), _u8569)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8565, _u8566), _u8567) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8565, _u8568), _u8569)) | ( _u8566 = _u8568) )).
% 39.91/40.13 cnf(matrix-3694, plain, ( ~class_Orderings_Olinorder(_u8565) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8565), _u8566), _u8567)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8565), _u8568), _u8569)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8565, _u8566), _u8567) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8565, _u8568), _u8569)) | ( _u8567 = _u8569) )).
% 39.91/40.13 cnf(matrix-3695, plain, ( ~class_Orderings_Olinorder(_u8565) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8565), _u8566), _u8567)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8565), _u8568), _u8569)) | ( _u8566 != _u8568) | ( _u8567 != _u8569) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8565, _u8566), _u8567) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8565, _u8568), _u8569)) )).
% 39.91/40.13 cnf(matrix-3696, plain, ( ~class_Orderings_Olinorder(_u8570) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8570, _u8571), _u8572) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8570, _u8573), _u8574)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8570), _u8571), _u8572)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8570), _u8573), _u8574)) | ( _u8571 = _u8573) )).
% 39.91/40.13 cnf(matrix-3697, plain, ( ~class_Orderings_Olinorder(_u8575) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8575, _u8576), _u8577) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8575, _u8578), _u8579)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8575), _u8576), _u8577)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8575), _u8578), _u8579)) | ( _u8577 = _u8579) )).
% 39.91/40.13 cnf(matrix-3698, plain, ( ~class_Rings_Ocomm__semiring__1(_u8580) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8580), hAPP(hAPP(c_Power_Opower__class_Opower(_u8580), _u8581), _u8582)), _u8581) = hAPP(hAPP(c_Power_Opower__class_Opower(_u8580), _u8581), hAPP(c_Nat_OSuc, _u8582))) )).
% 39.91/40.13 cnf(matrix-3699, plain, ( ~class_Rings_Ocomm__semiring__1(_u8583) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8583), _u8584), hAPP(hAPP(c_Power_Opower__class_Opower(_u8583), _u8584), _u8585)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u8583), _u8584), hAPP(c_Nat_OSuc, _u8585))) )).
% 39.91/40.13 cnf(matrix-3700, plain, ( ~class_Rings_Ocomm__semiring__1(_u8586) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8586), _u8587), hAPP(c_Nat_OSuc, _u8588)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8586), _u8587), hAPP(hAPP(c_Power_Opower__class_Opower(_u8586), _u8587), _u8588))) )).
% 39.91/40.13 cnf(matrix-3701, plain, ( ~class_Rings_Ocomm__semiring__1(_u8589) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8589), _u8590), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u8589)) )).
% 39.91/40.13 cnf(matrix-3702, plain, ( ~class_Rings_Ocomm__semiring__1(_u8591) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8591), hAPP(hAPP(c_Power_Opower__class_Opower(_u8591), _u8592), _u8593)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8591), _u8592), _u8594)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u8591), _u8592), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8593), _u8594))) )).
% 39.91/40.13 cnf(matrix-3703, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8595), _u8596)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8595), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8596), _u8597)) = 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, _u8595), _u8596)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8596), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8596), _u8597)))) )).
% 39.91/40.13 cnf(matrix-3704, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8598), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 39.91/40.13 cnf(matrix-3705, plain, ( ~class_Rings_Oring__1(_u8599) | ~hBOOL(hAPP(hAPP(c_member(_u8599), _u8600), c_Int_Oring__1__class_OInts(_u8599))) | hBOOL(hAPP(hAPP(c_member(_u8599), hAPP(hAPP(c_Power_Opower__class_Opower(_u8599), _u8600), _u8601)), c_Int_Oring__1__class_OInts(_u8599))) )).
% 39.91/40.13 cnf(matrix-3706, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8602) = hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u8602)) )).
% 39.91/40.13 cnf(matrix-3707, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8603), _u8604)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8604), _u8603)) )).
% 39.91/40.13 cnf(matrix-3708, plain, ( ( hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Nat_Onat, c_Nat_OSuc), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8605), _u8606)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u8605)), hAPP(c_Nat_OSuc, _u8606))) )).
% 39.91/40.13 cnf(matrix-3709, plain, ( ~class_Orderings_Oorder(_u8607) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8607), _u8608), _u8609)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8607, _u8609), _u8608) = c_Orderings_Obot__class_Obot(tc_fun(_u8607, tc_HOL_Obool))) )).
% 39.91/40.13 cnf(matrix-3710, plain, ( ~class_Orderings_Oorder(_u8610) | ( c_Orderings_Obot__class_Obot(tc_fun(_u8610, tc_HOL_Obool)) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8610, _u8611), _u8612)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8610), _u8611), _u8612)) )).
% 39.91/40.13 cnf(matrix-3711, plain, ( ~class_Orderings_Oorder(_u8610) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8610), _u8611), _u8612)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u8610, tc_HOL_Obool)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8610, _u8611), _u8612)) )).
% 39.91/40.13 cnf(matrix-3712, plain, ( ~class_Orderings_Oorder(_u8613) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8613, _u8614), _u8615) != c_Orderings_Obot__class_Obot(tc_fun(_u8613, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8613), _u8614), _u8615)) )).
% 39.91/40.13 cnf(matrix-3713, plain, ( ~class_Orderings_Oorder(_u8613) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8613), _u8614), _u8615)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8613, _u8614), _u8615) = c_Orderings_Obot__class_Obot(tc_fun(_u8613, tc_HOL_Obool))) )).
% 39.91/40.13 cnf(matrix-3714, plain, ( ~class_Orderings_Olinorder(_u8616) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8616, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8616, _u8617), _u8618)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8616, _u8619), _u8620))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8616), _u8618), _u8617)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8616), _u8619), _u8617)) )).
% 39.91/40.13 cnf(matrix-3715, plain, ( ~class_Orderings_Olinorder(_u8616) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8616, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8616, _u8617), _u8618)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8616, _u8619), _u8620))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8616), _u8618), _u8617)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8616), _u8618), _u8620)) )).
% 39.91/40.13 cnf(matrix-3716, plain, ( ~class_Groups_Ocomm__monoid__add(_u8621) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8621), _u8622), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u8623)), hAPP(c_Nat_OSuc, _u8624))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8621), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u8621, tc_Nat_Onat), _u8622), c_Nat_OSuc)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8623), _u8624))) )).
% 39.91/40.13 cnf(matrix-3717, plain, ( ~class_Orderings_Olinorder(_u8625) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8625), _u8626), _u8627)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8625), _u8627), _u8628)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8625, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8625, _u8626), _u8627)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8625, _u8627), _u8628)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8625, _u8626), _u8628)) )).
% 39.91/40.13 cnf(matrix-3718, plain, ( ~class_Groups_Ocomm__monoid__add(_u8629) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8629), _u8630), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8631), _u8632)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8633), _u8632))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8629), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u8629, tc_Nat_Onat), _u8630), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u8632))), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8631), _u8633))) )).
% 39.91/40.13 cnf(matrix-3719, plain, ( ~class_Orderings_Olinorder(_u8634) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8634), _u8635), _u8636)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8634, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8634, _u8635), _u8637)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8634, _u8635), _u8636)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8634, _u8636), _u8637)) )).
% 39.91/40.13 cnf(matrix-3720, plain, ( ~class_Orderings_Oorder(_u8638) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8638, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8638, _u8639), _u8640)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8638, _u8640), _u8641)) = c_Orderings_Obot__class_Obot(tc_fun(_u8638, tc_HOL_Obool))) )).
% 39.91/40.13 cnf(matrix-3721, 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)), _u8642)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8643), _u8644)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8643), _u8642)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8644), _u8642))) )).
% 39.91/40.13 cnf(matrix-3722, plain, ( ~class_Groups_Ocomm__monoid__add(_u8645) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8646), _u8647)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8647), _u8648)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8645), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8645), _u8649), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8646), _u8647))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8645), _u8649), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8647), _u8648))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8645), _u8649), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8646), _u8648))) )).
% 39.91/40.13 cnf(matrix-3723, plain, ( ~class_Groups_Oab__group__add(_u8650) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8651), _u8652)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8652), _u8653)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8650), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8650), _u8654), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8651), _u8653))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8650), _u8654), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8651), _u8652))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8650), _u8654), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8652), _u8653))) )).
% 39.91/40.13 cnf(matrix-3724, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8655, tc_fun(_u8655, tc_HOL_Obool))), _u8656), _u8657)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8655, tc_HOL_Obool)), c_Wellfounded_Oaccp(_u8655, _u8657)), c_Wellfounded_Oaccp(_u8655, _u8656))) )).
% 39.91/40.13 cnf(matrix-3725, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8658), hAPP(c_Nat_OSuc, _u8658)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u8658), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 39.91/40.13 cnf(matrix-3726, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8659, 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(_u8659, tc_HOL_Obool)), tc_fun(_u8659, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, tc_fun(_u8659, tc_HOL_Obool)), tc_fun(_u8659, tc_HOL_Obool)), tc_Nat_Onat), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8659, tc_HOL_Obool))), c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), _u8660)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8659, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u8660)) )).
% 39.91/40.13 cnf(matrix-3727, plain, ( ~class_Orderings_Olinorder(_u8661) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8661), _u8662), _u8663)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8661, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u8661), _u8662)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8661, _u8662), _u8663)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u8661), _u8663)) )).
% 39.91/40.13 cnf(matrix-3728, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u8664), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8665), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8665), hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), _u8664))))) | ( _u8664 = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8665), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8665), hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), _u8664)))) )).
% 39.91/40.13 cnf(matrix-3729, plain, ( ~class_Orderings_Oorder(_u8666) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8666, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u8666), _u8667)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8666, _u8667), _u8668)) = c_Orderings_Obot__class_Obot(tc_fun(_u8666, tc_HOL_Obool))) )).
% 39.91/40.13 cnf(matrix-3730, plain, ( ~class_Groups_Ocomm__monoid__add(_u8669) | ( hAPP(_u8670, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != c_Groups_Ozero__class_Ozero(_u8669)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8669), _u8670), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u8671)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8669), _u8670), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8671))) )).
% 39.91/40.13 cnf(matrix-3731, plain, ( ~class_Groups_Ocomm__monoid__add(_u8672) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8673), _u8674)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8672), _u8675), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8673), _u8674)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8672), hAPP(_u8675, _u8673)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8672), _u8675), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u8673)), _u8674)))) )).
% 39.91/40.13 cnf(matrix-3732, plain, ( ( _u8678 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u8680), _u8678) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 39.91/40.13 cnf(matrix-3733, plain, ( ( _u8679 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u8681), _u8679) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u8681), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u8681), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8679), c_Groups_Oone__class_Oone(tc_Nat_Onat))))) )).
% 39.91/40.13 cnf(matrix-3734, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8684), _u8686)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8684), hAPP(c_Nat_OSuc, _u8686)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u8686), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8684), _u8686))) )).
% 39.91/40.13 cnf(matrix-3735, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8685), _u8687)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8685), hAPP(c_Nat_OSuc, _u8687)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 39.91/40.13 cnf(matrix-3736, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u8689), _u8691)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u8688, _u8689)), c_Sum__Type_OPlus(_u8688, _u8689, _u8690, _u8691))) )).
% 39.91/40.13 cnf(matrix-3737, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u8692, _u8693)), c_Sum__Type_OPlus(_u8692, _u8693, _u8694, _u8695))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8692), _u8694)) )).
% 39.91/40.13 cnf(matrix-3738, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8696), _u8697)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8698), _u8699)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u8696, _u8698)), c_Sum__Type_OPlus(_u8696, _u8698, _u8697, _u8699))) )).
% 39.91/40.13 cnf(matrix-3739, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u8704, _u8706)), c_Sum__Type_OPlus(_u8704, _u8706, _u8708, _u8710))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8704), _u8708)) )).
% 39.91/40.13 cnf(matrix-3740, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u8704, _u8706)), c_Sum__Type_OPlus(_u8704, _u8706, _u8708, _u8710))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8706), _u8710)) )).
% 39.91/40.13 cnf(matrix-3741, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8705), _u8709)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8707), _u8711)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u8705, _u8707)), c_Sum__Type_OPlus(_u8705, _u8707, _u8709, _u8711))) )).
% 39.91/40.13 cnf(matrix-3742, plain, ( ~class_Groups_Ocomm__monoid__add(_u8712) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8713), _u8714)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8712), _u8715), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8714), hAPP(c_Nat_OSuc, _u8713))) = c_Groups_Ozero__class_Ozero(_u8712)) )).
% 39.91/40.13 cnf(matrix-3743, plain, ( ~class_Groups_Ocomm__monoid__add(_u8712) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8713), _u8714)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8712), _u8715), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8714), hAPP(c_Nat_OSuc, _u8713))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8712), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8712), _u8715), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u8714), _u8713))), hAPP(_u8715, _u8713))) )).
% 39.91/40.13 cnf(matrix-3744, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8716), _u8717)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8718), _u8719)) | ( hAPP(c_Finite__Set_Ocard(tc_sum(_u8716, _u8718)), c_Sum__Type_OPlus(_u8716, _u8718, _u8717, _u8719)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u8716), _u8717)), hAPP(c_Finite__Set_Ocard(_u8718), _u8719))) )).
% 39.91/40.13 cnf(matrix-3745, plain, ( ~class_Rings_Olinordered__semidom(_u8720) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8720), _u8721), _u8722)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8720), c_Groups_Ozero__class_Ozero(_u8720)), _u8721)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8723)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8720), hAPP(hAPP(c_Power_Opower__class_Opower(_u8720), _u8721), _u8723)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8720), _u8722), _u8723))) )).
% 39.91/40.13 cnf(matrix-3746, plain, ( ~class_Rings_Olinordered__semidom(_u8724) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8724), c_Groups_Oone__class_Oone(_u8724)), _u8725)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8726)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8724), c_Groups_Oone__class_Oone(_u8724)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8724), _u8725), _u8726))) )).
% 39.91/40.13 cnf(matrix-3747, plain, ( ~class_Rings_Olinordered__semidom(_u8727) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8727), c_Groups_Oone__class_Oone(_u8727)), _u8728)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8727), hAPP(hAPP(c_Power_Opower__class_Opower(_u8727), _u8728), _u8729)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8727), _u8728), _u8730))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8729), _u8730)) )).
% 39.91/40.13 cnf(matrix-3748, plain, ( ~class_Rings_Olinordered__semidom(_u8727) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8727), c_Groups_Oone__class_Oone(_u8727)), _u8728)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8729), _u8730)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8727), hAPP(hAPP(c_Power_Opower__class_Opower(_u8727), _u8728), _u8729)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8727), _u8728), _u8730))) )).
% 39.91/40.13 cnf(matrix-3749, plain, ( ~class_Rings_Olinordered__semidom(_u8731) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8731), c_Groups_Oone__class_Oone(_u8731)), _u8732)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8731), hAPP(hAPP(c_Power_Opower__class_Opower(_u8731), _u8732), _u8733)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8731), _u8732), _u8734))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8733), _u8734)) )).
% 39.91/40.13 cnf(matrix-3750, plain, ( ~class_Rings_Olinordered__semidom(_u8735) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8736), _u8737)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8735), c_Groups_Ozero__class_Ozero(_u8735)), _u8738)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8735), _u8738), c_Groups_Oone__class_Oone(_u8735))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8735), hAPP(hAPP(c_Power_Opower__class_Opower(_u8735), _u8738), _u8737)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8735), _u8738), _u8736))) )).
% 39.91/40.13 cnf(matrix-3751, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u8739), _u8740))) )).
% 39.91/40.13 cnf(matrix-3752, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u8741), _u8742)), _u8743) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u8741), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u8742), _u8743))) )).
% 39.91/40.13 cnf(matrix-3753, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8744)) | 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), _u8744), _u8745))) )).
% 39.91/40.13 cnf(matrix-3754, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u8746), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8747), _u8748)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u8746), _u8747)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u8746), _u8748))) )).
% 39.91/40.13 cnf(matrix-3755, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8749)), _u8750) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u8749), _u8750))) )).
% 39.91/40.13 cnf(matrix-3756, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u8751), _u8752)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8751)), _u8752)) )).
% 39.91/40.13 cnf(matrix-3757, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8753)), _u8754) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u8753), _u8754))) )).
% 39.91/40.13 cnf(matrix-3758, 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)), _u8755))) )).
% 39.91/40.13 cnf(matrix-3759, 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)), _u8756)), 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), _u8757), _u8756))) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u8756), _u8757)) )).
% 39.91/40.13 cnf(matrix-3760, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u8758) | ( _u8759 = c_Groups_Ozero__class_Ozero(_u8758)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8758), _u8759), _u8760) != c_Groups_Ozero__class_Ozero(_u8758)) )).
% 39.91/40.13 cnf(matrix-3761, plain, ( ~class_Groups_Omonoid__mult(_u8761) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8761), hAPP(hAPP(c_Power_Opower__class_Opower(_u8761), _u8762), _u8763)), _u8762) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8761), _u8762), hAPP(hAPP(c_Power_Opower__class_Opower(_u8761), _u8762), _u8763))) )).
% 39.91/40.13 cnf(matrix-3762, plain, ( ~class_Groups_Ocomm__monoid__mult(_u8764) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8764), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8764), _u8765), _u8766)), _u8767) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8764), hAPP(hAPP(c_Power_Opower__class_Opower(_u8764), _u8765), _u8767)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8764), _u8766), _u8767))) )).
% 39.91/40.13 cnf(matrix-3763, plain, ( ~class_Groups_Omonoid__mult(_u8768) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8768), c_Groups_Oone__class_Oone(_u8768)), _u8769) = c_Groups_Oone__class_Oone(_u8768)) )).
% 39.91/40.13 cnf(matrix-3764, plain, ( ~class_Groups_Omonoid__mult(_u8770) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8770), _u8771), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u8772), _u8773)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u8770), hAPP(hAPP(c_Power_Opower__class_Opower(_u8770), _u8771), _u8772)), _u8773)) )).
% 39.91/40.13 cnf(matrix-3765, plain, ( ~class_Groups_Omonoid__mult(_u8774) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8774), _u8775), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u8775) )).
% 39.91/40.13 cnf(matrix-3766, plain, ( ~class_Rings_Olinordered__semidom(_u8776) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8776), _u8777), _u8778)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8776), c_Groups_Ozero__class_Ozero(_u8776)), _u8777)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8776), hAPP(hAPP(c_Power_Opower__class_Opower(_u8776), _u8777), _u8779)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8776), _u8778), _u8779))) )).
% 39.91/40.13 cnf(matrix-3767, plain, ( ~class_Rings_Olinordered__semidom(_u8780) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8780), c_Groups_Ozero__class_Ozero(_u8780)), _u8781)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8780), c_Groups_Ozero__class_Ozero(_u8780)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8780), _u8781), _u8782))) )).
% 39.91/40.13 cnf(matrix-3768, plain, ( ~class_Rings_Olinordered__semidom(_u8783) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8783), c_Groups_Ozero__class_Ozero(_u8783)), _u8784)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8783), c_Groups_Ozero__class_Ozero(_u8783)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8783), _u8784), _u8785))) )).
% 39.91/40.13 cnf(matrix-3769, plain, ( ~class_Power_Opower(_u8786) | ~class_Rings_Omult__zero(_u8786) | ~class_Rings_Ono__zero__divisors(_u8786) | ~class_Rings_Ozero__neq__one(_u8786) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8786), _u8787), _u8788) != c_Groups_Ozero__class_Ozero(_u8786)) | ( _u8787 = c_Groups_Ozero__class_Ozero(_u8786)) )).
% 39.91/40.13 cnf(matrix-3770, plain, ( ~class_Power_Opower(_u8786) | ~class_Rings_Omult__zero(_u8786) | ~class_Rings_Ono__zero__divisors(_u8786) | ~class_Rings_Ozero__neq__one(_u8786) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8786), _u8787), _u8788) != c_Groups_Ozero__class_Ozero(_u8786)) | ( _u8788 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.13 cnf(matrix-3771, plain, ( ~class_Power_Opower(_u8786) | ~class_Rings_Omult__zero(_u8786) | ~class_Rings_Ono__zero__divisors(_u8786) | ~class_Rings_Ozero__neq__one(_u8786) | ( _u8787 != c_Groups_Ozero__class_Ozero(_u8786)) | ( _u8788 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8786), _u8787), _u8788) = c_Groups_Ozero__class_Ozero(_u8786)) )).
% 39.91/40.13 cnf(matrix-3772, plain, ( ~class_Rings_Olinordered__semidom(_u8789) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8789), c_Groups_Oone__class_Oone(_u8789)), _u8790)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8789), c_Groups_Oone__class_Oone(_u8789)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8789), _u8790), _u8791))) )).
% 39.91/40.13 cnf(matrix-3773, plain, ( ~class_Power_Opower(_u8792) | ~class_Rings_Osemiring__0(_u8792) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8792), c_Groups_Ozero__class_Ozero(_u8792)), hAPP(c_Nat_OSuc, _u8793)) = c_Groups_Ozero__class_Ozero(_u8792)) )).
% 39.91/40.13 cnf(matrix-3774, plain, ( ~class_Rings_Olinordered__semidom(_u8794) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8794), c_Groups_Oone__class_Oone(_u8794)), _u8795)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8794), _u8795), _u8796) != hAPP(hAPP(c_Power_Opower__class_Opower(_u8794), _u8795), _u8797)) | ( _u8796 = _u8797) )).
% 39.91/40.13 cnf(matrix-3775, plain, ( ~class_Rings_Olinordered__semidom(_u8794) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8794), c_Groups_Oone__class_Oone(_u8794)), _u8795)) | ( _u8796 != _u8797) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8794), _u8795), _u8796) = hAPP(hAPP(c_Power_Opower__class_Opower(_u8794), _u8795), _u8797)) )).
% 39.91/40.13 cnf(matrix-3776, plain, ( ~class_Groups_Omonoid__mult(_u8798) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8798), _u8799), hAPP(c_Nat_OSuc, _u8800)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8798), hAPP(hAPP(c_Power_Opower__class_Opower(_u8798), _u8799), _u8800)), _u8799)) )).
% 39.91/40.13 cnf(matrix-3777, plain, ( ~class_Power_Opower(_u8801) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8801), _u8802), hAPP(c_Nat_OSuc, _u8803)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8801), _u8802), hAPP(hAPP(c_Power_Opower__class_Opower(_u8801), _u8802), _u8803))) )).
% 39.91/40.13 cnf(matrix-3778, plain, ( ~class_Power_Opower(_u8804) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8804), _u8805), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u8804)) )).
% 39.91/40.13 cnf(matrix-3779, plain, ( ~class_Groups_Omonoid__mult(_u8806) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8806), _u8807), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8808), _u8809)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8806), hAPP(hAPP(c_Power_Opower__class_Opower(_u8806), _u8807), _u8808)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8806), _u8807), _u8809))) )).
% 39.91/40.13 cnf(matrix-3780, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u8810) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 39.91/40.13 cnf(matrix-3781, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u8813), _u8815) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u8815 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u8813 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 39.91/40.13 cnf(matrix-3782, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u8814), _u8816) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u8816 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.13 cnf(matrix-3783, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u8814), _u8816) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u8814 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 39.91/40.13 cnf(matrix-3784, 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), _u8819), _u8821))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8819)) | ( _u8821 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.13 cnf(matrix-3785, 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), _u8820), _u8822))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8820)) )).
% 39.91/40.13 cnf(matrix-3786, 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), _u8820), _u8822))) | ( _u8822 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.13 cnf(matrix-3787, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8823)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u8823), _u8824)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u8823), _u8825))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8824), _u8825)) )).
% 39.91/40.13 cnf(matrix-3788, plain, ( ~class_Rings_Osemiring__1(_u8826) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8826), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u8827), _u8828)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u8826), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8826), _u8827)), _u8828)) )).
% 39.91/40.13 cnf(matrix-3789, plain, ( ~class_Rings_Olinordered__semidom(_u8829) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8829), hAPP(hAPP(c_Power_Opower__class_Opower(_u8829), _u8830), _u8831)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8829), _u8832), _u8831))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8829), c_Groups_Ozero__class_Ozero(_u8829)), _u8832)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8829), _u8830), _u8832)) )).
% 39.91/40.13 cnf(matrix-3790, plain, ( ~class_Rings_Olinordered__semidom(_u8833) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8833), hAPP(hAPP(c_Power_Opower__class_Opower(_u8833), _u8834), hAPP(c_Nat_OSuc, _u8835))), hAPP(hAPP(c_Power_Opower__class_Opower(_u8833), _u8836), hAPP(c_Nat_OSuc, _u8835)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8833), c_Groups_Ozero__class_Ozero(_u8833)), _u8836)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8833), _u8834), _u8836)) )).
% 39.91/40.13 cnf(matrix-3791, plain, ( ~class_Rings_Olinordered__semidom(_u8837) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8837), _u8838), hAPP(c_Nat_OSuc, _u8839)) != hAPP(hAPP(c_Power_Opower__class_Opower(_u8837), _u8840), hAPP(c_Nat_OSuc, _u8839))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8837), c_Groups_Ozero__class_Ozero(_u8837)), _u8838)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8837), c_Groups_Ozero__class_Ozero(_u8837)), _u8840)) | ( _u8838 = _u8840) )).
% 39.91/40.13 cnf(matrix-3792, plain, ( ~class_Rings_Olinordered__semidom(_u8841) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8841), c_Groups_Oone__class_Oone(_u8841)), _u8842)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8841), hAPP(hAPP(c_Power_Opower__class_Opower(_u8841), _u8842), _u8843)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8841), _u8842), hAPP(hAPP(c_Power_Opower__class_Opower(_u8841), _u8842), _u8843)))) )).
% 39.91/40.13 cnf(matrix-3793, plain, ( ~class_Rings_Olinordered__semidom(_u8844) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8844), c_Groups_Oone__class_Oone(_u8844)), _u8845)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8844), c_Groups_Oone__class_Oone(_u8844)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8844), _u8845), hAPP(hAPP(c_Power_Opower__class_Opower(_u8844), _u8845), _u8846)))) )).
% 39.91/40.13 cnf(matrix-3794, plain, ( ~class_Power_Opower(_u8847) | ~class_Rings_Osemiring__0(_u8847) | ( _u8848 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8847), c_Groups_Ozero__class_Ozero(_u8847)), _u8848) = c_Groups_Oone__class_Oone(_u8847)) )).
% 39.91/40.13 cnf(matrix-3795, plain, ( ~class_Power_Opower(_u8847) | ~class_Rings_Osemiring__0(_u8847) | ( _u8848 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8847), c_Groups_Ozero__class_Ozero(_u8847)), _u8848) = c_Groups_Ozero__class_Ozero(_u8847)) )).
% 39.91/40.13 cnf(matrix-3796, plain, ( ~class_Rings_Olinordered__semidom(_u8849) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8849), c_Groups_Oone__class_Oone(_u8849)), _u8850)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8849), c_Groups_Oone__class_Oone(_u8849)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8849), _u8850), hAPP(c_Nat_OSuc, _u8851)))) )).
% 39.91/40.13 cnf(matrix-3797, plain, ( ~class_Rings_Olinordered__semidom(_u8852) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8852), c_Groups_Oone__class_Oone(_u8852)), _u8853)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8852), hAPP(hAPP(c_Power_Opower__class_Opower(_u8852), _u8853), _u8854)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8852), _u8853), _u8855))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8854), _u8855)) )).
% 39.91/40.13 cnf(matrix-3798, plain, ( ~class_Rings_Olinordered__semidom(_u8852) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8852), c_Groups_Oone__class_Oone(_u8852)), _u8853)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8854), _u8855)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8852), hAPP(hAPP(c_Power_Opower__class_Opower(_u8852), _u8853), _u8854)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8852), _u8853), _u8855))) )).
% 39.91/40.13 cnf(matrix-3799, plain, ( ~class_Rings_Olinordered__semidom(_u8856) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8856), c_Groups_Oone__class_Oone(_u8856)), _u8857)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8856), hAPP(hAPP(c_Power_Opower__class_Opower(_u8856), _u8857), _u8858)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8856), _u8857), _u8859))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8858), _u8859)) )).
% 39.91/40.13 cnf(matrix-3800, plain, ( ~class_Rings_Olinordered__semidom(_u8860) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8861), _u8862)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8860), c_Groups_Oone__class_Oone(_u8860)), _u8863)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8860), hAPP(hAPP(c_Power_Opower__class_Opower(_u8860), _u8863), _u8861)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8860), _u8863), _u8862))) )).
% 39.91/40.13 cnf(matrix-3801, plain, ( ~class_Rings_Olinordered__semidom(_u8864) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8865), _u8866)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8864), c_Groups_Oone__class_Oone(_u8864)), _u8867)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8864), hAPP(hAPP(c_Power_Opower__class_Opower(_u8864), _u8867), _u8865)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8864), _u8867), _u8866))) )).
% 39.91/40.13 cnf(matrix-3802, plain, ( ~class_Rings_Oring__1(_u8868) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8868), hAPP(c_Groups_Ouminus__class_Ouminus(_u8868), _u8869)), _u8870) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8868), hAPP(hAPP(c_Power_Opower__class_Opower(_u8868), hAPP(c_Groups_Ouminus__class_Ouminus(_u8868), c_Groups_Oone__class_Oone(_u8868))), _u8870)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8868), _u8869), _u8870))) )).
% 39.91/40.13 cnf(matrix-3803, 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))), _u8871)) | 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), _u8871), _u8872))) )).
% 39.91/40.13 cnf(matrix-3804, plain, ( ~class_Rings_Olinordered__semidom(_u8873) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8873), c_Groups_Ozero__class_Ozero(_u8873)), _u8874)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8873), _u8874), c_Groups_Oone__class_Oone(_u8873))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8873), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8873), _u8874), hAPP(hAPP(c_Power_Opower__class_Opower(_u8873), _u8874), _u8875))), hAPP(hAPP(c_Power_Opower__class_Opower(_u8873), _u8874), _u8875))) )).
% 39.91/40.13 cnf(matrix-3805, plain, ( ~class_Rings_Olinordered__semidom(_u8876) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8876), _u8877), _u8878) != hAPP(hAPP(c_Power_Opower__class_Opower(_u8876), _u8879), _u8878)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8876), c_Groups_Ozero__class_Ozero(_u8876)), _u8877)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8876), c_Groups_Ozero__class_Ozero(_u8876)), _u8879)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8878)) | ( _u8877 = _u8879) )).
% 39.91/40.13 cnf(matrix-3806, plain, ( ~class_Rings_Olinordered__semidom(_u8880) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8880), c_Groups_Ozero__class_Ozero(_u8880)), _u8881)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8880), _u8881), c_Groups_Oone__class_Oone(_u8880))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8880), hAPP(hAPP(c_Power_Opower__class_Opower(_u8880), _u8881), hAPP(c_Nat_OSuc, _u8882))), c_Groups_Oone__class_Oone(_u8880))) )).
% 39.91/40.13 cnf(matrix-3807, plain, ( ~class_Rings_Olinordered__semidom(_u8883) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8884), _u8885)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8883), c_Groups_Ozero__class_Ozero(_u8883)), _u8886)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8883), _u8886), c_Groups_Oone__class_Oone(_u8883))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8883), hAPP(hAPP(c_Power_Opower__class_Opower(_u8883), _u8886), _u8885)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8883), _u8886), _u8884))) )).
% 39.91/40.13 cnf(matrix-3808, plain, ( ( c_Sum__Type_OPlus(_u8887, _u8888, c_Orderings_Otop__class_Otop(tc_fun(_u8887, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u8888, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u8887, _u8888), tc_HOL_Obool))) )).
% 39.91/40.13 cnf(matrix-3809, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_fun(tc_Int_Oint, tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))), tc_prod(tc_Int_Oint, tc_Int_Oint)), c_Smallcheck_Osmall_H__rel), hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_Int_Oint, tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))), tc_prod(tc_Int_Oint, tc_Int_Oint)), _u8892), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8893), _u8894)))) | hBOOL(hAPP(hAPP(hAPP(_u8895, _u8892), _u8893), _u8894)) | hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_fun(tc_Int_Oint, tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))), tc_prod(tc_Int_Oint, tc_Int_Oint)), c_Smallcheck_Osmall_H__rel), hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_Int_Oint, tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))), tc_prod(tc_Int_Oint, tc_Int_Oint)), skolem161(_u8895, _u8894, _u8893, _u8892)), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), skolem162(_u8895, _u8894, _u8893, _u8892)), skolem163(_u8895, _u8894, _u8893, _u8892))))) )).
% 39.91/40.13 cnf(matrix-3810, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_fun(tc_Int_Oint, tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))), tc_prod(tc_Int_Oint, tc_Int_Oint)), c_Smallcheck_Osmall_H__rel), hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_Int_Oint, tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))), tc_prod(tc_Int_Oint, tc_Int_Oint)), _u8892), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8893), _u8894)))) | hBOOL(hAPP(hAPP(hAPP(_u8895, _u8892), _u8893), _u8894)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem162(_u8895, _u8894, _u8893, _u8892)), skolem163(_u8895, _u8894, _u8893, _u8892))) | ( hAPP(skolem161(_u8895, _u8894, _u8893, _u8892), skolem163(_u8895, _u8894, _u8893, _u8892)) != c_Option_Ooption_ONone(tc_List_Olist(tc_Code__Evaluation_Oterm))) | hBOOL(hAPP(hAPP(hAPP(_u8895, skolem161(_u8895, _u8894, _u8893, _u8892)), skolem162(_u8895, _u8894, _u8893, _u8892)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem163(_u8895, _u8894, _u8893, _u8892)), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 39.91/40.13 cnf(matrix-3811, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_fun(tc_Int_Oint, tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))), tc_prod(tc_Int_Oint, tc_Int_Oint)), c_Smallcheck_Osmall_H__rel), hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_Int_Oint, tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))), tc_prod(tc_Int_Oint, tc_Int_Oint)), _u8892), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8893), _u8894)))) | hBOOL(hAPP(hAPP(hAPP(_u8895, _u8892), _u8893), _u8894)) | ~hBOOL(hAPP(hAPP(hAPP(_u8895, skolem161(_u8895, _u8894, _u8893, _u8892)), skolem162(_u8895, _u8894, _u8893, _u8892)), skolem163(_u8895, _u8894, _u8893, _u8892))) )).
% 39.91/40.13 cnf(matrix-3812, plain, ( ~hBOOL(hAPP(_u8896, _u8897)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8898, _u8898)), hAPP(hAPP(c_Product__Type_OPair(_u8898, _u8898), _u8899), _u8900)), hAPP(_u8901, _u8897))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u8902, _u8898), tc_prod(_u8902, _u8898))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u8902, _u8898), tc_prod(_u8902, _u8898)), hAPP(hAPP(c_Product__Type_OPair(_u8902, _u8898), _u8897), _u8899)), hAPP(hAPP(c_Product__Type_OPair(_u8902, _u8898), _u8897), _u8900))), c_Recdef_Osame__fst(_u8902, _u8898, _u8896, _u8901))) )).
% 39.91/40.13 cnf(matrix-3813, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8903), _u8909)) | ~hBOOL(hAPP(_u8911, _u8903)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem164(_u8911, _u8909)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8909))) )).
% 39.91/40.13 cnf(matrix-3814, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8903), _u8909)) | ~hBOOL(hAPP(_u8911, _u8903)) | hBOOL(hAPP(_u8911, skolem164(_u8911, _u8909))) )).
% 39.91/40.13 cnf(matrix-3815, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u8905), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8910))) | ~hBOOL(hAPP(_u8912, _u8905)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem165(_u8912, _u8910)), _u8910)) )).
% 39.91/40.13 cnf(matrix-3816, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u8905), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8910))) | ~hBOOL(hAPP(_u8912, _u8905)) | hBOOL(hAPP(_u8912, skolem165(_u8912, _u8910))) )).
% 39.91/40.13 cnf(matrix-3817, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u8914), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8919))) | hBOOL(hAPP(_u8921, _u8914)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem166(_u8921, _u8919)), _u8919)) )).
% 39.91/40.13 cnf(matrix-3818, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u8914), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8919))) | hBOOL(hAPP(_u8921, _u8914)) | ~hBOOL(hAPP(_u8921, skolem166(_u8921, _u8919))) )).
% 39.91/40.13 cnf(matrix-3819, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8916), _u8920)) | hBOOL(hAPP(_u8922, _u8916)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem167(_u8922, _u8920)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8920))) )).
% 39.91/40.13 cnf(matrix-3820, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8916), _u8920)) | hBOOL(hAPP(_u8922, _u8916)) | ~hBOOL(hAPP(_u8922, skolem167(_u8922, _u8920))) )).
% 39.91/40.13 cnf(matrix-3821, plain, ( ( c_Sum__Type_OPlus(_u8927, _u8929, _u8931, _u8933) != c_Orderings_Obot__class_Obot(tc_fun(tc_sum(_u8927, _u8929), tc_HOL_Obool))) | ( _u8931 = c_Orderings_Obot__class_Obot(tc_fun(_u8927, tc_HOL_Obool))) )).
% 39.91/40.13 cnf(matrix-3822, plain, ( ( c_Sum__Type_OPlus(_u8927, _u8929, _u8931, _u8933) != c_Orderings_Obot__class_Obot(tc_fun(tc_sum(_u8927, _u8929), tc_HOL_Obool))) | ( _u8933 = c_Orderings_Obot__class_Obot(tc_fun(_u8929, tc_HOL_Obool))) )).
% 39.91/40.13 cnf(matrix-3823, plain, ( ( _u8932 != c_Orderings_Obot__class_Obot(tc_fun(_u8928, tc_HOL_Obool))) | ( _u8934 != c_Orderings_Obot__class_Obot(tc_fun(_u8930, tc_HOL_Obool))) | ( c_Sum__Type_OPlus(_u8928, _u8930, _u8932, _u8934) = c_Orderings_Obot__class_Obot(tc_fun(tc_sum(_u8928, _u8930), tc_HOL_Obool))) )).
% 39.91/40.13 cnf(matrix-3824, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8936, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8936, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem168(_u8939, _u8938, _u8937, _u8936))), _u8937)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8936, 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), skolem168(_u8939, _u8938, _u8937, _u8936)), _u8938))), _u8939))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8936, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8936, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u8937)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8936, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u8939))) )).
% 39.91/40.13 cnf(matrix-3825, plain, ( ~class_Power_Opower(_u8940) | ( c_Power_Opower__class_Opower(_u8940) = c_Power_Opower_Opower(_u8940, c_Groups_Oone__class_Oone(_u8940), c_Groups_Otimes__class_Otimes(_u8940))) )).
% 39.91/40.13 cnf(matrix-3826, plain, ( ( _u8941 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8942), _u8943)), _u8944)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u8941, _u8942), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8943), _u8944))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8942)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8942), _u8944)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8944), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.91/40.13 cnf(matrix-3827, plain, ( ( _u8941 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8942), _u8943)), _u8944)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u8941, _u8942), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8943), _u8944))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8944)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8944), _u8942)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8942)) )).
% 39.91/40.13 cnf(matrix-3828, plain, ( ( _u8941 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8942), _u8943)), _u8944)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u8941, _u8942), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8943), _u8944))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8944)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8944), _u8942)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8942), _u8944)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8944), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.91/40.13 cnf(matrix-3829, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8946, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem169(_u8949, _u8948, _u8947, _u8946))), _u8947) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8946, 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), skolem169(_u8949, _u8948, _u8947, _u8946)), _u8948))), _u8949)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8946, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u8947) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8946, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u8949)) )).
% 39.91/40.13 cnf(matrix-3830, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8951, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8951, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem170(_u8953, _u8952, _u8951))), _u8952)), _u8953)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8951, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u8951, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u8952)), _u8953)) )).
% 39.91/40.13 cnf(matrix-3831, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u8954, _u8955), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8956), _u8957))) | ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u8954, _u8955), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8958), _u8959))) | ( _u8955 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u8957 = _u8959) )).
% 39.91/40.13 cnf(matrix-3832, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u8960, _u8961), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8962), _u8963))) | ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u8960, _u8961), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8964), _u8965))) | ( _u8961 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u8962 = _u8964) )).
% 39.91/40.13 cnf(matrix-3833, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u8966, _u8966), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8967), _u8968))) | ( _u8966 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u8968 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 39.91/40.13 cnf(matrix-3834, plain, ( ( _u8969 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u8969), 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)))) )).
% 39.91/40.13 cnf(matrix-3835, plain, ( ( hAPP(hAPP(c_Power_Opower_Opower(_u8970, _u8971, _u8972), _u8973), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u8971) )).
% 39.91/40.13 cnf(matrix-3836, plain, ( ( hAPP(hAPP(c_Power_Opower_Opower(_u8974, _u8975, _u8976), _u8977), hAPP(c_Nat_OSuc, _u8978)) = hAPP(hAPP(_u8976, _u8977), hAPP(hAPP(c_Power_Opower_Opower(_u8974, _u8975, _u8976), _u8977), _u8978))) )).
% 39.91/40.13 cnf(matrix-3837, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u8979, _u8979), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8980), _u8981))) | ( _u8979 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u8980 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 39.91/40.13 cnf(matrix-3838, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u8982, _u8983), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8984), _u8985))) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8982), _u8983), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(hAPP(c_If(tc_Int_Oint), hAPP(hAPP(c_fequal, _u8985), c_Groups_Ozero__class_Ozero(tc_Int_Oint))), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8984)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8984)), c_Groups_Oone__class_Oone(tc_Int_Oint)))), hAPP(hAPP(hAPP(c_If(tc_Int_Oint), hAPP(hAPP(c_fequal, _u8985), 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), _u8983), _u8985))))) )).
% 39.91/40.13 cnf(matrix-3839, plain, ( ~class_Orderings_Olinorder(_u8986) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8986), _u8987), _u8988)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8986, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u8986), _u8987), c_Orderings_Obot__class_Obot(tc_fun(_u8986, tc_HOL_Obool)))), c_SetInterval_Oord__class_OgreaterThanLessThan(_u8986, _u8987, _u8988)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8986, _u8987), _u8988)) )).
% 39.91/40.13 cnf(matrix-3840, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8989)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8990)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u8990), _u8989)), _u8990) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u8990), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8989), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) )).
% 39.91/40.13 cnf(matrix-3841, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u8994, tc_HOL_Obool), tc_fun(_u8994, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u8994, tc_HOL_Obool), tc_fun(_u8994, tc_HOL_Obool)), _u8996), _u8998)), c_Wellfounded_Ofinite__psubset(_u8994))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u8994, tc_HOL_Obool)), _u8996), _u8998)) )).
% 39.91/40.13 cnf(matrix-3842, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u8994, tc_HOL_Obool), tc_fun(_u8994, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u8994, tc_HOL_Obool), tc_fun(_u8994, tc_HOL_Obool)), _u8996), _u8998)), c_Wellfounded_Ofinite__psubset(_u8994))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8994), _u8998)) )).
% 39.91/40.13 cnf(matrix-3843, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u8995, tc_HOL_Obool)), _u8997), _u8999)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8995), _u8999)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u8995, tc_HOL_Obool), tc_fun(_u8995, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u8995, tc_HOL_Obool), tc_fun(_u8995, tc_HOL_Obool)), _u8997), _u8999)), c_Wellfounded_Ofinite__psubset(_u8995))) )).
% 39.91/40.13 cnf(matrix-3844, plain, ( ~class_Orderings_Olinorder(_u9000) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9000), _u9001)) | ~hBOOL(hAPP(hAPP(c_member(_u9000), _u9002), _u9001)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9000, tc_HOL_Obool)), _u9001), hAPP(hAPP(c_Set_Oinsert(_u9000), _u9002), c_Orderings_Obot__class_Obot(tc_fun(_u9000, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u9000, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u9000, c_Orderings_Oord__class_Omin(_u9000), _u9001) = _u9002) )).
% 39.91/40.13 cnf(matrix-3845, plain, ( ~class_Orderings_Olinorder(_u9000) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9000), _u9001)) | ~hBOOL(hAPP(hAPP(c_member(_u9000), _u9002), _u9001)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9000, tc_HOL_Obool)), _u9001), hAPP(hAPP(c_Set_Oinsert(_u9000), _u9002), c_Orderings_Obot__class_Obot(tc_fun(_u9000, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u9000, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u9000, c_Orderings_Oord__class_Omin(_u9000), _u9001) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9000), _u9002), c_Big__Operators_Olattice_OInf__fin(_u9000, c_Orderings_Oord__class_Omin(_u9000), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9000, tc_HOL_Obool)), _u9001), hAPP(hAPP(c_Set_Oinsert(_u9000), _u9002), c_Orderings_Obot__class_Obot(tc_fun(_u9000, tc_HOL_Obool))))))) )).
% 39.91/40.13 cnf(matrix-3846, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OSemi(_u9003, _u9004)) = 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), _u9003)), hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), _u9004))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 39.91/40.13 cnf(matrix-3847, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u9005, _u9006))) )).
% 39.91/40.13 cnf(matrix-3848, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u9007, _u9008))) )).
% 39.91/40.13 cnf(matrix-3849, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9009) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 39.91/40.13 cnf(matrix-3850, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9010), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9011)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9010)), _u9011)) )).
% 39.91/40.13 cnf(matrix-3851, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9012)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9013)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9012), _u9013)) )).
% 39.91/40.13 cnf(matrix-3852, plain, ( ~class_Divides_Osemiring__div(_u9014) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9014), _u9015), c_Groups_Ozero__class_Ozero(_u9014)) = c_Groups_Ozero__class_Ozero(_u9014)) )).
% 39.91/40.13 cnf(matrix-3853, plain, ( ~class_Divides_Osemiring__div(_u9016) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9016), c_Groups_Ozero__class_Ozero(_u9016)), _u9017) = c_Groups_Ozero__class_Ozero(_u9016)) )).
% 39.91/40.13 cnf(matrix-3854, plain, ( ~class_Divides_Osemiring__div(_u9018) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9018), _u9019), c_Groups_Oone__class_Oone(_u9018)) = _u9019) )).
% 39.91/40.13 cnf(matrix-3855, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9020)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9021)) | 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), _u9020), _u9021))) )).
% 39.91/40.13 cnf(matrix-3856, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9022), 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)), _u9023)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9022), _u9023)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.91/40.13 cnf(matrix-3857, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9024), 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), _u9025), _u9024)), 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)), _u9025)) )).
% 39.91/40.13 cnf(matrix-3858, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9024), 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)), _u9025)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9025), _u9024)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.91/40.13 cnf(matrix-3859, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9026)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9027), _u9026)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9027), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.91/40.13 cnf(matrix-3860, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9026)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9027), 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), _u9027), _u9026)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.91/40.13 cnf(matrix-3861, plain, ( ( _u9028 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9028), _u9028) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 39.91/40.13 cnf(matrix-3862, plain, ( ~class_Divides_Osemiring__div(_u9029) | ( _u9030 != c_Groups_Ozero__class_Ozero(_u9029)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9029), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9029), _u9030), _u9031)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9029), _u9030), _u9032)) = c_Groups_Ozero__class_Ozero(_u9029)) )).
% 39.91/40.13 cnf(matrix-3863, plain, ( ~class_Divides_Osemiring__div(_u9029) | ( _u9030 = c_Groups_Ozero__class_Ozero(_u9029)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9029), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9029), _u9030), _u9031)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9029), _u9030), _u9032)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9029), _u9031), _u9032)) )).
% 39.91/40.13 cnf(matrix-3864, plain, ( ~class_Divides_Osemiring__div(_u9033) | ( _u9034 = c_Groups_Ozero__class_Ozero(_u9033)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9033), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9033), _u9035), _u9034)), _u9034) = _u9035) )).
% 39.91/40.13 cnf(matrix-3865, plain, ( ~class_Divides_Osemiring__div(_u9036) | ( _u9037 = c_Groups_Ozero__class_Ozero(_u9036)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9036), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9036), _u9037), _u9038)), _u9037) = _u9038) )).
% 39.91/40.13 cnf(matrix-3866, plain, ( ~class_Divides_Osemiring__div(_u9039) | ( _u9040 = c_Groups_Ozero__class_Ozero(_u9039)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9039), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9039), _u9041), _u9040)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9039), _u9042), _u9040)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9039), _u9041), _u9042)) )).
% 39.91/40.13 cnf(matrix-3867, plain, ( ~class_Divides_Osemiring__div(_u9043) | ( _u9044 = c_Groups_Ozero__class_Ozero(_u9043)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9043), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9043), _u9044), _u9045)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9043), _u9044), _u9046)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9043), _u9045), _u9046)) )).
% 39.91/40.13 cnf(matrix-3868, plain, ( ~class_Divides_Osemiring__div(_u9047) | ( _u9048 = c_Groups_Ozero__class_Ozero(_u9047)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9047), _u9048), _u9048) = c_Groups_Oone__class_Oone(_u9047)) )).
% 39.91/40.13 cnf(matrix-3869, plain, ( ~class_Orderings_Oorder(_u9049) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9049), _u9050), _u9051)) | ( c_SetInterval_Oord__class_OgreaterThanLessThan(_u9049, _u9051, _u9050) = c_Orderings_Obot__class_Obot(tc_fun(_u9049, tc_HOL_Obool))) )).
% 39.91/40.13 cnf(matrix-3870, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9052), _u9053)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9054), 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), _u9053), _u9054)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9052), _u9054))) )).
% 39.91/40.13 cnf(matrix-3871, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9055), _u9056)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9057)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9055), _u9057)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9057))) )).
% 39.91/40.13 cnf(matrix-3872, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9058), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9059), _u9058)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9058), _u9059) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 39.91/40.13 cnf(matrix-3873, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9060), 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)), _u9061)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9061), _u9062)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9060), _u9061)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9060), _u9062))) )).
% 39.91/40.13 cnf(matrix-3874, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9063), 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)), _u9064)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9063), _u9064)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.91/40.13 cnf(matrix-3875, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9065), 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), _u9066), _u9065))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9066), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.91/40.13 cnf(matrix-3876, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9065), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9066), 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), _u9066), _u9065))) )).
% 39.91/40.13 cnf(matrix-3877, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9067)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9067), _u9068)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9067), _u9068) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 39.91/40.13 cnf(matrix-3878, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9069)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9070), 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), _u9069), _u9070)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.91/40.13 cnf(matrix-3879, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9071)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9072)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9072), _u9073)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9071), _u9073)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9071), _u9072))) )).
% 39.91/40.13 cnf(matrix-3880, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9074)) | ~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), _u9074), _u9075))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9075), _u9074)) )).
% 39.91/40.13 cnf(matrix-3881, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9074)) | ~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), _u9074), _u9075))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9075)) )).
% 39.91/40.13 cnf(matrix-3882, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9074)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9075), _u9074)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9075)) | 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), _u9074), _u9075))) )).
% 39.91/40.13 cnf(matrix-3883, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9076)) | ~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), _u9077), _u9076))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9076), _u9077)) )).
% 39.91/40.13 cnf(matrix-3884, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9076)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9076), _u9077)) | 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), _u9077), _u9076))) )).
% 39.91/40.13 cnf(matrix-3885, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9078)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9079), _u9078))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9079)) )).
% 39.91/40.13 cnf(matrix-3886, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9078)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9079)) | 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), _u9079), _u9078))) )).
% 39.91/40.13 cnf(matrix-3887, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9082), _u9084) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9084 = 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)), _u9082)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9082), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.91/40.13 cnf(matrix-3888, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9082), _u9084) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9084 = 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)), _u9082)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9084), _u9082)) )).
% 39.91/40.13 cnf(matrix-3889, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9082), _u9084) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9084 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9082), _u9084)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9082), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.91/40.13 cnf(matrix-3890, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9082), _u9084) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9084 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9082), _u9084)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9084), _u9082)) )).
% 39.91/40.13 cnf(matrix-3891, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9083), _u9085) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9085 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 39.91/40.13 cnf(matrix-3892, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9083), _u9085) = 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)), _u9083)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9083), _u9085)) )).
% 39.91/40.13 cnf(matrix-3893, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9083), _u9085) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9083), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9085), _u9083)) )).
% 39.91/40.13 cnf(matrix-3894, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u9086)), _u9087) = c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u9086, _u9087)) )).
% 39.91/40.13 cnf(matrix-3895, plain, ( ~class_Groups_Oordered__ab__group__add(_u9088) | ( hAPP(c_Set_Oimage(_u9088, _u9088, c_Groups_Ouminus__class_Ouminus(_u9088)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u9088, _u9089, _u9090)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u9088, hAPP(c_Groups_Ouminus__class_Ouminus(_u9088), _u9090), hAPP(c_Groups_Ouminus__class_Ouminus(_u9088), _u9089))) )).
% 39.91/40.13 cnf(matrix-3896, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9091)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u9092)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9091), _u9092)), _u9091)) )).
% 39.91/40.13 cnf(matrix-3897, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9093)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9094), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9095), _u9093)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9094), _u9095)), _u9093)) )).
% 39.91/40.13 cnf(matrix-3898, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u9096, _u9097), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u9098), _u9099))) | ( _u9097 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9096), _u9097) = _u9098) )).
% 39.91/40.13 cnf(matrix-3899, plain, ( ~class_Divides_Osemiring__div(_u9100) | ( _u9101 = c_Groups_Ozero__class_Ozero(_u9100)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9100), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9100), _u9102), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9100), _u9101), _u9103))), _u9101) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9100), _u9103), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9100), _u9102), _u9101))) )).
% 39.91/40.13 cnf(matrix-3900, plain, ( ~class_Divides_Osemiring__div(_u9104) | ( _u9105 = c_Groups_Ozero__class_Ozero(_u9104)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9104), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9104), _u9106), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9104), _u9107), _u9105))), _u9105) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9104), _u9107), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9104), _u9106), _u9105))) )).
% 39.91/40.13 cnf(matrix-3901, plain, ( ~class_Divides_Osemiring__div(_u9108) | ( _u9109 = c_Groups_Ozero__class_Ozero(_u9108)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9108), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9108), _u9109), _u9110)), _u9109) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9108), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9108), _u9110), _u9109)), c_Groups_Oone__class_Oone(_u9108))) )).
% 39.91/40.13 cnf(matrix-3902, plain, ( ~class_Divides_Osemiring__div(_u9111) | ( _u9112 = c_Groups_Ozero__class_Ozero(_u9111)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9111), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9111), _u9113), _u9112)), _u9112) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9111), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9111), _u9113), _u9112)), c_Groups_Oone__class_Oone(_u9111))) )).
% 39.91/40.13 cnf(matrix-3903, plain, ( ~class_Orderings_Olinorder(_u9114) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9114), _u9115)) | ~hBOOL(hAPP(hAPP(c_member(_u9114), _u9116), _u9115)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9114), _u9116), c_Big__Operators_Olattice_OInf__fin(_u9114, c_Orderings_Oord__class_Omin(_u9114), _u9115)) = c_Big__Operators_Olattice_OInf__fin(_u9114, c_Orderings_Oord__class_Omin(_u9114), _u9115)) )).
% 39.91/40.13 cnf(matrix-3904, plain, ( ~class_Orderings_Olinorder(_u9117) | ( c_Big__Operators_Olattice_OInf__fin(_u9117, c_Orderings_Oord__class_Omin(_u9117), hAPP(hAPP(c_Set_Oinsert(_u9117), _u9118), c_Orderings_Obot__class_Obot(tc_fun(_u9117, tc_HOL_Obool)))) = _u9118) )).
% 39.91/40.13 cnf(matrix-3905, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OAss(_u9119, _u9120)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.13 cnf(matrix-3906, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OSKIP) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.13 cnf(matrix-3907, plain, ( ~class_Orderings_Oorder(_u9121) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9121, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u9121, _u9122, _u9123)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u9121, _u9123), _u9124)) = c_Orderings_Obot__class_Obot(tc_fun(_u9121, tc_HOL_Obool))) )).
% 39.91/40.13 cnf(matrix-3908, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u9125, _u9126)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u9126), hAPP(c_Nat_OSuc, _u9125))) )).
% 39.91/40.13 cnf(matrix-3909, plain, ( ~class_Orderings_Olinorder(_u9127) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9127), _u9128)) | ( _u9128 = c_Orderings_Obot__class_Obot(tc_fun(_u9127, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u9127, c_Orderings_Oord__class_Omin(_u9127), hAPP(hAPP(c_Set_Oinsert(_u9127), _u9129), _u9128)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9127), _u9129), c_Big__Operators_Olattice_OInf__fin(_u9127, c_Orderings_Oord__class_Omin(_u9127), _u9128))) )).
% 39.91/40.13 cnf(matrix-3910, plain, ( ~class_Orderings_Olinorder(_u9130) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9130), _u9131)) | ( _u9132 = c_Orderings_Obot__class_Obot(tc_fun(_u9130, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9130, tc_HOL_Obool)), _u9132), _u9131)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9130), c_Big__Operators_Olattice_OInf__fin(_u9130, c_Orderings_Oord__class_Omin(_u9130), _u9132)), c_Big__Operators_Olattice_OInf__fin(_u9130, c_Orderings_Oord__class_Omin(_u9130), _u9131)) = c_Big__Operators_Olattice_OInf__fin(_u9130, c_Orderings_Oord__class_Omin(_u9130), _u9131)) )).
% 39.91/40.13 cnf(matrix-3911, plain, ( ~class_Orderings_Olinorder(_u9133) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9133), _u9134)) | ( _u9134 = c_Orderings_Obot__class_Obot(tc_fun(_u9133, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9133), _u9135)) | ( _u9135 = c_Orderings_Obot__class_Obot(tc_fun(_u9133, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u9133, c_Orderings_Oord__class_Omin(_u9133), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9133, tc_HOL_Obool)), _u9134), _u9135)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9133), c_Big__Operators_Olattice_OInf__fin(_u9133, c_Orderings_Oord__class_Omin(_u9133), _u9134)), c_Big__Operators_Olattice_OInf__fin(_u9133, c_Orderings_Oord__class_Omin(_u9133), _u9135))) )).
% 39.91/40.13 cnf(matrix-3912, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9136), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u9137) = c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u9136, _u9137)) )).
% 39.91/40.13 cnf(matrix-3913, plain, ( ( _u9138 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9139), _u9140)), _u9141)) | ( _u9139 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9138), _u9139) = _u9140) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9139)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9139), _u9141)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9141), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.91/40.13 cnf(matrix-3914, plain, ( ( _u9138 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9139), _u9140)), _u9141)) | ( _u9139 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9138), _u9139) = _u9140) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9141)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9141), _u9139)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9139)) )).
% 39.91/40.13 cnf(matrix-3915, plain, ( ( _u9138 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9139), _u9140)), _u9141)) | ( _u9139 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9138), _u9139) = _u9140) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9141)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9141), _u9139)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9139), _u9141)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9141), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.91/40.13 cnf(matrix-3916, plain, ( ~hBOOL(hAPP(_u9153, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9155), _u9157))) | ( _u9157 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(_u9153, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.91/40.13 cnf(matrix-3917, plain, ( ~hBOOL(hAPP(_u9153, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9155), _u9157))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9157)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9142)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9142), _u9157)) | ( _u9155 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9157), _u9143)), _u9142)) | hBOOL(hAPP(_u9153, _u9143)) )).
% 39.91/40.13 cnf(matrix-3918, plain, ( ~hBOOL(hAPP(_u9153, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9155), _u9157))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9157), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9157), _u9144)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9144), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9155 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9157), _u9145)), _u9144)) | hBOOL(hAPP(_u9153, _u9145)) )).
% 39.91/40.13 cnf(matrix-3919, plain, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9158), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9158 = 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)), _u9158)) )).
% 39.91/40.13 cnf(matrix-3920, plain, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9158), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9158 = 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)), skolem172(_u9158, _u9156, _u9154))) )).
% 39.91/40.13 cnf(matrix-3921, plain, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9158), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9158 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem172(_u9158, _u9156, _u9154)), _u9158)) )).
% 39.91/40.13 cnf(matrix-3922, plain, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9158), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9158 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9156 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9158), skolem171(_u9158, _u9156, _u9154))), skolem172(_u9158, _u9156, _u9154))) )).
% 39.91/40.13 cnf(matrix-3923, plain, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9158), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9158 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u9154, skolem171(_u9158, _u9156, _u9154))) )).
% 39.91/40.13 cnf(matrix-3924, plain, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9158), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9154, 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)), _u9158)) )).
% 39.91/40.13 cnf(matrix-3925, plain, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9158), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9154, 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)), skolem172(_u9158, _u9156, _u9154))) )).
% 39.91/40.13 cnf(matrix-3926, plain, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9158), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9154, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem172(_u9158, _u9156, _u9154)), _u9158)) )).
% 39.91/40.13 cnf(matrix-3927, plain, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9158), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9154, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9156 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9158), skolem171(_u9158, _u9156, _u9154))), skolem172(_u9158, _u9156, _u9154))) )).
% 39.91/40.13 cnf(matrix-3928, plain, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9158), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9154, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9154, skolem171(_u9158, _u9156, _u9154))) )).
% 39.91/40.13 cnf(matrix-3929, plain, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9158), skolem174(_u9158, _u9156, _u9154))) | ( _u9158 = 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)), _u9158)) )).
% 39.91/40.13 cnf(matrix-3930, plain, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9158), skolem174(_u9158, _u9156, _u9154))) | ( _u9158 = 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)), skolem172(_u9158, _u9156, _u9154))) )).
% 39.91/40.13 cnf(matrix-3931, plain, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9158), skolem174(_u9158, _u9156, _u9154))) | ( _u9158 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem172(_u9158, _u9156, _u9154)), _u9158)) )).
% 39.91/40.13 cnf(matrix-3932, plain, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9158), skolem174(_u9158, _u9156, _u9154))) | ( _u9158 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9156 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9158), skolem171(_u9158, _u9156, _u9154))), skolem172(_u9158, _u9156, _u9154))) )).
% 39.91/40.13 cnf(matrix-3933, plain, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9158), skolem174(_u9158, _u9156, _u9154))) | ( _u9158 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u9154, skolem171(_u9158, _u9156, _u9154))) )).
% 39.91/40.13 cnf(matrix-3934, plain, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem174(_u9158, _u9156, _u9154)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9158 = 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)), _u9158)) )).
% 39.91/40.13 cnf(matrix-3935, plain, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem174(_u9158, _u9156, _u9154)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9158 = 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)), skolem172(_u9158, _u9156, _u9154))) )).
% 39.91/40.13 cnf(matrix-3936, plain, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem174(_u9158, _u9156, _u9154)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9158 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem172(_u9158, _u9156, _u9154)), _u9158)) )).
% 39.91/40.13 cnf(matrix-3937, plain, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem174(_u9158, _u9156, _u9154)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9158 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9156 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9158), skolem171(_u9158, _u9156, _u9154))), skolem172(_u9158, _u9156, _u9154))) )).
% 39.91/40.13 cnf(matrix-3938, plain, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem174(_u9158, _u9156, _u9154)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9158 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u9154, skolem171(_u9158, _u9156, _u9154))) )).
% 39.91/40.13 cnf(matrix-3939, plain, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | ( _u9156 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9158), skolem173(_u9158, _u9156, _u9154))), skolem174(_u9158, _u9156, _u9154))) | ( _u9158 = 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)), _u9158)) )).
% 39.91/40.13 cnf(matrix-3940, plain, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | ( _u9156 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9158), skolem173(_u9158, _u9156, _u9154))), skolem174(_u9158, _u9156, _u9154))) | ( _u9158 = 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)), skolem172(_u9158, _u9156, _u9154))) )).
% 39.91/40.13 cnf(matrix-3941, plain, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | ( _u9156 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9158), skolem173(_u9158, _u9156, _u9154))), skolem174(_u9158, _u9156, _u9154))) | ( _u9158 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem172(_u9158, _u9156, _u9154)), _u9158)) )).
% 39.91/40.13 cnf(matrix-3942, plain, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | ( _u9156 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9158), skolem173(_u9158, _u9156, _u9154))), skolem174(_u9158, _u9156, _u9154))) | ( _u9158 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9156 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9158), skolem171(_u9158, _u9156, _u9154))), skolem172(_u9158, _u9156, _u9154))) )).
% 39.91/40.13 cnf(matrix-3943, plain, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | ( _u9156 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9158), skolem173(_u9158, _u9156, _u9154))), skolem174(_u9158, _u9156, _u9154))) | ( _u9158 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u9154, skolem171(_u9158, _u9156, _u9154))) )).
% 39.91/40.13 cnf(matrix-3944, plain, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | ~hBOOL(hAPP(_u9154, skolem173(_u9158, _u9156, _u9154))) | ( _u9158 = 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)), _u9158)) )).
% 39.91/40.13 cnf(matrix-3945, plain, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | ~hBOOL(hAPP(_u9154, skolem173(_u9158, _u9156, _u9154))) | ( _u9158 = 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)), skolem172(_u9158, _u9156, _u9154))) )).
% 39.91/40.13 cnf(matrix-3946, plain, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | ~hBOOL(hAPP(_u9154, skolem173(_u9158, _u9156, _u9154))) | ( _u9158 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem172(_u9158, _u9156, _u9154)), _u9158)) )).
% 39.91/40.13 cnf(matrix-3947, plain, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | ~hBOOL(hAPP(_u9154, skolem173(_u9158, _u9156, _u9154))) | ( _u9158 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9156 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9158), skolem171(_u9158, _u9156, _u9154))), skolem172(_u9158, _u9156, _u9154))) )).
% 39.91/40.13 cnf(matrix-3948, plain, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | ~hBOOL(hAPP(_u9154, skolem173(_u9158, _u9156, _u9154))) | ( _u9158 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u9154, skolem171(_u9158, _u9156, _u9154))) )).
% 39.91/40.13 cnf(matrix-3949, plain, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9158), skolem174(_u9158, _u9156, _u9154))) | ~hBOOL(hAPP(_u9154, 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)), _u9158)) )).
% 39.91/40.13 cnf(matrix-3950, plain, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9158), skolem174(_u9158, _u9156, _u9154))) | ~hBOOL(hAPP(_u9154, 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)), skolem172(_u9158, _u9156, _u9154))) )).
% 39.91/40.13 cnf(matrix-3951, plain, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9158), skolem174(_u9158, _u9156, _u9154))) | ~hBOOL(hAPP(_u9154, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem172(_u9158, _u9156, _u9154)), _u9158)) )).
% 39.91/40.13 cnf(matrix-3952, plain, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9158), skolem174(_u9158, _u9156, _u9154))) | ~hBOOL(hAPP(_u9154, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9156 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9158), skolem171(_u9158, _u9156, _u9154))), skolem172(_u9158, _u9156, _u9154))) )).
% 39.91/40.13 cnf(matrix-3953, plain, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9158), skolem174(_u9158, _u9156, _u9154))) | ~hBOOL(hAPP(_u9154, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9154, skolem171(_u9158, _u9156, _u9154))) )).
% 39.91/40.13 cnf(matrix-3954, plain, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem174(_u9158, _u9156, _u9154)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9154, 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)), _u9158)) )).
% 39.91/40.13 cnf(matrix-3955, plain, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem174(_u9158, _u9156, _u9154)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9154, 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)), skolem172(_u9158, _u9156, _u9154))) )).
% 39.91/40.13 cnf(matrix-3956, plain, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem174(_u9158, _u9156, _u9154)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9154, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem172(_u9158, _u9156, _u9154)), _u9158)) )).
% 39.91/40.13 cnf(matrix-3957, plain, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem174(_u9158, _u9156, _u9154)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9154, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9156 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9158), skolem171(_u9158, _u9156, _u9154))), skolem172(_u9158, _u9156, _u9154))) )).
% 39.91/40.13 cnf(matrix-3958, plain, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem174(_u9158, _u9156, _u9154)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9154, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9154, skolem171(_u9158, _u9156, _u9154))) )).
% 39.91/40.13 cnf(matrix-3959, plain, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | ( _u9156 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9158), skolem173(_u9158, _u9156, _u9154))), skolem174(_u9158, _u9156, _u9154))) | ~hBOOL(hAPP(_u9154, 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)), _u9158)) )).
% 39.91/40.13 cnf(matrix-3960, plain, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | ( _u9156 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9158), skolem173(_u9158, _u9156, _u9154))), skolem174(_u9158, _u9156, _u9154))) | ~hBOOL(hAPP(_u9154, 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)), skolem172(_u9158, _u9156, _u9154))) )).
% 39.91/40.13 cnf(matrix-3961, plain, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | ( _u9156 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9158), skolem173(_u9158, _u9156, _u9154))), skolem174(_u9158, _u9156, _u9154))) | ~hBOOL(hAPP(_u9154, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem172(_u9158, _u9156, _u9154)), _u9158)) )).
% 39.91/40.13 cnf(matrix-3962, plain, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | ( _u9156 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9158), skolem173(_u9158, _u9156, _u9154))), skolem174(_u9158, _u9156, _u9154))) | ~hBOOL(hAPP(_u9154, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9156 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9158), skolem171(_u9158, _u9156, _u9154))), skolem172(_u9158, _u9156, _u9154))) )).
% 39.91/40.13 cnf(matrix-3963, plain, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | ( _u9156 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9158), skolem173(_u9158, _u9156, _u9154))), skolem174(_u9158, _u9156, _u9154))) | ~hBOOL(hAPP(_u9154, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9154, skolem171(_u9158, _u9156, _u9154))) )).
% 39.91/40.13 cnf(matrix-3964, plain, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | ~hBOOL(hAPP(_u9154, skolem173(_u9158, _u9156, _u9154))) | ~hBOOL(hAPP(_u9154, 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)), _u9158)) )).
% 39.91/40.13 cnf(matrix-3965, plain, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | ~hBOOL(hAPP(_u9154, skolem173(_u9158, _u9156, _u9154))) | ~hBOOL(hAPP(_u9154, 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)), skolem172(_u9158, _u9156, _u9154))) )).
% 39.91/40.13 cnf(matrix-3966, plain, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | ~hBOOL(hAPP(_u9154, skolem173(_u9158, _u9156, _u9154))) | ~hBOOL(hAPP(_u9154, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem172(_u9158, _u9156, _u9154)), _u9158)) )).
% 39.91/40.13 cnf(matrix-3967, plain, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | ~hBOOL(hAPP(_u9154, skolem173(_u9158, _u9156, _u9154))) | ~hBOOL(hAPP(_u9154, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9156 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9158), skolem171(_u9158, _u9156, _u9154))), skolem172(_u9158, _u9156, _u9154))) )).
% 39.91/40.13 cnf(matrix-3968, plain, ( hBOOL(hAPP(_u9154, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9156), _u9158))) | ~hBOOL(hAPP(_u9154, skolem173(_u9158, _u9156, _u9154))) | ~hBOOL(hAPP(_u9154, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9154, skolem171(_u9158, _u9156, _u9154))) )).
% 39.91/40.13 cnf(matrix-3969, plain, ( ~class_Orderings_Olinorder(_u9159) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9159), _u9160)) | hBOOL(hAPP(hAPP(c_member(_u9159), _u9161), _u9160)) | ( _u9160 = c_Orderings_Obot__class_Obot(tc_fun(_u9159, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u9159, c_Orderings_Oord__class_Omin(_u9159), hAPP(hAPP(c_Set_Oinsert(_u9159), _u9161), _u9160)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9159), _u9161), c_Big__Operators_Olattice_OInf__fin(_u9159, c_Orderings_Oord__class_Omin(_u9159), _u9160))) )).
% 39.91/40.13 cnf(matrix-3970, plain, ( ~class_Orderings_Olinorder(_u9162) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9162), _u9163), _u9164)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9162), _u9164), _u9165)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9162, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u9162, _u9163, _u9164)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u9162, _u9164), _u9165)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u9162, _u9163, _u9165)) )).
% 39.91/40.13 cnf(matrix-3971, plain, ( ~class_Orderings_Olinorder(_u9166) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9166), _u9167)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9166, tc_HOL_Obool)), _u9167), hAPP(hAPP(c_Set_Oinsert(_u9166), _u9168), c_Orderings_Obot__class_Obot(tc_fun(_u9166, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u9166, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u9166, c_Orderings_Oord__class_Omin(_u9166), hAPP(hAPP(c_Set_Oinsert(_u9166), _u9168), _u9167)) = _u9168) )).
% 39.91/40.13 cnf(matrix-3972, plain, ( ~class_Orderings_Olinorder(_u9166) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9166), _u9167)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9166, tc_HOL_Obool)), _u9167), hAPP(hAPP(c_Set_Oinsert(_u9166), _u9168), c_Orderings_Obot__class_Obot(tc_fun(_u9166, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u9166, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u9166, c_Orderings_Oord__class_Omin(_u9166), hAPP(hAPP(c_Set_Oinsert(_u9166), _u9168), _u9167)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9166), _u9168), c_Big__Operators_Olattice_OInf__fin(_u9166, c_Orderings_Oord__class_Omin(_u9166), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9166, tc_HOL_Obool)), _u9167), hAPP(hAPP(c_Set_Oinsert(_u9166), _u9168), c_Orderings_Obot__class_Obot(tc_fun(_u9166, tc_HOL_Obool))))))) )).
% 39.91/40.13 cnf(matrix-3973, plain, ( ~class_Orderings_Olinorder(_u9169) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9169), _u9170)) | ( _u9170 = c_Orderings_Obot__class_Obot(tc_fun(_u9169, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9169), _u9171)) | ( _u9171 = c_Orderings_Obot__class_Obot(tc_fun(_u9169, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9169, tc_HOL_Obool)), _u9170), _u9171) != c_Orderings_Obot__class_Obot(tc_fun(_u9169, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u9169, c_Orderings_Oord__class_Omin(_u9169), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9169, tc_HOL_Obool)), _u9170), _u9171)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9169), c_Big__Operators_Olattice_OInf__fin(_u9169, c_Orderings_Oord__class_Omin(_u9169), _u9170)), c_Big__Operators_Olattice_OInf__fin(_u9169, c_Orderings_Oord__class_Omin(_u9169), _u9171))) )).
% 39.91/40.13 cnf(matrix-3974, plain, ( ~class_Orderings_Olinorder(_u9172) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9172), _u9173)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9172), _u9174)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9172, tc_HOL_Obool)), _u9173), _u9174) = c_Orderings_Obot__class_Obot(tc_fun(_u9172, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9172), c_Big__Operators_Olattice_OInf__fin(_u9172, c_Orderings_Oord__class_Omin(_u9172), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9172, tc_HOL_Obool)), _u9173), _u9174))), c_Big__Operators_Olattice_OInf__fin(_u9172, c_Orderings_Oord__class_Omin(_u9172), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9172, tc_HOL_Obool)), _u9173), _u9174))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9172), c_Big__Operators_Olattice_OInf__fin(_u9172, c_Orderings_Oord__class_Omin(_u9172), _u9173)), c_Big__Operators_Olattice_OInf__fin(_u9172, c_Orderings_Oord__class_Omin(_u9172), _u9174))) )).
% 39.91/40.13 cnf(matrix-3975, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OWhile(_u9175, _u9176)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), _u9176)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 39.91/40.13 cnf(matrix-3976, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OCond(_u9177, _u9178, _u9179)) = 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), _u9178)), hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), _u9179))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 39.91/40.13 cnf(matrix-3977, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OLocal(_u9180, _u9181, _u9182)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), _u9182)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 39.91/40.13 cnf(matrix-3978, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9185)) | ( c_SMT_Oz3div(_u9187, _u9185) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9187), _u9185)) )).
% 39.91/40.13 cnf(matrix-3979, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9186)) | ( c_SMT_Oz3div(_u9188, _u9186) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9188), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9186)))) )).
% 39.91/40.13 cnf(matrix-3980, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9191), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u9193, _u9191) = c_Nitpick_Onorm__frac(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9193), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9191))) )).
% 39.91/40.13 cnf(matrix-3981, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9192), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u9194, _u9192) = 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))) | ( _u9194 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 39.91/40.13 cnf(matrix-3982, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9192), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u9194, _u9192) = 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))) | ( _u9192 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 39.91/40.13 cnf(matrix-3983, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9192), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9194 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9192 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Nitpick_Onorm__frac(_u9194, _u9192) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), hAPP(hAPP(c_Nitpick_Oint__gcd, _u9194), _u9192)), 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), _u9194))), hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9192)))) )).
% 39.91/40.13 cnf(matrix-3984, plain, ( ~class_Orderings_Olinorder(_u9197) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9197), _u9198)) | ( _u9198 = c_Orderings_Obot__class_Obot(tc_fun(_u9197, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u9197), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9197), skolem175(_u9198, _u9197)), skolem176(_u9198, _u9197))), hAPP(hAPP(c_Set_Oinsert(_u9197), skolem175(_u9198, _u9197)), hAPP(hAPP(c_Set_Oinsert(_u9197), skolem176(_u9198, _u9197)), c_Orderings_Obot__class_Obot(tc_fun(_u9197, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u9197), c_Big__Operators_Olattice_OInf__fin(_u9197, c_Orderings_Oord__class_Omin(_u9197), _u9198)), _u9198)) )).
% 39.91/40.13 cnf(matrix-3985, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u9199, _u9200), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u9201), _u9202))) | ( _u9200 = 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)), _u9203)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u9199, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9200), _u9203)), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9201), _u9203)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9200), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9201, _u9203))), _u9202)))) )).
% 39.91/40.13 cnf(matrix-3986, plain, ( ~class_Orderings_Olinorder(_u9204) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9204), _u9205)) | ( _u9205 = c_Orderings_Obot__class_Obot(tc_fun(_u9204, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9204), _u9206), c_Big__Operators_Olattice_OInf__fin(_u9204, c_Orderings_Oord__class_Omin(_u9204), _u9205)) = c_Big__Operators_Olattice_OInf__fin(_u9204, c_Orderings_Oord__class_Omin(_u9204), hAPP(c_Set_OCollect(_u9204), hAPP(hAPP(c_COMBB(tc_fun(_u9204, tc_HOL_Obool), tc_HOL_Obool, _u9204), c_HOL_OEx(_u9204)), hAPP(hAPP(c_COMBC(_u9204, tc_fun(_u9204, tc_HOL_Obool), tc_fun(_u9204, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9204, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u9204, tc_HOL_Obool), tc_fun(_u9204, tc_HOL_Obool)), _u9204), c_COMBS(_u9204, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9204, tc_HOL_Obool), tc_fun(_u9204, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u9204), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9204), c_fconj)), hAPP(hAPP(c_COMBC(_u9204, tc_fun(_u9204, _u9204), tc_fun(_u9204, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9204, tc_HOL_Obool), tc_fun(tc_fun(_u9204, _u9204), tc_fun(_u9204, tc_HOL_Obool)), _u9204), c_COMBB(_u9204, tc_HOL_Obool, _u9204)), c_fequal)), hAPP(c_Orderings_Oord__class_Omax(_u9204), _u9206))))), hAPP(hAPP(c_COMBC(_u9204, tc_fun(_u9204, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9204)), _u9205)))))) )).
% 39.91/40.13 cnf(matrix-3987, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9207), _u9208)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9207), _u9209)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9208), _u9209))) )).
% 39.91/40.13 cnf(matrix-3988, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9210), _u9211)), _u9210)) )).
% 39.91/40.13 cnf(matrix-3989, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9212), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9213), _u9214)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9212), _u9213)), _u9214)) )).
% 39.91/40.13 cnf(matrix-3990, plain, ( ~class_Orderings_Olinorder(_u9215) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9215), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9215), _u9216), _u9217)), _u9218) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9215), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9215), _u9216), _u9218)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9215), _u9217), _u9218))) )).
% 39.91/40.13 cnf(matrix-3991, plain, ( ~class_Orderings_Olinorder(_u9219) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9219), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9219), _u9220), _u9221)), _u9222) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9219), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9219), _u9220), _u9222)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9219), _u9221), _u9222))) )).
% 39.91/40.13 cnf(matrix-3992, plain, ( ~class_Orderings_Olinorder(_u9223) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9223), _u9224), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9223), _u9225), _u9226)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9223), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9223), _u9224), _u9225)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9223), _u9224), _u9226))) )).
% 39.91/40.13 cnf(matrix-3993, plain, ( ~class_Orderings_Olinorder(_u9227) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9227), _u9228), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9227), _u9229), _u9230)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9227), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9227), _u9228), _u9229)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9227), _u9228), _u9230))) )).
% 39.91/40.13 cnf(matrix-3994, plain, ( ~class_Orderings_Olinorder(_u9231) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9231), _u9232), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9231), _u9232), _u9233)) = _u9232) )).
% 39.91/40.13 cnf(matrix-3995, plain, ( ~class_Orderings_Olinorder(_u9234) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9234), _u9235), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9234), _u9235), _u9236)) = _u9235) )).
% 39.91/40.13 cnf(matrix-3996, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u9237) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9237), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9237), _u9238), _u9239)), _u9240) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9237), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9237), _u9238), _u9240)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9237), _u9239), _u9240))) )).
% 39.91/40.13 cnf(matrix-3997, plain, ( ~class_Groups_Oordered__ab__group__add(_u9241) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9241), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9241), _u9242), _u9243)), _u9244) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9241), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9241), _u9242), _u9244)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9241), _u9243), _u9244))) )).
% 39.91/40.13 cnf(matrix-3998, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u9245), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u9245) )).
% 39.91/40.13 cnf(matrix-3999, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9246) = _u9246) )).
% 39.91/40.13 cnf(matrix-4000, plain, ( ~class_Orderings_Olinorder(_u9247) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9247), _u9248), _u9248) = _u9248) )).
% 39.91/40.13 cnf(matrix-4001, plain, ( ~class_Orderings_Olinorder(_u9249) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9249), _u9250), _u9251) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9249), _u9251), _u9250)) )).
% 39.91/40.13 cnf(matrix-4002, plain, ( ~class_Orderings_Olinorder(_u9252) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9252), _u9253), _u9254) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9252), _u9254), _u9253)) )).
% 39.91/40.13 cnf(matrix-4003, plain, ( ~class_Orderings_Olinorder(_u9255) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9255), _u9256), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9255), _u9256), _u9257)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9255), _u9256), _u9257)) )).
% 39.91/40.13 cnf(matrix-4004, plain, ( ~class_Orderings_Olinorder(_u9258) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9258), _u9259), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9258), _u9259), _u9260)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9258), _u9259), _u9260)) )).
% 39.91/40.13 cnf(matrix-4005, plain, ( ~class_Orderings_Olinorder(_u9261) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9261), _u9262), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9261), _u9263), _u9264)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9261), _u9263), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9261), _u9262), _u9264))) )).
% 39.91/40.13 cnf(matrix-4006, plain, ( ~class_Orderings_Olinorder(_u9265) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9265), _u9266), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9265), _u9267), _u9268)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9265), _u9267), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9265), _u9266), _u9268))) )).
% 39.91/40.13 cnf(matrix-4007, plain, ( ~class_Orderings_Olinorder(_u9269) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9269), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9269), _u9270), _u9271)), _u9272) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9269), _u9270), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9269), _u9271), _u9272))) )).
% 39.91/40.13 cnf(matrix-4008, plain, ( ~class_Orderings_Olinorder(_u9273) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9273), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9273), _u9274), _u9275)), _u9276) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9273), _u9274), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9273), _u9275), _u9276))) )).
% 39.91/40.13 cnf(matrix-4009, plain, ( ~class_Orderings_Olinorder(_u9277) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9277), _u9278), _u9278) = _u9278) )).
% 39.91/40.13 cnf(matrix-4010, 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))) )).
% 39.91/40.13 cnf(matrix-4011, plain, ( ~class_Divides_Osemiring__div(_u9281) | ( c_Divides_Odiv__class_Omod(_u9281, c_Divides_Odiv__class_Omod(_u9281, _u9282, _u9283), _u9283) = c_Divides_Odiv__class_Omod(_u9281, _u9282, _u9283)) )).
% 39.91/40.13 cnf(matrix-4012, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9284, _u9284) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 39.91/40.13 cnf(matrix-4013, plain, ( ~class_Divides_Osemiring__div(_u9285) | ( c_Divides_Odiv__class_Omod(_u9285, _u9286, _u9286) = c_Groups_Ozero__class_Ozero(_u9285)) )).
% 39.91/40.13 cnf(matrix-4014, plain, ( ~class_Divides_Osemiring__div(_u9287) | ( c_Divides_Odiv__class_Omod(_u9287, _u9288, c_Groups_Ozero__class_Ozero(_u9287)) = _u9288) )).
% 39.91/40.13 cnf(matrix-4015, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u9289) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 39.91/40.13 cnf(matrix-4016, plain, ( ~class_Divides_Osemiring__div(_u9290) | ( c_Divides_Odiv__class_Omod(_u9290, c_Groups_Ozero__class_Ozero(_u9290), _u9291) = c_Groups_Ozero__class_Ozero(_u9290)) )).
% 39.91/40.13 cnf(matrix-4017, plain, ( ~class_Divides_Osemiring__div(_u9292) | ( c_Divides_Odiv__class_Omod(_u9292, _u9293, _u9294) != c_Divides_Odiv__class_Omod(_u9292, _u9295, _u9294)) | ( c_Divides_Odiv__class_Omod(_u9292, _u9296, _u9294) != c_Divides_Odiv__class_Omod(_u9292, _u9297, _u9294)) | ( c_Divides_Odiv__class_Omod(_u9292, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9292), _u9293), _u9296), _u9294) = c_Divides_Odiv__class_Omod(_u9292, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9292), _u9295), _u9297), _u9294)) )).
% 39.91/40.13 cnf(matrix-4018, plain, ( ~class_Divides_Osemiring__div(_u9298) | ( c_Divides_Odiv__class_Omod(_u9298, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9298), c_Divides_Odiv__class_Omod(_u9298, _u9299, _u9300)), _u9301), _u9300) = c_Divides_Odiv__class_Omod(_u9298, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9298), _u9299), _u9301), _u9300)) )).
% 39.91/40.13 cnf(matrix-4019, plain, ( ~class_Divides_Osemiring__div(_u9302) | ( c_Divides_Odiv__class_Omod(_u9302, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9302), _u9303), _u9304), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9302), _u9305), _u9304)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9302), c_Divides_Odiv__class_Omod(_u9302, _u9303, _u9305)), _u9304)) )).
% 39.91/40.13 cnf(matrix-4020, plain, ( ~class_Divides_Osemiring__div(_u9306) | ( c_Divides_Odiv__class_Omod(_u9306, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9306), _u9307), _u9308), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9306), _u9307), _u9309)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9306), _u9307), c_Divides_Odiv__class_Omod(_u9306, _u9308, _u9309))) )).
% 39.91/40.13 cnf(matrix-4021, plain, ( ~class_Divides_Osemiring__div(_u9310) | ( c_Divides_Odiv__class_Omod(_u9310, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9310), _u9311), _u9312), _u9313) = c_Divides_Odiv__class_Omod(_u9310, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9310), c_Divides_Odiv__class_Omod(_u9310, _u9311, _u9313)), c_Divides_Odiv__class_Omod(_u9310, _u9312, _u9313)), _u9313)) )).
% 39.91/40.13 cnf(matrix-4022, plain, ( ~class_Divides_Osemiring__div(_u9314) | ( c_Divides_Odiv__class_Omod(_u9314, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9314), _u9315), _u9316), _u9317) = c_Divides_Odiv__class_Omod(_u9314, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9314), c_Divides_Odiv__class_Omod(_u9314, _u9315, _u9317)), _u9316), _u9317)) )).
% 39.91/40.13 cnf(matrix-4023, plain, ( ~class_Divides_Osemiring__div(_u9318) | ( c_Divides_Odiv__class_Omod(_u9318, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9318), _u9319), _u9320), _u9321) = c_Divides_Odiv__class_Omod(_u9318, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9318), _u9319), c_Divides_Odiv__class_Omod(_u9318, _u9320, _u9321)), _u9321)) )).
% 39.91/40.13 cnf(matrix-4024, plain, ( ~class_Divides_Osemiring__div(_u9322) | ( c_Divides_Odiv__class_Omod(_u9322, _u9323, _u9324) != c_Divides_Odiv__class_Omod(_u9322, _u9325, _u9324)) | ( c_Divides_Odiv__class_Omod(_u9322, _u9326, _u9324) != c_Divides_Odiv__class_Omod(_u9322, _u9327, _u9324)) | ( c_Divides_Odiv__class_Omod(_u9322, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9322), _u9323), _u9326), _u9324) = c_Divides_Odiv__class_Omod(_u9322, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9322), _u9325), _u9327), _u9324)) )).
% 39.91/40.13 cnf(matrix-4025, plain, ( ~class_Divides_Osemiring__div(_u9328) | ( c_Divides_Odiv__class_Omod(_u9328, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9328), c_Divides_Odiv__class_Omod(_u9328, _u9329, _u9330)), _u9331), _u9330) = c_Divides_Odiv__class_Omod(_u9328, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9328), _u9329), _u9331), _u9330)) )).
% 39.91/40.13 cnf(matrix-4026, plain, ( ~class_Divides_Osemiring__div(_u9332) | ( c_Divides_Odiv__class_Omod(_u9332, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9332), _u9333), c_Divides_Odiv__class_Omod(_u9332, _u9334, _u9335)), _u9335) = c_Divides_Odiv__class_Omod(_u9332, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9332), _u9333), _u9334), _u9335)) )).
% 39.91/40.14 cnf(matrix-4027, plain, ( ~class_Divides_Osemiring__div(_u9336) | ( c_Divides_Odiv__class_Omod(_u9336, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9336), _u9337), _u9338), _u9339) = c_Divides_Odiv__class_Omod(_u9336, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9336), c_Divides_Odiv__class_Omod(_u9336, _u9337, _u9339)), c_Divides_Odiv__class_Omod(_u9336, _u9338, _u9339)), _u9339)) )).
% 39.91/40.14 cnf(matrix-4028, plain, ( ~class_Divides_Osemiring__div(_u9340) | ( c_Divides_Odiv__class_Omod(_u9340, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9340), _u9341), _u9342), _u9343) = c_Divides_Odiv__class_Omod(_u9340, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9340), c_Divides_Odiv__class_Omod(_u9340, _u9341, _u9343)), _u9342), _u9343)) )).
% 39.91/40.14 cnf(matrix-4029, plain, ( ~class_Divides_Osemiring__div(_u9344) | ( c_Divides_Odiv__class_Omod(_u9344, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9344), _u9345), _u9346), _u9347) = c_Divides_Odiv__class_Omod(_u9344, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9344), _u9345), c_Divides_Odiv__class_Omod(_u9344, _u9346, _u9347)), _u9347)) )).
% 39.91/40.14 cnf(matrix-4030, plain, ( ~class_Divides_Osemiring__div(_u9348) | ( c_Divides_Odiv__class_Omod(_u9348, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9348), _u9349), _u9350), _u9349) = c_Divides_Odiv__class_Omod(_u9348, _u9350, _u9349)) )).
% 39.91/40.14 cnf(matrix-4031, plain, ( ~class_Divides_Osemiring__div(_u9351) | ( c_Divides_Odiv__class_Omod(_u9351, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9351), _u9352), _u9353), _u9353) = c_Divides_Odiv__class_Omod(_u9351, _u9352, _u9353)) )).
% 39.91/40.14 cnf(matrix-4032, plain, ( ~class_Divides_Oring__div(_u9354) | ( c_Divides_Odiv__class_Omod(_u9354, _u9355, _u9356) != c_Divides_Odiv__class_Omod(_u9354, _u9357, _u9356)) | ( c_Divides_Odiv__class_Omod(_u9354, hAPP(c_Groups_Ouminus__class_Ouminus(_u9354), _u9355), _u9356) = c_Divides_Odiv__class_Omod(_u9354, hAPP(c_Groups_Ouminus__class_Ouminus(_u9354), _u9357), _u9356)) )).
% 39.91/40.14 cnf(matrix-4033, plain, ( ~class_Divides_Oring__div(_u9358) | ( c_Divides_Odiv__class_Omod(_u9358, hAPP(c_Groups_Ouminus__class_Ouminus(_u9358), _u9359), _u9360) = c_Divides_Odiv__class_Omod(_u9358, hAPP(c_Groups_Ouminus__class_Ouminus(_u9358), c_Divides_Odiv__class_Omod(_u9358, _u9359, _u9360)), _u9360)) )).
% 39.91/40.14 cnf(matrix-4034, plain, ( ~class_Divides_Oring__div(_u9361) | ( c_Divides_Odiv__class_Omod(_u9361, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9361), _u9362), _u9363), _u9364) = c_Divides_Odiv__class_Omod(_u9361, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9361), _u9362), c_Divides_Odiv__class_Omod(_u9361, _u9363, _u9364)), _u9364)) )).
% 39.91/40.14 cnf(matrix-4035, plain, ( ~class_Divides_Oring__div(_u9365) | ( c_Divides_Odiv__class_Omod(_u9365, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9365), _u9366), _u9367), _u9368) = c_Divides_Odiv__class_Omod(_u9365, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9365), c_Divides_Odiv__class_Omod(_u9365, _u9366, _u9368)), _u9367), _u9368)) )).
% 39.91/40.14 cnf(matrix-4036, plain, ( ~class_Divides_Oring__div(_u9369) | ( c_Divides_Odiv__class_Omod(_u9369, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9369), _u9370), _u9371), _u9372) = c_Divides_Odiv__class_Omod(_u9369, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9369), c_Divides_Odiv__class_Omod(_u9369, _u9370, _u9372)), c_Divides_Odiv__class_Omod(_u9369, _u9371, _u9372)), _u9372)) )).
% 39.91/40.14 cnf(matrix-4037, plain, ( ~class_Divides_Oring__div(_u9373) | ( c_Divides_Odiv__class_Omod(_u9373, _u9374, _u9375) != c_Divides_Odiv__class_Omod(_u9373, _u9376, _u9375)) | ( c_Divides_Odiv__class_Omod(_u9373, _u9377, _u9375) != c_Divides_Odiv__class_Omod(_u9373, _u9378, _u9375)) | ( c_Divides_Odiv__class_Omod(_u9373, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9373), _u9374), _u9377), _u9375) = c_Divides_Odiv__class_Omod(_u9373, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9373), _u9376), _u9378), _u9375)) )).
% 39.91/40.14 cnf(matrix-4038, plain, ( ~class_Orderings_Olinorder(_u9379) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9379), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9379), _u9380), _u9381)), _u9382)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9379), _u9380), _u9382)) )).
% 39.91/40.14 cnf(matrix-4039, plain, ( ~class_Orderings_Olinorder(_u9379) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9379), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9379), _u9380), _u9381)), _u9382)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9379), _u9381), _u9382)) )).
% 39.91/40.14 cnf(matrix-4040, plain, ( ~class_Orderings_Olinorder(_u9379) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9379), _u9380), _u9382)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9379), _u9381), _u9382)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9379), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9379), _u9380), _u9381)), _u9382)) )).
% 39.91/40.14 cnf(matrix-4041, plain, ( ~class_Orderings_Olinorder(_u9383) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9383), _u9384), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9383), _u9385), _u9386))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9383), _u9384), _u9385)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9383), _u9384), _u9386)) )).
% 39.91/40.14 cnf(matrix-4042, plain, ( ~class_Orderings_Olinorder(_u9383) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9383), _u9384), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9383), _u9385), _u9386))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9383), _u9384), _u9385)) )).
% 39.91/40.14 cnf(matrix-4043, plain, ( ~class_Orderings_Olinorder(_u9383) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9383), _u9384), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9383), _u9385), _u9386))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9383), _u9384), _u9386)) )).
% 39.91/40.14 cnf(matrix-4044, plain, ( ~class_Orderings_Olinorder(_u9387) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9387), _u9388), _u9389)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9387), _u9388), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9387), _u9390), _u9389))) )).
% 39.91/40.14 cnf(matrix-4045, plain, ( ~class_Orderings_Olinorder(_u9391) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9391), _u9392), _u9393)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9391), _u9392), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9391), _u9393), _u9394))) )).
% 39.91/40.14 cnf(matrix-4046, plain, ( ~class_Orderings_Olinorder(_u9395) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9395), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9395), _u9396), _u9397)), _u9398)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9395), _u9396), _u9398)) )).
% 39.91/40.14 cnf(matrix-4047, plain, ( ~class_Orderings_Olinorder(_u9395) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9395), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9395), _u9396), _u9397)), _u9398)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9395), _u9397), _u9398)) )).
% 39.91/40.14 cnf(matrix-4048, plain, ( ~class_Orderings_Olinorder(_u9399) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9399), _u9400), _u9401)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9399), _u9402), _u9403)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9399), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9399), _u9400), _u9402)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9399), _u9401), _u9403))) )).
% 39.91/40.14 cnf(matrix-4049, plain, ( ~class_Orderings_Olinorder(_u9404) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9404), _u9405), _u9406)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9404), _u9407), _u9406)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9404), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9404), _u9405), _u9407)), _u9406)) )).
% 39.91/40.14 cnf(matrix-4050, plain, ( ~class_Orderings_Olinorder(_u9408) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9408), _u9409), _u9410)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9408), _u9411), _u9410)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9408), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9408), _u9409), _u9411)), _u9410)) )).
% 39.91/40.14 cnf(matrix-4051, plain, ( ~class_Orderings_Olinorder(_u9412) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9412), _u9413), _u9414)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9412), _u9414), _u9413) = _u9414) )).
% 39.91/40.14 cnf(matrix-4052, plain, ( ~class_Orderings_Olinorder(_u9415) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9415), _u9416), _u9417)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9415), _u9416), _u9417) = _u9417) )).
% 39.91/40.14 cnf(matrix-4053, plain, ( ~class_Orderings_Olinorder(_u9418) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9418), _u9419), _u9420)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9418), _u9419), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9418), _u9421), _u9420))) )).
% 39.91/40.14 cnf(matrix-4054, plain, ( ~class_Orderings_Olinorder(_u9422) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9422), _u9423), _u9424)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9422), _u9423), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9422), _u9424), _u9425))) )).
% 39.91/40.14 cnf(matrix-4055, plain, ( ~class_Orderings_Olinorder(_u9426) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9426), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9426), _u9427), _u9428)), _u9429)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9426), _u9427), _u9429)) )).
% 39.91/40.14 cnf(matrix-4056, plain, ( ~class_Orderings_Olinorder(_u9426) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9426), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9426), _u9427), _u9428)), _u9429)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9426), _u9428), _u9429)) )).
% 39.91/40.14 cnf(matrix-4057, plain, ( ~class_Orderings_Olinorder(_u9426) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9426), _u9427), _u9429)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9426), _u9428), _u9429)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9426), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9426), _u9427), _u9428)), _u9429)) )).
% 39.91/40.14 cnf(matrix-4058, plain, ( ~class_Orderings_Olinorder(_u9430) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9430), _u9431), _u9432)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9430), _u9431), _u9432) = _u9432) )).
% 39.91/40.14 cnf(matrix-4059, plain, ( ~class_Orderings_Olinorder(_u9430) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9430), _u9431), _u9432) != _u9432) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9430), _u9431), _u9432)) )).
% 39.91/40.14 cnf(matrix-4060, plain, ( ~class_Orderings_Olinorder(_u9433) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9433), _u9434), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9433), _u9435), _u9434))) )).
% 39.91/40.14 cnf(matrix-4061, plain, ( ~class_Orderings_Olinorder(_u9436) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9436), _u9437), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9436), _u9437), _u9438))) )).
% 39.91/40.14 cnf(matrix-4062, plain, ( ~class_Orderings_Olinorder(_u9439) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9439), _u9440), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9439), _u9441), _u9442))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9439), _u9440), _u9441)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9439), _u9440), _u9442)) )).
% 39.91/40.14 cnf(matrix-4063, plain, ( ~class_Orderings_Olinorder(_u9439) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9439), _u9440), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9439), _u9441), _u9442))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9439), _u9440), _u9441)) )).
% 39.91/40.14 cnf(matrix-4064, plain, ( ~class_Orderings_Olinorder(_u9439) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9439), _u9440), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9439), _u9441), _u9442))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9439), _u9440), _u9442)) )).
% 39.91/40.14 cnf(matrix-4065, 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, _u9443, _u9444)), _u9444) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9443), _u9444)) )).
% 39.91/40.14 cnf(matrix-4066, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9445), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9446)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9445, _u9446))) )).
% 39.91/40.14 cnf(matrix-4067, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9447, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9448)) = 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), _u9447), _u9448))) )).
% 39.91/40.14 cnf(matrix-4068, 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, _u9449, _u9450)), _u9451), _u9450) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9449), _u9451), _u9450)) )).
% 39.91/40.14 cnf(matrix-4069, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9452), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9453, _u9454)), _u9454) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9452), _u9453), _u9454)) )).
% 39.91/40.14 cnf(matrix-4070, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9455), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9456, _u9457)), _u9457) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9455), _u9456), _u9457)) )).
% 39.91/40.14 cnf(matrix-4071, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9458), _u9459), _u9460) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9458), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9459, _u9460)), _u9460)) )).
% 39.91/40.14 cnf(matrix-4072, plain, ( ~class_Lattices_Osemilattice__sup(_u9461) | ~class_Orderings_Olinorder(_u9461) | ( c_Lattices_Osemilattice__sup__class_Osup(_u9461) = c_Orderings_Oord__class_Omax(_u9461)) )).
% 39.91/40.14 cnf(matrix-4073, plain, ( ~class_Orderings_Olinorder(_u9462) | ~class_Orderings_Olinorder(_u9463) | ~c_Orderings_Oorder__class_Omono(_u9463, _u9462, _u9464) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9462), hAPP(_u9464, _u9465)), hAPP(_u9464, _u9466)) = hAPP(_u9464, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9463), _u9465), _u9466))) )).
% 39.91/40.14 cnf(matrix-4074, 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, _u9467, _u9468)), _u9469), _u9468) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u9467), _u9469), _u9468)) )).
% 39.91/40.14 cnf(matrix-4075, plain, ( ~class_Orderings_Olinorder(_u9470) | c_Finite__Set_Ofun__left__comm__idem(_u9470, _u9470, c_Orderings_Oord__class_Omax(_u9470)) )).
% 39.91/40.14 cnf(matrix-4076, plain, ( ~class_Divides_Osemiring__div(_u9471) | ( c_Divides_Odiv__class_Omod(_u9471, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9471), _u9472), _u9473), _u9472) = c_Groups_Ozero__class_Ozero(_u9471)) )).
% 39.91/40.14 cnf(matrix-4077, plain, ( ~class_Divides_Osemiring__div(_u9474) | ( c_Divides_Odiv__class_Omod(_u9474, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9474), _u9475), _u9476), _u9476) = c_Groups_Ozero__class_Ozero(_u9474)) )).
% 39.91/40.14 cnf(matrix-4078, plain, ( ~class_Divides_Osemiring__div(_u9477) | ( c_Divides_Odiv__class_Omod(_u9477, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9477), _u9478), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9477), _u9479), _u9480)), _u9480) = c_Divides_Odiv__class_Omod(_u9477, _u9478, _u9480)) )).
% 39.91/40.14 cnf(matrix-4079, plain, ( ~class_Divides_Osemiring__div(_u9481) | ( c_Divides_Odiv__class_Omod(_u9481, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9481), _u9482), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9481), _u9483), _u9484)), _u9483) = c_Divides_Odiv__class_Omod(_u9481, _u9482, _u9483)) )).
% 39.91/40.14 cnf(matrix-4080, plain, ( ~class_Divides_Osemiring__div(_u9485) | ( c_Divides_Odiv__class_Omod(_u9485, _u9486, c_Groups_Oone__class_Oone(_u9485)) = c_Groups_Ozero__class_Ozero(_u9485)) )).
% 39.91/40.14 cnf(matrix-4081, plain, ( ~class_Divides_Osemiring__div(_u9487) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9487), c_Divides_Odiv__class_Omod(_u9487, _u9488, _u9489)), _u9489) = c_Groups_Ozero__class_Ozero(_u9487)) )).
% 39.91/40.14 cnf(matrix-4082, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9490), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = _u9490) )).
% 39.91/40.14 cnf(matrix-4083, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9491), _u9492)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9491), _u9492) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.14 cnf(matrix-4084, plain, ( ( _u9496 != 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), _u9496), _u9498)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9496), _u9500)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.14 cnf(matrix-4085, plain, ( ( _u9497 = 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), _u9497), _u9499)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9497), _u9501)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9499), _u9501)) )).
% 39.91/40.14 cnf(matrix-4086, plain, ( ~class_Orderings_Olinorder(_u9502) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9502), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9502), _u9503), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9502), _u9504), _u9505))), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9502), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9502), _u9503), _u9504)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9502), _u9503), _u9505)))) )).
% 39.91/40.14 cnf(matrix-4087, plain, ( ~class_Orderings_Olinorder(_u9506) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9506), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9506), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9506), _u9507), _u9508)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9506), _u9507), _u9509))), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9506), _u9507), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9506), _u9508), _u9509)))) )).
% 39.91/40.14 cnf(matrix-4088, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9510)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9511)) | 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, _u9510, _u9511))) )).
% 39.91/40.14 cnf(matrix-4089, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9512)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9512, _u9513)), _u9512)) )).
% 39.91/40.14 cnf(matrix-4090, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9514)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9515, _u9514)), _u9514)) )).
% 39.91/40.14 cnf(matrix-4091, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9516), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9516), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9517, _u9516))) )).
% 39.91/40.14 cnf(matrix-4092, plain, ( ~class_Groups_Olinordered__ab__group__add(_u9518) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u9518), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9518), _u9519), _u9520)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9518), hAPP(c_Groups_Ouminus__class_Ouminus(_u9518), _u9519)), hAPP(c_Groups_Ouminus__class_Ouminus(_u9518), _u9520))) )).
% 39.91/40.14 cnf(matrix-4093, plain, ( ~class_Groups_Olinordered__ab__group__add(_u9521) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u9521), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9521), _u9522), _u9523)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9521), hAPP(c_Groups_Ouminus__class_Ouminus(_u9521), _u9522)), hAPP(c_Groups_Ouminus__class_Ouminus(_u9521), _u9523))) )).
% 39.91/40.14 cnf(matrix-4094, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9524), _u9525)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9524)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9525))) )).
% 39.91/40.14 cnf(matrix-4095, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9526)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9527)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9526), _u9527))) )).
% 39.91/40.14 cnf(matrix-4096, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u9528), _u9529)), _u9529) = hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u9528), _u9529)) )).
% 39.91/40.14 cnf(matrix-4097, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9534, _u9536) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9534 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9536), skolem177(_u9536, _u9534))) )).
% 39.91/40.14 cnf(matrix-4098, plain, ( ( _u9535 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9537), _u9531)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9535, _u9537) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 39.91/40.14 cnf(matrix-4099, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9538), _u9539) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9538, _u9539) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 39.91/40.14 cnf(matrix-4100, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9540, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9541)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9540, _u9541) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 39.91/40.14 cnf(matrix-4101, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9542, _u9543)), _u9543) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 39.91/40.14 cnf(matrix-4102, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9545), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 39.91/40.14 cnf(matrix-4103, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9546, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = _u9546) )).
% 39.91/40.14 cnf(matrix-4104, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9547), _u9548)), _u9549) = 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), _u9547), _u9549)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9548), _u9549))), 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, _u9547, _u9549)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9548, _u9549))), _u9549))) )).
% 39.91/40.14 cnf(matrix-4105, plain, ( ~class_Divides_Osemiring__div(_u9550) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9550), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9550), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9550), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9550), _u9551), _u9552)), _u9552)), c_Divides_Odiv__class_Omod(_u9550, _u9551, _u9552))), _u9553) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9550), _u9551), _u9553)) )).
% 39.91/40.14 cnf(matrix-4106, plain, ( ~class_Divides_Osemiring__div(_u9554) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9554), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9554), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9554), _u9555), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9554), _u9556), _u9555))), c_Divides_Odiv__class_Omod(_u9554, _u9556, _u9555))), _u9557) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9554), _u9556), _u9557)) )).
% 39.91/40.14 cnf(matrix-4107, plain, ( ~class_Divides_Osemiring__div(_u9558) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9558), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9558), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9558), _u9559), _u9560)), _u9560)), c_Divides_Odiv__class_Omod(_u9558, _u9559, _u9560)) = _u9559) )).
% 39.91/40.14 cnf(matrix-4108, plain, ( ~class_Divides_Osemiring__div(_u9561) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9561), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9561), _u9562), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9561), _u9563), _u9562))), c_Divides_Odiv__class_Omod(_u9561, _u9563, _u9562)) = _u9563) )).
% 39.91/40.14 cnf(matrix-4109, plain, ( ~class_Divides_Osemiring__div(_u9564) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9564), c_Divides_Odiv__class_Omod(_u9564, _u9565, _u9566)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9564), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9564), _u9565), _u9566)), _u9566)) = _u9565) )).
% 39.91/40.14 cnf(matrix-4110, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9567)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9567), _u9568)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9569), _u9568)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9569), _u9567))) )).
% 39.91/40.14 cnf(matrix-4111, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9570)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9571), _u9570)), _u9570) = _u9571) )).
% 39.91/40.14 cnf(matrix-4112, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9572)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9572), _u9573)), _u9572) = _u9573) )).
% 39.91/40.14 cnf(matrix-4113, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9574)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9574), _u9575)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9574), _u9576)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9575), _u9576)) )).
% 39.91/40.14 cnf(matrix-4114, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u9577)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9578)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9578), _u9577)), _u9578)) )).
% 39.91/40.14 cnf(matrix-4115, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9579)) | 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, _u9580, _u9579))) )).
% 39.91/40.14 cnf(matrix-4116, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9581)) | 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, _u9582, _u9581))) )).
% 39.91/40.14 cnf(matrix-4117, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9581)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9582, _u9581)), _u9581)) )).
% 39.91/40.14 cnf(matrix-4118, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9583)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9583), _u9584)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9583, _u9584) = _u9583) )).
% 39.91/40.14 cnf(matrix-4119, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9585), 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, _u9586, _u9585)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.91/40.14 cnf(matrix-4120, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9587), 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, _u9588, _u9587)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.91/40.14 cnf(matrix-4121, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9587), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9587), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9588, _u9587))) )).
% 39.91/40.14 cnf(matrix-4122, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9589), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9590), _u9589)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9589, _u9590) = _u9589) )).
% 39.91/40.14 cnf(matrix-4123, plain, ( ~class_Orderings_Oord(_u9591) | ( c_Orderings_Oord__class_Omax(_u9591) = c_Orderings_Oord_Omax(_u9591, c_Orderings_Oord__class_Oless__eq(_u9591))) )).
% 39.91/40.14 cnf(matrix-4124, plain, ( ~class_Orderings_Olinorder(_u9592) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9592), _u9593)) | ~hBOOL(hAPP(hAPP(c_member(_u9592), _u9594), _u9593)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9592), _u9594), c_Big__Operators_Olinorder__class_OMax(_u9592, _u9593)) = c_Big__Operators_Olinorder__class_OMax(_u9592, _u9593)) )).
% 39.91/40.14 cnf(matrix-4125, plain, ( ~class_Lattices_Osemilattice__sup(_u9595) | ~class_Orderings_Olinorder(_u9596) | ~c_Orderings_Oorder__class_Omono(_u9596, _u9595, _u9597) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9595), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u9595), hAPP(_u9597, _u9598)), hAPP(_u9597, _u9599))), hAPP(_u9597, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9596), _u9598), _u9599)))) )).
% 39.91/40.14 cnf(matrix-4126, plain, ( ~class_Orderings_Olinorder(_u9600) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9600, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u9600, _u9601), _u9602)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u9600, _u9603), _u9604)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u9600, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9600), _u9601), _u9603)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9600), _u9602), _u9604))) )).
% 39.91/40.14 cnf(matrix-4127, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9607, _u9609) != 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), _u9607), _u9609) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 39.91/40.14 cnf(matrix-4128, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9608, _u9610) = 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), _u9608), _u9610) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9610), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9608, _u9610))) )).
% 39.91/40.14 cnf(matrix-4129, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9613, _u9615) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9613, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9615)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 39.91/40.14 cnf(matrix-4130, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9614, _u9616) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9614, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9616)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9614, _u9616)), _u9616)) )).
% 39.91/40.14 cnf(matrix-4131, 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), _u9617), _u9618)), _u9618)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9617, _u9618))), _u9619) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9617), _u9619)) )).
% 39.91/40.14 cnf(matrix-4132, 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), _u9620), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9621), _u9620))), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9621, _u9620))), _u9622) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9621), _u9622)) )).
% 39.91/40.14 cnf(matrix-4133, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9623), _u9624)), _u9625) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9623), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9624), _u9625))), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9623), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9624, _u9625))), _u9625))) )).
% 39.91/40.14 cnf(matrix-4134, plain, ( ( _u9626 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9627), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9626), _u9627))), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9626, _u9627))) )).
% 39.91/40.14 cnf(matrix-4135, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9628), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9629), _u9628)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9629), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9629, _u9628))) )).
% 39.91/40.14 cnf(matrix-4136, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9630, _u9631) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9630), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9630), _u9631)), _u9631))) )).
% 39.91/40.14 cnf(matrix-4137, plain, ( ~class_Orderings_Olinorder(_u9632) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9632, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u9632, _u9633, _u9634)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u9632, _u9635, _u9636)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u9632, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9632), _u9633), _u9635), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9632), _u9634), _u9636))) )).
% 39.91/40.14 cnf(matrix-4138, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u9637, _u9638), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u9639), _u9640))) | ( _u9638 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9637, _u9638) = _u9640) )).
% 39.91/40.14 cnf(matrix-4139, plain, ( ~class_Orderings_Olinorder(_u9641) | ( c_Orderings_Oord_Omin(_u9641, hAPP(c_COMBC(_u9641, _u9641, tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(_u9641))) = c_Orderings_Oord__class_Omax(_u9641)) )).
% 39.91/40.14 cnf(matrix-4140, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9642)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9643), _u9642)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9643), _u9642) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u9643), _u9642)), _u9642))) )).
% 39.91/40.14 cnf(matrix-4141, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9644)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9645), _u9644)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9645), _u9644) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.14 cnf(matrix-4142, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9644)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9645), _u9644)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9645), _u9644) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u9645), _u9644)), _u9644))) )).
% 39.91/40.14 cnf(matrix-4143, plain, ( ~hBOOL(hAPP(_u9653, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9655), _u9657))) | ( _u9657 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u9653, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 39.91/40.14 cnf(matrix-4144, plain, ( ~hBOOL(hAPP(_u9653, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9655), _u9657))) | ( _u9657 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9646), _u9657)) | ( _u9655 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9657), _u9647)), _u9646)) | hBOOL(hAPP(_u9653, _u9647)) )).
% 39.91/40.14 cnf(matrix-4145, plain, ( hBOOL(hAPP(_u9654, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9656), _u9658))) | ( _u9658 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem179(_u9658, _u9656, _u9654)), _u9658)) )).
% 39.91/40.14 cnf(matrix-4146, plain, ( hBOOL(hAPP(_u9654, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9656), _u9658))) | ( _u9658 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u9656 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9658), skolem178(_u9658, _u9656, _u9654))), skolem179(_u9658, _u9656, _u9654))) )).
% 39.91/40.14 cnf(matrix-4147, plain, ( hBOOL(hAPP(_u9654, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9656), _u9658))) | ( _u9658 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u9654, skolem178(_u9658, _u9656, _u9654))) )).
% 39.91/40.14 cnf(matrix-4148, plain, ( hBOOL(hAPP(_u9654, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9656), _u9658))) | ~hBOOL(hAPP(_u9654, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u9658 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.14 cnf(matrix-4149, plain, ( hBOOL(hAPP(_u9654, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9656), _u9658))) | ~hBOOL(hAPP(_u9654, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem179(_u9658, _u9656, _u9654)), _u9658)) )).
% 39.91/40.14 cnf(matrix-4150, plain, ( hBOOL(hAPP(_u9654, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9656), _u9658))) | ~hBOOL(hAPP(_u9654, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u9656 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9658), skolem178(_u9658, _u9656, _u9654))), skolem179(_u9658, _u9656, _u9654))) )).
% 39.91/40.14 cnf(matrix-4151, plain, ( hBOOL(hAPP(_u9654, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9656), _u9658))) | ~hBOOL(hAPP(_u9654, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u9654, skolem178(_u9658, _u9656, _u9654))) )).
% 39.91/40.14 cnf(matrix-4152, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9659)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9659), _u9660)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9659, _u9660) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9659), _u9660)) )).
% 39.91/40.14 cnf(matrix-4153, plain, ( ~class_Orderings_Olinorder(_u9661) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9661), _u9662)) | ( _u9662 = c_Orderings_Obot__class_Obot(tc_fun(_u9661, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u9661, hAPP(hAPP(c_Set_Oinsert(_u9661), _u9663), _u9662)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9661), _u9663), c_Big__Operators_Olinorder__class_OMax(_u9661, _u9662))) )).
% 39.91/40.14 cnf(matrix-4154, plain, ( ~class_Orderings_Olinorder(_u9664) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9664), _u9665)) | ( _u9666 = c_Orderings_Obot__class_Obot(tc_fun(_u9664, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9664, tc_HOL_Obool)), _u9666), _u9665)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9664), c_Big__Operators_Olinorder__class_OMax(_u9664, _u9666)), c_Big__Operators_Olinorder__class_OMax(_u9664, _u9665)) = c_Big__Operators_Olinorder__class_OMax(_u9664, _u9665)) )).
% 39.91/40.14 cnf(matrix-4155, plain, ( ~class_Orderings_Olinorder(_u9667) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9667), _u9668)) | ~hBOOL(hAPP(hAPP(c_member(_u9667), _u9669), _u9668)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9667), _u9669), c_Big__Operators_Olattice_OInf__fin(_u9667, c_Orderings_Oord__class_Omin(_u9667), _u9668)) = _u9669) )).
% 39.91/40.14 cnf(matrix-4156, plain, ( ~class_Orderings_Olinorder(_u9670) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9670), _u9671)) | ( _u9671 = c_Orderings_Obot__class_Obot(tc_fun(_u9670, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9670), _u9672)) | ( _u9672 = c_Orderings_Obot__class_Obot(tc_fun(_u9670, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u9670, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9670, tc_HOL_Obool)), _u9671), _u9672)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9670), c_Big__Operators_Olinorder__class_OMax(_u9670, _u9671)), c_Big__Operators_Olinorder__class_OMax(_u9670, _u9672))) )).
% 39.91/40.14 cnf(matrix-4157, plain, ( ( _u9673 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u9674, _u9673), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9674), _u9673)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9674, _u9673)))) )).
% 39.91/40.14 cnf(matrix-4158, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9675)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9675), _u9676)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9676), _u9675) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u9676), _u9675)), _u9675))) )).
% 39.91/40.14 cnf(matrix-4159, plain, ( ~hBOOL(hAPP(_u9682, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9684), _u9686))) | ( _u9686 = 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), _u9686), skolem180(_u9686, _u9684, _u9682))), _u9684)) )).
% 39.91/40.14 cnf(matrix-4160, plain, ( ~hBOOL(hAPP(_u9682, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9684), _u9686))) | ( _u9686 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9684), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9686), hAPP(c_Nat_OSuc, skolem180(_u9686, _u9684, _u9682))))) )).
% 39.91/40.14 cnf(matrix-4161, plain, ( ~hBOOL(hAPP(_u9682, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9684), _u9686))) | ( _u9686 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u9682, skolem180(_u9686, _u9684, _u9682))) )).
% 39.91/40.14 cnf(matrix-4162, plain, ( ~hBOOL(hAPP(_u9682, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9684), _u9686))) | hBOOL(hAPP(_u9682, 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), _u9686), skolem180(_u9686, _u9684, _u9682))), _u9684)) )).
% 39.91/40.14 cnf(matrix-4163, plain, ( ~hBOOL(hAPP(_u9682, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9684), _u9686))) | hBOOL(hAPP(_u9682, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9684), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9686), hAPP(c_Nat_OSuc, skolem180(_u9686, _u9684, _u9682))))) )).
% 39.91/40.14 cnf(matrix-4164, plain, ( ~hBOOL(hAPP(_u9682, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9684), _u9686))) | hBOOL(hAPP(_u9682, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(_u9682, skolem180(_u9686, _u9684, _u9682))) )).
% 39.91/40.14 cnf(matrix-4165, plain, ( hBOOL(hAPP(_u9683, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9685), _u9687))) | ( _u9687 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u9683, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 39.91/40.14 cnf(matrix-4166, plain, ( hBOOL(hAPP(_u9683, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9685), _u9687))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9687), _u9678)), _u9685)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9685), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9687), hAPP(c_Nat_OSuc, _u9678)))) | ~hBOOL(hAPP(_u9683, _u9678)) )).
% 39.91/40.14 cnf(matrix-4167, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9688)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9688), _u9689)), _u9690)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9690), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9688), hAPP(c_Nat_OSuc, _u9689)))) | ( _u9689 = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9690), _u9688)) )).
% 39.91/40.14 cnf(matrix-4168, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9688)) | ( _u9689 != hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9690), _u9688)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9688), _u9689)), _u9690)) )).
% 39.91/40.14 cnf(matrix-4169, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9688)) | ( _u9689 != hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9690), _u9688)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9690), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9688), hAPP(c_Nat_OSuc, _u9689)))) )).
% 39.91/40.14 cnf(matrix-4170, plain, ( ~class_Orderings_Olinorder(_u9691) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9691), _u9692)) | hBOOL(hAPP(hAPP(c_member(_u9691), _u9693), _u9692)) | ( _u9692 = c_Orderings_Obot__class_Obot(tc_fun(_u9691, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u9691, hAPP(hAPP(c_Set_Oinsert(_u9691), _u9693), _u9692)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9691), _u9693), c_Big__Operators_Olinorder__class_OMax(_u9691, _u9692))) )).
% 39.91/40.14 cnf(matrix-4171, plain, ( ~hBOOL(hAPP(_u9705, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9707, _u9709))) | ( _u9709 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(_u9705, _u9707)) )).
% 39.91/40.14 cnf(matrix-4172, plain, ( ~hBOOL(hAPP(_u9705, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9707, _u9709))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9709)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9694)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9694), _u9709)) | ( _u9707 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9709), _u9695)), _u9694)) | hBOOL(hAPP(_u9705, _u9694)) )).
% 39.91/40.14 cnf(matrix-4173, plain, ( ~hBOOL(hAPP(_u9705, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9707, _u9709))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9709), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9709), _u9696)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9696), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9707 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9709), _u9697)), _u9696)) | hBOOL(hAPP(_u9705, _u9696)) )).
% 39.91/40.14 cnf(matrix-4174, plain, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9710), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9710 = 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)), _u9710)) )).
% 39.91/40.14 cnf(matrix-4175, plain, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9710), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9710 = 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)), skolem182(_u9710, _u9708, _u9706))) )).
% 39.91/40.14 cnf(matrix-4176, plain, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9710), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9710 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem182(_u9710, _u9708, _u9706)), _u9710)) )).
% 39.91/40.14 cnf(matrix-4177, plain, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9710), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9710 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9708 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9710), skolem181(_u9710, _u9708, _u9706))), skolem182(_u9710, _u9708, _u9706))) )).
% 39.91/40.14 cnf(matrix-4178, plain, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9710), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9710 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u9706, skolem182(_u9710, _u9708, _u9706))) )).
% 39.91/40.14 cnf(matrix-4179, plain, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9710), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9706, _u9708)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9710)) )).
% 39.91/40.14 cnf(matrix-4180, plain, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9710), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9706, _u9708)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem182(_u9710, _u9708, _u9706))) )).
% 39.91/40.14 cnf(matrix-4181, plain, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9710), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9706, _u9708)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem182(_u9710, _u9708, _u9706)), _u9710)) )).
% 39.91/40.14 cnf(matrix-4182, plain, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9710), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9706, _u9708)) | ( _u9708 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9710), skolem181(_u9710, _u9708, _u9706))), skolem182(_u9710, _u9708, _u9706))) )).
% 39.91/40.14 cnf(matrix-4183, plain, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9710), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9706, _u9708)) | ~hBOOL(hAPP(_u9706, skolem182(_u9710, _u9708, _u9706))) )).
% 39.91/40.14 cnf(matrix-4184, plain, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9710), skolem184(_u9710, _u9708, _u9706))) | ( _u9710 = 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)), _u9710)) )).
% 39.91/40.14 cnf(matrix-4185, plain, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9710), skolem184(_u9710, _u9708, _u9706))) | ( _u9710 = 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)), skolem182(_u9710, _u9708, _u9706))) )).
% 39.91/40.14 cnf(matrix-4186, plain, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9710), skolem184(_u9710, _u9708, _u9706))) | ( _u9710 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem182(_u9710, _u9708, _u9706)), _u9710)) )).
% 39.91/40.14 cnf(matrix-4187, plain, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9710), skolem184(_u9710, _u9708, _u9706))) | ( _u9710 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9708 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9710), skolem181(_u9710, _u9708, _u9706))), skolem182(_u9710, _u9708, _u9706))) )).
% 39.91/40.14 cnf(matrix-4188, plain, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9710), skolem184(_u9710, _u9708, _u9706))) | ( _u9710 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u9706, skolem182(_u9710, _u9708, _u9706))) )).
% 39.91/40.14 cnf(matrix-4189, plain, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem184(_u9710, _u9708, _u9706)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9710 = 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)), _u9710)) )).
% 39.91/40.14 cnf(matrix-4190, plain, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem184(_u9710, _u9708, _u9706)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9710 = 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)), skolem182(_u9710, _u9708, _u9706))) )).
% 39.91/40.14 cnf(matrix-4191, plain, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem184(_u9710, _u9708, _u9706)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9710 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem182(_u9710, _u9708, _u9706)), _u9710)) )).
% 39.91/40.14 cnf(matrix-4192, plain, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem184(_u9710, _u9708, _u9706)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9710 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9708 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9710), skolem181(_u9710, _u9708, _u9706))), skolem182(_u9710, _u9708, _u9706))) )).
% 39.91/40.14 cnf(matrix-4193, plain, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem184(_u9710, _u9708, _u9706)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9710 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u9706, skolem182(_u9710, _u9708, _u9706))) )).
% 39.91/40.14 cnf(matrix-4194, plain, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | ( _u9708 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9710), skolem183(_u9710, _u9708, _u9706))), skolem184(_u9710, _u9708, _u9706))) | ( _u9710 = 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)), _u9710)) )).
% 39.91/40.14 cnf(matrix-4195, plain, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | ( _u9708 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9710), skolem183(_u9710, _u9708, _u9706))), skolem184(_u9710, _u9708, _u9706))) | ( _u9710 = 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)), skolem182(_u9710, _u9708, _u9706))) )).
% 39.91/40.14 cnf(matrix-4196, plain, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | ( _u9708 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9710), skolem183(_u9710, _u9708, _u9706))), skolem184(_u9710, _u9708, _u9706))) | ( _u9710 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem182(_u9710, _u9708, _u9706)), _u9710)) )).
% 39.91/40.14 cnf(matrix-4197, plain, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | ( _u9708 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9710), skolem183(_u9710, _u9708, _u9706))), skolem184(_u9710, _u9708, _u9706))) | ( _u9710 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9708 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9710), skolem181(_u9710, _u9708, _u9706))), skolem182(_u9710, _u9708, _u9706))) )).
% 39.91/40.14 cnf(matrix-4198, plain, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | ( _u9708 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9710), skolem183(_u9710, _u9708, _u9706))), skolem184(_u9710, _u9708, _u9706))) | ( _u9710 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u9706, skolem182(_u9710, _u9708, _u9706))) )).
% 39.91/40.14 cnf(matrix-4199, plain, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | ~hBOOL(hAPP(_u9706, skolem184(_u9710, _u9708, _u9706))) | ( _u9710 = 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)), _u9710)) )).
% 39.91/40.14 cnf(matrix-4200, plain, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | ~hBOOL(hAPP(_u9706, skolem184(_u9710, _u9708, _u9706))) | ( _u9710 = 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)), skolem182(_u9710, _u9708, _u9706))) )).
% 39.91/40.14 cnf(matrix-4201, plain, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | ~hBOOL(hAPP(_u9706, skolem184(_u9710, _u9708, _u9706))) | ( _u9710 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem182(_u9710, _u9708, _u9706)), _u9710)) )).
% 39.91/40.14 cnf(matrix-4202, plain, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | ~hBOOL(hAPP(_u9706, skolem184(_u9710, _u9708, _u9706))) | ( _u9710 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9708 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9710), skolem181(_u9710, _u9708, _u9706))), skolem182(_u9710, _u9708, _u9706))) )).
% 39.91/40.14 cnf(matrix-4203, plain, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | ~hBOOL(hAPP(_u9706, skolem184(_u9710, _u9708, _u9706))) | ( _u9710 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u9706, skolem182(_u9710, _u9708, _u9706))) )).
% 39.91/40.14 cnf(matrix-4204, plain, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9710), skolem184(_u9710, _u9708, _u9706))) | ~hBOOL(hAPP(_u9706, _u9708)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9710)) )).
% 39.91/40.14 cnf(matrix-4205, plain, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9710), skolem184(_u9710, _u9708, _u9706))) | ~hBOOL(hAPP(_u9706, _u9708)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem182(_u9710, _u9708, _u9706))) )).
% 39.91/40.14 cnf(matrix-4206, plain, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9710), skolem184(_u9710, _u9708, _u9706))) | ~hBOOL(hAPP(_u9706, _u9708)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem182(_u9710, _u9708, _u9706)), _u9710)) )).
% 39.91/40.14 cnf(matrix-4207, plain, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9710), skolem184(_u9710, _u9708, _u9706))) | ~hBOOL(hAPP(_u9706, _u9708)) | ( _u9708 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9710), skolem181(_u9710, _u9708, _u9706))), skolem182(_u9710, _u9708, _u9706))) )).
% 39.91/40.14 cnf(matrix-4208, plain, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9710), skolem184(_u9710, _u9708, _u9706))) | ~hBOOL(hAPP(_u9706, _u9708)) | ~hBOOL(hAPP(_u9706, skolem182(_u9710, _u9708, _u9706))) )).
% 39.91/40.14 cnf(matrix-4209, plain, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem184(_u9710, _u9708, _u9706)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9706, _u9708)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9710)) )).
% 39.91/40.14 cnf(matrix-4210, plain, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem184(_u9710, _u9708, _u9706)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9706, _u9708)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem182(_u9710, _u9708, _u9706))) )).
% 39.91/40.14 cnf(matrix-4211, plain, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem184(_u9710, _u9708, _u9706)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9706, _u9708)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem182(_u9710, _u9708, _u9706)), _u9710)) )).
% 39.91/40.14 cnf(matrix-4212, plain, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem184(_u9710, _u9708, _u9706)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9706, _u9708)) | ( _u9708 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9710), skolem181(_u9710, _u9708, _u9706))), skolem182(_u9710, _u9708, _u9706))) )).
% 39.91/40.14 cnf(matrix-4213, plain, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem184(_u9710, _u9708, _u9706)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9706, _u9708)) | ~hBOOL(hAPP(_u9706, skolem182(_u9710, _u9708, _u9706))) )).
% 39.91/40.14 cnf(matrix-4214, plain, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | ( _u9708 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9710), skolem183(_u9710, _u9708, _u9706))), skolem184(_u9710, _u9708, _u9706))) | ~hBOOL(hAPP(_u9706, _u9708)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9710)) )).
% 39.91/40.14 cnf(matrix-4215, plain, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | ( _u9708 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9710), skolem183(_u9710, _u9708, _u9706))), skolem184(_u9710, _u9708, _u9706))) | ~hBOOL(hAPP(_u9706, _u9708)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem182(_u9710, _u9708, _u9706))) )).
% 39.91/40.14 cnf(matrix-4216, plain, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | ( _u9708 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9710), skolem183(_u9710, _u9708, _u9706))), skolem184(_u9710, _u9708, _u9706))) | ~hBOOL(hAPP(_u9706, _u9708)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem182(_u9710, _u9708, _u9706)), _u9710)) )).
% 39.91/40.14 cnf(matrix-4217, plain, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | ( _u9708 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9710), skolem183(_u9710, _u9708, _u9706))), skolem184(_u9710, _u9708, _u9706))) | ~hBOOL(hAPP(_u9706, _u9708)) | ( _u9708 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9710), skolem181(_u9710, _u9708, _u9706))), skolem182(_u9710, _u9708, _u9706))) )).
% 39.91/40.14 cnf(matrix-4218, plain, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | ( _u9708 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9710), skolem183(_u9710, _u9708, _u9706))), skolem184(_u9710, _u9708, _u9706))) | ~hBOOL(hAPP(_u9706, _u9708)) | ~hBOOL(hAPP(_u9706, skolem182(_u9710, _u9708, _u9706))) )).
% 39.91/40.14 cnf(matrix-4219, plain, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | ~hBOOL(hAPP(_u9706, skolem184(_u9710, _u9708, _u9706))) | ~hBOOL(hAPP(_u9706, _u9708)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9710)) )).
% 39.91/40.14 cnf(matrix-4220, plain, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | ~hBOOL(hAPP(_u9706, skolem184(_u9710, _u9708, _u9706))) | ~hBOOL(hAPP(_u9706, _u9708)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem182(_u9710, _u9708, _u9706))) )).
% 39.91/40.14 cnf(matrix-4221, plain, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | ~hBOOL(hAPP(_u9706, skolem184(_u9710, _u9708, _u9706))) | ~hBOOL(hAPP(_u9706, _u9708)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem182(_u9710, _u9708, _u9706)), _u9710)) )).
% 39.91/40.14 cnf(matrix-4222, plain, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | ~hBOOL(hAPP(_u9706, skolem184(_u9710, _u9708, _u9706))) | ~hBOOL(hAPP(_u9706, _u9708)) | ( _u9708 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9710), skolem181(_u9710, _u9708, _u9706))), skolem182(_u9710, _u9708, _u9706))) )).
% 39.91/40.14 cnf(matrix-4223, plain, ( hBOOL(hAPP(_u9706, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9708, _u9710))) | ~hBOOL(hAPP(_u9706, skolem184(_u9710, _u9708, _u9706))) | ~hBOOL(hAPP(_u9706, _u9708)) | ~hBOOL(hAPP(_u9706, skolem182(_u9710, _u9708, _u9706))) )).
% 39.91/40.14 cnf(matrix-4224, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9711)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9712)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9712), _u9713)) | 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), _u9713), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9714, _u9711))), _u9712))) )).
% 39.91/40.14 cnf(matrix-4225, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9715)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9716)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9716), _u9717)) | 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), _u9717), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9718, _u9715))), _u9716)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9717), _u9715))) )).
% 39.91/40.14 cnf(matrix-4226, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9719)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9720), _u9721)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9721), 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), _u9720), _u9719)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9720), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9722, _u9719))), _u9721))) )).
% 39.91/40.14 cnf(matrix-4227, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9723)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9724), _u9725)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9725), 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), _u9724), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9726, _u9723))), _u9725)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.91/40.14 cnf(matrix-4228, plain, ( ( _u9727 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9728), _u9729)), _u9730)) | ( _u9728 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9727, _u9728) = _u9730) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9728)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9728), _u9730)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9730), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.91/40.14 cnf(matrix-4229, plain, ( ( _u9727 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9728), _u9729)), _u9730)) | ( _u9728 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9727, _u9728) = _u9730) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9730)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9730), _u9728)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9728)) )).
% 39.91/40.14 cnf(matrix-4230, plain, ( ( _u9727 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9728), _u9729)), _u9730)) | ( _u9728 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9727, _u9728) = _u9730) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9730)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9730), _u9728)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9728), _u9730)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9730), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.91/40.14 cnf(matrix-4231, plain, ( ~class_Orderings_Olinorder(_u9731) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9731), _u9732)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9731, tc_HOL_Obool)), _u9732), hAPP(hAPP(c_Set_Oinsert(_u9731), _u9733), c_Orderings_Obot__class_Obot(tc_fun(_u9731, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u9731, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u9731, hAPP(hAPP(c_Set_Oinsert(_u9731), _u9733), _u9732)) = _u9733) )).
% 39.91/40.14 cnf(matrix-4232, plain, ( ~class_Orderings_Olinorder(_u9731) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9731), _u9732)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9731, tc_HOL_Obool)), _u9732), hAPP(hAPP(c_Set_Oinsert(_u9731), _u9733), c_Orderings_Obot__class_Obot(tc_fun(_u9731, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u9731, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u9731, hAPP(hAPP(c_Set_Oinsert(_u9731), _u9733), _u9732)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9731), _u9733), c_Big__Operators_Olinorder__class_OMax(_u9731, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9731, tc_HOL_Obool)), _u9732), hAPP(hAPP(c_Set_Oinsert(_u9731), _u9733), c_Orderings_Obot__class_Obot(tc_fun(_u9731, tc_HOL_Obool))))))) )).
% 39.91/40.14 cnf(matrix-4233, plain, ( ~class_Orderings_Olinorder(_u9734) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9734), _u9735)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9734), _u9736)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9734, tc_HOL_Obool)), _u9735), _u9736) = c_Orderings_Obot__class_Obot(tc_fun(_u9734, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9734), c_Big__Operators_Olinorder__class_OMax(_u9734, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9734, tc_HOL_Obool)), _u9735), _u9736))), c_Big__Operators_Olinorder__class_OMax(_u9734, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9734, tc_HOL_Obool)), _u9735), _u9736))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9734), c_Big__Operators_Olinorder__class_OMax(_u9734, _u9735)), c_Big__Operators_Olinorder__class_OMax(_u9734, _u9736))) )).
% 39.91/40.14 cnf(matrix-4234, plain, ( ~class_Orderings_Olinorder(_u9737) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9737), _u9738)) | ( _u9738 = c_Orderings_Obot__class_Obot(tc_fun(_u9737, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9737), _u9739)) | ( _u9739 = c_Orderings_Obot__class_Obot(tc_fun(_u9737, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9737, tc_HOL_Obool)), _u9738), _u9739) != c_Orderings_Obot__class_Obot(tc_fun(_u9737, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u9737, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9737, tc_HOL_Obool)), _u9738), _u9739)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9737), c_Big__Operators_Olinorder__class_OMax(_u9737, _u9738)), c_Big__Operators_Olinorder__class_OMax(_u9737, _u9739))) )).
% 39.91/40.14 cnf(matrix-4235, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9740)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9741, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9742), _u9740)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9742), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9741), _u9742), _u9740))), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9741, _u9742))) )).
% 39.91/40.14 cnf(matrix-4236, plain, ( ( _u9743 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9744, _u9743) != 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), _u9744)), _u9743) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9744), _u9743))) )).
% 39.91/40.14 cnf(matrix-4237, plain, ( ( _u9743 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9744, _u9743) = 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), _u9744)), _u9743) = 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), _u9744), _u9743))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 39.91/40.14 cnf(matrix-4238, plain, ( ( _u9745 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9746, _u9745) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9746), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9745)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9746), _u9745))) )).
% 39.91/40.14 cnf(matrix-4239, plain, ( ( _u9745 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9746, _u9745) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9746), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9745)) = 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), _u9746), _u9745))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 39.91/40.14 cnf(matrix-4240, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u9747, _u9748), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u9749), _u9750))) | ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u9751, _u9748), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u9752), _u9753))) | ( _u9748 = 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), _u9747), _u9751), _u9748), 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), _u9749), _u9752)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9750), _u9753)), _u9748))), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9750), _u9753), _u9748)))) )).
% 39.91/40.14 cnf(matrix-4241, plain, ( ~class_Orderings_Olinorder(_u9754) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9754), _u9755)) | ~hBOOL(hAPP(hAPP(c_member(_u9754), _u9756), _u9755)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9754, tc_HOL_Obool)), _u9755), hAPP(hAPP(c_Set_Oinsert(_u9754), _u9756), c_Orderings_Obot__class_Obot(tc_fun(_u9754, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u9754, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u9754, _u9755) = _u9756) )).
% 39.91/40.14 cnf(matrix-4242, plain, ( ~class_Orderings_Olinorder(_u9754) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9754), _u9755)) | ~hBOOL(hAPP(hAPP(c_member(_u9754), _u9756), _u9755)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9754, tc_HOL_Obool)), _u9755), hAPP(hAPP(c_Set_Oinsert(_u9754), _u9756), c_Orderings_Obot__class_Obot(tc_fun(_u9754, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u9754, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u9754, _u9755) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9754), _u9756), c_Big__Operators_Olinorder__class_OMax(_u9754, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9754, tc_HOL_Obool)), _u9755), hAPP(hAPP(c_Set_Oinsert(_u9754), _u9756), c_Orderings_Obot__class_Obot(tc_fun(_u9754, tc_HOL_Obool))))))) )).
% 39.91/40.14 cnf(matrix-4243, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9761)) | ~hBOOL(hAPP(hAPP(_u9762, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9763), _u9761)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9763, _u9761))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9757)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9757), _u9761)) | ( _u9763 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9761), _u9758)), _u9757)) | hBOOL(hAPP(hAPP(_u9762, _u9758), _u9757)) )).
% 39.91/40.14 cnf(matrix-4244, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9761)) | hBOOL(hAPP(hAPP(_u9762, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9763), _u9761)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9763, _u9761))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem186(_u9763, _u9762, _u9761))) )).
% 39.91/40.14 cnf(matrix-4245, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9761)) | hBOOL(hAPP(hAPP(_u9762, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9763), _u9761)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9763, _u9761))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem186(_u9763, _u9762, _u9761)), _u9761)) )).
% 39.91/40.14 cnf(matrix-4246, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9761)) | hBOOL(hAPP(hAPP(_u9762, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9763), _u9761)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9763, _u9761))) | ( _u9763 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9761), skolem185(_u9763, _u9762, _u9761))), skolem186(_u9763, _u9762, _u9761))) )).
% 39.91/40.14 cnf(matrix-4247, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9761)) | hBOOL(hAPP(hAPP(_u9762, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9763), _u9761)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9763, _u9761))) | ~hBOOL(hAPP(hAPP(_u9762, skolem185(_u9763, _u9762, _u9761)), skolem186(_u9763, _u9762, _u9761))) )).
% 39.91/40.14 cnf(matrix-4248, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9768), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(_u9769, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9770), _u9768)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9770, _u9768))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9768), _u9764)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9764), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9770 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9768), _u9765)), _u9764)) | hBOOL(hAPP(hAPP(_u9769, _u9765), _u9764)) )).
% 39.91/40.14 cnf(matrix-4249, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9768), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u9769, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9770), _u9768)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9770, _u9768))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9768), skolem188(_u9770, _u9769, _u9768))) )).
% 39.91/40.14 cnf(matrix-4250, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9768), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u9769, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9770), _u9768)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9770, _u9768))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem188(_u9770, _u9769, _u9768)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.91/40.14 cnf(matrix-4251, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9768), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u9769, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9770), _u9768)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9770, _u9768))) | ( _u9770 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9768), skolem187(_u9770, _u9769, _u9768))), skolem188(_u9770, _u9769, _u9768))) )).
% 39.91/40.14 cnf(matrix-4252, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9768), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u9769, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9770), _u9768)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9770, _u9768))) | ~hBOOL(hAPP(hAPP(_u9769, skolem187(_u9770, _u9769, _u9768)), skolem188(_u9770, _u9769, _u9768))) )).
% 39.91/40.14 cnf(matrix-4253, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u9771, _u9772), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u9773), _u9774))) | ( _u9772 = 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), _u9775), _u9771), _u9772), 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), _u9775), _u9773)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9775), _u9774)), _u9772))), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9775), _u9774), _u9772)))) )).
% 39.91/40.14 cnf(matrix-4254, plain, ( ~class_Orderings_Olinorder(_u9776) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9776), _u9777)) | ( _u9777 = c_Orderings_Obot__class_Obot(tc_fun(_u9776, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9776), _u9778)) | ( _u9778 = c_Orderings_Obot__class_Obot(tc_fun(_u9776, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9776), c_Big__Operators_Olattice_OInf__fin(_u9776, c_Orderings_Oord__class_Omin(_u9776), _u9777)), c_Big__Operators_Olattice_OInf__fin(_u9776, c_Orderings_Oord__class_Omin(_u9776), _u9778)) = c_Big__Operators_Olattice_OInf__fin(_u9776, c_Orderings_Oord__class_Omin(_u9776), hAPP(c_Set_OCollect(_u9776), hAPP(hAPP(c_COMBB(tc_fun(_u9776, tc_HOL_Obool), tc_HOL_Obool, _u9776), c_HOL_OEx(_u9776)), hAPP(hAPP(c_COMBB(tc_fun(_u9776, tc_fun(_u9776, tc_HOL_Obool)), tc_fun(_u9776, tc_HOL_Obool), _u9776), hAPP(c_COMBB(tc_fun(_u9776, tc_HOL_Obool), tc_HOL_Obool, _u9776), c_HOL_OEx(_u9776))), hAPP(hAPP(c_COMBC(_u9776, tc_fun(_u9776, tc_fun(_u9776, tc_HOL_Obool)), tc_fun(_u9776, tc_fun(_u9776, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u9776, tc_fun(tc_fun(_u9776, tc_HOL_Obool), tc_fun(_u9776, tc_HOL_Obool))), tc_fun(tc_fun(_u9776, tc_fun(_u9776, tc_HOL_Obool)), tc_fun(_u9776, tc_fun(_u9776, tc_HOL_Obool))), _u9776), c_COMBS(_u9776, tc_fun(_u9776, tc_HOL_Obool), tc_fun(_u9776, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u9776, tc_fun(_u9776, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u9776, tc_fun(tc_fun(_u9776, tc_HOL_Obool), tc_fun(_u9776, tc_HOL_Obool))), _u9776), hAPP(c_COMBB(tc_fun(_u9776, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u9776, tc_HOL_Obool), tc_fun(_u9776, tc_HOL_Obool)), _u9776), c_COMBS(_u9776, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u9776, tc_fun(_u9776, tc_HOL_Obool)), tc_fun(_u9776, tc_fun(_u9776, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u9776), hAPP(c_COMBB(tc_fun(_u9776, tc_HOL_Obool), tc_fun(_u9776, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u9776), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9776), c_fconj))), hAPP(hAPP(c_COMBC(_u9776, tc_fun(_u9776, tc_fun(_u9776, _u9776)), tc_fun(_u9776, tc_fun(_u9776, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u9776, _u9776), tc_fun(_u9776, tc_HOL_Obool)), tc_fun(tc_fun(_u9776, tc_fun(_u9776, _u9776)), tc_fun(_u9776, tc_fun(_u9776, tc_HOL_Obool))), _u9776), c_COMBB(tc_fun(_u9776, _u9776), tc_fun(_u9776, tc_HOL_Obool), _u9776)), hAPP(hAPP(c_COMBB(tc_fun(_u9776, tc_HOL_Obool), tc_fun(tc_fun(_u9776, _u9776), tc_fun(_u9776, tc_HOL_Obool)), _u9776), c_COMBB(_u9776, tc_HOL_Obool, _u9776)), c_fequal))), c_Orderings_Oord__class_Omax(_u9776)))))), hAPP(hAPP(c_COMBC(_u9776, tc_fun(_u9776, tc_HOL_Obool), tc_fun(_u9776, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u9776, tc_HOL_Obool), tc_fun(_u9776, tc_HOL_Obool)), _u9776), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u9776)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9776), c_fconj), hAPP(hAPP(c_COMBC(_u9776, tc_fun(_u9776, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9776)), _u9777)))), hAPP(hAPP(c_COMBC(_u9776, tc_fun(_u9776, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9776)), _u9778)))))))) )).
% 39.91/40.14 cnf(matrix-4255, 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), _u9779), _u9780))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9780), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u9779, _u9780) = c_Nitpick_Onorm__frac(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9779), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9780))) )).
% 39.91/40.14 cnf(matrix-4256, 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), _u9779), _u9780))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9780), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u9779, _u9780) = 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))) | ( _u9779 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 39.91/40.14 cnf(matrix-4257, 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), _u9779), _u9780))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9780), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u9779, _u9780) = 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))) | ( _u9780 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 39.91/40.14 cnf(matrix-4258, 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), _u9779), _u9780))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9780), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9779 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9780 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Nitpick_Onorm__frac(_u9779, _u9780) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), hAPP(hAPP(c_Nitpick_Oint__gcd, _u9779), _u9780)), 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), _u9779))), hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9780)))) )).
% 39.91/40.14 cnf(matrix-4259, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9783)) | ( c_SMT_Oz3mod(_u9785, _u9783) = c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9785, _u9783)) )).
% 39.91/40.14 cnf(matrix-4260, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9784)) | ( c_SMT_Oz3mod(_u9786, _u9784) = c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9786, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9784))) )).
% 39.91/40.14 cnf(matrix-4261, plain, ( ~class_Orderings_Olinorder(_u9787) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9787), _u9788)) | ( _u9788 = c_Orderings_Obot__class_Obot(tc_fun(_u9787, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9787), _u9789)) | ( _u9789 = c_Orderings_Obot__class_Obot(tc_fun(_u9787, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9787), c_Big__Operators_Olattice_OSup__fin(_u9787, c_Orderings_Oord__class_Omax(_u9787), _u9788)), c_Big__Operators_Olattice_OSup__fin(_u9787, c_Orderings_Oord__class_Omax(_u9787), _u9789)) = c_Big__Operators_Olattice_OSup__fin(_u9787, c_Orderings_Oord__class_Omax(_u9787), hAPP(c_Set_OCollect(_u9787), hAPP(hAPP(c_COMBB(tc_fun(_u9787, tc_HOL_Obool), tc_HOL_Obool, _u9787), c_HOL_OEx(_u9787)), hAPP(hAPP(c_COMBB(tc_fun(_u9787, tc_fun(_u9787, tc_HOL_Obool)), tc_fun(_u9787, tc_HOL_Obool), _u9787), hAPP(c_COMBB(tc_fun(_u9787, tc_HOL_Obool), tc_HOL_Obool, _u9787), c_HOL_OEx(_u9787))), hAPP(hAPP(c_COMBC(_u9787, tc_fun(_u9787, tc_fun(_u9787, tc_HOL_Obool)), tc_fun(_u9787, tc_fun(_u9787, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u9787, tc_fun(tc_fun(_u9787, tc_HOL_Obool), tc_fun(_u9787, tc_HOL_Obool))), tc_fun(tc_fun(_u9787, tc_fun(_u9787, tc_HOL_Obool)), tc_fun(_u9787, tc_fun(_u9787, tc_HOL_Obool))), _u9787), c_COMBS(_u9787, tc_fun(_u9787, tc_HOL_Obool), tc_fun(_u9787, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u9787, tc_fun(_u9787, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u9787, tc_fun(tc_fun(_u9787, tc_HOL_Obool), tc_fun(_u9787, tc_HOL_Obool))), _u9787), hAPP(c_COMBB(tc_fun(_u9787, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u9787, tc_HOL_Obool), tc_fun(_u9787, tc_HOL_Obool)), _u9787), c_COMBS(_u9787, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u9787, tc_fun(_u9787, tc_HOL_Obool)), tc_fun(_u9787, tc_fun(_u9787, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u9787), hAPP(c_COMBB(tc_fun(_u9787, tc_HOL_Obool), tc_fun(_u9787, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u9787), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9787), c_fconj))), hAPP(hAPP(c_COMBC(_u9787, tc_fun(_u9787, tc_fun(_u9787, _u9787)), tc_fun(_u9787, tc_fun(_u9787, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u9787, _u9787), tc_fun(_u9787, tc_HOL_Obool)), tc_fun(tc_fun(_u9787, tc_fun(_u9787, _u9787)), tc_fun(_u9787, tc_fun(_u9787, tc_HOL_Obool))), _u9787), c_COMBB(tc_fun(_u9787, _u9787), tc_fun(_u9787, tc_HOL_Obool), _u9787)), hAPP(hAPP(c_COMBB(tc_fun(_u9787, tc_HOL_Obool), tc_fun(tc_fun(_u9787, _u9787), tc_fun(_u9787, tc_HOL_Obool)), _u9787), c_COMBB(_u9787, tc_HOL_Obool, _u9787)), c_fequal))), c_Orderings_Oord__class_Omin(_u9787)))))), hAPP(hAPP(c_COMBC(_u9787, tc_fun(_u9787, tc_HOL_Obool), tc_fun(_u9787, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u9787, tc_HOL_Obool), tc_fun(_u9787, tc_HOL_Obool)), _u9787), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u9787)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9787), c_fconj), hAPP(hAPP(c_COMBC(_u9787, tc_fun(_u9787, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9787)), _u9788)))), hAPP(hAPP(c_COMBC(_u9787, tc_fun(_u9787, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9787)), _u9789)))))))) )).
% 39.91/40.14 cnf(matrix-4262, plain, ( ~class_Orderings_Olinorder(_u9790) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9790), _u9791)) | ( _u9791 = c_Orderings_Obot__class_Obot(tc_fun(_u9790, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9790), _u9792), c_Big__Operators_Olattice_OSup__fin(_u9790, c_Orderings_Oord__class_Omax(_u9790), _u9791)) = c_Big__Operators_Olattice_OSup__fin(_u9790, c_Orderings_Oord__class_Omax(_u9790), hAPP(c_Set_OCollect(_u9790), hAPP(hAPP(c_COMBB(tc_fun(_u9790, tc_HOL_Obool), tc_HOL_Obool, _u9790), c_HOL_OEx(_u9790)), hAPP(hAPP(c_COMBC(_u9790, tc_fun(_u9790, tc_HOL_Obool), tc_fun(_u9790, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9790, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u9790, tc_HOL_Obool), tc_fun(_u9790, tc_HOL_Obool)), _u9790), c_COMBS(_u9790, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9790, tc_HOL_Obool), tc_fun(_u9790, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u9790), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9790), c_fconj)), hAPP(hAPP(c_COMBC(_u9790, tc_fun(_u9790, _u9790), tc_fun(_u9790, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9790, tc_HOL_Obool), tc_fun(tc_fun(_u9790, _u9790), tc_fun(_u9790, tc_HOL_Obool)), _u9790), c_COMBB(_u9790, tc_HOL_Obool, _u9790)), c_fequal)), hAPP(c_Orderings_Oord__class_Omin(_u9790), _u9792))))), hAPP(hAPP(c_COMBC(_u9790, tc_fun(_u9790, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9790)), _u9791)))))) )).
% 39.91/40.14 cnf(matrix-4263, plain, ( ~class_Orderings_Olinorder(_u9795) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9795), _u9796)) | ( _u9796 = c_Orderings_Obot__class_Obot(tc_fun(_u9795, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u9795), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9795), skolem189(_u9796, _u9795)), skolem190(_u9796, _u9795))), hAPP(hAPP(c_Set_Oinsert(_u9795), skolem189(_u9796, _u9795)), hAPP(hAPP(c_Set_Oinsert(_u9795), skolem190(_u9796, _u9795)), c_Orderings_Obot__class_Obot(tc_fun(_u9795, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u9795), c_Big__Operators_Olinorder__class_OMax(_u9795, _u9796)), _u9796)) )).
% 39.91/40.14 cnf(matrix-4264, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u9797), _u9798)), _u9799) = 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), _u9797), _u9799)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9798), _u9799))), 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, _u9797, _u9799)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9798, _u9799))), _u9799))) )).
% 39.91/40.14 cnf(matrix-4265, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9800, _u9801)), _u9802) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9800), _u9802), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9801), _u9802))) )).
% 39.91/40.14 cnf(matrix-4266, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9803), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9804, _u9805)) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9803), _u9804), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9803), _u9805))) )).
% 39.91/40.14 cnf(matrix-4267, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u9806), _u9807) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9806, _u9807)), _u9807)) )).
% 39.91/40.14 cnf(matrix-4268, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9808), _u9809)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9808, _u9809) = _u9808) )).
% 39.91/40.14 cnf(matrix-4269, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9810, _u9811)), _u9810)) )).
% 39.91/40.14 cnf(matrix-4270, plain, ( ( c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat) = c_Orderings_Oord__class_Omax(tc_Nat_Onat)) )).
% 39.91/40.14 cnf(matrix-4271, plain, ( ( hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9814, _u9816)) != _u9816) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u9814), _u9816) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.14 cnf(matrix-4272, plain, ( ( hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9815, _u9817)) = _u9817) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u9815), _u9817) = hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9815, _u9817))) )).
% 39.91/40.14 cnf(matrix-4273, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9818, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.14 cnf(matrix-4274, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9819)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9820, _u9819)), _u9819)) )).
% 39.91/40.14 cnf(matrix-4275, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9825, _u9827) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u9825 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9827), skolem191(_u9827, _u9825))) )).
% 39.91/40.14 cnf(matrix-4276, plain, ( ( _u9826 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9828), _u9822)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9826, _u9828) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.14 cnf(matrix-4277, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9831), _u9833)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9831, _u9833) = _u9831) )).
% 39.91/40.14 cnf(matrix-4278, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9832), _u9834)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9832, _u9834) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u9832), _u9834), _u9834)) )).
% 39.91/40.14 cnf(matrix-4279, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9835), _u9836)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9835, _u9836) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u9835), _u9836), _u9836)) )).
% 39.91/40.14 cnf(matrix-4280, 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), _u9837), _u9838)), _u9839), _u9838) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9839, _u9838)) )).
% 39.91/40.14 cnf(matrix-4281, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9840), _u9841)), _u9842) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9840), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9841), _u9842))), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9840), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9841, _u9842))), _u9842))) )).
% 39.91/40.14 cnf(matrix-4282, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9843, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9844), _u9845)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9844), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9843), _u9844), _u9845))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9843, _u9844))) )).
% 39.91/40.14 cnf(matrix-4283, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9846), _u9847)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9847, _u9846) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u9847), _u9846), _u9846)) )).
% 39.91/40.14 cnf(matrix-4284, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9848), _u9849)), _u9849) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u9848), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9848, _u9849))) )).
% 39.91/40.14 cnf(matrix-4285, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9850), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9851), _u9850)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u9851), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9851, _u9850))) )).
% 39.91/40.14 cnf(matrix-4286, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9852, _u9853) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u9852), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9852), _u9853)), _u9853))) )).
% 39.91/40.14 cnf(matrix-4287, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9854), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9855)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9854, _u9855))) )).
% 39.91/40.14 cnf(matrix-4288, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9856, _u9857)) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9856), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9857))) )).
% 39.91/40.14 cnf(matrix-4289, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9858)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9859, _u9858)), _u9858)) )).
% 39.91/40.14 cnf(matrix-4290, 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), _u9860), _u9861)), _u9862)), _u9861) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u9862), _u9861)) )).
% 39.91/40.14 cnf(matrix-4291, plain, ( ~class_Orderings_Olinorder(_u9863) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9863), _u9864)) | ~hBOOL(hAPP(hAPP(c_member(_u9863), _u9865), _u9864)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9863), _u9865), c_Big__Operators_Olattice_OSup__fin(_u9863, c_Orderings_Oord__class_Omax(_u9863), _u9864)) = c_Big__Operators_Olattice_OSup__fin(_u9863, c_Orderings_Oord__class_Omax(_u9863), _u9864)) )).
% 39.91/40.14 cnf(matrix-4292, plain, ( ~class_Orderings_Olinorder(_u9866) | ( c_Big__Operators_Olattice_OSup__fin(_u9866, c_Orderings_Oord__class_Omax(_u9866), hAPP(hAPP(c_Set_Oinsert(_u9866), _u9867), c_Orderings_Obot__class_Obot(tc_fun(_u9866, tc_HOL_Obool)))) = _u9867) )).
% 39.91/40.14 cnf(matrix-4293, plain, ( ~hBOOL(hAPP(_u9875, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9877, _u9879))) | ( _u9879 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u9875, _u9877)) )).
% 39.91/40.14 cnf(matrix-4294, plain, ( ~hBOOL(hAPP(_u9875, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9877, _u9879))) | ( _u9879 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9868), _u9879)) | ( _u9877 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9879), _u9869)), _u9868)) | hBOOL(hAPP(_u9875, _u9868)) )).
% 39.91/40.14 cnf(matrix-4295, plain, ( hBOOL(hAPP(_u9876, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9878, _u9880))) | ( _u9880 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem193(_u9880, _u9878, _u9876)), _u9880)) )).
% 39.91/40.14 cnf(matrix-4296, plain, ( hBOOL(hAPP(_u9876, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9878, _u9880))) | ( _u9880 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u9878 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9880), skolem192(_u9880, _u9878, _u9876))), skolem193(_u9880, _u9878, _u9876))) )).
% 39.91/40.14 cnf(matrix-4297, plain, ( hBOOL(hAPP(_u9876, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9878, _u9880))) | ( _u9880 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u9876, skolem193(_u9880, _u9878, _u9876))) )).
% 39.91/40.14 cnf(matrix-4298, plain, ( hBOOL(hAPP(_u9876, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9878, _u9880))) | ~hBOOL(hAPP(_u9876, _u9878)) | ( _u9880 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.14 cnf(matrix-4299, plain, ( hBOOL(hAPP(_u9876, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9878, _u9880))) | ~hBOOL(hAPP(_u9876, _u9878)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem193(_u9880, _u9878, _u9876)), _u9880)) )).
% 39.91/40.14 cnf(matrix-4300, plain, ( hBOOL(hAPP(_u9876, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9878, _u9880))) | ~hBOOL(hAPP(_u9876, _u9878)) | ( _u9878 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9880), skolem192(_u9880, _u9878, _u9876))), skolem193(_u9880, _u9878, _u9876))) )).
% 39.91/40.14 cnf(matrix-4301, plain, ( hBOOL(hAPP(_u9876, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9878, _u9880))) | ~hBOOL(hAPP(_u9876, _u9878)) | ~hBOOL(hAPP(_u9876, skolem193(_u9880, _u9878, _u9876))) )).
% 39.91/40.14 cnf(matrix-4302, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9881)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9882), _u9883)) | 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), _u9883), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9884, _u9881))), _u9882)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9883), _u9881))) )).
% 39.91/40.14 cnf(matrix-4303, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u9885)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9885), _u9886)), _u9885) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 39.91/40.14 cnf(matrix-4304, plain, ( ~class_Orderings_Olinorder(_u9887) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9887), _u9888)) | ( _u9888 = c_Orderings_Obot__class_Obot(tc_fun(_u9887, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u9887, c_Orderings_Oord__class_Omax(_u9887), hAPP(hAPP(c_Set_Oinsert(_u9887), _u9889), _u9888)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9887), _u9889), c_Big__Operators_Olattice_OSup__fin(_u9887, c_Orderings_Oord__class_Omax(_u9887), _u9888))) )).
% 39.91/40.14 cnf(matrix-4305, plain, ( ~class_Orderings_Olinorder(_u9890) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9890), _u9891)) | ( _u9892 = c_Orderings_Obot__class_Obot(tc_fun(_u9890, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9890, tc_HOL_Obool)), _u9892), _u9891)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9890), c_Big__Operators_Olattice_OSup__fin(_u9890, c_Orderings_Oord__class_Omax(_u9890), _u9892)), c_Big__Operators_Olattice_OSup__fin(_u9890, c_Orderings_Oord__class_Omax(_u9890), _u9891)) = c_Big__Operators_Olattice_OSup__fin(_u9890, c_Orderings_Oord__class_Omax(_u9890), _u9891)) )).
% 39.91/40.14 cnf(matrix-4306, plain, ( ~class_Orderings_Olinorder(_u9893) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9893), _u9894)) | ~hBOOL(hAPP(hAPP(c_member(_u9893), _u9895), _u9894)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9893), _u9895), c_Big__Operators_Olattice_OSup__fin(_u9893, c_Orderings_Oord__class_Omax(_u9893), _u9894)) = _u9895) )).
% 39.91/40.14 cnf(matrix-4307, plain, ( ~class_Orderings_Olinorder(_u9896) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9896), _u9897)) | ( _u9897 = c_Orderings_Obot__class_Obot(tc_fun(_u9896, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9896), _u9898)) | ( _u9898 = c_Orderings_Obot__class_Obot(tc_fun(_u9896, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u9896, c_Orderings_Oord__class_Omax(_u9896), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9896, tc_HOL_Obool)), _u9897), _u9898)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9896), c_Big__Operators_Olattice_OSup__fin(_u9896, c_Orderings_Oord__class_Omax(_u9896), _u9897)), c_Big__Operators_Olattice_OSup__fin(_u9896, c_Orderings_Oord__class_Omax(_u9896), _u9898))) )).
% 39.91/40.14 cnf(matrix-4308, plain, ( ~class_Orderings_Olinorder(_u9899) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9899), _u9900)) | hBOOL(hAPP(hAPP(c_member(_u9899), _u9901), _u9900)) | ( _u9900 = c_Orderings_Obot__class_Obot(tc_fun(_u9899, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u9899, c_Orderings_Oord__class_Omax(_u9899), hAPP(hAPP(c_Set_Oinsert(_u9899), _u9901), _u9900)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9899), _u9901), c_Big__Operators_Olattice_OSup__fin(_u9899, c_Orderings_Oord__class_Omax(_u9899), _u9900))) )).
% 39.91/40.14 cnf(matrix-4309, plain, ( ~class_Orderings_Olinorder(_u9902) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9902), _u9903)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9902, tc_HOL_Obool)), _u9903), hAPP(hAPP(c_Set_Oinsert(_u9902), _u9904), c_Orderings_Obot__class_Obot(tc_fun(_u9902, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u9902, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u9902, c_Orderings_Oord__class_Omax(_u9902), hAPP(hAPP(c_Set_Oinsert(_u9902), _u9904), _u9903)) = _u9904) )).
% 39.91/40.14 cnf(matrix-4310, plain, ( ~class_Orderings_Olinorder(_u9902) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9902), _u9903)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9902, tc_HOL_Obool)), _u9903), hAPP(hAPP(c_Set_Oinsert(_u9902), _u9904), c_Orderings_Obot__class_Obot(tc_fun(_u9902, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u9902, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u9902, c_Orderings_Oord__class_Omax(_u9902), hAPP(hAPP(c_Set_Oinsert(_u9902), _u9904), _u9903)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9902), _u9904), c_Big__Operators_Olattice_OSup__fin(_u9902, c_Orderings_Oord__class_Omax(_u9902), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9902, tc_HOL_Obool)), _u9903), hAPP(hAPP(c_Set_Oinsert(_u9902), _u9904), c_Orderings_Obot__class_Obot(tc_fun(_u9902, tc_HOL_Obool))))))) )).
% 39.91/40.14 cnf(matrix-4311, plain, ( ~class_Orderings_Olinorder(_u9905) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9905), _u9906)) | ( _u9906 = c_Orderings_Obot__class_Obot(tc_fun(_u9905, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9905), _u9907)) | ( _u9907 = c_Orderings_Obot__class_Obot(tc_fun(_u9905, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9905, tc_HOL_Obool)), _u9906), _u9907) != c_Orderings_Obot__class_Obot(tc_fun(_u9905, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u9905, c_Orderings_Oord__class_Omax(_u9905), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9905, tc_HOL_Obool)), _u9906), _u9907)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9905), c_Big__Operators_Olattice_OSup__fin(_u9905, c_Orderings_Oord__class_Omax(_u9905), _u9906)), c_Big__Operators_Olattice_OSup__fin(_u9905, c_Orderings_Oord__class_Omax(_u9905), _u9907))) )).
% 39.91/40.14 cnf(matrix-4312, plain, ( ~class_Orderings_Olinorder(_u9908) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9908), _u9909)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9908), _u9910)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9908, tc_HOL_Obool)), _u9909), _u9910) = c_Orderings_Obot__class_Obot(tc_fun(_u9908, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9908), c_Big__Operators_Olattice_OSup__fin(_u9908, c_Orderings_Oord__class_Omax(_u9908), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9908, tc_HOL_Obool)), _u9909), _u9910))), c_Big__Operators_Olattice_OSup__fin(_u9908, c_Orderings_Oord__class_Omax(_u9908), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9908, tc_HOL_Obool)), _u9909), _u9910))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9908), c_Big__Operators_Olattice_OSup__fin(_u9908, c_Orderings_Oord__class_Omax(_u9908), _u9909)), c_Big__Operators_Olattice_OSup__fin(_u9908, c_Orderings_Oord__class_Omax(_u9908), _u9910))) )).
% 39.91/40.14 cnf(matrix-4313, plain, ( ~class_Orderings_Olinorder(_u9911) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9911), _u9912)) | ~hBOOL(hAPP(hAPP(c_member(_u9911), _u9913), _u9912)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9911, tc_HOL_Obool)), _u9912), hAPP(hAPP(c_Set_Oinsert(_u9911), _u9913), c_Orderings_Obot__class_Obot(tc_fun(_u9911, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u9911, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u9911, c_Orderings_Oord__class_Omax(_u9911), _u9912) = _u9913) )).
% 39.91/40.14 cnf(matrix-4314, plain, ( ~class_Orderings_Olinorder(_u9911) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9911), _u9912)) | ~hBOOL(hAPP(hAPP(c_member(_u9911), _u9913), _u9912)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9911, tc_HOL_Obool)), _u9912), hAPP(hAPP(c_Set_Oinsert(_u9911), _u9913), c_Orderings_Obot__class_Obot(tc_fun(_u9911, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u9911, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u9911, c_Orderings_Oord__class_Omax(_u9911), _u9912) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9911), _u9913), c_Big__Operators_Olattice_OSup__fin(_u9911, c_Orderings_Oord__class_Omax(_u9911), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9911, tc_HOL_Obool)), _u9912), hAPP(hAPP(c_Set_Oinsert(_u9911), _u9913), c_Orderings_Obot__class_Obot(tc_fun(_u9911, tc_HOL_Obool))))))) )).
% 39.91/40.14 cnf(matrix-4315, plain, ( ~class_Orderings_Olinorder(_u9914) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9914), _u9915)) | ( _u9915 = c_Orderings_Obot__class_Obot(tc_fun(_u9914, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9914), c_Big__Operators_Olattice_OInf__fin(_u9914, c_Orderings_Oord__class_Omin(_u9914), _u9915)), c_Big__Operators_Olattice_OSup__fin(_u9914, c_Orderings_Oord__class_Omax(_u9914), _u9915))) )).
% 39.91/40.14 cnf(matrix-4316, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9916)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9916), _u9917)) | ( c_Divides_Odivmod__nat(_u9917, _u9916) = 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), _u9917), _u9916)), _u9916))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u9917), _u9916), _u9916))) )).
% 39.91/40.14 cnf(matrix-4317, 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), _u9920), _u9921))) | hBOOL(hAPP(hAPP(_u9922, _u9920), _u9921)) | 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), skolem194(_u9922, _u9921, _u9920)), skolem195(_u9922, _u9921, _u9920)))) )).
% 39.91/40.14 cnf(matrix-4318, 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), _u9920), _u9921))) | hBOOL(hAPP(hAPP(_u9922, _u9920), _u9921)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem195(_u9922, _u9921, _u9920)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u9922, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), skolem194(_u9922, _u9921, _u9920))), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), skolem195(_u9922, _u9921, _u9920)))) )).
% 39.91/40.14 cnf(matrix-4319, 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), _u9920), _u9921))) | hBOOL(hAPP(hAPP(_u9922, _u9920), _u9921)) | ~hBOOL(hAPP(hAPP(_u9922, skolem194(_u9922, _u9921, _u9920)), skolem195(_u9922, _u9921, _u9920))) )).
% 39.91/40.14 cnf(matrix-4320, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u9923, _u9924), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u9925), _u9926))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9924)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9927)) | hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u9923, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9924), _u9927)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9925), _u9927)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9924), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9925, _u9927))), _u9926)))) )).
% 39.91/40.14 cnf(matrix-4321, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u9928, _u9929), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u9930), _u9931))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9929)) | hBOOL(hAPP(c_Divides_Odivmod__nat__rel(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9932), _u9928), _u9929), 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), _u9932), _u9930)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9932), _u9931)), _u9929))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9932), _u9931), _u9929)))) )).
% 39.91/40.14 cnf(matrix-4322, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u9933, _u9934), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u9935), _u9936))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9933, _u9934) = _u9936) )).
% 39.91/40.14 cnf(matrix-4323, plain, ( ( c_Divides_Odivmod__nat(_u9937, _u9938) = c_HOL_OThe(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Divides_Odivmod__nat__rel(_u9937, _u9938))) )).
% 39.91/40.14 cnf(matrix-4324, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u9939, _u9940), c_Divides_Odivmod__nat(_u9939, _u9940))) )).
% 39.91/40.14 cnf(matrix-4325, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u9941, _u9942), _u9943)) | ( c_Divides_Odivmod__nat(_u9941, _u9942) = _u9943) )).
% 39.91/40.14 cnf(matrix-4326, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u9944, _u9945), _u9946)) | ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u9944, _u9945), _u9947)) | ( _u9946 = _u9947) )).
% 39.91/40.14 cnf(matrix-4327, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u9948, _u9949), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9948), _u9949)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9948, _u9949)))) )).
% 39.91/40.14 cnf(matrix-4328, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u9950, _u9951), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u9952), _u9953))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9950), _u9951) = _u9952) )).
% 39.91/40.14 cnf(matrix-4329, plain, ( ( c_Divides_Odivmod__nat(_u9954, 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)), _u9954)) )).
% 39.91/40.14 cnf(matrix-4330, plain, ( ( c_Divides_Odivmod__nat(_u9955, _u9956) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9955), _u9956)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9955, _u9956))) )).
% 39.91/40.14 cnf(matrix-4331, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9957), _u9958)) | ( c_Divides_Odivmod__nat(_u9957, _u9958) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9957)) )).
% 39.91/40.14 cnf(matrix-4332, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u9959, _u9960), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u9961), _u9962))) | ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u9963, _u9960), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u9964), _u9965))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9960)) | hBOOL(hAPP(c_Divides_Odivmod__nat__rel(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u9959), _u9963), _u9960), 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), _u9961), _u9964)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u9962), _u9965)), _u9960))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u9962), _u9965), _u9960)))) )).
% 39.91/40.14 cnf(matrix-4333, plain, ( ~class_Orderings_Olinorder(_u9968) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9968), _u9969)) | ( _u9969 = c_Orderings_Obot__class_Obot(tc_fun(_u9968, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u9968), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9968), skolem196(_u9969, _u9968)), skolem197(_u9969, _u9968))), hAPP(hAPP(c_Set_Oinsert(_u9968), skolem196(_u9969, _u9968)), hAPP(hAPP(c_Set_Oinsert(_u9968), skolem197(_u9969, _u9968)), c_Orderings_Obot__class_Obot(tc_fun(_u9968, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u9968), c_Big__Operators_Olattice_OSup__fin(_u9968, c_Orderings_Oord__class_Omax(_u9968), _u9969)), _u9969)) )).
% 39.91/40.14 cnf(matrix-4334, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9970), 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)), _u9971)) | ( c_Divides_OnegDivAlg(_u9970, _u9971) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9970), _u9971)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9970, _u9971))) )).
% 39.91/40.14 cnf(matrix-4335, plain, ( ( c_Divides_Odivmod__nat(_u9976, _u9974) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9976)) | ( _u9974 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.14 cnf(matrix-4336, plain, ( ( c_Divides_Odivmod__nat(_u9976, _u9974) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9976)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9976), _u9974)) )).
% 39.91/40.14 cnf(matrix-4337, plain, ( ( _u9975 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9977), _u9975)) | ( c_Divides_Odivmod__nat(_u9977, _u9975) = 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), _u9977), _u9975), _u9975))) )).
% 39.91/40.14 cnf(matrix-4338, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9978)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9979)) | ( c_Divides_OposDivAlg(_u9978, _u9979) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9978), _u9979)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9978, _u9979))) )).
% 39.91/40.14 cnf(matrix-4339, plain, ( ( c_Divides_OposDivAlg(c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u9980) = 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))) )).
% 39.91/40.14 cnf(matrix-4340, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9981), 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)), _u9982)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u9981, _u9982), c_Divides_OnegDivAlg(_u9981, _u9982))) )).
% 39.91/40.14 cnf(matrix-4341, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9983)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9984)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u9983, _u9984), c_Divides_OposDivAlg(_u9983, _u9984))) )).
% 39.91/40.14 cnf(matrix-4342, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u9985, _u9986)), hAPP(hAPP(c_Product__Type_OPair(_u9985, _u9986), _u9987), _u9988)), _u9989)) | hBOOL(hAPP(hAPP(c_member(_u9990), hAPP(hAPP(_u9991, _u9987), _u9988)), hAPP(c_Set_Oimage(tc_prod(_u9985, _u9986), _u9990, hAPP(c_Product__Type_Oprod_Oprod__case(_u9985, _u9986, _u9990), _u9991)), _u9989))) )).
% 39.91/40.14 cnf(matrix-4343, plain, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u9992, _u9993, _u9994), _u9995), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u9996, _u9997, tc_prod(_u9992, _u9993)), _u9998), _u9999)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u9996, _u9997, _u9994), hAPP(hAPP(c_COMBB(tc_fun(_u9997, tc_prod(_u9992, _u9993)), tc_fun(_u9997, _u9994), _u9996), hAPP(c_COMBB(tc_prod(_u9992, _u9993), _u9994, _u9997), hAPP(c_Product__Type_Oprod_Oprod__case(_u9992, _u9993, _u9994), _u9995))), _u9998)), _u9999)) )).
% 39.91/40.14 cnf(matrix-4344, plain, ( c_Fun_Oinj__on(tc_prod(_u10000, _u10001), tc_prod(_u10001, _u10000), hAPP(c_Product__Type_Oprod_Oprod__case(_u10000, _u10001, tc_prod(_u10001, _u10000)), hAPP(c_COMBC(_u10001, _u10000, tc_prod(_u10001, _u10000)), c_Product__Type_OPair(_u10001, _u10000))), _u10002) )).
% 39.91/40.14 cnf(matrix-4345, plain, ( ( hAPP(c_Product__Type_Oprod_Oprod__case(_u10003, _u10004, _u10005), hAPP(hAPP(c_COMBB(tc_fun(_u10004, tc_prod(_u10003, _u10004)), tc_fun(_u10004, _u10005), _u10003), hAPP(c_COMBB(tc_prod(_u10003, _u10004), _u10005, _u10004), _u10006)), c_Product__Type_OPair(_u10003, _u10004))) = _u10006) )).
% 39.91/40.14 cnf(matrix-4346, plain, ( ~hBOOL(hAPP(hAPP(_u10007, _u10008), _u10009)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u10010, _u10011, tc_HOL_Obool), _u10007), hAPP(hAPP(c_Product__Type_OPair(_u10010, _u10011), _u10008), _u10009))) )).
% 39.91/40.14 cnf(matrix-4347, plain, ( ~hBOOL(hAPP(hAPP(_u10012, _u10013), _u10014)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u10015, _u10016, tc_HOL_Obool), _u10012), hAPP(hAPP(c_Product__Type_OPair(_u10015, _u10016), _u10013), _u10014))) )).
% 39.91/40.14 cnf(matrix-4348, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u10017), _u10018), hAPP(hAPP(_u10019, _u10020), _u10021))) | hBOOL(hAPP(hAPP(c_member(_u10017), _u10018), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u10022, _u10023, tc_fun(_u10017, tc_HOL_Obool)), _u10019), hAPP(hAPP(c_Product__Type_OPair(_u10022, _u10023), _u10020), _u10021)))) )).
% 39.91/40.14 cnf(matrix-4349, plain, ( hBOOL(hAPP(hAPP(_u10026, _u10027), _u10028)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u10024, _u10025, tc_HOL_Obool), _u10026), hAPP(hAPP(c_Product__Type_OPair(_u10024, _u10025), _u10027), _u10028))) )).
% 39.91/40.14 cnf(matrix-4350, plain, ( hBOOL(hAPP(hAPP(hAPP(_u10032, _u10033), _u10034), _u10035)) | ~hBOOL(hAPP(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u10029, _u10030, tc_fun(_u10031, tc_HOL_Obool)), _u10032), hAPP(hAPP(c_Product__Type_OPair(_u10029, _u10030), _u10033), _u10034)), _u10035)) )).
% 39.91/40.14 cnf(matrix-4351, plain, ( ( c_Relation_OId__on(_u10036, _u10037) = hAPP(c_Product__Type_Oprod_Oprod__case(_u10036, _u10036, tc_HOL_Obool), hAPP(hAPP(c_COMBS(_u10036, tc_HOL_Obool, tc_fun(_u10036, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10036, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_HOL_Obool, tc_fun(_u10036, tc_HOL_Obool)), _u10036), c_COMBC(_u10036, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10036, tc_HOL_Obool), tc_fun(_u10036, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u10036), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u10036), c_fconj)), c_fequal))), _u10037))) )).
% 39.91/40.14 cnf(matrix-4352, plain, ( ( c_HOL_OThe(tc_prod(_u10038, _u10039), _u10040) = c_HOL_OThe(tc_prod(_u10038, _u10039), hAPP(c_Product__Type_Oprod_Oprod__case(_u10038, _u10039, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u10039, tc_prod(_u10038, _u10039)), tc_fun(_u10039, tc_HOL_Obool), _u10038), hAPP(c_COMBB(tc_prod(_u10038, _u10039), tc_HOL_Obool, _u10039), _u10040)), c_Product__Type_OPair(_u10038, _u10039))))) )).
% 39.91/40.14 cnf(matrix-4353, plain, ( ( c_HOL_OThe(tc_prod(_u10041, _u10042), hAPP(c_Product__Type_Oprod_Oprod__case(_u10041, _u10042, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u10041, tc_fun(_u10042, tc_HOL_Obool), tc_fun(_u10042, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u10042, tc_HOL_Obool), tc_fun(_u10042, tc_HOL_Obool)), _u10041), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u10042)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u10041), c_fconj), hAPP(c_fequal, _u10043)))), hAPP(c_fequal, _u10044)))) = hAPP(hAPP(c_Product__Type_OPair(_u10041, _u10042), _u10043), _u10044)) )).
% 39.91/40.14 cnf(matrix-4354, plain, ( c_Fun_Oinj__on(tc_fun(_u10045, _u10046), tc_fun(tc_prod(_u10045, _u10046), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u10045, _u10046), tc_HOL_Obool), tc_fun(tc_prod(_u10045, _u10046), tc_HOL_Obool), tc_fun(_u10045, _u10046)), c_Set_OCollect(tc_prod(_u10045, _u10046))), hAPP(hAPP(c_COMBB(tc_fun(_u10045, tc_fun(_u10046, tc_HOL_Obool)), tc_fun(tc_prod(_u10045, _u10046), tc_HOL_Obool), tc_fun(_u10045, _u10046)), c_Product__Type_Oprod_Oprod__case(_u10045, _u10046, tc_HOL_Obool)), hAPP(c_COMBB(_u10046, tc_fun(_u10046, tc_HOL_Obool), _u10045), hAPP(c_COMBC(_u10046, _u10046, tc_HOL_Obool), c_fequal)))), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u10045, _u10046), tc_HOL_Obool))) )).
% 39.91/40.14 cnf(matrix-4355, plain, ( ( hAPP(hAPP(c_Product__Type_OPair(_u10047, _u10048), _u10049), _u10050) != hAPP(hAPP(c_Product__Type_OPair(_u10047, _u10048), _u10051), _u10052)) | ( _u10049 = _u10051) )).
% 39.91/40.14 cnf(matrix-4356, plain, ( ( hAPP(hAPP(c_Product__Type_OPair(_u10047, _u10048), _u10049), _u10050) != hAPP(hAPP(c_Product__Type_OPair(_u10047, _u10048), _u10051), _u10052)) | ( _u10050 = _u10052) )).
% 39.91/40.14 cnf(matrix-4357, plain, ( ( hAPP(hAPP(c_Product__Type_OPair(_u10059, _u10061), _u10063), _u10065) != hAPP(hAPP(c_Product__Type_OPair(_u10059, _u10061), _u10067), _u10069)) | ( _u10063 = _u10067) )).
% 39.91/40.14 cnf(matrix-4358, plain, ( ( hAPP(hAPP(c_Product__Type_OPair(_u10059, _u10061), _u10063), _u10065) != hAPP(hAPP(c_Product__Type_OPair(_u10059, _u10061), _u10067), _u10069)) | ( _u10065 = _u10069) )).
% 39.91/40.14 cnf(matrix-4359, plain, ( ( _u10064 != _u10068) | ( _u10066 != _u10070) | ( hAPP(hAPP(c_Product__Type_OPair(_u10060, _u10062), _u10064), _u10066) = hAPP(hAPP(c_Product__Type_OPair(_u10060, _u10062), _u10068), _u10070)) )).
% 39.91/40.14 cnf(matrix-4360, plain, ( ~hBOOL(hAPP(_u10080, skolem198(_u10084, _u10082, _u10080))) | hBOOL(hAPP(_u10080, hAPP(hAPP(c_Product__Type_OPair(_u10082, _u10084), _u10073), _u10072))) )).
% 39.91/40.14 cnf(matrix-4361, plain, ( ~hBOOL(hAPP(_u10081, hAPP(hAPP(c_Product__Type_OPair(_u10083, _u10085), skolem199(_u10085, _u10083, _u10081)), skolem200(_u10085, _u10083, _u10081)))) | hBOOL(hAPP(_u10081, _u10076)) )).
% 39.91/40.14 cnf(matrix-4362, plain, ( ( _u10086 != _u10087) | ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u10088, _u10089, _u10090), _u10091), _u10086) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u10088, _u10089, _u10090), _u10091), _u10087)) )).
% 39.91/40.14 cnf(matrix-4363, plain, ( ( c_Wellfounded_Ofinite__psubset(_u10092) = hAPP(c_Set_OCollect(tc_prod(tc_fun(_u10092, tc_HOL_Obool), tc_fun(_u10092, tc_HOL_Obool))), hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(_u10092, tc_HOL_Obool), tc_fun(_u10092, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_fun(_u10092, tc_HOL_Obool), tc_fun(tc_fun(_u10092, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u10092, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u10092, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_fun(_u10092, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u10092, tc_HOL_Obool), tc_HOL_Obool)), tc_fun(_u10092, tc_HOL_Obool)), c_COMBS(tc_fun(_u10092, tc_HOL_Obool), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u10092, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u10092, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(_u10092, tc_HOL_Obool)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u10092, tc_HOL_Obool)), c_fconj)), c_Orderings_Oord__class_Oless(tc_fun(_u10092, tc_HOL_Obool))))), c_Finite__Set_Ofinite(_u10092))))) )).
% 39.91/40.14 cnf(matrix-4364, plain, ( ( c_Divides_Odivmod__int__rel(_u10093, _u10094) = 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, _u10093))), 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), _u10094)))))), 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)), _u10094))), 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)), _u10094))))), 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)), _u10094)))), 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), _u10094))), 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)))))))) )).
% 39.91/40.14 cnf(matrix-4365, plain, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u10095, _u10096, _u10097), _u10098), hAPP(hAPP(c_Product__Type_OPair(_u10095, _u10096), _u10099), _u10100)) = hAPP(hAPP(_u10098, _u10099), _u10100)) )).
% 39.91/40.14 cnf(matrix-4366, plain, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u10101, _u10102, _u10103), _u10104), hAPP(hAPP(c_Product__Type_OPair(_u10101, _u10102), _u10105), _u10106)) = hAPP(hAPP(_u10104, _u10105), _u10106)) )).
% 39.91/40.14 cnf(matrix-4367, 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))))) )).
% 39.91/40.14 cnf(matrix-4368, plain, ( ( c_Int_Oint__ge__less__than(_u10107) = 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), _u10107)))), c_Orderings_Oord__class_Oless(tc_Int_Oint))))) )).
% 39.91/40.14 cnf(matrix-4369, plain, ( ( c_Int_Oint__ge__less__than2(_u10108) = 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), _u10108)))), c_Orderings_Oord__class_Oless(tc_Int_Oint))))) )).
% 39.91/40.14 cnf(matrix-4370, plain, ( ( c_Nitpick_Oprod(_u10109, _u10110, _u10111, _u10112) = hAPP(c_Set_OCollect(tc_prod(_u10109, _u10110)), hAPP(c_Product__Type_Oprod_Oprod__case(_u10109, _u10110, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u10109, tc_fun(_u10110, tc_HOL_Obool), tc_fun(_u10110, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u10110, tc_HOL_Obool), tc_fun(_u10110, tc_HOL_Obool)), _u10109), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u10110)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u10109), c_fconj), hAPP(hAPP(c_COMBC(_u10109, tc_fun(_u10109, tc_HOL_Obool), tc_HOL_Obool), c_member(_u10109)), _u10111)))), hAPP(hAPP(c_COMBC(_u10110, tc_fun(_u10110, tc_HOL_Obool), tc_HOL_Obool), c_member(_u10110)), _u10112))))) )).
% 39.91/40.14 cnf(matrix-4371, plain, ( ( hAPP(hAPP(c_Relation_Oinv__image(_u10113, _u10114), _u10115), _u10116) = hAPP(c_Set_OCollect(tc_prod(_u10114, _u10114)), hAPP(c_Product__Type_Oprod_Oprod__case(_u10114, _u10114, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u10114, tc_fun(tc_prod(_u10113, _u10113), tc_HOL_Obool), tc_fun(_u10114, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10114, tc_fun(tc_fun(tc_prod(_u10113, _u10113), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u10113, _u10113), tc_HOL_Obool), tc_fun(_u10114, tc_HOL_Obool)), _u10114), c_COMBC(_u10114, tc_fun(tc_prod(_u10113, _u10113), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10114, tc_prod(_u10113, _u10113)), tc_fun(_u10114, tc_fun(tc_fun(tc_prod(_u10113, _u10113), tc_HOL_Obool), tc_HOL_Obool)), _u10114), hAPP(c_COMBB(tc_prod(_u10113, _u10113), tc_fun(tc_fun(tc_prod(_u10113, _u10113), tc_HOL_Obool), tc_HOL_Obool), _u10114), c_member(tc_prod(_u10113, _u10113)))), hAPP(hAPP(c_COMBC(_u10114, tc_fun(_u10114, _u10113), tc_fun(_u10114, tc_prod(_u10113, _u10113))), hAPP(hAPP(c_COMBB(tc_fun(_u10113, tc_prod(_u10113, _u10113)), tc_fun(tc_fun(_u10114, _u10113), tc_fun(_u10114, tc_prod(_u10113, _u10113))), _u10114), c_COMBB(_u10113, tc_prod(_u10113, _u10113), _u10114)), hAPP(hAPP(c_COMBB(_u10113, tc_fun(_u10113, tc_prod(_u10113, _u10113)), _u10114), c_Product__Type_OPair(_u10113, _u10113)), _u10116))), _u10116)))), _u10115)))) )).
% 39.91/40.14 cnf(matrix-4372, plain, ( ( c_Product__Type_Oprod_Oprod__rec(_u10117, _u10118, _u10119, _u10120, hAPP(hAPP(c_Product__Type_OPair(_u10117, _u10118), _u10121), _u10122)) = hAPP(hAPP(_u10120, _u10121), _u10122)) )).
% 39.91/40.14 cnf(matrix-4373, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10125, _u10126)), hAPP(hAPP(c_Product__Type_OPair(_u10125, _u10126), _u10127), _u10128)), c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(tc_prod(_u10125, _u10126), tc_HOL_Obool), _u10129))) | ~c_Orderings_Oorder__class_Omono(tc_fun(tc_prod(_u10125, _u10126), tc_HOL_Obool), tc_fun(tc_prod(_u10125, _u10126), tc_HOL_Obool), _u10129) | hBOOL(hAPP(hAPP(_u10130, _u10127), _u10128)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10125, _u10126)), hAPP(hAPP(c_Product__Type_OPair(_u10125, _u10126), skolem201(_u10130, _u10129, _u10128, _u10127, _u10126, _u10125)), skolem202(_u10130, _u10129, _u10128, _u10127, _u10126, _u10125))), hAPP(_u10129, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u10125, _u10126), tc_HOL_Obool)), c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(tc_prod(_u10125, _u10126), tc_HOL_Obool), _u10129)), hAPP(c_Set_OCollect(tc_prod(_u10125, _u10126)), hAPP(c_Product__Type_Oprod_Oprod__case(_u10125, _u10126, tc_HOL_Obool), _u10130)))))) )).
% 39.91/40.14 cnf(matrix-4374, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10125, _u10126)), hAPP(hAPP(c_Product__Type_OPair(_u10125, _u10126), _u10127), _u10128)), c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(tc_prod(_u10125, _u10126), tc_HOL_Obool), _u10129))) | ~c_Orderings_Oorder__class_Omono(tc_fun(tc_prod(_u10125, _u10126), tc_HOL_Obool), tc_fun(tc_prod(_u10125, _u10126), tc_HOL_Obool), _u10129) | hBOOL(hAPP(hAPP(_u10130, _u10127), _u10128)) | ~hBOOL(hAPP(hAPP(_u10130, skolem201(_u10130, _u10129, _u10128, _u10127, _u10126, _u10125)), skolem202(_u10130, _u10129, _u10128, _u10127, _u10126, _u10125))) )).
% 39.91/40.14 cnf(matrix-4375, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10133)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10135)) | ( c_Divides_Odivmod__int(_u10133, _u10135) = c_Divides_OposDivAlg(_u10133, _u10135)) )).
% 39.91/40.14 cnf(matrix-4376, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10133)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10135)) | ( _u10133 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u10133, _u10135) = 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))) )).
% 39.91/40.14 cnf(matrix-4377, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10133)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10135)) | ( _u10133 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u10133, _u10135) = hAPP(c_Divides_OnegateSnd, c_Divides_OnegDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10133), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10135)))) )).
% 39.91/40.14 cnf(matrix-4378, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10134)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10136)) | ( c_Divides_Odivmod__int(_u10134, _u10136) = c_Divides_OnegDivAlg(_u10134, _u10136)) )).
% 39.91/40.14 cnf(matrix-4379, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10134)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10136)) | ( c_Divides_Odivmod__int(_u10134, _u10136) = hAPP(c_Divides_OnegateSnd, c_Divides_OposDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10134), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10136)))) )).
% 39.91/40.14 cnf(matrix-4380, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u10149, _u10149)), hAPP(hAPP(c_Product__Type_OPair(_u10149, _u10149), hAPP(_u10153, _u10145)), hAPP(_u10153, _u10147))), _u10151)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10143, _u10143)), hAPP(hAPP(c_Product__Type_OPair(_u10143, _u10143), _u10145), _u10147)), hAPP(hAPP(c_Relation_Oinv__image(_u10149, _u10143), _u10151), _u10153))) )).
% 39.91/40.14 cnf(matrix-4381, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10150, _u10150)), hAPP(hAPP(c_Product__Type_OPair(_u10150, _u10150), hAPP(_u10154, _u10146)), hAPP(_u10154, _u10148))), _u10152)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10144, _u10144)), hAPP(hAPP(c_Product__Type_OPair(_u10144, _u10144), _u10146), _u10148)), hAPP(hAPP(c_Relation_Oinv__image(_u10150, _u10144), _u10152), _u10154))) )).
% 39.91/40.14 cnf(matrix-4382, plain, ( ( hAPP(c_Divides_OnegateSnd, hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u10155), _u10156)) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u10155), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10156))) )).
% 39.91/40.14 cnf(matrix-4383, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10157), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10158)), _u10159)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u10157, _u10158), hAPP(c_Divides_OnegateSnd, _u10159))) )).
% 39.91/40.14 cnf(matrix-4384, plain, ( ( _u10160 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u10161, _u10160), c_Divides_Odivmod__int(_u10161, _u10160))) )).
% 39.91/40.14 cnf(matrix-4385, plain, ( ( c_Divides_Odivmod__int(_u10162, _u10163) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10162), _u10163)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10162, _u10163))) )).
% 39.91/40.14 cnf(matrix-4386, plain, ( ( c_FunDef_Orp__inv__image(_u10164, _u10165) = hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(tc_prod(_u10164, _u10164), tc_HOL_Obool), tc_fun(tc_prod(_u10164, _u10164), tc_HOL_Obool), tc_fun(tc_fun(_u10165, _u10164), tc_prod(tc_fun(tc_prod(_u10165, _u10165), tc_HOL_Obool), tc_fun(tc_prod(_u10165, _u10165), tc_HOL_Obool)))), hAPP(hAPP(c_COMBC(tc_fun(tc_prod(_u10164, _u10164), tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u10164, _u10164), tc_HOL_Obool), tc_fun(tc_fun(_u10165, _u10164), tc_fun(tc_prod(_u10165, _u10165), tc_HOL_Obool))), tc_fun(tc_fun(tc_prod(_u10164, _u10164), tc_HOL_Obool), tc_fun(tc_fun(_u10165, _u10164), tc_prod(tc_fun(tc_prod(_u10165, _u10165), tc_HOL_Obool), tc_fun(tc_prod(_u10165, _u10165), tc_HOL_Obool))))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_fun(_u10165, _u10164), tc_fun(tc_prod(_u10165, _u10165), tc_HOL_Obool)), tc_fun(tc_fun(_u10165, _u10164), tc_prod(tc_fun(tc_prod(_u10165, _u10165), tc_HOL_Obool), tc_fun(tc_prod(_u10165, _u10165), tc_HOL_Obool)))), tc_fun(tc_fun(tc_fun(tc_prod(_u10164, _u10164), tc_HOL_Obool), tc_fun(tc_fun(_u10165, _u10164), tc_fun(tc_prod(_u10165, _u10165), tc_HOL_Obool))), tc_fun(tc_fun(tc_prod(_u10164, _u10164), tc_HOL_Obool), tc_fun(tc_fun(_u10165, _u10164), tc_prod(tc_fun(tc_prod(_u10165, _u10165), tc_HOL_Obool), tc_fun(tc_prod(_u10165, _u10165), tc_HOL_Obool))))), tc_fun(tc_prod(_u10164, _u10164), tc_HOL_Obool)), c_COMBB(tc_fun(tc_fun(_u10165, _u10164), tc_fun(tc_prod(_u10165, _u10165), tc_HOL_Obool)), tc_fun(tc_fun(_u10165, _u10164), tc_prod(tc_fun(tc_prod(_u10165, _u10165), tc_HOL_Obool), tc_fun(tc_prod(_u10165, _u10165), tc_HOL_Obool))), tc_fun(tc_prod(_u10164, _u10164), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u10165, _u10164), tc_fun(tc_fun(tc_prod(_u10165, _u10165), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u10165, _u10165), tc_HOL_Obool), tc_fun(tc_prod(_u10165, _u10165), tc_HOL_Obool)))), tc_fun(tc_fun(tc_fun(_u10165, _u10164), tc_fun(tc_prod(_u10165, _u10165), tc_HOL_Obool)), tc_fun(tc_fun(_u10165, _u10164), tc_prod(tc_fun(tc_prod(_u10165, _u10165), tc_HOL_Obool), tc_fun(tc_prod(_u10165, _u10165), tc_HOL_Obool)))), tc_fun(tc_prod(_u10164, _u10164), tc_HOL_Obool)), c_COMBS(tc_fun(_u10165, _u10164), tc_fun(tc_prod(_u10165, _u10165), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u10165, _u10165), tc_HOL_Obool), tc_fun(tc_prod(_u10165, _u10165), tc_HOL_Obool)))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u10165, _u10164), tc_fun(tc_prod(_u10165, _u10165), tc_HOL_Obool)), tc_fun(tc_fun(_u10165, _u10164), tc_fun(tc_fun(tc_prod(_u10165, _u10165), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u10165, _u10165), tc_HOL_Obool), tc_fun(tc_prod(_u10165, _u10165), tc_HOL_Obool)))), tc_fun(tc_prod(_u10164, _u10164), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(tc_prod(_u10165, _u10165), tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u10165, _u10165), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u10165, _u10165), tc_HOL_Obool), tc_fun(tc_prod(_u10165, _u10165), tc_HOL_Obool))), tc_fun(_u10165, _u10164)), c_Product__Type_OPair(tc_fun(tc_prod(_u10165, _u10165), tc_HOL_Obool), tc_fun(tc_prod(_u10165, _u10165), tc_HOL_Obool)))), c_Relation_Oinv__image(_u10164, _u10165))))), c_Relation_Oinv__image(_u10164, _u10165)))) )).
% 39.91/40.14 cnf(matrix-4387, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10166), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10167), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10166, _u10167) = 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), _u10166), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10167))))) )).
% 39.91/40.14 cnf(matrix-4388, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10168), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10169), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10168), _u10169) = 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), _u10168), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10169))))) )).
% 39.91/40.14 cnf(matrix-4389, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10170)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10171), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10170, _u10171) = 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), _u10170), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10171))))) )).
% 39.91/40.14 cnf(matrix-4390, plain, ( ( hAPP(c_Product__Type_Ofst(_u10172, _u10173), _u10174) != hAPP(c_Product__Type_Ofst(_u10172, _u10173), _u10175)) | ( hAPP(c_Product__Type_Osnd(_u10172, _u10173), _u10174) != hAPP(c_Product__Type_Osnd(_u10172, _u10173), _u10175)) | ( _u10174 = _u10175) )).
% 39.91/40.14 cnf(matrix-4391, plain, ( ( _u10180 != _u10182) | ( hAPP(c_Product__Type_Ofst(_u10184, _u10186), _u10180) = hAPP(c_Product__Type_Ofst(_u10184, _u10186), _u10182)) )).
% 39.91/40.14 cnf(matrix-4392, plain, ( ( _u10180 != _u10182) | ( hAPP(c_Product__Type_Osnd(_u10184, _u10186), _u10180) = hAPP(c_Product__Type_Osnd(_u10184, _u10186), _u10182)) )).
% 39.91/40.14 cnf(matrix-4393, plain, ( ( hAPP(c_Product__Type_Ofst(_u10185, _u10187), _u10181) != hAPP(c_Product__Type_Ofst(_u10185, _u10187), _u10183)) | ( hAPP(c_Product__Type_Osnd(_u10185, _u10187), _u10181) != hAPP(c_Product__Type_Osnd(_u10185, _u10187), _u10183)) | ( _u10181 = _u10183) )).
% 39.91/40.14 cnf(matrix-4394, plain, ( ( _u10191 = _u10192) | ( hAPP(c_Product__Type_Osnd(_u10188, _u10189), hAPP(hAPP(c_Product__Type_OPair(_u10188, _u10189), _u10190), _u10191)) != _u10192) )).
% 39.91/40.14 cnf(matrix-4395, plain, ( ( _u10195 = _u10197) | ( hAPP(c_Product__Type_Ofst(_u10193, _u10194), hAPP(hAPP(c_Product__Type_OPair(_u10193, _u10194), _u10195), _u10196)) != _u10197) )).
% 39.91/40.14 cnf(matrix-4396, plain, ( ( hAPP(hAPP(c_Product__Type_OPair(_u10198, _u10199), hAPP(c_Product__Type_Ofst(_u10198, _u10199), _u10200)), hAPP(c_Product__Type_Osnd(_u10198, _u10199), _u10200)) = _u10200) )).
% 39.91/40.14 cnf(matrix-4397, plain, ( ( hAPP(c_Product__Type_Osnd(_u10201, _u10202), hAPP(hAPP(c_Product__Type_OPair(_u10201, _u10202), _u10203), _u10204)) = _u10204) )).
% 39.91/40.14 cnf(matrix-4398, plain, ( ( hAPP(c_Product__Type_Ofst(_u10205, _u10206), hAPP(hAPP(c_Product__Type_OPair(_u10205, _u10206), _u10207), _u10208)) = _u10207) )).
% 39.91/40.14 cnf(matrix-4399, plain, ( ( _u10209 = hAPP(hAPP(c_Product__Type_OPair(_u10210, _u10211), hAPP(c_Product__Type_Ofst(_u10210, _u10211), _u10209)), hAPP(c_Product__Type_Osnd(_u10210, _u10211), _u10209))) )).
% 39.91/40.14 cnf(matrix-4400, plain, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u10212, _u10213, _u10214), hAPP(c_Fun_Ocomp(_u10215, tc_fun(_u10213, _u10214), _u10212, _u10216), _u10217)), _u10218) = hAPP(hAPP(_u10216, hAPP(_u10217, hAPP(c_Product__Type_Ofst(_u10212, _u10213), _u10218))), hAPP(c_Product__Type_Osnd(_u10212, _u10213), _u10218))) )).
% 39.91/40.14 cnf(matrix-4401, plain, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u10219, _u10220, _u10221), _u10222), _u10223) = hAPP(hAPP(_u10222, hAPP(c_Product__Type_Ofst(_u10219, _u10220), _u10223)), hAPP(c_Product__Type_Osnd(_u10219, _u10220), _u10223))) )).
% 39.91/40.14 cnf(matrix-4402, plain, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u10224, _u10225, _u10226), _u10227), _u10228) = hAPP(hAPP(_u10227, hAPP(c_Product__Type_Ofst(_u10224, _u10225), _u10228)), hAPP(c_Product__Type_Osnd(_u10224, _u10225), _u10228))) )).
% 39.91/40.14 cnf(matrix-4403, plain, ( ( hAPP(hAPP(c_COMBS(tc_prod(_u10229, _u10230), _u10230, _u10231), hAPP(hAPP(c_COMBB(_u10232, tc_fun(_u10230, _u10231), tc_prod(_u10229, _u10230)), _u10233), hAPP(hAPP(c_COMBB(_u10229, _u10232, tc_prod(_u10229, _u10230)), _u10234), c_Product__Type_Ofst(_u10229, _u10230)))), c_Product__Type_Osnd(_u10229, _u10230)) = hAPP(c_Product__Type_Oprod_Oprod__case(_u10229, _u10230, _u10231), hAPP(hAPP(c_COMBB(_u10232, tc_fun(_u10230, _u10231), _u10229), _u10233), _u10234))) )).
% 39.91/40.14 cnf(matrix-4404, plain, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u10235, _u10236, _u10237), _u10238), _u10239) = hAPP(hAPP(_u10238, hAPP(c_Product__Type_Ofst(_u10235, _u10236), _u10239)), hAPP(c_Product__Type_Osnd(_u10235, _u10236), _u10239))) )).
% 39.91/40.14 cnf(matrix-4405, plain, ( ( c_HOL_OThe(tc_prod(_u10240, _u10241), hAPP(c_Product__Type_Oprod_Oprod__case(_u10240, _u10241, tc_HOL_Obool), _u10242)) = c_HOL_OThe(tc_prod(_u10240, _u10241), hAPP(hAPP(c_COMBS(tc_prod(_u10240, _u10241), _u10241, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u10240, tc_fun(_u10241, tc_HOL_Obool), tc_prod(_u10240, _u10241)), _u10242), c_Product__Type_Ofst(_u10240, _u10241))), c_Product__Type_Osnd(_u10240, _u10241)))) )).
% 39.91/40.14 cnf(matrix-4406, plain, ( ( hAPP(c_Product__Type_Ofst(_u10243, _u10244), _u10245) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u10243, _u10244, _u10243), c_COMBK(_u10243, _u10244)), _u10245)) )).
% 39.91/40.14 cnf(matrix-4407, plain, ( ( hAPP(c_Product__Type_Osnd(_u10246, _u10247), _u10248) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u10246, _u10247, _u10247), hAPP(c_COMBK(tc_fun(_u10247, _u10247), _u10246), c_COMBI(_u10247))), _u10248)) )).
% 39.91/40.14 cnf(matrix-4408, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10249), _u10250) = hAPP(c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint), c_Divides_Odivmod__int(_u10249, _u10250))) )).
% 39.91/40.14 cnf(matrix-4409, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10251, _u10252) = hAPP(c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint), c_Divides_Odivmod__int(_u10251, _u10252))) )).
% 39.91/40.14 cnf(matrix-4410, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10253), 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)), _u10254)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10253), _u10254) = hAPP(c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint), c_Divides_OnegDivAlg(_u10253, _u10254))) )).
% 39.91/40.14 cnf(matrix-4411, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10255), 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)), _u10256)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10255, _u10256) = hAPP(c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint), c_Divides_OnegDivAlg(_u10255, _u10256))) )).
% 39.91/40.14 cnf(matrix-4412, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10257)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10258)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10257), _u10258) = hAPP(c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint), c_Divides_OposDivAlg(_u10257, _u10258))) )).
% 39.91/40.14 cnf(matrix-4413, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10259)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10260)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10259, _u10260) = hAPP(c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint), c_Divides_OposDivAlg(_u10259, _u10260))) )).
% 39.91/40.14 cnf(matrix-4414, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10261)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10262), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10261), _u10262) = 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), _u10261), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10262))))) )).
% 39.91/40.14 cnf(matrix-4415, plain, ( ( c_Product__Type_Oprod_Oprod__size(_u10263, _u10264, _u10265, _u10266, _u10267) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u10265, hAPP(c_Product__Type_Ofst(_u10263, _u10264), _u10267))), hAPP(_u10266, hAPP(c_Product__Type_Osnd(_u10263, _u10264), _u10267)))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 39.91/40.14 cnf(matrix-4416, plain, ( ~hBOOL(hAPP(_u10268, _u10269)) | ~hBOOL(hAPP(_u10270, _u10271)) | hBOOL(hAPP(_u10268, hAPP(c_Product__Type_Ofst(_u10272, _u10273), hAPP(hAPP(c_Product__Type_OPair(_u10272, _u10273), _u10269), _u10271)))) )).
% 39.91/40.14 cnf(matrix-4417, plain, ( ~hBOOL(hAPP(_u10268, _u10269)) | ~hBOOL(hAPP(_u10270, _u10271)) | hBOOL(hAPP(_u10270, hAPP(c_Product__Type_Osnd(_u10272, _u10273), hAPP(hAPP(c_Product__Type_OPair(_u10272, _u10273), _u10269), _u10271)))) )).
% 39.91/40.14 cnf(matrix-4418, plain, ( ~hBOOL(hAPP(hAPP(_u10274, _u10275), _u10276)) | hBOOL(hAPP(hAPP(_u10274, hAPP(c_Product__Type_Osnd(_u10277, _u10278), hAPP(hAPP(c_Product__Type_OPair(_u10277, _u10278), _u10276), _u10275))), hAPP(c_Product__Type_Ofst(_u10277, _u10278), hAPP(hAPP(c_Product__Type_OPair(_u10277, _u10278), _u10276), _u10275)))) )).
% 39.91/40.14 cnf(matrix-4419, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10279)), 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), _u10279)) = 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), _u10279)))))) )).
% 39.91/40.14 cnf(matrix-4420, plain, ( ~class_Int_Onumber__ring(_u10280) | ~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), _u10281))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10280), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10281)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10280), _u10281)) )).
% 39.91/40.14 cnf(matrix-4421, plain, ( ~class_Int_Onumber__ring(_u10280) | 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), _u10281))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10280), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10281)) = c_Groups_Ozero__class_Ozero(_u10280)) )).
% 39.91/40.14 cnf(matrix-4422, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10282)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10282))) )).
% 39.91/40.14 cnf(matrix-4423, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10283)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10284)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10283), _u10284))) )).
% 39.91/40.14 cnf(matrix-4424, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10285) = _u10285) )).
% 39.91/40.14 cnf(matrix-4425, plain, ( ~class_Int_Onumber(_u10286) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10286), _u10287) != _u10288) | ( _u10288 = hAPP(c_Int_Onumber__class_Onumber__of(_u10286), _u10287)) )).
% 39.91/40.14 cnf(matrix-4426, plain, ( ~class_Int_Onumber(_u10286) | ( _u10288 != hAPP(c_Int_Onumber__class_Onumber__of(_u10286), _u10287)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10286), _u10287) = _u10288) )).
% 39.91/40.14 cnf(matrix-4427, plain, ( ~class_Int_Onumber__ring(_u10289) | ~class_Int_Oring__char__0(_u10289) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10289), _u10290) != hAPP(c_Int_Onumber__class_Onumber__of(_u10289), _u10291)) | ( _u10290 = _u10291) )).
% 39.91/40.14 cnf(matrix-4428, plain, ( ~class_Int_Onumber__ring(_u10289) | ~class_Int_Oring__char__0(_u10289) | ( _u10290 != _u10291) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10289), _u10290) = hAPP(c_Int_Onumber__class_Onumber__of(_u10289), _u10291)) )).
% 39.91/40.14 cnf(matrix-4429, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10292)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10293)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10292), _u10293))) )).
% 39.91/40.14 cnf(matrix-4430, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10296)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10298))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10296), _u10298)) )).
% 39.91/40.14 cnf(matrix-4431, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10297), _u10299)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10297)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10299))) )).
% 39.91/40.14 cnf(matrix-4432, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10302)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10304))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10302), _u10304)) )).
% 39.91/40.14 cnf(matrix-4433, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10303), _u10305)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10303)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10305))) )).
% 39.91/40.14 cnf(matrix-4434, plain, ( ~class_Int_Onumber(_u10306) | ~class_Orderings_Olinorder(_u10306) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10306), hAPP(c_Int_Onumber__class_Onumber__of(_u10306), _u10307)), hAPP(c_Int_Onumber__class_Onumber__of(_u10306), _u10308))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10306), hAPP(c_Int_Onumber__class_Onumber__of(_u10306), _u10308)), hAPP(c_Int_Onumber__class_Onumber__of(_u10306), _u10307))) )).
% 39.91/40.14 cnf(matrix-4435, plain, ( ~class_Int_Onumber(_u10306) | ~class_Orderings_Olinorder(_u10306) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10306), hAPP(c_Int_Onumber__class_Onumber__of(_u10306), _u10308)), hAPP(c_Int_Onumber__class_Onumber__of(_u10306), _u10307))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10306), hAPP(c_Int_Onumber__class_Onumber__of(_u10306), _u10307)), hAPP(c_Int_Onumber__class_Onumber__of(_u10306), _u10308))) )).
% 39.91/40.14 cnf(matrix-4436, plain, ( ~class_Int_Onumber(_u10309) | ~class_Rings_Osemiring(_u10309) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10309), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10309), _u10310), _u10311)), hAPP(c_Int_Onumber__class_Onumber__of(_u10309), _u10312)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10309), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10309), _u10310), hAPP(c_Int_Onumber__class_Onumber__of(_u10309), _u10312))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10309), _u10311), hAPP(c_Int_Onumber__class_Onumber__of(_u10309), _u10312)))) )).
% 39.91/40.14 cnf(matrix-4437, plain, ( ~class_Int_Onumber(_u10313) | ~class_Rings_Osemiring(_u10313) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10313), hAPP(c_Int_Onumber__class_Onumber__of(_u10313), _u10314)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10313), _u10315), _u10316)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10313), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10313), hAPP(c_Int_Onumber__class_Onumber__of(_u10313), _u10314)), _u10315)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10313), hAPP(c_Int_Onumber__class_Onumber__of(_u10313), _u10314)), _u10316))) )).
% 39.91/40.14 cnf(matrix-4438, plain, ( ~class_Int_Onumber(_u10317) | ~class_Rings_Oring(_u10317) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10317), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10317), _u10318), _u10319)), hAPP(c_Int_Onumber__class_Onumber__of(_u10317), _u10320)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10317), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10317), _u10318), hAPP(c_Int_Onumber__class_Onumber__of(_u10317), _u10320))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10317), _u10319), hAPP(c_Int_Onumber__class_Onumber__of(_u10317), _u10320)))) )).
% 39.91/40.14 cnf(matrix-4439, plain, ( ~class_Int_Onumber(_u10321) | ~class_Rings_Oring(_u10321) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10321), hAPP(c_Int_Onumber__class_Onumber__of(_u10321), _u10322)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10321), _u10323), _u10324)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10321), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10321), hAPP(c_Int_Onumber__class_Onumber__of(_u10321), _u10322)), _u10323)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10321), hAPP(c_Int_Onumber__class_Onumber__of(_u10321), _u10322)), _u10324))) )).
% 39.91/40.14 cnf(matrix-4440, plain, ( ~class_Int_Onumber__ring(_u10325) | ~class_Rings_Olinordered__idom(_u10325) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10325), hAPP(c_Int_Onumber__class_Onumber__of(_u10325), _u10326)), hAPP(c_Int_Onumber__class_Onumber__of(_u10325), _u10327))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10326), _u10327)) )).
% 39.91/40.14 cnf(matrix-4441, plain, ( ~class_Int_Onumber__ring(_u10325) | ~class_Rings_Olinordered__idom(_u10325) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10326), _u10327)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10325), hAPP(c_Int_Onumber__class_Onumber__of(_u10325), _u10326)), hAPP(c_Int_Onumber__class_Onumber__of(_u10325), _u10327))) )).
% 39.91/40.14 cnf(matrix-4442, plain, ( ~class_Int_Onumber__ring(_u10328) | ~class_Rings_Olinordered__idom(_u10328) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10328), hAPP(c_Int_Onumber__class_Onumber__of(_u10328), _u10329)), hAPP(c_Int_Onumber__class_Onumber__of(_u10328), _u10330))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10329), _u10330)) )).
% 39.91/40.14 cnf(matrix-4443, plain, ( ~class_Int_Onumber__ring(_u10328) | ~class_Rings_Olinordered__idom(_u10328) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10329), _u10330)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10328), hAPP(c_Int_Onumber__class_Onumber__of(_u10328), _u10329)), hAPP(c_Int_Onumber__class_Onumber__of(_u10328), _u10330))) )).
% 39.91/40.14 cnf(matrix-4444, plain, ( ~class_Int_Onumber(_u10331) | ~class_Orderings_Oord(_u10331) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10331), hAPP(c_Int_Onumber__class_Onumber__of(_u10331), _u10332)), hAPP(c_Int_Onumber__class_Onumber__of(_u10331), _u10333))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10331), hAPP(c_Int_Onumber__class_Onumber__of(_u10331), _u10332)), hAPP(c_Int_Onumber__class_Onumber__of(_u10331), _u10333)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10331), _u10332)) )).
% 39.91/40.14 cnf(matrix-4445, plain, ( ~class_Int_Onumber(_u10331) | ~class_Orderings_Oord(_u10331) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10331), hAPP(c_Int_Onumber__class_Onumber__of(_u10331), _u10332)), hAPP(c_Int_Onumber__class_Onumber__of(_u10331), _u10333))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10331), hAPP(c_Int_Onumber__class_Onumber__of(_u10331), _u10332)), hAPP(c_Int_Onumber__class_Onumber__of(_u10331), _u10333)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10331), _u10333)) )).
% 39.91/40.14 cnf(matrix-4446, plain, ( ~class_Int_Onumber(_u10334) | ~class_Orderings_Oord(_u10334) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10334), hAPP(c_Int_Onumber__class_Onumber__of(_u10334), _u10335)), hAPP(c_Int_Onumber__class_Onumber__of(_u10334), _u10336))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10334), hAPP(c_Int_Onumber__class_Onumber__of(_u10334), _u10335)), hAPP(c_Int_Onumber__class_Onumber__of(_u10334), _u10336)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10334), _u10336)) )).
% 39.91/40.14 cnf(matrix-4447, plain, ( ~class_Int_Onumber(_u10334) | ~class_Orderings_Oord(_u10334) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10334), hAPP(c_Int_Onumber__class_Onumber__of(_u10334), _u10335)), hAPP(c_Int_Onumber__class_Onumber__of(_u10334), _u10336))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10334), hAPP(c_Int_Onumber__class_Onumber__of(_u10334), _u10335)), hAPP(c_Int_Onumber__class_Onumber__of(_u10334), _u10336)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10334), _u10335)) )).
% 39.91/40.14 cnf(matrix-4448, plain, ( ~class_Int_Onumber__ring(_u10337) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10337), hAPP(c_Int_Onumber__class_Onumber__of(_u10337), _u10338)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10337), hAPP(c_Int_Onumber__class_Onumber__of(_u10337), _u10339)), _u10340)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10337), hAPP(c_Int_Onumber__class_Onumber__of(_u10337), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10338), _u10339))), _u10340)) )).
% 39.91/40.14 cnf(matrix-4449, plain, ( ~class_Int_Onumber__ring(_u10341) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10341), hAPP(c_Int_Onumber__class_Onumber__of(_u10341), _u10342)), hAPP(c_Int_Onumber__class_Onumber__of(_u10341), _u10343)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10341), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10342), _u10343))) )).
% 39.91/40.14 cnf(matrix-4450, plain, ( ~class_Int_Onumber__ring(_u10344) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10344), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10345), _u10346)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10344), hAPP(c_Int_Onumber__class_Onumber__of(_u10344), _u10345)), hAPP(c_Int_Onumber__class_Onumber__of(_u10344), _u10346))) )).
% 39.91/40.14 cnf(matrix-4451, plain, ( ~class_Int_Onumber__ring(_u10347) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10347), hAPP(c_Int_Onumber__class_Onumber__of(_u10347), _u10348)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10347), hAPP(c_Int_Onumber__class_Onumber__of(_u10347), _u10349)), _u10350)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10347), hAPP(c_Int_Onumber__class_Onumber__of(_u10347), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10348), _u10349))), _u10350)) )).
% 39.91/40.14 cnf(matrix-4452, plain, ( ~class_Int_Onumber__ring(_u10351) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10351), hAPP(c_Int_Onumber__class_Onumber__of(_u10351), _u10352)), hAPP(c_Int_Onumber__class_Onumber__of(_u10351), _u10353)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10351), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10352), _u10353))) )).
% 39.91/40.14 cnf(matrix-4453, plain, ( ~class_Int_Onumber__ring(_u10354) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10354), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10355), _u10356)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10354), hAPP(c_Int_Onumber__class_Onumber__of(_u10354), _u10355)), hAPP(c_Int_Onumber__class_Onumber__of(_u10354), _u10356))) )).
% 39.91/40.14 cnf(matrix-4454, plain, ( ~class_Int_Onumber__ring(_u10357) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10357), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10358), _u10359)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10357), hAPP(c_Int_Onumber__class_Onumber__of(_u10357), _u10358)), hAPP(c_Int_Onumber__class_Onumber__of(_u10357), _u10359))) )).
% 39.91/40.14 cnf(matrix-4455, plain, ( ~class_Int_Onumber__ring(_u10360) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10360), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10361)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u10360), hAPP(c_Int_Onumber__class_Onumber__of(_u10360), _u10361))) )).
% 39.91/40.14 cnf(matrix-4456, plain, ( ~class_Int_Onumber__ring(_u10362) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u10362), hAPP(c_Int_Onumber__class_Onumber__of(_u10362), _u10363)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10362), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10363))) )).
% 39.91/40.14 cnf(matrix-4457, plain, ( ~class_Int_Onumber__ring(_u10364) | hBOOL(hAPP(hAPP(c_member(_u10364), hAPP(c_Int_Onumber__class_Onumber__of(_u10364), _u10365)), c_Int_Oring__1__class_OInts(_u10364))) )).
% 39.91/40.14 cnf(matrix-4458, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u10366), _u10367) = hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), c_Divides_Odivmod__nat(_u10366, _u10367))) )).
% 39.91/40.14 cnf(matrix-4459, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10368, _u10369) = hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), c_Divides_Odivmod__nat(_u10368, _u10369))) )).
% 39.91/40.14 cnf(matrix-4460, plain, ( ~class_Int_Onumber__ring(_u10370) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10370), hAPP(c_Int_Onumber__class_Onumber__of(_u10370), _u10371)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10370), hAPP(c_Int_Onumber__class_Onumber__of(_u10370), _u10372)), _u10373)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10370), hAPP(c_Int_Onumber__class_Onumber__of(_u10370), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10371), _u10372))), _u10373)) )).
% 39.91/40.14 cnf(matrix-4461, plain, ( ~class_Int_Onumber__ring(_u10374) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10374), hAPP(c_Groups_Ouminus__class_Ouminus(_u10374), hAPP(c_Int_Onumber__class_Onumber__of(_u10374), _u10375))), _u10376) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10374), hAPP(c_Int_Onumber__class_Onumber__of(_u10374), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10375))), _u10376)) )).
% 39.91/40.14 cnf(matrix-4462, plain, ( ~class_Int_Onumber__ring(_u10377) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10377), hAPP(c_Int_Onumber__class_Onumber__of(_u10377), _u10378)), hAPP(c_Int_Onumber__class_Onumber__of(_u10377), _u10379)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10377), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10378), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10379)))) )).
% 39.91/40.14 cnf(matrix-4463, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u10383, _u10385), _u10387)) | ( _u10383 = 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), _u10387)), _u10385)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u10387))) )).
% 39.91/40.14 cnf(matrix-4464, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u10383, _u10385), _u10387)) | ( _u10385 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u10387) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.14 cnf(matrix-4465, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u10383, _u10385), _u10387)) | ( _u10385 = 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)), _u10385)) | 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), _u10387))) )).
% 39.91/40.14 cnf(matrix-4466, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u10383, _u10385), _u10387)) | ( _u10385 = 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)), _u10385)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u10387)), _u10385)) )).
% 39.91/40.14 cnf(matrix-4467, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u10383, _u10385), _u10387)) | ( _u10385 = 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)), _u10385)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10385), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u10387))) )).
% 39.91/40.14 cnf(matrix-4468, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u10383, _u10385), _u10387)) | ( _u10385 = 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)), _u10385)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u10387)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 39.91/40.14 cnf(matrix-4469, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u10384, _u10386), _u10388)) | ( _u10384 != 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), _u10388)), _u10386)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u10388))) | ( _u10386 = 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)), _u10386)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10386), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u10388))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u10388)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 39.91/40.14 cnf(matrix-4470, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u10384, _u10386), _u10388)) | ( _u10384 != 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), _u10388)), _u10386)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u10388))) | ( _u10386 = 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), _u10388))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u10388)), _u10386)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10386)) )).
% 39.91/40.14 cnf(matrix-4471, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u10384, _u10386), _u10388)) | ( _u10384 != 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), _u10388)), _u10386)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u10388))) | ( _u10386 = 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), _u10388))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u10388)), _u10386)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10386), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u10388))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u10388)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 39.91/40.14 cnf(matrix-4472, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u10384, _u10386), _u10388)) | ( _u10384 != 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), _u10388)), _u10386)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u10388))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u10388) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u10386 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.14 cnf(matrix-4473, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u10384, _u10386), _u10388)) | ( _u10384 != 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), _u10388)), _u10386)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u10388))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u10388) != 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)), _u10386)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10386), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u10388))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u10388)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 39.91/40.14 cnf(matrix-4474, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u10384, _u10386), _u10388)) | ( _u10384 != 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), _u10388)), _u10386)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u10388))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u10388) != 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), _u10388))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u10388)), _u10386)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10386)) )).
% 39.91/40.14 cnf(matrix-4475, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u10384, _u10386), _u10388)) | ( _u10384 != 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), _u10388)), _u10386)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u10388))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u10388) != 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), _u10388))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u10388)), _u10386)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10386), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u10388))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u10388)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 39.91/40.14 cnf(matrix-4476, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10389)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10390)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10389), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10390)))) )).
% 39.91/40.14 cnf(matrix-4477, plain, ( ~class_Int_Onumber__ring(_u10391) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10391), hAPP(c_Int_Onumber__class_Onumber__of(_u10391), _u10392)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10391), _u10393), hAPP(c_Int_Onumber__class_Onumber__of(_u10391), _u10394))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10391), hAPP(c_Int_Onumber__class_Onumber__of(_u10391), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10392), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10394)))), _u10393)) )).
% 39.91/40.14 cnf(matrix-4478, 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), _u10395))) | ( 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), _u10395)) = 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), _u10395)))) )).
% 39.91/40.14 cnf(matrix-4479, 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), _u10396))) | ( 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), _u10396)) = 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), _u10396)))) )).
% 39.91/40.14 cnf(matrix-4480, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10397)), 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), _u10397)) = 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), _u10397)))))) )).
% 39.91/40.14 cnf(matrix-4481, plain, ( ~class_Int_Onumber__ring(_u10398) | ~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), _u10399))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10398), hAPP(c_Int_Onumber__class_Onumber__of(_u10398), _u10400)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u10399))) = hAPP(hAPP(c_HOL_OLet(_u10398, _u10398), hAPP(hAPP(c_Power_Opower__class_Opower(_u10398), hAPP(c_Int_Onumber__class_Onumber__of(_u10398), _u10400)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10399))), hAPP(hAPP(c_COMBS(_u10398, _u10398, _u10398), hAPP(hAPP(c_COMBB(_u10398, tc_fun(_u10398, _u10398), _u10398), c_Groups_Otimes__class_Otimes(_u10398)), hAPP(c_Groups_Otimes__class_Otimes(_u10398), hAPP(c_Int_Onumber__class_Onumber__of(_u10398), _u10400)))), c_COMBI(_u10398)))) )).
% 39.91/40.14 cnf(matrix-4482, plain, ( ~class_Int_Onumber__ring(_u10398) | 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), _u10399))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10398), hAPP(c_Int_Onumber__class_Onumber__of(_u10398), _u10400)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u10399))) = c_Groups_Oone__class_Oone(_u10398)) )).
% 39.91/40.14 cnf(matrix-4483, plain, ( ~class_Orderings_Olinorder(_u10401) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10401), _u10402), _u10403)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10401, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10401, _u10402, _u10403)), hAPP(hAPP(c_Set_Oinsert(_u10401), _u10403), c_Orderings_Obot__class_Obot(tc_fun(_u10401, tc_HOL_Obool)))) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u10401, _u10402, _u10403)) )).
% 39.91/40.14 cnf(matrix-4484, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10404) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10405), _u10406)) | ~hBOOL(hAPP(hAPP(c_member(_u10405), _u10407), _u10406)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10405, _u10404), hAPP(hAPP(c_COMBC(_u10405, _u10404, _u10404), hAPP(hAPP(c_COMBS(_u10405, _u10404, tc_fun(_u10404, _u10404)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10404, tc_fun(_u10404, _u10404)), _u10405), c_If(_u10404)), hAPP(hAPP(c_COMBC(_u10405, _u10405, tc_HOL_Obool), c_fequal), _u10407))), _u10408)), _u10409)), _u10406) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10404), hAPP(_u10408, _u10407)), hAPP(hAPP(c_Power_Opower__class_Opower(_u10404), _u10409), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10405), _u10406)), c_Groups_Oone__class_Oone(tc_Nat_Onat))))) )).
% 39.91/40.14 cnf(matrix-4485, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10404) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10405), _u10406)) | hBOOL(hAPP(hAPP(c_member(_u10405), _u10407), _u10406)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10405, _u10404), hAPP(hAPP(c_COMBC(_u10405, _u10404, _u10404), hAPP(hAPP(c_COMBS(_u10405, _u10404, tc_fun(_u10404, _u10404)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10404, tc_fun(_u10404, _u10404)), _u10405), c_If(_u10404)), hAPP(hAPP(c_COMBC(_u10405, _u10405, tc_HOL_Obool), c_fequal), _u10407))), _u10408)), _u10409)), _u10406) = hAPP(hAPP(c_Power_Opower__class_Opower(_u10404), _u10409), hAPP(c_Finite__Set_Ocard(_u10405), _u10406))) )).
% 39.91/40.14 cnf(matrix-4486, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10410)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10410) = 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, _u10410)))) )).
% 39.91/40.14 cnf(matrix-4487, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u10411, _u10412))) )).
% 39.91/40.14 cnf(matrix-4488, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u10413, _u10414))) )).
% 39.91/40.14 cnf(matrix-4489, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10415) = hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10415))) )).
% 39.91/40.14 cnf(matrix-4490, plain, ( ( hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10416)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10416)) )).
% 39.91/40.14 cnf(matrix-4491, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u10417, _u10418)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10418), _u10417))) )).
% 39.91/40.14 cnf(matrix-4492, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u10421)), c_Int_OBit1(_u10423))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10421), _u10423)) )).
% 39.91/40.14 cnf(matrix-4493, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10422), _u10424)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u10422)), c_Int_OBit1(_u10424))) )).
% 39.91/40.14 cnf(matrix-4494, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u10427)), c_Int_OBit1(_u10429))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10427), _u10429)) )).
% 39.91/40.14 cnf(matrix-4495, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10428), _u10430)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u10428)), c_Int_OBit1(_u10430))) )).
% 39.91/40.14 cnf(matrix-4496, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u10433)), c_Int_OBit1(_u10435))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10433), _u10435)) )).
% 39.91/40.14 cnf(matrix-4497, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10434), _u10436)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u10434)), c_Int_OBit1(_u10436))) )).
% 39.91/40.14 cnf(matrix-4498, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u10439)), c_Int_OBit1(_u10441))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10439), _u10441)) )).
% 39.91/40.14 cnf(matrix-4499, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10440), _u10442)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u10440)), c_Int_OBit1(_u10442))) )).
% 39.91/40.14 cnf(matrix-4500, plain, ( ( hAPP(c_Int_Onat, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10443)) = _u10443) )).
% 39.91/40.14 cnf(matrix-4501, plain, ( ( c_Int_OBit1(_u10446) != c_Int_OBit1(_u10448)) | ( _u10446 = _u10448) )).
% 39.91/40.14 cnf(matrix-4502, plain, ( ( _u10447 != _u10449) | ( c_Int_OBit1(_u10447) = c_Int_OBit1(_u10449)) )).
% 39.91/40.14 cnf(matrix-4503, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10450) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10451, _u10450), hAPP(hAPP(c_COMBS(_u10451, _u10450, _u10450), hAPP(hAPP(c_COMBB(_u10450, tc_fun(_u10450, _u10450), _u10451), c_Groups_Otimes__class_Otimes(_u10450)), _u10452)), _u10453)), _u10454) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10450), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10451, _u10450), _u10452), _u10454)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10451, _u10450), _u10453), _u10454))) )).
% 39.91/40.14 cnf(matrix-4504, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10455) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10456, _u10455), hAPP(c_COMBK(_u10455, _u10456), c_Groups_Oone__class_Oone(_u10455))), _u10457) = c_Groups_Oone__class_Oone(_u10455)) )).
% 39.91/40.14 cnf(matrix-4505, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10458, tc_Nat_Onat), _u10459), _u10460) = hAPP(c_Int_Onat, hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10458, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u10458), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10459)), _u10460))) )).
% 39.91/40.14 cnf(matrix-4506, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10461) | ~class_Rings_Osemiring__1(_u10461) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10461), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10462, tc_Nat_Onat), _u10463), _u10464)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10462, _u10461), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u10461, _u10462), c_Nat_Osemiring__1__class_Oof__nat(_u10461)), _u10463)), _u10464)) )).
% 39.91/40.14 cnf(matrix-4507, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10465, tc_Nat_Onat), _u10466), _u10467)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10465, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u10465), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10466)), _u10467)) )).
% 39.91/40.14 cnf(matrix-4508, plain, ( ~class_Groups_Ocomm__monoid__add(_u10468) | ~class_Groups_Ocomm__monoid__mult(_u10468) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat, _u10468), _u10469), _u10470) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u10468), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u10468, tc_Int_Oint), _u10469), c_Int_Onat)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10470))) )).
% 39.91/40.14 cnf(matrix-4509, plain, ( ~class_Rings_Ocomm__semiring__1(_u10472) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10473), _u10474)) | ~hBOOL(hAPP(hAPP(c_member(_u10473), _u10471), _u10474)) | ( hAPP(_u10475, _u10471) != c_Groups_Ozero__class_Ozero(_u10472)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10473, _u10472), _u10475), _u10474) = c_Groups_Ozero__class_Ozero(_u10472)) )).
% 39.91/40.14 cnf(matrix-4510, plain, ( ~class_Rings_Ocomm__semiring__1(_u10478) | ~class_Rings_Ono__zero__divisors(_u10478) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10479), _u10480)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10479, _u10478), _u10481), _u10480) != c_Groups_Ozero__class_Ozero(_u10478)) | hBOOL(hAPP(hAPP(c_member(_u10479), skolem203(_u10481, _u10480, _u10479, _u10478)), _u10480)) )).
% 39.91/40.14 cnf(matrix-4511, plain, ( ~class_Rings_Ocomm__semiring__1(_u10478) | ~class_Rings_Ono__zero__divisors(_u10478) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10479), _u10480)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10479, _u10478), _u10481), _u10480) != c_Groups_Ozero__class_Ozero(_u10478)) | ( hAPP(_u10481, skolem203(_u10481, _u10480, _u10479, _u10478)) = c_Groups_Ozero__class_Ozero(_u10478)) )).
% 39.91/40.14 cnf(matrix-4512, plain, ( ~class_Rings_Ocomm__semiring__1(_u10478) | ~class_Rings_Ono__zero__divisors(_u10478) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10479), _u10480)) | ~hBOOL(hAPP(hAPP(c_member(_u10479), _u10477), _u10480)) | ( hAPP(_u10481, _u10477) != c_Groups_Ozero__class_Ozero(_u10478)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10479, _u10478), _u10481), _u10480) = c_Groups_Ozero__class_Ozero(_u10478)) )).
% 39.91/40.14 cnf(matrix-4513, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10482) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10483, _u10482), _u10484), c_Orderings_Obot__class_Obot(tc_fun(_u10483, tc_HOL_Obool))) = c_Groups_Oone__class_Oone(_u10482)) )).
% 39.91/40.14 cnf(matrix-4514, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10485) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10486, _u10485), _u10487), c_Orderings_Obot__class_Obot(tc_fun(_u10486, tc_HOL_Obool))) = c_Groups_Oone__class_Oone(_u10485)) )).
% 39.91/40.14 cnf(matrix-4515, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10488) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u10489), _u10490)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10489, _u10488), _u10491), _u10490) = c_Groups_Oone__class_Oone(_u10488)) )).
% 39.91/40.14 cnf(matrix-4516, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10492) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u10493), _u10494)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10493, _u10492), _u10495), _u10494) = c_Groups_Oone__class_Oone(_u10492)) )).
% 39.91/40.14 cnf(matrix-4517, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10498), _u10499)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10498, tc_Nat_Onat), _u10500), _u10499) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u10498), _u10496), _u10499)) | ( hAPP(_u10500, _u10496) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 39.91/40.14 cnf(matrix-4518, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10498), _u10499)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10498, tc_Nat_Onat), _u10500), _u10499) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u10498), skolem204(_u10500, _u10499, _u10498)), _u10499)) )).
% 39.91/40.14 cnf(matrix-4519, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10498), _u10499)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10498, tc_Nat_Onat), _u10500), _u10499) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(_u10500, skolem204(_u10500, _u10499, _u10498)) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 39.91/40.14 cnf(matrix-4520, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.91/40.14 cnf(matrix-4521, plain, ( ( hAPP(c_Int_Onat, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.14 cnf(matrix-4522, plain, ( ~hBOOL(hAPP(_u10506, _u10501)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem205(_u10506))) )).
% 39.91/40.14 cnf(matrix-4523, plain, ( ~hBOOL(hAPP(_u10506, _u10501)) | hBOOL(hAPP(_u10506, hAPP(c_Int_Onat, skolem205(_u10506)))) )).
% 39.91/40.14 cnf(matrix-4524, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10503)) | ~hBOOL(hAPP(_u10507, hAPP(c_Int_Onat, _u10503))) | hBOOL(hAPP(_u10507, skolem206(_u10507))) )).
% 39.91/40.14 cnf(matrix-4525, plain, ( ~hBOOL(hAPP(_u10513, skolem207(_u10513))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10509)) | hBOOL(hAPP(_u10513, hAPP(c_Int_Onat, _u10509))) )).
% 39.91/40.14 cnf(matrix-4526, plain, ( hBOOL(hAPP(_u10514, _u10511)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem208(_u10514))) )).
% 39.91/40.14 cnf(matrix-4527, plain, ( hBOOL(hAPP(_u10514, _u10511)) | ~hBOOL(hAPP(_u10514, hAPP(c_Int_Onat, skolem208(_u10514)))) )).
% 39.91/40.14 cnf(matrix-4528, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10515)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10516)) | ( hAPP(c_Int_Onat, _u10515) != hAPP(c_Int_Onat, _u10516)) | ( _u10515 = _u10516) )).
% 39.91/40.14 cnf(matrix-4529, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10515)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10516)) | ( _u10515 != _u10516) | ( hAPP(c_Int_Onat, _u10515) = hAPP(c_Int_Onat, _u10516)) )).
% 39.91/40.14 cnf(matrix-4530, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10517)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10518)) | ( hAPP(c_Int_Onat, _u10517) != hAPP(c_Int_Onat, _u10518)) | ( _u10517 = _u10518) )).
% 39.91/40.14 cnf(matrix-4531, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10517)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10518)) | ( _u10517 != _u10518) | ( hAPP(c_Int_Onat, _u10517) = hAPP(c_Int_Onat, _u10518)) )).
% 39.91/40.14 cnf(matrix-4532, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u10520)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10520), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.91/40.14 cnf(matrix-4533, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10521), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u10521)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.91/40.14 cnf(matrix-4534, plain, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onat, c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 39.91/40.14 cnf(matrix-4535, plain, ( ( c_Int_OBit1(_u10522) = 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)), _u10522)), _u10522)) )).
% 39.91/40.14 cnf(matrix-4536, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10523) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10524), _u10525)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10524, _u10523), hAPP(hAPP(c_COMBS(_u10524, _u10523, _u10523), hAPP(hAPP(c_COMBB(_u10523, tc_fun(_u10523, _u10523), _u10524), c_Groups_Otimes__class_Otimes(_u10523)), _u10526)), _u10527)), _u10525) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10523), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10524, _u10523), _u10526), _u10525)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10524, _u10523), _u10527), _u10525))) )).
% 39.91/40.14 cnf(matrix-4537, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u10528), _u10529) = 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)), _u10528)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10529)))) )).
% 39.91/40.14 cnf(matrix-4538, 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)), _u10530)) = _u10530) )).
% 39.91/40.14 cnf(matrix-4539, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10533), _u10534)) | ~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(_u10533, tc_Nat_Onat), _u10535), _u10534))) | ~hBOOL(hAPP(hAPP(c_member(_u10533), _u10531), _u10534)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u10535, _u10531))) )).
% 39.91/40.14 cnf(matrix-4540, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10533), _u10534)) | 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(_u10533, tc_Nat_Onat), _u10535), _u10534))) | hBOOL(hAPP(hAPP(c_member(_u10533), skolem209(_u10535, _u10534, _u10533)), _u10534)) )).
% 39.91/40.14 cnf(matrix-4541, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10533), _u10534)) | 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(_u10533, tc_Nat_Onat), _u10535), _u10534))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u10535, skolem209(_u10535, _u10534, _u10533)))) )).
% 39.91/40.14 cnf(matrix-4542, plain, ( ~class_Orderings_Oorder(_u10536) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10536), _u10537), _u10538)) | ( c_SetInterval_Oord__class_OgreaterThanAtMost(_u10536, _u10538, _u10537) = c_Orderings_Obot__class_Obot(tc_fun(_u10536, tc_HOL_Obool))) )).
% 39.91/40.14 cnf(matrix-4543, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10539) | ~c_Fun_Oinj__on(_u10540, _u10541, _u10542, _u10543) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10541, _u10539), _u10544), hAPP(c_Set_Oimage(_u10540, _u10541, _u10542), _u10543)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10540, _u10539), hAPP(c_Fun_Ocomp(_u10541, _u10539, _u10540, _u10544), _u10542)), _u10543)) )).
% 39.91/40.14 cnf(matrix-4544, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10545) | ~c_Fun_Oinj__on(_u10546, _u10547, _u10548, _u10549) | ( _u10550 != hAPP(c_Set_Oimage(_u10546, _u10547, _u10548), _u10549)) | ( _u10551 != hAPP(c_Fun_Ocomp(_u10547, _u10545, _u10546, _u10552), _u10548)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10547, _u10545), _u10552), _u10550) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10546, _u10545), _u10551), _u10549)) )).
% 39.91/40.14 cnf(matrix-4545, plain, ( ~class_Orderings_Oorder(_u10553) | ( c_Orderings_Obot__class_Obot(tc_fun(_u10553, tc_HOL_Obool)) != c_SetInterval_Oord__class_OgreaterThanAtMost(_u10553, _u10554, _u10555)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10553), _u10554), _u10555)) )).
% 39.91/40.14 cnf(matrix-4546, plain, ( ~class_Orderings_Oorder(_u10553) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10553), _u10554), _u10555)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u10553, tc_HOL_Obool)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u10553, _u10554, _u10555)) )).
% 39.91/40.14 cnf(matrix-4547, plain, ( ~class_Orderings_Oorder(_u10556) | ( c_SetInterval_Oord__class_OgreaterThanAtMost(_u10556, _u10557, _u10558) != c_Orderings_Obot__class_Obot(tc_fun(_u10556, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10556), _u10557), _u10558)) )).
% 39.91/40.14 cnf(matrix-4548, plain, ( ~class_Orderings_Oorder(_u10556) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10556), _u10557), _u10558)) | ( c_SetInterval_Oord__class_OgreaterThanAtMost(_u10556, _u10557, _u10558) = c_Orderings_Obot__class_Obot(tc_fun(_u10556, tc_HOL_Obool))) )).
% 39.91/40.14 cnf(matrix-4549, plain, ( ~class_Orderings_Olinorder(_u10559) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10559), _u10560), _u10561)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10559), _u10561), _u10562)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10559, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10559, _u10560, _u10561)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10559, _u10561, _u10562)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u10559, _u10560, _u10562)) )).
% 39.91/40.14 cnf(matrix-4550, 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)))) )).
% 39.91/40.14 cnf(matrix-4551, plain, ( ~class_Orderings_Oorder(_u10563) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10563, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10563, _u10564, _u10565)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10563, _u10565, _u10566)) = c_Orderings_Obot__class_Obot(tc_fun(_u10563, tc_HOL_Obool))) )).
% 39.91/40.14 cnf(matrix-4552, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10567), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onat, _u10567) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.14 cnf(matrix-4553, plain, ( ( hAPP(c_Int_Onat, _u10569) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10569), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.91/40.14 cnf(matrix-4554, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10570), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onat, _u10570) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.14 cnf(matrix-4555, 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), _u10571)) = 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), _u10571)))) )).
% 39.91/40.14 cnf(matrix-4556, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u10574)), hAPP(c_Int_Onat, _u10576))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10576)) )).
% 39.91/40.14 cnf(matrix-4557, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u10574)), hAPP(c_Int_Onat, _u10576))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10574), _u10576)) )).
% 39.91/40.14 cnf(matrix-4558, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10577)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10575), _u10577)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u10575)), hAPP(c_Int_Onat, _u10577))) )).
% 39.91/40.14 cnf(matrix-4559, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10578)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u10579)), hAPP(c_Int_Onat, _u10578))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10579), _u10578)) )).
% 39.91/40.14 cnf(matrix-4560, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10578)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10579), _u10578)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u10579)), hAPP(c_Int_Onat, _u10578))) )).
% 39.91/40.14 cnf(matrix-4561, plain, ( ~class_Int_Onumber__ring(_u10580) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10580), c_Int_OBit1(_u10581)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10580), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10580), c_Groups_Oone__class_Oone(_u10580)), hAPP(c_Int_Onumber__class_Onumber__of(_u10580), _u10581))), hAPP(c_Int_Onumber__class_Onumber__of(_u10580), _u10581))) )).
% 39.91/40.14 cnf(matrix-4562, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10582)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10583)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u10582)), hAPP(c_Int_Onat, _u10583))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10582), _u10583)) )).
% 39.91/40.14 cnf(matrix-4563, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10582)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10583)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10582), _u10583)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u10582)), hAPP(c_Int_Onat, _u10583))) )).
% 39.91/40.14 cnf(matrix-4564, 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))) )).
% 39.91/40.14 cnf(matrix-4565, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10584) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10585), _u10586)) | ~hBOOL(hAPP(hAPP(c_member(_u10585), _u10587), _u10586)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10585, _u10584), hAPP(hAPP(c_COMBC(_u10585, _u10584, _u10584), hAPP(hAPP(c_COMBS(_u10585, _u10584, tc_fun(_u10584, _u10584)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10584, tc_fun(_u10584, _u10584)), _u10585), c_If(_u10584)), hAPP(c_fequal, _u10587))), _u10588)), c_Groups_Oone__class_Oone(_u10584))), _u10586) = hAPP(_u10588, _u10587)) )).
% 39.91/40.14 cnf(matrix-4566, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10584) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10585), _u10586)) | hBOOL(hAPP(hAPP(c_member(_u10585), _u10587), _u10586)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10585, _u10584), hAPP(hAPP(c_COMBC(_u10585, _u10584, _u10584), hAPP(hAPP(c_COMBS(_u10585, _u10584, tc_fun(_u10584, _u10584)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10584, tc_fun(_u10584, _u10584)), _u10585), c_If(_u10584)), hAPP(c_fequal, _u10587))), _u10588)), c_Groups_Oone__class_Oone(_u10584))), _u10586) = c_Groups_Oone__class_Oone(_u10584)) )).
% 39.91/40.14 cnf(matrix-4567, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10589) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10590), _u10591)) | ~hBOOL(hAPP(hAPP(c_member(_u10590), _u10592), _u10591)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10590, _u10589), hAPP(hAPP(c_COMBC(_u10590, _u10589, _u10589), hAPP(hAPP(c_COMBS(_u10590, _u10589, tc_fun(_u10589, _u10589)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10589, tc_fun(_u10589, _u10589)), _u10590), c_If(_u10589)), hAPP(hAPP(c_COMBC(_u10590, _u10590, tc_HOL_Obool), c_fequal), _u10592))), _u10593)), c_Groups_Oone__class_Oone(_u10589))), _u10591) = hAPP(_u10593, _u10592)) )).
% 39.91/40.14 cnf(matrix-4568, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10589) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10590), _u10591)) | hBOOL(hAPP(hAPP(c_member(_u10590), _u10592), _u10591)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10590, _u10589), hAPP(hAPP(c_COMBC(_u10590, _u10589, _u10589), hAPP(hAPP(c_COMBS(_u10590, _u10589, tc_fun(_u10589, _u10589)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10589, tc_fun(_u10589, _u10589)), _u10590), c_If(_u10589)), hAPP(hAPP(c_COMBC(_u10590, _u10590, tc_HOL_Obool), c_fequal), _u10592))), _u10593)), c_Groups_Oone__class_Oone(_u10589))), _u10591) = c_Groups_Oone__class_Oone(_u10589)) )).
% 39.91/40.14 cnf(matrix-4569, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10594)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u10594)) = _u10594) )).
% 39.91/40.14 cnf(matrix-4570, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10597) != _u10599) | ( _u10597 = hAPP(c_Int_Onat, _u10599)) )).
% 39.91/40.14 cnf(matrix-4571, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10597) != _u10599) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10599)) )).
% 39.91/40.14 cnf(matrix-4572, plain, ( ( _u10598 != hAPP(c_Int_Onat, _u10600)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10600)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10598) = _u10600) )).
% 39.91/40.14 cnf(matrix-4573, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10602)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u10602)) = _u10602) )).
% 39.91/40.14 cnf(matrix-4574, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10603)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u10603)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 39.91/40.14 cnf(matrix-4575, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10606), hAPP(c_Int_Onat, _u10608))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10606)), _u10608)) )).
% 39.91/40.14 cnf(matrix-4576, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10607)), _u10609)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10607), hAPP(c_Int_Onat, _u10609))) )).
% 39.91/40.14 cnf(matrix-4577, 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), _u10610))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.14 cnf(matrix-4578, plain, ( ~class_Int_Onumber__ring(_u10611) | ~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), _u10612))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10611), _u10613), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u10612))) = hAPP(hAPP(c_HOL_OLet(_u10611, _u10611), hAPP(hAPP(c_Power_Opower__class_Opower(_u10611), _u10613), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10612))), hAPP(hAPP(c_COMBS(_u10611, _u10611, _u10611), hAPP(hAPP(c_COMBB(_u10611, tc_fun(_u10611, _u10611), _u10611), c_Groups_Otimes__class_Otimes(_u10611)), hAPP(c_Groups_Otimes__class_Otimes(_u10611), _u10613))), c_COMBI(_u10611)))) )).
% 39.91/40.14 cnf(matrix-4579, plain, ( ~class_Int_Onumber__ring(_u10611) | 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), _u10612))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10611), _u10613), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u10612))) = c_Groups_Oone__class_Oone(_u10611)) )).
% 39.91/40.14 cnf(matrix-4580, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u10614, _u10615)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10615), _u10614)) )).
% 39.91/40.14 cnf(matrix-4581, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10616) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10617), _u10618)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10617, _u10616), hAPP(c_COMBK(_u10616, _u10617), _u10619)), _u10618) = hAPP(hAPP(c_Power_Opower__class_Opower(_u10616), _u10619), hAPP(c_Finite__Set_Ocard(_u10617), _u10618))) )).
% 39.91/40.14 cnf(matrix-4582, 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), _u10622))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u10624), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u10622))) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u10624), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10622))), 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), _u10624))), c_COMBI(tc_Int_Oint)))) )).
% 39.91/40.14 cnf(matrix-4583, 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), _u10623))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u10625), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u10623))) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 39.91/40.14 cnf(matrix-4584, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10626) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10627), _u10628)) | hBOOL(hAPP(hAPP(c_member(_u10627), _u10629), _u10628)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10627, _u10626), _u10630), hAPP(hAPP(c_Set_Oinsert(_u10627), _u10629), _u10628)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10626), hAPP(_u10630, _u10629)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10627, _u10626), _u10630), _u10628))) )).
% 39.91/40.14 cnf(matrix-4585, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10631) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10632), _u10633)) | hBOOL(hAPP(hAPP(c_member(_u10632), _u10634), _u10633)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10632, _u10631), _u10635), hAPP(hAPP(c_Set_Oinsert(_u10632), _u10634), _u10633)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10631), hAPP(_u10635, _u10634)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10632, _u10631), _u10635), _u10633))) )).
% 39.91/40.14 cnf(matrix-4586, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10636) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10637), _u10638)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10637), _u10639)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10636), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10637, _u10636), _u10640), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10637, tc_HOL_Obool)), _u10638), _u10639))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10637, _u10636), _u10640), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10637, tc_HOL_Obool)), _u10638), _u10639))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10636), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10637, _u10636), _u10640), _u10638)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10637, _u10636), _u10640), _u10639))) )).
% 39.91/40.14 cnf(matrix-4587, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10641) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10642), _u10643)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10642), _u10644)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10641), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10642, _u10641), _u10645), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10642, tc_HOL_Obool)), _u10643), _u10644))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10642, _u10641), _u10645), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10642, tc_HOL_Obool)), _u10643), _u10644))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10641), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10642, _u10641), _u10645), _u10643)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10642, _u10641), _u10645), _u10644))) )).
% 39.91/40.14 cnf(matrix-4588, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10646) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10647), _u10648)) | ~c_Fun_Oinj__on(_u10647, _u10647, _u10649, _u10648) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10647, _u10646), _u10650), hAPP(c_Set_Oimage(_u10647, _u10647, _u10649), _u10648)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10647, _u10646), hAPP(c_Fun_Ocomp(_u10647, _u10646, _u10647, _u10650), _u10649)), _u10648)) )).
% 39.91/40.14 cnf(matrix-4589, plain, ( ~class_Groups_Ocomm__monoid__add(_u10651) | ~class_Groups_Ocomm__monoid__mult(_u10651) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10651), _u10652), _u10653) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u10651), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u10651, tc_Int_Oint), _u10652), c_Int_Onat)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10653))) )).
% 39.91/40.14 cnf(matrix-4590, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10654) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10655), _u10656)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10655, _u10654), _u10657), _u10656) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u10654, _u10655, c_Groups_Otimes__class_Otimes(_u10654)), _u10657), c_Groups_Oone__class_Oone(_u10654)), _u10656)) )).
% 39.91/40.14 cnf(matrix-4591, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10654) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u10655), _u10656)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10655, _u10654), _u10657), _u10656) = c_Groups_Oone__class_Oone(_u10654)) )).
% 39.91/40.14 cnf(matrix-4592, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10658) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10659), _u10660)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10659, _u10658), _u10661), _u10660) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u10658, _u10659, c_Groups_Otimes__class_Otimes(_u10658)), _u10661), c_Groups_Oone__class_Oone(_u10658)), _u10660)) )).
% 39.91/40.14 cnf(matrix-4593, 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)), _u10662)) = hAPP(c_Int_Onat, _u10662)) )).
% 39.91/40.14 cnf(matrix-4594, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u10663), _u10664)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10664), _u10663))) )).
% 39.91/40.14 cnf(matrix-4595, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Int_Onat, _u10666))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10666)) )).
% 39.91/40.14 cnf(matrix-4596, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10667)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Int_Onat, _u10667))) )).
% 39.91/40.14 cnf(matrix-4597, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10668)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10669)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u10668)), hAPP(c_Int_Onat, _u10669))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10668), _u10669)) )).
% 39.91/40.14 cnf(matrix-4598, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10668)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10669)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10668), _u10669)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u10668)), hAPP(c_Int_Onat, _u10669))) )).
% 39.91/40.14 cnf(matrix-4599, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10670)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u10670)), hAPP(c_Int_Onat, _u10671))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10670), _u10671)) )).
% 39.91/40.14 cnf(matrix-4600, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10670)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10670), _u10671)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u10670)), hAPP(c_Int_Onat, _u10671))) )).
% 39.91/40.14 cnf(matrix-4601, plain, ( ( _u10674 != hAPP(c_Int_Onat, _u10676)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10676)) | ( _u10676 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10674)) )).
% 39.91/40.14 cnf(matrix-4602, plain, ( ( _u10674 != hAPP(c_Int_Onat, _u10676)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10676)) | ( _u10674 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.14 cnf(matrix-4603, plain, ( ( _u10675 = hAPP(c_Int_Onat, _u10677)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10677)) | ( _u10675 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.14 cnf(matrix-4604, plain, ( ( _u10675 = hAPP(c_Int_Onat, _u10677)) | ( _u10677 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10675)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10677)) )).
% 39.91/40.14 cnf(matrix-4605, plain, ( ( _u10675 = hAPP(c_Int_Onat, _u10677)) | ( _u10677 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10675)) | ( _u10675 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.14 cnf(matrix-4606, plain, ( ( hAPP(c_Int_Onat, _u10680) != _u10682) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10680)) | ( _u10680 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10682)) )).
% 39.91/40.14 cnf(matrix-4607, plain, ( ( hAPP(c_Int_Onat, _u10680) != _u10682) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10680)) | ( _u10682 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.14 cnf(matrix-4608, plain, ( ( hAPP(c_Int_Onat, _u10681) = _u10683) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10681)) | ( _u10683 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.14 cnf(matrix-4609, plain, ( ( hAPP(c_Int_Onat, _u10681) = _u10683) | ( _u10681 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10683)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10681)) )).
% 39.91/40.14 cnf(matrix-4610, plain, ( ( hAPP(c_Int_Onat, _u10681) = _u10683) | ( _u10681 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10683)) | ( _u10683 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.14 cnf(matrix-4611, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10684)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u10684)), hAPP(c_Int_Onat, _u10685))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10684), _u10685)) )).
% 39.91/40.14 cnf(matrix-4612, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10684)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10684), _u10685)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u10684)), hAPP(c_Int_Onat, _u10685))) )).
% 39.91/40.14 cnf(matrix-4613, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10685)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u10684)), hAPP(c_Int_Onat, _u10685))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10684), _u10685)) )).
% 39.91/40.14 cnf(matrix-4614, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10685)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10684), _u10685)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u10684)), hAPP(c_Int_Onat, _u10685))) )).
% 39.91/40.14 cnf(matrix-4615, plain, ( ~hBOOL(hAPP(_u10690, hAPP(c_Int_Onat, _u10692))) | ( _u10692 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10686)) | hBOOL(hAPP(_u10690, _u10686)) )).
% 39.91/40.14 cnf(matrix-4616, plain, ( ~hBOOL(hAPP(_u10690, hAPP(c_Int_Onat, _u10692))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10692), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(_u10690, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 39.91/40.14 cnf(matrix-4617, plain, ( hBOOL(hAPP(_u10691, hAPP(c_Int_Onat, _u10693))) | ( _u10693 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem210(_u10693, _u10691))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10693), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.91/40.14 cnf(matrix-4618, plain, ( hBOOL(hAPP(_u10691, hAPP(c_Int_Onat, _u10693))) | ( _u10693 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem210(_u10693, _u10691))) | ~hBOOL(hAPP(_u10691, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 39.91/40.14 cnf(matrix-4619, plain, ( hBOOL(hAPP(_u10691, hAPP(c_Int_Onat, _u10693))) | ~hBOOL(hAPP(_u10691, skolem210(_u10693, _u10691))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10693), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.91/40.14 cnf(matrix-4620, plain, ( hBOOL(hAPP(_u10691, hAPP(c_Int_Onat, _u10693))) | ~hBOOL(hAPP(_u10691, skolem210(_u10693, _u10691))) | ~hBOOL(hAPP(_u10691, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 39.91/40.14 cnf(matrix-4621, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10694)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10695)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onat, _u10694)), hAPP(c_Int_Onat, _u10695)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10694), _u10695))) )).
% 39.91/40.14 cnf(matrix-4622, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10696)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10697)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10696), _u10697)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onat, _u10696)), hAPP(c_Int_Onat, _u10697))) )).
% 39.91/40.14 cnf(matrix-4623, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10700) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10702)) | ( _u10700 = hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10702))) )).
% 39.91/40.14 cnf(matrix-4624, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10700) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10702)) | 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), _u10702))) )).
% 39.91/40.14 cnf(matrix-4625, plain, ( ( _u10701 != hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10703))) | ~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), _u10703))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10701) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10703)) )).
% 39.91/40.14 cnf(matrix-4626, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10704)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10705)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, _u10704)), hAPP(c_Int_Onat, _u10705)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10704), _u10705))) )).
% 39.91/40.14 cnf(matrix-4627, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10706)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10706), _u10707)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, _u10706)), hAPP(c_Int_Onat, _u10707))) )).
% 39.91/40.14 cnf(matrix-4628, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u10708), _u10709) = 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)), _u10708)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10709)))) )).
% 39.91/40.14 cnf(matrix-4629, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10710)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10710), _u10711)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10711), _u10710)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u10711)), hAPP(c_Int_Onat, _u10710))) )).
% 39.91/40.14 cnf(matrix-4630, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10712, tc_Nat_Onat), _u10713), _u10714) = hAPP(c_Int_Onat, hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10712, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u10712), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10713)), _u10714))) )).
% 39.91/40.14 cnf(matrix-4631, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10715)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10716)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onat, _u10715), hAPP(c_Int_Onat, _u10716)) = hAPP(c_Int_Onat, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10715, _u10716))) )).
% 39.91/40.14 cnf(matrix-4632, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10717)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10718)) | ( hAPP(c_Int_Onat, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10717, _u10718)) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onat, _u10717), hAPP(c_Int_Onat, _u10718))) )).
% 39.91/40.14 cnf(matrix-4633, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10719)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10720)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onat, _u10719)), hAPP(c_Int_Onat, _u10720)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10719), _u10720))) )).
% 39.91/40.14 cnf(matrix-4634, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10721)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10721), _u10722)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onat, _u10721)), hAPP(c_Int_Onat, _u10722))) )).
% 39.91/40.14 cnf(matrix-4635, plain, ( ~class_Orderings_Olinorder(_u10723) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10723, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10723, _u10724, _u10725)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10723, _u10726, _u10727)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u10723, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10723), _u10724), _u10726), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10723), _u10725), _u10727))) )).
% 39.91/40.14 cnf(matrix-4636, plain, ( ~class_Groups_Oordered__ab__group__add(_u10728) | ( hAPP(c_Set_Oimage(_u10728, _u10728, c_Groups_Ouminus__class_Ouminus(_u10728)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10728, _u10729), _u10730)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u10728, hAPP(c_Groups_Ouminus__class_Ouminus(_u10728), _u10730), hAPP(c_Groups_Ouminus__class_Ouminus(_u10728), _u10729))) )).
% 39.91/40.14 cnf(matrix-4637, plain, ( ~class_Groups_Oordered__ab__group__add(_u10731) | ( hAPP(c_Set_Oimage(_u10731, _u10731, c_Groups_Ouminus__class_Ouminus(_u10731)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10731, _u10732, _u10733)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10731, hAPP(c_Groups_Ouminus__class_Ouminus(_u10731), _u10733)), hAPP(c_Groups_Ouminus__class_Ouminus(_u10731), _u10732))) )).
% 39.91/40.14 cnf(matrix-4638, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10734)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onat, _u10734)), _u10735) = hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u10734), _u10735))) )).
% 39.91/40.14 cnf(matrix-4639, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10736)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u10736), _u10737)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onat, _u10736)), _u10737)) )).
% 39.91/40.14 cnf(matrix-4640, plain, ( ~class_Orderings_Oorder(_u10738) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10738, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10738, _u10739, _u10740)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10738, _u10740, _u10741)) = c_Orderings_Obot__class_Obot(tc_fun(_u10738, tc_HOL_Obool))) )).
% 39.91/40.14 cnf(matrix-4641, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10742)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10743)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u10742)), hAPP(c_Int_Onat, _u10743)) = hAPP(c_Int_Onat, c_Nat__Transfer_Otsub(_u10742, _u10743))) )).
% 39.91/40.14 cnf(matrix-4642, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10744) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10745), _u10746)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10745, _u10744), _u10747), hAPP(hAPP(c_Set_Oinsert(_u10745), _u10748), _u10746)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10744), hAPP(_u10747, _u10748)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10745, _u10744), _u10747), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10745, tc_HOL_Obool)), _u10746), hAPP(hAPP(c_Set_Oinsert(_u10745), _u10748), c_Orderings_Obot__class_Obot(tc_fun(_u10745, tc_HOL_Obool))))))) )).
% 39.91/40.14 cnf(matrix-4643, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10749) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10750), _u10751)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10750), _u10752)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10750, tc_HOL_Obool)), _u10751), _u10752) != c_Orderings_Obot__class_Obot(tc_fun(_u10750, tc_HOL_Obool))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10750, _u10749), _u10753), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10750, tc_HOL_Obool)), _u10751), _u10752)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10749), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10750, _u10749), _u10753), _u10751)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10750, _u10749), _u10753), _u10752))) )).
% 39.91/40.14 cnf(matrix-4644, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10754) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10755), _u10756)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10755), _u10757)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10755, tc_HOL_Obool)), _u10756), _u10757) != c_Orderings_Obot__class_Obot(tc_fun(_u10755, tc_HOL_Obool))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10755, _u10754), _u10758), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10755, tc_HOL_Obool)), _u10756), _u10757)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10754), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10755, _u10754), _u10758), _u10756)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10755, _u10754), _u10758), _u10757))) )).
% 39.91/40.14 cnf(matrix-4645, 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, _u10760))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u10760)) )).
% 39.91/40.14 cnf(matrix-4646, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u10761)) | 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, _u10761))) )).
% 39.91/40.14 cnf(matrix-4647, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10762)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u10762)), _u10763)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10762), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10763))) )).
% 39.91/40.14 cnf(matrix-4648, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10762)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10762), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10763))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u10762)), _u10763)) )).
% 39.91/40.14 cnf(matrix-4649, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10764)) | ( hAPP(c_Nat_OSuc, hAPP(c_Int_Onat, _u10764)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u10764))) )).
% 39.91/40.14 cnf(matrix-4650, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10765), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10765), _u10766)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10765))), hAPP(c_Int_Onat, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10766)))) )).
% 39.91/40.14 cnf(matrix-4651, plain, ( ( hAPP(c_Set_OCollect(tc_Nat_Onat), _u10767) = 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), _u10767), c_Int_Onat))))) )).
% 39.91/40.14 cnf(matrix-4652, 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), _u10768))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10768) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10768)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 39.91/40.14 cnf(matrix-4653, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10769) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10770), _u10771)) | ~hBOOL(hAPP(hAPP(c_member(_u10770), _u10772), _u10771)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10770, _u10769), _u10773), _u10771) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10769), hAPP(_u10773, _u10772)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10770, _u10769), _u10773), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10770, tc_HOL_Obool)), _u10771), hAPP(hAPP(c_Set_Oinsert(_u10770), _u10772), c_Orderings_Obot__class_Obot(tc_fun(_u10770, tc_HOL_Obool))))))) )).
% 39.91/40.14 cnf(matrix-4654, plain, ( ~class_Orderings_Olinorder(_u10774) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10774), _u10775), _u10776)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10774), _u10776), _u10777)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10774, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10774, _u10775, _u10776)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10774, _u10776, _u10777)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u10774, _u10775, _u10777)) )).
% 39.91/40.14 cnf(matrix-4655, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u10778, _u10779)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10779), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10778), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 39.91/40.14 cnf(matrix-4656, plain, ( ( c_Int_Onat__aux(_u10780, _u10781) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onat, _u10780)), _u10781)) )).
% 39.91/40.14 cnf(matrix-4657, 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))) )).
% 39.91/40.14 cnf(matrix-4658, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10783))) | ( 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), _u10783)) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 39.91/40.14 cnf(matrix-4659, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10784))) | ( 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), _u10784)) = 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), _u10784)))) )).
% 39.91/40.14 cnf(matrix-4660, plain, ( ( hAPP(c_Int_Onat, _u10785) = 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, _u10785)), 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))))))) )).
% 39.91/40.14 cnf(matrix-4661, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.91/40.14 cnf(matrix-4662, plain, ( ( hAPP(c_Int_ORep__Integ, _u10788) != hAPP(c_Int_ORep__Integ, _u10790)) | ( _u10788 = _u10790) )).
% 39.91/40.14 cnf(matrix-4663, plain, ( ( _u10789 != _u10791) | ( hAPP(c_Int_ORep__Integ, _u10789) = hAPP(c_Int_ORep__Integ, _u10791)) )).
% 39.91/40.14 cnf(matrix-4664, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 39.91/40.14 cnf(matrix-4665, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10792))) )).
% 39.91/40.14 cnf(matrix-4666, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, _u10794)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10794)) )).
% 39.91/40.14 cnf(matrix-4667, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10795)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u10795)) )).
% 39.91/40.14 cnf(matrix-4668, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u10797)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10797), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.91/40.14 cnf(matrix-4669, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10798), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, _u10798)) )).
% 39.91/40.14 cnf(matrix-4670, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u10799)) | ( hAPP(c_Int_Onat, _u10799) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.14 cnf(matrix-4671, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u10801)))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10801))) )).
% 39.91/40.14 cnf(matrix-4672, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10802))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u10802)))) )).
% 39.91/40.14 cnf(matrix-4673, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, _u10803)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u10803)) = _u10803) )).
% 39.91/40.14 cnf(matrix-4674, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10804))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10804) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.14 cnf(matrix-4675, 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, _u10805))))) )).
% 39.91/40.14 cnf(matrix-4676, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10808) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10810)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10808))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10810)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.91/40.14 cnf(matrix-4677, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10808) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10810)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10808))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10810))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10808) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 39.91/40.14 cnf(matrix-4678, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10808) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10810)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10808))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10810))) | ( _u10808 = _u10810) )).
% 39.91/40.14 cnf(matrix-4679, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10809) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10811)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10809))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10811))) | ( _u10809 != _u10811) )).
% 39.91/40.14 cnf(matrix-4680, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10809) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10811)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10809))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10809) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10811))) )).
% 39.91/40.14 cnf(matrix-4681, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10809) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10811)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10809))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10809) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u10809 != _u10811) )).
% 39.91/40.14 cnf(matrix-4682, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10809) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10811)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10811)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10809))) )).
% 39.91/40.14 cnf(matrix-4683, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10809) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10811)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10811)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10811))) | ( _u10809 != _u10811) )).
% 39.91/40.14 cnf(matrix-4684, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10809) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10811)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10811)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10809) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10811))) )).
% 39.91/40.14 cnf(matrix-4685, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10809) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10811)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10811)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10809) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u10809 != _u10811) )).
% 39.91/40.14 cnf(matrix-4686, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10815))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10815)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10817)), _u10819)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10817)), _u10819)) )).
% 39.91/40.14 cnf(matrix-4687, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10816))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10818))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10816)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10818)), _u10820)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10816)), _u10820)) )).
% 39.91/40.14 cnf(matrix-4688, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10816))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10818))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10816)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10818)), _u10820)) = 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), _u10816), _u10818))), _u10820)) )).
% 39.91/40.14 cnf(matrix-4689, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10822))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10822)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 39.91/40.14 cnf(matrix-4690, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10823))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10823)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10823)) )).
% 39.91/40.14 cnf(matrix-4691, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u10826)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u10828)), hAPP(c_Int_Onat, _u10826)) = hAPP(c_Int_Onat, _u10828)) )).
% 39.91/40.14 cnf(matrix-4692, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, _u10827)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u10829)), hAPP(c_Int_Onat, _u10827)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10829), _u10827)), 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))) )).
% 39.91/40.14 cnf(matrix-4693, plain, ( ~class_Int_Onumber__ring(_u10830) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10831))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10830), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10831)) = c_Groups_Ozero__class_Ozero(_u10830)) )).
% 39.91/40.14 cnf(matrix-4694, plain, ( ~class_Int_Onumber__ring(_u10830) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10831))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10830), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10831)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10830), _u10831)) )).
% 39.91/40.14 cnf(matrix-4695, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10834))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10834), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10836)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.14 cnf(matrix-4696, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10835))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10837))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10835), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10837)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10835)) )).
% 39.91/40.14 cnf(matrix-4697, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10835))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10837))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10835), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10837)) = hAPP(c_Int_Onat, c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10835), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10837)))) )).
% 39.91/40.14 cnf(matrix-4698, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10840))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10840)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10842)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.14 cnf(matrix-4699, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10841))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10841)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10843)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10841)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10843)))) )).
% 39.91/40.14 cnf(matrix-4700, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10845))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u10845)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.14 cnf(matrix-4701, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10846))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u10846)) = hAPP(hAPP(c_HOL_OLet(tc_Nat_Onat, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10846)), 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))))) )).
% 39.91/40.14 cnf(matrix-4702, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10849))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10849)), _u10851) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10851)) )).
% 39.91/40.14 cnf(matrix-4703, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10850))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10850)), _u10852) = hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10850)), _u10852))) )).
% 39.91/40.14 cnf(matrix-4704, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10855))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10855)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10857)) = 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), _u10857))) )).
% 39.91/40.14 cnf(matrix-4705, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10856))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10856)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10858)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10856)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10858)))) )).
% 39.91/40.14 cnf(matrix-4706, plain, ( ~c_Nat__Transfer_Onat__set(_u10859) | ~c_Nat__Transfer_Onat__set(_u10860) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u10859), _u10860) = 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), _u10859)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10860)))) )).
% 39.91/40.14 cnf(matrix-4707, plain, ( ~c_Nat__Transfer_Onat__set(_u10861) | ~c_Nat__Transfer_Onat__set(_u10862) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u10861), _u10862) = 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), _u10861)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10862)))) )).
% 39.91/40.14 cnf(matrix-4708, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10865))) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10865)), _u10867)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u10867)) )).
% 39.91/40.14 cnf(matrix-4709, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10866))) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10866)), _u10868)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u10866))), _u10868)) )).
% 39.91/40.14 cnf(matrix-4710, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10871), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10873)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10871)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10873)) )).
% 39.91/40.14 cnf(matrix-4711, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10872), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10874)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10872)) = 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), _u10874), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10872)))), 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))) )).
% 39.91/40.14 cnf(matrix-4712, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OPls), _u10875) = c_Int_OPls) )).
% 39.91/40.14 cnf(matrix-4713, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10876), c_Int_OPls) = _u10876) )).
% 39.91/40.14 cnf(matrix-4714, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OPls) = c_Int_OPls) )).
% 39.91/40.14 cnf(matrix-4715, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OPls)) )).
% 39.91/40.14 cnf(matrix-4716, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OPls)) )).
% 39.91/40.14 cnf(matrix-4717, plain, ( ( c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 39.91/40.14 cnf(matrix-4718, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OPls), _u10877) = _u10877) )).
% 39.91/40.14 cnf(matrix-4719, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10878), c_Int_OPls) = _u10878) )).
% 39.91/40.14 cnf(matrix-4720, plain, ( ( c_Int_Osucc(c_Int_OPls) = c_Int_OBit1(c_Int_OPls)) )).
% 39.91/40.14 cnf(matrix-4721, plain, ( ( c_Int_OPls != c_Int_OBit1(_u10879)) )).
% 39.91/40.14 cnf(matrix-4722, plain, ( ( c_Int_OBit1(_u10880) != c_Int_OPls) )).
% 39.91/40.14 cnf(matrix-4723, plain, ( ~class_Int_Onumber__ring(_u10881) | ( c_Groups_Ozero__class_Ozero(_u10881) = hAPP(c_Int_Onumber__class_Onumber__of(_u10881), c_Int_OPls)) )).
% 39.91/40.14 cnf(matrix-4724, plain, ( ~class_Int_Onumber__ring(_u10882) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10882), c_Int_OPls) = c_Groups_Ozero__class_Ozero(_u10882)) )).
% 39.91/40.14 cnf(matrix-4725, plain, ( ~class_Int_Onumber__ring(_u10883) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10883), _u10884), hAPP(c_Int_Onumber__class_Onumber__of(_u10883), c_Int_OPls)) = _u10884) )).
% 39.91/40.14 cnf(matrix-4726, plain, ( ~class_Int_Onumber__ring(_u10885) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10885), hAPP(c_Int_Onumber__class_Onumber__of(_u10885), c_Int_OPls)), _u10886) = _u10886) )).
% 39.91/40.14 cnf(matrix-4727, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.91/40.14 cnf(matrix-4728, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OPls) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.14 cnf(matrix-4729, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OPls)) )).
% 39.91/40.14 cnf(matrix-4730, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OPls)) )).
% 39.91/40.14 cnf(matrix-4731, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u10888))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u10888)) )).
% 39.91/40.14 cnf(matrix-4732, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u10889)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u10889))) )).
% 39.91/40.14 cnf(matrix-4733, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u10891)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10891), c_Int_OPls)) )).
% 39.91/40.14 cnf(matrix-4734, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10892), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u10892)), c_Int_OPls)) )).
% 39.91/40.14 cnf(matrix-4735, plain, ( c_Nat__Transfer_Onat__set(c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint, tc_HOL_Obool))) )).
% 39.91/40.14 cnf(matrix-4736, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OPls))) )).
% 39.91/40.14 cnf(matrix-4737, plain, ( ~c_Nat__Transfer_Onat__set(_u10893) | ~c_Nat__Transfer_Onat__set(_u10894) | c_Nat__Transfer_Onat__set(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u10893), _u10894)) )).
% 39.91/40.14 cnf(matrix-4738, plain, ( ~c_Nat__Transfer_Onat__set(_u10895) | ~c_Nat__Transfer_Onat__set(_u10896) | c_Nat__Transfer_Onat__set(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u10895), _u10896)) )).
% 39.91/40.14 cnf(matrix-4739, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10898), 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), _u10898)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 39.91/40.14 cnf(matrix-4740, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10899), 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), _u10899)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u10899))) )).
% 39.91/40.14 cnf(matrix-4741, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10901), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10901)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 39.91/40.14 cnf(matrix-4742, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10902), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10902)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u10902))) )).
% 39.91/40.14 cnf(matrix-4743, plain, ( ~c_Nat__Transfer_Onat__set(_u10906) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10903), _u10906)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10903)) )).
% 39.91/40.14 cnf(matrix-4744, plain, ( c_Nat__Transfer_Onat__set(_u10907) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem211(_u10907)), _u10907)) )).
% 39.91/40.14 cnf(matrix-4745, plain, ( c_Nat__Transfer_Onat__set(_u10907) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem211(_u10907))) )).
% 39.91/40.14 cnf(matrix-4746, 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)), _u10908)) )).
% 39.91/40.14 cnf(matrix-4747, plain, ( ~c_Nat__Transfer_Onat__set(_u10909) | ~c_Nat__Transfer_Onat__set(_u10910) | ( _u10909 != _u10910) | ( hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10909) = hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10910)) )).
% 39.91/40.14 cnf(matrix-4748, plain, ( ~c_Nat__Transfer_Onat__set(_u10909) | ~c_Nat__Transfer_Onat__set(_u10910) | ( hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10909) != hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10910)) | ( _u10909 = _u10910) )).
% 39.91/40.14 cnf(matrix-4749, plain, ( ~class_Int_Onumber__ring(_u10911) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10911), hAPP(c_Int_Onumber__class_Onumber__of(_u10911), c_Int_OBit1(c_Int_OPls))), _u10912) = _u10912) )).
% 39.91/40.14 cnf(matrix-4750, plain, ( ~class_Int_Onumber__ring(_u10913) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10913), _u10914), hAPP(c_Int_Onumber__class_Onumber__of(_u10913), c_Int_OBit1(c_Int_OPls))) = _u10914) )).
% 39.91/40.14 cnf(matrix-4751, plain, ( ~class_Int_Onumber__ring(_u10915) | ( c_Groups_Oone__class_Oone(_u10915) = hAPP(c_Int_Onumber__class_Onumber__of(_u10915), c_Int_OBit1(c_Int_OPls))) )).
% 39.91/40.14 cnf(matrix-4752, plain, ( ~class_Int_Onumber__ring(_u10916) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10916), c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(_u10916)) )).
% 39.91/40.14 cnf(matrix-4753, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10918)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10918), c_Int_OPls)) )).
% 39.91/40.14 cnf(matrix-4754, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10919), c_Int_OPls)) | ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10919)) )).
% 39.91/40.14 cnf(matrix-4755, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10921) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10921), c_Int_OPls)) )).
% 39.91/40.14 cnf(matrix-4756, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10922), c_Int_OPls)) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10922) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.14 cnf(matrix-4757, 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))) )).
% 39.91/40.14 cnf(matrix-4758, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u10924))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u10924)) )).
% 39.91/40.14 cnf(matrix-4759, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u10925)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u10925))) )).
% 39.91/40.14 cnf(matrix-4760, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u10927)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10927), c_Int_OPls)) )).
% 39.91/40.14 cnf(matrix-4761, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10928), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u10928)), c_Int_OPls)) )).
% 39.91/40.14 cnf(matrix-4762, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10931)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10933))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10931), _u10933)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u10933)) )).
% 39.91/40.14 cnf(matrix-4763, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10931)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10933))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10931), _u10933)) )).
% 39.91/40.14 cnf(matrix-4764, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10932)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10934))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10932), _u10934)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u10934)) )).
% 39.91/40.14 cnf(matrix-4765, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10937)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10939))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10937), _u10939)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10937), c_Int_OPls)) )).
% 39.91/40.14 cnf(matrix-4766, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10938)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10940))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10938), _u10940)) )).
% 39.91/40.14 cnf(matrix-4767, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10938)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10940))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10938), c_Int_OPls)) )).
% 39.91/40.14 cnf(matrix-4768, 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))) )).
% 39.91/40.14 cnf(matrix-4769, 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)) )).
% 39.91/40.14 cnf(matrix-4770, 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))) )).
% 39.91/40.14 cnf(matrix-4771, plain, ( ( c_Int_Osucc(_u10941) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10941), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 39.91/40.14 cnf(matrix-4772, plain, ( ~class_Int_Onumber__ring(_u10942) | ~class_Rings_Olinordered__idom(_u10942) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10942), c_Groups_Ozero__class_Ozero(_u10942)), hAPP(c_Int_Onumber__class_Onumber__of(_u10942), _u10943))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u10943)) )).
% 39.91/40.14 cnf(matrix-4773, plain, ( ~class_Int_Onumber__ring(_u10942) | ~class_Rings_Olinordered__idom(_u10942) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u10943)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10942), c_Groups_Ozero__class_Ozero(_u10942)), hAPP(c_Int_Onumber__class_Onumber__of(_u10942), _u10943))) )).
% 39.91/40.14 cnf(matrix-4774, plain, ( ~class_Int_Onumber__ring(_u10944) | ~class_Rings_Olinordered__idom(_u10944) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10944), hAPP(c_Int_Onumber__class_Onumber__of(_u10944), _u10945)), c_Groups_Ozero__class_Ozero(_u10944))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10945), c_Int_OPls)) )).
% 39.91/40.14 cnf(matrix-4775, plain, ( ~class_Int_Onumber__ring(_u10944) | ~class_Rings_Olinordered__idom(_u10944) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10945), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10944), hAPP(c_Int_Onumber__class_Onumber__of(_u10944), _u10945)), c_Groups_Ozero__class_Ozero(_u10944))) )).
% 39.91/40.14 cnf(matrix-4776, plain, ( ~class_Int_Onumber__ring(_u10946) | ~class_Rings_Olinordered__idom(_u10946) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10946), hAPP(c_Int_Onumber__class_Onumber__of(_u10946), _u10947)), c_Groups_Ozero__class_Ozero(_u10946))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10947), c_Int_OPls)) )).
% 39.91/40.14 cnf(matrix-4777, plain, ( ~class_Int_Onumber__ring(_u10946) | ~class_Rings_Olinordered__idom(_u10946) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10947), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10946), hAPP(c_Int_Onumber__class_Onumber__of(_u10946), _u10947)), c_Groups_Ozero__class_Ozero(_u10946))) )).
% 39.91/40.14 cnf(matrix-4778, plain, ( ~class_Int_Onumber__ring(_u10948) | ~class_Rings_Olinordered__idom(_u10948) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10948), c_Groups_Ozero__class_Ozero(_u10948)), hAPP(c_Int_Onumber__class_Onumber__of(_u10948), _u10949))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u10949)) )).
% 39.91/40.14 cnf(matrix-4779, plain, ( ~class_Int_Onumber__ring(_u10948) | ~class_Rings_Olinordered__idom(_u10948) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u10949)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10948), c_Groups_Ozero__class_Ozero(_u10948)), hAPP(c_Int_Onumber__class_Onumber__of(_u10948), _u10949))) )).
% 39.91/40.14 cnf(matrix-4780, 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), _u10951))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u10951)) )).
% 39.91/40.14 cnf(matrix-4781, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u10952)) | 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), _u10952))) )).
% 39.91/40.14 cnf(matrix-4782, 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))) )).
% 39.91/40.14 cnf(matrix-4783, 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))))) )).
% 39.91/40.14 cnf(matrix-4784, plain, ( ~class_Groups_Omonoid__mult(_u10953) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10953), _u10954), 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(_u10953), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10953), _u10954), _u10954)), _u10954)) )).
% 39.91/40.14 cnf(matrix-4785, 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))))) )).
% 39.91/40.14 cnf(matrix-4786, plain, ( ( hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u10955))) = 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)))), _u10955)) )).
% 39.91/40.14 cnf(matrix-4787, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10958), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10958)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10960)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10960)) )).
% 39.91/40.14 cnf(matrix-4788, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10959), c_Int_OPls)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10961), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10959)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10961)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10959)) )).
% 39.91/40.14 cnf(matrix-4789, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10959), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10961), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10959)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10961)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10959), _u10961))) )).
% 39.91/40.14 cnf(matrix-4790, 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))))) )).
% 39.91/40.14 cnf(matrix-4791, 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))))) )).
% 39.91/40.14 cnf(matrix-4792, plain, ( ~c_Nat__Transfer_Onat__set(_u10962) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10963), _u10962)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10963)) )).
% 39.91/40.14 cnf(matrix-4793, plain, ( ~class_Int_Onumber__ring(_u10964) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10964), c_Int_Osucc(_u10965)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10964), c_Groups_Oone__class_Oone(_u10964)), hAPP(c_Int_Onumber__class_Onumber__of(_u10964), _u10965))) )).
% 39.91/40.14 cnf(matrix-4794, 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)))), _u10966))) )).
% 39.91/40.14 cnf(matrix-4795, plain, ( ~class_Int_Onumber__ring(_u10967) | ~class_Rings_Olinordered__idom(_u10967) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10967), hAPP(c_Int_Onumber__class_Onumber__of(_u10967), _u10968)), c_Groups_Oone__class_Oone(_u10967))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10968), c_Int_OBit1(c_Int_OPls))) )).
% 39.91/40.14 cnf(matrix-4796, plain, ( ~class_Int_Onumber__ring(_u10967) | ~class_Rings_Olinordered__idom(_u10967) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10968), c_Int_OBit1(c_Int_OPls))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10967), hAPP(c_Int_Onumber__class_Onumber__of(_u10967), _u10968)), c_Groups_Oone__class_Oone(_u10967))) )).
% 39.91/40.14 cnf(matrix-4797, plain, ( ~class_Int_Onumber__ring(_u10969) | ~class_Rings_Olinordered__idom(_u10969) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10969), c_Groups_Oone__class_Oone(_u10969)), hAPP(c_Int_Onumber__class_Onumber__of(_u10969), _u10970))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u10970)) )).
% 39.91/40.14 cnf(matrix-4798, plain, ( ~class_Int_Onumber__ring(_u10969) | ~class_Rings_Olinordered__idom(_u10969) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u10970)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10969), c_Groups_Oone__class_Oone(_u10969)), hAPP(c_Int_Onumber__class_Onumber__of(_u10969), _u10970))) )).
% 39.91/40.14 cnf(matrix-4799, plain, ( ~class_Int_Onumber__ring(_u10971) | ~class_Rings_Olinordered__idom(_u10971) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10971), c_Groups_Oone__class_Oone(_u10971)), hAPP(c_Int_Onumber__class_Onumber__of(_u10971), _u10972))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u10972)) )).
% 39.91/40.14 cnf(matrix-4800, plain, ( ~class_Int_Onumber__ring(_u10971) | ~class_Rings_Olinordered__idom(_u10971) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u10972)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10971), c_Groups_Oone__class_Oone(_u10971)), hAPP(c_Int_Onumber__class_Onumber__of(_u10971), _u10972))) )).
% 39.91/40.14 cnf(matrix-4801, plain, ( ~class_Int_Onumber__ring(_u10973) | ~class_Rings_Olinordered__idom(_u10973) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10973), hAPP(c_Int_Onumber__class_Onumber__of(_u10973), _u10974)), c_Groups_Oone__class_Oone(_u10973))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10974), c_Int_OBit1(c_Int_OPls))) )).
% 39.91/40.14 cnf(matrix-4802, plain, ( ~class_Int_Onumber__ring(_u10973) | ~class_Rings_Olinordered__idom(_u10973) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10974), c_Int_OBit1(c_Int_OPls))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10973), hAPP(c_Int_Onumber__class_Onumber__of(_u10973), _u10974)), c_Groups_Oone__class_Oone(_u10973))) )).
% 39.91/40.14 cnf(matrix-4803, plain, ( ~class_Int_Onumber__ring(_u10975) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10975), hAPP(c_Int_Onumber__class_Onumber__of(_u10975), _u10976)), c_Groups_Oone__class_Oone(_u10975)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10975), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10976), c_Int_OBit1(c_Int_OPls)))) )).
% 39.91/40.14 cnf(matrix-4804, plain, ( ~class_Int_Onumber__ring(_u10977) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10977), c_Groups_Oone__class_Oone(_u10977)), hAPP(c_Int_Onumber__class_Onumber__of(_u10977), _u10978)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10977), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u10978))) )).
% 39.91/40.14 cnf(matrix-4805, 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)), _u10979)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10980)), _u10979) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10980), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10979), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OPls))))) )).
% 39.91/40.14 cnf(matrix-4806, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10983), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10983)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10985)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.14 cnf(matrix-4807, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10984), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10984)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10986)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10984), _u10986))) )).
% 39.91/40.14 cnf(matrix-4808, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10990), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10990)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10992)), _u10994)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.14 cnf(matrix-4809, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10991), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10991)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10993)), _u10995)) = 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), _u10991), _u10993))), _u10995)) )).
% 39.91/40.14 cnf(matrix-4810, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u10996))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10997)) = 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)))), _u10996), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10997))) )).
% 39.91/40.14 cnf(matrix-4811, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u10998))), _u10999) = 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)))), _u10998), _u10999)) )).
% 39.91/40.14 cnf(matrix-4812, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u11000, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u11001)))) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u11000, 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)))), _u11001))) )).
% 39.91/40.14 cnf(matrix-4813, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u11002)))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11003)) = 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)))), _u11002)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11003))) )).
% 39.91/40.14 cnf(matrix-4814, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u11004)))), _u11005) = 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)))), _u11004)), _u11005)) )).
% 39.91/40.14 cnf(matrix-4815, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u11006), hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u11007)))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u11006), 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)))), _u11007))) )).
% 39.91/40.14 cnf(matrix-4816, plain, ( ~c_Nat__Transfer_Onat__set(_u11008) | ( 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), _u11008)) = _u11008) )).
% 39.91/40.14 cnf(matrix-4817, plain, ( ~class_Int_Onumber__ring(_u11009) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11009), hAPP(c_Int_Onumber__class_Onumber__of(_u11009), _u11010)), c_Groups_Oone__class_Oone(_u11009)) = hAPP(c_Int_Onumber__class_Onumber__of(_u11009), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11010), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls))))) )).
% 39.91/40.14 cnf(matrix-4818, plain, ( ~class_Int_Onumber__ring(_u11011) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11011), c_Groups_Oone__class_Oone(_u11011)), hAPP(c_Int_Onumber__class_Onumber__of(_u11011), _u11012)) = hAPP(c_Int_Onumber__class_Onumber__of(_u11011), 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), _u11012)))) )).
% 39.91/40.14 cnf(matrix-4819, plain, ( ~c_Nat__Transfer_Onat__set(_u11013) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), _u11013)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u11013))) )).
% 39.91/40.14 cnf(matrix-4820, plain, ( ~c_Nat__Transfer_Onat__set(_u11013) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u11013))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), _u11013)) )).
% 39.91/40.14 cnf(matrix-4821, plain, ( ~c_Nat__Transfer_Onat__set(_u11014) | ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), _u11014) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u11014))) )).
% 39.91/40.14 cnf(matrix-4822, plain, ( ~c_Nat__Transfer_Onat__set(_u11015) | ~c_Nat__Transfer_Onat__set(_u11016) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u11015), _u11016)) | 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), _u11015)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u11016))) )).
% 39.91/40.14 cnf(matrix-4823, plain, ( ~c_Nat__Transfer_Onat__set(_u11015) | ~c_Nat__Transfer_Onat__set(_u11016) | ~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), _u11015)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u11016))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u11015), _u11016)) )).
% 39.91/40.14 cnf(matrix-4824, plain, ( ~c_Nat__Transfer_Onat__set(_u11017) | ~c_Nat__Transfer_Onat__set(_u11018) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u11017), _u11018)) | 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), _u11017)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u11018))) )).
% 39.91/40.14 cnf(matrix-4825, plain, ( ~c_Nat__Transfer_Onat__set(_u11017) | ~c_Nat__Transfer_Onat__set(_u11018) | ~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), _u11017)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u11018))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u11017), _u11018)) )).
% 39.91/40.14 cnf(matrix-4826, plain, ( ~class_Groups_Ocomm__monoid__add(_u11019) | ~class_Groups_Ocomm__monoid__mult(_u11019) | ~c_Nat__Transfer_Onat__set(_u11020) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u11019), _u11021), _u11020) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11019), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u11019, tc_Nat_Onat), _u11021), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u11020))) )).
% 39.91/40.14 cnf(matrix-4827, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11023))) | ( hAPP(c_Nat_OSuc, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11023)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 39.91/40.14 cnf(matrix-4828, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11024))) | ( hAPP(c_Nat_OSuc, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11024)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u11024))) )).
% 39.91/40.14 cnf(matrix-4829, plain, ( ~class_Groups_Ocomm__monoid__add(_u11025) | ~class_Groups_Ocomm__monoid__mult(_u11025) | ~c_Nat__Transfer_Onat__set(_u11026) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u11025), _u11027), _u11026) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat, _u11025), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u11025, tc_Nat_Onat), _u11027), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u11026))) )).
% 39.91/40.14 cnf(matrix-4830, plain, ( ~class_Int_Onumber__ring(_u11028) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u11028), _u11029) != c_Groups_Oone__class_Oone(_u11028)) | c_Int_Oiszero(_u11028, hAPP(c_Int_Onumber__class_Onumber__of(_u11028), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11029), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls))))) )).
% 39.91/40.14 cnf(matrix-4831, plain, ( ~class_Int_Onumber__ring(_u11028) | ~c_Int_Oiszero(_u11028, hAPP(c_Int_Onumber__class_Onumber__of(_u11028), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11029), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls))))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u11028), _u11029) = c_Groups_Oone__class_Oone(_u11028)) )).
% 39.91/40.14 cnf(matrix-4832, plain, ( ~class_Int_Onumber__ring(_u11030) | ( c_Groups_Oone__class_Oone(_u11030) != hAPP(c_Int_Onumber__class_Onumber__of(_u11030), _u11031)) | c_Int_Oiszero(_u11030, hAPP(c_Int_Onumber__class_Onumber__of(_u11030), 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), _u11031)))) )).
% 39.91/40.14 cnf(matrix-4833, plain, ( ~class_Int_Onumber__ring(_u11030) | ~c_Int_Oiszero(_u11030, hAPP(c_Int_Onumber__class_Onumber__of(_u11030), 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), _u11031)))) | ( c_Groups_Oone__class_Oone(_u11030) = hAPP(c_Int_Onumber__class_Onumber__of(_u11030), _u11031)) )).
% 39.91/40.14 cnf(matrix-4834, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11032), 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)))), _u11033)), 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)))), _u11032)) = 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), _u11033), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u11032))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 39.91/40.14 cnf(matrix-4835, 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), _u11036))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u11038)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u11036))) = 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), _u11038), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11036)))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 39.91/40.14 cnf(matrix-4836, 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), _u11037))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u11039)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u11037))) = 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), _u11039)), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11037)))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 39.91/40.14 cnf(matrix-4837, plain, ( ( c_Int_OBit0(_u11041) != c_Int_OPls) | ( _u11041 = c_Int_OPls) )).
% 39.91/40.14 cnf(matrix-4838, plain, ( ( _u11042 != c_Int_OPls) | ( c_Int_OBit0(_u11042) = c_Int_OPls) )).
% 39.91/40.14 cnf(matrix-4839, plain, ( ( c_Int_OPls != c_Int_OBit0(_u11044)) | ( c_Int_OPls = _u11044) )).
% 39.91/40.14 cnf(matrix-4840, plain, ( ( c_Int_OPls != _u11045) | ( c_Int_OPls = c_Int_OBit0(_u11045)) )).
% 39.91/40.14 cnf(matrix-4841, plain, ( ( c_Int_OBit0(c_Int_OPls) = c_Int_OPls) )).
% 39.91/40.14 cnf(matrix-4842, plain, ( ~class_Int_Onumber__ring(_u11046) | ~class_Int_Oring__char__0(_u11046) | ~c_Int_Oiszero(_u11046, hAPP(c_Int_Onumber__class_Onumber__of(_u11046), c_Int_OBit0(_u11047))) | c_Int_Oiszero(_u11046, hAPP(c_Int_Onumber__class_Onumber__of(_u11046), _u11047)) )).
% 39.91/40.14 cnf(matrix-4843, plain, ( ~class_Int_Onumber__ring(_u11046) | ~class_Int_Oring__char__0(_u11046) | ~c_Int_Oiszero(_u11046, hAPP(c_Int_Onumber__class_Onumber__of(_u11046), _u11047)) | c_Int_Oiszero(_u11046, hAPP(c_Int_Onumber__class_Onumber__of(_u11046), c_Int_OBit0(_u11047))) )).
% 39.91/40.14 cnf(matrix-4844, plain, ( ( c_Int_OBit1(_u11048) != c_Int_OBit0(_u11049)) )).
% 39.91/40.14 cnf(matrix-4845, plain, ( ( c_Int_OBit0(_u11050) != c_Int_OBit1(_u11051)) )).
% 39.91/40.14 cnf(matrix-4846, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OBit0(_u11052)), _u11053) = c_Int_OBit0(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u11052), _u11053))) )).
% 39.91/40.14 cnf(matrix-4847, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit0(_u11054)), c_Int_OBit0(_u11055)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11054), _u11055))) )).
% 39.91/40.14 cnf(matrix-4848, plain, ( ( c_Int_OBit0(_u11056) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11056), _u11056)) )).
% 39.91/40.14 cnf(matrix-4849, plain, ( ( c_Int_OBit0(_u11059) != c_Int_OBit0(_u11061)) | ( _u11059 = _u11061) )).
% 39.91/40.14 cnf(matrix-4850, plain, ( ( _u11060 != _u11062) | ( c_Int_OBit0(_u11060) = c_Int_OBit0(_u11062)) )).
% 39.91/40.14 cnf(matrix-4851, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u11065)), c_Int_OBit0(_u11067))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11065), _u11067)) )).
% 39.91/40.14 cnf(matrix-4852, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11066), _u11068)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u11066)), c_Int_OBit0(_u11068))) )).
% 39.91/40.14 cnf(matrix-4853, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u11071)), c_Int_OBit0(_u11073))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11071), _u11073)) )).
% 39.91/40.14 cnf(matrix-4854, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11072), _u11074)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u11072)), c_Int_OBit0(_u11074))) )).
% 39.91/40.14 cnf(matrix-4855, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u11077)), c_Int_OBit0(_u11079))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11077), _u11079)) )).
% 39.91/40.14 cnf(matrix-4856, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11078), _u11080)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u11078)), c_Int_OBit0(_u11080))) )).
% 39.91/40.14 cnf(matrix-4857, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u11083)), c_Int_OBit0(_u11085))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11083), _u11085)) )).
% 39.91/40.14 cnf(matrix-4858, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11084), _u11086)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u11084)), c_Int_OBit0(_u11086))) )).
% 39.91/40.14 cnf(matrix-4859, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit0(_u11087)) = c_Int_OBit0(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11087))) )).
% 39.91/40.14 cnf(matrix-4860, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit0(_u11088)), c_Int_OBit0(_u11089)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11088), _u11089))) )).
% 39.91/40.14 cnf(matrix-4861, plain, ( ~class_Rings_Osemiring__1(_u11090) | c_Int_Oiszero(_u11090, c_Groups_Ozero__class_Ozero(_u11090)) )).
% 39.91/40.14 cnf(matrix-4862, plain, ( ~class_Rings_Osemiring__1(_u11091) | ~c_Int_Oiszero(_u11091, _u11092) | ( _u11092 = c_Groups_Ozero__class_Ozero(_u11091)) )).
% 39.91/40.14 cnf(matrix-4863, plain, ( ~class_Rings_Osemiring__1(_u11091) | ( _u11092 != c_Groups_Ozero__class_Ozero(_u11091)) | c_Int_Oiszero(_u11091, _u11092) )).
% 39.91/40.14 cnf(matrix-4864, plain, ( ~class_Rings_Osemiring__1(_u11093) | ~c_Int_Oiszero(_u11093, c_Groups_Oone__class_Oone(_u11093)) )).
% 39.91/40.14 cnf(matrix-4865, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u11095)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11095), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.91/40.14 cnf(matrix-4866, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11096), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u11096)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.91/40.14 cnf(matrix-4867, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u11098))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u11098)) )).
% 39.91/40.14 cnf(matrix-4868, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u11099)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u11099))) )).
% 39.91/40.14 cnf(matrix-4869, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u11101)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11101), c_Int_OPls)) )).
% 39.91/40.14 cnf(matrix-4870, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11102), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u11102)), c_Int_OPls)) )).
% 39.91/40.14 cnf(matrix-4871, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u11105)), c_Int_OBit1(_u11107))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11105), _u11107)) )).
% 39.91/40.14 cnf(matrix-4872, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11106), _u11108)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u11106)), c_Int_OBit1(_u11108))) )).
% 39.91/40.14 cnf(matrix-4873, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u11111)), c_Int_OBit1(_u11113))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11111), _u11113)) )).
% 39.91/40.14 cnf(matrix-4874, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11112), _u11114)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u11112)), c_Int_OBit1(_u11114))) )).
% 39.91/40.14 cnf(matrix-4875, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u11116)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11116), c_Int_OPls)) )).
% 39.91/40.14 cnf(matrix-4876, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11117), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u11117)), c_Int_OPls)) )).
% 39.91/40.14 cnf(matrix-4877, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u11119))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u11119)) )).
% 39.91/40.14 cnf(matrix-4878, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u11120)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u11120))) )).
% 39.91/40.14 cnf(matrix-4879, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u11123)), c_Int_OBit0(_u11125))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11123), _u11125)) )).
% 39.91/40.14 cnf(matrix-4880, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11124), _u11126)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u11124)), c_Int_OBit0(_u11126))) )).
% 39.91/40.14 cnf(matrix-4881, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u11129)), c_Int_OBit0(_u11131))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11129), _u11131)) )).
% 39.91/40.14 cnf(matrix-4882, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11130), _u11132)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u11130)), c_Int_OBit0(_u11132))) )).
% 39.91/40.14 cnf(matrix-4883, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit1(_u11133)), c_Int_OBit0(_u11134)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11133), _u11134))) )).
% 39.91/40.14 cnf(matrix-4884, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit0(_u11135)), c_Int_OBit1(_u11136)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11135), _u11136))) )).
% 39.91/40.14 cnf(matrix-4885, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u11137)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OPls), _u11137))) )).
% 39.91/40.14 cnf(matrix-4886, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit1(_u11138)), c_Int_OBit1(_u11139)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11138), _u11139))) )).
% 39.91/40.14 cnf(matrix-4887, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit1(_u11140)), c_Int_OBit0(_u11141)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11140), _u11141))) )).
% 39.91/40.14 cnf(matrix-4888, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u11142))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u11143))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11142)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11143))) )).
% 39.91/40.14 cnf(matrix-4889, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u11145)))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11145))) )).
% 39.91/40.14 cnf(matrix-4890, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11146))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u11146)))) )).
% 39.91/40.14 cnf(matrix-4891, plain, ( ( c_Int_Osucc(c_Int_OBit1(_u11147)) = c_Int_OBit0(c_Int_Osucc(_u11147))) )).
% 39.91/40.14 cnf(matrix-4892, plain, ( ( c_Int_Osucc(c_Int_OBit0(_u11148)) = c_Int_OBit1(_u11148)) )).
% 39.91/40.14 cnf(matrix-4893, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u11149)) = hAPP(hAPP(c_HOL_OLet(tc_Nat_Onat, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11149)), 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)))) )).
% 39.91/40.14 cnf(matrix-4894, plain, ( ~class_Int_Onumber__ring(_u11150) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u11150), c_Int_OBit0(_u11151)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11150), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11150), c_Groups_Ozero__class_Ozero(_u11150)), hAPP(c_Int_Onumber__class_Onumber__of(_u11150), _u11151))), hAPP(c_Int_Onumber__class_Onumber__of(_u11150), _u11151))) )).
% 39.91/40.14 cnf(matrix-4895, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u11154)), c_Int_OBit0(_u11156))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11154), _u11156)) )).
% 39.91/40.14 cnf(matrix-4896, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11155), _u11157)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u11155)), c_Int_OBit0(_u11157))) )).
% 39.91/40.14 cnf(matrix-4897, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u11160)), c_Int_OBit0(_u11162))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11160), _u11162)) )).
% 39.91/40.14 cnf(matrix-4898, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11161), _u11163)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u11161)), c_Int_OBit0(_u11163))) )).
% 39.91/40.14 cnf(matrix-4899, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u11166)), c_Int_OBit1(_u11168))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11166), _u11168)) )).
% 39.91/40.14 cnf(matrix-4900, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11167), _u11169)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u11167)), c_Int_OBit1(_u11169))) )).
% 39.91/40.14 cnf(matrix-4901, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u11172)), c_Int_OBit1(_u11174))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11172), _u11174)) )).
% 39.91/40.14 cnf(matrix-4902, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11173), _u11175)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u11173)), c_Int_OBit1(_u11175))) )).
% 39.91/40.14 cnf(matrix-4903, 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)))) )).
% 39.91/40.14 cnf(matrix-4904, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OBit1(_u11176)), _u11177) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit0(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u11176), _u11177))), _u11177)) )).
% 39.91/40.14 cnf(matrix-4905, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit1(_u11178)), c_Int_OBit1(_u11179)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11178), c_Int_Osucc(_u11179)))) )).
% 39.91/40.14 cnf(matrix-4906, plain, ( ~class_Int_Onumber__ring(_u11180) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11180), _u11181), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u11182))) = hAPP(hAPP(c_HOL_OLet(_u11180, _u11180), hAPP(hAPP(c_Power_Opower__class_Opower(_u11180), _u11181), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11182))), hAPP(hAPP(c_COMBS(_u11180, _u11180, _u11180), c_Groups_Otimes__class_Otimes(_u11180)), c_COMBI(_u11180)))) )).
% 39.91/40.14 cnf(matrix-4907, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u11183), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u11184))) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u11183), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11184))), 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)))) )).
% 39.91/40.14 cnf(matrix-4908, plain, ( ~class_Int_Onumber__ring(_u11185) | c_Int_Oiszero(_u11185, hAPP(c_Int_Onumber__class_Onumber__of(_u11185), c_Int_OPls)) )).
% 39.91/40.14 cnf(matrix-4909, plain, ( ~class_Int_Onumber__ring(_u11186) | ~class_Int_Oring__char__0(_u11186) | ~c_Int_Oiszero(_u11186, hAPP(c_Int_Onumber__class_Onumber__of(_u11186), c_Int_OBit1(_u11187))) )).
% 39.91/40.14 cnf(matrix-4910, plain, ( ~class_Int_Onumber__ring(_u11188) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11188), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11188), c_Groups_Oone__class_Oone(_u11188)), c_Groups_Oone__class_Oone(_u11188))), hAPP(c_Int_Onumber__class_Onumber__of(_u11188), _u11189)) = hAPP(c_Int_Onumber__class_Onumber__of(_u11188), c_Int_OBit0(_u11189))) )).
% 39.91/40.14 cnf(matrix-4911, 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), _u11190))) | 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(_u11190)))) )).
% 39.91/40.14 cnf(matrix-4912, 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), _u11190))) | 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(_u11190)))) )).
% 39.91/40.14 cnf(matrix-4913, plain, ( ~class_Int_Onumber__ring(_u11191) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11191), hAPP(c_Int_Onumber__class_Onumber__of(_u11191), _u11192)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u11193))) = hAPP(hAPP(c_HOL_OLet(_u11191, _u11191), hAPP(hAPP(c_Power_Opower__class_Opower(_u11191), hAPP(c_Int_Onumber__class_Onumber__of(_u11191), _u11192)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11193))), hAPP(hAPP(c_COMBS(_u11191, _u11191, _u11191), c_Groups_Otimes__class_Otimes(_u11191)), c_COMBI(_u11191)))) )).
% 39.91/40.14 cnf(matrix-4914, plain, ( ~class_Int_Onumber__ring(_u11194) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11194), _u11195), hAPP(c_Int_Onumber__class_Onumber__of(_u11194), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11194), _u11195), _u11195)) )).
% 39.91/40.14 cnf(matrix-4915, plain, ( ~class_Int_Onumber__ring(_u11196) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11196), hAPP(c_Int_Onumber__class_Onumber__of(_u11196), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u11197) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11196), _u11197), _u11197)) )).
% 39.91/40.14 cnf(matrix-4916, plain, ( ~class_Int_Onumber__ring(_u11198) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11198), c_Groups_Oone__class_Oone(_u11198)), c_Groups_Oone__class_Oone(_u11198)) = hAPP(c_Int_Onumber__class_Onumber__of(_u11198), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) )).
% 39.91/40.14 cnf(matrix-4917, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u11199) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11199), _u11200), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Groups_Ozero__class_Ozero(_u11199)) | ( _u11200 = c_Groups_Ozero__class_Ozero(_u11199)) )).
% 39.91/40.14 cnf(matrix-4918, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u11199) | ( _u11200 != c_Groups_Ozero__class_Ozero(_u11199)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11199), _u11200), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(_u11199)) )).
% 39.91/40.14 cnf(matrix-4919, plain, ( ~class_Rings_Osemiring__1(_u11201) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11201), c_Groups_Ozero__class_Ozero(_u11201)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(_u11201)) )).
% 39.91/40.14 cnf(matrix-4920, 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)))) )).
% 39.91/40.14 cnf(matrix-4921, 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)))) )).
% 39.91/40.14 cnf(matrix-4922, plain, ( ~class_Groups_Omonoid__mult(_u11202) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11202), _u11203), 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(_u11202), _u11203), _u11203)) )).
% 39.91/40.14 cnf(matrix-4923, plain, ( ~class_Rings_Ocomm__semiring__1(_u11204) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11204), _u11205), _u11205) = hAPP(hAPP(c_Power_Opower__class_Opower(_u11204), _u11205), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 39.91/40.14 cnf(matrix-4924, 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))))) )).
% 39.91/40.14 cnf(matrix-4925, 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)))), _u11206) = hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u11206))) )).
% 39.91/40.14 cnf(matrix-4926, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11207), 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, _u11207))) )).
% 39.91/40.14 cnf(matrix-4927, plain, ( ~class_Rings_Osemiring__1(_u11208) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11208), c_Groups_Oone__class_Oone(_u11208)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(_u11208)) )).
% 39.91/40.14 cnf(matrix-4928, plain, ( ~class_Rings_Oring__1(_u11209) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11209), hAPP(c_Groups_Ouminus__class_Ouminus(_u11209), _u11210)), 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(_u11209), _u11210), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 39.91/40.14 cnf(matrix-4929, 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)))), _u11211) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11211), _u11211)) )).
% 39.91/40.14 cnf(matrix-4930, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u11212), 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), _u11212), _u11212)) )).
% 39.91/40.14 cnf(matrix-4931, plain, ( ~class_Groups_Omonoid__mult(_u11213) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11213), _u11214), 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)))), _u11215)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u11213), hAPP(hAPP(c_Power_Opower__class_Opower(_u11213), _u11214), _u11215)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 39.91/40.14 cnf(matrix-4932, 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))))) )).
% 39.91/40.14 cnf(matrix-4933, 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))))) )).
% 39.91/40.14 cnf(matrix-4934, 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)))) )).
% 39.91/40.14 cnf(matrix-4935, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u11216)), 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, _u11216, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 39.91/40.14 cnf(matrix-4936, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u11217))), 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), _u11217), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 39.91/40.14 cnf(matrix-4937, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u11218)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u11219))) = 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), _u11218), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11219)))) )).
% 39.91/40.14 cnf(matrix-4938, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11220), _u11220)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = _u11220) )).
% 39.91/40.14 cnf(matrix-4939, plain, ( ~class_Int_Onumber__ring(_u11221) | ~c_Int_Oiszero(_u11221, hAPP(c_Int_Onumber__class_Onumber__of(_u11221), c_Int_OBit1(c_Int_OPls))) )).
% 39.91/40.14 cnf(matrix-4940, plain, ( ~class_Int_Onumber__ring(_u11222) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u11222), _u11223) != hAPP(c_Int_Onumber__class_Onumber__of(_u11222), _u11224)) | c_Int_Oiszero(_u11222, hAPP(c_Int_Onumber__class_Onumber__of(_u11222), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11223), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11224)))) )).
% 39.91/40.14 cnf(matrix-4941, plain, ( ~class_Int_Onumber__ring(_u11222) | ~c_Int_Oiszero(_u11222, hAPP(c_Int_Onumber__class_Onumber__of(_u11222), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11223), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11224)))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u11222), _u11223) = hAPP(c_Int_Onumber__class_Onumber__of(_u11222), _u11224)) )).
% 39.91/40.14 cnf(matrix-4942, plain, ( ~class_Rings_Olinordered__idom(_u11225) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11225), c_Groups_Ozero__class_Ozero(_u11225)), hAPP(hAPP(c_Power_Opower__class_Opower(_u11225), _u11226), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 39.91/40.14 cnf(matrix-4943, plain, ( ~class_Rings_Olinordered__semidom(_u11227) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11227), hAPP(hAPP(c_Power_Opower__class_Opower(_u11227), _u11228), 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(_u11227), _u11229), 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(_u11227), c_Groups_Ozero__class_Ozero(_u11227)), _u11229)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11227), _u11228), _u11229)) )).
% 39.91/40.14 cnf(matrix-4944, plain, ( ~class_Rings_Olinordered__semidom(_u11230) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11230), _u11231), 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(_u11230), _u11232), 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(_u11230), c_Groups_Ozero__class_Ozero(_u11230)), _u11231)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11230), c_Groups_Ozero__class_Ozero(_u11230)), _u11232)) | ( _u11231 = _u11232) )).
% 39.91/40.14 cnf(matrix-4945, plain, ( ~class_Rings_Olinordered__idom(_u11233) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11233), c_Groups_Ozero__class_Ozero(_u11233)), hAPP(hAPP(c_Power_Opower__class_Opower(_u11233), _u11234), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) | ( _u11234 != c_Groups_Ozero__class_Ozero(_u11233)) )).
% 39.91/40.14 cnf(matrix-4946, plain, ( ~class_Rings_Olinordered__idom(_u11233) | ( _u11234 = c_Groups_Ozero__class_Ozero(_u11233)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11233), c_Groups_Ozero__class_Ozero(_u11233)), hAPP(hAPP(c_Power_Opower__class_Opower(_u11233), _u11234), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 39.91/40.14 cnf(matrix-4947, plain, ( ~class_Rings_Olinordered__idom(_u11235) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11235), hAPP(hAPP(c_Power_Opower__class_Opower(_u11235), _u11236), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), c_Groups_Ozero__class_Ozero(_u11235))) )).
% 39.91/40.14 cnf(matrix-4948, plain, ( ~class_Rings_Olinordered__idom(_u11237) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11237), hAPP(hAPP(c_Power_Opower__class_Opower(_u11237), _u11238), 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(_u11237), _u11239), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(_u11237)) | ( _u11238 = c_Groups_Ozero__class_Ozero(_u11237)) )).
% 39.91/40.14 cnf(matrix-4949, plain, ( ~class_Rings_Olinordered__idom(_u11237) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11237), hAPP(hAPP(c_Power_Opower__class_Opower(_u11237), _u11238), 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(_u11237), _u11239), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(_u11237)) | ( _u11239 = c_Groups_Ozero__class_Ozero(_u11237)) )).
% 39.91/40.14 cnf(matrix-4950, plain, ( ~class_Rings_Olinordered__idom(_u11237) | ( _u11238 != c_Groups_Ozero__class_Ozero(_u11237)) | ( _u11239 != c_Groups_Ozero__class_Ozero(_u11237)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11237), hAPP(hAPP(c_Power_Opower__class_Opower(_u11237), _u11238), 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(_u11237), _u11239), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Groups_Ozero__class_Ozero(_u11237)) )).
% 39.91/40.14 cnf(matrix-4951, plain, ( ~class_Groups_Omonoid__mult(_u11240) | ~class_Int_Onumber(_u11240) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11240), hAPP(c_Int_Onumber__class_Onumber__of(_u11240), _u11241)), 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(_u11240), hAPP(c_Int_Onumber__class_Onumber__of(_u11240), _u11241)), hAPP(c_Int_Onumber__class_Onumber__of(_u11240), _u11241))) )).
% 39.91/40.14 cnf(matrix-4952, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11242), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) | ( _u11242 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u11242 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 39.91/40.14 cnf(matrix-4953, 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)))) )).
% 39.91/40.14 cnf(matrix-4954, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u11243) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11243), _u11244), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Groups_Oone__class_Oone(_u11243)) | ( _u11244 = c_Groups_Oone__class_Oone(_u11243)) | ( _u11244 = hAPP(c_Groups_Ouminus__class_Ouminus(_u11243), c_Groups_Oone__class_Oone(_u11243))) )).
% 39.91/40.14 cnf(matrix-4955, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u11243) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11243), _u11244), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(_u11243)) | ( _u11244 != c_Groups_Oone__class_Oone(_u11243)) )).
% 39.91/40.14 cnf(matrix-4956, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u11243) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11243), _u11244), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(_u11243)) | ( _u11244 != hAPP(c_Groups_Ouminus__class_Ouminus(_u11243), c_Groups_Oone__class_Oone(_u11243))) )).
% 39.91/40.14 cnf(matrix-4957, plain, ( ~class_Rings_Ocomm__semiring__1(_u11245) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11245), _u11246), 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)))), _u11247)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11245), hAPP(hAPP(c_Power_Opower__class_Opower(_u11245), _u11246), _u11247)), hAPP(hAPP(c_Power_Opower__class_Opower(_u11245), _u11246), _u11247))) )).
% 39.91/40.14 cnf(matrix-4958, plain, ( ~class_Rings_Oring__1(_u11248) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11248), hAPP(c_Groups_Ouminus__class_Ouminus(_u11248), _u11249)), 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)))), _u11250)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u11248), _u11249), 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)))), _u11250))) )).
% 39.91/40.14 cnf(matrix-4959, plain, ( ~class_Rings_Olinordered__semidom(_u11251) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11251), hAPP(hAPP(c_Power_Opower__class_Opower(_u11251), _u11252), 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(_u11251), _u11253), 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(_u11251), c_Groups_Ozero__class_Ozero(_u11251)), _u11253)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11251), _u11252), _u11253)) )).
% 39.91/40.14 cnf(matrix-4960, plain, ( ~class_Rings_Olinordered__idom(_u11254) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11254), c_Groups_Ozero__class_Ozero(_u11254)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11254), hAPP(hAPP(c_Power_Opower__class_Opower(_u11254), _u11255), 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(_u11254), _u11256), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) )).
% 39.91/40.14 cnf(matrix-4961, plain, ( ~class_Rings_Olinordered__idom(_u11257) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11257), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11257), hAPP(hAPP(c_Power_Opower__class_Opower(_u11257), _u11258), 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(_u11257), _u11259), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u11257))) | ( _u11258 = c_Groups_Ozero__class_Ozero(_u11257)) )).
% 39.91/40.14 cnf(matrix-4962, plain, ( ~class_Rings_Olinordered__idom(_u11257) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11257), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11257), hAPP(hAPP(c_Power_Opower__class_Opower(_u11257), _u11258), 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(_u11257), _u11259), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u11257))) | ( _u11259 = c_Groups_Ozero__class_Ozero(_u11257)) )).
% 39.91/40.14 cnf(matrix-4963, plain, ( ~class_Rings_Olinordered__idom(_u11257) | ( _u11258 != c_Groups_Ozero__class_Ozero(_u11257)) | ( _u11259 != c_Groups_Ozero__class_Ozero(_u11257)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11257), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11257), hAPP(hAPP(c_Power_Opower__class_Opower(_u11257), _u11258), 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(_u11257), _u11259), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u11257))) )).
% 39.91/40.14 cnf(matrix-4964, plain, ( ~class_Rings_Olinordered__idom(_u11260) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11260), c_Groups_Ozero__class_Ozero(_u11260)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11260), hAPP(hAPP(c_Power_Opower__class_Opower(_u11260), _u11261), 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(_u11260), _u11262), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) | ( _u11261 != c_Groups_Ozero__class_Ozero(_u11260)) | ( _u11262 != c_Groups_Ozero__class_Ozero(_u11260)) )).
% 39.91/40.14 cnf(matrix-4965, plain, ( ~class_Rings_Olinordered__idom(_u11260) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11260), c_Groups_Ozero__class_Ozero(_u11260)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11260), hAPP(hAPP(c_Power_Opower__class_Opower(_u11260), _u11261), 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(_u11260), _u11262), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) | ( _u11261 = c_Groups_Ozero__class_Ozero(_u11260)) )).
% 39.91/40.14 cnf(matrix-4966, plain, ( ~class_Rings_Olinordered__idom(_u11260) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11260), c_Groups_Ozero__class_Ozero(_u11260)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11260), hAPP(hAPP(c_Power_Opower__class_Opower(_u11260), _u11261), 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(_u11260), _u11262), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) | ( _u11262 = c_Groups_Ozero__class_Ozero(_u11260)) )).
% 39.91/40.14 cnf(matrix-4967, plain, ( ~class_Rings_Olinordered__idom(_u11263) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11263), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11263), hAPP(hAPP(c_Power_Opower__class_Opower(_u11263), _u11264), 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(_u11263), _u11265), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u11263))) )).
% 39.91/40.14 cnf(matrix-4968, plain, ( ~class_Int_Onumber__ring(_u11266) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11266), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11266), _u11267), _u11268)), 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(_u11266), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11266), hAPP(hAPP(c_Power_Opower__class_Opower(_u11266), _u11267), 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(_u11266), _u11268), 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(_u11266), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11266), hAPP(c_Int_Onumber__class_Onumber__of(_u11266), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u11267)), _u11268))) )).
% 39.91/40.14 cnf(matrix-4969, plain, ( ~class_Rings_Olinordered__idom(_u11269) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11269), c_Groups_Ozero__class_Ozero(_u11269)), hAPP(hAPP(c_Power_Opower__class_Opower(_u11269), _u11270), 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)))), _u11271)))) )).
% 39.91/40.14 cnf(matrix-4970, plain, ( ~class_Groups_Omonoid__mult(_u11272) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11272), _u11273), 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)))), _u11274))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11272), _u11273), hAPP(hAPP(c_Power_Opower__class_Opower(_u11272), hAPP(hAPP(c_Power_Opower__class_Opower(_u11272), _u11273), _u11274)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 39.91/40.14 cnf(matrix-4971, plain, ( ~class_Rings_Ocomm__semiring__1(_u11275) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11275), _u11276), 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)))), _u11277))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11275), _u11276), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11275), hAPP(hAPP(c_Power_Opower__class_Opower(_u11275), _u11276), _u11277)), hAPP(hAPP(c_Power_Opower__class_Opower(_u11275), _u11276), _u11277)))) )).
% 39.91/40.14 cnf(matrix-4972, plain, ( ~class_Rings_Oring__1(_u11278) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11278), hAPP(c_Groups_Ouminus__class_Ouminus(_u11278), c_Groups_Oone__class_Oone(_u11278))), 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)))), _u11279)) = c_Groups_Oone__class_Oone(_u11278)) )).
% 39.91/40.14 cnf(matrix-4973, 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), _u11282))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u11284))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u11282))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11284)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11282))) )).
% 39.91/40.14 cnf(matrix-4974, 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), _u11283))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u11285))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u11283))) = 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), _u11285)), c_Groups_Oone__class_Oone(tc_Int_Oint))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11283))) )).
% 39.91/40.14 cnf(matrix-4975, 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, _u11287, 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, _u11287, 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)) )).
% 39.91/40.14 cnf(matrix-4976, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u11288, 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, _u11288, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 39.91/40.14 cnf(matrix-4977, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u11289)) | 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), _u11289), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 39.91/40.14 cnf(matrix-4978, plain, ( ~class_Int_Onumber__ring(_u11290) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11290), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11290), _u11291), _u11292)), 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(_u11290), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11290), hAPP(hAPP(c_Power_Opower__class_Opower(_u11290), _u11291), 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(_u11290), _u11292), 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(_u11290), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11290), hAPP(c_Int_Onumber__class_Onumber__of(_u11290), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u11291)), _u11292))) )).
% 39.91/40.14 cnf(matrix-4979, plain, ( ~class_Rings_Olinordered__idom(_u11293) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11293), c_Groups_Ozero__class_Ozero(_u11293)), hAPP(hAPP(c_Power_Opower__class_Opower(_u11293), _u11294), 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)))), _u11295))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11293), c_Groups_Ozero__class_Ozero(_u11293)), _u11294)) )).
% 39.91/40.14 cnf(matrix-4980, plain, ( ~class_Rings_Olinordered__idom(_u11296) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11296), _u11297), c_Groups_Ozero__class_Ozero(_u11296))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11296), hAPP(hAPP(c_Power_Opower__class_Opower(_u11296), _u11297), 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)))), _u11298)))), c_Groups_Ozero__class_Ozero(_u11296))) )).
% 39.91/40.14 cnf(matrix-4981, plain, ( ~class_Rings_Oring__1(_u11299) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11299), hAPP(c_Groups_Ouminus__class_Ouminus(_u11299), c_Groups_Oone__class_Oone(_u11299))), 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)))), _u11300))) = hAPP(c_Groups_Ouminus__class_Ouminus(_u11299), c_Groups_Oone__class_Oone(_u11299))) )).
% 39.91/40.14 cnf(matrix-4982, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11301)) | 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), _u11301), 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)))))) )).
% 39.91/40.14 cnf(matrix-4983, plain, ( ~class_Int_Onumber__ring(_u11302) | ( c_Groups_Ozero__class_Ozero(_u11302) != hAPP(c_Int_Onumber__class_Onumber__of(_u11302), _u11303)) | c_Int_Oiszero(_u11302, hAPP(c_Int_Onumber__class_Onumber__of(_u11302), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OPls), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11303)))) )).
% 39.91/40.14 cnf(matrix-4984, plain, ( ~class_Int_Onumber__ring(_u11302) | ~c_Int_Oiszero(_u11302, hAPP(c_Int_Onumber__class_Onumber__of(_u11302), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OPls), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11303)))) | ( c_Groups_Ozero__class_Ozero(_u11302) = hAPP(c_Int_Onumber__class_Onumber__of(_u11302), _u11303)) )).
% 39.91/40.14 cnf(matrix-4985, plain, ( ~class_Int_Onumber__ring(_u11304) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u11304), _u11305) != c_Groups_Ozero__class_Ozero(_u11304)) | c_Int_Oiszero(_u11304, hAPP(c_Int_Onumber__class_Onumber__of(_u11304), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11305), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OPls)))) )).
% 39.91/40.14 cnf(matrix-4986, plain, ( ~class_Int_Onumber__ring(_u11304) | ~c_Int_Oiszero(_u11304, hAPP(c_Int_Onumber__class_Onumber__of(_u11304), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11305), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OPls)))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u11304), _u11305) = c_Groups_Ozero__class_Ozero(_u11304)) )).
% 39.91/40.14 cnf(matrix-4987, plain, ( ~class_Rings_Osemiring__1(_u11306) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11307)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u11306), 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)))), _u11307))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11306), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u11306), hAPP(c_Int_Onat, _u11307))), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u11306), hAPP(c_Int_Onat, _u11307)))) )).
% 39.91/40.14 cnf(matrix-4988, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11308)) | ( 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)))), _u11309)), 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)))), _u11308)) = 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, _u11309, _u11308)))) )).
% 39.91/40.14 cnf(matrix-4989, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11310), 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)))), _u11311))), 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)))), _u11310)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11311), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u11310)) )).
% 39.91/40.14 cnf(matrix-4990, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11312)) | ( 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)))), _u11313))), 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)))), _u11312)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u11313), _u11312)) )).
% 39.91/40.14 cnf(matrix-4991, 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), _u11314)), 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))), _u11315))), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u11316))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u11316)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11314), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11314), 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), _u11316), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), _u11315))))) )).
% 39.91/40.14 cnf(matrix-4992, plain, ( ( c_Divides_Oadjust(_u11317) = 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)), _u11317))))), 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)), _u11317))))), 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)))))))) )).
% 39.91/40.14 cnf(matrix-4993, plain, ( ( hAPP(c_Divides_Oadjust(_u11318), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u11319), _u11320)) = 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), _u11320), _u11318)), 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)))), _u11319)), 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)))), _u11319)), _u11320)))) )).
% 39.91/40.14 cnf(matrix-4994, 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), _u11321))) | ~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), _u11321))) | ( c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11321)) = 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))) )).
% 39.91/40.14 cnf(matrix-4995, 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), _u11321))) | 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), _u11321))) | ( c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11321)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11321)), 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), _u11321))))) )).
% 39.91/40.14 cnf(matrix-4996, plain, ( ( c_Divides_OposDivAlg(_u11324, _u11326) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11324)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11324), _u11326)) )).
% 39.91/40.14 cnf(matrix-4997, plain, ( ( c_Divides_OposDivAlg(_u11324, _u11326) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11324)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11326), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.91/40.14 cnf(matrix-4998, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11325), _u11327)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11327), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OposDivAlg(_u11325, _u11327) = hAPP(c_Divides_Oadjust(_u11327), c_Divides_OposDivAlg(_u11325, 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)))), _u11327)))) )).
% 39.91/40.14 cnf(matrix-4999, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11328)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11329), _u11328)) | ( c_Divides_OposDivAlg(_u11329, _u11328) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11329)) )).
% 39.91/40.14 cnf(matrix-5000, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11328)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11329), _u11328)) | ( c_Divides_OposDivAlg(_u11329, _u11328) = hAPP(c_Divides_Oadjust(_u11328), c_Divides_OposDivAlg(_u11329, 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)))), _u11328)))) )).
% 39.91/40.14 cnf(matrix-5001, 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), _u11330))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11331)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11330))) | ( c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11331), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11330)) = 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), _u11331))) )).
% 39.91/40.14 cnf(matrix-5002, 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), _u11330))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11331)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11330))) | ( c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11331), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11330)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11330)), c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11331), 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), _u11330))))) )).
% 39.91/40.14 cnf(matrix-5003, 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), _u11332), _u11333))) | ( c_Divides_OposDivAlg(_u11332, _u11333) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11332)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11332), _u11333)) )).
% 39.91/40.14 cnf(matrix-5004, 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), _u11332), _u11333))) | ( c_Divides_OposDivAlg(_u11332, _u11333) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11332)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11333), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.91/40.14 cnf(matrix-5005, 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), _u11332), _u11333))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11332), _u11333)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11333), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OposDivAlg(_u11332, _u11333) = hAPP(c_Divides_Oadjust(_u11333), c_Divides_OposDivAlg(_u11332, 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)))), _u11333)))) )).
% 39.91/40.14 cnf(matrix-5006, plain, ( ~class_Rings_Oring__1(_u11334) | ( _u11335 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u11334), _u11335) = c_Groups_Ozero__class_Ozero(_u11334)) )).
% 39.91/40.14 cnf(matrix-5007, plain, ( ~class_Rings_Oring__1(_u11334) | ( _u11335 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11335), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u11334), _u11335) = hAPP(c_Groups_Ouminus__class_Ouminus(_u11334), hAPP(c_Int_Oring__1__class_Oof__int(_u11334), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11335)))) )).
% 39.91/40.14 cnf(matrix-5008, plain, ( ~class_Rings_Oring__1(_u11334) | ( _u11335 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11335), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u11334), _u11335) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint, tc_Int_Oint, _u11334), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_fun(_u11334, _u11334)), tc_fun(tc_Int_Oint, _u11334)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u11334, _u11334), _u11334), tc_fun(tc_fun(tc_Int_Oint, tc_fun(_u11334, _u11334)), tc_fun(tc_Int_Oint, _u11334)), tc_Int_Oint), c_COMBB(tc_fun(_u11334, _u11334), _u11334, tc_Int_Oint)), hAPP(hAPP(c_COMBB(_u11334, tc_fun(tc_fun(_u11334, _u11334), _u11334), tc_Int_Oint), c_HOL_OLet(_u11334, _u11334)), c_Int_Oring__1__class_Oof__int(_u11334)))), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_fun(_u11334, _u11334), tc_fun(_u11334, _u11334)), hAPP(hAPP(c_COMBB(tc_fun(_u11334, tc_fun(_u11334, _u11334)), tc_fun(tc_fun(_u11334, _u11334), tc_fun(_u11334, _u11334)), tc_Int_Oint), c_COMBS(_u11334, _u11334, _u11334)), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_fun(_u11334, _u11334), tc_fun(_u11334, tc_fun(_u11334, _u11334))), hAPP(hAPP(c_COMBB(tc_fun(_u11334, tc_fun(_u11334, _u11334)), tc_fun(tc_fun(_u11334, _u11334), tc_fun(_u11334, tc_fun(_u11334, _u11334))), tc_Int_Oint), c_COMBB(_u11334, tc_fun(_u11334, _u11334), _u11334)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u11334, tc_fun(_u11334, _u11334)), tc_Int_Oint), c_If(_u11334)), 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(_u11334, _u11334, _u11334), c_Groups_Oplus__class_Oplus(_u11334)), c_COMBI(_u11334))))), hAPP(hAPP(c_COMBC(_u11334, _u11334, _u11334), hAPP(hAPP(c_COMBB(_u11334, tc_fun(_u11334, _u11334), _u11334), c_Groups_Oplus__class_Oplus(_u11334)), hAPP(hAPP(c_COMBS(_u11334, _u11334, _u11334), c_Groups_Oplus__class_Oplus(_u11334)), c_COMBI(_u11334)))), c_Groups_Oone__class_Oone(_u11334))))), c_Divides_Odivmod__int(_u11335, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 39.91/40.14 cnf(matrix-5009, 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), _u11336))) | ~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), _u11336)))) | ( c_Divides_OnegDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11336)) = 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), _u11336)))) )).
% 39.91/40.14 cnf(matrix-5010, 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), _u11336))) | 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), _u11336)))) | ( c_Divides_OnegDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11336)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11336)), 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), _u11336))))) )).
% 39.91/40.14 cnf(matrix-5011, plain, ( ( c_Int_OPls != c_Int_OMin) )).
% 39.91/40.14 cnf(matrix-5012, plain, ( ( c_Int_OMin != c_Int_OPls) )).
% 39.91/40.14 cnf(matrix-5013, plain, ( ~class_Int_Onumber__ring(_u11337) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u11337), _u11338) = hAPP(c_Int_Oring__1__class_Oof__int(_u11337), _u11338)) )).
% 39.91/40.14 cnf(matrix-5014, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11339) = hAPP(c_Int_Oring__1__class_Oof__int(tc_Int_Oint), _u11339)) )).
% 39.91/40.14 cnf(matrix-5015, plain, ( ~class_Int_Onumber__ring(_u11340) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u11340), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) = hAPP(c_Int_Onumber__class_Onumber__of(_u11340), c_Int_OMin)) )).
% 39.91/40.14 cnf(matrix-5016, plain, ( ( c_Int_OBit1(_u11342) != c_Int_OMin) | ( _u11342 = c_Int_OMin) )).
% 39.91/40.14 cnf(matrix-5017, plain, ( ( _u11343 != c_Int_OMin) | ( c_Int_OBit1(_u11343) = c_Int_OMin) )).
% 39.91/40.14 cnf(matrix-5018, plain, ( ( c_Int_OMin != c_Int_OBit1(_u11345)) | ( c_Int_OMin = _u11345) )).
% 39.91/40.14 cnf(matrix-5019, plain, ( ( c_Int_OMin != _u11346) | ( c_Int_OMin = c_Int_OBit1(_u11346)) )).
% 39.91/40.14 cnf(matrix-5020, plain, ( ( c_Int_OBit1(c_Int_OMin) = c_Int_OMin) )).
% 39.91/40.14 cnf(matrix-5021, plain, ( ( hAPP(c_Int_Oring__1__class_Oof__int(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u11347)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u11347)) )).
% 39.91/40.14 cnf(matrix-5022, plain, ( ~class_Int_Oring__char__0(_u11348) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u11348), _u11349) != hAPP(c_Int_Oring__1__class_Oof__int(_u11348), _u11350)) | ( _u11349 = _u11350) )).
% 39.91/40.14 cnf(matrix-5023, plain, ( ~class_Int_Oring__char__0(_u11348) | ( _u11349 != _u11350) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u11348), _u11349) = hAPP(c_Int_Oring__1__class_Oof__int(_u11348), _u11350)) )).
% 39.91/40.14 cnf(matrix-5024, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OMin)) )).
% 39.91/40.14 cnf(matrix-5025, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OMin)) )).
% 39.91/40.14 cnf(matrix-5026, plain, ( ( c_Int_OBit0(_u11351) != c_Int_OMin) )).
% 39.91/40.14 cnf(matrix-5027, plain, ( ( c_Int_OMin != c_Int_OBit0(_u11352)) )).
% 39.91/40.14 cnf(matrix-5028, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.91/40.14 cnf(matrix-5029, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OPls)) )).
% 39.91/40.14 cnf(matrix-5030, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OMin)) )).
% 39.91/40.14 cnf(matrix-5031, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u11354))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), _u11354)) )).
% 39.91/40.14 cnf(matrix-5032, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), _u11355)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u11355))) )).
% 39.91/40.14 cnf(matrix-5033, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u11357)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11357), c_Int_OMin)) )).
% 39.91/40.14 cnf(matrix-5034, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11358), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u11358)), c_Int_OMin)) )).
% 39.91/40.14 cnf(matrix-5035, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OMin)) )).
% 39.91/40.14 cnf(matrix-5036, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OPls)) )).
% 39.91/40.14 cnf(matrix-5037, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u11360)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11360), c_Int_OMin)) )).
% 39.91/40.14 cnf(matrix-5038, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11361), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u11361)), c_Int_OMin)) )).
% 39.91/40.14 cnf(matrix-5039, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u11363))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u11363)) )).
% 39.91/40.14 cnf(matrix-5040, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u11364)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u11364))) )).
% 39.91/40.14 cnf(matrix-5041, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u11366)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11366), c_Int_OMin)) )).
% 39.91/40.14 cnf(matrix-5042, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11367), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u11367)), c_Int_OMin)) )).
% 39.91/40.14 cnf(matrix-5043, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u11369))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u11369)) )).
% 39.91/40.14 cnf(matrix-5044, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u11370)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u11370))) )).
% 39.91/40.14 cnf(matrix-5045, 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)) )).
% 39.91/40.14 cnf(matrix-5046, plain, ( ( c_Int_OMin = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 39.91/40.14 cnf(matrix-5047, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OMin), _u11371) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11371)) )).
% 39.91/40.14 cnf(matrix-5048, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin))) )).
% 39.91/40.14 cnf(matrix-5049, plain, ( ~class_Rings_Oring__1(_u11372) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u11372), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(_u11372)) )).
% 39.91/40.14 cnf(matrix-5050, plain, ( ~class_Int_Oring__char__0(_u11373) | ( c_Groups_Ozero__class_Ozero(_u11373) != hAPP(c_Int_Oring__1__class_Oof__int(_u11373), _u11374)) | ( _u11374 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 39.91/40.14 cnf(matrix-5051, plain, ( ~class_Int_Oring__char__0(_u11373) | ( _u11374 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Groups_Ozero__class_Ozero(_u11373) = hAPP(c_Int_Oring__1__class_Oof__int(_u11373), _u11374)) )).
% 39.91/40.14 cnf(matrix-5052, plain, ( ~class_Int_Oring__char__0(_u11375) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u11375), _u11376) != c_Groups_Ozero__class_Ozero(_u11375)) | ( _u11376 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 39.91/40.14 cnf(matrix-5053, plain, ( ~class_Int_Oring__char__0(_u11375) | ( _u11376 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u11375), _u11376) = c_Groups_Ozero__class_Ozero(_u11375)) )).
% 39.91/40.14 cnf(matrix-5054, plain, ( ~class_Rings_Olinordered__idom(_u11377) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11377), hAPP(c_Int_Oring__1__class_Oof__int(_u11377), _u11378)), hAPP(c_Int_Oring__1__class_Oof__int(_u11377), _u11379))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11378), _u11379)) )).
% 39.91/40.14 cnf(matrix-5055, plain, ( ~class_Rings_Olinordered__idom(_u11377) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11378), _u11379)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11377), hAPP(c_Int_Oring__1__class_Oof__int(_u11377), _u11378)), hAPP(c_Int_Oring__1__class_Oof__int(_u11377), _u11379))) )).
% 39.91/40.14 cnf(matrix-5056, plain, ( ~class_Rings_Olinordered__idom(_u11380) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11380), hAPP(c_Int_Oring__1__class_Oof__int(_u11380), _u11381)), hAPP(c_Int_Oring__1__class_Oof__int(_u11380), _u11382))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11381), _u11382)) )).
% 39.91/40.14 cnf(matrix-5057, plain, ( ~class_Rings_Olinordered__idom(_u11380) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11381), _u11382)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11380), hAPP(c_Int_Oring__1__class_Oof__int(_u11380), _u11381)), hAPP(c_Int_Oring__1__class_Oof__int(_u11380), _u11382))) )).
% 39.91/40.14 cnf(matrix-5058, plain, ( ~class_Int_Onumber__ring(_u11383) | ~c_Int_Oiszero(_u11383, hAPP(c_Int_Onumber__class_Onumber__of(_u11383), c_Int_OMin)) )).
% 39.91/40.14 cnf(matrix-5059, plain, ( ~class_Rings_Oring__1(_u11384) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u11384), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11385), _u11386)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11384), hAPP(c_Int_Oring__1__class_Oof__int(_u11384), _u11385)), hAPP(c_Int_Oring__1__class_Oof__int(_u11384), _u11386))) )).
% 39.91/40.14 cnf(matrix-5060, plain, ( ~class_Int_Onumber__ring(_u11387) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u11387), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11388)) = hAPP(c_Int_Onumber__class_Onumber__of(_u11387), _u11388)) )).
% 39.91/40.14 cnf(matrix-5061, plain, ( ~class_Rings_Oring__1(_u11389) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u11389), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u11390), _u11391)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11389), hAPP(c_Int_Oring__1__class_Oof__int(_u11389), _u11390)), hAPP(c_Int_Oring__1__class_Oof__int(_u11389), _u11391))) )).
% 39.91/40.14 cnf(matrix-5062, plain, ( ( c_Int_Osucc(c_Int_OMin) = c_Int_OPls) )).
% 39.91/40.14 cnf(matrix-5063, plain, ( ~class_Rings_Oring__1(_u11392) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u11392), c_Groups_Oone__class_Oone(tc_Int_Oint)) = c_Groups_Oone__class_Oone(_u11392)) )).
% 39.91/40.14 cnf(matrix-5064, plain, ( ~class_Rings_Oring__1(_u11393) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u11393), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11394), _u11395)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11393), hAPP(c_Int_Oring__1__class_Oof__int(_u11393), _u11394)), hAPP(c_Int_Oring__1__class_Oof__int(_u11393), _u11395))) )).
% 39.91/40.14 cnf(matrix-5065, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11396), c_Int_OMin) = c_Int_Osucc(_u11396)) )).
% 39.91/40.14 cnf(matrix-5066, plain, ( ~class_Rings_Oring__1(_u11397) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u11397), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u11398)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u11397), _u11398)) )).
% 39.91/40.14 cnf(matrix-5067, plain, ( ~class_Rings_Oring__1(_u11399) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u11399), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11400)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u11399), hAPP(c_Int_Oring__1__class_Oof__int(_u11399), _u11400))) )).
% 39.91/40.14 cnf(matrix-5068, plain, ( ~class_Rings_Oring__1(_u11401) | hBOOL(hAPP(hAPP(c_member(_u11401), hAPP(c_Int_Oring__1__class_Oof__int(_u11401), _u11402)), c_Int_Oring__1__class_OInts(_u11401))) )).
% 39.91/40.14 cnf(matrix-5069, plain, ( ~class_Rings_Oring__1(_u11403) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u11403), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u11404), _u11405)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u11403), hAPP(c_Int_Oring__1__class_Oof__int(_u11403), _u11404)), _u11405)) )).
% 39.91/40.14 cnf(matrix-5070, plain, ( ~class_Int_Onumber__ring(_u11406) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11406), hAPP(c_Int_Onumber__class_Onumber__of(_u11406), c_Int_OMin)), _u11407) = hAPP(c_Groups_Ouminus__class_Ouminus(_u11406), _u11407)) )).
% 39.91/40.14 cnf(matrix-5071, plain, ( ~class_Int_Onumber__ring(_u11408) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11408), _u11409), hAPP(c_Int_Onumber__class_Onumber__of(_u11408), c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u11408), _u11409)) )).
% 39.91/40.14 cnf(matrix-5072, plain, ( ~class_Int_Onumber__ring(_u11410) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u11410), c_Int_OMin) = hAPP(c_Groups_Ouminus__class_Ouminus(_u11410), c_Groups_Oone__class_Oone(_u11410))) )).
% 39.91/40.14 cnf(matrix-5073, plain, ( ~class_Int_Onumber__ring(_u11411) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u11411), c_Groups_Oone__class_Oone(_u11411)) = hAPP(c_Int_Onumber__class_Onumber__of(_u11411), c_Int_OMin)) )).
% 39.91/40.14 cnf(matrix-5074, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u11413)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11413), c_Int_OMin)) )).
% 39.91/40.14 cnf(matrix-5075, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11414), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u11414)), c_Int_OMin)) )).
% 39.91/40.14 cnf(matrix-5076, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u11416))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u11416)) )).
% 39.91/40.14 cnf(matrix-5077, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u11417)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u11417))) )).
% 39.91/40.14 cnf(matrix-5078, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u11418, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 39.91/40.14 cnf(matrix-5079, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u11419)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), _u11419))) )).
% 39.91/40.14 cnf(matrix-5080, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OMin) = c_Int_OBit1(c_Int_OPls)) )).
% 39.91/40.14 cnf(matrix-5081, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u11422), _u11424) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u11422 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u11422 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 39.91/40.14 cnf(matrix-5082, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u11422), _u11424) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u11422 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u11424 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 39.91/40.14 cnf(matrix-5083, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u11422), _u11424) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u11424 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u11422 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 39.91/40.14 cnf(matrix-5084, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u11422), _u11424) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u11424 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u11424 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 39.91/40.14 cnf(matrix-5085, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u11423), _u11425) = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u11423 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u11425 != c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 39.91/40.14 cnf(matrix-5086, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u11423), _u11425) = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u11423 != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) | ( _u11425 != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 39.91/40.14 cnf(matrix-5087, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u11426), _u11427) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u11426 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u11426 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 39.91/40.14 cnf(matrix-5088, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u11428)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), _u11428))) )).
% 39.91/40.14 cnf(matrix-5089, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u11429)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), _u11429))) )).
% 39.91/40.14 cnf(matrix-5090, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u11430), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11430)) )).
% 39.91/40.14 cnf(matrix-5091, plain, ( ~class_Rings_Oring__1(_u11431) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u11431), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11432, tc_Int_Oint), _u11433), _u11434)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11432, _u11431), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u11431, _u11432), c_Int_Oring__1__class_Oof__int(_u11431)), _u11433)), _u11434)) )).
% 39.91/40.14 cnf(matrix-5092, plain, ( ~class_Groups_Ocomm__monoid__mult(_u11435) | ~class_Rings_Oring__1(_u11435) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u11435), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11436, tc_Int_Oint), _u11437), _u11438)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11436, _u11435), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u11435, _u11436), c_Int_Oring__1__class_Oof__int(_u11435)), _u11437)), _u11438)) )).
% 39.91/40.14 cnf(matrix-5093, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11439)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)), _u11439) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 39.91/40.14 cnf(matrix-5094, plain, ( ~class_Rings_Olinordered__idom(_u11440) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11440), hAPP(c_Int_Oring__1__class_Oof__int(_u11440), _u11441)), c_Groups_Ozero__class_Ozero(_u11440))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11441), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.91/40.14 cnf(matrix-5095, plain, ( ~class_Rings_Olinordered__idom(_u11440) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11441), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11440), hAPP(c_Int_Oring__1__class_Oof__int(_u11440), _u11441)), c_Groups_Ozero__class_Ozero(_u11440))) )).
% 39.91/40.14 cnf(matrix-5096, plain, ( ~class_Rings_Olinordered__idom(_u11442) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11442), c_Groups_Ozero__class_Ozero(_u11442)), hAPP(c_Int_Oring__1__class_Oof__int(_u11442), _u11443))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11443)) )).
% 39.91/40.14 cnf(matrix-5097, plain, ( ~class_Rings_Olinordered__idom(_u11442) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11443)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11442), c_Groups_Ozero__class_Ozero(_u11442)), hAPP(c_Int_Oring__1__class_Oof__int(_u11442), _u11443))) )).
% 39.91/40.14 cnf(matrix-5098, plain, ( ~class_Rings_Olinordered__idom(_u11444) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11444), c_Groups_Ozero__class_Ozero(_u11444)), hAPP(c_Int_Oring__1__class_Oof__int(_u11444), _u11445))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11445)) )).
% 39.91/40.14 cnf(matrix-5099, plain, ( ~class_Rings_Olinordered__idom(_u11444) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11445)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11444), c_Groups_Ozero__class_Ozero(_u11444)), hAPP(c_Int_Oring__1__class_Oof__int(_u11444), _u11445))) )).
% 39.91/40.14 cnf(matrix-5100, plain, ( ~class_Rings_Olinordered__idom(_u11446) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11446), hAPP(c_Int_Oring__1__class_Oof__int(_u11446), _u11447)), c_Groups_Ozero__class_Ozero(_u11446))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11447), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.91/40.14 cnf(matrix-5101, plain, ( ~class_Rings_Olinordered__idom(_u11446) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11447), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11446), hAPP(c_Int_Oring__1__class_Oof__int(_u11446), _u11447)), c_Groups_Ozero__class_Ozero(_u11446))) )).
% 39.91/40.14 cnf(matrix-5102, plain, ( ~class_Rings_Oring__1(_u11448) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11449)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u11448), hAPP(c_Int_Onat, _u11449)) = hAPP(c_Int_Oring__1__class_Oof__int(_u11448), _u11449)) )).
% 39.91/40.14 cnf(matrix-5103, plain, ( ( c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin), _u11450) = 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), _u11450), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 39.91/40.14 cnf(matrix-5104, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11451)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11451), _u11452)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u11451), _u11452) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 39.91/40.14 cnf(matrix-5105, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11453)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin), _u11453) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11453), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 39.91/40.14 cnf(matrix-5106, plain, ( ~class_Rings_Oring__1(_u11454) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11455), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u11454), _u11455) = hAPP(c_Groups_Ouminus__class_Ouminus(_u11454), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u11454), hAPP(c_Int_Onat, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11455))))) )).
% 39.91/40.14 cnf(matrix-5107, plain, ( ~class_Rings_Oring__1(_u11454) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11455), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u11454), _u11455) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u11454), hAPP(c_Int_Onat, _u11455))) )).
% 39.91/40.14 cnf(matrix-5108, plain, ( ~class_Int_Onumber__ring(_u11456) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11456), hAPP(c_Int_Onumber__class_Onumber__of(_u11456), 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)))), _u11457)) = c_Groups_Oone__class_Oone(_u11456)) )).
% 39.91/40.14 cnf(matrix-5109, plain, ( ~class_Int_Onumber__ring(_u11458) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11458), hAPP(c_Int_Onumber__class_Onumber__of(_u11458), 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)))), _u11459))) = hAPP(c_Int_Onumber__class_Onumber__of(_u11458), c_Int_OMin)) )).
% 39.91/40.14 cnf(matrix-5110, plain, ( ( c_Divides_OnegDivAlg(_u11462, _u11464) = 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), _u11462), _u11464))) | ~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), _u11462), _u11464))) )).
% 39.91/40.14 cnf(matrix-5111, plain, ( ( c_Divides_OnegDivAlg(_u11462, _u11464) = 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), _u11462), _u11464))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11464), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.91/40.14 cnf(matrix-5112, 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), _u11463), _u11465))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11465), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OnegDivAlg(_u11463, _u11465) = hAPP(c_Divides_Oadjust(_u11465), c_Divides_OnegDivAlg(_u11463, 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)))), _u11465)))) )).
% 39.91/40.14 cnf(matrix-5113, 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), _u11466))) | ~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), _u11467)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11466)))) | ( c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11467), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11466)) = 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), _u11467)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11466)))) )).
% 39.91/40.14 cnf(matrix-5114, 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), _u11466))) | 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), _u11467)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11466)))) | ( c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11467), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11466)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11466)), c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11467), 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), _u11466))))) )).
% 39.91/40.14 cnf(matrix-5115, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11468)) | ~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), _u11469), _u11468))) | ( c_Divides_OnegDivAlg(_u11469, _u11468) = 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), _u11469), _u11468))) )).
% 39.91/40.14 cnf(matrix-5116, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11468)) | 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), _u11469), _u11468))) | ( c_Divides_OnegDivAlg(_u11469, _u11468) = hAPP(c_Divides_Oadjust(_u11468), c_Divides_OnegDivAlg(_u11469, 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)))), _u11468)))) )).
% 39.91/40.14 cnf(matrix-5117, 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), _u11470), _u11471))) | ( c_Divides_OnegDivAlg(_u11470, _u11471) = 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), _u11470), _u11471))) | ~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), _u11470), _u11471))) )).
% 39.91/40.14 cnf(matrix-5118, 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), _u11470), _u11471))) | ( c_Divides_OnegDivAlg(_u11470, _u11471) = 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), _u11470), _u11471))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11471), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.91/40.14 cnf(matrix-5119, 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), _u11470), _u11471))) | 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), _u11470), _u11471))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11471), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OnegDivAlg(_u11470, _u11471) = hAPP(c_Divides_Oadjust(_u11471), c_Divides_OnegDivAlg(_u11470, 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)))), _u11471)))) )).
% 39.91/40.14 cnf(matrix-5120, 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), _u11474), _u11475))) | hBOOL(hAPP(hAPP(_u11476, _u11474), _u11475)) | 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), skolem212(_u11476, _u11475, _u11474)), skolem213(_u11476, _u11475, _u11474)))) )).
% 39.91/40.14 cnf(matrix-5121, 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), _u11474), _u11475))) | hBOOL(hAPP(hAPP(_u11476, _u11474), _u11475)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem212(_u11476, _u11475, _u11474)), skolem213(_u11476, _u11475, _u11474))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem213(_u11476, _u11475, _u11474)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u11476, skolem212(_u11476, _u11475, _u11474)), 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)))), skolem213(_u11476, _u11475, _u11474)))) )).
% 39.91/40.14 cnf(matrix-5122, 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), _u11474), _u11475))) | hBOOL(hAPP(hAPP(_u11476, _u11474), _u11475)) | ~hBOOL(hAPP(hAPP(_u11476, skolem212(_u11476, _u11475, _u11474)), skolem213(_u11476, _u11475, _u11474))) )).
% 39.91/40.14 cnf(matrix-5123, plain, ( ( _u11478 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_Code__Numeral_Oint__of, _u11478) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 39.91/40.14 cnf(matrix-5124, plain, ( ( _u11479 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u11479, 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, _u11479) = 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), _u11479), hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) )).
% 39.91/40.14 cnf(matrix-5125, plain, ( ( _u11479 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u11479, 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, _u11479) = 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), _u11479), 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))) )).
% 39.91/40.14 cnf(matrix-5126, 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)) )).
% 39.91/40.14 cnf(matrix-5127, 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)) )).
% 39.91/40.14 cnf(matrix-5128, 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))) )).
% 39.91/40.14 cnf(matrix-5129, plain, ( ( c_Code__Numeral_Odiv__mod__code__numeral(_u11480, _u11481) = 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), _u11480), _u11481)), c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u11480, _u11481))) )).
% 39.91/40.14 cnf(matrix-5130, 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), _u11484), _u11485))) | hBOOL(hAPP(hAPP(_u11486, _u11484), _u11485)) | 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), skolem214(_u11486, _u11485, _u11484)), skolem215(_u11486, _u11485, _u11484)))) )).
% 39.91/40.14 cnf(matrix-5131, 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), _u11484), _u11485))) | hBOOL(hAPP(hAPP(_u11486, _u11484), _u11485)) | 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), skolem214(_u11486, _u11485, _u11484)), skolem215(_u11486, _u11485, _u11484)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem215(_u11486, _u11485, _u11484)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u11486, skolem214(_u11486, _u11485, _u11484)), 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)))), skolem215(_u11486, _u11485, _u11484)))) )).
% 39.91/40.14 cnf(matrix-5132, 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), _u11484), _u11485))) | hBOOL(hAPP(hAPP(_u11486, _u11484), _u11485)) | ~hBOOL(hAPP(hAPP(_u11486, skolem214(_u11486, _u11485, _u11484)), skolem215(_u11486, _u11485, _u11484))) )).
% 39.91/40.14 cnf(matrix-5133, plain, ( ( hAPP(hAPP(c_Smallcheck_Osmall__class_Osmall(tc_Int_Oint), _u11487), _u11488) = c_Smallcheck_Osmall_H(_u11487, hAPP(c_Code__Numeral_Oint__of, _u11488), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Code__Numeral_Oint__of, _u11488)))) )).
% 39.91/40.14 cnf(matrix-5134, plain, ( ~class_Smallcheck_Osmall(_u11489) | ~class_Smallcheck_Osmall(_u11490) | ( hAPP(hAPP(c_Smallcheck_Osmall__class_Osmall(tc_prod(_u11490, _u11489)), _u11491), _u11492) = hAPP(hAPP(c_Smallcheck_Osmall__class_Osmall(_u11490), hAPP(hAPP(c_COMBC(_u11490, tc_Code__Numeral_Ocode__numeral, tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))), hAPP(hAPP(c_COMBB(tc_fun(_u11489, tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))), _u11490), c_Smallcheck_Osmall__class_Osmall(_u11489)), hAPP(hAPP(c_COMBB(tc_fun(_u11489, tc_prod(_u11490, _u11489)), tc_fun(_u11489, tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))), _u11490), hAPP(c_COMBB(tc_prod(_u11490, _u11489), tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm)), _u11489), _u11491)), c_Product__Type_OPair(_u11490, _u11489)))), _u11492)), _u11492)) )).
% 39.91/40.14 cnf(matrix-5135, plain, ( ( _u11495 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Code__Numeral_Onat__of__aux(_u11495, _u11497) = _u11497) )).
% 39.91/40.14 cnf(matrix-5136, plain, ( ( _u11496 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Code__Numeral_Onat__of__aux(_u11496, _u11498) = c_Code__Numeral_Onat__of__aux(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u11496), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)), hAPP(c_Nat_OSuc, _u11498))) )).
% 39.91/40.14 cnf(matrix-5137, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11499)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11500)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u11500))), 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), _u11499)), c_Int_Onat))))) )).
% 39.91/40.14 cnf(matrix-5138, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11501)), hAPP(c_Nat_OSuc, _u11502)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u11501))), 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)), _u11502))))) )).
% 39.91/40.14 cnf(matrix-5139, plain, ( ( c_Int_Osucc(c_Int_Opred(_u11503)) = _u11503) )).
% 39.91/40.14 cnf(matrix-5140, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11506), _u11508)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_Opred(_u11506)), _u11508)) )).
% 39.91/40.14 cnf(matrix-5141, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_Opred(_u11507)), _u11509)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11507), _u11509)) )).
% 39.91/40.14 cnf(matrix-5142, plain, ( ( c_Int_Opred(c_Int_OBit1(_u11510)) = c_Int_OBit0(_u11510)) )).
% 39.91/40.14 cnf(matrix-5143, plain, ( ( c_Int_Opred(c_Int_OBit0(_u11511)) = c_Int_OBit1(c_Int_Opred(_u11511))) )).
% 39.91/40.14 cnf(matrix-5144, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(_u11512)) = c_Int_OBit1(c_Int_Opred(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11512)))) )).
% 39.91/40.14 cnf(matrix-5145, plain, ( ( c_Int_Opred(c_Int_OPls) = c_Int_OMin) )).
% 39.91/40.14 cnf(matrix-5146, plain, ( ( c_Int_Opred(_u11513) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11513), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 39.91/40.14 cnf(matrix-5147, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OMin), _u11514) = c_Int_Opred(_u11514)) )).
% 39.91/40.14 cnf(matrix-5148, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11515), c_Int_OMin) = c_Int_Opred(_u11515)) )).
% 39.91/40.14 cnf(matrix-5149, plain, ( ( c_Int_Opred(c_Int_OMin) = c_Int_OBit0(c_Int_OMin)) )).
% 39.91/40.14 cnf(matrix-5150, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit0(_u11516)), c_Int_OBit1(_u11517)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_Opred(_u11516)), _u11517))) )).
% 39.91/40.14 cnf(matrix-5151, plain, ( ~class_Int_Onumber__ring(_u11518) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u11518), c_Int_Opred(_u11519)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11518), hAPP(c_Groups_Ouminus__class_Ouminus(_u11518), c_Groups_Oone__class_Oone(_u11518))), hAPP(c_Int_Onumber__class_Onumber__of(_u11518), _u11519))) )).
% 39.91/40.14 cnf(matrix-5152, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u11521)))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11521) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.14 cnf(matrix-5153, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11522) != 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(_u11522)))) )).
% 39.91/40.14 cnf(matrix-5154, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u11523)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11524)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11523)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u11524), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Opred(_u11523)))) )).
% 39.91/40.14 cnf(matrix-5155, plain, ( ( hAPP(c_Nat_OSuc, _u11527) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11529)) | 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(_u11529))), 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)), _u11527))))) )).
% 39.91/40.14 cnf(matrix-5156, 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(_u11530))), 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)), _u11528))))) | ( hAPP(c_Nat_OSuc, _u11528) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11530)) )).
% 39.91/40.14 cnf(matrix-5157, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11533) != hAPP(c_Nat_OSuc, _u11535)) | 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(_u11533))), 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)), _u11535))))) )).
% 39.91/40.14 cnf(matrix-5158, 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(_u11534))), 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)), _u11536))))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11534) = hAPP(c_Nat_OSuc, _u11536)) )).
% 39.91/40.14 cnf(matrix-5159, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11538), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11538)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.14 cnf(matrix-5160, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11539), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11539)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Opred(_u11539))) )).
% 39.91/40.14 cnf(matrix-5161, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11542)), hAPP(c_Nat_OSuc, _u11544))) | 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(_u11542))), 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)), _u11544)))) )).
% 39.91/40.14 cnf(matrix-5162, 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(_u11543))), 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)), _u11545)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11543)), hAPP(c_Nat_OSuc, _u11545))) )).
% 39.91/40.14 cnf(matrix-5163, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11548)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11550))) | 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(_u11550))), 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), _u11548)), c_Int_Onat))))) )).
% 39.91/40.14 cnf(matrix-5164, 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(_u11551))), 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), _u11549)), c_Int_Onat))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11549)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11551))) )).
% 39.91/40.14 cnf(matrix-5165, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11554)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11556))) | 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(_u11556))), 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), _u11554)), c_Int_Onat))))) )).
% 39.91/40.14 cnf(matrix-5166, 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(_u11557))), 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), _u11555)), c_Int_Onat))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11555)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11557))) )).
% 39.91/40.14 cnf(matrix-5167, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11560)), hAPP(c_Nat_OSuc, _u11562))) | 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(_u11560))), 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)), _u11562)))) )).
% 39.91/40.14 cnf(matrix-5168, 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(_u11561))), 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)), _u11563)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11561)), hAPP(c_Nat_OSuc, _u11563))) )).
% 39.91/40.14 cnf(matrix-5169, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11564)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11565)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u11565))), 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, _u11564))), 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), _u11564)), c_Int_Onat))))) )).
% 39.91/40.14 cnf(matrix-5170, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11566)), hAPP(c_Nat_OSuc, _u11567)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u11566))), 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, _u11567))), 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)), _u11567))))) )).
% 39.91/40.14 cnf(matrix-5171, plain, ( ( c_Nat_Onat_Onat__case(_u11568, _u11569, _u11570, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11571)), _u11572)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u11568), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u11571))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u11568, _u11568), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u11568, tc_fun(_u11568, _u11568)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u11568, tc_fun(_u11568, _u11568)), tc_Int_Oint), c_If(_u11568)), c_Nat__Numeral_Oneg)), c_Nat_Onat_Onat__case(_u11568, _u11569, _u11570, _u11572))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u11568, tc_Int_Oint), _u11570), 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)), _u11572))))) )).
% 39.91/40.14 cnf(matrix-5172, plain, ( ( c_Nat_Onat_Onat__case(_u11573, _u11574, _u11575, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11576)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u11573), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u11576))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u11573, _u11573), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u11573, tc_fun(_u11573, _u11573)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u11573, tc_fun(_u11573, _u11573)), tc_Int_Oint), c_If(_u11573)), c_Nat__Numeral_Oneg)), _u11574)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u11573, tc_Int_Oint), _u11575), c_Int_Onat)))) )).
% 39.91/40.14 cnf(matrix-5173, plain, ( ( hAPP(c_Nat_Onat_Onat__rec(_u11577, _u11578, _u11579), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11580)), _u11581)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u11577), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u11580))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u11577, _u11577), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u11577, tc_fun(_u11577, _u11577)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u11577, tc_fun(_u11577, _u11577)), tc_Int_Oint), c_If(_u11577)), c_Nat__Numeral_Oneg)), hAPP(c_Nat_Onat_Onat__rec(_u11577, _u11578, _u11579), _u11581))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u11577, _u11577), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u11577, _u11577), tc_Int_Oint), _u11579), 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)), _u11581))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u11577, tc_Int_Oint), c_Nat_Onat_Onat__rec(_u11577, _u11578, _u11579)), 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)), _u11581)))))) )).
% 39.91/40.14 cnf(matrix-5174, plain, ( ( hAPP(c_Nat_Onat_Onat__rec(_u11582, _u11583, _u11584), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u11583) )).
% 39.91/40.14 cnf(matrix-5175, plain, ( ( hAPP(c_Nat_Onat_Onat__rec(_u11585, _u11586, _u11587), hAPP(c_Nat_OSuc, _u11588)) = hAPP(hAPP(_u11587, _u11588), hAPP(c_Nat_Onat_Onat__rec(_u11585, _u11586, _u11587), _u11588))) )).
% 39.91/40.14 cnf(matrix-5176, plain, ( ( c_Nat_Onat_Onat__case(_u11589, _u11590, _u11591, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u11590) )).
% 39.91/40.14 cnf(matrix-5177, plain, ( ( c_Nat_Onat_Onat__case(_u11592, _u11593, _u11594, hAPP(c_Nat_OSuc, _u11595)) = hAPP(_u11594, _u11595)) )).
% 39.91/40.14 cnf(matrix-5178, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11596)), _u11597) = c_Nat_Onat_Onat__case(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u11596), 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), _u11596)), _u11597)) )).
% 39.91/40.14 cnf(matrix-5179, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u11598), hAPP(c_Nat_OSuc, _u11599)) = c_Nat_Onat_Onat__case(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u11599), 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)), _u11599)), _u11598)) )).
% 39.91/40.14 cnf(matrix-5180, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11602)), _u11604)) | hBOOL(c_Nat_Onat_Onat__case(tc_HOL_Obool, c_fFalse, hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11602), _u11604)) )).
% 39.91/40.14 cnf(matrix-5181, plain, ( ~hBOOL(c_Nat_Onat_Onat__case(tc_HOL_Obool, c_fFalse, hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11603), _u11605)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11603)), _u11605)) )).
% 39.91/40.14 cnf(matrix-5182, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u11606), hAPP(c_Nat_OSuc, _u11607)) = 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), _u11606), _u11607))) )).
% 39.91/40.14 cnf(matrix-5183, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11608)), _u11609) = 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), _u11608)), _u11609)) )).
% 39.91/40.14 cnf(matrix-5184, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u11610), hAPP(c_Nat_OSuc, _u11611)) = 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)), _u11611)), _u11610)) )).
% 39.91/40.14 cnf(matrix-5185, plain, ( ( hAPP(c_Nat_Onat_Onat__rec(_u11612, _u11613, _u11614), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11615)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u11612), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u11615))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u11612, _u11612), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u11612, tc_fun(_u11612, _u11612)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u11612, tc_fun(_u11612, _u11612)), tc_Int_Oint), c_If(_u11612)), c_Nat__Numeral_Oneg)), _u11613)), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u11612, _u11612), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u11612, _u11612), tc_Int_Oint), _u11614), c_Int_Onat)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u11612, tc_Int_Oint), c_Nat_Onat_Onat__rec(_u11612, _u11613, _u11614)), c_Int_Onat))))) )).
% 39.91/40.14 cnf(matrix-5186, plain, ( ~c_Nat__Transfer_Ois__nat(_u11616) | ~c_Nat__Transfer_Onat__set(_u11617) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u11616), _u11617)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), hAPP(c_Int_Onat, _u11616)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u11617))) )).
% 39.91/40.14 cnf(matrix-5187, plain, ( ~c_Nat__Transfer_Ois__nat(_u11616) | ~c_Nat__Transfer_Onat__set(_u11617) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), hAPP(c_Int_Onat, _u11616)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u11617))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u11616), _u11617)) )).
% 39.91/40.14 cnf(matrix-5188, plain, ( ( c_Smallcheck_Ofull__small__class_Ofull__small(tc_Int_Oint, _u11618, _u11619) = c_Smallcheck_Ofull__small_H(_u11618, hAPP(c_Code__Numeral_Oint__of, _u11619), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Code__Numeral_Oint__of, _u11619)))) )).
% 39.91/40.14 cnf(matrix-5189, plain, ( ~class_Groups_Ocomm__monoid__mult(_u11621) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11622), _u11623)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11622), _u11624)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11622, _u11621), _u11625), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11622, tc_HOL_Obool)), _u11623), _u11624)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11621), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11622, _u11621), _u11625), _u11623)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11622, _u11621), _u11625), _u11624))) | hBOOL(hAPP(hAPP(c_member(_u11622), skolem216(_u11625, _u11624, _u11623, _u11622, _u11621)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11622, tc_HOL_Obool)), _u11623), _u11624))) )).
% 39.91/40.14 cnf(matrix-5190, plain, ( ~class_Groups_Ocomm__monoid__mult(_u11621) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11622), _u11623)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11622), _u11624)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11622, _u11621), _u11625), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11622, tc_HOL_Obool)), _u11623), _u11624)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11621), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11622, _u11621), _u11625), _u11623)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11622, _u11621), _u11625), _u11624))) | ( hAPP(_u11625, skolem216(_u11625, _u11624, _u11623, _u11622, _u11621)) != c_Groups_Oone__class_Oone(_u11621)) )).
% 39.91/40.14 cnf(matrix-5191, plain, ( c_Nat__Transfer_Ois__nat(c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 39.91/40.14 cnf(matrix-5192, plain, ( ~c_Nat__Transfer_Ois__nat(_u11626) | ~c_Nat__Transfer_Ois__nat(_u11627) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11626), _u11627)) )).
% 39.91/40.14 cnf(matrix-5193, plain, ( ~c_Nat__Transfer_Ois__nat(_u11628) | ~c_Nat__Transfer_Ois__nat(_u11629) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u11628), _u11629)) )).
% 39.91/40.14 cnf(matrix-5194, plain, ( c_Nat__Transfer_Ois__nat(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u11630)) )).
% 39.91/40.14 cnf(matrix-5195, plain, ( ~c_Nat__Transfer_Ois__nat(_u11631) | ~c_Nat__Transfer_Ois__nat(_u11632) | c_Nat__Transfer_Ois__nat(c_Divides_Odiv__class_Omod(tc_Int_Oint, _u11631, _u11632)) )).
% 39.91/40.14 cnf(matrix-5196, plain, ( ~c_Nat__Transfer_Ois__nat(_u11633) | ~c_Nat__Transfer_Ois__nat(_u11634) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u11633), _u11634)) )).
% 39.91/40.14 cnf(matrix-5197, plain, ( c_Nat__Transfer_Ois__nat(c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 39.91/40.14 cnf(matrix-5198, plain, ( ~c_Nat__Transfer_Ois__nat(_u11635) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u11635), _u11636)) )).
% 39.91/40.14 cnf(matrix-5199, plain, ( ~c_Nat__Transfer_Ois__nat(_u11637) | ~c_Nat__Transfer_Ois__nat(_u11638) | c_Nat__Transfer_Ois__nat(c_Nat__Transfer_Otsub(_u11637, _u11638)) )).
% 39.91/40.14 cnf(matrix-5200, plain, ( ~c_Nat__Transfer_Ois__nat(_u11640) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11640)) )).
% 39.91/40.14 cnf(matrix-5201, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11641)) | c_Nat__Transfer_Ois__nat(_u11641) )).
% 39.91/40.14 cnf(matrix-5202, plain, ( ~c_Nat__Transfer_Onat__set(_u11642) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u11643), _u11642)) | c_Nat__Transfer_Ois__nat(_u11643) )).
% 39.91/40.14 cnf(matrix-5203, 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)))) )).
% 39.91/40.14 cnf(matrix-5204, 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)))) )).
% 39.91/40.14 cnf(matrix-5205, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11645, tc_Int_Oint), _u11647), _u11646) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11645, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u11645), c_Int_Onat), _u11647)), _u11646))) | hBOOL(hAPP(hAPP(c_member(_u11645), skolem217(_u11647, _u11646, _u11645)), _u11646)) )).
% 39.91/40.14 cnf(matrix-5206, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11645, tc_Int_Oint), _u11647), _u11646) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11645, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u11645), c_Int_Onat), _u11647)), _u11646))) | ~c_Nat__Transfer_Ois__nat(hAPP(_u11647, skolem217(_u11647, _u11646, _u11645))) )).
% 39.91/40.14 cnf(matrix-5207, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11649, tc_Int_Oint), _u11651), _u11650) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11649, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u11649), c_Int_Onat), _u11651)), _u11650))) | hBOOL(hAPP(hAPP(c_member(_u11649), skolem218(_u11651, _u11650, _u11649)), _u11650)) )).
% 39.91/40.14 cnf(matrix-5208, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11649, tc_Int_Oint), _u11651), _u11650) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11649, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u11649), c_Int_Onat), _u11651)), _u11650))) | ~c_Nat__Transfer_Ois__nat(hAPP(_u11651, skolem218(_u11651, _u11650, _u11649))) )).
% 39.91/40.14 cnf(matrix-5209, plain, ( ~class_Groups_Ocomm__monoid__mult(_u11653) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11654), _u11655)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11654), _u11656)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11654, _u11653), _u11657), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11654, tc_HOL_Obool)), _u11655), _u11656)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11653), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11654, _u11653), _u11657), _u11655)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11654, _u11653), _u11657), _u11656))) | hBOOL(hAPP(hAPP(c_member(_u11654), skolem219(_u11657, _u11656, _u11655, _u11654, _u11653)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11654, tc_HOL_Obool)), _u11655), _u11656))) )).
% 39.91/40.14 cnf(matrix-5210, plain, ( ~class_Groups_Ocomm__monoid__mult(_u11653) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11654), _u11655)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11654), _u11656)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11654, _u11653), _u11657), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11654, tc_HOL_Obool)), _u11655), _u11656)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11653), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11654, _u11653), _u11657), _u11655)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11654, _u11653), _u11657), _u11656))) | ( hAPP(_u11657, skolem219(_u11657, _u11656, _u11655, _u11654, _u11653)) != c_Groups_Oone__class_Oone(_u11653)) )).
% 39.91/40.14 cnf(matrix-5211, 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)) )).
% 39.91/40.14 cnf(matrix-5212, plain, ( ~class_Int_Onumber__ring(_u11658) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u11659)) | hBOOL(hAPP(hAPP(c_member(_u11658), hAPP(c_Int_Onumber__class_Onumber__of(_u11658), _u11659)), c_Nat_Osemiring__1__class_ONats(_u11658))) )).
% 39.91/40.14 cnf(matrix-5213, plain, ( ~class_Fields_Ofield(_u11660) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11661), _u11662)) | ( hAPP(_u11663, _u11664) = c_Groups_Ozero__class_Ozero(_u11660)) | ~hBOOL(hAPP(hAPP(c_member(_u11661), _u11664), _u11662)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11661, _u11660), _u11663), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11661, tc_HOL_Obool)), _u11662), hAPP(hAPP(c_Set_Oinsert(_u11661), _u11664), c_Orderings_Obot__class_Obot(tc_fun(_u11661, tc_HOL_Obool))))) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11660), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11661, _u11660), _u11663), _u11662)), hAPP(_u11663, _u11664))) )).
% 39.91/40.14 cnf(matrix-5214, plain, ( ~class_Fields_Ofield(_u11660) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11661), _u11662)) | ( hAPP(_u11663, _u11664) = c_Groups_Ozero__class_Ozero(_u11660)) | hBOOL(hAPP(hAPP(c_member(_u11661), _u11664), _u11662)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11661, _u11660), _u11663), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11661, tc_HOL_Obool)), _u11662), hAPP(hAPP(c_Set_Oinsert(_u11661), _u11664), c_Orderings_Obot__class_Obot(tc_fun(_u11661, tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11661, _u11660), _u11663), _u11662)) )).
% 39.91/40.14 cnf(matrix-5215, plain, ( ~class_Rings_Odivision__ring(_u11665) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11665), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11665), _u11666), _u11667)), _u11668) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11665), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11665), _u11666), _u11668)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11665), _u11667), _u11668))) )).
% 39.91/40.14 cnf(matrix-5216, plain, ( ~class_Rings_Odivision__ring(_u11669) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11669), _u11670), c_Groups_Oone__class_Oone(_u11669)) = _u11670) )).
% 39.91/40.14 cnf(matrix-5217, plain, ( ~class_Rings_Odivision__ring(_u11671) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u11671), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11671), _u11672), _u11673)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11671), hAPP(c_Groups_Ouminus__class_Ouminus(_u11671), _u11672)), _u11673)) )).
% 39.91/40.14 cnf(matrix-5218, plain, ( ~class_Rings_Odivision__ring(_u11674) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11674), _u11675), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11674), _u11676), _u11677)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11674), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11674), _u11675), _u11676)), _u11677)) )).
% 39.91/40.14 cnf(matrix-5219, plain, ( ~class_Rings_Odivision__ring(_u11678) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11678), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11678), _u11679), _u11680)), _u11681) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11678), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11678), _u11679), _u11681)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11678), _u11680), _u11681))) )).
% 39.91/40.14 cnf(matrix-5220, plain, ( ~class_Fields_Ofield__inverse__zero(_u11682) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11682), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11682), _u11683), _u11684)), _u11685) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11682), hAPP(hAPP(c_Power_Opower__class_Opower(_u11682), _u11683), _u11685)), hAPP(hAPP(c_Power_Opower__class_Opower(_u11682), _u11684), _u11685))) )).
% 39.91/40.14 cnf(matrix-5221, plain, ( ~class_Fields_Ofield(_u11686) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11686), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11687, _u11686), _u11688), _u11689)), _u11690) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11687, _u11686), hAPP(hAPP(c_COMBC(_u11687, _u11686, _u11686), hAPP(hAPP(c_COMBB(_u11686, tc_fun(_u11686, _u11686), _u11687), c_Rings_Oinverse__class_Odivide(_u11686)), _u11688)), _u11690)), _u11689)) )).
% 39.91/40.14 cnf(matrix-5222, plain, ( ~class_Rings_Odivision__ring(_u11691) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11691), c_Groups_Ozero__class_Ozero(_u11691)), _u11692) = c_Groups_Ozero__class_Ozero(_u11691)) )).
% 39.91/40.14 cnf(matrix-5223, plain, ( ~class_Rings_Odivision__ring__inverse__zero(_u11693) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11693), _u11694), c_Groups_Ozero__class_Ozero(_u11693)) = c_Groups_Ozero__class_Ozero(_u11693)) )).
% 39.91/40.14 cnf(matrix-5224, plain, ( ~class_Rings_Odivision__ring(_u11695) | ( _u11696 = c_Groups_Ozero__class_Ozero(_u11695)) | ( _u11697 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11695), _u11698), _u11696)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11695), _u11697), _u11696) = _u11698) )).
% 39.91/40.14 cnf(matrix-5225, plain, ( ~class_Rings_Odivision__ring(_u11695) | ( _u11696 = c_Groups_Ozero__class_Ozero(_u11695)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11695), _u11697), _u11696) != _u11698) | ( _u11697 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11695), _u11698), _u11696)) )).
% 39.91/40.14 cnf(matrix-5226, plain, ( ~class_Rings_Odivision__ring(_u11699) | ( _u11700 = c_Groups_Ozero__class_Ozero(_u11699)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11699), _u11701), _u11700) != _u11702) | ( _u11701 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11699), _u11702), _u11700)) )).
% 39.91/40.14 cnf(matrix-5227, plain, ( ~class_Rings_Odivision__ring(_u11699) | ( _u11700 = c_Groups_Ozero__class_Ozero(_u11699)) | ( _u11701 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11699), _u11702), _u11700)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11699), _u11701), _u11700) = _u11702) )).
% 39.91/40.14 cnf(matrix-5228, plain, ( ~class_Rings_Odivision__ring(_u11703) | ( _u11704 = c_Groups_Ozero__class_Ozero(_u11703)) | ( _u11705 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11703), _u11706), _u11704)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11703), _u11705), _u11704) = _u11706) )).
% 39.91/40.14 cnf(matrix-5229, plain, ( ~class_Rings_Odivision__ring(_u11707) | ( _u11708 = c_Groups_Ozero__class_Ozero(_u11707)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11707), _u11709), _u11708) != _u11710) | ( _u11709 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11707), _u11710), _u11708)) )).
% 39.91/40.14 cnf(matrix-5230, plain, ( ~class_Rings_Odivision__ring__inverse__zero(_u11711) | ( _u11712 != c_Groups_Ozero__class_Ozero(_u11711)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11711), _u11712), _u11712) = c_Groups_Ozero__class_Ozero(_u11711)) )).
% 39.91/40.14 cnf(matrix-5231, plain, ( ~class_Rings_Odivision__ring__inverse__zero(_u11711) | ( _u11712 = c_Groups_Ozero__class_Ozero(_u11711)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11711), _u11712), _u11712) = c_Groups_Oone__class_Oone(_u11711)) )).
% 39.91/40.14 cnf(matrix-5232, plain, ( ~class_Rings_Odivision__ring(_u11713) | ( _u11714 = c_Groups_Ozero__class_Ozero(_u11713)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11713), _u11714), _u11714) = c_Groups_Oone__class_Oone(_u11713)) )).
% 39.91/40.14 cnf(matrix-5233, plain, ( ~class_Rings_Odivision__ring(_u11715) | ( _u11716 = c_Groups_Ozero__class_Ozero(_u11715)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11715), _u11717), _u11716) != c_Groups_Oone__class_Oone(_u11715)) | ( _u11717 = _u11716) )).
% 39.91/40.14 cnf(matrix-5234, plain, ( ~class_Rings_Odivision__ring(_u11715) | ( _u11716 = c_Groups_Ozero__class_Ozero(_u11715)) | ( _u11717 != _u11716) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11715), _u11717), _u11716) = c_Groups_Oone__class_Oone(_u11715)) )).
% 39.91/40.14 cnf(matrix-5235, plain, ( ~class_Rings_Odivision__ring(_u11718) | ( _u11719 = c_Groups_Ozero__class_Ozero(_u11718)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11718), hAPP(c_Groups_Ouminus__class_Ouminus(_u11718), _u11720)), hAPP(c_Groups_Ouminus__class_Ouminus(_u11718), _u11719)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11718), _u11720), _u11719)) )).
% 39.91/40.14 cnf(matrix-5236, plain, ( ~class_Rings_Odivision__ring(_u11721) | ( _u11722 = c_Groups_Ozero__class_Ozero(_u11721)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u11721), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11721), _u11723), _u11722)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11721), _u11723), hAPP(c_Groups_Ouminus__class_Ouminus(_u11721), _u11722))) )).
% 39.91/40.14 cnf(matrix-5237, plain, ( ~class_Fields_Ofield(_u11724) | ( _u11725 = c_Groups_Ozero__class_Ozero(_u11724)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11724), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11724), _u11726), _u11725)), _u11727) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11724), hAPP(hAPP(c_Power_Opower__class_Opower(_u11724), _u11726), _u11727)), hAPP(hAPP(c_Power_Opower__class_Opower(_u11724), _u11725), _u11727))) )).
% 39.91/40.14 cnf(matrix-5238, plain, ( ~class_Fields_Ofield__inverse__zero(_u11728) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11728), c_Groups_Oone__class_Oone(_u11728)), hAPP(hAPP(c_Power_Opower__class_Opower(_u11728), _u11729), _u11730)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u11728), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11728), c_Groups_Oone__class_Oone(_u11728)), _u11729)), _u11730)) )).
% 39.91/40.14 cnf(matrix-5239, plain, ( ~class_Fields_Ofield__inverse__zero(_u11731) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11732), _u11733)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11732, _u11731), hAPP(hAPP(c_COMBS(_u11732, _u11731, _u11731), hAPP(hAPP(c_COMBB(_u11731, tc_fun(_u11731, _u11731), _u11732), c_Rings_Oinverse__class_Odivide(_u11731)), _u11734)), _u11735)), _u11733) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11731), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11732, _u11731), _u11734), _u11733)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u11732, _u11731), _u11735), _u11733))) )).
% 39.91/40.14 cnf(matrix-5240, plain, ( ~class_Fields_Ofield__inverse__zero(_u11736) | ~class_Int_Onumber(_u11736) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11736), _u11737), hAPP(c_Int_Onumber__class_Onumber__of(_u11736), _u11738)) != _u11739) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u11736), _u11738) = c_Groups_Ozero__class_Ozero(_u11736)) | ( _u11737 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11736), _u11739), hAPP(c_Int_Onumber__class_Onumber__of(_u11736), _u11738))) )).
% 39.91/40.14 cnf(matrix-5241, plain, ( ~class_Fields_Ofield__inverse__zero(_u11736) | ~class_Int_Onumber(_u11736) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11736), _u11737), hAPP(c_Int_Onumber__class_Onumber__of(_u11736), _u11738)) != _u11739) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u11736), _u11738) != c_Groups_Ozero__class_Ozero(_u11736)) | ( _u11739 = c_Groups_Ozero__class_Ozero(_u11736)) )).
% 39.91/40.14 cnf(matrix-5242, plain, ( ~class_Fields_Ofield__inverse__zero(_u11736) | ~class_Int_Onumber(_u11736) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11736), _u11737), hAPP(c_Int_Onumber__class_Onumber__of(_u11736), _u11738)) = _u11739) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u11736), _u11738) != c_Groups_Ozero__class_Ozero(_u11736)) | ( _u11739 != c_Groups_Ozero__class_Ozero(_u11736)) )).
% 39.91/40.14 cnf(matrix-5243, plain, ( ~class_Fields_Ofield__inverse__zero(_u11736) | ~class_Int_Onumber(_u11736) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11736), _u11737), hAPP(c_Int_Onumber__class_Onumber__of(_u11736), _u11738)) = _u11739) | ( _u11737 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11736), _u11739), hAPP(c_Int_Onumber__class_Onumber__of(_u11736), _u11738))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u11736), _u11738) = c_Groups_Ozero__class_Ozero(_u11736)) )).
% 39.91/40.14 cnf(matrix-5244, plain, ( ~class_Fields_Ofield__inverse__zero(_u11736) | ~class_Int_Onumber(_u11736) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11736), _u11737), hAPP(c_Int_Onumber__class_Onumber__of(_u11736), _u11738)) = _u11739) | ( _u11737 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11736), _u11739), hAPP(c_Int_Onumber__class_Onumber__of(_u11736), _u11738))) | ( _u11739 != c_Groups_Ozero__class_Ozero(_u11736)) )).
% 39.91/40.14 cnf(matrix-5245, plain, ( ~class_Fields_Ofield__inverse__zero(_u11740) | ~class_Int_Onumber(_u11740) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11740), _u11741), _u11742) != hAPP(c_Int_Onumber__class_Onumber__of(_u11740), _u11743)) | ( _u11742 = c_Groups_Ozero__class_Ozero(_u11740)) | ( _u11741 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11740), hAPP(c_Int_Onumber__class_Onumber__of(_u11740), _u11743)), _u11742)) )).
% 39.91/40.14 cnf(matrix-5246, plain, ( ~class_Fields_Ofield__inverse__zero(_u11740) | ~class_Int_Onumber(_u11740) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11740), _u11741), _u11742) != hAPP(c_Int_Onumber__class_Onumber__of(_u11740), _u11743)) | ( _u11742 != c_Groups_Ozero__class_Ozero(_u11740)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u11740), _u11743) = c_Groups_Ozero__class_Ozero(_u11740)) )).
% 39.91/40.14 cnf(matrix-5247, plain, ( ~class_Fields_Ofield__inverse__zero(_u11740) | ~class_Int_Onumber(_u11740) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11740), _u11741), _u11742) = hAPP(c_Int_Onumber__class_Onumber__of(_u11740), _u11743)) | ( _u11742 != c_Groups_Ozero__class_Ozero(_u11740)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u11740), _u11743) != c_Groups_Ozero__class_Ozero(_u11740)) )).
% 39.91/40.14 cnf(matrix-5248, plain, ( ~class_Fields_Ofield__inverse__zero(_u11740) | ~class_Int_Onumber(_u11740) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11740), _u11741), _u11742) = hAPP(c_Int_Onumber__class_Onumber__of(_u11740), _u11743)) | ( _u11741 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11740), hAPP(c_Int_Onumber__class_Onumber__of(_u11740), _u11743)), _u11742)) | ( _u11742 = c_Groups_Ozero__class_Ozero(_u11740)) )).
% 39.91/40.14 cnf(matrix-5249, plain, ( ~class_Fields_Ofield__inverse__zero(_u11740) | ~class_Int_Onumber(_u11740) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11740), _u11741), _u11742) = hAPP(c_Int_Onumber__class_Onumber__of(_u11740), _u11743)) | ( _u11741 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11740), hAPP(c_Int_Onumber__class_Onumber__of(_u11740), _u11743)), _u11742)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u11740), _u11743) != c_Groups_Ozero__class_Ozero(_u11740)) )).
% 39.91/40.14 cnf(matrix-5250, plain, ( ~class_Fields_Ofield__inverse__zero(_u11744) | ~class_Int_Onumber(_u11744) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u11744), _u11745) != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11744), _u11746), _u11747)) | ( _u11747 = c_Groups_Ozero__class_Ozero(_u11744)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11744), hAPP(c_Int_Onumber__class_Onumber__of(_u11744), _u11745)), _u11747) = _u11746) )).
% 39.91/40.14 cnf(matrix-5251, plain, ( ~class_Fields_Ofield__inverse__zero(_u11744) | ~class_Int_Onumber(_u11744) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u11744), _u11745) != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11744), _u11746), _u11747)) | ( _u11747 != c_Groups_Ozero__class_Ozero(_u11744)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u11744), _u11745) = c_Groups_Ozero__class_Ozero(_u11744)) )).
% 39.91/40.14 cnf(matrix-5252, plain, ( ~class_Fields_Ofield__inverse__zero(_u11744) | ~class_Int_Onumber(_u11744) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u11744), _u11745) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11744), _u11746), _u11747)) | ( _u11747 != c_Groups_Ozero__class_Ozero(_u11744)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u11744), _u11745) != c_Groups_Ozero__class_Ozero(_u11744)) )).
% 39.91/40.14 cnf(matrix-5253, plain, ( ~class_Fields_Ofield__inverse__zero(_u11744) | ~class_Int_Onumber(_u11744) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u11744), _u11745) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11744), _u11746), _u11747)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11744), hAPP(c_Int_Onumber__class_Onumber__of(_u11744), _u11745)), _u11747) != _u11746) | ( _u11747 = c_Groups_Ozero__class_Ozero(_u11744)) )).
% 39.91/40.14 cnf(matrix-5254, plain, ( ~class_Fields_Ofield__inverse__zero(_u11744) | ~class_Int_Onumber(_u11744) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u11744), _u11745) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11744), _u11746), _u11747)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11744), hAPP(c_Int_Onumber__class_Onumber__of(_u11744), _u11745)), _u11747) != _u11746) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u11744), _u11745) != c_Groups_Ozero__class_Ozero(_u11744)) )).
% 39.91/40.14 cnf(matrix-5255, plain, ( ~class_Fields_Ofield__inverse__zero(_u11748) | ~class_Int_Onumber(_u11748) | ( _u11749 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11748), _u11750), hAPP(c_Int_Onumber__class_Onumber__of(_u11748), _u11751))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u11748), _u11751) = c_Groups_Ozero__class_Ozero(_u11748)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11748), _u11749), hAPP(c_Int_Onumber__class_Onumber__of(_u11748), _u11751)) = _u11750) )).
% 39.91/40.14 cnf(matrix-5256, plain, ( ~class_Fields_Ofield__inverse__zero(_u11748) | ~class_Int_Onumber(_u11748) | ( _u11749 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11748), _u11750), hAPP(c_Int_Onumber__class_Onumber__of(_u11748), _u11751))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u11748), _u11751) != c_Groups_Ozero__class_Ozero(_u11748)) | ( _u11749 = c_Groups_Ozero__class_Ozero(_u11748)) )).
% 39.91/40.14 cnf(matrix-5257, plain, ( ~class_Fields_Ofield__inverse__zero(_u11748) | ~class_Int_Onumber(_u11748) | ( _u11749 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11748), _u11750), hAPP(c_Int_Onumber__class_Onumber__of(_u11748), _u11751))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u11748), _u11751) != c_Groups_Ozero__class_Ozero(_u11748)) | ( _u11749 != c_Groups_Ozero__class_Ozero(_u11748)) )).
% 39.91/40.14 cnf(matrix-5258, plain, ( ~class_Fields_Ofield__inverse__zero(_u11748) | ~class_Int_Onumber(_u11748) | ( _u11749 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11748), _u11750), hAPP(c_Int_Onumber__class_Onumber__of(_u11748), _u11751))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11748), _u11749), hAPP(c_Int_Onumber__class_Onumber__of(_u11748), _u11751)) != _u11750) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u11748), _u11751) = c_Groups_Ozero__class_Ozero(_u11748)) )).
% 39.91/40.14 cnf(matrix-5259, plain, ( ~class_Fields_Ofield__inverse__zero(_u11748) | ~class_Int_Onumber(_u11748) | ( _u11749 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11748), _u11750), hAPP(c_Int_Onumber__class_Onumber__of(_u11748), _u11751))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11748), _u11749), hAPP(c_Int_Onumber__class_Onumber__of(_u11748), _u11751)) != _u11750) | ( _u11749 != c_Groups_Ozero__class_Ozero(_u11748)) )).
% 39.91/40.14 cnf(matrix-5260, plain, ( ~class_Fields_Ofield__inverse__zero(_u11752) | ~class_Int_Onumber__ring(_u11752) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11752), _u11753), hAPP(c_Int_Onumber__class_Onumber__of(_u11752), c_Int_OPls)) = c_Groups_Ozero__class_Ozero(_u11752)) )).
% 39.91/40.14 cnf(matrix-5261, plain, ( ~class_Fields_Ofield(_u11754) | ~class_Int_Onumber__ring(_u11754) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11754), _u11755), hAPP(c_Int_Onumber__class_Onumber__of(_u11754), c_Int_OBit1(c_Int_OPls))) = _u11755) )).
% 39.91/40.14 cnf(matrix-5262, plain, ( ~class_Fields_Ofield(_u11756) | ~class_Int_Onumber__ring(_u11756) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11756), _u11757), hAPP(c_Int_Onumber__class_Onumber__of(_u11756), c_Int_OBit1(c_Int_OPls))) = _u11757) )).
% 39.91/40.14 cnf(matrix-5263, plain, ( ~class_Fields_Ofield__inverse__zero(_u11758) | ~class_Int_Onumber__ring(_u11758) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11758), _u11759), hAPP(c_Int_Onumber__class_Onumber__of(_u11758), c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u11758), _u11759)) )).
% 39.91/40.14 cnf(matrix-5264, plain, ( ~class_Rings_Osemiring__1(_u11760) | hBOOL(hAPP(hAPP(c_member(_u11760), c_Groups_Ozero__class_Ozero(_u11760)), c_Nat_Osemiring__1__class_ONats(_u11760))) )).
% 39.91/40.14 cnf(matrix-5265, plain, ( ~class_Rings_Osemiring__1(_u11761) | ~hBOOL(hAPP(hAPP(c_member(_u11761), _u11762), c_Nat_Osemiring__1__class_ONats(_u11761))) | ~hBOOL(hAPP(hAPP(c_member(_u11761), _u11763), c_Nat_Osemiring__1__class_ONats(_u11761))) | hBOOL(hAPP(hAPP(c_member(_u11761), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11761), _u11762), _u11763)), c_Nat_Osemiring__1__class_ONats(_u11761))) )).
% 39.91/40.14 cnf(matrix-5266, plain, ( ~class_Rings_Osemiring__1(_u11764) | ~hBOOL(hAPP(hAPP(c_member(_u11764), _u11765), c_Nat_Osemiring__1__class_ONats(_u11764))) | ~hBOOL(hAPP(hAPP(c_member(_u11764), _u11766), c_Nat_Osemiring__1__class_ONats(_u11764))) | hBOOL(hAPP(hAPP(c_member(_u11764), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11764), _u11765), _u11766)), c_Nat_Osemiring__1__class_ONats(_u11764))) )).
% 39.91/40.14 cnf(matrix-5267, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11767) | ~class_Int_Onumber(_u11767) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11767), _u11768), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11767), _u11769), hAPP(c_Int_Onumber__class_Onumber__of(_u11767), _u11770)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11767), c_Groups_Ozero__class_Ozero(_u11767)), hAPP(c_Int_Onumber__class_Onumber__of(_u11767), _u11770))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11767), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11767), _u11768), hAPP(c_Int_Onumber__class_Onumber__of(_u11767), _u11770))), _u11769)) )).
% 39.91/40.14 cnf(matrix-5268, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11767) | ~class_Int_Onumber(_u11767) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11767), _u11768), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11767), _u11769), hAPP(c_Int_Onumber__class_Onumber__of(_u11767), _u11770)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11767), c_Groups_Ozero__class_Ozero(_u11767)), hAPP(c_Int_Onumber__class_Onumber__of(_u11767), _u11770))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11767), hAPP(c_Int_Onumber__class_Onumber__of(_u11767), _u11770)), c_Groups_Ozero__class_Ozero(_u11767))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11767), _u11769), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11767), _u11768), hAPP(c_Int_Onumber__class_Onumber__of(_u11767), _u11770)))) )).
% 39.91/40.14 cnf(matrix-5269, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11767) | ~class_Int_Onumber(_u11767) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11767), _u11768), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11767), _u11769), hAPP(c_Int_Onumber__class_Onumber__of(_u11767), _u11770)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11767), c_Groups_Ozero__class_Ozero(_u11767)), hAPP(c_Int_Onumber__class_Onumber__of(_u11767), _u11770))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11767), hAPP(c_Int_Onumber__class_Onumber__of(_u11767), _u11770)), c_Groups_Ozero__class_Ozero(_u11767))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11767), _u11768), c_Groups_Ozero__class_Ozero(_u11767))) )).
% 39.91/40.14 cnf(matrix-5270, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11767) | ~class_Int_Onumber(_u11767) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11767), _u11768), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11767), _u11769), hAPP(c_Int_Onumber__class_Onumber__of(_u11767), _u11770)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11767), c_Groups_Ozero__class_Ozero(_u11767)), hAPP(c_Int_Onumber__class_Onumber__of(_u11767), _u11770))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11767), hAPP(c_Int_Onumber__class_Onumber__of(_u11767), _u11770)), c_Groups_Ozero__class_Ozero(_u11767))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11767), _u11768), c_Groups_Ozero__class_Ozero(_u11767))) )).
% 39.91/40.14 cnf(matrix-5271, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11767) | ~class_Int_Onumber(_u11767) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11767), _u11768), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11767), _u11769), hAPP(c_Int_Onumber__class_Onumber__of(_u11767), _u11770)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11767), c_Groups_Ozero__class_Ozero(_u11767)), hAPP(c_Int_Onumber__class_Onumber__of(_u11767), _u11770))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11767), _u11769), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11767), _u11768), hAPP(c_Int_Onumber__class_Onumber__of(_u11767), _u11770)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11767), hAPP(c_Int_Onumber__class_Onumber__of(_u11767), _u11770)), c_Groups_Ozero__class_Ozero(_u11767))) )).
% 39.91/40.14 cnf(matrix-5272, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11767) | ~class_Int_Onumber(_u11767) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11767), _u11768), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11767), _u11769), hAPP(c_Int_Onumber__class_Onumber__of(_u11767), _u11770)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11767), c_Groups_Ozero__class_Ozero(_u11767)), hAPP(c_Int_Onumber__class_Onumber__of(_u11767), _u11770))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11767), _u11769), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11767), _u11768), hAPP(c_Int_Onumber__class_Onumber__of(_u11767), _u11770)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11767), _u11768), c_Groups_Ozero__class_Ozero(_u11767))) )).
% 39.91/40.14 cnf(matrix-5273, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11767) | ~class_Int_Onumber(_u11767) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11767), _u11768), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11767), _u11769), hAPP(c_Int_Onumber__class_Onumber__of(_u11767), _u11770)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11767), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11767), _u11768), hAPP(c_Int_Onumber__class_Onumber__of(_u11767), _u11770))), _u11769)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11767), c_Groups_Ozero__class_Ozero(_u11767)), hAPP(c_Int_Onumber__class_Onumber__of(_u11767), _u11770))) )).
% 39.91/40.14 cnf(matrix-5274, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11767) | ~class_Int_Onumber(_u11767) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11767), _u11768), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11767), _u11769), hAPP(c_Int_Onumber__class_Onumber__of(_u11767), _u11770)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11767), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11767), _u11768), hAPP(c_Int_Onumber__class_Onumber__of(_u11767), _u11770))), _u11769)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11767), hAPP(c_Int_Onumber__class_Onumber__of(_u11767), _u11770)), c_Groups_Ozero__class_Ozero(_u11767))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11767), _u11768), c_Groups_Ozero__class_Ozero(_u11767))) )).
% 39.91/40.14 cnf(matrix-5275, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11767) | ~class_Int_Onumber(_u11767) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11767), _u11768), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11767), _u11769), hAPP(c_Int_Onumber__class_Onumber__of(_u11767), _u11770)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11767), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11767), _u11768), hAPP(c_Int_Onumber__class_Onumber__of(_u11767), _u11770))), _u11769)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11767), _u11769), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11767), _u11768), hAPP(c_Int_Onumber__class_Onumber__of(_u11767), _u11770)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11767), hAPP(c_Int_Onumber__class_Onumber__of(_u11767), _u11770)), c_Groups_Ozero__class_Ozero(_u11767))) )).
% 39.91/40.14 cnf(matrix-5276, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11767) | ~class_Int_Onumber(_u11767) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11767), _u11768), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11767), _u11769), hAPP(c_Int_Onumber__class_Onumber__of(_u11767), _u11770)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11767), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11767), _u11768), hAPP(c_Int_Onumber__class_Onumber__of(_u11767), _u11770))), _u11769)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11767), _u11769), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11767), _u11768), hAPP(c_Int_Onumber__class_Onumber__of(_u11767), _u11770)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11767), _u11768), c_Groups_Ozero__class_Ozero(_u11767))) )).
% 39.91/40.14 cnf(matrix-5277, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11771) | ~class_Int_Onumber(_u11771) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11771), hAPP(c_Int_Onumber__class_Onumber__of(_u11771), _u11772)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11771), _u11773), _u11774))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11771), c_Groups_Ozero__class_Ozero(_u11771)), _u11774)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11771), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11771), hAPP(c_Int_Onumber__class_Onumber__of(_u11771), _u11772)), _u11774)), _u11773)) )).
% 39.91/40.14 cnf(matrix-5278, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11771) | ~class_Int_Onumber(_u11771) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11771), hAPP(c_Int_Onumber__class_Onumber__of(_u11771), _u11772)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11771), _u11773), _u11774))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11771), c_Groups_Ozero__class_Ozero(_u11771)), _u11774)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11771), _u11774), c_Groups_Ozero__class_Ozero(_u11771))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11771), _u11773), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11771), hAPP(c_Int_Onumber__class_Onumber__of(_u11771), _u11772)), _u11774))) )).
% 39.91/40.14 cnf(matrix-5279, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11771) | ~class_Int_Onumber(_u11771) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11771), hAPP(c_Int_Onumber__class_Onumber__of(_u11771), _u11772)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11771), _u11773), _u11774))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11771), c_Groups_Ozero__class_Ozero(_u11771)), _u11774)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11771), _u11774), c_Groups_Ozero__class_Ozero(_u11771))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11771), hAPP(c_Int_Onumber__class_Onumber__of(_u11771), _u11772)), c_Groups_Ozero__class_Ozero(_u11771))) )).
% 39.91/40.14 cnf(matrix-5280, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11771) | ~class_Int_Onumber(_u11771) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11771), hAPP(c_Int_Onumber__class_Onumber__of(_u11771), _u11772)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11771), _u11773), _u11774))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11771), c_Groups_Ozero__class_Ozero(_u11771)), _u11774)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11771), _u11774), c_Groups_Ozero__class_Ozero(_u11771))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11771), hAPP(c_Int_Onumber__class_Onumber__of(_u11771), _u11772)), c_Groups_Ozero__class_Ozero(_u11771))) )).
% 39.91/40.14 cnf(matrix-5281, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11771) | ~class_Int_Onumber(_u11771) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11771), hAPP(c_Int_Onumber__class_Onumber__of(_u11771), _u11772)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11771), _u11773), _u11774))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11771), c_Groups_Ozero__class_Ozero(_u11771)), _u11774)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11771), _u11773), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11771), hAPP(c_Int_Onumber__class_Onumber__of(_u11771), _u11772)), _u11774))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11771), _u11774), c_Groups_Ozero__class_Ozero(_u11771))) )).
% 39.91/40.14 cnf(matrix-5282, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11771) | ~class_Int_Onumber(_u11771) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11771), hAPP(c_Int_Onumber__class_Onumber__of(_u11771), _u11772)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11771), _u11773), _u11774))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11771), c_Groups_Ozero__class_Ozero(_u11771)), _u11774)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11771), _u11773), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11771), hAPP(c_Int_Onumber__class_Onumber__of(_u11771), _u11772)), _u11774))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11771), hAPP(c_Int_Onumber__class_Onumber__of(_u11771), _u11772)), c_Groups_Ozero__class_Ozero(_u11771))) )).
% 39.91/40.14 cnf(matrix-5283, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11771) | ~class_Int_Onumber(_u11771) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11771), hAPP(c_Int_Onumber__class_Onumber__of(_u11771), _u11772)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11771), _u11773), _u11774))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11771), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11771), hAPP(c_Int_Onumber__class_Onumber__of(_u11771), _u11772)), _u11774)), _u11773)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11771), c_Groups_Ozero__class_Ozero(_u11771)), _u11774)) )).
% 39.91/40.14 cnf(matrix-5284, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11771) | ~class_Int_Onumber(_u11771) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11771), hAPP(c_Int_Onumber__class_Onumber__of(_u11771), _u11772)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11771), _u11773), _u11774))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11771), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11771), hAPP(c_Int_Onumber__class_Onumber__of(_u11771), _u11772)), _u11774)), _u11773)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11771), _u11774), c_Groups_Ozero__class_Ozero(_u11771))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11771), hAPP(c_Int_Onumber__class_Onumber__of(_u11771), _u11772)), c_Groups_Ozero__class_Ozero(_u11771))) )).
% 39.91/40.14 cnf(matrix-5285, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11771) | ~class_Int_Onumber(_u11771) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11771), hAPP(c_Int_Onumber__class_Onumber__of(_u11771), _u11772)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11771), _u11773), _u11774))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11771), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11771), hAPP(c_Int_Onumber__class_Onumber__of(_u11771), _u11772)), _u11774)), _u11773)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11771), _u11773), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11771), hAPP(c_Int_Onumber__class_Onumber__of(_u11771), _u11772)), _u11774))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11771), _u11774), c_Groups_Ozero__class_Ozero(_u11771))) )).
% 39.91/40.14 cnf(matrix-5286, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11771) | ~class_Int_Onumber(_u11771) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11771), hAPP(c_Int_Onumber__class_Onumber__of(_u11771), _u11772)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11771), _u11773), _u11774))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11771), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11771), hAPP(c_Int_Onumber__class_Onumber__of(_u11771), _u11772)), _u11774)), _u11773)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11771), _u11773), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11771), hAPP(c_Int_Onumber__class_Onumber__of(_u11771), _u11772)), _u11774))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11771), hAPP(c_Int_Onumber__class_Onumber__of(_u11771), _u11772)), c_Groups_Ozero__class_Ozero(_u11771))) )).
% 39.91/40.14 cnf(matrix-5287, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11775) | ~class_Int_Onumber(_u11775) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11775), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11775), _u11776), _u11777)), hAPP(c_Int_Onumber__class_Onumber__of(_u11775), _u11778))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11775), c_Groups_Ozero__class_Ozero(_u11775)), _u11777)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11775), _u11776), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11775), hAPP(c_Int_Onumber__class_Onumber__of(_u11775), _u11778)), _u11777))) )).
% 39.91/40.14 cnf(matrix-5288, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11775) | ~class_Int_Onumber(_u11775) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11775), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11775), _u11776), _u11777)), hAPP(c_Int_Onumber__class_Onumber__of(_u11775), _u11778))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11775), c_Groups_Ozero__class_Ozero(_u11775)), _u11777)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11775), _u11777), c_Groups_Ozero__class_Ozero(_u11775))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11775), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11775), hAPP(c_Int_Onumber__class_Onumber__of(_u11775), _u11778)), _u11777)), _u11776)) )).
% 39.91/40.14 cnf(matrix-5289, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11775) | ~class_Int_Onumber(_u11775) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11775), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11775), _u11776), _u11777)), hAPP(c_Int_Onumber__class_Onumber__of(_u11775), _u11778))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11775), c_Groups_Ozero__class_Ozero(_u11775)), _u11777)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11775), _u11777), c_Groups_Ozero__class_Ozero(_u11775))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11775), c_Groups_Ozero__class_Ozero(_u11775)), hAPP(c_Int_Onumber__class_Onumber__of(_u11775), _u11778))) )).
% 39.91/40.14 cnf(matrix-5290, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11775) | ~class_Int_Onumber(_u11775) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11775), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11775), _u11776), _u11777)), hAPP(c_Int_Onumber__class_Onumber__of(_u11775), _u11778))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11775), c_Groups_Ozero__class_Ozero(_u11775)), _u11777)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11775), _u11777), c_Groups_Ozero__class_Ozero(_u11775))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11775), c_Groups_Ozero__class_Ozero(_u11775)), hAPP(c_Int_Onumber__class_Onumber__of(_u11775), _u11778))) )).
% 39.91/40.14 cnf(matrix-5291, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11775) | ~class_Int_Onumber(_u11775) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11775), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11775), _u11776), _u11777)), hAPP(c_Int_Onumber__class_Onumber__of(_u11775), _u11778))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11775), c_Groups_Ozero__class_Ozero(_u11775)), _u11777)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11775), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11775), hAPP(c_Int_Onumber__class_Onumber__of(_u11775), _u11778)), _u11777)), _u11776)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11775), _u11777), c_Groups_Ozero__class_Ozero(_u11775))) )).
% 39.91/40.14 cnf(matrix-5292, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11775) | ~class_Int_Onumber(_u11775) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11775), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11775), _u11776), _u11777)), hAPP(c_Int_Onumber__class_Onumber__of(_u11775), _u11778))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11775), c_Groups_Ozero__class_Ozero(_u11775)), _u11777)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11775), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11775), hAPP(c_Int_Onumber__class_Onumber__of(_u11775), _u11778)), _u11777)), _u11776)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11775), c_Groups_Ozero__class_Ozero(_u11775)), hAPP(c_Int_Onumber__class_Onumber__of(_u11775), _u11778))) )).
% 39.91/40.14 cnf(matrix-5293, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11775) | ~class_Int_Onumber(_u11775) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11775), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11775), _u11776), _u11777)), hAPP(c_Int_Onumber__class_Onumber__of(_u11775), _u11778))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11775), _u11776), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11775), hAPP(c_Int_Onumber__class_Onumber__of(_u11775), _u11778)), _u11777))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11775), c_Groups_Ozero__class_Ozero(_u11775)), _u11777)) )).
% 39.91/40.14 cnf(matrix-5294, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11775) | ~class_Int_Onumber(_u11775) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11775), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11775), _u11776), _u11777)), hAPP(c_Int_Onumber__class_Onumber__of(_u11775), _u11778))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11775), _u11776), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11775), hAPP(c_Int_Onumber__class_Onumber__of(_u11775), _u11778)), _u11777))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11775), _u11777), c_Groups_Ozero__class_Ozero(_u11775))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11775), c_Groups_Ozero__class_Ozero(_u11775)), hAPP(c_Int_Onumber__class_Onumber__of(_u11775), _u11778))) )).
% 39.91/40.14 cnf(matrix-5295, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11775) | ~class_Int_Onumber(_u11775) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11775), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11775), _u11776), _u11777)), hAPP(c_Int_Onumber__class_Onumber__of(_u11775), _u11778))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11775), _u11776), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11775), hAPP(c_Int_Onumber__class_Onumber__of(_u11775), _u11778)), _u11777))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11775), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11775), hAPP(c_Int_Onumber__class_Onumber__of(_u11775), _u11778)), _u11777)), _u11776)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11775), _u11777), c_Groups_Ozero__class_Ozero(_u11775))) )).
% 39.91/40.14 cnf(matrix-5296, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11775) | ~class_Int_Onumber(_u11775) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11775), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11775), _u11776), _u11777)), hAPP(c_Int_Onumber__class_Onumber__of(_u11775), _u11778))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11775), _u11776), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11775), hAPP(c_Int_Onumber__class_Onumber__of(_u11775), _u11778)), _u11777))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11775), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11775), hAPP(c_Int_Onumber__class_Onumber__of(_u11775), _u11778)), _u11777)), _u11776)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11775), c_Groups_Ozero__class_Ozero(_u11775)), hAPP(c_Int_Onumber__class_Onumber__of(_u11775), _u11778))) )).
% 39.91/40.14 cnf(matrix-5297, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11779) | ~class_Int_Onumber(_u11779) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11779), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11779), _u11780), hAPP(c_Int_Onumber__class_Onumber__of(_u11779), _u11781))), _u11782)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11779), c_Groups_Ozero__class_Ozero(_u11779)), hAPP(c_Int_Onumber__class_Onumber__of(_u11779), _u11781))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11779), _u11780), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11779), _u11782), hAPP(c_Int_Onumber__class_Onumber__of(_u11779), _u11781)))) )).
% 39.91/40.14 cnf(matrix-5298, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11779) | ~class_Int_Onumber(_u11779) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11779), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11779), _u11780), hAPP(c_Int_Onumber__class_Onumber__of(_u11779), _u11781))), _u11782)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11779), c_Groups_Ozero__class_Ozero(_u11779)), hAPP(c_Int_Onumber__class_Onumber__of(_u11779), _u11781))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11779), hAPP(c_Int_Onumber__class_Onumber__of(_u11779), _u11781)), c_Groups_Ozero__class_Ozero(_u11779))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11779), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11779), _u11782), hAPP(c_Int_Onumber__class_Onumber__of(_u11779), _u11781))), _u11780)) )).
% 39.91/40.14 cnf(matrix-5299, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11779) | ~class_Int_Onumber(_u11779) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11779), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11779), _u11780), hAPP(c_Int_Onumber__class_Onumber__of(_u11779), _u11781))), _u11782)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11779), c_Groups_Ozero__class_Ozero(_u11779)), hAPP(c_Int_Onumber__class_Onumber__of(_u11779), _u11781))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11779), hAPP(c_Int_Onumber__class_Onumber__of(_u11779), _u11781)), c_Groups_Ozero__class_Ozero(_u11779))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11779), c_Groups_Ozero__class_Ozero(_u11779)), _u11782)) )).
% 39.91/40.14 cnf(matrix-5300, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11779) | ~class_Int_Onumber(_u11779) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11779), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11779), _u11780), hAPP(c_Int_Onumber__class_Onumber__of(_u11779), _u11781))), _u11782)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11779), c_Groups_Ozero__class_Ozero(_u11779)), hAPP(c_Int_Onumber__class_Onumber__of(_u11779), _u11781))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11779), hAPP(c_Int_Onumber__class_Onumber__of(_u11779), _u11781)), c_Groups_Ozero__class_Ozero(_u11779))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11779), c_Groups_Ozero__class_Ozero(_u11779)), _u11782)) )).
% 39.91/40.14 cnf(matrix-5301, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11779) | ~class_Int_Onumber(_u11779) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11779), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11779), _u11780), hAPP(c_Int_Onumber__class_Onumber__of(_u11779), _u11781))), _u11782)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11779), c_Groups_Ozero__class_Ozero(_u11779)), hAPP(c_Int_Onumber__class_Onumber__of(_u11779), _u11781))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11779), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11779), _u11782), hAPP(c_Int_Onumber__class_Onumber__of(_u11779), _u11781))), _u11780)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11779), hAPP(c_Int_Onumber__class_Onumber__of(_u11779), _u11781)), c_Groups_Ozero__class_Ozero(_u11779))) )).
% 39.91/40.14 cnf(matrix-5302, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11779) | ~class_Int_Onumber(_u11779) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11779), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11779), _u11780), hAPP(c_Int_Onumber__class_Onumber__of(_u11779), _u11781))), _u11782)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11779), c_Groups_Ozero__class_Ozero(_u11779)), hAPP(c_Int_Onumber__class_Onumber__of(_u11779), _u11781))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11779), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11779), _u11782), hAPP(c_Int_Onumber__class_Onumber__of(_u11779), _u11781))), _u11780)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11779), c_Groups_Ozero__class_Ozero(_u11779)), _u11782)) )).
% 39.91/40.14 cnf(matrix-5303, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11779) | ~class_Int_Onumber(_u11779) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11779), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11779), _u11780), hAPP(c_Int_Onumber__class_Onumber__of(_u11779), _u11781))), _u11782)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11779), _u11780), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11779), _u11782), hAPP(c_Int_Onumber__class_Onumber__of(_u11779), _u11781)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11779), c_Groups_Ozero__class_Ozero(_u11779)), hAPP(c_Int_Onumber__class_Onumber__of(_u11779), _u11781))) )).
% 39.91/40.14 cnf(matrix-5304, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11779) | ~class_Int_Onumber(_u11779) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11779), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11779), _u11780), hAPP(c_Int_Onumber__class_Onumber__of(_u11779), _u11781))), _u11782)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11779), _u11780), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11779), _u11782), hAPP(c_Int_Onumber__class_Onumber__of(_u11779), _u11781)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11779), hAPP(c_Int_Onumber__class_Onumber__of(_u11779), _u11781)), c_Groups_Ozero__class_Ozero(_u11779))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11779), c_Groups_Ozero__class_Ozero(_u11779)), _u11782)) )).
% 39.91/40.14 cnf(matrix-5305, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11779) | ~class_Int_Onumber(_u11779) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11779), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11779), _u11780), hAPP(c_Int_Onumber__class_Onumber__of(_u11779), _u11781))), _u11782)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11779), _u11780), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11779), _u11782), hAPP(c_Int_Onumber__class_Onumber__of(_u11779), _u11781)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11779), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11779), _u11782), hAPP(c_Int_Onumber__class_Onumber__of(_u11779), _u11781))), _u11780)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11779), hAPP(c_Int_Onumber__class_Onumber__of(_u11779), _u11781)), c_Groups_Ozero__class_Ozero(_u11779))) )).
% 39.91/40.14 cnf(matrix-5306, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11779) | ~class_Int_Onumber(_u11779) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11779), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11779), _u11780), hAPP(c_Int_Onumber__class_Onumber__of(_u11779), _u11781))), _u11782)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11779), _u11780), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11779), _u11782), hAPP(c_Int_Onumber__class_Onumber__of(_u11779), _u11781)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11779), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11779), _u11782), hAPP(c_Int_Onumber__class_Onumber__of(_u11779), _u11781))), _u11780)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11779), c_Groups_Ozero__class_Ozero(_u11779)), _u11782)) )).
% 39.91/40.14 cnf(matrix-5307, plain, ( ~class_Rings_Osemiring__1(_u11783) | hBOOL(hAPP(hAPP(c_member(_u11783), c_Groups_Oone__class_Oone(_u11783)), c_Nat_Osemiring__1__class_ONats(_u11783))) )).
% 39.91/40.14 cnf(matrix-5308, plain, ( ~class_Rings_Osemiring__1(_u11784) | hBOOL(hAPP(hAPP(c_member(_u11784), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u11784), _u11785)), c_Nat_Osemiring__1__class_ONats(_u11784))) )).
% 39.91/40.14 cnf(matrix-5309, plain, ( ~class_Fields_Ofield(_u11786) | ( _u11787 = c_Groups_Ozero__class_Ozero(_u11786)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11788), _u11789)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11786), _u11787), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u11789), _u11788)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11786), hAPP(hAPP(c_Power_Opower__class_Opower(_u11786), _u11787), _u11789)), hAPP(hAPP(c_Power_Opower__class_Opower(_u11786), _u11787), _u11788))) )).
% 39.91/40.14 cnf(matrix-5310, plain, ( ~class_Fields_Ofield__inverse__zero(_u11790) | ~class_Int_Onumber__ring(_u11790) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11790), hAPP(c_Int_Onumber__class_Onumber__of(_u11790), c_Int_OMin)), _u11791) = hAPP(c_Groups_Ouminus__class_Ouminus(_u11790), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11790), c_Groups_Oone__class_Oone(_u11790)), _u11791))) )).
% 39.91/40.14 cnf(matrix-5311, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11792) | ~class_Int_Onumber(_u11792) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11792), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11792), _u11793), hAPP(c_Int_Onumber__class_Onumber__of(_u11792), _u11794))), _u11795)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11792), c_Groups_Ozero__class_Ozero(_u11792)), hAPP(c_Int_Onumber__class_Onumber__of(_u11792), _u11794))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11792), _u11793), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11792), _u11795), hAPP(c_Int_Onumber__class_Onumber__of(_u11792), _u11794)))) )).
% 39.91/40.14 cnf(matrix-5312, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11792) | ~class_Int_Onumber(_u11792) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11792), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11792), _u11793), hAPP(c_Int_Onumber__class_Onumber__of(_u11792), _u11794))), _u11795)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11792), c_Groups_Ozero__class_Ozero(_u11792)), hAPP(c_Int_Onumber__class_Onumber__of(_u11792), _u11794))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11792), hAPP(c_Int_Onumber__class_Onumber__of(_u11792), _u11794)), c_Groups_Ozero__class_Ozero(_u11792))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11792), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11792), _u11795), hAPP(c_Int_Onumber__class_Onumber__of(_u11792), _u11794))), _u11793)) )).
% 39.91/40.14 cnf(matrix-5313, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11792) | ~class_Int_Onumber(_u11792) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11792), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11792), _u11793), hAPP(c_Int_Onumber__class_Onumber__of(_u11792), _u11794))), _u11795)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11792), c_Groups_Ozero__class_Ozero(_u11792)), hAPP(c_Int_Onumber__class_Onumber__of(_u11792), _u11794))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11792), hAPP(c_Int_Onumber__class_Onumber__of(_u11792), _u11794)), c_Groups_Ozero__class_Ozero(_u11792))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11792), c_Groups_Ozero__class_Ozero(_u11792)), _u11795)) )).
% 39.91/40.14 cnf(matrix-5314, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11792) | ~class_Int_Onumber(_u11792) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11792), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11792), _u11793), hAPP(c_Int_Onumber__class_Onumber__of(_u11792), _u11794))), _u11795)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11792), c_Groups_Ozero__class_Ozero(_u11792)), hAPP(c_Int_Onumber__class_Onumber__of(_u11792), _u11794))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11792), hAPP(c_Int_Onumber__class_Onumber__of(_u11792), _u11794)), c_Groups_Ozero__class_Ozero(_u11792))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11792), c_Groups_Ozero__class_Ozero(_u11792)), _u11795)) )).
% 39.91/40.14 cnf(matrix-5315, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11792) | ~class_Int_Onumber(_u11792) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11792), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11792), _u11793), hAPP(c_Int_Onumber__class_Onumber__of(_u11792), _u11794))), _u11795)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11792), c_Groups_Ozero__class_Ozero(_u11792)), hAPP(c_Int_Onumber__class_Onumber__of(_u11792), _u11794))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11792), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11792), _u11795), hAPP(c_Int_Onumber__class_Onumber__of(_u11792), _u11794))), _u11793)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11792), hAPP(c_Int_Onumber__class_Onumber__of(_u11792), _u11794)), c_Groups_Ozero__class_Ozero(_u11792))) )).
% 39.91/40.14 cnf(matrix-5316, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11792) | ~class_Int_Onumber(_u11792) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11792), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11792), _u11793), hAPP(c_Int_Onumber__class_Onumber__of(_u11792), _u11794))), _u11795)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11792), c_Groups_Ozero__class_Ozero(_u11792)), hAPP(c_Int_Onumber__class_Onumber__of(_u11792), _u11794))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11792), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11792), _u11795), hAPP(c_Int_Onumber__class_Onumber__of(_u11792), _u11794))), _u11793)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11792), c_Groups_Ozero__class_Ozero(_u11792)), _u11795)) )).
% 39.91/40.14 cnf(matrix-5317, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11792) | ~class_Int_Onumber(_u11792) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11792), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11792), _u11793), hAPP(c_Int_Onumber__class_Onumber__of(_u11792), _u11794))), _u11795)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11792), _u11793), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11792), _u11795), hAPP(c_Int_Onumber__class_Onumber__of(_u11792), _u11794)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11792), c_Groups_Ozero__class_Ozero(_u11792)), hAPP(c_Int_Onumber__class_Onumber__of(_u11792), _u11794))) )).
% 39.91/40.14 cnf(matrix-5318, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11792) | ~class_Int_Onumber(_u11792) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11792), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11792), _u11793), hAPP(c_Int_Onumber__class_Onumber__of(_u11792), _u11794))), _u11795)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11792), _u11793), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11792), _u11795), hAPP(c_Int_Onumber__class_Onumber__of(_u11792), _u11794)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11792), hAPP(c_Int_Onumber__class_Onumber__of(_u11792), _u11794)), c_Groups_Ozero__class_Ozero(_u11792))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11792), c_Groups_Ozero__class_Ozero(_u11792)), _u11795)) )).
% 39.91/40.14 cnf(matrix-5319, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11792) | ~class_Int_Onumber(_u11792) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11792), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11792), _u11793), hAPP(c_Int_Onumber__class_Onumber__of(_u11792), _u11794))), _u11795)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11792), _u11793), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11792), _u11795), hAPP(c_Int_Onumber__class_Onumber__of(_u11792), _u11794)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11792), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11792), _u11795), hAPP(c_Int_Onumber__class_Onumber__of(_u11792), _u11794))), _u11793)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11792), hAPP(c_Int_Onumber__class_Onumber__of(_u11792), _u11794)), c_Groups_Ozero__class_Ozero(_u11792))) )).
% 39.91/40.14 cnf(matrix-5320, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11792) | ~class_Int_Onumber(_u11792) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11792), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11792), _u11793), hAPP(c_Int_Onumber__class_Onumber__of(_u11792), _u11794))), _u11795)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11792), _u11793), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11792), _u11795), hAPP(c_Int_Onumber__class_Onumber__of(_u11792), _u11794)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11792), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11792), _u11795), hAPP(c_Int_Onumber__class_Onumber__of(_u11792), _u11794))), _u11793)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11792), c_Groups_Ozero__class_Ozero(_u11792)), _u11795)) )).
% 39.91/40.14 cnf(matrix-5321, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11796) | ~class_Int_Onumber(_u11796) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11796), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11796), _u11797), _u11798)), hAPP(c_Int_Onumber__class_Onumber__of(_u11796), _u11799))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11796), c_Groups_Ozero__class_Ozero(_u11796)), _u11798)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11796), _u11797), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11796), hAPP(c_Int_Onumber__class_Onumber__of(_u11796), _u11799)), _u11798))) )).
% 39.91/40.14 cnf(matrix-5322, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11796) | ~class_Int_Onumber(_u11796) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11796), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11796), _u11797), _u11798)), hAPP(c_Int_Onumber__class_Onumber__of(_u11796), _u11799))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11796), c_Groups_Ozero__class_Ozero(_u11796)), _u11798)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11796), _u11798), c_Groups_Ozero__class_Ozero(_u11796))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11796), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11796), hAPP(c_Int_Onumber__class_Onumber__of(_u11796), _u11799)), _u11798)), _u11797)) )).
% 39.91/40.14 cnf(matrix-5323, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11796) | ~class_Int_Onumber(_u11796) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11796), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11796), _u11797), _u11798)), hAPP(c_Int_Onumber__class_Onumber__of(_u11796), _u11799))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11796), c_Groups_Ozero__class_Ozero(_u11796)), _u11798)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11796), _u11798), c_Groups_Ozero__class_Ozero(_u11796))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11796), c_Groups_Ozero__class_Ozero(_u11796)), hAPP(c_Int_Onumber__class_Onumber__of(_u11796), _u11799))) )).
% 39.91/40.14 cnf(matrix-5324, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11796) | ~class_Int_Onumber(_u11796) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11796), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11796), _u11797), _u11798)), hAPP(c_Int_Onumber__class_Onumber__of(_u11796), _u11799))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11796), c_Groups_Ozero__class_Ozero(_u11796)), _u11798)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11796), _u11798), c_Groups_Ozero__class_Ozero(_u11796))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11796), c_Groups_Ozero__class_Ozero(_u11796)), hAPP(c_Int_Onumber__class_Onumber__of(_u11796), _u11799))) )).
% 39.91/40.14 cnf(matrix-5325, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11796) | ~class_Int_Onumber(_u11796) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11796), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11796), _u11797), _u11798)), hAPP(c_Int_Onumber__class_Onumber__of(_u11796), _u11799))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11796), c_Groups_Ozero__class_Ozero(_u11796)), _u11798)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11796), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11796), hAPP(c_Int_Onumber__class_Onumber__of(_u11796), _u11799)), _u11798)), _u11797)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11796), _u11798), c_Groups_Ozero__class_Ozero(_u11796))) )).
% 39.91/40.14 cnf(matrix-5326, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11796) | ~class_Int_Onumber(_u11796) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11796), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11796), _u11797), _u11798)), hAPP(c_Int_Onumber__class_Onumber__of(_u11796), _u11799))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11796), c_Groups_Ozero__class_Ozero(_u11796)), _u11798)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11796), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11796), hAPP(c_Int_Onumber__class_Onumber__of(_u11796), _u11799)), _u11798)), _u11797)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11796), c_Groups_Ozero__class_Ozero(_u11796)), hAPP(c_Int_Onumber__class_Onumber__of(_u11796), _u11799))) )).
% 39.91/40.14 cnf(matrix-5327, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11796) | ~class_Int_Onumber(_u11796) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11796), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11796), _u11797), _u11798)), hAPP(c_Int_Onumber__class_Onumber__of(_u11796), _u11799))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11796), _u11797), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11796), hAPP(c_Int_Onumber__class_Onumber__of(_u11796), _u11799)), _u11798))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11796), c_Groups_Ozero__class_Ozero(_u11796)), _u11798)) )).
% 39.91/40.14 cnf(matrix-5328, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11796) | ~class_Int_Onumber(_u11796) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11796), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11796), _u11797), _u11798)), hAPP(c_Int_Onumber__class_Onumber__of(_u11796), _u11799))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11796), _u11797), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11796), hAPP(c_Int_Onumber__class_Onumber__of(_u11796), _u11799)), _u11798))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11796), _u11798), c_Groups_Ozero__class_Ozero(_u11796))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11796), c_Groups_Ozero__class_Ozero(_u11796)), hAPP(c_Int_Onumber__class_Onumber__of(_u11796), _u11799))) )).
% 39.91/40.14 cnf(matrix-5329, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11796) | ~class_Int_Onumber(_u11796) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11796), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11796), _u11797), _u11798)), hAPP(c_Int_Onumber__class_Onumber__of(_u11796), _u11799))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11796), _u11797), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11796), hAPP(c_Int_Onumber__class_Onumber__of(_u11796), _u11799)), _u11798))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11796), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11796), hAPP(c_Int_Onumber__class_Onumber__of(_u11796), _u11799)), _u11798)), _u11797)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11796), _u11798), c_Groups_Ozero__class_Ozero(_u11796))) )).
% 39.91/40.14 cnf(matrix-5330, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11796) | ~class_Int_Onumber(_u11796) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11796), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11796), _u11797), _u11798)), hAPP(c_Int_Onumber__class_Onumber__of(_u11796), _u11799))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11796), _u11797), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11796), hAPP(c_Int_Onumber__class_Onumber__of(_u11796), _u11799)), _u11798))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11796), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11796), hAPP(c_Int_Onumber__class_Onumber__of(_u11796), _u11799)), _u11798)), _u11797)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11796), c_Groups_Ozero__class_Ozero(_u11796)), hAPP(c_Int_Onumber__class_Onumber__of(_u11796), _u11799))) )).
% 39.91/40.14 cnf(matrix-5331, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11800) | ~class_Int_Onumber(_u11800) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11800), hAPP(c_Int_Onumber__class_Onumber__of(_u11800), _u11801)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11800), _u11802), _u11803))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11800), c_Groups_Ozero__class_Ozero(_u11800)), _u11803)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11800), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11800), hAPP(c_Int_Onumber__class_Onumber__of(_u11800), _u11801)), _u11803)), _u11802)) )).
% 39.91/40.14 cnf(matrix-5332, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11800) | ~class_Int_Onumber(_u11800) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11800), hAPP(c_Int_Onumber__class_Onumber__of(_u11800), _u11801)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11800), _u11802), _u11803))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11800), c_Groups_Ozero__class_Ozero(_u11800)), _u11803)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11800), _u11803), c_Groups_Ozero__class_Ozero(_u11800))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11800), _u11802), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11800), hAPP(c_Int_Onumber__class_Onumber__of(_u11800), _u11801)), _u11803))) )).
% 39.91/40.14 cnf(matrix-5333, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11800) | ~class_Int_Onumber(_u11800) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11800), hAPP(c_Int_Onumber__class_Onumber__of(_u11800), _u11801)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11800), _u11802), _u11803))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11800), c_Groups_Ozero__class_Ozero(_u11800)), _u11803)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11800), _u11803), c_Groups_Ozero__class_Ozero(_u11800))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11800), hAPP(c_Int_Onumber__class_Onumber__of(_u11800), _u11801)), c_Groups_Ozero__class_Ozero(_u11800))) )).
% 39.91/40.14 cnf(matrix-5334, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11800) | ~class_Int_Onumber(_u11800) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11800), hAPP(c_Int_Onumber__class_Onumber__of(_u11800), _u11801)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11800), _u11802), _u11803))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11800), c_Groups_Ozero__class_Ozero(_u11800)), _u11803)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11800), _u11803), c_Groups_Ozero__class_Ozero(_u11800))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11800), hAPP(c_Int_Onumber__class_Onumber__of(_u11800), _u11801)), c_Groups_Ozero__class_Ozero(_u11800))) )).
% 39.91/40.14 cnf(matrix-5335, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11800) | ~class_Int_Onumber(_u11800) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11800), hAPP(c_Int_Onumber__class_Onumber__of(_u11800), _u11801)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11800), _u11802), _u11803))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11800), c_Groups_Ozero__class_Ozero(_u11800)), _u11803)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11800), _u11802), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11800), hAPP(c_Int_Onumber__class_Onumber__of(_u11800), _u11801)), _u11803))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11800), _u11803), c_Groups_Ozero__class_Ozero(_u11800))) )).
% 39.91/40.14 cnf(matrix-5336, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11800) | ~class_Int_Onumber(_u11800) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11800), hAPP(c_Int_Onumber__class_Onumber__of(_u11800), _u11801)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11800), _u11802), _u11803))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11800), c_Groups_Ozero__class_Ozero(_u11800)), _u11803)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11800), _u11802), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11800), hAPP(c_Int_Onumber__class_Onumber__of(_u11800), _u11801)), _u11803))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11800), hAPP(c_Int_Onumber__class_Onumber__of(_u11800), _u11801)), c_Groups_Ozero__class_Ozero(_u11800))) )).
% 39.91/40.14 cnf(matrix-5337, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11800) | ~class_Int_Onumber(_u11800) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11800), hAPP(c_Int_Onumber__class_Onumber__of(_u11800), _u11801)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11800), _u11802), _u11803))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11800), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11800), hAPP(c_Int_Onumber__class_Onumber__of(_u11800), _u11801)), _u11803)), _u11802)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11800), c_Groups_Ozero__class_Ozero(_u11800)), _u11803)) )).
% 39.91/40.14 cnf(matrix-5338, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11800) | ~class_Int_Onumber(_u11800) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11800), hAPP(c_Int_Onumber__class_Onumber__of(_u11800), _u11801)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11800), _u11802), _u11803))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11800), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11800), hAPP(c_Int_Onumber__class_Onumber__of(_u11800), _u11801)), _u11803)), _u11802)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11800), _u11803), c_Groups_Ozero__class_Ozero(_u11800))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11800), hAPP(c_Int_Onumber__class_Onumber__of(_u11800), _u11801)), c_Groups_Ozero__class_Ozero(_u11800))) )).
% 39.91/40.14 cnf(matrix-5339, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11800) | ~class_Int_Onumber(_u11800) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11800), hAPP(c_Int_Onumber__class_Onumber__of(_u11800), _u11801)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11800), _u11802), _u11803))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11800), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11800), hAPP(c_Int_Onumber__class_Onumber__of(_u11800), _u11801)), _u11803)), _u11802)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11800), _u11802), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11800), hAPP(c_Int_Onumber__class_Onumber__of(_u11800), _u11801)), _u11803))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11800), _u11803), c_Groups_Ozero__class_Ozero(_u11800))) )).
% 39.91/40.14 cnf(matrix-5340, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11800) | ~class_Int_Onumber(_u11800) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11800), hAPP(c_Int_Onumber__class_Onumber__of(_u11800), _u11801)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11800), _u11802), _u11803))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11800), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11800), hAPP(c_Int_Onumber__class_Onumber__of(_u11800), _u11801)), _u11803)), _u11802)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11800), _u11802), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11800), hAPP(c_Int_Onumber__class_Onumber__of(_u11800), _u11801)), _u11803))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11800), hAPP(c_Int_Onumber__class_Onumber__of(_u11800), _u11801)), c_Groups_Ozero__class_Ozero(_u11800))) )).
% 39.91/40.14 cnf(matrix-5341, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11804) | ~class_Int_Onumber(_u11804) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11804), _u11805), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11804), _u11806), hAPP(c_Int_Onumber__class_Onumber__of(_u11804), _u11807)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11804), c_Groups_Ozero__class_Ozero(_u11804)), hAPP(c_Int_Onumber__class_Onumber__of(_u11804), _u11807))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11804), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11804), _u11805), hAPP(c_Int_Onumber__class_Onumber__of(_u11804), _u11807))), _u11806)) )).
% 39.91/40.14 cnf(matrix-5342, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11804) | ~class_Int_Onumber(_u11804) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11804), _u11805), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11804), _u11806), hAPP(c_Int_Onumber__class_Onumber__of(_u11804), _u11807)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11804), c_Groups_Ozero__class_Ozero(_u11804)), hAPP(c_Int_Onumber__class_Onumber__of(_u11804), _u11807))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11804), hAPP(c_Int_Onumber__class_Onumber__of(_u11804), _u11807)), c_Groups_Ozero__class_Ozero(_u11804))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11804), _u11806), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11804), _u11805), hAPP(c_Int_Onumber__class_Onumber__of(_u11804), _u11807)))) )).
% 39.91/40.14 cnf(matrix-5343, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11804) | ~class_Int_Onumber(_u11804) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11804), _u11805), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11804), _u11806), hAPP(c_Int_Onumber__class_Onumber__of(_u11804), _u11807)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11804), c_Groups_Ozero__class_Ozero(_u11804)), hAPP(c_Int_Onumber__class_Onumber__of(_u11804), _u11807))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11804), hAPP(c_Int_Onumber__class_Onumber__of(_u11804), _u11807)), c_Groups_Ozero__class_Ozero(_u11804))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11804), _u11805), c_Groups_Ozero__class_Ozero(_u11804))) )).
% 39.91/40.14 cnf(matrix-5344, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11804) | ~class_Int_Onumber(_u11804) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11804), _u11805), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11804), _u11806), hAPP(c_Int_Onumber__class_Onumber__of(_u11804), _u11807)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11804), c_Groups_Ozero__class_Ozero(_u11804)), hAPP(c_Int_Onumber__class_Onumber__of(_u11804), _u11807))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11804), hAPP(c_Int_Onumber__class_Onumber__of(_u11804), _u11807)), c_Groups_Ozero__class_Ozero(_u11804))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11804), _u11805), c_Groups_Ozero__class_Ozero(_u11804))) )).
% 39.91/40.14 cnf(matrix-5345, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11804) | ~class_Int_Onumber(_u11804) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11804), _u11805), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11804), _u11806), hAPP(c_Int_Onumber__class_Onumber__of(_u11804), _u11807)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11804), c_Groups_Ozero__class_Ozero(_u11804)), hAPP(c_Int_Onumber__class_Onumber__of(_u11804), _u11807))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11804), _u11806), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11804), _u11805), hAPP(c_Int_Onumber__class_Onumber__of(_u11804), _u11807)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11804), hAPP(c_Int_Onumber__class_Onumber__of(_u11804), _u11807)), c_Groups_Ozero__class_Ozero(_u11804))) )).
% 39.91/40.14 cnf(matrix-5346, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11804) | ~class_Int_Onumber(_u11804) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11804), _u11805), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11804), _u11806), hAPP(c_Int_Onumber__class_Onumber__of(_u11804), _u11807)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11804), c_Groups_Ozero__class_Ozero(_u11804)), hAPP(c_Int_Onumber__class_Onumber__of(_u11804), _u11807))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11804), _u11806), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11804), _u11805), hAPP(c_Int_Onumber__class_Onumber__of(_u11804), _u11807)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11804), _u11805), c_Groups_Ozero__class_Ozero(_u11804))) )).
% 39.91/40.14 cnf(matrix-5347, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11804) | ~class_Int_Onumber(_u11804) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11804), _u11805), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11804), _u11806), hAPP(c_Int_Onumber__class_Onumber__of(_u11804), _u11807)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11804), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11804), _u11805), hAPP(c_Int_Onumber__class_Onumber__of(_u11804), _u11807))), _u11806)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11804), c_Groups_Ozero__class_Ozero(_u11804)), hAPP(c_Int_Onumber__class_Onumber__of(_u11804), _u11807))) )).
% 39.91/40.14 cnf(matrix-5348, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11804) | ~class_Int_Onumber(_u11804) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11804), _u11805), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11804), _u11806), hAPP(c_Int_Onumber__class_Onumber__of(_u11804), _u11807)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11804), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11804), _u11805), hAPP(c_Int_Onumber__class_Onumber__of(_u11804), _u11807))), _u11806)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11804), hAPP(c_Int_Onumber__class_Onumber__of(_u11804), _u11807)), c_Groups_Ozero__class_Ozero(_u11804))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11804), _u11805), c_Groups_Ozero__class_Ozero(_u11804))) )).
% 39.91/40.14 cnf(matrix-5349, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11804) | ~class_Int_Onumber(_u11804) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11804), _u11805), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11804), _u11806), hAPP(c_Int_Onumber__class_Onumber__of(_u11804), _u11807)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11804), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11804), _u11805), hAPP(c_Int_Onumber__class_Onumber__of(_u11804), _u11807))), _u11806)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11804), _u11806), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11804), _u11805), hAPP(c_Int_Onumber__class_Onumber__of(_u11804), _u11807)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11804), hAPP(c_Int_Onumber__class_Onumber__of(_u11804), _u11807)), c_Groups_Ozero__class_Ozero(_u11804))) )).
% 39.91/40.14 cnf(matrix-5350, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11804) | ~class_Int_Onumber(_u11804) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11804), _u11805), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11804), _u11806), hAPP(c_Int_Onumber__class_Onumber__of(_u11804), _u11807)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11804), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11804), _u11805), hAPP(c_Int_Onumber__class_Onumber__of(_u11804), _u11807))), _u11806)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11804), _u11806), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11804), _u11805), hAPP(c_Int_Onumber__class_Onumber__of(_u11804), _u11807)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11804), _u11805), c_Groups_Ozero__class_Ozero(_u11804))) )).
% 39.91/40.14 cnf(matrix-5351, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11808) | ~class_Int_Onumber__ring(_u11808) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11808), c_Groups_Ozero__class_Ozero(_u11808)), _u11809)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11808), c_Groups_Ozero__class_Ozero(_u11808)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11808), _u11809), hAPP(c_Int_Onumber__class_Onumber__of(_u11808), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 39.91/40.14 cnf(matrix-5352, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11810) | ~class_Int_Onumber__ring(_u11810) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11810), c_Groups_Ozero__class_Ozero(_u11810)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11810), _u11811), hAPP(c_Int_Onumber__class_Onumber__of(_u11810), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11810), c_Groups_Ozero__class_Ozero(_u11810)), _u11811)) )).
% 39.91/40.14 cnf(matrix-5353, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11810) | ~class_Int_Onumber__ring(_u11810) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11810), c_Groups_Ozero__class_Ozero(_u11810)), _u11811)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11810), c_Groups_Ozero__class_Ozero(_u11810)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11810), _u11811), hAPP(c_Int_Onumber__class_Onumber__of(_u11810), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 39.91/40.14 cnf(matrix-5354, plain, ( ~class_Fields_Ofield(_u11812) | ( _u11813 = c_Groups_Oone__class_Oone(_u11812)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u11812), hAPP(c_Power_Opower__class_Opower(_u11812), _u11813)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11814)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11812), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11812), hAPP(hAPP(c_Power_Opower__class_Opower(_u11812), _u11813), _u11814)), c_Groups_Oone__class_Oone(_u11812))), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11812), _u11813), c_Groups_Oone__class_Oone(_u11812)))) )).
% 39.91/40.14 cnf(matrix-5355, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11815) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11815), _u11816), _u11817)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11815), _u11818), c_Groups_Ozero__class_Ozero(_u11815))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11815), c_Groups_Ozero__class_Ozero(_u11815)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11815), _u11816), _u11817))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11815), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11815), _u11818), _u11816)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11815), _u11818), _u11817))) )).
% 39.91/40.14 cnf(matrix-5356, plain, ( ~class_Fields_Olinordered__field(_u11819) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11819), _u11820), _u11821)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11819), c_Groups_Ozero__class_Ozero(_u11819)), _u11822)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11819), c_Groups_Ozero__class_Ozero(_u11819)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11819), _u11821), _u11820))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11819), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11819), _u11822), _u11821)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11819), _u11822), _u11820))) )).
% 39.91/40.14 cnf(matrix-5357, plain, ( ~class_Fields_Olinordered__field(_u11823) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11823), _u11824), c_Groups_Ozero__class_Ozero(_u11823))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11823), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11823), _u11825), _u11824)), _u11826)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11823), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11823), _u11826), _u11824)), _u11825)) )).
% 39.91/40.14 cnf(matrix-5358, plain, ( ~class_Fields_Olinordered__field(_u11823) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11823), _u11824), c_Groups_Ozero__class_Ozero(_u11823))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11823), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11823), _u11826), _u11824)), _u11825)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11823), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11823), _u11825), _u11824)), _u11826)) )).
% 39.91/40.14 cnf(matrix-5359, plain, ( ~class_Fields_Ofield__inverse__zero(_u11827) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11827), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11827), _u11828), _u11829)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11827), _u11830), _u11831)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11827), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11827), _u11828), _u11830)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11827), _u11829), _u11831))) )).
% 39.91/40.14 cnf(matrix-5360, plain, ( ~class_Fields_Ofield__inverse__zero(_u11832) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u11832), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11832), _u11833), _u11834)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11832), _u11833), hAPP(c_Groups_Ouminus__class_Ouminus(_u11832), _u11834))) )).
% 39.91/40.14 cnf(matrix-5361, plain, ( ~class_Fields_Ofield__inverse__zero(_u11835) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11835), hAPP(c_Groups_Ouminus__class_Ouminus(_u11835), _u11836)), hAPP(c_Groups_Ouminus__class_Ouminus(_u11835), _u11837)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11835), _u11836), _u11837)) )).
% 39.91/40.14 cnf(matrix-5362, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11838) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11838), _u11839), _u11840)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11838), _u11841), c_Groups_Ozero__class_Ozero(_u11838))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11838), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11838), _u11840), _u11841)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11838), _u11839), _u11841))) )).
% 39.91/40.14 cnf(matrix-5363, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11842) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11842), _u11843), _u11844)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11842), c_Groups_Ozero__class_Ozero(_u11842)), _u11845)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11842), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11842), _u11843), _u11845)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11842), _u11844), _u11845))) )).
% 39.91/40.14 cnf(matrix-5364, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11846) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11846), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11846), _u11847), _u11848)), c_Groups_Ozero__class_Ozero(_u11846))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11846), c_Groups_Ozero__class_Ozero(_u11846)), _u11847)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11846), _u11847), c_Groups_Ozero__class_Ozero(_u11846))) )).
% 39.91/40.14 cnf(matrix-5365, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11846) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11846), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11846), _u11847), _u11848)), c_Groups_Ozero__class_Ozero(_u11846))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11846), c_Groups_Ozero__class_Ozero(_u11846)), _u11847)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11846), c_Groups_Ozero__class_Ozero(_u11846)), _u11848)) )).
% 39.91/40.14 cnf(matrix-5366, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11846) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11846), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11846), _u11847), _u11848)), c_Groups_Ozero__class_Ozero(_u11846))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11846), _u11848), c_Groups_Ozero__class_Ozero(_u11846))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11846), _u11847), c_Groups_Ozero__class_Ozero(_u11846))) )).
% 39.91/40.14 cnf(matrix-5367, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11846) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11846), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11846), _u11847), _u11848)), c_Groups_Ozero__class_Ozero(_u11846))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11846), _u11848), c_Groups_Ozero__class_Ozero(_u11846))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11846), c_Groups_Ozero__class_Ozero(_u11846)), _u11848)) )).
% 39.91/40.14 cnf(matrix-5368, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11846) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11846), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11846), _u11847), _u11848)), c_Groups_Ozero__class_Ozero(_u11846))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11846), c_Groups_Ozero__class_Ozero(_u11846)), _u11847)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11846), _u11848), c_Groups_Ozero__class_Ozero(_u11846))) )).
% 39.91/40.14 cnf(matrix-5369, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11846) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11846), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11846), _u11847), _u11848)), c_Groups_Ozero__class_Ozero(_u11846))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11846), _u11847), c_Groups_Ozero__class_Ozero(_u11846))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11846), c_Groups_Ozero__class_Ozero(_u11846)), _u11848)) )).
% 39.91/40.14 cnf(matrix-5370, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11849) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11849), c_Groups_Ozero__class_Ozero(_u11849)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11849), _u11850), _u11851))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11849), c_Groups_Ozero__class_Ozero(_u11849)), _u11850)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11849), _u11850), c_Groups_Ozero__class_Ozero(_u11849))) )).
% 39.91/40.14 cnf(matrix-5371, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11849) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11849), c_Groups_Ozero__class_Ozero(_u11849)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11849), _u11850), _u11851))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11849), c_Groups_Ozero__class_Ozero(_u11849)), _u11850)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11849), _u11851), c_Groups_Ozero__class_Ozero(_u11849))) )).
% 39.91/40.14 cnf(matrix-5372, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11849) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11849), c_Groups_Ozero__class_Ozero(_u11849)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11849), _u11850), _u11851))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11849), c_Groups_Ozero__class_Ozero(_u11849)), _u11851)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11849), _u11850), c_Groups_Ozero__class_Ozero(_u11849))) )).
% 39.91/40.14 cnf(matrix-5373, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11849) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11849), c_Groups_Ozero__class_Ozero(_u11849)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11849), _u11850), _u11851))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11849), c_Groups_Ozero__class_Ozero(_u11849)), _u11851)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11849), _u11851), c_Groups_Ozero__class_Ozero(_u11849))) )).
% 39.91/40.14 cnf(matrix-5374, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11849) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11849), c_Groups_Ozero__class_Ozero(_u11849)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11849), _u11850), _u11851))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11849), c_Groups_Ozero__class_Ozero(_u11849)), _u11850)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11849), c_Groups_Ozero__class_Ozero(_u11849)), _u11851)) )).
% 39.91/40.14 cnf(matrix-5375, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11849) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11849), c_Groups_Ozero__class_Ozero(_u11849)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11849), _u11850), _u11851))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11849), _u11850), c_Groups_Ozero__class_Ozero(_u11849))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11849), _u11851), c_Groups_Ozero__class_Ozero(_u11849))) )).
% 39.91/40.14 cnf(matrix-5376, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11852) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11852), c_Groups_Ozero__class_Ozero(_u11852)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11852), _u11853), _u11854))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11852), c_Groups_Ozero__class_Ozero(_u11852)), _u11853)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11852), _u11853), c_Groups_Ozero__class_Ozero(_u11852))) )).
% 39.91/40.14 cnf(matrix-5377, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11852) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11852), c_Groups_Ozero__class_Ozero(_u11852)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11852), _u11853), _u11854))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11852), c_Groups_Ozero__class_Ozero(_u11852)), _u11853)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11852), _u11854), c_Groups_Ozero__class_Ozero(_u11852))) )).
% 39.91/40.14 cnf(matrix-5378, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11852) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11852), c_Groups_Ozero__class_Ozero(_u11852)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11852), _u11853), _u11854))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11852), c_Groups_Ozero__class_Ozero(_u11852)), _u11854)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11852), _u11853), c_Groups_Ozero__class_Ozero(_u11852))) )).
% 39.91/40.14 cnf(matrix-5379, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11852) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11852), c_Groups_Ozero__class_Ozero(_u11852)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11852), _u11853), _u11854))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11852), c_Groups_Ozero__class_Ozero(_u11852)), _u11854)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11852), _u11854), c_Groups_Ozero__class_Ozero(_u11852))) )).
% 39.91/40.14 cnf(matrix-5380, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11852) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11852), c_Groups_Ozero__class_Ozero(_u11852)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11852), _u11853), _u11854))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11852), c_Groups_Ozero__class_Ozero(_u11852)), _u11853)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11852), c_Groups_Ozero__class_Ozero(_u11852)), _u11854)) )).
% 39.91/40.14 cnf(matrix-5381, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11852) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11852), c_Groups_Ozero__class_Ozero(_u11852)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11852), _u11853), _u11854))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11852), _u11853), c_Groups_Ozero__class_Ozero(_u11852))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11852), _u11854), c_Groups_Ozero__class_Ozero(_u11852))) )).
% 39.91/40.14 cnf(matrix-5382, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11855) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11855), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11855), _u11856), _u11857)), c_Groups_Ozero__class_Ozero(_u11855))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11855), c_Groups_Ozero__class_Ozero(_u11855)), _u11856)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11855), _u11856), c_Groups_Ozero__class_Ozero(_u11855))) )).
% 39.91/40.14 cnf(matrix-5383, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11855) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11855), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11855), _u11856), _u11857)), c_Groups_Ozero__class_Ozero(_u11855))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11855), c_Groups_Ozero__class_Ozero(_u11855)), _u11856)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11855), c_Groups_Ozero__class_Ozero(_u11855)), _u11857)) )).
% 39.91/40.14 cnf(matrix-5384, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11855) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11855), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11855), _u11856), _u11857)), c_Groups_Ozero__class_Ozero(_u11855))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11855), _u11857), c_Groups_Ozero__class_Ozero(_u11855))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11855), _u11856), c_Groups_Ozero__class_Ozero(_u11855))) )).
% 39.91/40.14 cnf(matrix-5385, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11855) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11855), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11855), _u11856), _u11857)), c_Groups_Ozero__class_Ozero(_u11855))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11855), _u11857), c_Groups_Ozero__class_Ozero(_u11855))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11855), c_Groups_Ozero__class_Ozero(_u11855)), _u11857)) )).
% 39.91/40.14 cnf(matrix-5386, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11855) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11855), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11855), _u11856), _u11857)), c_Groups_Ozero__class_Ozero(_u11855))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11855), c_Groups_Ozero__class_Ozero(_u11855)), _u11856)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11855), _u11857), c_Groups_Ozero__class_Ozero(_u11855))) )).
% 39.91/40.14 cnf(matrix-5387, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11855) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11855), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11855), _u11856), _u11857)), c_Groups_Ozero__class_Ozero(_u11855))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11855), _u11856), c_Groups_Ozero__class_Ozero(_u11855))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11855), c_Groups_Ozero__class_Ozero(_u11855)), _u11857)) )).
% 39.91/40.14 cnf(matrix-5388, plain, ( ~class_Fields_Olinordered__field(_u11858) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11858), c_Groups_Ozero__class_Ozero(_u11858)), _u11859)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11858), c_Groups_Ozero__class_Ozero(_u11858)), _u11860)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11858), c_Groups_Ozero__class_Ozero(_u11858)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11858), _u11859), _u11860))) )).
% 39.91/40.14 cnf(matrix-5389, plain, ( ~class_Fields_Olinordered__field(_u11861) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11861), c_Groups_Ozero__class_Ozero(_u11861)), _u11862)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11861), _u11863), c_Groups_Ozero__class_Ozero(_u11861))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11861), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11861), _u11862), _u11863)), c_Groups_Ozero__class_Ozero(_u11861))) )).
% 39.91/40.14 cnf(matrix-5390, plain, ( ~class_Fields_Olinordered__field(_u11864) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11864), _u11865), c_Groups_Ozero__class_Ozero(_u11864))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11864), c_Groups_Ozero__class_Ozero(_u11864)), _u11866)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11864), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11864), _u11865), _u11866)), c_Groups_Ozero__class_Ozero(_u11864))) )).
% 39.91/40.14 cnf(matrix-5391, plain, ( ~class_Fields_Olinordered__field(_u11867) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11867), _u11868), c_Groups_Ozero__class_Ozero(_u11867))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11867), _u11869), c_Groups_Ozero__class_Ozero(_u11867))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11867), c_Groups_Ozero__class_Ozero(_u11867)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11867), _u11868), _u11869))) )).
% 39.91/40.14 cnf(matrix-5392, plain, ( ~class_Fields_Olinordered__field(_u11870) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11870), _u11871), _u11872)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11870), c_Groups_Ozero__class_Ozero(_u11870)), _u11873)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11870), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11870), _u11871), _u11873)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11870), _u11872), _u11873))) )).
% 39.91/40.14 cnf(matrix-5393, plain, ( ~class_Fields_Olinordered__field(_u11874) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11874), _u11875), _u11876)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11874), _u11877), c_Groups_Ozero__class_Ozero(_u11874))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11874), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11874), _u11876), _u11877)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11874), _u11875), _u11877))) )).
% 39.91/40.14 cnf(matrix-5394, plain, ( ~class_Fields_Ofield(_u11878) | ( _u11879 = c_Groups_Ozero__class_Ozero(_u11878)) | ( _u11880 = c_Groups_Ozero__class_Ozero(_u11878)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11878), _u11881), _u11879) != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11878), _u11882), _u11880)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11878), _u11881), _u11880) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11878), _u11882), _u11879)) )).
% 39.91/40.14 cnf(matrix-5395, plain, ( ~class_Fields_Ofield(_u11878) | ( _u11879 = c_Groups_Ozero__class_Ozero(_u11878)) | ( _u11880 = c_Groups_Ozero__class_Ozero(_u11878)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11878), _u11881), _u11880) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11878), _u11882), _u11879)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11878), _u11881), _u11879) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11878), _u11882), _u11880)) )).
% 39.91/40.14 cnf(matrix-5396, plain, ( ~class_Fields_Ofield__inverse__zero(_u11883) | ( _u11884 = c_Groups_Ozero__class_Ozero(_u11883)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11883), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11883), _u11884), _u11885)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11883), _u11884), _u11886)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11883), _u11885), _u11886)) )).
% 39.91/40.14 cnf(matrix-5397, plain, ( ~class_Fields_Ofield__inverse__zero(_u11887) | ( _u11888 = c_Groups_Ozero__class_Ozero(_u11887)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11887), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11887), _u11889), _u11888)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11887), _u11890), _u11888)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11887), _u11889), _u11890)) )).
% 39.91/40.14 cnf(matrix-5398, plain, ( ~class_Fields_Ofield__inverse__zero(_u11891) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11891), _u11892), _u11893) != _u11894) | ( _u11893 = c_Groups_Ozero__class_Ozero(_u11891)) | ( _u11892 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11891), _u11894), _u11893)) )).
% 39.91/40.14 cnf(matrix-5399, plain, ( ~class_Fields_Ofield__inverse__zero(_u11891) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11891), _u11892), _u11893) != _u11894) | ( _u11893 != c_Groups_Ozero__class_Ozero(_u11891)) | ( _u11894 = c_Groups_Ozero__class_Ozero(_u11891)) )).
% 39.91/40.14 cnf(matrix-5400, plain, ( ~class_Fields_Ofield__inverse__zero(_u11891) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11891), _u11892), _u11893) = _u11894) | ( _u11893 != c_Groups_Ozero__class_Ozero(_u11891)) | ( _u11894 != c_Groups_Ozero__class_Ozero(_u11891)) )).
% 39.91/40.14 cnf(matrix-5401, plain, ( ~class_Fields_Ofield__inverse__zero(_u11891) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11891), _u11892), _u11893) = _u11894) | ( _u11892 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11891), _u11894), _u11893)) | ( _u11893 = c_Groups_Ozero__class_Ozero(_u11891)) )).
% 39.91/40.14 cnf(matrix-5402, plain, ( ~class_Fields_Ofield__inverse__zero(_u11891) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11891), _u11892), _u11893) = _u11894) | ( _u11892 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11891), _u11894), _u11893)) | ( _u11894 != c_Groups_Ozero__class_Ozero(_u11891)) )).
% 39.91/40.14 cnf(matrix-5403, plain, ( ~class_Fields_Ofield__inverse__zero(_u11895) | ( _u11896 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11895), _u11897), _u11898)) | ( _u11898 = c_Groups_Ozero__class_Ozero(_u11895)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11895), _u11896), _u11898) = _u11897) )).
% 39.91/40.14 cnf(matrix-5404, plain, ( ~class_Fields_Ofield__inverse__zero(_u11895) | ( _u11896 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11895), _u11897), _u11898)) | ( _u11898 != c_Groups_Ozero__class_Ozero(_u11895)) | ( _u11896 = c_Groups_Ozero__class_Ozero(_u11895)) )).
% 39.91/40.14 cnf(matrix-5405, plain, ( ~class_Fields_Ofield__inverse__zero(_u11895) | ( _u11896 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11895), _u11897), _u11898)) | ( _u11898 != c_Groups_Ozero__class_Ozero(_u11895)) | ( _u11896 != c_Groups_Ozero__class_Ozero(_u11895)) )).
% 39.91/40.14 cnf(matrix-5406, plain, ( ~class_Fields_Ofield__inverse__zero(_u11895) | ( _u11896 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11895), _u11897), _u11898)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11895), _u11896), _u11898) != _u11897) | ( _u11898 = c_Groups_Ozero__class_Ozero(_u11895)) )).
% 39.91/40.14 cnf(matrix-5407, plain, ( ~class_Fields_Ofield__inverse__zero(_u11895) | ( _u11896 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11895), _u11897), _u11898)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11895), _u11896), _u11898) != _u11897) | ( _u11896 != c_Groups_Ozero__class_Ozero(_u11895)) )).
% 39.91/40.14 cnf(matrix-5408, plain, ( ~class_Fields_Olinordered__field(_u11899) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11899), c_Groups_Ozero__class_Ozero(_u11899)), _u11900)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11899), c_Groups_Ozero__class_Ozero(_u11899)), _u11901)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11899), c_Groups_Ozero__class_Ozero(_u11899)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11899), _u11900), _u11901))) )).
% 39.91/40.14 cnf(matrix-5409, plain, ( ~class_Fields_Olinordered__field(_u11902) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11902), c_Groups_Ozero__class_Ozero(_u11902)), _u11903)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11902), _u11904), c_Groups_Ozero__class_Ozero(_u11902))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11902), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11902), _u11903), _u11904)), c_Groups_Ozero__class_Ozero(_u11902))) )).
% 39.91/40.14 cnf(matrix-5410, plain, ( ~class_Fields_Olinordered__field(_u11905) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11905), c_Groups_Ozero__class_Ozero(_u11905)), _u11906)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11905), _u11906), _u11907)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11905), c_Groups_Ozero__class_Ozero(_u11905)), _u11908)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11905), _u11908), _u11909)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11905), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11905), _u11906), _u11909)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11905), _u11907), _u11908))) )).
% 39.91/40.14 cnf(matrix-5411, plain, ( ~class_Fields_Olinordered__field(_u11910) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11910), c_Groups_Ozero__class_Ozero(_u11910)), _u11911)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11910), _u11911), _u11912)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11910), c_Groups_Ozero__class_Ozero(_u11910)), _u11913)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11910), _u11913), _u11914)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11910), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11910), _u11911), _u11914)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11910), _u11912), _u11913))) )).
% 39.91/40.14 cnf(matrix-5412, plain, ( ~class_Fields_Olinordered__field(_u11915) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11915), c_Groups_Ozero__class_Ozero(_u11915)), _u11916)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11915), _u11916), _u11917)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11915), c_Groups_Ozero__class_Ozero(_u11915)), _u11918)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11915), _u11918), _u11919)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11915), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11915), _u11916), _u11919)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11915), _u11917), _u11918))) )).
% 39.91/40.14 cnf(matrix-5413, plain, ( ~class_Fields_Olinordered__field(_u11920) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11920), _u11921), c_Groups_Ozero__class_Ozero(_u11920))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11920), c_Groups_Ozero__class_Ozero(_u11920)), _u11922)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11920), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11920), _u11921), _u11922)), c_Groups_Ozero__class_Ozero(_u11920))) )).
% 39.91/40.14 cnf(matrix-5414, plain, ( ~class_Fields_Olinordered__field(_u11923) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11923), _u11924), c_Groups_Ozero__class_Ozero(_u11923))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11923), _u11925), c_Groups_Ozero__class_Ozero(_u11923))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11923), c_Groups_Ozero__class_Ozero(_u11923)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11923), _u11924), _u11925))) )).
% 39.91/40.14 cnf(matrix-5415, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11926) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11926), _u11927), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11926), _u11928), _u11929))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11926), c_Groups_Ozero__class_Ozero(_u11926)), _u11929)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11926), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11926), _u11927), _u11929)), _u11928)) )).
% 39.91/40.14 cnf(matrix-5416, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11926) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11926), _u11927), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11926), _u11928), _u11929))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11926), c_Groups_Ozero__class_Ozero(_u11926)), _u11929)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11926), _u11929), c_Groups_Ozero__class_Ozero(_u11926))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11926), _u11928), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11926), _u11927), _u11929))) )).
% 39.91/40.14 cnf(matrix-5417, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11926) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11926), _u11927), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11926), _u11928), _u11929))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11926), c_Groups_Ozero__class_Ozero(_u11926)), _u11929)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11926), _u11929), c_Groups_Ozero__class_Ozero(_u11926))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11926), _u11927), c_Groups_Ozero__class_Ozero(_u11926))) )).
% 39.91/40.14 cnf(matrix-5418, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11926) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11926), _u11927), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11926), _u11928), _u11929))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11926), c_Groups_Ozero__class_Ozero(_u11926)), _u11929)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11926), _u11929), c_Groups_Ozero__class_Ozero(_u11926))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11926), _u11927), c_Groups_Ozero__class_Ozero(_u11926))) )).
% 39.91/40.14 cnf(matrix-5419, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11926) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11926), _u11927), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11926), _u11928), _u11929))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11926), c_Groups_Ozero__class_Ozero(_u11926)), _u11929)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11926), _u11928), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11926), _u11927), _u11929))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11926), _u11929), c_Groups_Ozero__class_Ozero(_u11926))) )).
% 39.91/40.14 cnf(matrix-5420, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11926) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11926), _u11927), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11926), _u11928), _u11929))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11926), c_Groups_Ozero__class_Ozero(_u11926)), _u11929)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11926), _u11928), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11926), _u11927), _u11929))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11926), _u11927), c_Groups_Ozero__class_Ozero(_u11926))) )).
% 39.91/40.14 cnf(matrix-5421, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11926) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11926), _u11927), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11926), _u11928), _u11929))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11926), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11926), _u11927), _u11929)), _u11928)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11926), c_Groups_Ozero__class_Ozero(_u11926)), _u11929)) )).
% 39.91/40.14 cnf(matrix-5422, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11926) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11926), _u11927), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11926), _u11928), _u11929))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11926), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11926), _u11927), _u11929)), _u11928)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11926), _u11929), c_Groups_Ozero__class_Ozero(_u11926))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11926), _u11927), c_Groups_Ozero__class_Ozero(_u11926))) )).
% 39.91/40.14 cnf(matrix-5423, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11926) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11926), _u11927), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11926), _u11928), _u11929))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11926), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11926), _u11927), _u11929)), _u11928)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11926), _u11928), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11926), _u11927), _u11929))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11926), _u11929), c_Groups_Ozero__class_Ozero(_u11926))) )).
% 39.91/40.14 cnf(matrix-5424, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11926) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11926), _u11927), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11926), _u11928), _u11929))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11926), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11926), _u11927), _u11929)), _u11928)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11926), _u11928), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11926), _u11927), _u11929))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11926), _u11927), c_Groups_Ozero__class_Ozero(_u11926))) )).
% 39.91/40.14 cnf(matrix-5425, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11930) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11930), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11930), _u11931), _u11932)), _u11933)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11930), c_Groups_Ozero__class_Ozero(_u11930)), _u11932)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11930), _u11931), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11930), _u11933), _u11932))) )).
% 39.91/40.14 cnf(matrix-5426, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11930) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11930), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11930), _u11931), _u11932)), _u11933)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11930), c_Groups_Ozero__class_Ozero(_u11930)), _u11932)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11930), _u11932), c_Groups_Ozero__class_Ozero(_u11930))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11930), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11930), _u11933), _u11932)), _u11931)) )).
% 39.91/40.14 cnf(matrix-5427, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11930) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11930), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11930), _u11931), _u11932)), _u11933)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11930), c_Groups_Ozero__class_Ozero(_u11930)), _u11932)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11930), _u11932), c_Groups_Ozero__class_Ozero(_u11930))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11930), c_Groups_Ozero__class_Ozero(_u11930)), _u11933)) )).
% 39.91/40.14 cnf(matrix-5428, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11930) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11930), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11930), _u11931), _u11932)), _u11933)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11930), c_Groups_Ozero__class_Ozero(_u11930)), _u11932)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11930), _u11932), c_Groups_Ozero__class_Ozero(_u11930))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11930), c_Groups_Ozero__class_Ozero(_u11930)), _u11933)) )).
% 39.91/40.14 cnf(matrix-5429, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11930) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11930), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11930), _u11931), _u11932)), _u11933)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11930), c_Groups_Ozero__class_Ozero(_u11930)), _u11932)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11930), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11930), _u11933), _u11932)), _u11931)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11930), _u11932), c_Groups_Ozero__class_Ozero(_u11930))) )).
% 39.91/40.14 cnf(matrix-5430, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11930) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11930), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11930), _u11931), _u11932)), _u11933)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11930), c_Groups_Ozero__class_Ozero(_u11930)), _u11932)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11930), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11930), _u11933), _u11932)), _u11931)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11930), c_Groups_Ozero__class_Ozero(_u11930)), _u11933)) )).
% 39.91/40.14 cnf(matrix-5431, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11930) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11930), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11930), _u11931), _u11932)), _u11933)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11930), _u11931), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11930), _u11933), _u11932))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11930), c_Groups_Ozero__class_Ozero(_u11930)), _u11932)) )).
% 39.91/40.14 cnf(matrix-5432, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11930) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11930), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11930), _u11931), _u11932)), _u11933)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11930), _u11931), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11930), _u11933), _u11932))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11930), _u11932), c_Groups_Ozero__class_Ozero(_u11930))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11930), c_Groups_Ozero__class_Ozero(_u11930)), _u11933)) )).
% 39.91/40.14 cnf(matrix-5433, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11930) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11930), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11930), _u11931), _u11932)), _u11933)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11930), _u11931), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11930), _u11933), _u11932))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11930), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11930), _u11933), _u11932)), _u11931)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11930), _u11932), c_Groups_Ozero__class_Ozero(_u11930))) )).
% 39.91/40.14 cnf(matrix-5434, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11930) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11930), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11930), _u11931), _u11932)), _u11933)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11930), _u11931), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11930), _u11933), _u11932))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11930), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11930), _u11933), _u11932)), _u11931)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11930), c_Groups_Ozero__class_Ozero(_u11930)), _u11933)) )).
% 39.91/40.14 cnf(matrix-5435, plain, ( ~class_Fields_Olinordered__field(_u11934) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11934), c_Groups_Ozero__class_Ozero(_u11934)), _u11935)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11934), _u11936), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11934), _u11937), _u11935))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11934), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11934), _u11936), _u11935)), _u11937)) )).
% 39.91/40.14 cnf(matrix-5436, plain, ( ~class_Fields_Olinordered__field(_u11934) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11934), c_Groups_Ozero__class_Ozero(_u11934)), _u11935)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11934), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11934), _u11936), _u11935)), _u11937)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11934), _u11936), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11934), _u11937), _u11935))) )).
% 39.91/40.14 cnf(matrix-5437, plain, ( ~class_Fields_Olinordered__field(_u11938) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11938), c_Groups_Ozero__class_Ozero(_u11938)), _u11939)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11938), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11938), _u11940), _u11939)), _u11941)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11938), _u11940), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11938), _u11941), _u11939))) )).
% 39.91/40.14 cnf(matrix-5438, plain, ( ~class_Fields_Olinordered__field(_u11938) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11938), c_Groups_Ozero__class_Ozero(_u11938)), _u11939)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11938), _u11940), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11938), _u11941), _u11939))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11938), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11938), _u11940), _u11939)), _u11941)) )).
% 39.91/40.14 cnf(matrix-5439, plain, ( ~class_Fields_Olinordered__field(_u11942) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11942), c_Groups_Ozero__class_Ozero(_u11942)), _u11943)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11942), _u11944), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11942), _u11945), _u11943))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11942), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11942), _u11944), _u11943)), _u11945)) )).
% 39.91/40.14 cnf(matrix-5440, plain, ( ~class_Fields_Olinordered__field(_u11946) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11946), c_Groups_Ozero__class_Ozero(_u11946)), _u11947)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11946), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11946), _u11948), _u11947)), _u11949)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11946), _u11948), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11946), _u11949), _u11947))) )).
% 39.91/40.14 cnf(matrix-5441, plain, ( ~class_Fields_Olinordered__field(_u11950) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11950), _u11951), c_Groups_Ozero__class_Ozero(_u11950))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11950), _u11952), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11950), _u11953), _u11951))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11950), _u11953), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11950), _u11952), _u11951))) )).
% 39.91/40.14 cnf(matrix-5442, plain, ( ~class_Fields_Olinordered__field(_u11950) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11950), _u11951), c_Groups_Ozero__class_Ozero(_u11950))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11950), _u11953), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11950), _u11952), _u11951))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11950), _u11952), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11950), _u11953), _u11951))) )).
% 39.91/40.14 cnf(matrix-5443, plain, ( ~class_Fields_Olinordered__field(_u11954) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11954), _u11955), c_Groups_Ozero__class_Ozero(_u11954))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11954), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11954), _u11956), _u11955)), _u11957)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11954), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11954), _u11957), _u11955)), _u11956)) )).
% 39.91/40.14 cnf(matrix-5444, plain, ( ~class_Fields_Olinordered__field(_u11954) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11954), _u11955), c_Groups_Ozero__class_Ozero(_u11954))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11954), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11954), _u11957), _u11955)), _u11956)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11954), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11954), _u11956), _u11955)), _u11957)) )).
% 39.91/40.14 cnf(matrix-5445, plain, ( ~class_Fields_Olinordered__field(_u11958) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11958), _u11959), _u11960)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11958), c_Groups_Ozero__class_Ozero(_u11958)), _u11961)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11958), c_Groups_Ozero__class_Ozero(_u11958)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11958), _u11960), _u11959))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11958), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11958), _u11961), _u11960)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11958), _u11961), _u11959))) )).
% 39.91/40.14 cnf(matrix-5446, plain, ( ~class_Fields_Olinordered__field(_u11962) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11962), _u11963), _u11964)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11962), _u11965), c_Groups_Ozero__class_Ozero(_u11962))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11962), c_Groups_Ozero__class_Ozero(_u11962)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11962), _u11963), _u11964))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11962), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11962), _u11965), _u11963)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11962), _u11965), _u11964))) )).
% 39.91/40.14 cnf(matrix-5447, plain, ( ~class_Fields_Ofield(_u11966) | ( _u11967 = c_Groups_Ozero__class_Ozero(_u11966)) | ( _u11968 = c_Groups_Ozero__class_Ozero(_u11966)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11966), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11966), _u11969), _u11967)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11966), _u11970), _u11968)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11966), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11966), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11966), _u11969), _u11968)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11966), _u11970), _u11967))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11966), _u11967), _u11968))) )).
% 39.91/40.14 cnf(matrix-5448, plain, ( ~class_Fields_Ofield(_u11971) | ( _u11972 = c_Groups_Ozero__class_Ozero(_u11971)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11971), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11971), _u11973), _u11972)), _u11974) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11971), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11971), _u11973), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11971), _u11972), _u11974))), _u11972)) )).
% 39.91/40.14 cnf(matrix-5449, plain, ( ~class_Fields_Ofield__inverse__zero(_u11975) | ( _u11976 = c_Groups_Ozero__class_Ozero(_u11975)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11975), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11975), _u11977), _u11976)), _u11978) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11975), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11975), _u11977), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11975), _u11978), _u11976))), _u11976)) )).
% 39.91/40.14 cnf(matrix-5450, plain, ( ~class_Fields_Ofield(_u11979) | ( _u11980 = c_Groups_Ozero__class_Ozero(_u11979)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11979), _u11981), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11979), _u11982), _u11980)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11979), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11979), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11979), _u11980), _u11981)), _u11982)), _u11980)) )).
% 39.91/40.14 cnf(matrix-5451, plain, ( ~class_Fields_Ofield__inverse__zero(_u11983) | ( _u11984 = c_Groups_Ozero__class_Ozero(_u11983)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11983), _u11985), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11983), _u11986), _u11984)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11983), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11983), _u11986), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11983), _u11985), _u11984))), _u11984)) )).
% 39.91/40.14 cnf(matrix-5452, plain, ( ~class_Fields_Ofield(_u11987) | ( _u11988 = c_Groups_Ozero__class_Ozero(_u11987)) | ( _u11989 = c_Groups_Ozero__class_Ozero(_u11987)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11987), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11987), _u11990), _u11988)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11987), _u11991), _u11989)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11987), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11987), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11987), _u11990), _u11989)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11987), _u11991), _u11988))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11987), _u11988), _u11989))) )).
% 39.91/40.14 cnf(matrix-5453, plain, ( ~class_Fields_Ofield(_u11992) | ( _u11993 = c_Groups_Ozero__class_Ozero(_u11992)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11992), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11992), _u11994), _u11993)), _u11995) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11992), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11992), _u11994), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11992), _u11993), _u11995))), _u11993)) )).
% 39.91/40.14 cnf(matrix-5454, plain, ( ~class_Fields_Ofield(_u11996) | ( _u11997 = c_Groups_Ozero__class_Ozero(_u11996)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11996), _u11998), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11996), _u11999), _u11997)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11996), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11996), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11996), _u11997), _u11998)), _u11999)), _u11997)) )).
% 39.91/40.14 cnf(matrix-5455, plain, ( ~class_Fields_Olinordered__field(_u12000) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12000), _u12001), _u12002)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12000), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12000), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12000), _u12001), _u12002)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12000), c_Groups_Oone__class_Oone(_u12000)), c_Groups_Oone__class_Oone(_u12000)))), _u12002)) )).
% 39.91/40.14 cnf(matrix-5456, plain, ( ~class_Fields_Olinordered__field(_u12003) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12003), _u12004), _u12005)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12003), _u12004), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12003), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12003), _u12004), _u12005)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12003), c_Groups_Oone__class_Oone(_u12003)), c_Groups_Oone__class_Oone(_u12003))))) )).
% 39.91/40.14 cnf(matrix-5457, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u12006) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12006), _u12007), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12006), _u12008), _u12009))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12006), c_Groups_Ozero__class_Ozero(_u12006)), _u12009)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12006), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12006), _u12007), _u12009)), _u12008)) )).
% 39.91/40.14 cnf(matrix-5458, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u12006) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12006), _u12007), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12006), _u12008), _u12009))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12006), c_Groups_Ozero__class_Ozero(_u12006)), _u12009)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12006), _u12009), c_Groups_Ozero__class_Ozero(_u12006))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12006), _u12008), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12006), _u12007), _u12009))) )).
% 39.91/40.14 cnf(matrix-5459, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u12006) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12006), _u12007), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12006), _u12008), _u12009))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12006), c_Groups_Ozero__class_Ozero(_u12006)), _u12009)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12006), _u12009), c_Groups_Ozero__class_Ozero(_u12006))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12006), _u12007), c_Groups_Ozero__class_Ozero(_u12006))) )).
% 39.91/40.14 cnf(matrix-5460, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u12006) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12006), _u12007), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12006), _u12008), _u12009))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12006), c_Groups_Ozero__class_Ozero(_u12006)), _u12009)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12006), _u12009), c_Groups_Ozero__class_Ozero(_u12006))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12006), _u12007), c_Groups_Ozero__class_Ozero(_u12006))) )).
% 39.91/40.14 cnf(matrix-5461, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u12006) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12006), _u12007), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12006), _u12008), _u12009))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12006), c_Groups_Ozero__class_Ozero(_u12006)), _u12009)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12006), _u12008), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12006), _u12007), _u12009))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12006), _u12009), c_Groups_Ozero__class_Ozero(_u12006))) )).
% 39.91/40.14 cnf(matrix-5462, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u12006) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12006), _u12007), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12006), _u12008), _u12009))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12006), c_Groups_Ozero__class_Ozero(_u12006)), _u12009)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12006), _u12008), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12006), _u12007), _u12009))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12006), _u12007), c_Groups_Ozero__class_Ozero(_u12006))) )).
% 39.91/40.14 cnf(matrix-5463, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u12006) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12006), _u12007), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12006), _u12008), _u12009))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12006), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12006), _u12007), _u12009)), _u12008)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12006), c_Groups_Ozero__class_Ozero(_u12006)), _u12009)) )).
% 39.91/40.14 cnf(matrix-5464, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u12006) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12006), _u12007), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12006), _u12008), _u12009))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12006), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12006), _u12007), _u12009)), _u12008)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12006), _u12009), c_Groups_Ozero__class_Ozero(_u12006))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12006), _u12007), c_Groups_Ozero__class_Ozero(_u12006))) )).
% 39.91/40.14 cnf(matrix-5465, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u12006) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12006), _u12007), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12006), _u12008), _u12009))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12006), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12006), _u12007), _u12009)), _u12008)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12006), _u12008), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12006), _u12007), _u12009))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12006), _u12009), c_Groups_Ozero__class_Ozero(_u12006))) )).
% 39.91/40.14 cnf(matrix-5466, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u12006) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12006), _u12007), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12006), _u12008), _u12009))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12006), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12006), _u12007), _u12009)), _u12008)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12006), _u12008), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12006), _u12007), _u12009))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12006), _u12007), c_Groups_Ozero__class_Ozero(_u12006))) )).
% 39.91/40.14 cnf(matrix-5467, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u12010) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12010), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12010), _u12011), _u12012)), _u12013)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12010), c_Groups_Ozero__class_Ozero(_u12010)), _u12012)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12010), _u12011), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12010), _u12013), _u12012))) )).
% 39.91/40.14 cnf(matrix-5468, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u12010) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12010), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12010), _u12011), _u12012)), _u12013)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12010), c_Groups_Ozero__class_Ozero(_u12010)), _u12012)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12010), _u12012), c_Groups_Ozero__class_Ozero(_u12010))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12010), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12010), _u12013), _u12012)), _u12011)) )).
% 39.91/40.14 cnf(matrix-5469, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u12010) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12010), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12010), _u12011), _u12012)), _u12013)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12010), c_Groups_Ozero__class_Ozero(_u12010)), _u12012)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12010), _u12012), c_Groups_Ozero__class_Ozero(_u12010))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12010), c_Groups_Ozero__class_Ozero(_u12010)), _u12013)) )).
% 39.91/40.14 cnf(matrix-5470, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u12010) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12010), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12010), _u12011), _u12012)), _u12013)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12010), c_Groups_Ozero__class_Ozero(_u12010)), _u12012)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12010), _u12012), c_Groups_Ozero__class_Ozero(_u12010))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12010), c_Groups_Ozero__class_Ozero(_u12010)), _u12013)) )).
% 39.91/40.14 cnf(matrix-5471, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u12010) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12010), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12010), _u12011), _u12012)), _u12013)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12010), c_Groups_Ozero__class_Ozero(_u12010)), _u12012)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12010), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12010), _u12013), _u12012)), _u12011)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12010), _u12012), c_Groups_Ozero__class_Ozero(_u12010))) )).
% 39.91/40.14 cnf(matrix-5472, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u12010) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12010), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12010), _u12011), _u12012)), _u12013)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12010), c_Groups_Ozero__class_Ozero(_u12010)), _u12012)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12010), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12010), _u12013), _u12012)), _u12011)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12010), c_Groups_Ozero__class_Ozero(_u12010)), _u12013)) )).
% 39.91/40.14 cnf(matrix-5473, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u12010) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12010), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12010), _u12011), _u12012)), _u12013)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12010), _u12011), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12010), _u12013), _u12012))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12010), c_Groups_Ozero__class_Ozero(_u12010)), _u12012)) )).
% 39.91/40.14 cnf(matrix-5474, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u12010) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12010), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12010), _u12011), _u12012)), _u12013)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12010), _u12011), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12010), _u12013), _u12012))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12010), _u12012), c_Groups_Ozero__class_Ozero(_u12010))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12010), c_Groups_Ozero__class_Ozero(_u12010)), _u12013)) )).
% 39.91/40.14 cnf(matrix-5475, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u12010) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12010), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12010), _u12011), _u12012)), _u12013)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12010), _u12011), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12010), _u12013), _u12012))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12010), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12010), _u12013), _u12012)), _u12011)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12010), _u12012), c_Groups_Ozero__class_Ozero(_u12010))) )).
% 39.91/40.14 cnf(matrix-5476, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u12010) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12010), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12010), _u12011), _u12012)), _u12013)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12010), _u12011), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12010), _u12013), _u12012))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12010), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12010), _u12013), _u12012)), _u12011)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12010), c_Groups_Ozero__class_Ozero(_u12010)), _u12013)) )).
% 39.91/40.14 cnf(matrix-5477, plain, ( ~class_Fields_Olinordered__field(_u12014) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12014), c_Groups_Ozero__class_Ozero(_u12014)), _u12015)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12014), _u12016), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12014), _u12017), _u12015))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12014), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12014), _u12016), _u12015)), _u12017)) )).
% 39.91/40.14 cnf(matrix-5478, plain, ( ~class_Fields_Olinordered__field(_u12014) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12014), c_Groups_Ozero__class_Ozero(_u12014)), _u12015)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12014), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12014), _u12016), _u12015)), _u12017)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12014), _u12016), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12014), _u12017), _u12015))) )).
% 39.91/40.14 cnf(matrix-5479, plain, ( ~class_Fields_Olinordered__field(_u12018) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12018), c_Groups_Ozero__class_Ozero(_u12018)), _u12019)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12018), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12018), _u12020), _u12019)), _u12021)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12018), _u12020), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12018), _u12021), _u12019))) )).
% 39.91/40.14 cnf(matrix-5480, plain, ( ~class_Fields_Olinordered__field(_u12018) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12018), c_Groups_Ozero__class_Ozero(_u12018)), _u12019)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12018), _u12020), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12018), _u12021), _u12019))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12018), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12018), _u12020), _u12019)), _u12021)) )).
% 39.91/40.14 cnf(matrix-5481, plain, ( ~class_Fields_Olinordered__field(_u12022) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12022), c_Groups_Ozero__class_Ozero(_u12022)), _u12023)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12022), _u12024), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12022), _u12025), _u12023))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12022), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12022), _u12024), _u12023)), _u12025)) )).
% 39.91/40.14 cnf(matrix-5482, plain, ( ~class_Fields_Olinordered__field(_u12026) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12026), c_Groups_Ozero__class_Ozero(_u12026)), _u12027)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12026), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12026), _u12028), _u12027)), _u12029)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12026), _u12028), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12026), _u12029), _u12027))) )).
% 39.91/40.14 cnf(matrix-5483, plain, ( ~class_Fields_Olinordered__field(_u12030) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12030), _u12031), c_Groups_Ozero__class_Ozero(_u12030))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12030), _u12032), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12030), _u12033), _u12031))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12030), _u12033), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12030), _u12032), _u12031))) )).
% 39.91/40.14 cnf(matrix-5484, plain, ( ~class_Fields_Olinordered__field(_u12030) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12030), _u12031), c_Groups_Ozero__class_Ozero(_u12030))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12030), _u12033), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12030), _u12032), _u12031))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12030), _u12032), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12030), _u12033), _u12031))) )).
% 39.91/40.14 cnf(matrix-5485, plain, ( ~class_Fields_Ofield(_u12035) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12036), _u12037)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12036), _u12038)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12036, _u12035), _u12039), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12036, tc_HOL_Obool)), _u12037), _u12038)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12035), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12035), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12036, _u12035), _u12039), _u12037)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12036, _u12035), _u12039), _u12038))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12036, _u12035), _u12039), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12036, tc_HOL_Obool)), _u12037), _u12038)))) | hBOOL(hAPP(hAPP(c_member(_u12036), skolem220(_u12039, _u12038, _u12037, _u12036, _u12035)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12036, tc_HOL_Obool)), _u12037), _u12038))) )).
% 39.91/40.14 cnf(matrix-5486, plain, ( ~class_Fields_Ofield(_u12035) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12036), _u12037)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12036), _u12038)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12036, _u12035), _u12039), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12036, tc_HOL_Obool)), _u12037), _u12038)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12035), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12035), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12036, _u12035), _u12039), _u12037)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12036, _u12035), _u12039), _u12038))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12036, _u12035), _u12039), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12036, tc_HOL_Obool)), _u12037), _u12038)))) | ( hAPP(_u12039, skolem220(_u12039, _u12038, _u12037, _u12036, _u12035)) = c_Groups_Ozero__class_Ozero(_u12035)) )).
% 39.91/40.14 cnf(matrix-5487, plain, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(c_Code__Numeral_OSuc__code__numeral(_u12040)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(_u12040)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 39.91/40.14 cnf(matrix-5488, plain, ( ~class_Groups_Oordered__ab__group__add(_u12042) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12043), _u12044)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12043, _u12042), _u12045), _u12044) != _u12046) | ~hBOOL(hAPP(hAPP(c_member(_u12043), _u12047), _u12044)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12042), hAPP(_u12045, _u12047)), _u12046)) | hBOOL(hAPP(hAPP(c_member(_u12043), skolem221(_u12047, _u12046, _u12045, _u12044, _u12043, _u12042)), _u12044)) )).
% 39.91/40.14 cnf(matrix-5489, plain, ( ~class_Groups_Oordered__ab__group__add(_u12042) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12043), _u12044)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12043, _u12042), _u12045), _u12044) != _u12046) | ~hBOOL(hAPP(hAPP(c_member(_u12043), _u12047), _u12044)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12042), hAPP(_u12045, _u12047)), _u12046)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12042), c_Groups_Ozero__class_Ozero(_u12042)), hAPP(_u12045, skolem221(_u12047, _u12046, _u12045, _u12044, _u12043, _u12042)))) )).
% 39.91/40.14 cnf(matrix-5490, plain, ( ( c_Code__Numeral_OSuc__code__numeral(_u12050) != c_Code__Numeral_OSuc__code__numeral(_u12052)) | ( _u12050 = _u12052) )).
% 39.91/40.14 cnf(matrix-5491, plain, ( ( _u12051 != _u12053) | ( c_Code__Numeral_OSuc__code__numeral(_u12051) = c_Code__Numeral_OSuc__code__numeral(_u12053)) )).
% 39.91/40.14 cnf(matrix-5492, plain, ( ( c_Code__Numeral_OSuc__code__numeral(_u12054) != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) )).
% 39.91/40.14 cnf(matrix-5493, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) != c_Code__Numeral_OSuc__code__numeral(_u12055)) )).
% 39.91/40.14 cnf(matrix-5494, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), c_Code__Numeral_OSuc__code__numeral(_u12056)), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) = _u12056) )).
% 39.91/40.14 cnf(matrix-5495, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Code__Numeral_Ocode__numeral), c_Code__Numeral_OSuc__code__numeral(_u12057)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Code__Numeral_Ocode__numeral), _u12057)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 39.91/40.14 cnf(matrix-5496, plain, ( ~class_Groups_Oordered__ab__group__add(_u12059) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12060), _u12061)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12060, _u12059), _u12062), _u12061) != c_Groups_Ozero__class_Ozero(_u12059)) | ~hBOOL(hAPP(hAPP(c_member(_u12060), _u12063), _u12061)) | ( hAPP(_u12062, _u12063) = c_Groups_Ozero__class_Ozero(_u12059)) | hBOOL(hAPP(hAPP(c_member(_u12060), skolem222(_u12063, _u12062, _u12061, _u12060, _u12059)), _u12061)) )).
% 39.91/40.14 cnf(matrix-5497, plain, ( ~class_Groups_Oordered__ab__group__add(_u12059) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12060), _u12061)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12060, _u12059), _u12062), _u12061) != c_Groups_Ozero__class_Ozero(_u12059)) | ~hBOOL(hAPP(hAPP(c_member(_u12060), _u12063), _u12061)) | ( hAPP(_u12062, _u12063) = c_Groups_Ozero__class_Ozero(_u12059)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12059), c_Groups_Ozero__class_Ozero(_u12059)), hAPP(_u12062, skolem222(_u12063, _u12062, _u12061, _u12060, _u12059)))) )).
% 39.91/40.14 cnf(matrix-5498, 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)))) )).
% 39.91/40.14 cnf(matrix-5499, plain, ( ~class_Orderings_Olinorder(_u12064) | ( hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12064), _u12065) != hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12064), _u12066)) | ( _u12065 = _u12066) )).
% 39.91/40.14 cnf(matrix-5500, plain, ( ~class_Orderings_Olinorder(_u12064) | ( _u12065 != _u12066) | ( hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12064), _u12065) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12064), _u12066)) )).
% 39.91/40.14 cnf(matrix-5501, plain, ( ~class_Orderings_Oord(_u12067) | ~hBOOL(hAPP(hAPP(c_member(_u12067), _u12068), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12067), _u12069))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12067), _u12069), _u12068)) )).
% 39.91/40.14 cnf(matrix-5502, plain, ( ~class_Orderings_Oord(_u12067) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12067), _u12069), _u12068)) | hBOOL(hAPP(hAPP(c_member(_u12067), _u12068), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12067), _u12069))) )).
% 39.91/40.14 cnf(matrix-5503, plain, ( ~class_Orderings_Olinorder(_u12070) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12070, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12070), _u12071)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12070), _u12072))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12070), _u12072), _u12071)) )).
% 39.91/40.14 cnf(matrix-5504, plain, ( ~class_Orderings_Olinorder(_u12070) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12070), _u12072), _u12071)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12070, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12070), _u12071)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12070), _u12072))) )).
% 39.91/40.14 cnf(matrix-5505, 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_OgreaterThanAtMost(_u12073, _u12074, _u12075)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12073), _u12075)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12073), _u12074)) )).
% 39.91/40.14 cnf(matrix-5506, plain, ( ~class_Groups_Oordered__ab__group__add(_u12076) | ( hAPP(c_Set_Oimage(_u12076, _u12076, c_Groups_Ouminus__class_Ouminus(_u12076)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12076), _u12077)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u12076), hAPP(c_Groups_Ouminus__class_Ouminus(_u12076), _u12077))) )).
% 39.91/40.14 cnf(matrix-5507, plain, ( ~class_Groups_Oordered__ab__group__add(_u12078) | ( hAPP(c_Set_Oimage(_u12078, _u12078, c_Groups_Ouminus__class_Ouminus(_u12078)), hAPP(c_SetInterval_Oord__class_OlessThan(_u12078), _u12079)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12078), hAPP(c_Groups_Ouminus__class_Ouminus(_u12078), _u12079))) )).
% 39.91/40.14 cnf(matrix-5508, plain, ( ~class_Orderings_Oorder(_u12080) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12080, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u12080, _u12081, _u12082)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12080), _u12082)) = c_Orderings_Obot__class_Obot(tc_fun(_u12080, tc_HOL_Obool))) )).
% 39.91/40.14 cnf(matrix-5509, plain, ( ( hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u12083)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat), _u12083)), hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u12083)), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))))) )).
% 39.91/40.14 cnf(matrix-5510, 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)) )).
% 39.91/40.14 cnf(matrix-5511, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(_u12085, skolem223(_u12087, _u12086, _u12085))), hAPP(_u12086, skolem223(_u12087, _u12086, _u12085)))) | ( 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), _u12086), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u12087))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, tc_Nat_Onat), _u12085), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u12087))) = 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)), _u12086)), _u12085)), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u12087))) )).
% 39.91/40.14 cnf(matrix-5512, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u12088), _u12089)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u12090), _u12091)) | 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), _u12088), _u12090)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u12089), _u12091))), c_FunDef_Opair__less)) )).
% 39.91/40.14 cnf(matrix-5513, plain, ( ~class_Orderings_Olinorder(_u12094) | ( hAPP(_u12095, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u12094), skolem224(_u12096, _u12095, _u12094)), skolem225(_u12096, _u12095, _u12094))) != hAPP(hAPP(c_Orderings_Oord__class_Omax(_u12094), hAPP(_u12095, skolem224(_u12096, _u12095, _u12094))), hAPP(_u12095, skolem225(_u12096, _u12095, _u12094)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12094), _u12096)) | ( _u12096 = c_Orderings_Obot__class_Obot(tc_fun(_u12094, tc_HOL_Obool))) | ( hAPP(_u12095, c_Big__Operators_Olattice_OSup__fin(_u12094, c_Orderings_Oord__class_Omax(_u12094), _u12096)) = c_Big__Operators_Olattice_OSup__fin(_u12094, c_Orderings_Oord__class_Omax(_u12094), hAPP(c_Set_Oimage(_u12094, _u12094, _u12095), _u12096))) )).
% 39.91/40.14 cnf(matrix-5514, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u12097), _u12098)) | 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), _u12097), _u12099)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u12098), _u12100))), c_FunDef_Opair__less)) )).
% 39.91/40.14 cnf(matrix-5515, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u12101), _u12102)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u12103), _u12104)) | 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), _u12101), _u12103)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u12102), _u12104))), c_FunDef_Opair__leq)) )).
% 39.91/40.14 cnf(matrix-5516, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u12105), _u12106)) | ~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)), _u12105), _u12107)), 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)), _u12106), _u12108)), 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)), _u12106), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u12107), _u12108))), c_FunDef_Omin__strict)) )).
% 39.91/40.14 cnf(matrix-5517, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u12109), _u12110)) | ~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)), _u12111), _u12109)), 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)), _u12112), _u12110)), 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)), _u12111), _u12112)), _u12110)), c_FunDef_Omax__strict)) )).
% 39.91/40.14 cnf(matrix-5518, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u12113)) | ( _u12113 = 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))), _u12113)), c_FunDef_Omax__strict)) )).
% 39.91/40.14 cnf(matrix-5519, plain, ( ( _u12114 = 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)), _u12114), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))), c_FunDef_Omin__strict)) )).
% 39.91/40.14 cnf(matrix-5520, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u12115), _u12116)) | 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), _u12115), _u12117)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u12116), _u12118))), c_FunDef_Opair__leq)) )).
% 39.91/40.14 cnf(matrix-5521, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u12119), _u12120)) | ~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)), _u12121), _u12119)), 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)), _u12122), _u12120)), 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)), _u12121), _u12122)), _u12120)), c_FunDef_Omax__weak)) )).
% 39.91/40.14 cnf(matrix-5522, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u12123), _u12124)) | ~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)), _u12123), _u12125)), 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)), _u12124), _u12126)), 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)), _u12124), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u12125), _u12126))), c_FunDef_Omin__weak)) )).
% 39.91/40.14 cnf(matrix-5523, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u12127)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat), _u12127)), hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u12127), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))))) )).
% 39.91/40.14 cnf(matrix-5524, plain, ( ~class_Orderings_Olinorder(_u12128) | ( hAPP(c_SetInterval_Oord__class_OatLeast(_u12128), _u12129) != hAPP(c_SetInterval_Oord__class_OatLeast(_u12128), _u12130)) | ( _u12129 = _u12130) )).
% 39.91/40.14 cnf(matrix-5525, plain, ( ~class_Orderings_Olinorder(_u12128) | ( _u12129 != _u12130) | ( hAPP(c_SetInterval_Oord__class_OatLeast(_u12128), _u12129) = hAPP(c_SetInterval_Oord__class_OatLeast(_u12128), _u12130)) )).
% 39.91/40.14 cnf(matrix-5526, plain, ( ~class_Orderings_Oord(_u12131) | ~hBOOL(hAPP(hAPP(c_member(_u12131), _u12132), hAPP(c_SetInterval_Oord__class_OatLeast(_u12131), _u12133))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12131), _u12133), _u12132)) )).
% 39.91/40.14 cnf(matrix-5527, plain, ( ~class_Orderings_Oord(_u12131) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12131), _u12133), _u12132)) | hBOOL(hAPP(hAPP(c_member(_u12131), _u12132), hAPP(c_SetInterval_Oord__class_OatLeast(_u12131), _u12133))) )).
% 39.91/40.14 cnf(matrix-5528, plain, ( ~class_Orderings_Oorder(_u12134) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12134, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u12134), _u12135)), hAPP(c_SetInterval_Oord__class_OatLeast(_u12134), _u12136))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12134), _u12136), _u12135)) )).
% 39.91/40.14 cnf(matrix-5529, plain, ( ~class_Orderings_Oorder(_u12134) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12134), _u12136), _u12135)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12134, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u12134), _u12135)), hAPP(c_SetInterval_Oord__class_OatLeast(_u12134), _u12136))) )).
% 39.91/40.14 cnf(matrix-5530, 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))) )).
% 39.91/40.14 cnf(matrix-5531, plain, ( ~class_Orderings_Olinorder(_u12137) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12137, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u12137), _u12138)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u12137), _u12138)) )).
% 39.91/40.14 cnf(matrix-5532, plain, ( ~class_Orderings_Olinorder(_u12139) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12139, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u12139), _u12140)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u12139), _u12140)) )).
% 39.91/40.14 cnf(matrix-5533, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u12141)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat), _u12141)) )).
% 39.91/40.14 cnf(matrix-5534, plain, ( ~class_Orderings_Olinorder(_u12142) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12142), _u12143), _u12144)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12142, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u12142, _u12143), _u12144)), hAPP(c_SetInterval_Oord__class_OatLeast(_u12142), _u12144)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u12142), _u12143)) )).
% 39.91/40.14 cnf(matrix-5535, plain, ( ~class_Orderings_Oorder(_u12145) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12145, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u12145, _u12146), _u12147)), hAPP(c_SetInterval_Oord__class_OatLeast(_u12145), _u12147)) = c_Orderings_Obot__class_Obot(tc_fun(_u12145, tc_HOL_Obool))) )).
% 39.91/40.14 cnf(matrix-5536, 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))) )).
% 39.91/40.14 cnf(matrix-5537, plain, ( ~class_Orderings_Oorder(_u12148) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12148, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u12148, _u12149, _u12150)), hAPP(c_SetInterval_Oord__class_OatLeast(_u12148), _u12150)) = c_Orderings_Obot__class_Obot(tc_fun(_u12148, tc_HOL_Obool))) )).
% 39.91/40.14 cnf(matrix-5538, plain, ( ~class_Orderings_Olinorder(_u12151) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12151, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u12151), _u12152), c_Orderings_Obot__class_Obot(tc_fun(_u12151, tc_HOL_Obool)))), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12151), _u12152)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u12151), _u12152)) )).
% 39.91/40.14 cnf(matrix-5539, plain, ( ~class_Orderings_Olinorder(_u12153) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12153), _u12154), _u12155)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12153, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u12153, _u12154, _u12155)), hAPP(c_SetInterval_Oord__class_OatLeast(_u12153), _u12155)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12153), _u12154)) )).
% 39.91/40.14 cnf(matrix-5540, 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)), _u12156), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))), c_FunDef_Omin__weak)) )).
% 39.91/40.14 cnf(matrix-5541, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u12157)) | 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))), _u12157)), c_FunDef_Omax__weak)) )).
% 39.91/40.14 cnf(matrix-5542, 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))))) )).
% 39.91/40.14 cnf(matrix-5543, 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))))) )).
% 39.91/40.14 cnf(matrix-5544, 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)) )).
% 39.91/40.14 cnf(matrix-5545, plain, ( ( c_FunDef_Omax__strict = c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_FunDef_Opair__less)) )).
% 39.91/40.14 cnf(matrix-5546, plain, ( ~c_FunDef_Oreduction__pair(_u12158, _u12159) | c_FunDef_Oreduction__pair(_u12160, hAPP(hAPP(c_FunDef_Orp__inv__image(_u12158, _u12160), _u12159), _u12161)) )).
% 39.91/40.14 cnf(matrix-5547, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u12162, tc_HOL_Obool), tc_fun(_u12162, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u12162, tc_HOL_Obool), tc_fun(_u12162, tc_HOL_Obool)), _u12163), _u12164)), c_Wellfounded_Omax__ext(_u12162, _u12165))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u12162, tc_HOL_Obool), tc_fun(_u12162, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u12162, tc_HOL_Obool), tc_fun(_u12162, tc_HOL_Obool)), _u12166), _u12167)), c_Wellfounded_Omax__ext(_u12162, _u12165))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u12162, tc_HOL_Obool), tc_fun(_u12162, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u12162, tc_HOL_Obool), tc_fun(_u12162, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12162, tc_HOL_Obool)), _u12163), _u12166)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12162, tc_HOL_Obool)), _u12164), _u12167))), c_Wellfounded_Omax__ext(_u12162, _u12165))) )).
% 39.91/40.14 cnf(matrix-5548, plain, ( ( c_FunDef_Omin__strict = c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_FunDef_Opair__less)) )).
% 39.91/40.14 cnf(matrix-5549, 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)) )).
% 39.91/40.14 cnf(matrix-5550, plain, ( ~c_Wellfounded_Omax__extp(_u12172, hAPP(hAPP(c_COMBC(_u12172, tc_fun(tc_prod(_u12172, _u12172), tc_HOL_Obool), tc_fun(_u12172, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12172, tc_fun(tc_fun(tc_prod(_u12172, _u12172), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12172, _u12172), tc_HOL_Obool), tc_fun(_u12172, tc_HOL_Obool)), _u12172), c_COMBC(_u12172, tc_fun(tc_prod(_u12172, _u12172), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12172, tc_prod(_u12172, _u12172)), tc_fun(_u12172, tc_fun(tc_fun(tc_prod(_u12172, _u12172), tc_HOL_Obool), tc_HOL_Obool)), _u12172), hAPP(c_COMBB(tc_prod(_u12172, _u12172), tc_fun(tc_fun(tc_prod(_u12172, _u12172), tc_HOL_Obool), tc_HOL_Obool), _u12172), c_member(tc_prod(_u12172, _u12172)))), c_Product__Type_OPair(_u12172, _u12172)))), _u12174), _u12176, _u12178) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u12172, tc_HOL_Obool), tc_fun(_u12172, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u12172, tc_HOL_Obool), tc_fun(_u12172, tc_HOL_Obool)), _u12176), _u12178)), c_Wellfounded_Omax__ext(_u12172, _u12174))) )).
% 39.91/40.14 cnf(matrix-5551, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u12173, tc_HOL_Obool), tc_fun(_u12173, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u12173, tc_HOL_Obool), tc_fun(_u12173, tc_HOL_Obool)), _u12177), _u12179)), c_Wellfounded_Omax__ext(_u12173, _u12175))) | c_Wellfounded_Omax__extp(_u12173, hAPP(hAPP(c_COMBC(_u12173, tc_fun(tc_prod(_u12173, _u12173), tc_HOL_Obool), tc_fun(_u12173, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12173, tc_fun(tc_fun(tc_prod(_u12173, _u12173), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12173, _u12173), tc_HOL_Obool), tc_fun(_u12173, tc_HOL_Obool)), _u12173), c_COMBC(_u12173, tc_fun(tc_prod(_u12173, _u12173), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12173, tc_prod(_u12173, _u12173)), tc_fun(_u12173, tc_fun(tc_fun(tc_prod(_u12173, _u12173), tc_HOL_Obool), tc_HOL_Obool)), _u12173), hAPP(c_COMBB(tc_prod(_u12173, _u12173), tc_fun(tc_fun(tc_prod(_u12173, _u12173), tc_HOL_Obool), tc_HOL_Obool), _u12173), c_member(tc_prod(_u12173, _u12173)))), c_Product__Type_OPair(_u12173, _u12173)))), _u12175), _u12177, _u12179) )).
% 39.91/40.14 cnf(matrix-5552, 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)), _u12182), 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)), _u12184), 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)), _u12182), _u12184)), c_Int_Ointrel)) )).
% 39.91/40.14 cnf(matrix-5553, 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)), _u12183), _u12185)), 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)), _u12183), 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)), _u12185), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))))) )).
% 39.91/40.14 cnf(matrix-5554, 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), _u12188), _u12190)), c_Wellfounded_Oless__than)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u12188), _u12190)) )).
% 39.91/40.14 cnf(matrix-5555, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u12189), _u12191)) | 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), _u12189), _u12191)), c_Wellfounded_Oless__than)) )).
% 39.91/40.14 cnf(matrix-5556, 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) )).
% 39.91/40.14 cnf(matrix-5557, plain, ( ( c_FunDef_Opair__less = c_Wellfounded_Olex__prod(tc_Nat_Onat, tc_Nat_Onat, c_Wellfounded_Oless__than, c_Wellfounded_Oless__than)) )).
% 39.91/40.14 cnf(matrix-5558, plain, ( ( c_Wellfounded_Omeasure(_u12192) = hAPP(c_Relation_Oinv__image(tc_Nat_Onat, _u12192), c_Wellfounded_Oless__than)) )).
% 39.91/40.14 cnf(matrix-5559, plain, ( ( c_Wellfounded_Omlex__prod(_u12193, _u12194, _u12195) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat, _u12193), _u12193), c_Wellfounded_Olex__prod(tc_Nat_Onat, _u12193, c_Wellfounded_Oless__than, _u12195)), hAPP(hAPP(c_COMBS(_u12193, _u12193, tc_prod(tc_Nat_Onat, _u12193)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u12193, tc_prod(tc_Nat_Onat, _u12193)), _u12193), c_Product__Type_OPair(tc_Nat_Onat, _u12193)), _u12194)), c_COMBI(_u12193)))) )).
% 39.91/40.14 cnf(matrix-5560, 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), _u12200), _u12202)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u12204), _u12206))), c_Int_Ointrel)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12200), _u12206) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12204), _u12202)) )).
% 39.91/40.14 cnf(matrix-5561, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12201), _u12207) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12205), _u12203)) | 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), _u12201), _u12203)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u12205), _u12207))), c_Int_Ointrel)) )).
% 39.91/40.14 cnf(matrix-5562, plain, ( ~class_Rings_Oring__1(_u12208) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u12208), 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), _u12209), _u12210)), 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(_u12208), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u12208), _u12209)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u12208), _u12210))) )).
% 39.91/40.14 cnf(matrix-5563, 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)))))) )).
% 39.91/40.14 cnf(matrix-5564, 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), _u12211), _u12212)), 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), _u12213), _u12214)), 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), _u12211), _u12213)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u12212), _u12214))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u12211), _u12214)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u12212), _u12213)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 39.91/40.14 cnf(matrix-5565, plain, ( ( hAPP(c_Int_OAbs__Integ, hAPP(c_Int_ORep__Integ, _u12215)) = _u12215) )).
% 39.91/40.14 cnf(matrix-5566, 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), _u12216), _u12217)), 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), _u12217), _u12216)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 39.91/40.14 cnf(matrix-5567, 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)))))) )).
% 39.91/40.14 cnf(matrix-5568, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u12218) = 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), _u12218), 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)))))) )).
% 39.91/40.14 cnf(matrix-5569, 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), _u12219), _u12220)), 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), _u12221), _u12222)), 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), _u12219), _u12221)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12220), _u12222))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 39.91/40.14 cnf(matrix-5570, 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), _u12223), _u12224)), 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), _u12223), _u12224)) )).
% 39.91/40.14 cnf(matrix-5571, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u12225) = 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, _u12225)), 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)))))))) )).
% 39.91/40.14 cnf(matrix-5572, 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), _u12230), _u12232)), 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), _u12234), _u12236)), 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), _u12230), _u12236)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12234), _u12232))) )).
% 39.91/40.14 cnf(matrix-5573, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12231), _u12237)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12235), _u12233))) | 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), _u12231), _u12233)), 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), _u12235), _u12237)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))))))) )).
% 39.91/40.14 cnf(matrix-5574, 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), _u12242), _u12244)), 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), _u12246), _u12248)), 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), _u12242), _u12248)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12246), _u12244))) )).
% 39.91/40.14 cnf(matrix-5575, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12243), _u12249)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12247), _u12245))) | 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), _u12243), _u12245)), 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), _u12247), _u12249)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))))))) )).
% 39.91/40.14 cnf(matrix-5576, plain, ( ( _u12252 = 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), skolem226(_u12252)), skolem227(_u12252))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 39.91/40.14 cnf(matrix-5577, 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)) )).
% 39.91/40.14 cnf(matrix-5578, plain, ( ~class_Orderings_Olinorder(_u12255) | ( hAPP(_u12256, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u12255), skolem228(_u12257, _u12256, _u12255)), skolem229(_u12257, _u12256, _u12255))) != hAPP(hAPP(c_Orderings_Oord__class_Omin(_u12255), hAPP(_u12256, skolem228(_u12257, _u12256, _u12255))), hAPP(_u12256, skolem229(_u12257, _u12256, _u12255)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12255), _u12257)) | ( _u12257 = c_Orderings_Obot__class_Obot(tc_fun(_u12255, tc_HOL_Obool))) | ( hAPP(_u12256, c_Big__Operators_Olattice_OInf__fin(_u12255, c_Orderings_Oord__class_Omin(_u12255), _u12257)) = c_Big__Operators_Olattice_OInf__fin(_u12255, c_Orderings_Oord__class_Omin(_u12255), hAPP(c_Set_Oimage(_u12255, _u12255, _u12256), _u12257))) )).
% 39.91/40.14 cnf(matrix-5579, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), hAPP(c_Int_ORep__Integ, _u12258)), c_Int_OInteg)) )).
% 39.91/40.14 cnf(matrix-5580, 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) )).
% 39.91/40.14 cnf(matrix-5581, plain, ( ~class_Groups_Oab__group__add(_u12259) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u12260), _u12261)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12259), hAPP(hAPP(c_COMBS(tc_Nat_Onat, _u12259, _u12259), hAPP(hAPP(c_COMBB(_u12259, tc_fun(_u12259, _u12259), tc_Nat_Onat), c_Groups_Ominus__class_Ominus(_u12259)), _u12262)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u12259, tc_Nat_Onat), _u12262), 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, _u12260, _u12261)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u12259), hAPP(_u12262, _u12260)), hAPP(_u12262, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12261), c_Groups_Oone__class_Oone(tc_Nat_Onat))))) )).
% 39.91/40.14 cnf(matrix-5582, plain, ( ~class_Groups_Oab__group__add(_u12259) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u12260), _u12261)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12259), hAPP(hAPP(c_COMBS(tc_Nat_Onat, _u12259, _u12259), hAPP(hAPP(c_COMBB(_u12259, tc_fun(_u12259, _u12259), tc_Nat_Onat), c_Groups_Ominus__class_Ominus(_u12259)), _u12262)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u12259, tc_Nat_Onat), _u12262), 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, _u12260, _u12261)) = c_Groups_Ozero__class_Ozero(_u12259)) )).
% 39.91/40.14 cnf(matrix-5583, plain, ( ~class_Rings_Ocomm__semiring__1(_u12263) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12263), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12263), c_Groups_Oone__class_Oone(_u12263)), c_Groups_Oone__class_Oone(_u12263))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12263), c_Nat_Osemiring__1__class_Oof__nat(_u12263)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), _u12264))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12263), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u12263), _u12264)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12263), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u12263), _u12264)), c_Groups_Oone__class_Oone(_u12263)))) )).
% 39.91/40.14 cnf(matrix-5584, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u12265, _u12266))) )).
% 39.91/40.14 cnf(matrix-5585, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u12268), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u12273))) | hBOOL(hAPP(_u12275, _u12268)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem230(_u12275, _u12273)), _u12273)) )).
% 39.91/40.14 cnf(matrix-5586, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u12268), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u12273))) | hBOOL(hAPP(_u12275, _u12268)) | ~hBOOL(hAPP(_u12275, skolem230(_u12275, _u12273))) )).
% 39.91/40.14 cnf(matrix-5587, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u12270), _u12274)) | hBOOL(hAPP(_u12276, _u12270)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem231(_u12276, _u12274)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u12274))) )).
% 39.91/40.14 cnf(matrix-5588, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u12270), _u12274)) | hBOOL(hAPP(_u12276, _u12270)) | ~hBOOL(hAPP(_u12276, skolem231(_u12276, _u12274))) )).
% 39.91/40.14 cnf(matrix-5589, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u12277), _u12283)) | ~hBOOL(hAPP(_u12285, _u12277)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem232(_u12285, _u12283)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u12283))) )).
% 39.91/40.14 cnf(matrix-5590, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u12277), _u12283)) | ~hBOOL(hAPP(_u12285, _u12277)) | hBOOL(hAPP(_u12285, skolem232(_u12285, _u12283))) )).
% 39.91/40.14 cnf(matrix-5591, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u12279), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u12284))) | ~hBOOL(hAPP(_u12286, _u12279)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem233(_u12286, _u12284)), _u12284)) )).
% 39.91/40.14 cnf(matrix-5592, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u12279), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u12284))) | ~hBOOL(hAPP(_u12286, _u12279)) | hBOOL(hAPP(_u12286, skolem233(_u12286, _u12284))) )).
% 39.91/40.14 cnf(matrix-5593, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u12287), hAPP(c_Nat_OSuc, _u12288)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u12287, _u12288)) )).
% 39.91/40.14 cnf(matrix-5594, plain, ( ~class_Orderings_Oorder(_u12289) | ( c_Orderings_Obot__class_Obot(tc_fun(_u12289, tc_HOL_Obool)) != c_SetInterval_Oord__class_OatLeastAtMost(_u12289, _u12290, _u12291)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12289), _u12290), _u12291)) )).
% 39.91/40.14 cnf(matrix-5595, plain, ( ~class_Orderings_Oorder(_u12289) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12289), _u12290), _u12291)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u12289, tc_HOL_Obool)) = c_SetInterval_Oord__class_OatLeastAtMost(_u12289, _u12290, _u12291)) )).
% 39.91/40.14 cnf(matrix-5596, plain, ( ~class_Orderings_Oorder(_u12292) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u12292, _u12293, _u12294) != c_Orderings_Obot__class_Obot(tc_fun(_u12292, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12292), _u12293), _u12294)) )).
% 39.91/40.14 cnf(matrix-5597, plain, ( ~class_Orderings_Oorder(_u12292) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12292), _u12293), _u12294)) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u12292, _u12293, _u12294) = c_Orderings_Obot__class_Obot(tc_fun(_u12292, tc_HOL_Obool))) )).
% 39.91/40.14 cnf(matrix-5598, plain, ( ~class_Orderings_Oorder(_u12295) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12295), _u12296), _u12297)) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u12295, _u12297, _u12296) = c_Orderings_Obot__class_Obot(tc_fun(_u12295, tc_HOL_Obool))) )).
% 39.91/40.14 cnf(matrix-5599, plain, ( ~class_Orderings_Oorder(_u12298) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12298, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u12298, _u12299, _u12300)), c_SetInterval_Oord__class_OatLeastAtMost(_u12298, _u12301, _u12302))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12298), _u12299), _u12300)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12298), _u12301), _u12299)) )).
% 39.91/40.14 cnf(matrix-5600, plain, ( ~class_Orderings_Oorder(_u12298) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12298, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u12298, _u12299, _u12300)), c_SetInterval_Oord__class_OatLeastAtMost(_u12298, _u12301, _u12302))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12298), _u12299), _u12300)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12298), _u12300), _u12302)) )).
% 39.91/40.14 cnf(matrix-5601, plain, ( ~class_Orderings_Oorder(_u12298) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12298, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u12298, _u12299, _u12300)), c_SetInterval_Oord__class_OatLeastAtMost(_u12298, _u12301, _u12302))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12298), _u12299), _u12300)) )).
% 39.91/40.14 cnf(matrix-5602, plain, ( ~class_Orderings_Oorder(_u12298) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12298, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u12298, _u12299, _u12300)), c_SetInterval_Oord__class_OatLeastAtMost(_u12298, _u12301, _u12302))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12298), _u12301), _u12299)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12298), _u12300), _u12302)) )).
% 39.91/40.14 cnf(matrix-5603, plain, ( ~class_Orderings_Oorder(_u12303) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u12303, _u12304, _u12304) = hAPP(hAPP(c_Set_Oinsert(_u12303), _u12304), c_Orderings_Obot__class_Obot(tc_fun(_u12303, tc_HOL_Obool)))) )).
% 39.91/40.14 cnf(matrix-5604, plain, ( ~class_Orderings_Oorder(_u12305) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u12305, _u12306, _u12307) != hAPP(hAPP(c_Set_Oinsert(_u12305), _u12308), c_Orderings_Obot__class_Obot(tc_fun(_u12305, tc_HOL_Obool)))) | ( _u12306 = _u12307) )).
% 39.91/40.14 cnf(matrix-5605, plain, ( ~class_Orderings_Oorder(_u12305) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u12305, _u12306, _u12307) != hAPP(hAPP(c_Set_Oinsert(_u12305), _u12308), c_Orderings_Obot__class_Obot(tc_fun(_u12305, tc_HOL_Obool)))) | ( _u12307 = _u12308) )).
% 39.91/40.14 cnf(matrix-5606, plain, ( ~class_Orderings_Oorder(_u12305) | ( _u12306 != _u12307) | ( _u12307 != _u12308) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u12305, _u12306, _u12307) = hAPP(hAPP(c_Set_Oinsert(_u12305), _u12308), c_Orderings_Obot__class_Obot(tc_fun(_u12305, tc_HOL_Obool)))) )).
% 39.91/40.14 cnf(matrix-5607, plain, ( ~class_Orderings_Oorder(_u12309) | ( _u12310 != _u12311) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u12309, _u12310, _u12311) = hAPP(hAPP(c_Set_Oinsert(_u12309), _u12310), c_Orderings_Obot__class_Obot(tc_fun(_u12309, tc_HOL_Obool)))) )).
% 39.91/40.14 cnf(matrix-5608, plain, ( ~class_Groups_Oordered__ab__group__add(_u12312) | ( hAPP(c_Set_Oimage(_u12312, _u12312, c_Groups_Ouminus__class_Ouminus(_u12312)), c_SetInterval_Oord__class_OatLeastAtMost(_u12312, _u12313, _u12314)) = c_SetInterval_Oord__class_OatLeastAtMost(_u12312, hAPP(c_Groups_Ouminus__class_Ouminus(_u12312), _u12314), hAPP(c_Groups_Ouminus__class_Ouminus(_u12312), _u12313))) )).
% 39.91/40.14 cnf(matrix-5609, plain, ( ( hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Nat_Onat, c_Nat_OSuc), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u12315, _u12316)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u12315), hAPP(c_Nat_OSuc, _u12316))) )).
% 39.91/40.14 cnf(matrix-5610, plain, ( ~class_Groups_Ocomm__monoid__add(_u12317) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12317), _u12318), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u12319), hAPP(c_Nat_OSuc, _u12320))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12317), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u12317, tc_Nat_Onat), _u12318), c_Nat_OSuc)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u12319, _u12320))) )).
% 39.91/40.14 cnf(matrix-5611, plain, ( ~class_Groups_Ocomm__monoid__add(_u12321) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12321), _u12322), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12323), _u12324), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12325), _u12324))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12321), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u12321, tc_Nat_Onat), _u12322), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u12324))), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u12323, _u12325))) )).
% 39.91/40.14 cnf(matrix-5612, plain, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u12326), _u12327) = c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u12326, _u12327)) )).
% 39.91/40.14 cnf(matrix-5613, 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)), _u12328)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u12329, _u12330)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12329), _u12328), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12330), _u12328))) )).
% 39.91/40.14 cnf(matrix-5614, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u12331, _u12332)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u12332)), _u12331)) )).
% 39.91/40.14 cnf(matrix-5615, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u12333), hAPP(c_Nat_OSuc, _u12334))) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u12333, hAPP(c_Nat_OSuc, _u12334)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u12334)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u12333, _u12334))) )).
% 39.91/40.14 cnf(matrix-5616, plain, ( ( hAPP(_u12335, 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), _u12335), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u12336)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, tc_Nat_Onat), _u12335), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u12336))) )).
% 39.91/40.14 cnf(matrix-5617, plain, ( ~class_Orderings_Olinorder(_u12337) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12337), _u12338), _u12339)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12337), _u12339), _u12340)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12337, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u12337, _u12338), _u12339)), c_SetInterval_Oord__class_OatLeastAtMost(_u12337, _u12339, _u12340)) = c_SetInterval_Oord__class_OatLeastAtMost(_u12337, _u12338, _u12340)) )).
% 39.91/40.14 cnf(matrix-5618, plain, ( ~class_Orderings_Oorder(_u12341) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12341, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u12341, _u12342), _u12343)), c_SetInterval_Oord__class_OatLeastAtMost(_u12341, _u12343, _u12344)) = c_Orderings_Obot__class_Obot(tc_fun(_u12341, tc_HOL_Obool))) )).
% 39.91/40.14 cnf(matrix-5619, plain, ( ~class_Orderings_Olinorder(_u12345) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12345, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u12345, _u12346, _u12347)), c_SetInterval_Oord__class_OatLeastAtMost(_u12345, _u12348, _u12349)) = c_SetInterval_Oord__class_OatLeastAtMost(_u12345, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u12345), _u12346), _u12348), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u12345), _u12347), _u12349))) )).
% 39.91/40.14 cnf(matrix-5620, plain, ( ~class_Orderings_Oorder(_u12350) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u12350, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u12350, _u12351, _u12352)), c_SetInterval_Oord__class_OatLeastAtMost(_u12350, _u12353, _u12354))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12350), _u12351), _u12352)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12350), _u12353), _u12351)) )).
% 39.91/40.14 cnf(matrix-5621, plain, ( ~class_Orderings_Oorder(_u12350) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u12350, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u12350, _u12351, _u12352)), c_SetInterval_Oord__class_OatLeastAtMost(_u12350, _u12353, _u12354))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12350), _u12351), _u12352)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12350), _u12352), _u12354)) )).
% 39.91/40.14 cnf(matrix-5622, plain, ( ~class_Orderings_Oorder(_u12350) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u12350, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u12350, _u12351, _u12352)), c_SetInterval_Oord__class_OatLeastAtMost(_u12350, _u12353, _u12354))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12350), _u12351), _u12352)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12350), _u12353), _u12351)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12350), _u12352), _u12354)) )).
% 39.91/40.14 cnf(matrix-5623, plain, ( ~class_Orderings_Oorder(_u12350) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u12350, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u12350, _u12351, _u12352)), c_SetInterval_Oord__class_OatLeastAtMost(_u12350, _u12353, _u12354))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12350), _u12353), _u12354)) )).
% 39.91/40.14 cnf(matrix-5624, plain, ( ~class_Orderings_Oorder(_u12350) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u12350, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u12350, _u12351, _u12352)), c_SetInterval_Oord__class_OatLeastAtMost(_u12350, _u12353, _u12354))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12350), _u12353), _u12354)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12350), _u12351), _u12352)) )).
% 39.91/40.14 cnf(matrix-5625, plain, ( ~class_Orderings_Oorder(_u12350) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u12350, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u12350, _u12351, _u12352)), c_SetInterval_Oord__class_OatLeastAtMost(_u12350, _u12353, _u12354))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12350), _u12353), _u12354)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12350), _u12353), _u12351)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12350), _u12352), _u12354)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12350), _u12353), _u12351)) )).
% 39.91/40.14 cnf(matrix-5626, plain, ( ~class_Orderings_Oorder(_u12350) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u12350, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u12350, _u12351, _u12352)), c_SetInterval_Oord__class_OatLeastAtMost(_u12350, _u12353, _u12354))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12350), _u12353), _u12354)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12350), _u12353), _u12351)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12350), _u12352), _u12354)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12350), _u12352), _u12354)) )).
% 39.91/40.14 cnf(matrix-5627, plain, ( ~class_Orderings_Olinorder(_u12355) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12355), _u12356), _u12357)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12355), _u12357), _u12358)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12355, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u12355, _u12356, _u12357)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u12355, _u12357, _u12358)) = c_SetInterval_Oord__class_OatLeastAtMost(_u12355, _u12356, _u12358)) )).
% 39.91/40.14 cnf(matrix-5628, plain, ( ~class_Orderings_Oorder(_u12359) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12359, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u12359), _u12360)), c_SetInterval_Oord__class_OatLeastAtMost(_u12359, _u12360, _u12361)) = c_Orderings_Obot__class_Obot(tc_fun(_u12359, tc_HOL_Obool))) )).
% 39.91/40.14 cnf(matrix-5629, plain, ( ~class_Orderings_Oorder(_u12362) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12362, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u12362, _u12363, _u12364)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u12362, _u12364, _u12365)) = c_Orderings_Obot__class_Obot(tc_fun(_u12362, tc_HOL_Obool))) )).
% 39.91/40.14 cnf(matrix-5630, plain, ( ~class_Orderings_Oorder(_u12366) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12366, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u12366, _u12367, _u12368)), c_SetInterval_Oord__class_OatLeastAtMost(_u12366, _u12368, _u12369)) = c_Orderings_Obot__class_Obot(tc_fun(_u12366, tc_HOL_Obool))) )).
% 39.91/40.14 cnf(matrix-5631, plain, ( ~class_Orderings_Oorder(_u12370) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12370, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u12370, _u12371, _u12372)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u12370, _u12372, _u12373)) = c_Orderings_Obot__class_Obot(tc_fun(_u12370, tc_HOL_Obool))) )).
% 39.91/40.14 cnf(matrix-5632, plain, ( ~class_Orderings_Oorder(_u12374) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12374, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u12374, _u12375, _u12376)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12374), _u12376)) = c_Orderings_Obot__class_Obot(tc_fun(_u12374, tc_HOL_Obool))) )).
% 39.91/40.14 cnf(matrix-5633, plain, ( ~class_Orderings_Olinorder(_u12377) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12377, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u12377), _u12378)), c_SetInterval_Oord__class_OatLeastAtMost(_u12377, _u12379, _u12380)) = c_SetInterval_Oord__class_OatLeastAtMost(_u12377, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u12377), _u12378), _u12379), _u12380)) )).
% 39.91/40.14 cnf(matrix-5634, plain, ( ~class_Orderings_Olinorder(_u12381) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12381, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u12381, _u12382, _u12383)), hAPP(c_SetInterval_Oord__class_OatLeast(_u12381), _u12384)) = c_SetInterval_Oord__class_OatLeastAtMost(_u12381, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u12381), _u12382), _u12384), _u12383)) )).
% 39.91/40.14 cnf(matrix-5635, plain, ( ~class_Groups_Ocomm__monoid__add(_u12385) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u12386), _u12387)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12385), _u12388), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u12386, _u12387)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12385), hAPP(_u12388, _u12386)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12385), _u12388), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u12386), _u12387)))) )).
% 39.91/40.14 cnf(matrix-5636, plain, ( ~class_Groups_Ocomm__monoid__add(_u12389) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u12390)), _u12391)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12389), _u12392), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u12391, hAPP(c_Nat_OSuc, _u12390))) = c_Groups_Ozero__class_Ozero(_u12389)) )).
% 39.91/40.14 cnf(matrix-5637, plain, ( ~class_Groups_Ocomm__monoid__add(_u12389) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u12390)), _u12391)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12389), _u12392), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u12391, hAPP(c_Nat_OSuc, _u12390))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12389), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12389), _u12392), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u12391, _u12390))), hAPP(_u12392, hAPP(c_Nat_OSuc, _u12390)))) )).
% 39.91/40.14 cnf(matrix-5638, plain, ( ~class_Groups_Ocomm__monoid__add(_u12393) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u12394), _u12395)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12393), _u12396), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u12394, _u12395)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12393), hAPP(_u12396, _u12394)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12393), _u12396), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u12394, _u12395)))) )).
% 39.91/40.14 cnf(matrix-5639, plain, ( ~class_Groups_Ocomm__monoid__add(_u12397) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u12398), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12399), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12397), _u12400), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u12398, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12399), _u12401))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12397), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12397), _u12400), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u12398, _u12399))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12397), _u12400), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12399), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12399), _u12401))))) )).
% 39.91/40.14 cnf(matrix-5640, plain, ( ~class_Orderings_Olinorder(_u12402) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12402), _u12403), _u12404)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12402, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u12402, _u12403, _u12404)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12402), _u12404)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u12402), _u12403)) )).
% 39.91/40.14 cnf(matrix-5641, plain, ( ~class_Orderings_Olinorder(_u12405) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12405), _u12406), _u12407)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12405, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u12405, _u12406), _u12407)), hAPP(hAPP(c_Set_Oinsert(_u12405), _u12407), c_Orderings_Obot__class_Obot(tc_fun(_u12405, tc_HOL_Obool)))) = c_SetInterval_Oord__class_OatLeastAtMost(_u12405, _u12406, _u12407)) )).
% 39.91/40.14 cnf(matrix-5642, plain, ( ~class_Orderings_Olinorder(_u12408) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12408), _u12409), _u12410)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12408, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u12408), _u12409), c_Orderings_Obot__class_Obot(tc_fun(_u12408, tc_HOL_Obool)))), c_SetInterval_Oord__class_OgreaterThanAtMost(_u12408, _u12409, _u12410)) = c_SetInterval_Oord__class_OatLeastAtMost(_u12408, _u12409, _u12410)) )).
% 39.91/40.14 cnf(matrix-5643, plain, ( ~class_Orderings_Olinorder(_u12411) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12411), _u12412), _u12413)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12411), _u12413), _u12414)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12411, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u12411, _u12412, _u12413)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u12411, _u12413, _u12414)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u12411, _u12412), _u12414)) )).
% 39.91/40.14 cnf(matrix-5644, plain, ( ~class_Orderings_Olinorder(_u12415) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12415), _u12416), _u12417)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12415), _u12417), _u12418)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12415, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u12415, _u12416, _u12417)), c_SetInterval_Oord__class_OatLeastAtMost(_u12415, _u12417, _u12418)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u12415, _u12416, _u12418)) )).
% 39.91/40.14 cnf(matrix-5645, plain, ( ~c_Typedef_Otype__definition(_u12419, _u12420, _u12421, _u12422, _u12423) | ( hAPP(c_Set_Oimage(_u12419, _u12420, _u12421), c_Orderings_Otop__class_Otop(tc_fun(_u12419, tc_HOL_Obool))) = _u12423) )).
% 39.91/40.14 cnf(matrix-5646, plain, ( ~c_Typedef_Otype__definition(_u12424, _u12425, _u12426, _u12427, _u12428) | ( hAPP(c_Set_Oimage(_u12425, _u12424, _u12427), _u12428) = c_Orderings_Otop__class_Otop(tc_fun(_u12424, tc_HOL_Obool))) )).
% 39.91/40.14 cnf(matrix-5647, plain, ( hBOOL(hAPP(hAPP(c_member(_u12430), hAPP(_u12431, _u12434)), _u12433)) | ~c_Typedef_Otype__definition(_u12429, _u12430, _u12431, _u12432, _u12433) )).
% 39.91/40.14 cnf(matrix-5648, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u12435, _u12436))) )).
% 39.91/40.14 cnf(matrix-5649, plain, ( ~c_Nat__Transfer_Ois__nat(_u12437) | c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u12437, _u12438)) )).
% 39.91/40.14 cnf(matrix-5650, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12439)) | c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u12439, _u12440)) )).
% 39.91/40.14 cnf(matrix-5651, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u12441), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u12442), c_Groups_Oone__class_Oone(tc_Int_Oint))) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u12441, _u12442)) )).
% 39.91/40.14 cnf(matrix-5652, plain, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u12443), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u12444) = c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u12443, _u12444)) )).
% 39.91/40.14 cnf(matrix-5653, plain, ( ( hAPP(_u12448, hAPP(_u12447, _u12450)) = _u12450) | ~c_Typedef_Otype__definition(_u12445, _u12446, _u12447, _u12448, _u12449) )).
% 39.91/40.14 cnf(matrix-5654, plain, ( ~c_Typedef_Otype__definition(_u12451, _u12452, _u12453, _u12454, _u12455) | ( hAPP(_u12453, _u12456) != hAPP(_u12453, _u12457)) | ( _u12456 = _u12457) )).
% 39.91/40.14 cnf(matrix-5655, plain, ( ~c_Typedef_Otype__definition(_u12451, _u12452, _u12453, _u12454, _u12455) | ( _u12456 != _u12457) | ( hAPP(_u12453, _u12456) = hAPP(_u12453, _u12457)) )).
% 39.91/40.14 cnf(matrix-5656, plain, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u12458, _u12459) = 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), _u12458), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u12459)))) )).
% 39.91/40.14 cnf(matrix-5657, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u12462), _u12464)) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u12464, _u12462) = c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint, tc_HOL_Obool))) )).
% 39.91/40.14 cnf(matrix-5658, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u12463), _u12465)) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u12465, _u12463) = hAPP(hAPP(c_Set_Oinsert(tc_Int_Oint), _u12465), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u12465), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u12463))) )).
% 39.91/40.14 cnf(matrix-5659, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u12466, _u12467)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u12467), _u12466)), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 39.91/40.14 cnf(matrix-5660, plain, ( ~c_Nat__Transfer_Ois__nat(_u12468) | ~c_Nat__Transfer_Ois__nat(_u12469) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u12468, _u12469) = 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, _u12468), hAPP(c_Int_Onat, _u12469)))) )).
% 39.91/40.14 cnf(matrix-5661, plain, ( ~c_Typedef_Otype__definition(_u12470, _u12471, _u12472, _u12473, _u12474) | ~hBOOL(hAPP(hAPP(c_member(_u12471), _u12475), _u12474)) | ~hBOOL(hAPP(hAPP(c_member(_u12471), _u12476), _u12474)) | ( hAPP(_u12473, _u12475) != hAPP(_u12473, _u12476)) | ( _u12475 = _u12476) )).
% 39.91/40.14 cnf(matrix-5662, plain, ( ~c_Typedef_Otype__definition(_u12470, _u12471, _u12472, _u12473, _u12474) | ~hBOOL(hAPP(hAPP(c_member(_u12471), _u12475), _u12474)) | ~hBOOL(hAPP(hAPP(c_member(_u12471), _u12476), _u12474)) | ( _u12475 != _u12476) | ( hAPP(_u12473, _u12475) = hAPP(_u12473, _u12476)) )).
% 39.91/40.14 cnf(matrix-5663, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12478), _u12482), _u12481)) | ( hAPP(_u12479, hAPP(_u12480, _u12482)) = _u12482) | ~c_Typedef_Otype__definition(_u12477, _u12478, _u12479, _u12480, _u12481) )).
% 39.91/40.14 cnf(matrix-5664, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12486)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u12487), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u12488)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u12485), _u12487)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u12485), _u12486)), _u12487)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem234(_u12488, _u12487, _u12486, _u12485)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u12486))) )).
% 39.91/40.14 cnf(matrix-5665, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12486)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u12487), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u12488)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u12485), _u12487)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u12485), _u12486)), _u12487)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem235(_u12488, _u12487, _u12486, _u12485)), _u12488)) )).
% 39.91/40.14 cnf(matrix-5666, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12486)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u12487), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u12488)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u12485), _u12487)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u12485), _u12486)), _u12487)) | ( _u12485 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem235(_u12488, _u12487, _u12486, _u12485)), skolem234(_u12488, _u12487, _u12486, _u12485))) )).
% 39.91/40.14 cnf(matrix-5667, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12492)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u12493), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u12494)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u12493), _u12491)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u12493), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u12491), _u12492))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem236(_u12494, _u12493, _u12492, _u12491)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u12492))) )).
% 39.91/40.14 cnf(matrix-5668, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12492)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u12493), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u12494)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u12493), _u12491)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u12493), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u12491), _u12492))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem237(_u12494, _u12493, _u12492, _u12491)), _u12494)) )).
% 39.91/40.14 cnf(matrix-5669, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12492)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u12493), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u12494)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u12493), _u12491)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u12493), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u12491), _u12492))) | ( _u12491 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem237(_u12494, _u12493, _u12492, _u12491)), skolem236(_u12494, _u12493, _u12492, _u12491))) )).
% 39.91/40.14 cnf(matrix-5670, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12497)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u12498), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u12499)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u12498), _u12497) = _u12498) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem238(_u12499, _u12498, _u12497)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u12497))) )).
% 39.91/40.14 cnf(matrix-5671, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12497)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u12498), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u12499)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u12498), _u12497) = _u12498) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem239(_u12499, _u12498, _u12497)), _u12499)) )).
% 39.91/40.14 cnf(matrix-5672, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12497)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u12498), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u12499)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u12498), _u12497) = _u12498) | ( _u12498 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem239(_u12499, _u12498, _u12497)), skolem238(_u12499, _u12498, _u12497))) )).
% 39.91/40.14 cnf(matrix-5673, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12503)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u12504), _u12505)) | ( _u12502 = _u12504) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u12502), _u12503) != _u12504) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem240(_u12505, _u12504, _u12503, _u12502)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u12503))) )).
% 39.91/40.14 cnf(matrix-5674, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12503)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u12504), _u12505)) | ( _u12502 = _u12504) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u12502), _u12503) != _u12504) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem241(_u12505, _u12504, _u12503, _u12502)), _u12505)) )).
% 39.91/40.14 cnf(matrix-5675, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12503)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u12504), _u12505)) | ( _u12502 = _u12504) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u12502), _u12503) != _u12504) | ( _u12502 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem241(_u12505, _u12504, _u12503, _u12502)), skolem240(_u12505, _u12504, _u12503, _u12502))) )).
% 39.91/40.14 cnf(matrix-5676, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12509)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u12510), _u12511)) | ( _u12508 = _u12510) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u12508), _u12509) != _u12510) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem242(_u12511, _u12510, _u12509, _u12508)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u12509))) )).
% 39.91/40.14 cnf(matrix-5677, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12509)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u12510), _u12511)) | ( _u12508 = _u12510) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u12508), _u12509) != _u12510) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem243(_u12511, _u12510, _u12509, _u12508)), _u12511)) )).
% 39.91/40.14 cnf(matrix-5678, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12509)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u12510), _u12511)) | ( _u12508 = _u12510) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u12508), _u12509) != _u12510) | ( _u12508 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem243(_u12511, _u12510, _u12509, _u12508)), skolem242(_u12511, _u12510, _u12509, _u12508))) )).
% 39.91/40.14 cnf(matrix-5679, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12515)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u12516), _u12517)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u12516), _u12514)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u12516), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u12514), _u12515))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem244(_u12517, _u12516, _u12515, _u12514)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u12515))) )).
% 39.91/40.14 cnf(matrix-5680, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12515)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u12516), _u12517)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u12516), _u12514)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u12516), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u12514), _u12515))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem245(_u12517, _u12516, _u12515, _u12514)), _u12517)) )).
% 39.91/40.14 cnf(matrix-5681, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12515)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u12516), _u12517)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u12516), _u12514)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u12516), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u12514), _u12515))) | ( _u12514 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem245(_u12517, _u12516, _u12515, _u12514)), skolem244(_u12517, _u12516, _u12515, _u12514))) )).
% 39.91/40.14 cnf(matrix-5682, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12520)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u12521), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u12522)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u12521), _u12520) = _u12521) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem246(_u12522, _u12521, _u12520)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u12520))) )).
% 39.91/40.14 cnf(matrix-5683, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12520)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u12521), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u12522)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u12521), _u12520) = _u12521) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem247(_u12522, _u12521, _u12520)), _u12522)) )).
% 39.91/40.14 cnf(matrix-5684, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12520)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u12521), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u12522)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u12521), _u12520) = _u12521) | ( _u12521 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem247(_u12522, _u12521, _u12520)), skolem246(_u12522, _u12521, _u12520))) )).
% 39.91/40.14 cnf(matrix-5685, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12526)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u12527), _u12528)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u12525), _u12527)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u12525), _u12526)), _u12527)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem248(_u12528, _u12527, _u12526, _u12525)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u12526))) )).
% 39.91/40.14 cnf(matrix-5686, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12526)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u12527), _u12528)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u12525), _u12527)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u12525), _u12526)), _u12527)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem249(_u12528, _u12527, _u12526, _u12525)), _u12528)) )).
% 39.91/40.14 cnf(matrix-5687, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12526)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u12527), _u12528)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u12525), _u12527)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u12525), _u12526)), _u12527)) | ( _u12525 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem249(_u12528, _u12527, _u12526, _u12525)), skolem248(_u12528, _u12527, _u12526, _u12525))) )).
% 39.91/40.14 cnf(matrix-5688, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12532)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u12531), _u12534)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u12531), _u12532)), _u12534)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem250(_u12534, _u12533, _u12532, _u12531)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u12532))) )).
% 39.91/40.14 cnf(matrix-5689, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12532)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u12531), _u12534)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u12531), _u12532)), _u12534)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem251(_u12534, _u12533, _u12532, _u12531)), _u12533)) )).
% 39.91/40.14 cnf(matrix-5690, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12532)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u12531), _u12534)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u12531), _u12532)), _u12534)) | ( _u12531 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem251(_u12534, _u12533, _u12532, _u12531)), skolem250(_u12534, _u12533, _u12532, _u12531))) )).
% 39.91/40.14 cnf(matrix-5691, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12538)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u12540), _u12537)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u12540), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u12537), _u12538))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem252(_u12540, _u12539, _u12538, _u12537)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u12538))) )).
% 39.91/40.14 cnf(matrix-5692, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12538)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u12540), _u12537)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u12540), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u12537), _u12538))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem253(_u12540, _u12539, _u12538, _u12537)), _u12539)) )).
% 39.91/40.14 cnf(matrix-5693, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12538)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u12540), _u12537)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u12540), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u12537), _u12538))) | ( _u12537 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem253(_u12540, _u12539, _u12538, _u12537)), skolem252(_u12540, _u12539, _u12538, _u12537))) )).
% 39.91/40.14 cnf(matrix-5694, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12547)) | ~hBOOL(hAPP(_u12548, _u12543)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem258(_u12548, _u12547)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u12547))) | hBOOL(hAPP(_u12548, skolem254(_u12548, _u12547))) | ~hBOOL(hAPP(_u12548, skolem256(_u12548, _u12547))) )).
% 39.91/40.14 cnf(matrix-5695, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12547)) | ~hBOOL(hAPP(_u12548, _u12543)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem258(_u12548, _u12547)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u12547))) | hBOOL(hAPP(_u12548, skolem254(_u12548, _u12547))) | hBOOL(hAPP(_u12548, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem256(_u12548, _u12547)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem257(_u12548, _u12547)), _u12547)))) )).
% 39.91/40.14 cnf(matrix-5696, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12547)) | ~hBOOL(hAPP(_u12548, _u12543)) | hBOOL(hAPP(_u12548, skolem258(_u12548, _u12547))) | hBOOL(hAPP(_u12548, skolem254(_u12548, _u12547))) | ~hBOOL(hAPP(_u12548, skolem256(_u12548, _u12547))) )).
% 39.91/40.14 cnf(matrix-5697, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12547)) | ~hBOOL(hAPP(_u12548, _u12543)) | hBOOL(hAPP(_u12548, skolem258(_u12548, _u12547))) | hBOOL(hAPP(_u12548, skolem254(_u12548, _u12547))) | hBOOL(hAPP(_u12548, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem256(_u12548, _u12547)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem257(_u12548, _u12547)), _u12547)))) )).
% 39.91/40.14 cnf(matrix-5698, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12547)) | ~hBOOL(hAPP(_u12548, _u12543)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem258(_u12548, _u12547)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u12547))) | ~hBOOL(hAPP(_u12548, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem254(_u12548, _u12547)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem255(_u12548, _u12547)), _u12547)))) | ~hBOOL(hAPP(_u12548, skolem256(_u12548, _u12547))) )).
% 39.91/40.14 cnf(matrix-5699, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12547)) | ~hBOOL(hAPP(_u12548, _u12543)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem258(_u12548, _u12547)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u12547))) | ~hBOOL(hAPP(_u12548, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem254(_u12548, _u12547)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem255(_u12548, _u12547)), _u12547)))) | hBOOL(hAPP(_u12548, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem256(_u12548, _u12547)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem257(_u12548, _u12547)), _u12547)))) )).
% 39.91/40.14 cnf(matrix-5700, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12547)) | ~hBOOL(hAPP(_u12548, _u12543)) | hBOOL(hAPP(_u12548, skolem258(_u12548, _u12547))) | ~hBOOL(hAPP(_u12548, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem254(_u12548, _u12547)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem255(_u12548, _u12547)), _u12547)))) | ~hBOOL(hAPP(_u12548, skolem256(_u12548, _u12547))) )).
% 39.91/40.14 cnf(matrix-5701, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12547)) | ~hBOOL(hAPP(_u12548, _u12543)) | hBOOL(hAPP(_u12548, skolem258(_u12548, _u12547))) | ~hBOOL(hAPP(_u12548, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem254(_u12548, _u12547)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem255(_u12548, _u12547)), _u12547)))) | hBOOL(hAPP(_u12548, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem256(_u12548, _u12547)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem257(_u12548, _u12547)), _u12547)))) )).
% 39.91/40.14 cnf(matrix-5702, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12547)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u12545), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u12547))) | ~hBOOL(hAPP(_u12548, _u12545)) | hBOOL(hAPP(_u12548, skolem259(_u12548, _u12547))) | hBOOL(hAPP(_u12548, skolem254(_u12548, _u12547))) | ~hBOOL(hAPP(_u12548, skolem256(_u12548, _u12547))) )).
% 39.91/40.14 cnf(matrix-5703, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12547)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u12545), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u12547))) | ~hBOOL(hAPP(_u12548, _u12545)) | hBOOL(hAPP(_u12548, skolem259(_u12548, _u12547))) | hBOOL(hAPP(_u12548, skolem254(_u12548, _u12547))) | hBOOL(hAPP(_u12548, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem256(_u12548, _u12547)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem257(_u12548, _u12547)), _u12547)))) )).
% 39.91/40.14 cnf(matrix-5704, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12547)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u12545), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u12547))) | ~hBOOL(hAPP(_u12548, _u12545)) | hBOOL(hAPP(_u12548, skolem259(_u12548, _u12547))) | ~hBOOL(hAPP(_u12548, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem254(_u12548, _u12547)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem255(_u12548, _u12547)), _u12547)))) | ~hBOOL(hAPP(_u12548, skolem256(_u12548, _u12547))) )).
% 39.91/40.14 cnf(matrix-5705, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12547)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u12545), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u12547))) | ~hBOOL(hAPP(_u12548, _u12545)) | hBOOL(hAPP(_u12548, skolem259(_u12548, _u12547))) | ~hBOOL(hAPP(_u12548, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem254(_u12548, _u12547)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem255(_u12548, _u12547)), _u12547)))) | hBOOL(hAPP(_u12548, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem256(_u12548, _u12547)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem257(_u12548, _u12547)), _u12547)))) )).
% 39.91/40.14 cnf(matrix-5706, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12556)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u12558), _u12555)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u12558), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u12555), _u12556))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem260(_u12558, _u12557, _u12556, _u12555)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u12556))) )).
% 39.91/40.14 cnf(matrix-5707, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12556)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u12558), _u12555)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u12558), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u12555), _u12556))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem261(_u12558, _u12557, _u12556, _u12555)), _u12557)) )).
% 39.91/40.14 cnf(matrix-5708, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12556)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u12558), _u12555)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u12558), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u12555), _u12556))) | ( _u12555 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem261(_u12558, _u12557, _u12556, _u12555)), skolem260(_u12558, _u12557, _u12556, _u12555))) )).
% 39.91/40.14 cnf(matrix-5709, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12562)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u12561), _u12564)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u12561), _u12562)), _u12564)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem262(_u12564, _u12563, _u12562, _u12561)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u12562))) )).
% 39.91/40.14 cnf(matrix-5710, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12562)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u12561), _u12564)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u12561), _u12562)), _u12564)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem263(_u12564, _u12563, _u12562, _u12561)), _u12563)) )).
% 39.91/40.14 cnf(matrix-5711, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12562)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u12561), _u12564)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u12561), _u12562)), _u12564)) | ( _u12561 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem263(_u12564, _u12563, _u12562, _u12561)), skolem262(_u12564, _u12563, _u12562, _u12561))) )).
% 39.91/40.14 cnf(matrix-5712, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u12565, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u12566)), _u12567) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12565, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u12565, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), _u12566)), _u12567)), hAPP(_u12567, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 39.91/40.14 cnf(matrix-5713, plain, ( ( hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u12568) = 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), _u12568)))) )).
% 39.91/40.15 cnf(matrix-5714, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u12569))) )).
% 39.91/40.15 cnf(matrix-5715, plain, ( ~class_Orderings_Olinorder(_u12570) | ( hAPP(c_SetInterval_Oord__class_OatMost(_u12570), _u12571) != hAPP(c_SetInterval_Oord__class_OatMost(_u12570), _u12572)) | ( _u12571 = _u12572) )).
% 39.91/40.15 cnf(matrix-5716, plain, ( ~class_Orderings_Olinorder(_u12570) | ( _u12571 != _u12572) | ( hAPP(c_SetInterval_Oord__class_OatMost(_u12570), _u12571) = hAPP(c_SetInterval_Oord__class_OatMost(_u12570), _u12572)) )).
% 39.91/40.15 cnf(matrix-5717, plain, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u12573) = hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u12573)) )).
% 39.91/40.15 cnf(matrix-5718, plain, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u12574)) = hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u12574)) )).
% 39.91/40.15 cnf(matrix-5719, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u12575)) = hAPP(c_Nat_OSuc, _u12575)) )).
% 39.91/40.15 cnf(matrix-5720, plain, ( ( hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u12576)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u12576)), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u12576))) )).
% 39.91/40.15 cnf(matrix-5721, plain, ( ~class_Orderings_Oord(_u12577) | ~hBOOL(hAPP(hAPP(c_member(_u12577), _u12578), hAPP(c_SetInterval_Oord__class_OatMost(_u12577), _u12579))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12577), _u12578), _u12579)) )).
% 39.91/40.15 cnf(matrix-5722, plain, ( ~class_Orderings_Oord(_u12577) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12577), _u12578), _u12579)) | hBOOL(hAPP(hAPP(c_member(_u12577), _u12578), hAPP(c_SetInterval_Oord__class_OatMost(_u12577), _u12579))) )).
% 39.91/40.15 cnf(matrix-5723, plain, ( ~class_Orderings_Oorder(_u12580) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12580, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u12580), _u12581)), hAPP(c_SetInterval_Oord__class_OatMost(_u12580), _u12582))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12580), _u12581), _u12582)) )).
% 39.91/40.15 cnf(matrix-5724, plain, ( ~class_Orderings_Oorder(_u12580) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12580), _u12581), _u12582)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12580, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u12580), _u12581)), hAPP(c_SetInterval_Oord__class_OatMost(_u12580), _u12582))) )).
% 39.91/40.15 cnf(matrix-5725, plain, ( ~class_Orderings_Olinorder(_u12583) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12583, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u12583), _u12584)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12583), _u12584)) )).
% 39.91/40.15 cnf(matrix-5726, plain, ( ~class_Orderings_Olinorder(_u12585) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12585, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u12585), _u12586)) = hAPP(c_SetInterval_Oord__class_OatMost(_u12585), _u12586)) )).
% 39.91/40.15 cnf(matrix-5727, 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))) )).
% 39.91/40.15 cnf(matrix-5728, plain, ( ~class_Groups_Ocomm__monoid__add(_u12587) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12587), _u12588), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u12589))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12587), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u12587), _u12588), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u12589))), hAPP(_u12588, hAPP(c_Nat_OSuc, _u12589)))) )).
% 39.91/40.15 cnf(matrix-5729, 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)))) )).
% 39.91/40.15 cnf(matrix-5730, plain, ( ~class_Orderings_Olinorder(_u12590) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12590, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u12590, _u12591, _u12592)), hAPP(c_SetInterval_Oord__class_OatMost(_u12590), _u12593)) = c_SetInterval_Oord__class_OatLeastAtMost(_u12590, _u12591, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u12590), _u12592), _u12593))) )).
% 39.91/40.15 cnf(matrix-5731, plain, ( ~class_Orderings_Olinorder(_u12594) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12594, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u12594), _u12595)), c_SetInterval_Oord__class_OatLeastAtMost(_u12594, _u12596, _u12597)) = c_SetInterval_Oord__class_OatLeastAtMost(_u12594, _u12596, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u12594), _u12595), _u12597))) )).
% 39.91/40.15 cnf(matrix-5732, plain, ( ~class_Orderings_Olinorder(_u12598) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12598), _u12599), _u12600)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12598, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u12598), _u12599)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u12598, _u12599, _u12600)) = hAPP(c_SetInterval_Oord__class_OatMost(_u12598), _u12600)) )).
% 39.91/40.15 cnf(matrix-5733, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u12601, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u12602)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u12601, tc_HOL_Obool), tc_Nat_Onat), _u12603), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u12604))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u12601, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u12604, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12602), _u12604))), _u12603)) )).
% 39.91/40.15 cnf(matrix-5734, plain, ( ~class_Orderings_Oorder(_u12605) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12605, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u12605), _u12606)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u12605, _u12606, _u12607)) = c_Orderings_Obot__class_Obot(tc_fun(_u12605, tc_HOL_Obool))) )).
% 39.91/40.15 cnf(matrix-5735, plain, ( ~class_Orderings_Oorder(_u12608) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12608, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u12608), _u12609)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u12608, _u12609, _u12610)) = c_Orderings_Obot__class_Obot(tc_fun(_u12608, tc_HOL_Obool))) )).
% 39.91/40.15 cnf(matrix-5736, plain, ( ~class_Groups_Oordered__ab__group__add(_u12611) | ( hAPP(c_Set_Oimage(_u12611, _u12611, c_Groups_Ouminus__class_Ouminus(_u12611)), hAPP(c_SetInterval_Oord__class_OatMost(_u12611), _u12612)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u12611), hAPP(c_Groups_Ouminus__class_Ouminus(_u12611), _u12612))) )).
% 39.91/40.15 cnf(matrix-5737, plain, ( ~class_Groups_Oordered__ab__group__add(_u12613) | ( hAPP(c_Set_Oimage(_u12613, _u12613, c_Groups_Ouminus__class_Ouminus(_u12613)), hAPP(c_SetInterval_Oord__class_OatLeast(_u12613), _u12614)) = hAPP(c_SetInterval_Oord__class_OatMost(_u12613), hAPP(c_Groups_Ouminus__class_Ouminus(_u12613), _u12614))) )).
% 39.91/40.15 cnf(matrix-5738, plain, ( ~class_Orderings_Olinorder(_u12615) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12615, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u12615), _u12616)), hAPP(hAPP(c_Set_Oinsert(_u12615), _u12616), c_Orderings_Obot__class_Obot(tc_fun(_u12615, tc_HOL_Obool)))) = hAPP(c_SetInterval_Oord__class_OatMost(_u12615), _u12616)) )).
% 39.91/40.15 cnf(matrix-5739, plain, ( ~class_Orderings_Olinorder(_u12617) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12617), _u12618), _u12619)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12617, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u12617), _u12618)), c_SetInterval_Oord__class_OatLeastAtMost(_u12617, _u12618, _u12619)) = hAPP(c_SetInterval_Oord__class_OatMost(_u12617), _u12619)) )).
% 39.91/40.15 cnf(matrix-5740, plain, ( ~class_Orderings_Oorder(_u12620) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12620, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u12620), _u12621)), hAPP(c_SetInterval_Oord__class_OatLeast(_u12620), _u12621)) = hAPP(hAPP(c_Set_Oinsert(_u12620), _u12621), c_Orderings_Obot__class_Obot(tc_fun(_u12620, tc_HOL_Obool)))) )).
% 39.91/40.15 cnf(matrix-5741, plain, ( ~class_Orderings_Olinorder(_u12622) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12622), _u12623), _u12624)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12622, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u12622), _u12623)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u12622, _u12623, _u12624)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u12622), _u12624)) )).
% 39.91/40.15 cnf(matrix-5742, plain, ( ~class_Orderings_Olinorder(_u12627) | ( hAPP(_u12628, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u12627), skolem264(_u12629, _u12628, _u12627)), skolem265(_u12629, _u12628, _u12627))) != hAPP(hAPP(c_Orderings_Oord__class_Omax(_u12627), hAPP(_u12628, skolem264(_u12629, _u12628, _u12627))), hAPP(_u12628, skolem265(_u12629, _u12628, _u12627)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12627), _u12629)) | ( _u12629 = c_Orderings_Obot__class_Obot(tc_fun(_u12627, tc_HOL_Obool))) | ( hAPP(_u12628, c_Big__Operators_Olinorder__class_OMax(_u12627, _u12629)) = c_Big__Operators_Olinorder__class_OMax(_u12627, hAPP(c_Set_Oimage(_u12627, _u12627, _u12628), _u12629))) )).
% 39.91/40.15 cnf(matrix-5743, plain, ( ~class_Orderings_Olinorder(_u12632) | ( hAPP(_u12633, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u12632), skolem266(_u12634, _u12633, _u12632)), skolem267(_u12634, _u12633, _u12632))) != hAPP(hAPP(c_Orderings_Oord__class_Omin(_u12632), hAPP(_u12633, skolem266(_u12634, _u12633, _u12632))), hAPP(_u12633, skolem267(_u12634, _u12633, _u12632)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12632), _u12634)) | ( _u12634 = c_Orderings_Obot__class_Obot(tc_fun(_u12632, tc_HOL_Obool))) | ( hAPP(_u12633, c_Big__Operators_Olinorder__class_OMin(_u12632, _u12634)) = c_Big__Operators_Olinorder__class_OMin(_u12632, hAPP(c_Set_Oimage(_u12632, _u12632, _u12633), _u12634))) )).
% 39.91/40.15 cnf(matrix-5744, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12637)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12639)) | ~hBOOL(hAPP(_u12638, _u12636)) | hBOOL(hAPP(_u12638, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u12636), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u12639), _u12637)))) | hBOOL(hAPP(_u12638, skolem268(_u12639, _u12638, _u12637))) )).
% 39.91/40.15 cnf(matrix-5745, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12637)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12639)) | ~hBOOL(hAPP(_u12638, _u12636)) | hBOOL(hAPP(_u12638, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u12636), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u12639), _u12637)))) | ~hBOOL(hAPP(_u12638, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem268(_u12639, _u12638, _u12637)), _u12637))) )).
% 39.91/40.15 cnf(matrix-5746, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u12641), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u12641 = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, skolem269(_u12641))))) )).
% 39.91/40.15 cnf(matrix-5747, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12644)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12646)) | ~hBOOL(hAPP(_u12645, _u12643)) | hBOOL(hAPP(_u12645, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u12643), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u12646), _u12644)))) | hBOOL(hAPP(_u12645, skolem270(_u12646, _u12645, _u12644))) )).
% 39.91/40.15 cnf(matrix-5748, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12644)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12646)) | ~hBOOL(hAPP(_u12645, _u12643)) | hBOOL(hAPP(_u12645, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u12643), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u12646), _u12644)))) | ~hBOOL(hAPP(_u12645, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem270(_u12646, _u12645, _u12644)), _u12644))) )).
% 39.91/40.15 cnf(matrix-5749, plain, ( hBOOL(hAPP(_u12649, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u12649, _u12650)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem271(_u12650, _u12649)), _u12650)) )).
% 39.91/40.15 cnf(matrix-5750, plain, ( hBOOL(hAPP(_u12649, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u12649, _u12650)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u12647), skolem271(_u12650, _u12649))) | ~hBOOL(hAPP(_u12649, _u12647)) )).
% 39.91/40.15 cnf(matrix-5751, plain, ( hBOOL(hAPP(_u12649, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u12649, _u12650)) | hBOOL(hAPP(_u12649, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem271(_u12650, _u12649)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 39.91/40.15 cnf(matrix-5752, plain, ( ~class_Groups_Ocomm__monoid__mult(_u12652) | ~c_Fun_Oinj__on(_u12653, _u12654, _u12655, _u12656) | ( _u12657 != hAPP(c_Set_Oimage(_u12653, _u12654, _u12655), _u12656)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12654, _u12652), _u12659), _u12657) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12653, _u12652), _u12658), _u12656)) | hBOOL(hAPP(hAPP(c_member(_u12653), skolem272(_u12659, _u12658, _u12657, _u12656, _u12655, _u12654, _u12653, _u12652)), _u12656)) )).
% 39.91/40.15 cnf(matrix-5753, plain, ( ~class_Groups_Ocomm__monoid__mult(_u12652) | ~c_Fun_Oinj__on(_u12653, _u12654, _u12655, _u12656) | ( _u12657 != hAPP(c_Set_Oimage(_u12653, _u12654, _u12655), _u12656)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12654, _u12652), _u12659), _u12657) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12653, _u12652), _u12658), _u12656)) | ( hAPP(_u12658, skolem272(_u12659, _u12658, _u12657, _u12656, _u12655, _u12654, _u12653, _u12652)) != hAPP(hAPP(c_Fun_Ocomp(_u12654, _u12652, _u12653, _u12659), _u12655), skolem272(_u12659, _u12658, _u12657, _u12656, _u12655, _u12654, _u12653, _u12652))) )).
% 39.91/40.15 cnf(matrix-5754, plain, ( ~class_Groups_Ocomm__monoid__mult(_u12661) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12662), _u12663)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12662, tc_HOL_Obool)), _u12664), _u12663)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12662, _u12661), _u12665), _u12663) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12662, _u12661), _u12665), _u12664)) | hBOOL(hAPP(hAPP(c_member(_u12662), skolem273(_u12665, _u12664, _u12663, _u12662, _u12661)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12662, tc_HOL_Obool)), _u12663), _u12664))) )).
% 39.91/40.15 cnf(matrix-5755, plain, ( ~class_Groups_Ocomm__monoid__mult(_u12661) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12662), _u12663)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12662, tc_HOL_Obool)), _u12664), _u12663)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12662, _u12661), _u12665), _u12663) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12662, _u12661), _u12665), _u12664)) | ( hAPP(_u12665, skolem273(_u12665, _u12664, _u12663, _u12662, _u12661)) != c_Groups_Oone__class_Oone(_u12661)) )).
% 39.91/40.15 cnf(matrix-5756, plain, ( ~class_Groups_Ocomm__monoid__mult(_u12667) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12668), _u12669)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12668, tc_HOL_Obool)), _u12670), _u12669)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12668, _u12667), _u12671), _u12670) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12668, _u12667), _u12671), _u12669)) | hBOOL(hAPP(hAPP(c_member(_u12668), skolem274(_u12671, _u12670, _u12669, _u12668, _u12667)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12668, tc_HOL_Obool)), _u12669), _u12670))) )).
% 39.91/40.15 cnf(matrix-5757, plain, ( ~class_Groups_Ocomm__monoid__mult(_u12667) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12668), _u12669)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12668, tc_HOL_Obool)), _u12670), _u12669)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12668, _u12667), _u12671), _u12670) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12668, _u12667), _u12671), _u12669)) | ( hAPP(_u12671, skolem274(_u12671, _u12670, _u12669, _u12668, _u12667)) != c_Groups_Oone__class_Oone(_u12667)) )).
% 39.91/40.15 cnf(matrix-5758, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12673)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem275(_u12673))) )).
% 39.91/40.15 cnf(matrix-5759, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12673)) | ( _u12673 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem275(_u12673))) )).
% 39.91/40.15 cnf(matrix-5760, plain, ( ~class_Groups_Ocomm__monoid__add(_u12675) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12676), _u12677)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12676, tc_HOL_Obool)), _u12678), _u12677)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12676, _u12675), _u12679), _u12677) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12676, _u12675), _u12679), _u12678)) | hBOOL(hAPP(hAPP(c_member(_u12676), skolem276(_u12679, _u12678, _u12677, _u12676, _u12675)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12676, tc_HOL_Obool)), _u12677), _u12678))) )).
% 39.91/40.15 cnf(matrix-5761, plain, ( ~class_Groups_Ocomm__monoid__add(_u12675) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12676), _u12677)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12676, tc_HOL_Obool)), _u12678), _u12677)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12676, _u12675), _u12679), _u12677) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12676, _u12675), _u12679), _u12678)) | ( hAPP(_u12679, skolem276(_u12679, _u12678, _u12677, _u12676, _u12675)) != c_Groups_Ozero__class_Ozero(_u12675)) )).
% 39.91/40.15 cnf(matrix-5762, plain, ( ~class_Groups_Ocomm__monoid__add(_u12681) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12682), _u12683)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12682, tc_HOL_Obool)), _u12684), _u12683)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12682, _u12681), _u12685), _u12684) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12682, _u12681), _u12685), _u12683)) | hBOOL(hAPP(hAPP(c_member(_u12682), skolem277(_u12685, _u12684, _u12683, _u12682, _u12681)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12682, tc_HOL_Obool)), _u12683), _u12684))) )).
% 39.91/40.15 cnf(matrix-5763, plain, ( ~class_Groups_Ocomm__monoid__add(_u12681) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12682), _u12683)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12682, tc_HOL_Obool)), _u12684), _u12683)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12682, _u12681), _u12685), _u12684) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12682, _u12681), _u12685), _u12683)) | ( hAPP(_u12685, skolem277(_u12685, _u12684, _u12683, _u12682, _u12681)) != c_Groups_Ozero__class_Ozero(_u12681)) )).
% 39.91/40.15 cnf(matrix-5764, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u12687) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12687), _u12688), _u12689)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12687), c_Groups_Ozero__class_Ozero(_u12687)), skolem278(_u12689, _u12688, _u12687))) )).
% 39.91/40.15 cnf(matrix-5765, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u12687) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12687), _u12688), _u12689)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12687), skolem278(_u12689, _u12688, _u12687)), c_Groups_Oone__class_Oone(_u12687))) )).
% 39.91/40.15 cnf(matrix-5766, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u12687) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12687), _u12688), _u12689)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12687), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12687), skolem278(_u12689, _u12688, _u12687)), _u12688)), _u12689)) )).
% 39.91/40.15 cnf(matrix-5767, plain, ( ~class_Groups_Ocomm__monoid__add(_u12691) | ~class_Groups_Ocomm__monoid__mult(_u12691) | ( _u12692 != _u12693) | ~c_Nat__Transfer_Onat__set(_u12693) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u12691), _u12694), _u12692) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u12691), _u12695), _u12693)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem279(_u12695, _u12694, _u12693, _u12692, _u12691))) )).
% 39.91/40.15 cnf(matrix-5768, plain, ( ~class_Groups_Ocomm__monoid__add(_u12691) | ~class_Groups_Ocomm__monoid__mult(_u12691) | ( _u12692 != _u12693) | ~c_Nat__Transfer_Onat__set(_u12693) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u12691), _u12694), _u12692) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u12691), _u12695), _u12693)) | ( hAPP(_u12694, skolem279(_u12695, _u12694, _u12693, _u12692, _u12691)) != hAPP(_u12695, skolem279(_u12695, _u12694, _u12693, _u12692, _u12691))) )).
% 39.91/40.15 cnf(matrix-5769, plain, ( ~class_Rings_Olinordered__idom(_u12696) | ( c_Groups_Osgn__class_Osgn(_u12696, _u12697) != hAPP(c_Groups_Ouminus__class_Ouminus(_u12696), c_Groups_Oone__class_Oone(_u12696))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12696), _u12697), c_Groups_Ozero__class_Ozero(_u12696))) )).
% 39.91/40.15 cnf(matrix-5770, plain, ( ~class_Rings_Olinordered__idom(_u12696) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12696), _u12697), c_Groups_Ozero__class_Ozero(_u12696))) | ( c_Groups_Osgn__class_Osgn(_u12696, _u12697) = hAPP(c_Groups_Ouminus__class_Ouminus(_u12696), c_Groups_Oone__class_Oone(_u12696))) )).
% 39.91/40.15 cnf(matrix-5771, plain, ( ~class_Rings_Olinordered__idom(_u12698) | ( c_Groups_Osgn__class_Osgn(_u12698, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12698), _u12699), _u12700)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12698), c_Groups_Osgn__class_Osgn(_u12698, _u12699)), c_Groups_Osgn__class_Osgn(_u12698, _u12700))) )).
% 39.91/40.15 cnf(matrix-5772, plain, ( ~class_Rings_Olinordered__idom(_u12701) | ( c_Groups_Osgn__class_Osgn(_u12701, c_Groups_Osgn__class_Osgn(_u12701, _u12702)) = c_Groups_Osgn__class_Osgn(_u12701, _u12702)) )).
% 39.91/40.15 cnf(matrix-5773, plain, ( ~class_Groups_Osgn__if(_u12703) | ( c_Groups_Osgn__class_Osgn(_u12703, c_Groups_Ozero__class_Ozero(_u12703)) = c_Groups_Ozero__class_Ozero(_u12703)) )).
% 39.91/40.15 cnf(matrix-5774, plain, ( ~class_Rings_Olinordered__idom(_u12704) | ( c_Groups_Osgn__class_Osgn(_u12704, _u12705) != c_Groups_Ozero__class_Ozero(_u12704)) | ( _u12705 = c_Groups_Ozero__class_Ozero(_u12704)) )).
% 39.91/40.15 cnf(matrix-5775, plain, ( ~class_Rings_Olinordered__idom(_u12704) | ( _u12705 != c_Groups_Ozero__class_Ozero(_u12704)) | ( c_Groups_Osgn__class_Osgn(_u12704, _u12705) = c_Groups_Ozero__class_Ozero(_u12704)) )).
% 39.91/40.15 cnf(matrix-5776, plain, ( ~class_Rings_Olinordered__idom(_u12706) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12706), c_Groups_Ozero__class_Ozero(_u12706)), c_Groups_Osgn__class_Osgn(_u12706, _u12707))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12706), c_Groups_Ozero__class_Ozero(_u12706)), _u12707)) )).
% 39.91/40.15 cnf(matrix-5777, plain, ( ~class_Rings_Olinordered__idom(_u12706) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12706), c_Groups_Ozero__class_Ozero(_u12706)), _u12707)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12706), c_Groups_Ozero__class_Ozero(_u12706)), c_Groups_Osgn__class_Osgn(_u12706, _u12707))) )).
% 39.91/40.15 cnf(matrix-5778, plain, ( ~class_Rings_Olinordered__idom(_u12708) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12708), c_Groups_Osgn__class_Osgn(_u12708, _u12709)), c_Groups_Ozero__class_Ozero(_u12708))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12708), _u12709), c_Groups_Ozero__class_Ozero(_u12708))) )).
% 39.91/40.15 cnf(matrix-5779, plain, ( ~class_Rings_Olinordered__idom(_u12708) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12708), _u12709), c_Groups_Ozero__class_Ozero(_u12708))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12708), c_Groups_Osgn__class_Osgn(_u12708, _u12709)), c_Groups_Ozero__class_Ozero(_u12708))) )).
% 39.91/40.15 cnf(matrix-5780, plain, ( ~class_Rings_Olinordered__idom(_u12710) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12710), c_Groups_Ozero__class_Ozero(_u12710)), _u12711)) | ( c_Groups_Osgn__class_Osgn(_u12710, _u12711) = c_Groups_Oone__class_Oone(_u12710)) )).
% 39.91/40.15 cnf(matrix-5781, plain, ( ~class_Rings_Olinordered__idom(_u12712) | ( c_Groups_Osgn__class_Osgn(_u12712, _u12713) != c_Groups_Oone__class_Oone(_u12712)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12712), c_Groups_Ozero__class_Ozero(_u12712)), _u12713)) )).
% 39.91/40.15 cnf(matrix-5782, plain, ( ~class_Rings_Olinordered__idom(_u12712) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12712), c_Groups_Ozero__class_Ozero(_u12712)), _u12713)) | ( c_Groups_Osgn__class_Osgn(_u12712, _u12713) = c_Groups_Oone__class_Oone(_u12712)) )).
% 39.91/40.15 cnf(matrix-5783, plain, ( ( _u12715 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u12715) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 39.91/40.15 cnf(matrix-5784, plain, ( ( _u12716 = 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)), _u12716)) | ( c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u12716) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 39.91/40.15 cnf(matrix-5785, plain, ( ( _u12716 = 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)), _u12716)) | ( c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u12716) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 39.91/40.15 cnf(matrix-5786, plain, ( ~class_Groups_Osgn__if(_u12717) | ( _u12718 != c_Groups_Ozero__class_Ozero(_u12717)) | ( c_Groups_Osgn__class_Osgn(_u12717, _u12718) = c_Groups_Ozero__class_Ozero(_u12717)) )).
% 39.91/40.15 cnf(matrix-5787, plain, ( ~class_Groups_Osgn__if(_u12717) | ( _u12718 = c_Groups_Ozero__class_Ozero(_u12717)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12717), c_Groups_Ozero__class_Ozero(_u12717)), _u12718)) | ( c_Groups_Osgn__class_Osgn(_u12717, _u12718) = c_Groups_Oone__class_Oone(_u12717)) )).
% 39.91/40.15 cnf(matrix-5788, plain, ( ~class_Groups_Osgn__if(_u12717) | ( _u12718 = c_Groups_Ozero__class_Ozero(_u12717)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12717), c_Groups_Ozero__class_Ozero(_u12717)), _u12718)) | ( c_Groups_Osgn__class_Osgn(_u12717, _u12718) = hAPP(c_Groups_Ouminus__class_Ouminus(_u12717), c_Groups_Oone__class_Oone(_u12717))) )).
% 39.91/40.15 cnf(matrix-5789, plain, ( ~class_Rings_Olinordered__idom(_u12719) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12719), _u12720), c_Groups_Ozero__class_Ozero(_u12719))) | ( c_Groups_Osgn__class_Osgn(_u12719, _u12720) = hAPP(c_Groups_Ouminus__class_Ouminus(_u12719), c_Groups_Oone__class_Oone(_u12719))) )).
% 39.91/40.15 cnf(matrix-5790, plain, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(_u12721, _u12722, _u12723, c_Code__Numeral_OSuc__code__numeral(_u12724)) = hAPP(_u12723, _u12724)) )).
% 39.91/40.15 cnf(matrix-5791, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12725)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u12726), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u12727), 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), _u12727), _u12726))), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u12725)))) )).
% 39.91/40.15 cnf(matrix-5792, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12728)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u12729), 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), _u12729), _u12730))), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u12728))), _u12730)) )).
% 39.91/40.15 cnf(matrix-5793, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u12731) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12731), hAPP(c_Groups_Oabs__class_Oabs(_u12731), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12732, _u12731), _u12733), _u12734))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12732, _u12731), hAPP(hAPP(c_COMBB(_u12731, _u12731, _u12732), c_Groups_Oabs__class_Oabs(_u12731)), _u12733)), _u12734))) )).
% 39.91/40.15 cnf(matrix-5794, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u12735) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12735), c_Groups_Ozero__class_Ozero(_u12735)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12736, _u12735), hAPP(hAPP(c_COMBB(_u12735, _u12735, _u12736), c_Groups_Oabs__class_Oabs(_u12735)), _u12737)), _u12738))) )).
% 39.91/40.15 cnf(matrix-5795, plain, ( ~class_Rings_Olinordered__idom(_u12739) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12739), hAPP(hAPP(c_Power_Opower__class_Opower(_u12739), hAPP(c_Groups_Ouminus__class_Ouminus(_u12739), _u12740)), _u12741)) = hAPP(c_Groups_Oabs__class_Oabs(_u12739), hAPP(hAPP(c_Power_Opower__class_Opower(_u12739), _u12740), _u12741))) )).
% 39.91/40.15 cnf(matrix-5796, plain, ( ~class_Fields_Olinordered__field(_u12742) | ( _u12743 = c_Groups_Ozero__class_Ozero(_u12742)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12742), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12742), _u12744), _u12743)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12742), hAPP(c_Groups_Oabs__class_Oabs(_u12742), _u12744)), hAPP(c_Groups_Oabs__class_Oabs(_u12742), _u12743))) )).
% 39.91/40.15 cnf(matrix-5797, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u12745) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12745), hAPP(c_Groups_Oabs__class_Oabs(_u12745), _u12746)), _u12747)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12745), hAPP(c_Groups_Ouminus__class_Ouminus(_u12745), _u12746)), _u12747)) )).
% 39.91/40.15 cnf(matrix-5798, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u12748) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12748), _u12749), _u12750)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12748), hAPP(c_Groups_Ouminus__class_Ouminus(_u12748), _u12749)), _u12750)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12748), hAPP(c_Groups_Oabs__class_Oabs(_u12748), _u12749)), _u12750)) )).
% 39.91/40.15 cnf(matrix-5799, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u12751) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12751), hAPP(c_Groups_Oabs__class_Oabs(_u12751), _u12752)), _u12753)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12751), _u12752), _u12753)) )).
% 39.91/40.15 cnf(matrix-5800, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u12751) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12751), hAPP(c_Groups_Oabs__class_Oabs(_u12751), _u12752)), _u12753)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12751), hAPP(c_Groups_Ouminus__class_Ouminus(_u12751), _u12752)), _u12753)) )).
% 39.91/40.15 cnf(matrix-5801, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u12751) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12751), _u12752), _u12753)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12751), hAPP(c_Groups_Ouminus__class_Ouminus(_u12751), _u12752)), _u12753)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12751), hAPP(c_Groups_Oabs__class_Oabs(_u12751), _u12752)), _u12753)) )).
% 39.91/40.15 cnf(matrix-5802, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u12754) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12754), hAPP(c_Groups_Ouminus__class_Ouminus(_u12754), _u12755)), hAPP(c_Groups_Oabs__class_Oabs(_u12754), _u12755))) )).
% 39.91/40.15 cnf(matrix-5803, plain, ( ~class_Rings_Olinordered__idom(_u12756) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12756), hAPP(c_Groups_Oabs__class_Oabs(_u12756), _u12757)), _u12758)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12756), _u12757), _u12758)) )).
% 39.91/40.15 cnf(matrix-5804, plain, ( ~class_Rings_Olinordered__idom(_u12756) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12756), hAPP(c_Groups_Oabs__class_Oabs(_u12756), _u12757)), _u12758)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12756), hAPP(c_Groups_Ouminus__class_Ouminus(_u12756), _u12757)), _u12758)) )).
% 39.91/40.15 cnf(matrix-5805, plain, ( ~class_Rings_Olinordered__idom(_u12756) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12756), _u12757), _u12758)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12756), hAPP(c_Groups_Ouminus__class_Ouminus(_u12756), _u12757)), _u12758)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12756), hAPP(c_Groups_Oabs__class_Oabs(_u12756), _u12757)), _u12758)) )).
% 39.91/40.15 cnf(matrix-5806, plain, ( ~class_Rings_Olinordered__idom(_u12759) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12759), hAPP(c_Groups_Oabs__class_Oabs(_u12759), _u12760)), _u12761)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12759), hAPP(c_Groups_Oabs__class_Oabs(_u12759), _u12762)), _u12763)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12759), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12759), hAPP(c_Groups_Oabs__class_Oabs(_u12759), _u12760)), hAPP(c_Groups_Oabs__class_Oabs(_u12759), _u12762))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12759), _u12761), _u12763))) )).
% 39.91/40.15 cnf(matrix-5807, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u12764) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12764), hAPP(c_Groups_Oabs__class_Oabs(_u12764), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u12764), hAPP(c_Groups_Oabs__class_Oabs(_u12764), _u12765)), hAPP(c_Groups_Oabs__class_Oabs(_u12764), _u12766)))), hAPP(c_Groups_Oabs__class_Oabs(_u12764), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u12764), _u12765), _u12766)))) )).
% 39.91/40.15 cnf(matrix-5808, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u12767) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12767), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u12767), hAPP(c_Groups_Oabs__class_Oabs(_u12767), _u12768)), hAPP(c_Groups_Oabs__class_Oabs(_u12767), _u12769))), hAPP(c_Groups_Oabs__class_Oabs(_u12767), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u12767), _u12768), _u12769)))) )).
% 39.91/40.15 cnf(matrix-5809, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u12770) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12770), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u12770), hAPP(c_Groups_Oabs__class_Oabs(_u12770), _u12771)), hAPP(c_Groups_Oabs__class_Oabs(_u12770), _u12772))), hAPP(c_Groups_Oabs__class_Oabs(_u12770), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u12770), _u12772), _u12771)))) )).
% 39.91/40.15 cnf(matrix-5810, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u12773) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12773), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u12773), _u12774), _u12775)) = hAPP(c_Groups_Oabs__class_Oabs(_u12773), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u12773), _u12775), _u12774))) )).
% 39.91/40.15 cnf(matrix-5811, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u12776) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12776), _u12777) != c_Groups_Ozero__class_Ozero(_u12776)) | ( _u12777 = c_Groups_Ozero__class_Ozero(_u12776)) )).
% 39.91/40.15 cnf(matrix-5812, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u12776) | ( _u12777 != c_Groups_Ozero__class_Ozero(_u12776)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12776), _u12777) = c_Groups_Ozero__class_Ozero(_u12776)) )).
% 39.91/40.15 cnf(matrix-5813, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u12778) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12778), c_Groups_Ozero__class_Ozero(_u12778)) = c_Groups_Ozero__class_Ozero(_u12778)) )).
% 39.91/40.15 cnf(matrix-5814, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u12779) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12779), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12780, _u12779), hAPP(hAPP(c_COMBB(_u12779, _u12779, _u12780), c_Groups_Oabs__class_Oabs(_u12779)), _u12781)), _u12782)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12780, _u12779), hAPP(hAPP(c_COMBB(_u12779, _u12779, _u12780), c_Groups_Oabs__class_Oabs(_u12779)), _u12781)), _u12782)) )).
% 39.91/40.15 cnf(matrix-5815, plain, ( ~class_Rings_Olinordered__idom(_u12783) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12783), hAPP(hAPP(c_Power_Opower__class_Opower(_u12783), _u12784), _u12785)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u12783), hAPP(c_Groups_Oabs__class_Oabs(_u12783), _u12784)), _u12785)) )).
% 39.91/40.15 cnf(matrix-5816, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u12786) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12786), hAPP(c_Groups_Ouminus__class_Ouminus(_u12786), _u12787)) = hAPP(c_Groups_Oabs__class_Oabs(_u12786), _u12787)) )).
% 39.91/40.15 cnf(matrix-5817, plain, ( ~class_Rings_Olinordered__idom(_u12788) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12788), hAPP(c_Groups_Oabs__class_Oabs(_u12788), _u12789)), hAPP(c_Groups_Oabs__class_Oabs(_u12788), _u12789)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12788), _u12789), _u12789)) )).
% 39.91/40.15 cnf(matrix-5818, plain, ( ~class_Rings_Olinordered__idom(_u12790) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12790), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12790), _u12791), _u12792)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12790), hAPP(c_Groups_Oabs__class_Oabs(_u12790), _u12791)), hAPP(c_Groups_Oabs__class_Oabs(_u12790), _u12792))) )).
% 39.91/40.15 cnf(matrix-5819, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u12793) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12793), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12793), hAPP(c_Groups_Oabs__class_Oabs(_u12793), _u12794)), hAPP(c_Groups_Oabs__class_Oabs(_u12793), _u12795))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12793), hAPP(c_Groups_Oabs__class_Oabs(_u12793), _u12794)), hAPP(c_Groups_Oabs__class_Oabs(_u12793), _u12795))) )).
% 39.91/40.15 cnf(matrix-5820, plain, ( ~class_Rings_Olinordered__idom(_u12796) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12796), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u12796), _u12797)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u12796), _u12797)) )).
% 39.91/40.15 cnf(matrix-5821, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u12798) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12798), hAPP(c_Groups_Oabs__class_Oabs(_u12798), _u12799)) = hAPP(c_Groups_Oabs__class_Oabs(_u12798), _u12799)) )).
% 39.91/40.15 cnf(matrix-5822, plain, ( ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u12800)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u12800)) )).
% 39.91/40.15 cnf(matrix-5823, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u12801) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12801), hAPP(c_Groups_Oabs__class_Oabs(_u12801), _u12802)), _u12803)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12801), _u12802), _u12803)) )).
% 39.91/40.15 cnf(matrix-5824, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u12804) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12804), _u12805), hAPP(c_Groups_Oabs__class_Oabs(_u12804), _u12805))) )).
% 39.91/40.15 cnf(matrix-5825, plain, ( ~class_Fields_Olinordered__field(_u12806) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12806), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12807, _u12806), _u12808), _u12809)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12807, _u12806), hAPP(hAPP(c_COMBB(_u12806, _u12806, _u12807), c_Groups_Oabs__class_Oabs(_u12806)), _u12808)), _u12809)) )).
% 39.91/40.15 cnf(matrix-5826, plain, ( ~class_Rings_Olinordered__idom(_u12810) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12810), c_Groups_Oone__class_Oone(_u12810)) = c_Groups_Oone__class_Oone(_u12810)) )).
% 39.91/40.15 cnf(matrix-5827, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u12811) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12811), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12811), _u12812), _u12813)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12811), hAPP(c_Groups_Oabs__class_Oabs(_u12811), _u12812)), hAPP(c_Groups_Oabs__class_Oabs(_u12811), _u12813))) )).
% 39.91/40.15 cnf(matrix-5828, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u12814) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12814), c_Groups_Ozero__class_Ozero(_u12814)), _u12815)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12814), _u12815) = _u12815) )).
% 39.91/40.15 cnf(matrix-5829, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u12816) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12816), c_Groups_Ozero__class_Ozero(_u12816)), hAPP(c_Groups_Oabs__class_Oabs(_u12816), _u12817))) | ( _u12817 != c_Groups_Ozero__class_Ozero(_u12816)) )).
% 39.91/40.15 cnf(matrix-5830, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u12816) | ( _u12817 = c_Groups_Ozero__class_Ozero(_u12816)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12816), c_Groups_Ozero__class_Ozero(_u12816)), hAPP(c_Groups_Oabs__class_Oabs(_u12816), _u12817))) )).
% 39.91/40.15 cnf(matrix-5831, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u12818) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12818), hAPP(c_Groups_Oabs__class_Oabs(_u12818), _u12819)), c_Groups_Ozero__class_Ozero(_u12818))) )).
% 39.91/40.15 cnf(matrix-5832, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u12820) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12820), c_Groups_Ozero__class_Ozero(_u12820)), _u12821)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12820), _u12821) = _u12821) )).
% 39.91/40.15 cnf(matrix-5833, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u12822) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12822), hAPP(c_Groups_Oabs__class_Oabs(_u12822), _u12823)), c_Groups_Ozero__class_Ozero(_u12822))) | ( _u12823 = c_Groups_Ozero__class_Ozero(_u12822)) )).
% 39.91/40.15 cnf(matrix-5834, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u12822) | ( _u12823 != c_Groups_Ozero__class_Ozero(_u12822)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12822), hAPP(c_Groups_Oabs__class_Oabs(_u12822), _u12823)), c_Groups_Ozero__class_Ozero(_u12822))) )).
% 39.91/40.15 cnf(matrix-5835, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u12824) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12824), c_Groups_Ozero__class_Ozero(_u12824)), hAPP(c_Groups_Oabs__class_Oabs(_u12824), _u12825))) )).
% 39.91/40.15 cnf(matrix-5836, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u12826) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12826), hAPP(c_Groups_Oabs__class_Oabs(_u12826), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12826), _u12827), _u12828))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12826), hAPP(c_Groups_Oabs__class_Oabs(_u12826), _u12827)), hAPP(c_Groups_Oabs__class_Oabs(_u12826), _u12828)))) )).
% 39.91/40.15 cnf(matrix-5837, plain, ( ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u12829), _u12830)) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u12829) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 39.91/40.15 cnf(matrix-5838, plain, ( ~class_Rings_Olinordered__idom(_u12831) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12831), _u12832) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12831), _u12832), c_Groups_Osgn__class_Osgn(_u12831, _u12832))) )).
% 39.91/40.15 cnf(matrix-5839, plain, ( ~class_Rings_Olinordered__idom(_u12833) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12833), c_Groups_Osgn__class_Osgn(_u12833, _u12834)), hAPP(c_Groups_Oabs__class_Oabs(_u12833), _u12834)) = _u12834) )).
% 39.91/40.15 cnf(matrix-5840, plain, ( ~class_Rings_Oordered__ring__abs(_u12835) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12835), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12835), _u12836), _u12837)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12835), hAPP(c_Groups_Oabs__class_Oabs(_u12835), _u12836)), hAPP(c_Groups_Oabs__class_Oabs(_u12835), _u12837))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12835), c_Groups_Ozero__class_Ozero(_u12835)), _u12836)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12835), c_Groups_Ozero__class_Ozero(_u12835)), _u12837)) )).
% 39.91/40.15 cnf(matrix-5841, plain, ( ~class_Rings_Oordered__ring__abs(_u12835) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12835), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12835), _u12836), _u12837)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12835), hAPP(c_Groups_Oabs__class_Oabs(_u12835), _u12836)), hAPP(c_Groups_Oabs__class_Oabs(_u12835), _u12837))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12835), c_Groups_Ozero__class_Ozero(_u12835)), _u12836)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12835), _u12837), c_Groups_Ozero__class_Ozero(_u12835))) )).
% 39.91/40.15 cnf(matrix-5842, plain, ( ~class_Rings_Oordered__ring__abs(_u12835) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12835), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12835), _u12836), _u12837)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12835), hAPP(c_Groups_Oabs__class_Oabs(_u12835), _u12836)), hAPP(c_Groups_Oabs__class_Oabs(_u12835), _u12837))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12835), _u12836), c_Groups_Ozero__class_Ozero(_u12835))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12835), c_Groups_Ozero__class_Ozero(_u12835)), _u12837)) )).
% 39.91/40.15 cnf(matrix-5843, plain, ( ~class_Rings_Oordered__ring__abs(_u12835) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12835), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12835), _u12836), _u12837)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12835), hAPP(c_Groups_Oabs__class_Oabs(_u12835), _u12836)), hAPP(c_Groups_Oabs__class_Oabs(_u12835), _u12837))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12835), _u12836), c_Groups_Ozero__class_Ozero(_u12835))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12835), _u12837), c_Groups_Ozero__class_Ozero(_u12835))) )).
% 39.91/40.15 cnf(matrix-5844, plain, ( ~class_Rings_Olinordered__idom(_u12838) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12838), c_Groups_Ozero__class_Ozero(_u12838)), _u12839)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12838), hAPP(c_Groups_Oabs__class_Oabs(_u12838), _u12840)), _u12839) = hAPP(c_Groups_Oabs__class_Oabs(_u12838), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12838), _u12840), _u12839))) )).
% 39.91/40.15 cnf(matrix-5845, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u12841) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12841), hAPP(c_Groups_Oabs__class_Oabs(_u12841), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u12841), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12841), _u12842), _u12843)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12841), _u12844), _u12845)))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12841), hAPP(c_Groups_Oabs__class_Oabs(_u12841), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u12841), _u12842), _u12844))), hAPP(c_Groups_Oabs__class_Oabs(_u12841), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u12841), _u12843), _u12845))))) )).
% 39.91/40.15 cnf(matrix-5846, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u12846) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12846), hAPP(c_Groups_Oabs__class_Oabs(_u12846), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u12846), _u12847), _u12848))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12846), hAPP(c_Groups_Oabs__class_Oabs(_u12846), _u12847)), hAPP(c_Groups_Oabs__class_Oabs(_u12846), _u12848)))) )).
% 39.91/40.15 cnf(matrix-5847, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u12849) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12849), hAPP(c_Groups_Ouminus__class_Ouminus(_u12849), hAPP(c_Groups_Oabs__class_Oabs(_u12849), _u12850))), c_Groups_Ozero__class_Ozero(_u12849))) )).
% 39.91/40.15 cnf(matrix-5848, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u12851) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12851), _u12852), c_Groups_Ozero__class_Ozero(_u12851))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12851), _u12852) = hAPP(c_Groups_Ouminus__class_Ouminus(_u12851), _u12852)) )).
% 39.91/40.15 cnf(matrix-5849, plain, ( ~class_Groups_Oabs__if(_u12853) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12853), _u12854), c_Groups_Ozero__class_Ozero(_u12853))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12853), _u12854) = hAPP(c_Groups_Ouminus__class_Ouminus(_u12853), _u12854)) )).
% 39.91/40.15 cnf(matrix-5850, plain, ( ~class_Groups_Oabs__if(_u12853) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12853), _u12854), c_Groups_Ozero__class_Ozero(_u12853))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12853), _u12854) = _u12854) )).
% 39.91/40.15 cnf(matrix-5851, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u12855) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12855), _u12856), c_Groups_Ozero__class_Ozero(_u12855))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12855), _u12856) = hAPP(c_Groups_Ouminus__class_Ouminus(_u12855), _u12856)) )).
% 39.91/40.15 cnf(matrix-5852, plain, ( ~class_Rings_Olinordered__idom(_u12857) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u12857), c_Groups_Ozero__class_Ozero(_u12857)), hAPP(hAPP(c_Power_Opower__class_Opower(_u12857), hAPP(c_Groups_Oabs__class_Oabs(_u12857), _u12858)), _u12859))) )).
% 39.91/40.15 cnf(matrix-5853, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u12860) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12860), c_Groups_Ozero__class_Ozero(_u12860)), _u12861)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12860), hAPP(c_Groups_Oabs__class_Oabs(_u12860), _u12862)), _u12861) = hAPP(c_Groups_Oabs__class_Oabs(_u12860), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u12860), _u12862), _u12861))) )).
% 39.91/40.15 cnf(matrix-5854, plain, ( ~class_Int_Onumber__ring(_u12863) | ~class_Rings_Olinordered__idom(_u12863) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12863), hAPP(c_Int_Onumber__class_Onumber__of(_u12863), c_Int_OMin)) = c_Groups_Oone__class_Oone(_u12863)) )).
% 39.91/40.15 cnf(matrix-5855, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u12865)), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ( _u12865 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 39.91/40.15 cnf(matrix-5856, plain, ( ( _u12866 != 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), _u12866)), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 39.91/40.15 cnf(matrix-5857, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u12868), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u12868) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u12868)) )).
% 39.91/40.15 cnf(matrix-5858, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u12869), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u12869) = _u12869) )).
% 39.91/40.15 cnf(matrix-5859, plain, ( ( hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u12870), _u12871))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u12870))), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u12871)))) )).
% 39.91/40.15 cnf(matrix-5860, 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), _u12872)), _u12873))) )).
% 39.91/40.15 cnf(matrix-5861, plain, ( ~class_Int_Onumber__ring(_u12874) | ~class_Rings_Olinordered__idom(_u12874) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12874), hAPP(c_Int_Onumber__class_Onumber__of(_u12874), _u12875)), c_Groups_Ozero__class_Ozero(_u12874))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12874), hAPP(c_Int_Onumber__class_Onumber__of(_u12874), _u12875)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u12874), hAPP(c_Int_Onumber__class_Onumber__of(_u12874), _u12875))) )).
% 39.91/40.15 cnf(matrix-5862, plain, ( ~class_Int_Onumber__ring(_u12874) | ~class_Rings_Olinordered__idom(_u12874) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u12874), hAPP(c_Int_Onumber__class_Onumber__of(_u12874), _u12875)), c_Groups_Ozero__class_Ozero(_u12874))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12874), hAPP(c_Int_Onumber__class_Onumber__of(_u12874), _u12875)) = hAPP(c_Int_Onumber__class_Onumber__of(_u12874), _u12875)) )).
% 39.91/40.15 cnf(matrix-5863, plain, ( ~class_Int_Onumber__ring(_u12876) | ~class_Rings_Olinordered__idom(_u12876) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12876), hAPP(hAPP(c_Power_Opower__class_Opower(_u12876), hAPP(c_Int_Onumber__class_Onumber__of(_u12876), c_Int_OMin)), _u12877)) = c_Groups_Oone__class_Oone(_u12876)) )).
% 39.91/40.15 cnf(matrix-5864, 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), _u12880)), _u12882))) | ( _u12880 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u12882 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.15 cnf(matrix-5865, 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), _u12881)), _u12883))) | ( _u12881 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 39.91/40.15 cnf(matrix-5866, 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), _u12881)), _u12883))) | ( _u12883 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.91/40.15 cnf(matrix-5867, plain, ( ~class_Rings_Olinordered__idom(_u12884) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u12884), hAPP(c_Groups_Oabs__class_Oabs(_u12884), _u12885)), 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(_u12884), _u12885), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 39.91/40.15 cnf(matrix-5868, plain, ( ~class_Rings_Olinordered__idom(_u12886) | ( hAPP(c_Groups_Oabs__class_Oabs(_u12886), hAPP(hAPP(c_Power_Opower__class_Opower(_u12886), _u12887), 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(_u12886), _u12887), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 39.91/40.15 cnf(matrix-5869, plain, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(_u12888, _u12889, _u12890, c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = _u12889) )).
% 39.91/40.15 cnf(matrix-5870, plain, ( ( _u12893 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u12893, _u12895) = 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))) )).
% 39.91/40.15 cnf(matrix-5871, plain, ( ( _u12894 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u12896 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u12894, _u12896) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12894)) )).
% 39.91/40.15 cnf(matrix-5872, plain, ( ( _u12894 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u12896 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u12894, _u12896) = 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, _u12896))), 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)), _u12896)), hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12894))), hAPP(hAPP(c_fconj, hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u12896), c_Groups_Ozero__class_Ozero(tc_Int_Oint))), hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u12894), c_Groups_Ozero__class_Ozero(tc_Int_Oint))))), c_Divides_Opdivmod(_u12894, _u12896)), 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), _u12896))))), c_Divides_Opdivmod(_u12894, _u12896))))) )).
% 39.91/40.15 cnf(matrix-5873, plain, ( ( hAPP(hAPP(c_Nitpick_Oint__gcd, _u12897), _u12898) = 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), _u12897)), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u12898))))) )).
% 39.91/40.15 cnf(matrix-5874, plain, ( ( _u12901 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u12901, _u12903) = 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))) )).
% 39.91/40.15 cnf(matrix-5875, plain, ( ( _u12902 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u12904 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u12902, _u12904) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12902)) )).
% 39.91/40.15 cnf(matrix-5876, plain, ( ( _u12902 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u12904 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u12902, _u12904) = 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, _u12904))), 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, _u12902)), c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u12904))), c_Divides_Opdivmod(_u12902, _u12904)), 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), _u12904))))), c_Divides_Opdivmod(_u12902, _u12904))))) )).
% 39.91/40.15 cnf(matrix-5877, plain, ( ( hAPP(c_Product__Type_Oapsnd(_u12905, _u12906, _u12907, _u12908), hAPP(hAPP(c_Product__Type_OPair(_u12907, _u12905), _u12909), _u12910)) = hAPP(hAPP(c_Product__Type_OPair(_u12907, _u12906), _u12909), hAPP(_u12908, _u12910))) )).
% 39.91/40.15 cnf(matrix-5878, plain, ( ( hAPP(c_Product__Type_Oapsnd(_u12911, _u12912, _u12913, _u12914), hAPP(c_Product__Type_Oapsnd(_u12915, _u12911, _u12913, _u12916), _u12917)) = hAPP(c_Product__Type_Oapsnd(_u12915, _u12912, _u12913, hAPP(c_Fun_Ocomp(_u12911, _u12912, _u12915, _u12914), _u12916)), _u12917)) )).
% 39.91/40.15 cnf(matrix-5879, plain, ( ( hAPP(c_Product__Type_Ofst(_u12918, _u12919), hAPP(c_Product__Type_Oapsnd(_u12920, _u12919, _u12918, _u12921), _u12922)) = hAPP(c_Product__Type_Ofst(_u12918, _u12920), _u12922)) )).
% 39.91/40.15 cnf(matrix-5880, plain, ( ( hAPP(c_Product__Type_Osnd(_u12923, _u12924), hAPP(c_Product__Type_Oapsnd(_u12925, _u12924, _u12923, _u12926), _u12927)) = hAPP(_u12926, hAPP(c_Product__Type_Osnd(_u12923, _u12925), _u12927))) )).
% 39.91/40.15 cnf(matrix-5881, plain, ( ( hAPP(c_Product__Type_Oapsnd(_u12934, _u12936, _u12938, _u12940), _u12942) != hAPP(c_Product__Type_Oapsnd(_u12934, _u12936, _u12938, _u12944), _u12942)) | ( hAPP(_u12940, hAPP(c_Product__Type_Osnd(_u12938, _u12934), _u12942)) = hAPP(_u12944, hAPP(c_Product__Type_Osnd(_u12938, _u12934), _u12942))) )).
% 39.91/40.15 cnf(matrix-5882, plain, ( ( hAPP(_u12941, hAPP(c_Product__Type_Osnd(_u12939, _u12935), _u12943)) != hAPP(_u12945, hAPP(c_Product__Type_Osnd(_u12939, _u12935), _u12943))) | ( hAPP(c_Product__Type_Oapsnd(_u12935, _u12937, _u12939, _u12941), _u12943) = hAPP(c_Product__Type_Oapsnd(_u12935, _u12937, _u12939, _u12945), _u12943)) )).
% 39.91/40.15 cnf(matrix-5883, 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))) )).
% 39.91/40.15 cnf(matrix-5884, plain, ( ( _u12948 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u12950, _u12948) = _u12950) )).
% 39.91/40.15 cnf(matrix-5885, plain, ( ( _u12949 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u12951, _u12949) = c_Nitpick_Onat__gcd(_u12949, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u12951, _u12949))) )).
% 39.91/40.15 cnf(matrix-5886, plain, ( ( c_Divides_Opdivmod(_u12952, _u12953) = 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), _u12952)), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u12953))), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u12952), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u12953)))) )).
% 39.91/40.15 cnf(matrix-5887, plain, ( ( _u12956 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Opdivmod(_u12958, _u12956) = 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), _u12958))) )).
% 39.91/40.15 cnf(matrix-5888, plain, ( ( _u12957 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Opdivmod(_u12959, _u12957) = c_Divides_OposDivAlg(hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u12959), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u12957))) )).
% 39.91/40.15 cnf(matrix-5889, 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), _u12960), _u12961))) | ( _u12961 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u12960, _u12961) = _u12960) )).
% 39.91/40.15 cnf(matrix-5890, 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), _u12960), _u12961))) | ( _u12961 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u12960, _u12961) = c_Nitpick_Onat__gcd(_u12961, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u12960, _u12961))) )).
% 39.91/40.15 cnf(matrix-5891, plain, ( ( c_Nitpick_Onat__lcm(_u12962, _u12963) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u12962), _u12963)), c_Nitpick_Onat__gcd(_u12962, _u12963))) )).
% 39.91/40.15 cnf(matrix-5892, plain, ( ( c_Nitpick_Oint__lcm(_u12964, _u12965) = 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), _u12964)), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u12965))))) )).
% 39.91/40.15 cnf(matrix-5893, 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), _u12968), _u12969))) | hBOOL(hAPP(hAPP(_u12970, _u12968), _u12969)) | 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), skolem280(_u12970, _u12969, _u12968)), skolem281(_u12970, _u12969, _u12968)))) )).
% 39.91/40.15 cnf(matrix-5894, 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), _u12968), _u12969))) | hBOOL(hAPP(hAPP(_u12970, _u12968), _u12969)) | ( skolem281(_u12970, _u12969, _u12968) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(_u12970, skolem281(_u12970, _u12969, _u12968)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, skolem280(_u12970, _u12969, _u12968), skolem281(_u12970, _u12969, _u12968)))) )).
% 39.91/40.15 cnf(matrix-5895, 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), _u12968), _u12969))) | hBOOL(hAPP(hAPP(_u12970, _u12968), _u12969)) | ~hBOOL(hAPP(hAPP(_u12970, skolem280(_u12970, _u12969, _u12968)), skolem281(_u12970, _u12969, _u12968))) )).
% 39.91/40.15 cnf(matrix-5896, plain, ( ( hAPP(c_Product__Type_Oapfst(_u12971, _u12972, _u12973, _u12974), hAPP(c_Product__Type_Oapsnd(_u12975, _u12973, _u12971, _u12976), _u12977)) = hAPP(hAPP(c_Product__Type_OPair(_u12972, _u12973), hAPP(_u12974, hAPP(c_Product__Type_Ofst(_u12971, _u12975), _u12977))), hAPP(_u12976, hAPP(c_Product__Type_Osnd(_u12971, _u12975), _u12977)))) )).
% 39.91/40.15 cnf(matrix-5897, plain, ( ( hAPP(c_Product__Type_Oapsnd(_u12978, _u12979, _u12980, _u12981), hAPP(c_Product__Type_Oapfst(_u12982, _u12980, _u12978, _u12983), _u12984)) = hAPP(hAPP(c_Product__Type_OPair(_u12980, _u12979), hAPP(_u12983, hAPP(c_Product__Type_Ofst(_u12982, _u12978), _u12984))), hAPP(_u12981, hAPP(c_Product__Type_Osnd(_u12982, _u12978), _u12984)))) )).
% 39.91/40.15 cnf(matrix-5898, plain, ( ( hAPP(c_Product__Type_Oapfst(_u12985, _u12986, _u12987, _u12988), hAPP(hAPP(c_Product__Type_OPair(_u12985, _u12987), _u12989), _u12990)) = hAPP(hAPP(c_Product__Type_OPair(_u12986, _u12987), hAPP(_u12988, _u12989)), _u12990)) )).
% 39.91/40.15 cnf(matrix-5899, plain, ( ( hAPP(c_Product__Type_Osnd(_u12991, _u12992), hAPP(c_Product__Type_Oapfst(_u12993, _u12991, _u12992, _u12994), _u12995)) = hAPP(c_Product__Type_Osnd(_u12993, _u12992), _u12995)) )).
% 39.91/40.15 cnf(matrix-5900, plain, ( ( hAPP(c_Product__Type_Ofst(_u12996, _u12997), hAPP(c_Product__Type_Oapfst(_u12998, _u12996, _u12997, _u12999), _u13000)) = hAPP(_u12999, hAPP(c_Product__Type_Ofst(_u12998, _u12997), _u13000))) )).
% 39.91/40.15 cnf(matrix-5901, plain, ( ( hAPP(c_Product__Type_Oapfst(_u13007, _u13009, _u13011, _u13013), _u13015) != hAPP(c_Product__Type_Oapfst(_u13007, _u13009, _u13011, _u13017), _u13015)) | ( hAPP(_u13013, hAPP(c_Product__Type_Ofst(_u13007, _u13011), _u13015)) = hAPP(_u13017, hAPP(c_Product__Type_Ofst(_u13007, _u13011), _u13015))) )).
% 39.91/40.15 cnf(matrix-5902, plain, ( ( hAPP(_u13014, hAPP(c_Product__Type_Ofst(_u13008, _u13012), _u13016)) != hAPP(_u13018, hAPP(c_Product__Type_Ofst(_u13008, _u13012), _u13016))) | ( hAPP(c_Product__Type_Oapfst(_u13008, _u13010, _u13012, _u13014), _u13016) = hAPP(c_Product__Type_Oapfst(_u13008, _u13010, _u13012, _u13018), _u13016)) )).
% 39.91/40.15 cnf(matrix-5903, plain, ( ( hAPP(c_Product__Type_Oapfst(_u13019, _u13020, _u13021, _u13022), hAPP(c_Product__Type_Oapfst(_u13023, _u13019, _u13021, _u13024), _u13025)) = hAPP(c_Product__Type_Oapfst(_u13023, _u13020, _u13021, hAPP(c_Fun_Ocomp(_u13019, _u13020, _u13023, _u13022), _u13024)), _u13025)) )).
% 39.91/40.15 cnf(matrix-5904, plain, ( ( hAPP(c_Product__Type_Oapsnd(_u13026, _u13027, _u13028, _u13029), hAPP(c_Product__Type_Oapfst(_u13030, _u13028, _u13026, _u13031), _u13032)) = hAPP(c_Product__Type_Oapfst(_u13030, _u13028, _u13027, _u13031), hAPP(c_Product__Type_Oapsnd(_u13026, _u13027, _u13030, _u13029), _u13032))) )).
% 39.91/40.15 cnf(matrix-5905, plain, ( ~class_Groups_Ocomm__monoid__add(_u13034) | ~class_Groups_Ocomm__monoid__mult(_u13034) | ( _u13035 != _u13036) | ~c_Nat__Transfer_Onat__set(_u13036) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u13034), _u13037), _u13035) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u13034), _u13038), _u13036)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem282(_u13038, _u13037, _u13036, _u13035, _u13034))) )).
% 39.91/40.15 cnf(matrix-5906, plain, ( ~class_Groups_Ocomm__monoid__add(_u13034) | ~class_Groups_Ocomm__monoid__mult(_u13034) | ( _u13035 != _u13036) | ~c_Nat__Transfer_Onat__set(_u13036) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u13034), _u13037), _u13035) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u13034), _u13038), _u13036)) | ( hAPP(_u13037, skolem282(_u13038, _u13037, _u13036, _u13035, _u13034)) != hAPP(_u13038, skolem282(_u13038, _u13037, _u13036, _u13035, _u13034))) )).
% 39.91/40.15 cnf(matrix-5907, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u13042, hAPP(hAPP(c_COMBC(_u13042, tc_fun(tc_prod(_u13042, _u13042), tc_HOL_Obool), tc_fun(_u13042, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13042, tc_fun(tc_fun(tc_prod(_u13042, _u13042), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13042, _u13042), tc_HOL_Obool), tc_fun(_u13042, tc_HOL_Obool)), _u13042), c_COMBC(_u13042, tc_fun(tc_prod(_u13042, _u13042), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13042, tc_prod(_u13042, _u13042)), tc_fun(_u13042, tc_fun(tc_fun(tc_prod(_u13042, _u13042), tc_HOL_Obool), tc_HOL_Obool)), _u13042), hAPP(c_COMBB(tc_prod(_u13042, _u13042), tc_fun(tc_fun(tc_prod(_u13042, _u13042), tc_HOL_Obool), tc_HOL_Obool), _u13042), c_member(tc_prod(_u13042, _u13042)))), c_Product__Type_OPair(_u13042, _u13042)))), _u13044)), _u13046)) | hBOOL(hAPP(hAPP(c_member(_u13042), _u13046), c_Wellfounded_Oacc(_u13042, _u13044))) )).
% 39.91/40.15 cnf(matrix-5908, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13043), _u13047), c_Wellfounded_Oacc(_u13043, _u13045))) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u13043, hAPP(hAPP(c_COMBC(_u13043, tc_fun(tc_prod(_u13043, _u13043), tc_HOL_Obool), tc_fun(_u13043, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13043, tc_fun(tc_fun(tc_prod(_u13043, _u13043), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13043, _u13043), tc_HOL_Obool), tc_fun(_u13043, tc_HOL_Obool)), _u13043), c_COMBC(_u13043, tc_fun(tc_prod(_u13043, _u13043), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13043, tc_prod(_u13043, _u13043)), tc_fun(_u13043, tc_fun(tc_fun(tc_prod(_u13043, _u13043), tc_HOL_Obool), tc_HOL_Obool)), _u13043), hAPP(c_COMBB(tc_prod(_u13043, _u13043), tc_fun(tc_fun(tc_prod(_u13043, _u13043), tc_HOL_Obool), tc_HOL_Obool), _u13043), c_member(tc_prod(_u13043, _u13043)))), c_Product__Type_OPair(_u13043, _u13043)))), _u13045)), _u13047)) )).
% 39.91/40.15 cnf(matrix-5909, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13048, _u13049, _u13050), _u13051), _u13052) = hAPP(c_Set_OCollect(tc_prod(_u13048, _u13050)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13048, _u13050, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u13050, tc_fun(_u13049, tc_HOL_Obool)), tc_fun(_u13050, tc_HOL_Obool), _u13048), hAPP(c_COMBB(tc_fun(_u13049, tc_HOL_Obool), tc_HOL_Obool, _u13050), c_HOL_OEx(_u13049))), hAPP(hAPP(c_COMBC(_u13048, tc_fun(_u13050, tc_fun(_u13049, tc_HOL_Obool)), tc_fun(_u13050, tc_fun(_u13049, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u13049, tc_HOL_Obool), tc_fun(_u13049, tc_HOL_Obool)), tc_fun(tc_fun(_u13050, tc_fun(_u13049, tc_HOL_Obool)), tc_fun(_u13050, tc_fun(_u13049, tc_HOL_Obool))), _u13048), c_COMBB(tc_fun(_u13049, tc_HOL_Obool), tc_fun(_u13049, tc_HOL_Obool), _u13050)), hAPP(hAPP(c_COMBB(tc_fun(_u13049, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u13049, tc_HOL_Obool), tc_fun(_u13049, tc_HOL_Obool)), _u13048), c_COMBS(_u13049, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13049, tc_HOL_Obool), tc_fun(_u13049, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u13048), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13049), c_fconj)), hAPP(hAPP(c_COMBC(_u13048, tc_fun(tc_prod(_u13048, _u13049), tc_HOL_Obool), tc_fun(_u13049, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13049, tc_fun(tc_fun(tc_prod(_u13048, _u13049), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13048, _u13049), tc_HOL_Obool), tc_fun(_u13049, tc_HOL_Obool)), _u13048), c_COMBC(_u13049, tc_fun(tc_prod(_u13048, _u13049), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13049, tc_prod(_u13048, _u13049)), tc_fun(_u13049, tc_fun(tc_fun(tc_prod(_u13048, _u13049), tc_HOL_Obool), tc_HOL_Obool)), _u13048), hAPP(c_COMBB(tc_prod(_u13048, _u13049), tc_fun(tc_fun(tc_prod(_u13048, _u13049), tc_HOL_Obool), tc_HOL_Obool), _u13049), c_member(tc_prod(_u13048, _u13049)))), c_Product__Type_OPair(_u13048, _u13049)))), _u13051))))), hAPP(hAPP(c_COMBC(_u13050, tc_fun(tc_prod(_u13049, _u13050), tc_HOL_Obool), tc_fun(_u13049, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13049, tc_fun(tc_fun(tc_prod(_u13049, _u13050), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13049, _u13050), tc_HOL_Obool), tc_fun(_u13049, tc_HOL_Obool)), _u13050), c_COMBC(_u13049, tc_fun(tc_prod(_u13049, _u13050), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13049, tc_prod(_u13049, _u13050)), tc_fun(_u13049, tc_fun(tc_fun(tc_prod(_u13049, _u13050), tc_HOL_Obool), tc_HOL_Obool)), _u13050), hAPP(c_COMBB(tc_prod(_u13049, _u13050), tc_fun(tc_fun(tc_prod(_u13049, _u13050), tc_HOL_Obool), tc_HOL_Obool), _u13049), c_member(tc_prod(_u13049, _u13050)))), hAPP(c_COMBC(_u13049, _u13050, tc_prod(_u13049, _u13050)), c_Product__Type_OPair(_u13049, _u13050))))), _u13052)))))) )).
% 39.91/40.15 cnf(matrix-5910, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13053, _u13054)), hAPP(hAPP(c_Product__Type_OPair(_u13053, _u13054), _u13055), _u13056)), _u13057)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13054, _u13058)), hAPP(hAPP(c_Product__Type_OPair(_u13054, _u13058), _u13056), _u13059)), _u13060)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13053, _u13058)), hAPP(hAPP(c_Product__Type_OPair(_u13053, _u13058), _u13055), _u13059)), hAPP(hAPP(c_Relation_Orel__comp(_u13053, _u13054, _u13058), _u13057), _u13060))) )).
% 39.91/40.15 cnf(matrix-5911, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13061, _u13062, _u13063), _u13064), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13065, tc_fun(tc_prod(_u13062, _u13063), tc_HOL_Obool)), _u13066), _u13067)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13065, tc_fun(tc_prod(_u13061, _u13063), tc_HOL_Obool)), _u13066), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u13062, _u13063), tc_HOL_Obool), tc_fun(tc_prod(_u13061, _u13063), tc_HOL_Obool), _u13065), hAPP(c_Relation_Orel__comp(_u13061, _u13062, _u13063), _u13064)), _u13067))) )).
% 39.91/40.15 cnf(matrix-5912, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13068, _u13069, _u13070), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13071, tc_fun(tc_prod(_u13068, _u13069), tc_HOL_Obool)), _u13072), _u13073)), _u13074) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13071, tc_fun(tc_prod(_u13068, _u13070), tc_HOL_Obool)), _u13072), hAPP(hAPP(c_COMBC(_u13071, tc_fun(tc_prod(_u13069, _u13070), tc_HOL_Obool), tc_fun(tc_prod(_u13068, _u13070), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u13068, _u13069), tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u13069, _u13070), tc_HOL_Obool), tc_fun(tc_prod(_u13068, _u13070), tc_HOL_Obool)), _u13071), c_Relation_Orel__comp(_u13068, _u13069, _u13070)), _u13073)), _u13074))) )).
% 39.91/40.15 cnf(matrix-5913, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13075, _u13076), tc_HOL_Obool)), _u13077), _u13078)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13076, _u13079), tc_HOL_Obool)), _u13080), _u13081)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13075, _u13079), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13075, _u13076, _u13079), _u13077), _u13080)), hAPP(hAPP(c_Relation_Orel__comp(_u13075, _u13076, _u13079), _u13078), _u13081))) )).
% 39.91/40.15 cnf(matrix-5914, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13082, _u13083, _u13084), hAPP(hAPP(c_Relation_Orel__comp(_u13082, _u13085, _u13083), _u13086), _u13087)), _u13088) = hAPP(hAPP(c_Relation_Orel__comp(_u13082, _u13085, _u13084), _u13086), hAPP(hAPP(c_Relation_Orel__comp(_u13085, _u13083, _u13084), _u13087), _u13088))) )).
% 39.91/40.15 cnf(matrix-5915, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13089, _u13090, _u13091), _u13092), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13090, _u13091), tc_HOL_Obool)), _u13093), _u13094)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13089, _u13091), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13089, _u13090, _u13091), _u13092), _u13093)), hAPP(hAPP(c_Relation_Orel__comp(_u13089, _u13090, _u13091), _u13092), _u13094))) )).
% 39.91/40.15 cnf(matrix-5916, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13095, _u13096, _u13097), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13095, _u13096), tc_HOL_Obool)), _u13098), _u13099)), _u13100) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13095, _u13097), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13095, _u13096, _u13097), _u13098), _u13100)), hAPP(hAPP(c_Relation_Orel__comp(_u13095, _u13096, _u13097), _u13099), _u13100))) )).
% 39.91/40.15 cnf(matrix-5917, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13101, _u13102, _u13103), _u13104), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13102, _u13103), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13101, _u13103), tc_HOL_Obool))) )).
% 39.91/40.15 cnf(matrix-5918, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13105, _u13106, _u13107), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13105, _u13106), tc_HOL_Obool))), _u13108) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13105, _u13107), tc_HOL_Obool))) )).
% 39.91/40.15 cnf(matrix-5919, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13109, _u13109, _u13109), _u13110), _u13111) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13109, _u13109), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u13109, _u13109, _u13109), _u13112), _u13111) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13109, _u13109), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u13109, _u13109, _u13109), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13109, _u13109), tc_HOL_Obool)), _u13110), _u13112)), _u13111) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13109, _u13109), tc_HOL_Obool))) )).
% 39.91/40.15 cnf(matrix-5920, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13113, _u13113, _u13113), _u13114), _u13115) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13113, _u13113), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u13113, _u13113, _u13113), _u13114), _u13116) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13113, _u13113), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u13113, _u13113, _u13113), _u13114), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13113, _u13113), tc_HOL_Obool)), _u13115), _u13116)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13113, _u13113), tc_HOL_Obool))) )).
% 39.91/40.15 cnf(matrix-5921, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13117, _u13117), tc_HOL_Obool)), _u13118), _u13119)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13117, tc_HOL_Obool)), c_Wellfounded_Oacc(_u13117, _u13119)), c_Wellfounded_Oacc(_u13117, _u13118))) )).
% 39.91/40.15 cnf(matrix-5922, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13125), _u13127), c_Wellfounded_Oacc(_u13125, _u13129))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13125, _u13125)), hAPP(hAPP(c_Product__Type_OPair(_u13125, _u13125), _u13120), _u13127)), _u13129)) | hBOOL(hAPP(hAPP(c_member(_u13125), _u13120), c_Wellfounded_Oacc(_u13125, _u13129))) )).
% 39.91/40.15 cnf(matrix-5923, plain, ( hBOOL(hAPP(hAPP(c_member(_u13126), _u13128), c_Wellfounded_Oacc(_u13126, _u13130))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13126, _u13126)), hAPP(hAPP(c_Product__Type_OPair(_u13126, _u13126), skolem283(_u13130, _u13128, _u13126)), _u13128)), _u13130)) )).
% 39.91/40.15 cnf(matrix-5924, plain, ( hBOOL(hAPP(hAPP(c_member(_u13126), _u13128), c_Wellfounded_Oacc(_u13126, _u13130))) | ~hBOOL(hAPP(hAPP(c_member(_u13126), skolem283(_u13130, _u13128, _u13126)), c_Wellfounded_Oacc(_u13126, _u13130))) )).
% 39.91/40.15 cnf(matrix-5925, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13131), _u13132), c_Wellfounded_Oacc(_u13131, _u13133))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13131, _u13131)), hAPP(hAPP(c_Product__Type_OPair(_u13131, _u13131), _u13134), _u13132)), _u13133)) | hBOOL(hAPP(hAPP(c_member(_u13131), _u13134), c_Wellfounded_Oacc(_u13131, _u13133))) )).
% 39.91/40.15 cnf(matrix-5926, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13135, _u13135), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13135, _u13135, _u13135), _u13136), _u13137)), _u13136)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_fun(_u13135, tc_HOL_Obool), tc_fun(_u13135, tc_HOL_Obool)), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(tc_fun(_u13135, tc_HOL_Obool), tc_fun(_u13135, tc_HOL_Obool), tc_fun(_u13135, tc_HOL_Obool)), c_Wellfounded_Omax__ext(_u13135, _u13136)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(_u13135, tc_HOL_Obool), tc_fun(_u13135, tc_HOL_Obool)), tc_HOL_Obool)), c_Wellfounded_Omax__ext(_u13135, _u13137)), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(_u13135, tc_HOL_Obool), tc_fun(_u13135, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u13135, tc_HOL_Obool), tc_fun(_u13135, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u13135, tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(_u13135, tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(_u13135, tc_HOL_Obool), tc_fun(_u13135, tc_HOL_Obool)), tc_HOL_Obool)))))), c_Wellfounded_Omax__ext(_u13135, _u13136))) )).
% 39.91/40.15 cnf(matrix-5927, 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_Omin__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_Omin__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_Omin__ext(_u13138, _u13139))) )).
% 39.91/40.15 cnf(matrix-5928, plain, ( ~c_Predicate_Opred__comp(_u13148, _u13150, _u13152, 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)))), _u13154), hAPP(hAPP(c_COMBC(_u13150, tc_fun(tc_prod(_u13150, _u13152), tc_HOL_Obool), tc_fun(_u13152, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13152, tc_fun(tc_fun(tc_prod(_u13150, _u13152), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13150, _u13152), tc_HOL_Obool), tc_fun(_u13152, tc_HOL_Obool)), _u13150), c_COMBC(_u13152, tc_fun(tc_prod(_u13150, _u13152), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13152, tc_prod(_u13150, _u13152)), tc_fun(_u13152, tc_fun(tc_fun(tc_prod(_u13150, _u13152), tc_HOL_Obool), tc_HOL_Obool)), _u13150), hAPP(c_COMBB(tc_prod(_u13150, _u13152), tc_fun(tc_fun(tc_prod(_u13150, _u13152), tc_HOL_Obool), tc_HOL_Obool), _u13152), c_member(tc_prod(_u13150, _u13152)))), c_Product__Type_OPair(_u13150, _u13152)))), _u13156), _u13158, _u13160) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13148, _u13152)), hAPP(hAPP(c_Product__Type_OPair(_u13148, _u13152), _u13158), _u13160)), hAPP(hAPP(c_Relation_Orel__comp(_u13148, _u13150, _u13152), _u13154), _u13156))) )).
% 39.91/40.15 cnf(matrix-5929, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13149, _u13153)), hAPP(hAPP(c_Product__Type_OPair(_u13149, _u13153), _u13159), _u13161)), hAPP(hAPP(c_Relation_Orel__comp(_u13149, _u13151, _u13153), _u13155), _u13157))) | c_Predicate_Opred__comp(_u13149, _u13151, _u13153, 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)))), _u13155), hAPP(hAPP(c_COMBC(_u13151, tc_fun(tc_prod(_u13151, _u13153), tc_HOL_Obool), tc_fun(_u13153, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13153, tc_fun(tc_fun(tc_prod(_u13151, _u13153), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13151, _u13153), tc_HOL_Obool), tc_fun(_u13153, tc_HOL_Obool)), _u13151), c_COMBC(_u13153, tc_fun(tc_prod(_u13151, _u13153), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13153, tc_prod(_u13151, _u13153)), tc_fun(_u13153, tc_fun(tc_fun(tc_prod(_u13151, _u13153), tc_HOL_Obool), tc_HOL_Obool)), _u13151), hAPP(c_COMBB(tc_prod(_u13151, _u13153), tc_fun(tc_fun(tc_prod(_u13151, _u13153), tc_HOL_Obool), tc_HOL_Obool), _u13153), c_member(tc_prod(_u13151, _u13153)))), c_Product__Type_OPair(_u13151, _u13153)))), _u13157), _u13159, _u13161) )).
% 39.91/40.15 cnf(matrix-5930, plain, ( ~c_Wellfounded_Owf(_u13162, _u13163) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13162, _u13162), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13162, _u13162, _u13162), _u13163), _u13164)), _u13163)) | c_FunDef_Oreduction__pair(_u13162, hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(_u13162, _u13162), tc_HOL_Obool), tc_fun(tc_prod(_u13162, _u13162), tc_HOL_Obool)), _u13163), _u13164)) )).
% 39.91/40.15 cnf(matrix-5931, plain, ( ~c_Wellfounded_Omax__extp(_u13173, _u13175, _u13177, _u13179) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13173), _u13177)) )).
% 39.91/40.15 cnf(matrix-5932, plain, ( ~c_Wellfounded_Omax__extp(_u13173, _u13175, _u13177, _u13179) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13173), _u13179)) )).
% 39.91/40.15 cnf(matrix-5933, plain, ( ~c_Wellfounded_Omax__extp(_u13173, _u13175, _u13177, _u13179) | ( _u13179 != c_Orderings_Obot__class_Obot(tc_fun(_u13173, tc_HOL_Obool))) )).
% 39.91/40.15 cnf(matrix-5934, plain, ( ~c_Wellfounded_Omax__extp(_u13173, _u13175, _u13177, _u13179) | ~hBOOL(hAPP(hAPP(c_member(_u13173), _u13166), _u13177)) | hBOOL(hAPP(hAPP(c_member(_u13173), skolem284(_u13179, _u13177, _u13175, _u13173, _u13166)), _u13179)) )).
% 39.91/40.15 cnf(matrix-5935, plain, ( ~c_Wellfounded_Omax__extp(_u13173, _u13175, _u13177, _u13179) | ~hBOOL(hAPP(hAPP(c_member(_u13173), _u13166), _u13177)) | hBOOL(hAPP(hAPP(_u13175, _u13166), skolem284(_u13179, _u13177, _u13175, _u13173, _u13166))) )).
% 39.91/40.15 cnf(matrix-5936, plain, ( c_Wellfounded_Omax__extp(_u13174, _u13176, _u13178, _u13180) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13174), _u13178)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13174), _u13180)) | ( _u13180 = c_Orderings_Obot__class_Obot(tc_fun(_u13174, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u13174), skolem285(_u13180, _u13178, _u13176, _u13174)), _u13178)) )).
% 39.91/40.15 cnf(matrix-5937, plain, ( c_Wellfounded_Omax__extp(_u13174, _u13176, _u13178, _u13180) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13174), _u13178)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13174), _u13180)) | ( _u13180 = c_Orderings_Obot__class_Obot(tc_fun(_u13174, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u13174), _u13167), _u13180)) | ~hBOOL(hAPP(hAPP(_u13176, skolem285(_u13180, _u13178, _u13176, _u13174)), _u13167)) )).
% 39.91/40.15 cnf(matrix-5938, plain, ( c_Wellfounded_Owf(tc_Nat_Onat, c_Wellfounded_Oless__than) )).
% 39.91/40.15 cnf(matrix-5939, plain, ( ~hBOOL(hAPP(hAPP(_u13181, _u13182), _u13183)) | ~hBOOL(hAPP(hAPP(_u13184, _u13183), _u13185)) | c_Predicate_Opred__comp(_u13186, _u13187, _u13188, _u13181, _u13184, _u13182, _u13185) )).
% 39.91/40.15 cnf(matrix-5940, plain, ( c_Wellfounded_Owf(_u13189, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13189, _u13189), tc_HOL_Obool))) )).
% 39.91/40.15 cnf(matrix-5941, plain, ( ~c_Wellfounded_Owf(_u13190, _u13191) | c_Wellfounded_Owf(_u13192, hAPP(hAPP(c_Relation_Oinv__image(_u13190, _u13192), _u13191), _u13193)) )).
% 39.91/40.15 cnf(matrix-5942, plain, ( ~c_Wellfounded_Owf(_u13194, _u13195) | ~c_Wellfounded_Owf(_u13196, _u13197) | c_Wellfounded_Owf(tc_prod(_u13194, _u13196), c_Wellfounded_Olex__prod(_u13194, _u13196, _u13195, _u13197)) )).
% 39.91/40.15 cnf(matrix-5943, plain, ( c_Wellfounded_Owf(_u13198, hAPP(c_Wellfounded_Omeasure(_u13198), _u13199)) )).
% 39.91/40.15 cnf(matrix-5944, plain, ( ~c_Wellfounded_Owf(_u13202, _u13204) | c_Wellfounded_Owf(_u13202, hAPP(hAPP(c_Relation_Orel__comp(_u13202, _u13202, _u13202), _u13204), _u13204)) )).
% 39.91/40.15 cnf(matrix-5945, plain, ( ~c_Wellfounded_Owf(_u13203, hAPP(hAPP(c_Relation_Orel__comp(_u13203, _u13203, _u13203), _u13205), _u13205)) | c_Wellfounded_Owf(_u13203, _u13205) )).
% 39.91/40.15 cnf(matrix-5946, plain, ( ~c_Wellfounded_Owf(_u13206, _u13207) | c_Wellfounded_Owf(tc_fun(_u13206, tc_HOL_Obool), c_Wellfounded_Omin__ext(_u13206, _u13207)) )).
% 39.91/40.15 cnf(matrix-5947, plain, ( c_Wellfounded_Owf(tc_fun(_u13208, tc_HOL_Obool), c_Wellfounded_Ofinite__psubset(_u13208)) )).
% 39.91/40.15 cnf(matrix-5948, plain, ( ~c_Wellfounded_Owf(_u13209, _u13210) | c_Wellfounded_Owf(_u13209, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13209, _u13209), tc_HOL_Obool)), _u13210), _u13211)) )).
% 39.91/40.15 cnf(matrix-5949, plain, ( ~c_Wellfounded_Owf(_u13212, _u13213) | c_Wellfounded_Owf(_u13212, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13212, _u13212), tc_HOL_Obool)), _u13214), _u13213)) )).
% 39.91/40.15 cnf(matrix-5950, plain, ( ~c_Wellfounded_Owf(_u13215, _u13216) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13215, _u13215), tc_HOL_Obool)), _u13217), _u13216)) | c_Wellfounded_Owf(_u13215, _u13217) )).
% 39.91/40.15 cnf(matrix-5951, plain, ( ~c_Predicate_Opred__comp(_u13227, _u13229, _u13231, _u13233, _u13235, _u13237, _u13239) | hBOOL(hAPP(hAPP(_u13233, _u13237), skolem286(_u13239, _u13237, _u13235, _u13233))) )).
% 39.91/40.15 cnf(matrix-5952, plain, ( ~c_Predicate_Opred__comp(_u13227, _u13229, _u13231, _u13233, _u13235, _u13237, _u13239) | hBOOL(hAPP(hAPP(_u13235, skolem286(_u13239, _u13237, _u13235, _u13233)), _u13239)) )).
% 39.91/40.15 cnf(matrix-5953, plain, ( ~hBOOL(hAPP(hAPP(_u13234, _u13238), _u13219)) | ~hBOOL(hAPP(hAPP(_u13236, _u13219), _u13240)) | c_Predicate_Opred__comp(_u13228, _u13230, _u13232, _u13234, _u13236, _u13238, _u13240) )).
% 39.91/40.15 cnf(matrix-5954, plain, ( ~c_Wellfounded_Owf(_u13241, _u13242) | c_Wellfounded_Owf(_u13241, c_Wellfounded_Omlex__prod(_u13241, _u13243, _u13242)) )).
% 39.91/40.15 cnf(matrix-5955, plain, ( c_Wellfounded_Owf(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_FunDef_Opair__less) )).
% 39.91/40.15 cnf(matrix-5956, plain, ( ~c_Wellfounded_Owf(_u13244, _u13245) | c_Wellfounded_Owf(tc_fun(_u13244, tc_HOL_Obool), c_Wellfounded_Omax__ext(_u13244, _u13245)) )).
% 39.91/40.15 cnf(matrix-5957, 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)))) )).
% 39.91/40.15 cnf(matrix-5958, plain, ( ~c_Wellfounded_Owf(_u13246, _u13247) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13246, _u13246)), hAPP(hAPP(c_Product__Type_OPair(_u13246, _u13246), _u13248), _u13248)), _u13247)) )).
% 39.91/40.15 cnf(matrix-5959, plain, ( ~c_Wellfounded_Owf(_u13249, _u13250) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13249, _u13249)), hAPP(hAPP(c_Product__Type_OPair(_u13249, _u13249), _u13251), _u13252)), _u13250)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13249, _u13249)), hAPP(hAPP(c_Product__Type_OPair(_u13249, _u13249), _u13252), _u13251)), _u13250)) )).
% 39.91/40.15 cnf(matrix-5960, plain, ( ~c_Wellfounded_Owf(_u13253, _u13254) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13253, _u13253)), hAPP(hAPP(c_Product__Type_OPair(_u13253, _u13253), _u13255), _u13256)), _u13254)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13253, _u13253)), hAPP(hAPP(c_Product__Type_OPair(_u13253, _u13253), _u13256), _u13255)), _u13254)) )).
% 39.91/40.15 cnf(matrix-5961, plain, ( ~c_Wellfounded_Owf(_u13257, _u13258) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13257, _u13257)), hAPP(hAPP(c_Product__Type_OPair(_u13257, _u13257), _u13259), _u13259)), _u13258)) )).
% 39.91/40.15 cnf(matrix-5962, plain, ( c_Wellfounded_Owf(tc_Int_Oint, c_Int_Oint__ge__less__than2(_u13260)) )).
% 39.91/40.15 cnf(matrix-5963, plain, ( c_Wellfounded_Owf(tc_Int_Oint, c_Int_Oint__ge__less__than(_u13261)) )).
% 39.91/40.15 cnf(matrix-5964, plain, ( ~c_Wellfounded_Owf(_u13266, _u13268) | hBOOL(hAPP(hAPP(c_member(_u13266), _u13262), c_Wellfounded_Oacc(_u13266, _u13268))) )).
% 39.91/40.15 cnf(matrix-5965, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13267), skolem287(_u13269, _u13267)), c_Wellfounded_Oacc(_u13267, _u13269))) | c_Wellfounded_Owf(_u13267, _u13269) )).
% 39.91/40.15 cnf(matrix-5966, plain, ( ~c_Wellfounded_Owf(_u13270, _u13271) | hBOOL(hAPP(hAPP(c_member(_u13270), _u13272), c_Wellfounded_Oacc(_u13270, _u13271))) )).
% 39.91/40.15 cnf(matrix-5967, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13273, _u13273, _u13273), _u13274), _u13274) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13273, _u13273), tc_HOL_Obool))) | c_Wellfounded_Owf(_u13273, _u13274) )).
% 39.91/40.15 cnf(matrix-5968, plain, ( ~c_Wellfounded_Owf(_u13278, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13278, _u13278), tc_HOL_Obool)), _u13280), _u13282)) | c_Wellfounded_Owf(_u13278, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13278, _u13278), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13278, _u13278), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13278, _u13278, _u13278), _u13280), _u13280)), hAPP(hAPP(c_Relation_Orel__comp(_u13278, _u13278, _u13278), _u13282), _u13280))), _u13282)) )).
% 39.91/40.15 cnf(matrix-5969, plain, ( ~c_Wellfounded_Owf(_u13279, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13279, _u13279), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13279, _u13279), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13279, _u13279, _u13279), _u13281), _u13281)), hAPP(hAPP(c_Relation_Orel__comp(_u13279, _u13279, _u13279), _u13283), _u13281))), _u13283)) | c_Wellfounded_Owf(_u13279, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13279, _u13279), tc_HOL_Obool)), _u13281), _u13283)) )).
% 39.91/40.15 cnf(matrix-5970, plain, ( ~c_Wellfounded_Owf(_u13290, _u13292) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13290, _u13290)), hAPP(hAPP(c_Product__Type_OPair(_u13290, _u13290), hAPP(_u13285, hAPP(c_Nat_OSuc, skolem288(_u13292, _u13290, _u13285)))), hAPP(_u13285, skolem288(_u13292, _u13290, _u13285)))), _u13292)) )).
% 39.91/40.15 cnf(matrix-5971, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u13291, _u13291)), hAPP(hAPP(c_Product__Type_OPair(_u13291, _u13291), hAPP(skolem289(_u13293, _u13291), hAPP(c_Nat_OSuc, _u13286))), hAPP(skolem289(_u13293, _u13291), _u13286))), _u13293)) | c_Wellfounded_Owf(_u13291, _u13293) )).
% 39.91/40.15 cnf(matrix-5972, plain, ( ~c_Wellfounded_Owf(_u13294, _u13295) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13294, tc_HOL_Obool)), _u13296), hAPP(c_Relation_OImage(_u13294, _u13294, _u13295), _u13296))) | ( _u13296 = c_Orderings_Obot__class_Obot(tc_fun(_u13294, tc_HOL_Obool))) )).
% 39.91/40.15 cnf(matrix-5973, plain, ( ~c_Wellfounded_Owf(_u13297, _u13298) | ~c_Wellfounded_Owf(_u13297, _u13299) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13297, _u13297), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13297, _u13297, _u13297), _u13298), _u13299)), _u13298)) | c_Wellfounded_Owf(_u13297, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13297, _u13297), tc_HOL_Obool)), _u13298), _u13299)) )).
% 39.91/40.15 cnf(matrix-5974, plain, ( ~class_Orderings_Owellorder(_u13300) | c_Wellfounded_Owf(_u13300, hAPP(c_Set_OCollect(tc_prod(_u13300, _u13300)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13300, _u13300, tc_HOL_Obool), c_Orderings_Oord__class_Oless(_u13300)))) )).
% 39.91/40.15 cnf(matrix-5975, plain, ( ~c_FunDef_Oreduction__pair(_u13303, _u13305) | c_Wellfounded_Owf(_u13303, hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u13303, _u13303), tc_HOL_Obool), tc_fun(tc_prod(_u13303, _u13303), tc_HOL_Obool)), _u13305)) )).
% 39.91/40.15 cnf(matrix-5976, plain, ( ~c_FunDef_Oreduction__pair(_u13303, _u13305) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13303, _u13303), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13303, _u13303, _u13303), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u13303, _u13303), tc_HOL_Obool), tc_fun(tc_prod(_u13303, _u13303), tc_HOL_Obool)), _u13305)), hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(_u13303, _u13303), tc_HOL_Obool), tc_fun(tc_prod(_u13303, _u13303), tc_HOL_Obool)), _u13305))), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u13303, _u13303), tc_HOL_Obool), tc_fun(tc_prod(_u13303, _u13303), tc_HOL_Obool)), _u13305))) )).
% 39.91/40.15 cnf(matrix-5977, plain, ( ~c_Wellfounded_Owf(_u13304, hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u13304, _u13304), tc_HOL_Obool), tc_fun(tc_prod(_u13304, _u13304), tc_HOL_Obool)), _u13306)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13304, _u13304), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13304, _u13304, _u13304), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u13304, _u13304), tc_HOL_Obool), tc_fun(tc_prod(_u13304, _u13304), tc_HOL_Obool)), _u13306)), hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(_u13304, _u13304), tc_HOL_Obool), tc_fun(tc_prod(_u13304, _u13304), tc_HOL_Obool)), _u13306))), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u13304, _u13304), tc_HOL_Obool), tc_fun(tc_prod(_u13304, _u13304), tc_HOL_Obool)), _u13306))) | c_FunDef_Oreduction__pair(_u13304, _u13306) )).
% 39.91/40.15 cnf(matrix-5978, plain, ( ~c_FunDef_Oreduction__pair(_u13307, _u13308) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13307, _u13307), tc_HOL_Obool)), _u13309), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u13307, _u13307), tc_HOL_Obool), tc_fun(tc_prod(_u13307, _u13307), tc_HOL_Obool)), _u13308))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13307, _u13307), tc_HOL_Obool)), _u13310), hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(_u13307, _u13307), tc_HOL_Obool), tc_fun(tc_prod(_u13307, _u13307), tc_HOL_Obool)), _u13308))) | ~c_Wellfounded_Owf(_u13307, _u13310) | c_Wellfounded_Owf(_u13307, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13307, _u13307), tc_HOL_Obool)), _u13309), _u13310)) )).
% 39.91/40.15 cnf(matrix-5979, plain, ( ~c_Wellfounded_Owf(_u13311, _u13312) | c_Wellfounded_Owf(tc_List_Olist(_u13311), c_List_Olenlex(_u13311, _u13312)) )).
% 39.91/40.15 cnf(matrix-5980, plain, ( c_Wellfounded_Owf(_u13317, hAPP(c_Set_OCollect(tc_prod(_u13317, _u13317)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13317, _u13317, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u13317, tc_HOL_Obool), tc_fun(_u13317, tc_HOL_Obool), _u13317), hAPP(c_COMBS(_u13317, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13317), c_fconj), _u13314))), hAPP(hAPP(c_COMBC(_u13317, tc_fun(_u13317, _u13317), tc_fun(_u13317, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13317, tc_HOL_Obool), tc_fun(tc_fun(_u13317, _u13317), tc_fun(_u13317, tc_HOL_Obool)), _u13317), c_COMBB(_u13317, tc_HOL_Obool, _u13317)), c_fequal)), _u13316))))) | hBOOL(hAPP(_u13314, skolem290(_u13317, _u13316, _u13315, _u13314))) )).
% 39.91/40.15 cnf(matrix-5981, plain, ( c_Wellfounded_Owf(_u13317, hAPP(c_Set_OCollect(tc_prod(_u13317, _u13317)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13317, _u13317, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u13317, tc_HOL_Obool), tc_fun(_u13317, tc_HOL_Obool), _u13317), hAPP(c_COMBS(_u13317, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13317), c_fconj), _u13314))), hAPP(hAPP(c_COMBC(_u13317, tc_fun(_u13317, _u13317), tc_fun(_u13317, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13317, tc_HOL_Obool), tc_fun(tc_fun(_u13317, _u13317), tc_fun(_u13317, tc_HOL_Obool)), _u13317), c_COMBB(_u13317, tc_HOL_Obool, _u13317)), c_fequal)), _u13316))))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u13315, hAPP(_u13316, skolem290(_u13317, _u13316, _u13315, _u13314)))), hAPP(_u13315, skolem290(_u13317, _u13316, _u13315, _u13314)))) )).
% 39.91/40.15 cnf(matrix-5982, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13320), _u13321)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13320), _u13322)) | ( _u13322 = c_Orderings_Obot__class_Obot(tc_fun(_u13320, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u13320, tc_HOL_Obool), tc_fun(_u13320, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u13320, tc_HOL_Obool), tc_fun(_u13320, tc_HOL_Obool)), _u13321), _u13322)), c_Wellfounded_Omax__ext(_u13320, _u13323))) | hBOOL(hAPP(hAPP(c_member(_u13320), skolem291(_u13323, _u13322, _u13321, _u13320)), _u13321)) )).
% 39.91/40.15 cnf(matrix-5983, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13320), _u13321)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13320), _u13322)) | ( _u13322 = c_Orderings_Obot__class_Obot(tc_fun(_u13320, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u13320, tc_HOL_Obool), tc_fun(_u13320, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u13320, tc_HOL_Obool), tc_fun(_u13320, tc_HOL_Obool)), _u13321), _u13322)), c_Wellfounded_Omax__ext(_u13320, _u13323))) | ~hBOOL(hAPP(hAPP(c_member(_u13320), _u13318), _u13322)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13320, _u13320)), hAPP(hAPP(c_Product__Type_OPair(_u13320, _u13320), skolem291(_u13323, _u13322, _u13321, _u13320)), _u13318)), _u13323)) )).
% 39.91/40.15 cnf(matrix-5984, 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)))) )).
% 39.91/40.15 cnf(matrix-5985, plain, ( ~c_Wellfounded_Owf(_u13324, _u13325) | c_Wellfounded_Owf(tc_List_Olist(_u13324), c_List_Olex(_u13324, _u13325)) )).
% 39.91/40.15 cnf(matrix-5986, plain, ( ~c_Wellfounded_Owf(_u13326, _u13327) | c_Wellfounded_Owf(tc_List_Olist(_u13326), hAPP(c_List_Olexn(_u13326, _u13327), _u13328)) )).
% 39.91/40.15 cnf(matrix-5987, plain, ( ( c_List_Olex(_u13329, _u13330) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_prod(tc_List_Olist(_u13329), tc_List_Olist(_u13329)), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), c_List_Olexn(_u13329, _u13330))) )).
% 39.91/40.15 cnf(matrix-5988, plain, ( ( hAPP(c_List_Olexn(_u13331, _u13332), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_List_Olist(_u13331), tc_List_Olist(_u13331)), tc_HOL_Obool))) )).
% 39.91/40.15 cnf(matrix-5989, plain, ( c_Wellfounded_Owf(tc_Nat_Onat, c_Wellfounded_Opred__nat) )).
% 39.91/40.15 cnf(matrix-5990, plain, ( c_Wellfounded_Owf(tc_prod(_u13337, _u13335), c_Recdef_Osame__fst(_u13337, _u13335, _u13334, _u13336)) | hBOOL(hAPP(_u13334, skolem292(_u13337, _u13336, _u13335, _u13334))) )).
% 39.91/40.15 cnf(matrix-5991, plain, ( c_Wellfounded_Owf(tc_prod(_u13337, _u13335), c_Recdef_Osame__fst(_u13337, _u13335, _u13334, _u13336)) | ~c_Wellfounded_Owf(_u13335, hAPP(_u13336, skolem292(_u13337, _u13336, _u13335, _u13334))) )).
% 39.91/40.15 cnf(matrix-5992, plain, ( ( c_Nitpick_Ozero__frac(_u13338) = c_Nitpick_OAbs__Frac(_u13338, 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)))) )).
% 39.91/40.15 cnf(matrix-5993, plain, ( ( hAPP(c_Relation_ORange(_u13339, _u13340), hAPP(c_Set_OCollect(tc_prod(_u13339, _u13340)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13339, _u13340, tc_HOL_Obool), _u13341))) = hAPP(c_Set_OCollect(_u13340), hAPP(hAPP(c_COMBB(tc_fun(_u13339, tc_HOL_Obool), tc_HOL_Obool, _u13340), c_HOL_OEx(_u13339)), hAPP(c_COMBC(_u13339, _u13340, tc_HOL_Obool), _u13341)))) )).
% 39.91/40.15 cnf(matrix-5994, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13342, _u13343)), hAPP(hAPP(c_Product__Type_OPair(_u13342, _u13343), _u13344), _u13345)), _u13346)) | hBOOL(hAPP(hAPP(c_member(_u13343), _u13345), hAPP(c_Relation_ORange(_u13342, _u13343), _u13346))) )).
% 39.91/40.15 cnf(matrix-5995, plain, ( ( hAPP(c_Relation_ORange(_u13347, _u13347), c_Relation_OId__on(_u13347, _u13348)) = _u13348) )).
% 39.91/40.15 cnf(matrix-5996, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13349, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13349, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u13350, _u13349), _u13351)), hAPP(c_Relation_ORange(_u13350, _u13349), _u13352))), hAPP(c_Relation_ORange(_u13350, _u13349), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u13350, _u13349), tc_HOL_Obool)), _u13351), _u13352)))) )).
% 39.91/40.15 cnf(matrix-5997, plain, ( ( hAPP(c_Relation_ORange(_u13353, _u13354), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13353, _u13354), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u13354, tc_HOL_Obool))) )).
% 39.91/40.15 cnf(matrix-5998, plain, ( ( hAPP(c_Relation_ORange(_u13358, _u13360), _u13362) != c_Orderings_Obot__class_Obot(tc_fun(_u13360, tc_HOL_Obool))) | ( _u13362 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13358, _u13360), tc_HOL_Obool))) )).
% 39.91/40.15 cnf(matrix-5999, plain, ( ( _u13363 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13359, _u13361), tc_HOL_Obool))) | ( hAPP(c_Relation_ORange(_u13359, _u13361), _u13363) = c_Orderings_Obot__class_Obot(tc_fun(_u13361, tc_HOL_Obool))) )).
% 39.91/40.15 cnf(matrix-6000, plain, ( ( hAPP(c_Relation_ORange(_u13364, _u13365), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13364, _u13365), tc_HOL_Obool)), _u13366), _u13367)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13365, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u13364, _u13365), _u13366)), hAPP(c_Relation_ORange(_u13364, _u13365), _u13367))) )).
% 39.91/40.15 cnf(matrix-6001, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13368, _u13369)), _u13370)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13369), hAPP(c_Relation_ORange(_u13368, _u13369), _u13370))) )).
% 39.91/40.15 cnf(matrix-6002, plain, ( ( hAPP(c_Set_Oimage(tc_prod(_u13371, _u13372), _u13372, c_Product__Type_Osnd(_u13371, _u13372)), _u13373) = hAPP(c_Relation_ORange(_u13371, _u13372), _u13373)) )).
% 39.91/40.15 cnf(matrix-6003, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13380), _u13382), hAPP(c_Relation_ORange(_u13384, _u13380), _u13386))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13384, _u13380)), hAPP(hAPP(c_Product__Type_OPair(_u13384, _u13380), skolem293(_u13386, _u13384, _u13382, _u13380)), _u13382)), _u13386)) )).
% 39.91/40.15 cnf(matrix-6004, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13385, _u13381)), hAPP(hAPP(c_Product__Type_OPair(_u13385, _u13381), _u13375), _u13383)), _u13387)) | hBOOL(hAPP(hAPP(c_member(_u13381), _u13383), hAPP(c_Relation_ORange(_u13385, _u13381), _u13387))) )).
% 39.91/40.15 cnf(matrix-6005, plain, ( ( hAPP(c_Relation_ORange(_u13388, _u13389), hAPP(hAPP(c_Set_Oinsert(tc_prod(_u13388, _u13389)), hAPP(hAPP(c_Product__Type_OPair(_u13388, _u13389), _u13390), _u13391)), _u13392)) = hAPP(hAPP(c_Set_Oinsert(_u13389), _u13391), hAPP(c_Relation_ORange(_u13388, _u13389), _u13392))) )).
% 39.91/40.15 cnf(matrix-6006, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13393, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u13394, _u13393), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13394, _u13393), tc_HOL_Obool)), _u13395), _u13396))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13393, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u13394, _u13393), _u13395)), hAPP(c_Relation_ORange(_u13394, _u13393), _u13396)))) )).
% 39.91/40.15 cnf(matrix-6007, plain, ( ( c_Nitpick_Oone__frac(_u13397) = c_Nitpick_OAbs__Frac(_u13397, 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)))) )).
% 39.91/40.15 cnf(matrix-6008, plain, ( ( c_Nitpick_Onumber__of__frac(_u13398, _u13399) = c_Nitpick_OAbs__Frac(_u13398, hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u13399), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 39.91/40.15 cnf(matrix-6009, plain, ( ~hBOOL(hAPP(c_Predicate_ORangeP(_u13404, _u13406, hAPP(hAPP(c_COMBC(_u13404, tc_fun(tc_prod(_u13404, _u13406), tc_HOL_Obool), tc_fun(_u13406, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13406, tc_fun(tc_fun(tc_prod(_u13404, _u13406), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13404, _u13406), tc_HOL_Obool), tc_fun(_u13406, tc_HOL_Obool)), _u13404), c_COMBC(_u13406, tc_fun(tc_prod(_u13404, _u13406), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13406, tc_prod(_u13404, _u13406)), tc_fun(_u13406, tc_fun(tc_fun(tc_prod(_u13404, _u13406), tc_HOL_Obool), tc_HOL_Obool)), _u13404), hAPP(c_COMBB(tc_prod(_u13404, _u13406), tc_fun(tc_fun(tc_prod(_u13404, _u13406), tc_HOL_Obool), tc_HOL_Obool), _u13406), c_member(tc_prod(_u13404, _u13406)))), c_Product__Type_OPair(_u13404, _u13406)))), _u13408)), _u13410)) | hBOOL(hAPP(hAPP(c_member(_u13406), _u13410), hAPP(c_Relation_ORange(_u13404, _u13406), _u13408))) )).
% 39.91/40.15 cnf(matrix-6010, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13407), _u13411), hAPP(c_Relation_ORange(_u13405, _u13407), _u13409))) | hBOOL(hAPP(c_Predicate_ORangeP(_u13405, _u13407, hAPP(hAPP(c_COMBC(_u13405, tc_fun(tc_prod(_u13405, _u13407), tc_HOL_Obool), tc_fun(_u13407, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13407, tc_fun(tc_fun(tc_prod(_u13405, _u13407), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13405, _u13407), tc_HOL_Obool), tc_fun(_u13407, tc_HOL_Obool)), _u13405), c_COMBC(_u13407, tc_fun(tc_prod(_u13405, _u13407), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13407, tc_prod(_u13405, _u13407)), tc_fun(_u13407, tc_fun(tc_fun(tc_prod(_u13405, _u13407), tc_HOL_Obool), tc_HOL_Obool)), _u13405), hAPP(c_COMBB(tc_prod(_u13405, _u13407), tc_fun(tc_fun(tc_prod(_u13405, _u13407), tc_HOL_Obool), tc_HOL_Obool), _u13407), c_member(tc_prod(_u13405, _u13407)))), c_Product__Type_OPair(_u13405, _u13407)))), _u13409)), _u13411)) )).
% 39.91/40.15 cnf(matrix-6011, plain, ( ~hBOOL(hAPP(hAPP(_u13412, _u13413), _u13414)) | hBOOL(hAPP(c_Predicate_ORangeP(_u13415, _u13416, _u13412), _u13414)) )).
% 39.91/40.15 cnf(matrix-6012, plain, ( hBOOL(hAPP(hAPP(_u13427, skolem294(_u13429, _u13427)), _u13429)) | ~hBOOL(hAPP(c_Predicate_ORangeP(_u13423, _u13425, _u13427), _u13429)) )).
% 39.91/40.15 cnf(matrix-6013, plain, ( ~hBOOL(hAPP(hAPP(_u13428, _u13418), _u13430)) | hBOOL(hAPP(c_Predicate_ORangeP(_u13424, _u13426, _u13428), _u13430)) )).
% 39.91/40.15 cnf(matrix-6014, plain, ( ( hAPP(hAPP(c_Nitpick_Ofrac(_u13431), _u13432), _u13433) = c_Nitpick_OAbs__Frac(_u13431, c_Nitpick_Onorm__frac(_u13432, _u13433))) )).
% 39.91/40.15 cnf(matrix-6015, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13435), _u13436), hAPP(c_Relation_ORange(_u13437, _u13435), _u13438))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13437, _u13435)), hAPP(hAPP(c_Product__Type_OPair(_u13437, _u13435), skolem295(_u13438, _u13437, _u13436, _u13435)), _u13436)), _u13438)) )).
% 39.91/40.15 cnf(matrix-6016, plain, ( ~c_Wellfounded_Owf(_u13439, _u13440) | ~c_Wellfounded_Owf(_u13439, _u13441) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13439, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u13439, _u13439), _u13440)), hAPP(c_Relation_ORange(_u13439, _u13439), _u13441)) != c_Orderings_Obot__class_Obot(tc_fun(_u13439, tc_HOL_Obool))) | c_Wellfounded_Owf(_u13439, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13439, _u13439), tc_HOL_Obool)), _u13440), _u13441)) )).
% 39.91/40.15 cnf(matrix-6017, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13442, _u13443)), hAPP(hAPP(c_Product__Type_OPair(_u13442, _u13443), _u13444), _u13445)), _u13446)) | hBOOL(hAPP(hAPP(c_member(_u13442), _u13444), hAPP(c_Relation_ODomain(_u13442, _u13443), _u13446))) )).
% 39.91/40.15 cnf(matrix-6018, plain, ( ( hAPP(c_Relation_ODomain(_u13447, _u13447), c_Relation_OId__on(_u13447, _u13448)) = _u13448) )).
% 39.91/40.15 cnf(matrix-6019, plain, ( ( hAPP(c_Relation_ODomain(_u13449, _u13450), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13449, _u13450), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u13449, tc_HOL_Obool))) )).
% 39.91/40.15 cnf(matrix-6020, plain, ( ( hAPP(c_Relation_ODomain(_u13454, _u13456), _u13458) != c_Orderings_Obot__class_Obot(tc_fun(_u13454, tc_HOL_Obool))) | ( _u13458 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13454, _u13456), tc_HOL_Obool))) )).
% 39.91/40.15 cnf(matrix-6021, plain, ( ( _u13459 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13455, _u13457), tc_HOL_Obool))) | ( hAPP(c_Relation_ODomain(_u13455, _u13457), _u13459) = c_Orderings_Obot__class_Obot(tc_fun(_u13455, tc_HOL_Obool))) )).
% 39.91/40.15 cnf(matrix-6022, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13460, _u13461), tc_HOL_Obool)), _u13462), _u13463)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13460, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u13460, _u13461), _u13462)), hAPP(c_Relation_ODomain(_u13460, _u13461), _u13463))) )).
% 39.91/40.15 cnf(matrix-6023, plain, ( ( hAPP(c_Relation_ODomain(_u13464, _u13465), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13464, _u13465), tc_HOL_Obool)), _u13466), _u13467)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13464, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u13464, _u13465), _u13466)), hAPP(c_Relation_ODomain(_u13464, _u13465), _u13467))) )).
% 39.91/40.15 cnf(matrix-6024, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13468, _u13469)), _u13470)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13468), hAPP(c_Relation_ODomain(_u13468, _u13469), _u13470))) )).
% 39.91/40.15 cnf(matrix-6025, plain, ( ( hAPP(c_Set_Oimage(tc_prod(_u13471, _u13472), _u13471, c_Product__Type_Ofst(_u13471, _u13472)), _u13473) = hAPP(c_Relation_ODomain(_u13471, _u13472), _u13473)) )).
% 39.91/40.15 cnf(matrix-6026, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13480), _u13482), hAPP(c_Relation_ODomain(_u13480, _u13484), _u13486))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13480, _u13484)), hAPP(hAPP(c_Product__Type_OPair(_u13480, _u13484), _u13482), skolem296(_u13486, _u13484, _u13482, _u13480))), _u13486)) )).
% 39.91/40.15 cnf(matrix-6027, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13481, _u13485)), hAPP(hAPP(c_Product__Type_OPair(_u13481, _u13485), _u13483), _u13475)), _u13487)) | hBOOL(hAPP(hAPP(c_member(_u13481), _u13483), hAPP(c_Relation_ODomain(_u13481, _u13485), _u13487))) )).
% 39.91/40.15 cnf(matrix-6028, plain, ( ( hAPP(c_Relation_ODomain(_u13488, _u13489), hAPP(hAPP(c_Set_Oinsert(tc_prod(_u13488, _u13489)), hAPP(hAPP(c_Product__Type_OPair(_u13488, _u13489), _u13490), _u13491)), _u13492)) = hAPP(hAPP(c_Set_Oinsert(_u13488), _u13490), hAPP(c_Relation_ODomain(_u13488, _u13489), _u13492))) )).
% 39.91/40.15 cnf(matrix-6029, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13493, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u13493, _u13494), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13493, _u13494), tc_HOL_Obool)), _u13495), _u13496))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13493, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u13493, _u13494), _u13495)), hAPP(c_Relation_ODomain(_u13493, _u13494), _u13496)))) )).
% 39.91/40.15 cnf(matrix-6030, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13497, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13497, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u13497, _u13498), _u13499)), hAPP(c_Relation_ODomain(_u13497, _u13498), _u13500))), hAPP(c_Relation_ODomain(_u13497, _u13498), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u13497, _u13498), tc_HOL_Obool)), _u13499), _u13500)))) )).
% 39.91/40.15 cnf(matrix-6031, plain, ( ( hAPP(c_Relation_OField(_u13501), _u13502) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13501, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u13501, _u13501), _u13502)), hAPP(c_Relation_ORange(_u13501, _u13501), _u13502))) )).
% 39.91/40.15 cnf(matrix-6032, plain, ( ( hAPP(c_Relation_ODomain(_u13503, _u13504), hAPP(c_Set_OCollect(tc_prod(_u13503, _u13504)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13503, _u13504, tc_HOL_Obool), _u13505))) = hAPP(c_Set_OCollect(_u13503), hAPP(hAPP(c_COMBB(tc_fun(_u13504, tc_HOL_Obool), tc_HOL_Obool, _u13503), c_HOL_OEx(_u13504)), _u13505))) )).
% 39.91/40.15 cnf(matrix-6033, plain, ( ~hBOOL(hAPP(c_Predicate_ODomainP(_u13510, _u13512, hAPP(hAPP(c_COMBC(_u13510, tc_fun(tc_prod(_u13510, _u13512), tc_HOL_Obool), tc_fun(_u13512, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13512, tc_fun(tc_fun(tc_prod(_u13510, _u13512), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13510, _u13512), tc_HOL_Obool), tc_fun(_u13512, tc_HOL_Obool)), _u13510), c_COMBC(_u13512, tc_fun(tc_prod(_u13510, _u13512), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13512, tc_prod(_u13510, _u13512)), tc_fun(_u13512, tc_fun(tc_fun(tc_prod(_u13510, _u13512), tc_HOL_Obool), tc_HOL_Obool)), _u13510), hAPP(c_COMBB(tc_prod(_u13510, _u13512), tc_fun(tc_fun(tc_prod(_u13510, _u13512), tc_HOL_Obool), tc_HOL_Obool), _u13512), c_member(tc_prod(_u13510, _u13512)))), c_Product__Type_OPair(_u13510, _u13512)))), _u13514)), _u13516)) | hBOOL(hAPP(hAPP(c_member(_u13510), _u13516), hAPP(c_Relation_ODomain(_u13510, _u13512), _u13514))) )).
% 39.91/40.15 cnf(matrix-6034, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13511), _u13517), hAPP(c_Relation_ODomain(_u13511, _u13513), _u13515))) | hBOOL(hAPP(c_Predicate_ODomainP(_u13511, _u13513, hAPP(hAPP(c_COMBC(_u13511, tc_fun(tc_prod(_u13511, _u13513), tc_HOL_Obool), tc_fun(_u13513, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13513, tc_fun(tc_fun(tc_prod(_u13511, _u13513), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13511, _u13513), tc_HOL_Obool), tc_fun(_u13513, tc_HOL_Obool)), _u13511), c_COMBC(_u13513, tc_fun(tc_prod(_u13511, _u13513), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13513, tc_prod(_u13511, _u13513)), tc_fun(_u13513, tc_fun(tc_fun(tc_prod(_u13511, _u13513), tc_HOL_Obool), tc_HOL_Obool)), _u13511), hAPP(c_COMBB(tc_prod(_u13511, _u13513), tc_fun(tc_fun(tc_prod(_u13511, _u13513), tc_HOL_Obool), tc_HOL_Obool), _u13513), c_member(tc_prod(_u13511, _u13513)))), c_Product__Type_OPair(_u13511, _u13513)))), _u13515)), _u13517)) )).
% 39.91/40.15 cnf(matrix-6035, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13519), _u13520), hAPP(c_Relation_ODomain(_u13519, _u13521), _u13522))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13519, _u13521)), hAPP(hAPP(c_Product__Type_OPair(_u13519, _u13521), _u13520), skolem297(_u13522, _u13521, _u13520, _u13519))), _u13522)) )).
% 39.91/40.15 cnf(matrix-6036, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u13532, _u13534, hAPP(hAPP(c_Set_Oinsert(_u13532), _u13536), _u13538)), _u13540)) | ( hAPP(hAPP(c_Set_Oinsert(_u13532), _u13536), _u13538) = hAPP(hAPP(c_Set_Oinsert(_u13532), skolem298(_u13540, _u13538, _u13536, _u13534, _u13532)), skolem299(_u13540, _u13538, _u13536, _u13534, _u13532))) )).
% 39.91/40.15 cnf(matrix-6037, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u13532, _u13534, hAPP(hAPP(c_Set_Oinsert(_u13532), _u13536), _u13538)), _u13540)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u13532, _u13532, _u13534, skolem298(_u13540, _u13538, _u13536, _u13534, _u13532), skolem299(_u13540, _u13538, _u13536, _u13534, _u13532)), _u13540)) )).
% 39.91/40.15 cnf(matrix-6038, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u13532, _u13534, hAPP(hAPP(c_Set_Oinsert(_u13532), _u13536), _u13538)), _u13540)) | ~hBOOL(hAPP(hAPP(c_member(_u13532), skolem298(_u13540, _u13538, _u13536, _u13534, _u13532)), skolem299(_u13540, _u13538, _u13536, _u13534, _u13532))) )).
% 39.91/40.15 cnf(matrix-6039, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u13533), _u13537), _u13539) != hAPP(hAPP(c_Set_Oinsert(_u13533), _u13526), _u13525)) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u13533, _u13533, _u13535, _u13526, _u13525), _u13541)) | hBOOL(hAPP(hAPP(c_member(_u13533), _u13526), _u13525)) | hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u13533, _u13535, hAPP(hAPP(c_Set_Oinsert(_u13533), _u13537), _u13539)), _u13541)) )).
% 39.91/40.15 cnf(matrix-6040, plain, ( ~hBOOL(hAPP(hAPP(_u13542, _u13543), _u13544)) | hBOOL(hAPP(c_Predicate_ODomainP(_u13545, _u13546, _u13542), _u13543)) )).
% 39.91/40.15 cnf(matrix-6041, plain, ( hBOOL(hAPP(hAPP(_u13557, _u13559), skolem300(_u13559, _u13557))) | ~hBOOL(hAPP(c_Predicate_ODomainP(_u13553, _u13555, _u13557), _u13559)) )).
% 39.91/40.15 cnf(matrix-6042, plain, ( ~hBOOL(hAPP(hAPP(_u13558, _u13560), _u13548)) | hBOOL(hAPP(c_Predicate_ODomainP(_u13554, _u13556, _u13558), _u13560)) )).
% 39.91/40.15 cnf(matrix-6043, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u13563, _u13564, hAPP(hAPP(c_Set_Oinsert(_u13563), _u13565), _u13566)), _u13567)) | ( hAPP(hAPP(c_Set_Oinsert(_u13563), _u13565), _u13566) = hAPP(hAPP(c_Set_Oinsert(_u13563), skolem301(_u13567, _u13566, _u13565, _u13564, _u13563)), skolem302(_u13567, _u13566, _u13565, _u13564, _u13563))) )).
% 39.91/40.15 cnf(matrix-6044, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u13563, _u13564, hAPP(hAPP(c_Set_Oinsert(_u13563), _u13565), _u13566)), _u13567)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u13563, _u13563, _u13564, skolem301(_u13567, _u13566, _u13565, _u13564, _u13563), skolem302(_u13567, _u13566, _u13565, _u13564, _u13563)), _u13567)) )).
% 39.91/40.15 cnf(matrix-6045, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u13563, _u13564, hAPP(hAPP(c_Set_Oinsert(_u13563), _u13565), _u13566)), _u13567)) | ~hBOOL(hAPP(hAPP(c_member(_u13563), skolem301(_u13567, _u13566, _u13565, _u13564, _u13563)), skolem302(_u13567, _u13566, _u13565, _u13564, _u13563))) )).
% 39.91/40.15 cnf(matrix-6046, plain, ( ( hAPP(c_Set_Oimage(_u13568, tc_prod(_u13569, _u13570), hAPP(hAPP(c_COMBS(_u13568, _u13570, tc_prod(_u13569, _u13570)), hAPP(hAPP(c_COMBB(_u13569, tc_fun(_u13570, tc_prod(_u13569, _u13570)), _u13568), c_Product__Type_OPair(_u13569, _u13570)), _u13571)), _u13572)), _u13573) = hAPP(hAPP(c_Product__Type_OSigma(_u13569, _u13570), hAPP(c_Set_Oimage(_u13568, _u13569, _u13571), _u13573)), hAPP(hAPP(c_COMBB(tc_fun(_u13568, tc_HOL_Obool), tc_fun(_u13570, tc_HOL_Obool), _u13569), c_Set_Oimage(_u13568, _u13570, _u13572)), hAPP(hAPP(c_COMBC(_u13569, tc_fun(_u13568, tc_HOL_Obool), tc_fun(_u13568, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13568, tc_HOL_Obool), tc_fun(tc_fun(_u13568, tc_HOL_Obool), tc_fun(_u13568, tc_HOL_Obool)), _u13569), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13568, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13569, tc_HOL_Obool), tc_fun(_u13568, tc_HOL_Obool), _u13569), c_Set_Ovimage(_u13568, _u13569, _u13571)), hAPP(hAPP(c_COMBC(_u13569, tc_fun(_u13569, tc_HOL_Obool), tc_fun(_u13569, tc_HOL_Obool)), c_Set_Oinsert(_u13569)), c_Orderings_Obot__class_Obot(tc_fun(_u13569, tc_HOL_Obool)))))), _u13573)))) )).
% 39.91/40.15 cnf(matrix-6047, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem303(_u13578, _u13577, _u13576)), _u13576)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u13577, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u13578)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u13578), hAPP(_u13577, _u13576))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem304(_u13578, _u13577, _u13576)), _u13576)) )).
% 39.91/40.15 cnf(matrix-6048, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem303(_u13578, _u13577, _u13576)), _u13576)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u13577, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u13578)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u13578), hAPP(_u13577, _u13576))) | ( hAPP(_u13577, skolem304(_u13578, _u13577, _u13576)) = _u13578) )).
% 39.91/40.15 cnf(matrix-6049, 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(_u13577, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem303(_u13578, _u13577, _u13576)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u13577, skolem303(_u13578, _u13577, _u13576))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u13577, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u13578)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u13578), hAPP(_u13577, _u13576))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem304(_u13578, _u13577, _u13576)), _u13576)) )).
% 39.91/40.15 cnf(matrix-6050, 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(_u13577, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem303(_u13578, _u13577, _u13576)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u13577, skolem303(_u13578, _u13577, _u13576))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u13577, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u13578)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u13578), hAPP(_u13577, _u13576))) | ( hAPP(_u13577, skolem304(_u13578, _u13577, _u13576)) = _u13578) )).
% 39.91/40.15 cnf(matrix-6051, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13579), _u13580), _u13581)) | ~hBOOL(hAPP(hAPP(c_member(_u13582), _u13583), hAPP(_u13584, _u13580))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13579, _u13582)), hAPP(hAPP(c_Product__Type_OPair(_u13579, _u13582), _u13580), _u13583)), hAPP(hAPP(c_Product__Type_OSigma(_u13579, _u13582), _u13581), _u13584))) )).
% 39.91/40.15 cnf(matrix-6052, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13585), _u13586), _u13587)) | ( hAPP(hAPP(c_Product__Type_OSigma(_u13588, _u13585), _u13589), hAPP(c_COMBK(tc_fun(_u13585, tc_HOL_Obool), _u13588), _u13587)) != hAPP(hAPP(c_Product__Type_OSigma(_u13588, _u13585), _u13590), hAPP(c_COMBK(tc_fun(_u13585, tc_HOL_Obool), _u13588), _u13587))) | ( _u13589 = _u13590) )).
% 39.91/40.15 cnf(matrix-6053, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13585), _u13586), _u13587)) | ( _u13589 != _u13590) | ( hAPP(hAPP(c_Product__Type_OSigma(_u13588, _u13585), _u13589), hAPP(c_COMBK(tc_fun(_u13585, tc_HOL_Obool), _u13588), _u13587)) = hAPP(hAPP(c_Product__Type_OSigma(_u13588, _u13585), _u13590), hAPP(c_COMBK(tc_fun(_u13585, tc_HOL_Obool), _u13588), _u13587))) )).
% 39.91/40.15 cnf(matrix-6054, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13591, _u13592), c_Orderings_Obot__class_Obot(tc_fun(_u13591, tc_HOL_Obool))), _u13593) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13591, _u13592), tc_HOL_Obool))) )).
% 39.91/40.15 cnf(matrix-6055, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_prod(_u13594, _u13595)), hAPP(hAPP(c_Product__Type_OSigma(_u13594, _u13595), _u13596), hAPP(c_COMBK(tc_fun(_u13595, tc_HOL_Obool), _u13594), _u13597))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u13594), _u13596)), hAPP(c_Finite__Set_Ocard(_u13595), _u13597))) )).
% 39.91/40.15 cnf(matrix-6056, plain, ( ~class_Groups_Ocomm__monoid__add(_u13598) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13599, _u13598), hAPP(hAPP(c_COMBC(_u13599, tc_fun(_u13600, tc_HOL_Obool), _u13598), hAPP(hAPP(c_COMBB(tc_fun(_u13600, _u13598), tc_fun(tc_fun(_u13600, tc_HOL_Obool), _u13598), _u13599), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13600, _u13598)), _u13601)), _u13602)), _u13603) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(_u13599, _u13600), _u13598), hAPP(c_Product__Type_Oprod_Oprod__case(_u13599, _u13600, _u13598), _u13601)), hAPP(hAPP(c_Product__Type_OSigma(_u13599, _u13600), _u13603), hAPP(c_COMBK(tc_fun(_u13600, tc_HOL_Obool), _u13599), _u13602)))) )).
% 39.91/40.15 cnf(matrix-6057, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13604, _u13605), _u13606), hAPP(c_COMBK(tc_fun(_u13605, tc_HOL_Obool), _u13604), c_Orderings_Obot__class_Obot(tc_fun(_u13605, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13604, _u13605), tc_HOL_Obool))) )).
% 39.91/40.15 cnf(matrix-6058, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13611, _u13613), _u13615), hAPP(c_COMBK(tc_fun(_u13613, tc_HOL_Obool), _u13611), _u13617)) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13611, _u13613), tc_HOL_Obool))) | ( _u13615 = c_Orderings_Obot__class_Obot(tc_fun(_u13611, tc_HOL_Obool))) | ( _u13617 = c_Orderings_Obot__class_Obot(tc_fun(_u13613, tc_HOL_Obool))) )).
% 39.91/40.15 cnf(matrix-6059, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13612, _u13614), _u13616), hAPP(c_COMBK(tc_fun(_u13614, tc_HOL_Obool), _u13612), _u13618)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13612, _u13614), tc_HOL_Obool))) | ( _u13616 != c_Orderings_Obot__class_Obot(tc_fun(_u13612, tc_HOL_Obool))) )).
% 39.91/40.15 cnf(matrix-6060, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13612, _u13614), _u13616), hAPP(c_COMBK(tc_fun(_u13614, tc_HOL_Obool), _u13612), _u13618)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13612, _u13614), tc_HOL_Obool))) | ( _u13618 != c_Orderings_Obot__class_Obot(tc_fun(_u13614, tc_HOL_Obool))) )).
% 39.91/40.15 cnf(matrix-6061, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_prod(_u13619, _u13620), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13619, _u13620), _u13621), hAPP(c_COMBK(tc_fun(_u13620, tc_HOL_Obool), _u13619), c_Orderings_Otop__class_Otop(tc_fun(_u13620, tc_HOL_Obool))))) = hAPP(hAPP(c_Product__Type_OSigma(_u13619, _u13620), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u13619, tc_HOL_Obool)), _u13621)), hAPP(c_COMBK(tc_fun(_u13620, tc_HOL_Obool), _u13619), c_Orderings_Otop__class_Otop(tc_fun(_u13620, tc_HOL_Obool))))) )).
% 39.91/40.15 cnf(matrix-6062, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_prod(_u13622, _u13623), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13622, _u13623), c_Orderings_Otop__class_Otop(tc_fun(_u13622, tc_HOL_Obool))), hAPP(c_COMBK(tc_fun(_u13623, tc_HOL_Obool), _u13622), _u13624))) = hAPP(hAPP(c_Product__Type_OSigma(_u13622, _u13623), c_Orderings_Otop__class_Otop(tc_fun(_u13622, tc_HOL_Obool))), hAPP(c_COMBK(tc_fun(_u13623, tc_HOL_Obool), _u13622), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u13623, tc_HOL_Obool)), _u13624)))) )).
% 39.91/40.15 cnf(matrix-6063, plain, ( ~class_Groups_Ocomm__monoid__mult(_u13625) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13626, _u13625), hAPP(hAPP(c_COMBC(_u13626, tc_fun(_u13627, tc_HOL_Obool), _u13625), hAPP(hAPP(c_COMBB(tc_fun(_u13627, _u13625), tc_fun(tc_fun(_u13627, tc_HOL_Obool), _u13625), _u13626), c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13627, _u13625)), _u13628)), _u13629)), _u13630) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(_u13626, _u13627), _u13625), hAPP(c_Product__Type_Oprod_Oprod__case(_u13626, _u13627, _u13625), _u13628)), hAPP(hAPP(c_Product__Type_OSigma(_u13626, _u13627), _u13630), hAPP(c_COMBK(tc_fun(_u13627, tc_HOL_Obool), _u13626), _u13629)))) )).
% 39.91/40.15 cnf(matrix-6064, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13631, _u13632), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13631, tc_HOL_Obool)), _u13633), _u13634)), _u13635) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13631, _u13632), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13631, _u13632), _u13633), _u13635)), hAPP(hAPP(c_Product__Type_OSigma(_u13631, _u13632), _u13634), _u13635))) )).
% 39.91/40.15 cnf(matrix-6065, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13636, _u13637), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13636, tc_HOL_Obool)), _u13638), _u13639)), hAPP(c_COMBK(tc_fun(_u13637, tc_HOL_Obool), _u13636), _u13640)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13636, _u13637), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13636, _u13637), _u13638), hAPP(c_COMBK(tc_fun(_u13637, tc_HOL_Obool), _u13636), _u13640))), hAPP(hAPP(c_Product__Type_OSigma(_u13636, _u13637), _u13639), hAPP(c_COMBK(tc_fun(_u13637, tc_HOL_Obool), _u13636), _u13640)))) )).
% 39.91/40.15 cnf(matrix-6066, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13641, _u13642), _u13643), hAPP(hAPP(c_COMBS(_u13641, tc_fun(_u13642, tc_HOL_Obool), tc_fun(_u13642, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13642, tc_HOL_Obool), tc_fun(tc_fun(_u13642, tc_HOL_Obool), tc_fun(_u13642, tc_HOL_Obool)), _u13641), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13642, tc_HOL_Obool))), _u13644)), _u13645)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13641, _u13642), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13641, _u13642), _u13643), _u13644)), hAPP(hAPP(c_Product__Type_OSigma(_u13641, _u13642), _u13643), _u13645))) )).
% 39.91/40.15 cnf(matrix-6067, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13646, _u13647), tc_HOL_Obool)), _u13648), hAPP(hAPP(c_Product__Type_OSigma(_u13646, _u13647), _u13649), hAPP(c_COMBK(tc_fun(_u13647, tc_HOL_Obool), _u13646), _u13650)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13647, _u13651), tc_HOL_Obool)), _u13652), hAPP(hAPP(c_Product__Type_OSigma(_u13647, _u13651), _u13650), hAPP(c_COMBK(tc_fun(_u13651, tc_HOL_Obool), _u13647), _u13653)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13646, _u13651), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13646, _u13647, _u13651), _u13648), _u13652)), hAPP(hAPP(c_Product__Type_OSigma(_u13646, _u13651), _u13649), hAPP(c_COMBK(tc_fun(_u13651, tc_HOL_Obool), _u13646), _u13653)))) )).
% 39.91/40.15 cnf(matrix-6068, plain, ( ( hAPP(c_Set_Oimage(tc_prod(_u13654, _u13655), tc_prod(_u13655, _u13654), hAPP(c_Product__Type_Oprod_Oprod__case(_u13654, _u13655, tc_prod(_u13655, _u13654)), hAPP(c_COMBC(_u13655, _u13654, tc_prod(_u13655, _u13654)), c_Product__Type_OPair(_u13655, _u13654)))), hAPP(hAPP(c_Product__Type_OSigma(_u13654, _u13655), _u13656), hAPP(c_COMBK(tc_fun(_u13655, tc_HOL_Obool), _u13654), _u13657))) = hAPP(hAPP(c_Product__Type_OSigma(_u13655, _u13654), _u13657), hAPP(c_COMBK(tc_fun(_u13654, tc_HOL_Obool), _u13655), _u13656))) )).
% 39.91/40.15 cnf(matrix-6069, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13658), _u13659)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13660), _u13661)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13658, _u13660)), hAPP(hAPP(c_Product__Type_OSigma(_u13658, _u13660), _u13659), hAPP(c_COMBK(tc_fun(_u13660, tc_HOL_Obool), _u13658), _u13661)))) )).
% 39.91/40.15 cnf(matrix-6070, plain, ( ~c_Equiv__Relations_Oequiv(_u13662, _u13663, _u13664) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13662, _u13662), tc_HOL_Obool)), _u13664), hAPP(hAPP(c_Product__Type_OSigma(_u13662, _u13662), _u13663), hAPP(c_COMBK(tc_fun(_u13662, tc_HOL_Obool), _u13662), _u13663)))) )).
% 39.91/40.15 cnf(matrix-6071, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13665, _u13666), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13665, tc_HOL_Obool)), _u13667), _u13668)), _u13669) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13665, _u13666), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13665, _u13666), _u13667), _u13669)), hAPP(hAPP(c_Product__Type_OSigma(_u13665, _u13666), _u13668), _u13669))) )).
% 39.91/40.15 cnf(matrix-6072, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13670, _u13671), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13670, tc_HOL_Obool)), _u13672), _u13673)), hAPP(c_COMBK(tc_fun(_u13671, tc_HOL_Obool), _u13670), _u13674)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13670, _u13671), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13670, _u13671), _u13672), hAPP(c_COMBK(tc_fun(_u13671, tc_HOL_Obool), _u13670), _u13674))), hAPP(hAPP(c_Product__Type_OSigma(_u13670, _u13671), _u13673), hAPP(c_COMBK(tc_fun(_u13671, tc_HOL_Obool), _u13670), _u13674)))) )).
% 39.91/40.15 cnf(matrix-6073, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13675, _u13676), _u13677), hAPP(hAPP(c_COMBS(_u13675, tc_fun(_u13676, tc_HOL_Obool), tc_fun(_u13676, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13676, tc_HOL_Obool), tc_fun(tc_fun(_u13676, tc_HOL_Obool), tc_fun(_u13676, tc_HOL_Obool)), _u13675), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13676, tc_HOL_Obool))), _u13678)), _u13679)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13675, _u13676), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13675, _u13676), _u13677), _u13678)), hAPP(hAPP(c_Product__Type_OSigma(_u13675, _u13676), _u13677), _u13679))) )).
% 39.91/40.15 cnf(matrix-6074, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13680, _u13680), tc_HOL_Obool)), c_Relation_OId__on(_u13680, _u13681)), hAPP(hAPP(c_Product__Type_OSigma(_u13680, _u13680), _u13681), hAPP(c_COMBK(tc_fun(_u13680, tc_HOL_Obool), _u13680), _u13681)))) )).
% 39.91/40.15 cnf(matrix-6075, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13682, _u13683), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13682, tc_HOL_Obool)), _u13684), _u13685)), _u13686) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u13682, _u13683), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13682, _u13683), _u13684), _u13686)), hAPP(hAPP(c_Product__Type_OSigma(_u13682, _u13683), _u13685), _u13686))) )).
% 39.91/40.15 cnf(matrix-6076, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13687, _u13688), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13687, tc_HOL_Obool)), _u13689), _u13690)), hAPP(c_COMBK(tc_fun(_u13688, tc_HOL_Obool), _u13687), _u13691)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u13687, _u13688), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13687, _u13688), _u13689), hAPP(c_COMBK(tc_fun(_u13688, tc_HOL_Obool), _u13687), _u13691))), hAPP(hAPP(c_Product__Type_OSigma(_u13687, _u13688), _u13690), hAPP(c_COMBK(tc_fun(_u13688, tc_HOL_Obool), _u13687), _u13691)))) )).
% 39.91/40.15 cnf(matrix-6077, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13692, _u13693), _u13694), hAPP(hAPP(c_COMBS(_u13692, tc_fun(_u13693, tc_HOL_Obool), tc_fun(_u13693, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13693, tc_HOL_Obool), tc_fun(tc_fun(_u13693, tc_HOL_Obool), tc_fun(_u13693, tc_HOL_Obool)), _u13692), c_Groups_Ominus__class_Ominus(tc_fun(_u13693, tc_HOL_Obool))), _u13695)), _u13696)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u13692, _u13693), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13692, _u13693), _u13694), _u13695)), hAPP(hAPP(c_Product__Type_OSigma(_u13692, _u13693), _u13694), _u13696))) )).
% 39.91/40.15 cnf(matrix-6078, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13697, _u13698), c_Orderings_Otop__class_Otop(tc_fun(_u13697, tc_HOL_Obool))), hAPP(c_COMBK(tc_fun(_u13698, tc_HOL_Obool), _u13697), c_Orderings_Otop__class_Otop(tc_fun(_u13698, tc_HOL_Obool)))) = c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u13697, _u13698), tc_HOL_Obool))) )).
% 39.91/40.15 cnf(matrix-6079, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13705, _u13707)), hAPP(hAPP(c_Product__Type_OPair(_u13705, _u13707), _u13709), _u13711)), hAPP(hAPP(c_Product__Type_OSigma(_u13705, _u13707), _u13713), _u13715))) | hBOOL(hAPP(hAPP(c_member(_u13705), _u13709), _u13713)) )).
% 39.91/40.15 cnf(matrix-6080, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13705, _u13707)), hAPP(hAPP(c_Product__Type_OPair(_u13705, _u13707), _u13709), _u13711)), hAPP(hAPP(c_Product__Type_OSigma(_u13705, _u13707), _u13713), _u13715))) | hBOOL(hAPP(hAPP(c_member(_u13707), _u13711), hAPP(_u13715, _u13709))) )).
% 39.91/40.15 cnf(matrix-6081, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13706), _u13710), _u13714)) | ~hBOOL(hAPP(hAPP(c_member(_u13708), _u13712), hAPP(_u13716, _u13710))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13706, _u13708)), hAPP(hAPP(c_Product__Type_OPair(_u13706, _u13708), _u13710), _u13712)), hAPP(hAPP(c_Product__Type_OSigma(_u13706, _u13708), _u13714), _u13716))) )).
% 39.91/40.15 cnf(matrix-6082, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13717, _u13718)), hAPP(hAPP(c_Product__Type_OPair(_u13717, _u13718), _u13719), _u13720)), hAPP(hAPP(c_Product__Type_OSigma(_u13717, _u13718), _u13721), _u13722))) | hBOOL(hAPP(hAPP(c_member(_u13717), _u13719), _u13721)) )).
% 39.91/40.15 cnf(matrix-6083, plain, ( hBOOL(hAPP(hAPP(c_member(_u13724), _u13726), hAPP(_u13728, _u13725))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13723, _u13724)), hAPP(hAPP(c_Product__Type_OPair(_u13723, _u13724), _u13725), _u13726)), hAPP(hAPP(c_Product__Type_OSigma(_u13723, _u13724), _u13727), _u13728))) )).
% 39.91/40.15 cnf(matrix-6084, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13729, _u13730)), hAPP(hAPP(c_Product__Type_OPair(_u13729, _u13730), _u13731), _u13732)), hAPP(hAPP(c_Product__Type_OSigma(_u13729, _u13730), _u13733), _u13734))) | hBOOL(hAPP(hAPP(c_member(_u13729), _u13731), _u13733)) )).
% 39.91/40.15 cnf(matrix-6085, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13729, _u13730)), hAPP(hAPP(c_Product__Type_OPair(_u13729, _u13730), _u13731), _u13732)), hAPP(hAPP(c_Product__Type_OSigma(_u13729, _u13730), _u13733), _u13734))) | hBOOL(hAPP(hAPP(c_member(_u13730), _u13732), hAPP(_u13734, _u13731))) )).
% 39.91/40.15 cnf(matrix-6086, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_prod(_u13735, _u13736)), hAPP(hAPP(c_Product__Type_OSigma(_u13735, _u13736), hAPP(hAPP(c_Set_Oinsert(_u13735), _u13737), c_Orderings_Obot__class_Obot(tc_fun(_u13735, tc_HOL_Obool)))), hAPP(c_COMBK(tc_fun(_u13736, tc_HOL_Obool), _u13735), _u13738))) = hAPP(c_Finite__Set_Ocard(_u13736), _u13738)) )).
% 39.91/40.15 cnf(matrix-6087, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13739), _u13740), _u13741)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13742, _u13739), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13742, _u13739), _u13743), hAPP(c_COMBK(tc_fun(_u13739, tc_HOL_Obool), _u13742), _u13741))), hAPP(hAPP(c_Product__Type_OSigma(_u13742, _u13739), _u13744), hAPP(c_COMBK(tc_fun(_u13739, tc_HOL_Obool), _u13742), _u13741)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13742, tc_HOL_Obool)), _u13743), _u13744)) )).
% 39.91/40.15 cnf(matrix-6088, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13739), _u13740), _u13741)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13742, tc_HOL_Obool)), _u13743), _u13744)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13742, _u13739), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13742, _u13739), _u13743), hAPP(c_COMBK(tc_fun(_u13739, tc_HOL_Obool), _u13742), _u13741))), hAPP(hAPP(c_Product__Type_OSigma(_u13742, _u13739), _u13744), hAPP(c_COMBK(tc_fun(_u13739, tc_HOL_Obool), _u13742), _u13741)))) )).
% 39.91/40.15 cnf(matrix-6089, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13745, _u13746), tc_HOL_Obool)), _u13747), hAPP(hAPP(c_Product__Type_OSigma(_u13745, _u13746), _u13748), hAPP(c_COMBK(tc_fun(_u13746, tc_HOL_Obool), _u13745), _u13749)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13746, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u13745, _u13746, _u13747), _u13750)), _u13749)) )).
% 39.91/40.15 cnf(matrix-6090, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13751, _u13752)), hAPP(hAPP(c_Product__Type_OSigma(_u13751, _u13752), _u13753), hAPP(c_COMBK(tc_fun(_u13752, tc_HOL_Obool), _u13751), _u13754)))) | ( _u13753 = c_Orderings_Obot__class_Obot(tc_fun(_u13751, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13752), _u13754)) )).
% 39.91/40.15 cnf(matrix-6091, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13755, _u13756)), hAPP(hAPP(c_Product__Type_OSigma(_u13755, _u13756), _u13757), hAPP(c_COMBK(tc_fun(_u13756, tc_HOL_Obool), _u13755), _u13758)))) | ( _u13758 = c_Orderings_Obot__class_Obot(tc_fun(_u13756, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13755), _u13757)) )).
% 39.91/40.15 cnf(matrix-6092, plain, ( ( hAPP(c_Set_OCollect(tc_prod(_u13759, _u13760)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13759, _u13760, tc_HOL_Obool), hAPP(hAPP(c_COMBS(_u13759, tc_fun(_u13760, tc_HOL_Obool), tc_fun(_u13760, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13760, tc_HOL_Obool), tc_fun(_u13760, tc_HOL_Obool)), _u13759), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13760)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13759), c_fconj), _u13761))), _u13762))) = hAPP(hAPP(c_Product__Type_OSigma(_u13759, _u13760), hAPP(c_Set_OCollect(_u13759), _u13761)), hAPP(hAPP(c_COMBB(tc_fun(_u13760, tc_HOL_Obool), tc_fun(_u13760, tc_HOL_Obool), _u13759), c_Set_OCollect(_u13760)), _u13762))) )).
% 39.91/40.15 cnf(matrix-6093, plain, ( ( hAPP(c_Set_OCollect(tc_prod(_u13763, _u13764)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13763, _u13764, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13763, tc_fun(_u13764, tc_HOL_Obool), tc_fun(_u13764, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13764, tc_HOL_Obool), tc_fun(_u13764, tc_HOL_Obool)), _u13763), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13764)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13763), c_fconj), _u13765))), _u13766))) = hAPP(hAPP(c_Product__Type_OSigma(_u13763, _u13764), hAPP(c_Set_OCollect(_u13763), _u13765)), hAPP(c_COMBK(tc_fun(_u13764, tc_HOL_Obool), _u13763), hAPP(c_Set_OCollect(_u13764), _u13766)))) )).
% 39.91/40.15 cnf(matrix-6094, plain, ( ( _u13771 != c_Orderings_Obot__class_Obot(tc_fun(_u13773, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u13775, _u13773), _u13775, c_Product__Type_Ofst(_u13775, _u13773)), hAPP(hAPP(c_Product__Type_OSigma(_u13775, _u13773), _u13777), hAPP(c_COMBK(tc_fun(_u13773, tc_HOL_Obool), _u13775), _u13771))) = c_Orderings_Obot__class_Obot(tc_fun(_u13775, tc_HOL_Obool))) )).
% 39.91/40.15 cnf(matrix-6095, plain, ( ( _u13772 = c_Orderings_Obot__class_Obot(tc_fun(_u13774, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u13776, _u13774), _u13776, c_Product__Type_Ofst(_u13776, _u13774)), hAPP(hAPP(c_Product__Type_OSigma(_u13776, _u13774), _u13778), hAPP(c_COMBK(tc_fun(_u13774, tc_HOL_Obool), _u13776), _u13772))) = _u13778) )).
% 39.91/40.15 cnf(matrix-6096, plain, ( ( _u13783 != c_Orderings_Obot__class_Obot(tc_fun(_u13785, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u13785, _u13787), _u13787, c_Product__Type_Osnd(_u13785, _u13787)), hAPP(hAPP(c_Product__Type_OSigma(_u13785, _u13787), _u13783), hAPP(c_COMBK(tc_fun(_u13787, tc_HOL_Obool), _u13785), _u13789))) = c_Orderings_Obot__class_Obot(tc_fun(_u13787, tc_HOL_Obool))) )).
% 39.91/40.15 cnf(matrix-6097, plain, ( ( _u13784 = c_Orderings_Obot__class_Obot(tc_fun(_u13786, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u13786, _u13788), _u13788, c_Product__Type_Osnd(_u13786, _u13788)), hAPP(hAPP(c_Product__Type_OSigma(_u13786, _u13788), _u13784), hAPP(c_COMBK(tc_fun(_u13788, tc_HOL_Obool), _u13786), _u13790))) = _u13790) )).
% 39.91/40.15 cnf(matrix-6098, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13791, _u13792), hAPP(hAPP(c_Set_Oinsert(_u13791), _u13793), _u13794)), hAPP(c_COMBK(tc_fun(_u13792, tc_HOL_Obool), _u13791), hAPP(hAPP(c_Set_Oinsert(_u13792), _u13795), _u13796))) = hAPP(hAPP(c_Set_Oinsert(tc_prod(_u13791, _u13792)), hAPP(hAPP(c_Product__Type_OPair(_u13791, _u13792), _u13793), _u13795)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13791, _u13792), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13791, _u13792), _u13794), hAPP(c_COMBK(tc_fun(_u13792, tc_HOL_Obool), _u13791), hAPP(hAPP(c_Set_Oinsert(_u13792), _u13795), _u13796)))), hAPP(hAPP(c_Product__Type_OSigma(_u13791, _u13792), hAPP(hAPP(c_Set_Oinsert(_u13791), _u13793), _u13794)), hAPP(c_COMBK(tc_fun(_u13792, tc_HOL_Obool), _u13791), _u13796))))) )).
% 39.91/40.15 cnf(matrix-6099, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13797), _u13798)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13797, _u13797), tc_HOL_Obool)), _u13799), hAPP(hAPP(c_Product__Type_OSigma(_u13797, _u13797), _u13798), hAPP(c_COMBK(tc_fun(_u13797, tc_HOL_Obool), _u13797), _u13798)))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u13797, tc_HOL_Obool)), _u13800), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u13797), _u13798), _u13799))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13797), _u13800)) )).
% 39.91/40.15 cnf(matrix-6100, plain, ( ( hAPP(c_Set_Ovimage(_u13801, tc_prod(_u13802, _u13803), _u13804), hAPP(hAPP(c_Product__Type_OSigma(_u13802, _u13803), _u13805), hAPP(c_COMBK(tc_fun(_u13803, tc_HOL_Obool), _u13802), _u13806))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13801, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u13801, _u13802, hAPP(c_Fun_Ocomp(tc_prod(_u13802, _u13803), _u13802, _u13801, c_Product__Type_Ofst(_u13802, _u13803)), _u13804)), _u13805)), hAPP(c_Set_Ovimage(_u13801, _u13803, hAPP(c_Fun_Ocomp(tc_prod(_u13802, _u13803), _u13803, _u13801, c_Product__Type_Osnd(_u13802, _u13803)), _u13804)), _u13806))) )).
% 39.91/40.15 cnf(matrix-6101, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_prod(_u13807, _u13808), tc_fun(tc_prod(_u13809, _u13810), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13807, _u13808), _u13811), hAPP(c_COMBK(tc_fun(_u13808, tc_HOL_Obool), _u13807), _u13812))), hAPP(c_Product__Type_Oprod_Oprod__case(_u13807, _u13808, tc_fun(tc_prod(_u13809, _u13810), tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u13807, tc_fun(_u13808, tc_fun(_u13809, tc_fun(_u13810, tc_HOL_Obool))), tc_fun(_u13808, tc_fun(tc_prod(_u13809, _u13810), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u13809, tc_fun(_u13810, tc_HOL_Obool)), tc_fun(tc_prod(_u13809, _u13810), tc_HOL_Obool)), tc_fun(tc_fun(_u13808, tc_fun(_u13809, tc_fun(_u13810, tc_HOL_Obool))), tc_fun(_u13808, tc_fun(tc_prod(_u13809, _u13810), tc_HOL_Obool))), _u13807), c_COMBB(tc_fun(_u13809, tc_fun(_u13810, tc_HOL_Obool)), tc_fun(tc_prod(_u13809, _u13810), tc_HOL_Obool), _u13808)), hAPP(hAPP(c_COMBB(tc_fun(_u13809, tc_HOL_Obool), tc_fun(tc_fun(_u13809, tc_fun(_u13810, tc_HOL_Obool)), tc_fun(tc_prod(_u13809, _u13810), tc_HOL_Obool)), _u13807), c_Product__Type_OSigma(_u13809, _u13810)), _u13813))), hAPP(hAPP(c_COMBB(tc_fun(_u13810, tc_HOL_Obool), tc_fun(_u13809, tc_fun(_u13810, tc_HOL_Obool)), _u13808), c_COMBK(tc_fun(_u13810, tc_HOL_Obool), _u13809)), _u13814)))) = hAPP(hAPP(c_Product__Type_OSigma(_u13809, _u13810), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13807, tc_fun(_u13809, tc_HOL_Obool)), _u13811), _u13813)), hAPP(c_COMBK(tc_fun(_u13810, tc_HOL_Obool), _u13809), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13808, tc_fun(_u13810, tc_HOL_Obool)), _u13812), _u13814)))) )).
% 39.91/40.15 cnf(matrix-6102, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13815, _u13816), _u13817), _u13818) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13815, tc_fun(tc_prod(_u13815, _u13816), tc_HOL_Obool)), _u13817), hAPP(hAPP(c_COMBS(_u13815, tc_fun(_u13816, tc_fun(tc_prod(_u13815, _u13816), tc_HOL_Obool)), tc_fun(tc_prod(_u13815, _u13816), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13816, tc_HOL_Obool), tc_fun(tc_fun(_u13816, tc_fun(tc_prod(_u13815, _u13816), tc_HOL_Obool)), tc_fun(tc_prod(_u13815, _u13816), tc_HOL_Obool)), _u13815), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13816, tc_fun(tc_prod(_u13815, _u13816), tc_HOL_Obool))), _u13818)), hAPP(hAPP(c_COMBC(_u13815, tc_fun(tc_prod(_u13815, _u13816), tc_HOL_Obool), tc_fun(_u13816, tc_fun(tc_prod(_u13815, _u13816), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13816, tc_fun(tc_fun(tc_prod(_u13815, _u13816), tc_HOL_Obool), tc_fun(tc_prod(_u13815, _u13816), tc_HOL_Obool))), tc_fun(tc_fun(tc_prod(_u13815, _u13816), tc_HOL_Obool), tc_fun(_u13816, tc_fun(tc_prod(_u13815, _u13816), tc_HOL_Obool))), _u13815), c_COMBC(_u13816, tc_fun(tc_prod(_u13815, _u13816), tc_HOL_Obool), tc_fun(tc_prod(_u13815, _u13816), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13816, tc_prod(_u13815, _u13816)), tc_fun(_u13816, tc_fun(tc_fun(tc_prod(_u13815, _u13816), tc_HOL_Obool), tc_fun(tc_prod(_u13815, _u13816), tc_HOL_Obool))), _u13815), hAPP(c_COMBB(tc_prod(_u13815, _u13816), tc_fun(tc_fun(tc_prod(_u13815, _u13816), tc_HOL_Obool), tc_fun(tc_prod(_u13815, _u13816), tc_HOL_Obool)), _u13816), c_Set_Oinsert(tc_prod(_u13815, _u13816)))), c_Product__Type_OPair(_u13815, _u13816)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13815, _u13816), tc_HOL_Obool)))))) )).
% 39.91/40.15 cnf(matrix-6103, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13819), _u13820)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13819, _u13819), tc_HOL_Obool)), _u13821), hAPP(hAPP(c_Product__Type_OSigma(_u13819, _u13819), _u13820), hAPP(c_COMBK(tc_fun(_u13819, tc_HOL_Obool), _u13819), _u13820)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u13819, tc_HOL_Obool)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u13819), _u13820), _u13821))) )).
% 39.91/40.15 cnf(matrix-6104, plain, ( ~class_Rings_Osemiring__0(_u13822) | ~c_Fun_Oinj__on(tc_prod(_u13823, _u13824), _u13822, hAPP(c_Product__Type_Oprod_Oprod__case(_u13823, _u13824, _u13822), hAPP(hAPP(c_COMBC(_u13823, tc_fun(_u13824, _u13822), tc_fun(_u13824, _u13822)), hAPP(hAPP(c_COMBB(tc_fun(_u13822, _u13822), tc_fun(tc_fun(_u13824, _u13822), tc_fun(_u13824, _u13822)), _u13823), c_COMBB(_u13822, _u13822, _u13824)), hAPP(hAPP(c_COMBB(_u13822, tc_fun(_u13822, _u13822), _u13823), c_Groups_Otimes__class_Otimes(_u13822)), _u13825))), _u13826)), hAPP(hAPP(c_Product__Type_OSigma(_u13823, _u13824), _u13827), hAPP(c_COMBK(tc_fun(_u13824, tc_HOL_Obool), _u13823), _u13828))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u13822), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13823, _u13822), _u13825), _u13827)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13824, _u13822), _u13826), _u13828)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13822, _u13822), c_Fun_Oid(_u13822)), hAPP(c_Set_OCollect(_u13822), hAPP(hAPP(c_COMBB(tc_fun(_u13823, tc_HOL_Obool), tc_HOL_Obool, _u13822), c_HOL_OEx(_u13823)), hAPP(hAPP(c_COMBB(tc_fun(_u13823, tc_fun(_u13824, tc_HOL_Obool)), tc_fun(_u13823, tc_HOL_Obool), _u13822), hAPP(c_COMBB(tc_fun(_u13824, tc_HOL_Obool), tc_HOL_Obool, _u13823), c_HOL_OEx(_u13824))), hAPP(hAPP(c_COMBC(_u13822, tc_fun(_u13823, tc_fun(_u13824, tc_HOL_Obool)), tc_fun(_u13823, tc_fun(_u13824, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13823, tc_fun(tc_fun(_u13824, tc_HOL_Obool), tc_fun(_u13824, tc_HOL_Obool))), tc_fun(tc_fun(_u13823, tc_fun(_u13824, tc_HOL_Obool)), tc_fun(_u13823, tc_fun(_u13824, tc_HOL_Obool))), _u13822), c_COMBS(_u13823, tc_fun(_u13824, tc_HOL_Obool), tc_fun(_u13824, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13823, tc_fun(_u13824, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u13823, tc_fun(tc_fun(_u13824, tc_HOL_Obool), tc_fun(_u13824, tc_HOL_Obool))), _u13822), hAPP(c_COMBB(tc_fun(_u13824, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u13824, tc_HOL_Obool), tc_fun(_u13824, tc_HOL_Obool)), _u13823), c_COMBS(_u13824, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13823, tc_fun(_u13824, tc_HOL_Obool)), tc_fun(_u13823, tc_fun(_u13824, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u13822), hAPP(c_COMBB(tc_fun(_u13824, tc_HOL_Obool), tc_fun(_u13824, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u13823), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13824), c_fconj))), hAPP(hAPP(c_COMBC(_u13822, tc_fun(_u13823, tc_fun(_u13824, _u13822)), tc_fun(_u13823, tc_fun(_u13824, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u13824, _u13822), tc_fun(_u13824, tc_HOL_Obool)), tc_fun(tc_fun(_u13823, tc_fun(_u13824, _u13822)), tc_fun(_u13823, tc_fun(_u13824, tc_HOL_Obool))), _u13822), c_COMBB(tc_fun(_u13824, _u13822), tc_fun(_u13824, tc_HOL_Obool), _u13823)), hAPP(hAPP(c_COMBB(tc_fun(_u13822, tc_HOL_Obool), tc_fun(tc_fun(_u13824, _u13822), tc_fun(_u13824, tc_HOL_Obool)), _u13822), c_COMBB(_u13822, tc_HOL_Obool, _u13824)), c_fequal))), hAPP(hAPP(c_COMBC(_u13823, tc_fun(_u13824, _u13822), tc_fun(_u13824, _u13822)), hAPP(hAPP(c_COMBB(tc_fun(_u13822, _u13822), tc_fun(tc_fun(_u13824, _u13822), tc_fun(_u13824, _u13822)), _u13823), c_COMBB(_u13822, _u13822, _u13824)), hAPP(hAPP(c_COMBB(_u13822, tc_fun(_u13822, _u13822), _u13823), c_Groups_Otimes__class_Otimes(_u13822)), _u13825))), _u13826)))))), hAPP(hAPP(c_COMBC(_u13823, tc_fun(_u13824, tc_HOL_Obool), tc_fun(_u13824, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13824, tc_HOL_Obool), tc_fun(_u13824, tc_HOL_Obool)), _u13823), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13824)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13823), c_fconj), hAPP(hAPP(c_COMBC(_u13823, tc_fun(_u13823, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13823)), _u13827)))), hAPP(hAPP(c_COMBC(_u13824, tc_fun(_u13824, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13824)), _u13828)))))))) )).
% 39.91/40.15 cnf(matrix-6105, plain, ( c_Fun_Oinj__on(_u13830, tc_prod(_u13831, _u13830), skolem305(_u13833, _u13832, _u13831, _u13830), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13831, tc_fun(_u13830, tc_HOL_Obool)), _u13832), _u13833)) )).
% 39.91/40.15 cnf(matrix-6106, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13831, _u13830), tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13830, tc_prod(_u13831, _u13830), skolem305(_u13833, _u13832, _u13831, _u13830)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13831, tc_fun(_u13830, tc_HOL_Obool)), _u13832), _u13833))), hAPP(hAPP(c_Product__Type_OSigma(_u13831, _u13830), _u13832), _u13833))) )).
% 39.91/40.15 cnf(matrix-6107, plain, ( ~class_Groups_Ocomm__monoid__mult(_u13835) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13836), _u13837)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13835, _u13836, c_Groups_Otimes__class_Otimes(_u13835)), hAPP(hAPP(c_COMBS(_u13836, tc_fun(_u13838, tc_HOL_Obool), _u13835), hAPP(hAPP(c_COMBC(_u13836, _u13835, tc_fun(tc_fun(_u13838, tc_HOL_Obool), _u13835)), hAPP(hAPP(c_COMBB(tc_fun(_u13838, _u13835), tc_fun(_u13835, tc_fun(tc_fun(_u13838, tc_HOL_Obool), _u13835)), _u13836), c_Finite__Set_Ofold__image(_u13835, _u13838, c_Groups_Otimes__class_Otimes(_u13835))), _u13840)), c_Groups_Oone__class_Oone(_u13835))), _u13839)), c_Groups_Oone__class_Oone(_u13835)), _u13837) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13835, tc_prod(_u13836, _u13838), c_Groups_Otimes__class_Otimes(_u13835)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13836, _u13838, _u13835), _u13840)), c_Groups_Oone__class_Oone(_u13835)), hAPP(hAPP(c_Product__Type_OSigma(_u13836, _u13838), _u13837), _u13839))) | hBOOL(hAPP(hAPP(c_member(_u13836), skolem306(_u13840, _u13839, _u13838, _u13837, _u13836, _u13835)), _u13837)) )).
% 39.91/40.15 cnf(matrix-6108, plain, ( ~class_Groups_Ocomm__monoid__mult(_u13835) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13836), _u13837)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13835, _u13836, c_Groups_Otimes__class_Otimes(_u13835)), hAPP(hAPP(c_COMBS(_u13836, tc_fun(_u13838, tc_HOL_Obool), _u13835), hAPP(hAPP(c_COMBC(_u13836, _u13835, tc_fun(tc_fun(_u13838, tc_HOL_Obool), _u13835)), hAPP(hAPP(c_COMBB(tc_fun(_u13838, _u13835), tc_fun(_u13835, tc_fun(tc_fun(_u13838, tc_HOL_Obool), _u13835)), _u13836), c_Finite__Set_Ofold__image(_u13835, _u13838, c_Groups_Otimes__class_Otimes(_u13835))), _u13840)), c_Groups_Oone__class_Oone(_u13835))), _u13839)), c_Groups_Oone__class_Oone(_u13835)), _u13837) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13835, tc_prod(_u13836, _u13838), c_Groups_Otimes__class_Otimes(_u13835)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13836, _u13838, _u13835), _u13840)), c_Groups_Oone__class_Oone(_u13835)), hAPP(hAPP(c_Product__Type_OSigma(_u13836, _u13838), _u13837), _u13839))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13838), hAPP(_u13839, skolem306(_u13840, _u13839, _u13838, _u13837, _u13836, _u13835)))) )).
% 39.91/40.15 cnf(matrix-6109, plain, ( ( hAPP(c_Set_Oimage(_u13841, _u13841, c_Fun_Oid(_u13841)), _u13842) = _u13842) )).
% 39.91/40.15 cnf(matrix-6110, plain, ( ( c_Int_Oring__1__class_Oof__int(tc_Int_Oint) = c_Fun_Oid(tc_Int_Oint)) )).
% 39.91/40.15 cnf(matrix-6111, plain, ( ( c_Product__Type_Oapsnd(_u13843, _u13843, _u13844, c_Fun_Oid(_u13843)) = c_Fun_Oid(tc_prod(_u13844, _u13843))) )).
% 39.91/40.15 cnf(matrix-6112, plain, ( ( hAPP(c_Fun_Ocomp(_u13845, _u13845, _u13846, c_Fun_Oid(_u13845)), _u13847) = _u13847) )).
% 39.91/40.15 cnf(matrix-6113, plain, ( ( hAPP(c_Fun_Ocomp(_u13848, _u13849, _u13848, _u13850), c_Fun_Oid(_u13848)) = _u13850) )).
% 39.91/40.15 cnf(matrix-6114, plain, ( ( hAPP(_u13854, hAPP(_u13855, _u13857)) = hAPP(_u13856, _u13857)) | ( hAPP(c_Fun_Ocomp(_u13851, _u13852, _u13853, _u13854), _u13855) != hAPP(c_Fun_Ocomp(_u13852, _u13852, _u13853, c_Fun_Oid(_u13852)), _u13856)) )).
% 39.91/40.15 cnf(matrix-6115, plain, ( ( hAPP(c_Set_Ovimage(_u13858, _u13858, c_Fun_Oid(_u13858)), _u13859) = _u13859) )).
% 39.91/40.15 cnf(matrix-6116, plain, ( ( hAPP(c_Fun_Oid(_u13860), _u13861) = _u13861) )).
% 39.91/40.15 cnf(matrix-6117, plain, ( ( hAPP(c_Fun_Oid(_u13862), _u13863) = _u13863) )).
% 39.91/40.15 cnf(matrix-6118, plain, ( c_Fun_Oinj__on(_u13864, _u13864, c_Fun_Oid(_u13864), _u13865) )).
% 39.91/40.15 cnf(matrix-6119, plain, ( ( c_Product__Type_Oapfst(_u13866, _u13866, _u13867, c_Fun_Oid(_u13866)) = c_Fun_Oid(tc_prod(_u13866, _u13867))) )).
% 39.91/40.15 cnf(matrix-6120, plain, ( ( hAPP(c_Set_Oimage(_u13868, _u13868, c_Fun_Oid(_u13868)), c_Orderings_Otop__class_Otop(tc_fun(_u13868, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u13868, tc_HOL_Obool))) )).
% 39.91/40.15 cnf(matrix-6121, plain, ( ~c_Finite__Set_Ofolding(_u13869, _u13870, _u13871, _u13872) | ( hAPP(_u13872, c_Orderings_Obot__class_Obot(tc_fun(_u13869, tc_HOL_Obool))) = c_Fun_Oid(_u13870)) )).
% 39.91/40.15 cnf(matrix-6122, plain, ( ( hAPP(c_Product__Type_Oprod_Oprod__case(_u13873, _u13874, tc_prod(_u13873, _u13874)), c_Product__Type_OPair(_u13873, _u13874)) = c_Fun_Oid(tc_prod(_u13873, _u13874))) )).
% 39.91/40.15 cnf(matrix-6123, plain, ( ~class_Groups_Ocomm__monoid__add(_u13875) | ~c_Fun_Oinj__on(_u13876, _u13875, _u13877, _u13878) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13876, _u13875), _u13877), _u13878) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13875, _u13875), c_Fun_Oid(_u13875)), hAPP(c_Set_Oimage(_u13876, _u13875, _u13877), _u13878))) )).
% 39.91/40.15 cnf(matrix-6124, plain, ( ~class_Groups_Ocomm__monoid__mult(_u13879) | ~c_Fun_Oinj__on(_u13880, _u13879, _u13881, _u13882) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13880, _u13879), _u13881), _u13882) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13879, _u13879), c_Fun_Oid(_u13879)), hAPP(c_Set_Oimage(_u13880, _u13879, _u13881), _u13882))) )).
% 39.91/40.15 cnf(matrix-6125, plain, ( ~class_Groups_Ocomm__monoid__mult(_u13884) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13885), _u13886)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13885, _u13884), hAPP(hAPP(c_COMBS(_u13885, tc_fun(_u13887, tc_HOL_Obool), _u13884), hAPP(hAPP(c_COMBB(tc_fun(_u13887, _u13884), tc_fun(tc_fun(_u13887, tc_HOL_Obool), _u13884), _u13885), c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13887, _u13884)), _u13889)), _u13888)), _u13886) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(_u13885, _u13887), _u13884), hAPP(c_Product__Type_Oprod_Oprod__case(_u13885, _u13887, _u13884), _u13889)), hAPP(hAPP(c_Product__Type_OSigma(_u13885, _u13887), _u13886), _u13888))) | hBOOL(hAPP(hAPP(c_member(_u13885), skolem307(_u13889, _u13888, _u13887, _u13886, _u13885, _u13884)), _u13886)) )).
% 39.91/40.15 cnf(matrix-6126, plain, ( ~class_Groups_Ocomm__monoid__mult(_u13884) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13885), _u13886)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13885, _u13884), hAPP(hAPP(c_COMBS(_u13885, tc_fun(_u13887, tc_HOL_Obool), _u13884), hAPP(hAPP(c_COMBB(tc_fun(_u13887, _u13884), tc_fun(tc_fun(_u13887, tc_HOL_Obool), _u13884), _u13885), c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13887, _u13884)), _u13889)), _u13888)), _u13886) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(_u13885, _u13887), _u13884), hAPP(c_Product__Type_Oprod_Oprod__case(_u13885, _u13887, _u13884), _u13889)), hAPP(hAPP(c_Product__Type_OSigma(_u13885, _u13887), _u13886), _u13888))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13887), hAPP(_u13888, skolem307(_u13889, _u13888, _u13887, _u13886, _u13885, _u13884)))) )).
% 39.91/40.15 cnf(matrix-6127, plain, ( ~class_Groups_Ocomm__monoid__add(_u13891) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13892), _u13893)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13892, _u13891), hAPP(hAPP(c_COMBS(_u13892, tc_fun(_u13894, tc_HOL_Obool), _u13891), hAPP(hAPP(c_COMBB(tc_fun(_u13894, _u13891), tc_fun(tc_fun(_u13894, tc_HOL_Obool), _u13891), _u13892), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13894, _u13891)), _u13896)), _u13895)), _u13893) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(_u13892, _u13894), _u13891), hAPP(c_Product__Type_Oprod_Oprod__case(_u13892, _u13894, _u13891), _u13896)), hAPP(hAPP(c_Product__Type_OSigma(_u13892, _u13894), _u13893), _u13895))) | hBOOL(hAPP(hAPP(c_member(_u13892), skolem308(_u13896, _u13895, _u13894, _u13893, _u13892, _u13891)), _u13893)) )).
% 39.91/40.15 cnf(matrix-6128, plain, ( ~class_Groups_Ocomm__monoid__add(_u13891) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13892), _u13893)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13892, _u13891), hAPP(hAPP(c_COMBS(_u13892, tc_fun(_u13894, tc_HOL_Obool), _u13891), hAPP(hAPP(c_COMBB(tc_fun(_u13894, _u13891), tc_fun(tc_fun(_u13894, tc_HOL_Obool), _u13891), _u13892), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13894, _u13891)), _u13896)), _u13895)), _u13893) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(_u13892, _u13894), _u13891), hAPP(c_Product__Type_Oprod_Oprod__case(_u13892, _u13894, _u13891), _u13896)), hAPP(hAPP(c_Product__Type_OSigma(_u13892, _u13894), _u13893), _u13895))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13894), hAPP(_u13895, skolem308(_u13896, _u13895, _u13894, _u13893, _u13892, _u13891)))) )).
% 39.91/40.15 cnf(matrix-6129, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13898), _u13899)) | ( hAPP(c_Finite__Set_Ocard(tc_prod(_u13898, _u13900)), hAPP(hAPP(c_Product__Type_OSigma(_u13898, _u13900), _u13899), _u13901)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13898, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u13900, tc_HOL_Obool), tc_Nat_Onat, _u13898), c_Finite__Set_Ocard(_u13900)), _u13901)), _u13899)) | hBOOL(hAPP(hAPP(c_member(_u13898), skolem309(_u13901, _u13900, _u13899, _u13898)), _u13899)) )).
% 39.91/40.15 cnf(matrix-6130, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13898), _u13899)) | ( hAPP(c_Finite__Set_Ocard(tc_prod(_u13898, _u13900)), hAPP(hAPP(c_Product__Type_OSigma(_u13898, _u13900), _u13899), _u13901)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13898, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u13900, tc_HOL_Obool), tc_Nat_Onat, _u13898), c_Finite__Set_Ocard(_u13900)), _u13901)), _u13899)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13900), hAPP(_u13901, skolem309(_u13901, _u13900, _u13899, _u13898)))) )).
% 39.91/40.15 cnf(matrix-6131, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13903), _u13904)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13903, _u13905)), hAPP(hAPP(c_Product__Type_OSigma(_u13903, _u13905), _u13904), _u13906))) | hBOOL(hAPP(hAPP(c_member(_u13903), skolem310(_u13906, _u13905, _u13904, _u13903)), _u13904)) )).
% 39.91/40.15 cnf(matrix-6132, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13903), _u13904)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13903, _u13905)), hAPP(hAPP(c_Product__Type_OSigma(_u13903, _u13905), _u13904), _u13906))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13905), hAPP(_u13906, skolem310(_u13906, _u13905, _u13904, _u13903)))) )).
% 39.91/40.15 cnf(matrix-6133, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13909, _u13910)), _u13911), hAPP(hAPP(c_Product__Type_OSigma(_u13909, _u13910), _u13912), _u13913))) | hBOOL(hAPP(hAPP(c_member(_u13909), skolem311(_u13913, _u13912, _u13911, _u13910, _u13909)), _u13912)) )).
% 39.91/40.15 cnf(matrix-6134, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13909, _u13910)), _u13911), hAPP(hAPP(c_Product__Type_OSigma(_u13909, _u13910), _u13912), _u13913))) | hBOOL(hAPP(hAPP(c_member(_u13910), skolem312(_u13913, _u13912, _u13911, _u13910, _u13909)), hAPP(_u13913, skolem311(_u13913, _u13912, _u13911, _u13910, _u13909)))) )).
% 39.91/40.15 cnf(matrix-6135, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13909, _u13910)), _u13911), hAPP(hAPP(c_Product__Type_OSigma(_u13909, _u13910), _u13912), _u13913))) | ( _u13911 = hAPP(hAPP(c_Product__Type_OPair(_u13909, _u13910), skolem311(_u13913, _u13912, _u13911, _u13910, _u13909)), skolem312(_u13913, _u13912, _u13911, _u13910, _u13909))) )).
% 39.91/40.15 cnf(matrix-6136, plain, ( ( hAPP(c_Set_Oimage(_u13914, _u13915, _u13916), c_Orderings_Otop__class_Otop(tc_fun(_u13914, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u13915, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u13917, _u13918, _u13919), c_Orderings_Otop__class_Otop(tc_fun(_u13917, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u13918, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u13914, _u13917), tc_prod(_u13915, _u13918), c_Product__Type_Omap__pair(_u13914, _u13915, _u13917, _u13918, _u13916, _u13919)), c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u13914, _u13917), tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u13915, _u13918), tc_HOL_Obool))) )).
% 39.91/40.15 cnf(matrix-6137, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13920, _u13921)), hAPP(hAPP(c_Product__Type_OPair(_u13920, _u13921), _u13922), _u13923)), _u13924)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13925, _u13926)), hAPP(hAPP(c_Product__Type_OPair(_u13925, _u13926), hAPP(_u13927, _u13922)), hAPP(_u13928, _u13923))), hAPP(c_Set_Oimage(tc_prod(_u13920, _u13921), tc_prod(_u13925, _u13926), c_Product__Type_Omap__pair(_u13920, _u13925, _u13921, _u13926, _u13927, _u13928)), _u13924))) )).
% 39.91/40.15 cnf(matrix-6138, plain, ( ( hAPP(c_Product__Type_Osnd(_u13929, _u13930), hAPP(c_Product__Type_Omap__pair(_u13931, _u13929, _u13932, _u13930, _u13933, _u13934), _u13935)) = hAPP(_u13934, hAPP(c_Product__Type_Osnd(_u13931, _u13932), _u13935))) )).
% 39.91/40.15 cnf(matrix-6139, plain, ( ( hAPP(c_Product__Type_Ofst(_u13936, _u13937), hAPP(c_Product__Type_Omap__pair(_u13938, _u13936, _u13939, _u13937, _u13940, _u13941), _u13942)) = hAPP(_u13940, hAPP(c_Product__Type_Ofst(_u13938, _u13939), _u13942))) )).
% 39.91/40.15 cnf(matrix-6140, plain, ( ( hAPP(c_Product__Type_Omap__pair(_u13943, _u13944, _u13945, _u13946, _u13947, _u13948), hAPP(hAPP(c_Product__Type_OPair(_u13943, _u13945), _u13949), _u13950)) = hAPP(hAPP(c_Product__Type_OPair(_u13944, _u13946), hAPP(_u13947, _u13949)), hAPP(_u13948, _u13950))) )).
% 39.91/40.15 cnf(matrix-6141, plain, ( ( hAPP(c_Product__Type_Omap__pair(_u13951, _u13951, _u13952, _u13952, c_COMBI(_u13951), c_COMBI(_u13952)), _u13953) = _u13953) )).
% 39.91/40.15 cnf(matrix-6142, plain, ( ( hAPP(c_Product__Type_Omap__pair(_u13954, _u13955, _u13956, _u13957, _u13958, _u13959), hAPP(c_Product__Type_Omap__pair(_u13960, _u13954, _u13961, _u13956, _u13962, _u13963), _u13964)) = hAPP(c_Product__Type_Omap__pair(_u13960, _u13955, _u13961, _u13957, hAPP(c_Fun_Ocomp(_u13954, _u13955, _u13960, _u13958), _u13962), hAPP(c_Fun_Ocomp(_u13956, _u13957, _u13961, _u13959), _u13963)), _u13964)) )).
% 39.91/40.15 cnf(matrix-6143, plain, ( ( c_Product__Type_Omap__pair(_u13965, _u13966, _u13967, _u13968, hAPP(c_Fun_Ocomp(_u13969, _u13966, _u13965, _u13970), _u13971), hAPP(c_Fun_Ocomp(_u13972, _u13968, _u13967, _u13973), _u13974)) = hAPP(c_Fun_Ocomp(tc_prod(_u13969, _u13972), tc_prod(_u13966, _u13968), tc_prod(_u13965, _u13967), c_Product__Type_Omap__pair(_u13969, _u13966, _u13972, _u13968, _u13970, _u13973)), c_Product__Type_Omap__pair(_u13965, _u13969, _u13967, _u13972, _u13971, _u13974))) )).
% 39.91/40.15 cnf(matrix-6144, plain, ( ( hAPP(c_Fun_Ocomp(tc_prod(_u13975, _u13976), tc_prod(_u13977, _u13978), tc_prod(_u13979, _u13980), c_Product__Type_Omap__pair(_u13975, _u13977, _u13976, _u13978, _u13981, _u13982)), c_Product__Type_Omap__pair(_u13979, _u13975, _u13980, _u13976, _u13983, _u13984)) = c_Product__Type_Omap__pair(_u13979, _u13977, _u13980, _u13978, hAPP(c_Fun_Ocomp(_u13975, _u13977, _u13979, _u13981), _u13983), hAPP(c_Fun_Ocomp(_u13976, _u13978, _u13980, _u13982), _u13984))) )).
% 39.91/40.15 cnf(matrix-6145, plain, ( ( hAPP(c_Fun_Ocomp(tc_prod(_u13985, _u13986), _u13985, tc_prod(_u13987, _u13988), c_Product__Type_Ofst(_u13985, _u13986)), c_Product__Type_Omap__pair(_u13987, _u13985, _u13988, _u13986, _u13989, _u13990)) = hAPP(c_Fun_Ocomp(_u13987, _u13985, tc_prod(_u13987, _u13988), _u13989), c_Product__Type_Ofst(_u13987, _u13988))) )).
% 39.91/40.15 cnf(matrix-6146, plain, ( ( hAPP(c_Fun_Ocomp(tc_prod(_u13991, _u13992), _u13992, tc_prod(_u13993, _u13994), c_Product__Type_Osnd(_u13991, _u13992)), c_Product__Type_Omap__pair(_u13993, _u13991, _u13994, _u13992, _u13995, _u13996)) = hAPP(c_Fun_Ocomp(_u13994, _u13992, tc_prod(_u13993, _u13994), _u13996), c_Product__Type_Osnd(_u13993, _u13994))) )).
% 39.91/40.15 cnf(matrix-6147, plain, ( ( c_Product__Type_Omap__pair(_u13997, _u13997, _u13998, _u13998, c_COMBI(_u13997), c_COMBI(_u13998)) = c_Fun_Oid(tc_prod(_u13997, _u13998))) )).
% 39.91/40.15 cnf(matrix-6148, plain, ( ( c_Product__Type_Oapsnd(_u13999, _u14000, _u14001, _u14002) = c_Product__Type_Omap__pair(_u14001, _u14001, _u13999, _u14000, c_Fun_Oid(_u14001), _u14002)) )).
% 39.91/40.15 cnf(matrix-6149, plain, ( ( c_Product__Type_Oapfst(_u14003, _u14004, _u14005, _u14006) = c_Product__Type_Omap__pair(_u14003, _u14004, _u14005, _u14005, _u14006, c_Fun_Oid(_u14005))) )).
% 39.91/40.15 cnf(matrix-6150, plain, ( ( c_Product__Type_Omap__pair(_u14007, _u14007, _u14008, _u14008, c_Fun_Oid(_u14007), c_Fun_Oid(_u14008)) = c_Fun_Oid(tc_prod(_u14007, _u14008))) )).
% 39.91/40.15 cnf(matrix-6151, plain, ( ( c_Product__Type_Omap__pair(_u14009, _u14010, _u14011, _u14012, _u14013, _u14014) = hAPP(c_Product__Type_Oprod_Oprod__case(_u14009, _u14011, tc_prod(_u14010, _u14012)), hAPP(hAPP(c_COMBC(_u14009, tc_fun(_u14011, _u14012), tc_fun(_u14011, tc_prod(_u14010, _u14012))), hAPP(hAPP(c_COMBB(tc_fun(_u14012, tc_prod(_u14010, _u14012)), tc_fun(tc_fun(_u14011, _u14012), tc_fun(_u14011, tc_prod(_u14010, _u14012))), _u14009), c_COMBB(_u14012, tc_prod(_u14010, _u14012), _u14011)), hAPP(hAPP(c_COMBB(_u14010, tc_fun(_u14012, tc_prod(_u14010, _u14012)), _u14009), c_Product__Type_OPair(_u14010, _u14012)), _u14013))), _u14014))) )).
% 39.91/40.15 cnf(matrix-6152, plain, ( ( hAPP(c_Set_Oimage(_u14015, _u14016, _u14017), _u14018) != _u14019) | ( hAPP(c_Set_Oimage(_u14020, _u14021, _u14022), _u14023) != _u14024) | ( hAPP(c_Set_Oimage(tc_prod(_u14015, _u14020), tc_prod(_u14016, _u14021), c_Product__Type_Omap__pair(_u14015, _u14016, _u14020, _u14021, _u14017, _u14022)), hAPP(hAPP(c_Product__Type_OSigma(_u14015, _u14020), _u14018), hAPP(c_COMBK(tc_fun(_u14020, tc_HOL_Obool), _u14015), _u14023))) = hAPP(hAPP(c_Product__Type_OSigma(_u14016, _u14021), _u14019), hAPP(c_COMBK(tc_fun(_u14021, tc_HOL_Obool), _u14016), _u14024))) )).
% 39.91/40.15 cnf(matrix-6153, plain, ( ~c_Wellfounded_Owf(_u14025, _u14026) | ~c_Fun_Oinj__on(_u14025, _u14027, _u14028, c_Orderings_Otop__class_Otop(tc_fun(_u14025, tc_HOL_Obool))) | c_Wellfounded_Owf(_u14027, hAPP(c_Set_Oimage(tc_prod(_u14025, _u14025), tc_prod(_u14027, _u14027), c_Product__Type_Omap__pair(_u14025, _u14027, _u14025, _u14027, _u14028, _u14028)), _u14026)) )).
% 39.91/40.15 cnf(matrix-6154, plain, ( ~c_Fun_Oinj__on(_u14029, _u14030, _u14031, _u14032) | ~c_Fun_Oinj__on(_u14033, _u14034, _u14035, _u14036) | c_Fun_Oinj__on(tc_prod(_u14029, _u14033), tc_prod(_u14030, _u14034), c_Product__Type_Omap__pair(_u14029, _u14030, _u14033, _u14034, _u14031, _u14035), hAPP(hAPP(c_Product__Type_OSigma(_u14029, _u14033), _u14032), hAPP(c_COMBK(tc_fun(_u14033, tc_HOL_Obool), _u14029), _u14036))) )).
% 39.91/40.15 cnf(matrix-6155, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14039, _u14040)), _u14041), hAPP(c_Set_Oimage(tc_prod(_u14042, _u14043), tc_prod(_u14039, _u14040), c_Product__Type_Omap__pair(_u14042, _u14039, _u14043, _u14040, _u14044, _u14045)), _u14046))) | ( _u14041 = hAPP(hAPP(c_Product__Type_OPair(_u14039, _u14040), hAPP(_u14044, skolem313(_u14046, _u14045, _u14044, _u14043, _u14042, _u14041, _u14040, _u14039))), hAPP(_u14045, skolem314(_u14046, _u14045, _u14044, _u14043, _u14042, _u14041, _u14040, _u14039)))) )).
% 39.91/40.15 cnf(matrix-6156, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14039, _u14040)), _u14041), hAPP(c_Set_Oimage(tc_prod(_u14042, _u14043), tc_prod(_u14039, _u14040), c_Product__Type_Omap__pair(_u14042, _u14039, _u14043, _u14040, _u14044, _u14045)), _u14046))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14042, _u14043)), hAPP(hAPP(c_Product__Type_OPair(_u14042, _u14043), skolem313(_u14046, _u14045, _u14044, _u14043, _u14042, _u14041, _u14040, _u14039)), skolem314(_u14046, _u14045, _u14044, _u14043, _u14042, _u14041, _u14040, _u14039))), _u14046)) )).
% 39.91/40.15 cnf(matrix-6157, plain, ( ~c_Relation_Orefl__on(_u14052, _u14054, _u14056) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14052, _u14052), tc_HOL_Obool)), _u14056), hAPP(hAPP(c_Product__Type_OSigma(_u14052, _u14052), _u14054), hAPP(c_COMBK(tc_fun(_u14052, tc_HOL_Obool), _u14052), _u14054)))) )).
% 39.91/40.15 cnf(matrix-6158, plain, ( ~c_Relation_Orefl__on(_u14052, _u14054, _u14056) | ~hBOOL(hAPP(hAPP(c_member(_u14052), _u14047), _u14054)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14052, _u14052)), hAPP(hAPP(c_Product__Type_OPair(_u14052, _u14052), _u14047), _u14047)), _u14056)) )).
% 39.91/40.15 cnf(matrix-6159, plain, ( c_Relation_Orefl__on(_u14053, _u14055, _u14057) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14053, _u14053), tc_HOL_Obool)), _u14057), hAPP(hAPP(c_Product__Type_OSigma(_u14053, _u14053), _u14055), hAPP(c_COMBK(tc_fun(_u14053, tc_HOL_Obool), _u14053), _u14055)))) | hBOOL(hAPP(hAPP(c_member(_u14053), skolem315(_u14057, _u14055, _u14053)), _u14055)) )).
% 39.91/40.15 cnf(matrix-6160, plain, ( c_Relation_Orefl__on(_u14053, _u14055, _u14057) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14053, _u14053), tc_HOL_Obool)), _u14057), hAPP(hAPP(c_Product__Type_OSigma(_u14053, _u14053), _u14055), hAPP(c_COMBK(tc_fun(_u14053, tc_HOL_Obool), _u14053), _u14055)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14053, _u14053)), hAPP(hAPP(c_Product__Type_OPair(_u14053, _u14053), skolem315(_u14057, _u14055, _u14053)), skolem315(_u14057, _u14055, _u14053))), _u14057)) )).
% 39.91/40.15 cnf(matrix-6161, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem316(_u14062, _u14061, _u14060)), _u14060)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u14061, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u14062)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u14062), hAPP(_u14061, _u14060))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem317(_u14062, _u14061, _u14060)), _u14060)) )).
% 39.91/40.15 cnf(matrix-6162, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem316(_u14062, _u14061, _u14060)), _u14060)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u14061, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u14062)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u14062), hAPP(_u14061, _u14060))) | ( hAPP(_u14061, skolem317(_u14062, _u14061, _u14060)) = _u14062) )).
% 39.91/40.15 cnf(matrix-6163, 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(_u14061, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem316(_u14062, _u14061, _u14060)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u14061, skolem316(_u14062, _u14061, _u14060))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u14061, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u14062)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u14062), hAPP(_u14061, _u14060))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem317(_u14062, _u14061, _u14060)), _u14060)) )).
% 39.91/40.15 cnf(matrix-6164, 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(_u14061, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem316(_u14062, _u14061, _u14060)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u14061, skolem316(_u14062, _u14061, _u14060))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u14061, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u14062)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u14062), hAPP(_u14061, _u14060))) | ( hAPP(_u14061, skolem317(_u14062, _u14061, _u14060)) = _u14062) )).
% 39.91/40.15 cnf(matrix-6165, plain, ( c_Relation_Orefl__on(_u14063, _u14064, c_Relation_OId__on(_u14063, _u14064)) )).
% 39.91/40.15 cnf(matrix-6166, plain, ( c_Relation_Orefl__on(_u14065, c_Orderings_Obot__class_Obot(tc_fun(_u14065, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14065, _u14065), tc_HOL_Obool))) )).
% 39.91/40.15 cnf(matrix-6167, plain, ( ~c_Relation_Orefl__on(_u14066, _u14067, _u14068) | ~c_Relation_Orefl__on(_u14066, _u14069, _u14070) | c_Relation_Orefl__on(_u14066, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14066, tc_HOL_Obool)), _u14067), _u14069), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14066, _u14066), tc_HOL_Obool)), _u14068), _u14070)) )).
% 39.91/40.15 cnf(matrix-6168, plain, ( ~c_Relation_Orefl__on(_u14071, _u14072, _u14073) | ~c_Relation_Orefl__on(_u14071, _u14074, _u14075) | c_Relation_Orefl__on(_u14071, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14071, tc_HOL_Obool)), _u14072), _u14074), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u14071, _u14071), tc_HOL_Obool)), _u14073), _u14075)) )).
% 39.91/40.15 cnf(matrix-6169, plain, ( ~c_Relation_Orefl__on(_u14076, _u14077, _u14078) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14076, _u14076)), hAPP(hAPP(c_Product__Type_OPair(_u14076, _u14076), _u14079), _u14080)), _u14078)) | hBOOL(hAPP(hAPP(c_member(_u14076), _u14080), _u14077)) )).
% 39.91/40.15 cnf(matrix-6170, plain, ( ~c_Relation_Orefl__on(_u14081, _u14082, _u14083) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14081, _u14081)), hAPP(hAPP(c_Product__Type_OPair(_u14081, _u14081), _u14084), _u14085)), _u14083)) | hBOOL(hAPP(hAPP(c_member(_u14081), _u14084), _u14082)) )).
% 39.91/40.15 cnf(matrix-6171, plain, ( ~c_Relation_Orefl__on(_u14086, _u14087, _u14088) | ~hBOOL(hAPP(hAPP(c_member(_u14086), _u14089), _u14087)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14086, _u14086)), hAPP(hAPP(c_Product__Type_OPair(_u14086, _u14086), _u14089), _u14089)), _u14088)) )).
% 39.91/40.15 cnf(matrix-6172, plain, ( ~c_Predicate_Oreflp(_u14092, _u14094) | c_Relation_Orefl__on(_u14092, c_Orderings_Otop__class_Otop(tc_fun(_u14092, tc_HOL_Obool)), hAPP(c_Set_OCollect(tc_prod(_u14092, _u14092)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14092, _u14092, tc_HOL_Obool), _u14094))) )).
% 39.91/40.15 cnf(matrix-6173, plain, ( ~c_Relation_Orefl__on(_u14093, c_Orderings_Otop__class_Otop(tc_fun(_u14093, tc_HOL_Obool)), hAPP(c_Set_OCollect(tc_prod(_u14093, _u14093)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14093, _u14093, tc_HOL_Obool), _u14095))) | c_Predicate_Oreflp(_u14093, _u14095) )).
% 39.91/40.15 cnf(matrix-6174, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14097, _u14097), tc_HOL_Obool)), _u14098), hAPP(hAPP(c_Product__Type_OSigma(_u14097, _u14097), _u14099), hAPP(c_COMBK(tc_fun(_u14097, tc_HOL_Obool), _u14097), _u14099)))) | c_Relation_Orefl__on(_u14097, _u14099, _u14098) | hBOOL(hAPP(hAPP(c_member(_u14097), skolem318(_u14099, _u14098, _u14097)), _u14099)) )).
% 39.91/40.15 cnf(matrix-6175, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14097, _u14097), tc_HOL_Obool)), _u14098), hAPP(hAPP(c_Product__Type_OSigma(_u14097, _u14097), _u14099), hAPP(c_COMBK(tc_fun(_u14097, tc_HOL_Obool), _u14097), _u14099)))) | c_Relation_Orefl__on(_u14097, _u14099, _u14098) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14097, _u14097)), hAPP(hAPP(c_Product__Type_OPair(_u14097, _u14097), skolem318(_u14099, _u14098, _u14097)), skolem318(_u14099, _u14098, _u14097))), _u14098)) )).
% 39.91/40.15 cnf(matrix-6176, plain, ( ~class_Groups_Oab__semigroup__mult(_u14100) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14100), _u14101)) | ( _u14101 = c_Orderings_Obot__class_Obot(tc_fun(_u14100, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14100), _u14102)) | ( _u14102 = c_Orderings_Obot__class_Obot(tc_fun(_u14100, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14100, tc_HOL_Obool)), _u14101), _u14102) != c_Orderings_Obot__class_Obot(tc_fun(_u14100, tc_HOL_Obool))) | ( hAPP(c_Finite__Set_Ofold1(_u14100, c_Groups_Otimes__class_Otimes(_u14100)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14100, tc_HOL_Obool)), _u14101), _u14102)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u14100), hAPP(c_Finite__Set_Ofold1(_u14100, c_Groups_Otimes__class_Otimes(_u14100)), _u14101)), hAPP(c_Finite__Set_Ofold1(_u14100, c_Groups_Otimes__class_Otimes(_u14100)), _u14102))) )).
% 39.91/40.15 cnf(matrix-6177, plain, ( hBOOL(hAPP(hAPP(_u14104, _u14105), _u14105)) | ~c_Predicate_Oreflp(_u14103, _u14104) )).
% 39.91/40.15 cnf(matrix-6178, plain, ( ( _u14106 != c_Finite__Set_Ofold1(_u14107, _u14108)) | ( hAPP(_u14106, hAPP(hAPP(c_Set_Oinsert(_u14107), _u14109), c_Orderings_Obot__class_Obot(tc_fun(_u14107, tc_HOL_Obool)))) = _u14109) )).
% 39.91/40.15 cnf(matrix-6179, plain, ( ( hAPP(c_Finite__Set_Ofold1(_u14110, _u14111), hAPP(hAPP(c_Set_Oinsert(_u14110), _u14112), c_Orderings_Obot__class_Obot(tc_fun(_u14110, tc_HOL_Obool)))) = _u14112) )).
% 39.91/40.15 cnf(matrix-6180, plain, ( ~c_Finite__Set_Ofolding__one(_u14113, _u14114, _u14115) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14113), _u14116)) | ( hAPP(_u14115, _u14116) = hAPP(c_Finite__Set_Ofold1(_u14113, _u14114), _u14116)) )).
% 39.91/40.15 cnf(matrix-6181, plain, ( ( hAPP(c_Finite__Set_Ofold1(_u14117, _u14118), _u14119) = c_HOL_OThe(_u14117, c_Finite__Set_Ofold1Set(_u14117, _u14118, _u14119))) )).
% 39.91/40.15 cnf(matrix-6182, plain, ( ~class_Lattices_Olattice(_u14120) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14120), _u14121)) | ( c_Big__Operators_Olattice__class_OSup__fin(_u14120, _u14121) = hAPP(c_Finite__Set_Ofold1(_u14120, c_Lattices_Osemilattice__sup__class_Osup(_u14120)), _u14121)) )).
% 39.91/40.15 cnf(matrix-6183, plain, ( ~class_Lattices_Olattice(_u14122) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14122), _u14123)) | ( c_Big__Operators_Olattice__class_OInf__fin(_u14122, _u14123) = hAPP(c_Finite__Set_Ofold1(_u14122, c_Lattices_Osemilattice__inf__class_Oinf(_u14122)), _u14123)) )).
% 39.91/40.15 cnf(matrix-6184, plain, ( ~class_Orderings_Olinorder(_u14124) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14124), _u14125)) | ( c_Big__Operators_Olinorder__class_OMin(_u14124, _u14125) = hAPP(c_Finite__Set_Ofold1(_u14124, c_Orderings_Oord__class_Omin(_u14124)), _u14125)) )).
% 39.91/40.15 cnf(matrix-6185, plain, ( ~class_Orderings_Olinorder(_u14126) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14126), _u14127)) | ( c_Big__Operators_Olinorder__class_OMax(_u14126, _u14127) = hAPP(c_Finite__Set_Ofold1(_u14126, c_Orderings_Oord__class_Omax(_u14126)), _u14127)) )).
% 39.91/40.15 cnf(matrix-6186, plain, ( ~class_Orderings_Olinorder(_u14128) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14128), _u14129)) | ( c_Big__Operators_Olattice_OInf__fin(_u14128, c_Orderings_Oord__class_Omin(_u14128), _u14129) = hAPP(c_Finite__Set_Ofold1(_u14128, c_Orderings_Oord__class_Omin(_u14128)), _u14129)) )).
% 39.91/40.15 cnf(matrix-6187, plain, ( ~class_Orderings_Olinorder(_u14130) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14130), _u14131)) | ( c_Big__Operators_Olattice_OSup__fin(_u14130, c_Orderings_Oord__class_Omax(_u14130), _u14131) = hAPP(c_Finite__Set_Ofold1(_u14130, c_Orderings_Oord__class_Omax(_u14130)), _u14131)) )).
% 39.91/40.15 cnf(matrix-6188, plain, ( ~class_Lattices_Osemilattice__inf(_u14132) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14132), _u14133)) | ~hBOOL(hAPP(hAPP(c_member(_u14132), _u14134), _u14133)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14132), hAPP(c_Finite__Set_Ofold1(_u14132, c_Lattices_Osemilattice__inf__class_Oinf(_u14132)), _u14133)), _u14134)) )).
% 39.91/40.15 cnf(matrix-6189, plain, ( ~class_Lattices_Osemilattice__inf(_u14137) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14137), _u14138)) | ( _u14138 = c_Orderings_Obot__class_Obot(tc_fun(_u14137, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14137), _u14139), hAPP(c_Finite__Set_Ofold1(_u14137, c_Lattices_Osemilattice__inf__class_Oinf(_u14137)), _u14138))) | ~hBOOL(hAPP(hAPP(c_member(_u14137), _u14135), _u14138)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14137), _u14139), _u14135)) )).
% 39.91/40.15 cnf(matrix-6190, plain, ( ~class_Lattices_Osemilattice__inf(_u14137) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14137), _u14138)) | ( _u14138 = c_Orderings_Obot__class_Obot(tc_fun(_u14137, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14137), _u14139), hAPP(c_Finite__Set_Ofold1(_u14137, c_Lattices_Osemilattice__inf__class_Oinf(_u14137)), _u14138))) | hBOOL(hAPP(hAPP(c_member(_u14137), skolem319(_u14139, _u14138, _u14137)), _u14138)) )).
% 39.91/40.15 cnf(matrix-6191, plain, ( ~class_Lattices_Osemilattice__inf(_u14137) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14137), _u14138)) | ( _u14138 = c_Orderings_Obot__class_Obot(tc_fun(_u14137, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14137), _u14139), hAPP(c_Finite__Set_Ofold1(_u14137, c_Lattices_Osemilattice__inf__class_Oinf(_u14137)), _u14138))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14137), _u14139), skolem319(_u14139, _u14138, _u14137))) )).
% 39.91/40.15 cnf(matrix-6192, plain, ( ~class_Orderings_Olinorder(_u14140) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14140), _u14141)) | ~hBOOL(hAPP(hAPP(c_member(_u14140), _u14142), _u14141)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14140), hAPP(c_Finite__Set_Ofold1(_u14140, c_Orderings_Oord__class_Omin(_u14140)), _u14141)), _u14142)) )).
% 39.91/40.15 cnf(matrix-6193, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u14143) | ( _u14144 = c_Orderings_Obot__class_Obot(tc_fun(_u14143, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14143), _u14144)) | ( hAPP(c_Finite__Set_Ofold1(_u14143, c_Groups_Otimes__class_Otimes(_u14143)), hAPP(hAPP(c_Set_Oinsert(_u14143), _u14145), _u14144)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u14143), _u14145), hAPP(c_Finite__Set_Ofold1(_u14143, c_Groups_Otimes__class_Otimes(_u14143)), _u14144))) )).
% 39.91/40.15 cnf(matrix-6194, plain, ( ~class_Orderings_Olinorder(_u14148) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14148), _u14149)) | ( _u14149 = c_Orderings_Obot__class_Obot(tc_fun(_u14148, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14148), _u14150), hAPP(c_Finite__Set_Ofold1(_u14148, c_Orderings_Oord__class_Omin(_u14148)), _u14149))) | ~hBOOL(hAPP(hAPP(c_member(_u14148), _u14146), _u14149)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14148), _u14150), _u14146)) )).
% 39.91/40.15 cnf(matrix-6195, plain, ( ~class_Orderings_Olinorder(_u14148) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14148), _u14149)) | ( _u14149 = c_Orderings_Obot__class_Obot(tc_fun(_u14148, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14148), _u14150), hAPP(c_Finite__Set_Ofold1(_u14148, c_Orderings_Oord__class_Omin(_u14148)), _u14149))) | hBOOL(hAPP(hAPP(c_member(_u14148), skolem320(_u14150, _u14149, _u14148)), _u14149)) )).
% 39.91/40.15 cnf(matrix-6196, plain, ( ~class_Orderings_Olinorder(_u14148) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14148), _u14149)) | ( _u14149 = c_Orderings_Obot__class_Obot(tc_fun(_u14148, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14148), _u14150), hAPP(c_Finite__Set_Ofold1(_u14148, c_Orderings_Oord__class_Omin(_u14148)), _u14149))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14148), _u14150), skolem320(_u14150, _u14149, _u14148))) )).
% 39.91/40.15 cnf(matrix-6197, plain, ( ~class_Orderings_Olinorder(_u14153) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14153), _u14154)) | ( _u14154 = c_Orderings_Obot__class_Obot(tc_fun(_u14153, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14153), hAPP(c_Finite__Set_Ofold1(_u14153, c_Orderings_Oord__class_Omin(_u14153)), _u14154)), _u14155)) | hBOOL(hAPP(hAPP(c_member(_u14153), skolem321(_u14155, _u14154, _u14153)), _u14154)) )).
% 39.91/40.15 cnf(matrix-6198, plain, ( ~class_Orderings_Olinorder(_u14153) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14153), _u14154)) | ( _u14154 = c_Orderings_Obot__class_Obot(tc_fun(_u14153, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14153), hAPP(c_Finite__Set_Ofold1(_u14153, c_Orderings_Oord__class_Omin(_u14153)), _u14154)), _u14155)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14153), skolem321(_u14155, _u14154, _u14153)), _u14155)) )).
% 39.91/40.15 cnf(matrix-6199, plain, ( ~class_Orderings_Olinorder(_u14153) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14153), _u14154)) | ( _u14154 = c_Orderings_Obot__class_Obot(tc_fun(_u14153, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u14153), _u14152), _u14154)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14153), _u14152), _u14155)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14153), hAPP(c_Finite__Set_Ofold1(_u14153, c_Orderings_Oord__class_Omin(_u14153)), _u14154)), _u14155)) )).
% 39.91/40.15 cnf(matrix-6200, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u14156) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14156), _u14157)) | ( _u14157 = c_Orderings_Obot__class_Obot(tc_fun(_u14156, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14156), _u14158)) | ( _u14158 = c_Orderings_Obot__class_Obot(tc_fun(_u14156, tc_HOL_Obool))) | ( hAPP(c_Finite__Set_Ofold1(_u14156, c_Groups_Otimes__class_Otimes(_u14156)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14156, tc_HOL_Obool)), _u14157), _u14158)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u14156), hAPP(c_Finite__Set_Ofold1(_u14156, c_Groups_Otimes__class_Otimes(_u14156)), _u14157)), hAPP(c_Finite__Set_Ofold1(_u14156, c_Groups_Otimes__class_Otimes(_u14156)), _u14158))) )).
% 39.91/40.15 cnf(matrix-6201, plain, ( ~class_Orderings_Olinorder(_u14161) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14161), _u14162)) | ( _u14162 = c_Orderings_Obot__class_Obot(tc_fun(_u14161, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14161), hAPP(c_Finite__Set_Ofold1(_u14161, c_Orderings_Oord__class_Omin(_u14161)), _u14162)), _u14163)) | hBOOL(hAPP(hAPP(c_member(_u14161), skolem322(_u14163, _u14162, _u14161)), _u14162)) )).
% 39.91/40.15 cnf(matrix-6202, plain, ( ~class_Orderings_Olinorder(_u14161) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14161), _u14162)) | ( _u14162 = c_Orderings_Obot__class_Obot(tc_fun(_u14161, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14161), hAPP(c_Finite__Set_Ofold1(_u14161, c_Orderings_Oord__class_Omin(_u14161)), _u14162)), _u14163)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14161), skolem322(_u14163, _u14162, _u14161)), _u14163)) )).
% 39.91/40.15 cnf(matrix-6203, plain, ( ~class_Orderings_Olinorder(_u14161) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14161), _u14162)) | ( _u14162 = c_Orderings_Obot__class_Obot(tc_fun(_u14161, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u14161), _u14160), _u14162)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14161), _u14160), _u14163)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14161), hAPP(c_Finite__Set_Ofold1(_u14161, c_Orderings_Oord__class_Omin(_u14161)), _u14162)), _u14163)) )).
% 39.91/40.15 cnf(matrix-6204, plain, ( ~class_Orderings_Olinorder(_u14166) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14166), _u14167)) | ( _u14167 = c_Orderings_Obot__class_Obot(tc_fun(_u14166, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14166), _u14168), hAPP(c_Finite__Set_Ofold1(_u14166, c_Orderings_Oord__class_Omin(_u14166)), _u14167))) | ~hBOOL(hAPP(hAPP(c_member(_u14166), _u14164), _u14167)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14166), _u14168), _u14164)) )).
% 39.91/40.15 cnf(matrix-6205, plain, ( ~class_Orderings_Olinorder(_u14166) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14166), _u14167)) | ( _u14167 = c_Orderings_Obot__class_Obot(tc_fun(_u14166, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14166), _u14168), hAPP(c_Finite__Set_Ofold1(_u14166, c_Orderings_Oord__class_Omin(_u14166)), _u14167))) | hBOOL(hAPP(hAPP(c_member(_u14166), skolem323(_u14168, _u14167, _u14166)), _u14167)) )).
% 39.91/40.15 cnf(matrix-6206, plain, ( ~class_Orderings_Olinorder(_u14166) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14166), _u14167)) | ( _u14167 = c_Orderings_Obot__class_Obot(tc_fun(_u14166, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14166), _u14168), hAPP(c_Finite__Set_Ofold1(_u14166, c_Orderings_Oord__class_Omin(_u14166)), _u14167))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14166), _u14168), skolem323(_u14168, _u14167, _u14166))) )).
% 39.91/40.15 cnf(matrix-6207, plain, ( ~class_Groups_Oab__semigroup__mult(_u14169) | ( _u14170 = c_Orderings_Obot__class_Obot(tc_fun(_u14169, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14169), _u14170)) | hBOOL(hAPP(hAPP(c_member(_u14169), _u14171), _u14170)) | ( hAPP(c_Finite__Set_Ofold1(_u14169, c_Groups_Otimes__class_Otimes(_u14169)), hAPP(hAPP(c_Set_Oinsert(_u14169), _u14171), _u14170)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u14169), _u14171), hAPP(c_Finite__Set_Ofold1(_u14169, c_Groups_Otimes__class_Otimes(_u14169)), _u14170))) )).
% 39.91/40.15 cnf(matrix-6208, plain, ( ~class_Orderings_Olinorder(_u14172) | ( _u14173 = c_Orderings_Obot__class_Obot(tc_fun(_u14172, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14172, tc_HOL_Obool)), _u14173), _u14174)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14172), _u14174)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14172), hAPP(c_Finite__Set_Ofold1(_u14172, c_Orderings_Oord__class_Omin(_u14172)), _u14174)), hAPP(c_Finite__Set_Ofold1(_u14172, c_Orderings_Oord__class_Omin(_u14172)), _u14173))) )).
% 39.91/40.15 cnf(matrix-6209, plain, ( ~c_Big__Operators_Osemilattice__big(_u14175, _u14176, _u14177) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14175), _u14178)) | ( hAPP(_u14177, _u14178) = hAPP(c_Finite__Set_Ofold1(_u14175, _u14176), _u14178)) )).
% 39.91/40.15 cnf(matrix-6210, plain, ( ~class_Groups_Oab__semigroup__mult(_u14181) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14181), _u14182)) | ( _u14182 = c_Orderings_Obot__class_Obot(tc_fun(_u14181, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u14181), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u14181), skolem324(_u14182, _u14181)), skolem325(_u14182, _u14181))), hAPP(hAPP(c_Set_Oinsert(_u14181), skolem324(_u14182, _u14181)), hAPP(hAPP(c_Set_Oinsert(_u14181), skolem325(_u14182, _u14181)), c_Orderings_Obot__class_Obot(tc_fun(_u14181, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u14181), hAPP(c_Finite__Set_Ofold1(_u14181, c_Groups_Otimes__class_Otimes(_u14181)), _u14182)), _u14182)) )).
% 39.91/40.15 cnf(matrix-6211, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u14185) | ( hAPP(_u14186, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u14185), skolem326(_u14187, _u14186, _u14185)), skolem327(_u14187, _u14186, _u14185))) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u14185), hAPP(_u14186, skolem326(_u14187, _u14186, _u14185))), hAPP(_u14186, skolem327(_u14187, _u14186, _u14185)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14185), _u14187)) | ( _u14187 = c_Orderings_Obot__class_Obot(tc_fun(_u14185, tc_HOL_Obool))) | ( hAPP(_u14186, hAPP(c_Finite__Set_Ofold1(_u14185, c_Groups_Otimes__class_Otimes(_u14185)), _u14187)) = hAPP(c_Finite__Set_Ofold1(_u14185, c_Groups_Otimes__class_Otimes(_u14185)), hAPP(c_Set_Oimage(_u14185, _u14185, _u14186), _u14187))) )).
% 39.91/40.15 cnf(matrix-6212, plain, ( ~c_Wellfounded_OwfP(_u14190, _u14192) | c_Wellfounded_Owf(_u14190, hAPP(c_Set_OCollect(tc_prod(_u14190, _u14190)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14190, _u14190, tc_HOL_Obool), _u14192))) )).
% 39.91/40.15 cnf(matrix-6213, plain, ( ~c_Wellfounded_Owf(_u14191, hAPP(c_Set_OCollect(tc_prod(_u14191, _u14191)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14191, _u14191, tc_HOL_Obool), _u14193))) | c_Wellfounded_OwfP(_u14191, _u14193) )).
% 39.91/40.15 cnf(matrix-6214, plain, ( ( hAPP(c_Option_Omap(_u14194, _u14195), _u14196) = c_Option_Ooption_Ooption__case(tc_Option_Ooption(_u14195), _u14194, c_Option_Ooption_ONone(_u14195), hAPP(hAPP(c_COMBB(_u14195, tc_Option_Ooption(_u14195), _u14194), c_Option_Ooption_OSome(_u14195)), _u14196))) )).
% 39.91/40.15 cnf(matrix-6215, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14198), _u14199)) | 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(_u14198, tc_Nat_Onat), _u14200), _u14199))) | hBOOL(hAPP(hAPP(c_member(_u14198), skolem328(_u14200, _u14199, _u14198)), _u14199)) )).
% 39.91/40.15 cnf(matrix-6216, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14198), _u14199)) | 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(_u14198, tc_Nat_Onat), _u14200), _u14199))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u14200, skolem328(_u14200, _u14199, _u14198)))) )).
% 39.91/40.15 cnf(matrix-6217, plain, ( c_Wellfounded_OwfP(_u14201, hAPP(c_COMBK(tc_fun(_u14201, tc_HOL_Obool), _u14201), hAPP(c_COMBK(tc_HOL_Obool, _u14201), c_fFalse))) )).
% 39.91/40.15 cnf(matrix-6218, plain, ( ( hAPP(c_Fun_Ocomp(tc_Option_Ooption(_u14202), tc_Option_Ooption(_u14203), tc_Option_Ooption(_u14204), hAPP(c_Option_Omap(_u14202, _u14203), _u14205)), hAPP(c_Option_Omap(_u14204, _u14202), _u14206)) = hAPP(c_Option_Omap(_u14204, _u14203), hAPP(c_Fun_Ocomp(_u14202, _u14203, _u14204, _u14205), _u14206))) )).
% 39.91/40.15 cnf(matrix-6219, plain, ( ( hAPP(hAPP(c_Option_Omap(_u14207, _u14208), _u14209), hAPP(hAPP(c_Option_Omap(_u14210, _u14207), _u14211), _u14212)) = hAPP(hAPP(c_Option_Omap(_u14210, _u14208), hAPP(c_Fun_Ocomp(_u14207, _u14208, _u14210, _u14209), _u14211)), _u14212)) )).
% 39.91/40.15 cnf(matrix-6220, plain, ( ( hAPP(hAPP(c_Option_Omap(_u14213, _u14214), _u14215), hAPP(hAPP(c_Option_Omap(_u14216, _u14213), _u14217), _u14218)) = hAPP(hAPP(c_Option_Omap(_u14216, _u14214), hAPP(c_Fun_Ocomp(_u14213, _u14214, _u14216, _u14215), _u14217)), _u14218)) )).
% 39.91/40.15 cnf(matrix-6221, plain, ( ( hAPP(hAPP(c_Fun_Ocomp(tc_Option_Ooption(_u14219), tc_Option_Ooption(_u14220), _u14221, hAPP(c_Option_Omap(_u14219, _u14220), _u14222)), hAPP(c_COMBK(tc_Option_Ooption(_u14219), _u14221), c_Option_Ooption_ONone(_u14219))), _u14223) = c_Option_Ooption_ONone(_u14220)) )).
% 39.91/40.15 cnf(matrix-6222, plain, ( ( hAPP(c_Option_Omap(_u14224, _u14224), c_Fun_Oid(_u14224)) = c_Fun_Oid(tc_Option_Ooption(_u14224))) )).
% 39.91/40.15 cnf(matrix-6223, plain, ( ( hAPP(c_Option_Omap(_u14225, _u14225), c_COMBI(_u14225)) = c_Fun_Oid(tc_Option_Ooption(_u14225))) )).
% 39.91/40.15 cnf(matrix-6224, plain, ( ( c_Map_Odom(_u14226, _u14227, hAPP(hAPP(c_COMBS(_u14226, tc_Option_Ooption(_u14228), tc_Option_Ooption(_u14227)), hAPP(hAPP(c_COMBB(tc_fun(_u14228, _u14227), tc_fun(tc_Option_Ooption(_u14228), tc_Option_Ooption(_u14227)), _u14226), c_Option_Omap(_u14228, _u14227)), _u14229)), _u14230)) = c_Map_Odom(_u14226, _u14228, _u14230)) )).
% 39.91/40.15 cnf(matrix-6225, plain, ( ~c_Wellfounded_OwfP(_u14231, _u14232) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u14231, _u14232), _u14233)) )).
% 39.91/40.15 cnf(matrix-6226, plain, ( ~c_Wellfounded_OwfP(_u14238, _u14240) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u14238, _u14240), _u14234)) )).
% 39.91/40.15 cnf(matrix-6227, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u14239, _u14241), skolem329(_u14241, _u14239))) | c_Wellfounded_OwfP(_u14239, _u14241) )).
% 39.91/40.15 cnf(matrix-6228, plain, ( ( hAPP(hAPP(c_Option_Omap(_u14246, _u14248), _u14250), _u14252) != c_Option_Ooption_ONone(_u14248)) | ( _u14252 = c_Option_Ooption_ONone(_u14246)) )).
% 39.91/40.15 cnf(matrix-6229, plain, ( ( _u14253 != c_Option_Ooption_ONone(_u14247)) | ( hAPP(hAPP(c_Option_Omap(_u14247, _u14249), _u14251), _u14253) = c_Option_Ooption_ONone(_u14249)) )).
% 39.91/40.15 cnf(matrix-6230, plain, ( ( hAPP(hAPP(c_Option_Omap(_u14254, _u14255), _u14256), c_Option_Ooption_ONone(_u14254)) = c_Option_Ooption_ONone(_u14255)) )).
% 39.91/40.15 cnf(matrix-6231, plain, ( ( hAPP(hAPP(c_Option_Omap(_u14264, _u14266), _u14268), _u14270) != hAPP(c_Option_Ooption_OSome(_u14266), _u14272)) | ( _u14270 = hAPP(c_Option_Ooption_OSome(_u14264), skolem330(_u14272, _u14270, _u14268, _u14266, _u14264))) )).
% 39.91/40.15 cnf(matrix-6232, plain, ( ( hAPP(hAPP(c_Option_Omap(_u14264, _u14266), _u14268), _u14270) != hAPP(c_Option_Ooption_OSome(_u14266), _u14272)) | ( hAPP(_u14268, skolem330(_u14272, _u14270, _u14268, _u14266, _u14264)) = _u14272) )).
% 39.91/40.15 cnf(matrix-6233, plain, ( ( _u14271 != hAPP(c_Option_Ooption_OSome(_u14265), _u14258)) | ( hAPP(_u14269, _u14258) != _u14273) | ( hAPP(hAPP(c_Option_Omap(_u14265, _u14267), _u14269), _u14271) = hAPP(c_Option_Ooption_OSome(_u14267), _u14273)) )).
% 39.91/40.15 cnf(matrix-6234, plain, ( ( hAPP(hAPP(c_Option_Omap(_u14274, _u14275), _u14276), hAPP(c_Option_Ooption_OSome(_u14274), _u14277)) = hAPP(c_Option_Ooption_OSome(_u14275), hAPP(_u14276, _u14277))) )).
% 39.91/40.15 cnf(matrix-6235, plain, ( ~c_Wellfounded_OwfP(_u14278, _u14279) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14278, tc_fun(_u14278, tc_HOL_Obool))), _u14280), _u14279)) | c_Wellfounded_OwfP(_u14278, _u14280) )).
% 39.91/40.15 cnf(matrix-6236, plain, ( ( hAPP(c_Fun_Ocomp(tc_Option_Ooption(_u14281), tc_Option_Ooption(_u14282), _u14283, hAPP(c_Option_Omap(_u14281, _u14282), _u14284)), hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u14283, tc_Option_Ooption(_u14281)), _u14285), _u14286), hAPP(c_Option_Ooption_OSome(_u14281), _u14287))) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u14283, tc_Option_Ooption(_u14282)), hAPP(c_Fun_Ocomp(tc_Option_Ooption(_u14281), tc_Option_Ooption(_u14282), _u14283, hAPP(c_Option_Omap(_u14281, _u14282), _u14284)), _u14285)), _u14286), hAPP(c_Option_Ooption_OSome(_u14282), hAPP(_u14284, _u14287)))) )).
% 39.91/40.15 cnf(matrix-6237, plain, ( ~c_Wellfounded_Owf(_u14288, _u14289) | c_Wellfounded_OwfP(_u14288, c_FunDef_Oin__rel(_u14288, _u14288, _u14289)) )).
% 39.91/40.15 cnf(matrix-6238, plain, ( ~c_Wellfounded_OwfP(_u14292, hAPP(hAPP(c_COMBC(_u14292, tc_fun(tc_prod(_u14292, _u14292), tc_HOL_Obool), tc_fun(_u14292, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14292, tc_fun(tc_fun(tc_prod(_u14292, _u14292), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14292, _u14292), tc_HOL_Obool), tc_fun(_u14292, tc_HOL_Obool)), _u14292), c_COMBC(_u14292, tc_fun(tc_prod(_u14292, _u14292), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14292, tc_prod(_u14292, _u14292)), tc_fun(_u14292, tc_fun(tc_fun(tc_prod(_u14292, _u14292), tc_HOL_Obool), tc_HOL_Obool)), _u14292), hAPP(c_COMBB(tc_prod(_u14292, _u14292), tc_fun(tc_fun(tc_prod(_u14292, _u14292), tc_HOL_Obool), tc_HOL_Obool), _u14292), c_member(tc_prod(_u14292, _u14292)))), c_Product__Type_OPair(_u14292, _u14292)))), _u14294)) | c_Wellfounded_Owf(_u14292, _u14294) )).
% 39.91/40.15 cnf(matrix-6239, plain, ( ~c_Wellfounded_Owf(_u14293, _u14295) | c_Wellfounded_OwfP(_u14293, hAPP(hAPP(c_COMBC(_u14293, tc_fun(tc_prod(_u14293, _u14293), tc_HOL_Obool), tc_fun(_u14293, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14293, tc_fun(tc_fun(tc_prod(_u14293, _u14293), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14293, _u14293), tc_HOL_Obool), tc_fun(_u14293, tc_HOL_Obool)), _u14293), c_COMBC(_u14293, tc_fun(tc_prod(_u14293, _u14293), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14293, tc_prod(_u14293, _u14293)), tc_fun(_u14293, tc_fun(tc_fun(tc_prod(_u14293, _u14293), tc_HOL_Obool), tc_HOL_Obool)), _u14293), hAPP(c_COMBB(tc_prod(_u14293, _u14293), tc_fun(tc_fun(tc_prod(_u14293, _u14293), tc_HOL_Obool), tc_HOL_Obool), _u14293), c_member(tc_prod(_u14293, _u14293)))), c_Product__Type_OPair(_u14293, _u14293)))), _u14295)) )).
% 39.91/40.15 cnf(matrix-6240, plain, ( ~c_Wellfounded_OwfP(_u14296, _u14297) | c_Wellfounded_Oacyclic(_u14296, hAPP(c_Set_OCollect(tc_prod(_u14296, _u14296)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14296, _u14296, tc_HOL_Obool), _u14297))) )).
% 39.91/40.15 cnf(matrix-6241, plain, ( ~c_Finite__Set_Ofolding__one__idem(_u14300, _u14301, _u14302) | ( hAPP(_u14303, hAPP(hAPP(_u14301, skolem331(_u14304, _u14303, _u14302, _u14301, _u14300)), skolem332(_u14304, _u14303, _u14302, _u14301, _u14300))) != hAPP(hAPP(_u14301, hAPP(_u14303, skolem331(_u14304, _u14303, _u14302, _u14301, _u14300))), hAPP(_u14303, skolem332(_u14304, _u14303, _u14302, _u14301, _u14300)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14300), _u14304)) | ( _u14304 = c_Orderings_Obot__class_Obot(tc_fun(_u14300, tc_HOL_Obool))) | ( hAPP(_u14303, hAPP(_u14302, _u14304)) = hAPP(_u14302, hAPP(c_Set_Oimage(_u14300, _u14300, _u14303), _u14304))) )).
% 39.91/40.15 cnf(matrix-6242, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), _u14306), c_Int_OInteg)) | ( _u14306 = hAPP(c_Int_ORep__Integ, skolem333(_u14306))) )).
% 39.91/40.15 cnf(matrix-6243, plain, ( ~c_Wellfounded_Oacyclic(_u14307, _u14308) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14307, _u14307), tc_HOL_Obool)), _u14309), _u14308)) | c_Wellfounded_Oacyclic(_u14307, _u14309) )).
% 39.91/40.15 cnf(matrix-6244, plain, ( ~c_Wellfounded_Owf(_u14310, _u14311) | c_Wellfounded_Oacyclic(_u14310, _u14311) )).
% 39.91/40.15 cnf(matrix-6245, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14312, _u14312)), _u14313)) | ~c_Wellfounded_Owf(_u14312, _u14313) | c_Wellfounded_Oacyclic(_u14312, _u14313) )).
% 39.91/40.15 cnf(matrix-6246, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14312, _u14312)), _u14313)) | ~c_Wellfounded_Oacyclic(_u14312, _u14313) | c_Wellfounded_Owf(_u14312, _u14313) )).
% 39.91/40.15 cnf(matrix-6247, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14314, _u14314)), _u14315)) | ~c_Wellfounded_Oacyclic(_u14314, _u14315) | c_Wellfounded_Owf(_u14314, _u14315) )).
% 39.91/40.15 cnf(matrix-6248, plain, ( ~c_Nitpick_Owf_H(_u14318, _u14320) | c_Wellfounded_Oacyclic(_u14318, _u14320) )).
% 39.91/40.15 cnf(matrix-6249, plain, ( ~c_Nitpick_Owf_H(_u14318, _u14320) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14318, _u14318)), _u14320)) | c_Nitpick_Ounknown(tc_HOL_Obool) )).
% 39.91/40.15 cnf(matrix-6250, plain, ( c_Nitpick_Owf_H(_u14319, _u14321) | ~c_Wellfounded_Oacyclic(_u14319, _u14321) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14319, _u14319)), _u14321)) )).
% 39.91/40.15 cnf(matrix-6251, plain, ( c_Nitpick_Owf_H(_u14319, _u14321) | ~c_Wellfounded_Oacyclic(_u14319, _u14321) | ~c_Nitpick_Ounknown(tc_HOL_Obool) )).
% 39.91/40.15 cnf(matrix-6252, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), _u14323), c_Int_OInteg)) | ~hBOOL(hAPP(_u14324, hAPP(c_Int_ORep__Integ, skolem334(_u14324, _u14323)))) | hBOOL(hAPP(_u14324, _u14323)) )).
% 39.91/40.15 cnf(matrix-6253, plain, ( ~c_Finite__Set_Ofolding__image__simple(_u14326, _u14327, _u14328, _u14329, _u14330, _u14331) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14327), _u14332)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14327), _u14333)) | ( hAPP(_u14331, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14327, tc_HOL_Obool)), _u14332), _u14333)) = hAPP(hAPP(_u14328, hAPP(_u14331, _u14332)), hAPP(_u14331, _u14333))) | hBOOL(hAPP(hAPP(c_member(_u14327), skolem335(_u14333, _u14332, _u14331, _u14330, _u14329, _u14328, _u14327)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14327, tc_HOL_Obool)), _u14332), _u14333))) )).
% 39.91/40.15 cnf(matrix-6254, plain, ( ~c_Finite__Set_Ofolding__image__simple(_u14326, _u14327, _u14328, _u14329, _u14330, _u14331) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14327), _u14332)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14327), _u14333)) | ( hAPP(_u14331, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14327, tc_HOL_Obool)), _u14332), _u14333)) = hAPP(hAPP(_u14328, hAPP(_u14331, _u14332)), hAPP(_u14331, _u14333))) | ( hAPP(_u14330, skolem335(_u14333, _u14332, _u14331, _u14330, _u14329, _u14328, _u14327)) != _u14329) )).
% 39.91/40.15 cnf(matrix-6255, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u14335), _u14336)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14337), hAPP(c_Set_Oimage(_u14335, _u14337, _u14338), _u14336))) | hBOOL(hAPP(hAPP(c_member(_u14335), skolem336(_u14338, _u14337, _u14336, _u14335)), _u14336)) )).
% 39.91/40.15 cnf(matrix-6256, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u14335), _u14336)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14337), hAPP(c_Set_Oimage(_u14335, _u14337, _u14338), _u14336))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14335), hAPP(c_Set_OCollect(_u14335), hAPP(hAPP(c_COMBS(_u14335, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14335), c_fconj), hAPP(hAPP(c_COMBC(_u14335, tc_fun(_u14335, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14335)), _u14336))), hAPP(hAPP(c_COMBC(_u14335, _u14337, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u14337, tc_fun(_u14337, tc_HOL_Obool), _u14335), c_fequal), _u14338)), hAPP(_u14338, skolem336(_u14338, _u14337, _u14336, _u14335))))))) )).
% 39.91/40.15 cnf(matrix-6257, plain, ( ~c_Relation_Orefl__on(_u14346, _u14348, _u14350) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14346, _u14346)), _u14339), _u14350)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u14346, _u14346, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u14346, tc_fun(_u14346, tc_HOL_Obool), tc_fun(_u14346, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u14346, tc_HOL_Obool), tc_fun(_u14346, tc_HOL_Obool)), _u14346), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14346)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14346), c_fconj), hAPP(hAPP(c_COMBC(_u14346, tc_fun(_u14346, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14346)), _u14348)))), hAPP(hAPP(c_COMBC(_u14346, tc_fun(_u14346, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14346)), _u14348))), _u14339)) )).
% 39.91/40.15 cnf(matrix-6258, plain, ( ~c_Relation_Orefl__on(_u14346, _u14348, _u14350) | ~hBOOL(hAPP(hAPP(c_member(_u14346), _u14340), _u14348)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14346, _u14346)), hAPP(hAPP(c_Product__Type_OPair(_u14346, _u14346), _u14340), _u14340)), _u14350)) )).
% 39.91/40.15 cnf(matrix-6259, plain, ( c_Relation_Orefl__on(_u14347, _u14349, _u14351) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14347, _u14347)), skolem337(_u14351, _u14349, _u14347)), _u14351)) | hBOOL(hAPP(hAPP(c_member(_u14347), skolem338(_u14351, _u14349, _u14347)), _u14349)) )).
% 39.91/40.15 cnf(matrix-6260, plain, ( c_Relation_Orefl__on(_u14347, _u14349, _u14351) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14347, _u14347)), skolem337(_u14351, _u14349, _u14347)), _u14351)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14347, _u14347)), hAPP(hAPP(c_Product__Type_OPair(_u14347, _u14347), skolem338(_u14351, _u14349, _u14347)), skolem338(_u14351, _u14349, _u14347))), _u14351)) )).
% 39.91/40.15 cnf(matrix-6261, plain, ( c_Relation_Orefl__on(_u14347, _u14349, _u14351) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u14347, _u14347, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u14347, tc_fun(_u14347, tc_HOL_Obool), tc_fun(_u14347, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u14347, tc_HOL_Obool), tc_fun(_u14347, tc_HOL_Obool)), _u14347), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14347)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14347), c_fconj), hAPP(hAPP(c_COMBC(_u14347, tc_fun(_u14347, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14347)), _u14349)))), hAPP(hAPP(c_COMBC(_u14347, tc_fun(_u14347, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14347)), _u14349))), skolem337(_u14351, _u14349, _u14347))) | hBOOL(hAPP(hAPP(c_member(_u14347), skolem338(_u14351, _u14349, _u14347)), _u14349)) )).
% 39.91/40.15 cnf(matrix-6262, plain, ( c_Relation_Orefl__on(_u14347, _u14349, _u14351) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u14347, _u14347, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u14347, tc_fun(_u14347, tc_HOL_Obool), tc_fun(_u14347, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u14347, tc_HOL_Obool), tc_fun(_u14347, tc_HOL_Obool)), _u14347), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14347)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14347), c_fconj), hAPP(hAPP(c_COMBC(_u14347, tc_fun(_u14347, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14347)), _u14349)))), hAPP(hAPP(c_COMBC(_u14347, tc_fun(_u14347, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14347)), _u14349))), skolem337(_u14351, _u14349, _u14347))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14347, _u14347)), hAPP(hAPP(c_Product__Type_OPair(_u14347, _u14347), skolem338(_u14351, _u14349, _u14347)), skolem338(_u14351, _u14349, _u14347))), _u14351)) )).
% 39.91/40.15 cnf(matrix-6263, plain, ( ( _u14353 = hAPP(c_Int_OAbs__Integ, skolem339(_u14353))) )).
% 39.91/40.15 cnf(matrix-6264, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), skolem339(_u14353)), c_Int_OInteg)) )).
% 39.91/40.15 cnf(matrix-6265, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u14355), _u14354), c_Orderings_Obot__class_Obot(tc_fun(_u14355, tc_HOL_Obool)))) | hBOOL(hAPP(_u14356, _u14354)) )).
% 39.91/40.15 cnf(matrix-6266, plain, ( ~hBOOL(hAPP(c_Predicate_OPowp(_u14362, _u14364), _u14366)) | ~hBOOL(hAPP(hAPP(c_member(_u14362), _u14357), _u14366)) | hBOOL(hAPP(_u14364, _u14357)) )).
% 39.91/40.15 cnf(matrix-6267, plain, ( hBOOL(hAPP(c_Predicate_OPowp(_u14363, _u14365), _u14367)) | hBOOL(hAPP(hAPP(c_member(_u14363), skolem340(_u14367, _u14365, _u14363)), _u14367)) )).
% 39.91/40.15 cnf(matrix-6268, plain, ( hBOOL(hAPP(c_Predicate_OPowp(_u14363, _u14365), _u14367)) | ~hBOOL(hAPP(_u14365, skolem340(_u14367, _u14365, _u14363))) )).
% 39.91/40.15 cnf(matrix-6269, plain, ( ~c_Equiv__Relations_Ocongruent(_u14374, _u14376, _u14378, _u14380) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14374, _u14374)), _u14368), _u14378)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u14374, _u14374, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u14374, tc_fun(_u14374, _u14376), tc_fun(_u14374, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14376, tc_HOL_Obool), tc_fun(tc_fun(_u14374, _u14376), tc_fun(_u14374, tc_HOL_Obool)), _u14374), c_COMBB(_u14376, tc_HOL_Obool, _u14374)), hAPP(hAPP(c_COMBB(_u14376, tc_fun(_u14376, tc_HOL_Obool), _u14374), c_fequal), _u14380))), _u14380)), _u14368)) )).
% 39.91/40.15 cnf(matrix-6270, plain, ( c_Equiv__Relations_Ocongruent(_u14375, _u14377, _u14379, _u14381) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14375, _u14375)), skolem341(_u14381, _u14379, _u14377, _u14375)), _u14379)) )).
% 39.91/40.15 cnf(matrix-6271, plain, ( c_Equiv__Relations_Ocongruent(_u14375, _u14377, _u14379, _u14381) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u14375, _u14375, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u14375, tc_fun(_u14375, _u14377), tc_fun(_u14375, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14377, tc_HOL_Obool), tc_fun(tc_fun(_u14375, _u14377), tc_fun(_u14375, tc_HOL_Obool)), _u14375), c_COMBB(_u14377, tc_HOL_Obool, _u14375)), hAPP(hAPP(c_COMBB(_u14377, tc_fun(_u14377, tc_HOL_Obool), _u14375), c_fequal), _u14381))), _u14381)), skolem341(_u14381, _u14379, _u14377, _u14375))) )).
% 39.91/40.15 cnf(matrix-6272, plain, ( hBOOL(hAPP(_u14383, _u14384)) | hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), skolem342(_u14384, _u14383)), c_Int_OInteg)) )).
% 39.91/40.15 cnf(matrix-6273, plain, ( hBOOL(hAPP(_u14383, _u14384)) | ~hBOOL(hAPP(_u14383, hAPP(c_Int_OAbs__Integ, skolem342(_u14384, _u14383)))) )).
% 39.91/40.15 cnf(matrix-6274, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u14385)), hAPP(c_Set_Oimage(_u14386, tc_Option_Ooption(_u14385), _u14387), c_Orderings_Otop__class_Otop(tc_fun(_u14386, tc_HOL_Obool))))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u14385)), hAPP(c_Set_Oimage(_u14386, tc_Option_Ooption(_u14385), c_Map_Omap__add(_u14386, _u14385, _u14387, hAPP(c_Map_Omap__of(_u14386, _u14385), _u14388))), c_Orderings_Otop__class_Otop(tc_fun(_u14386, tc_HOL_Obool))))) )).
% 39.91/40.15 cnf(matrix-6275, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u14389), c_Map_Odom(_u14389, _u14390, hAPP(c_Map_Omap__of(_u14389, _u14390), _u14391)))) )).
% 39.91/40.15 cnf(matrix-6276, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u14394)), _u14393), _u14395)) | c_Hoare__Mirabelle_Otriple__valid(_u14394, _u14396, _u14393) | hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u14394)), skolem343(_u14396, _u14395, _u14394)), _u14395)) )).
% 39.91/40.15 cnf(matrix-6277, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u14394)), _u14393), _u14395)) | c_Hoare__Mirabelle_Otriple__valid(_u14394, _u14396, _u14393) | ~c_Hoare__Mirabelle_Otriple__valid(_u14394, hAPP(c_Nat_OSuc, _u14396), skolem343(_u14396, _u14395, _u14394)) )).
% 39.91/40.15 cnf(matrix-6278, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u14397)), hAPP(c_Set_Oimage(_u14398, tc_Option_Ooption(_u14397), hAPP(c_Map_Omap__of(_u14398, _u14397), _u14399)), c_Orderings_Otop__class_Otop(tc_fun(_u14398, tc_HOL_Obool))))) )).
% 39.91/40.15 cnf(matrix-6279, plain, ( ~c_Hoare__Mirabelle_Ohoare__valids(_u14409, _u14411, _u14413) | ~hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u14409)), _u14401), _u14413)) | c_Hoare__Mirabelle_Otriple__valid(_u14409, _u14402, _u14401) | hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u14409)), skolem344(_u14413, _u14411, _u14409, _u14402)), _u14411)) )).
% 39.91/40.15 cnf(matrix-6280, plain, ( ~c_Hoare__Mirabelle_Ohoare__valids(_u14409, _u14411, _u14413) | ~hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u14409)), _u14401), _u14413)) | c_Hoare__Mirabelle_Otriple__valid(_u14409, _u14402, _u14401) | ~c_Hoare__Mirabelle_Otriple__valid(_u14409, _u14402, skolem344(_u14413, _u14411, _u14409, _u14402)) )).
% 39.91/40.15 cnf(matrix-6281, plain, ( c_Hoare__Mirabelle_Ohoare__valids(_u14410, _u14412, _u14414) | ~hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u14410)), _u14403), _u14412)) | c_Hoare__Mirabelle_Otriple__valid(_u14410, skolem345(_u14414, _u14412, _u14410), _u14403) )).
% 39.91/40.15 cnf(matrix-6282, plain, ( c_Hoare__Mirabelle_Ohoare__valids(_u14410, _u14412, _u14414) | hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u14410)), skolem346(_u14414, _u14412, _u14410)), _u14414)) )).
% 39.91/40.15 cnf(matrix-6283, plain, ( c_Hoare__Mirabelle_Ohoare__valids(_u14410, _u14412, _u14414) | ~c_Hoare__Mirabelle_Otriple__valid(_u14410, skolem345(_u14414, _u14412, _u14410), skolem346(_u14414, _u14412, _u14410)) )).
% 39.91/40.15 cnf(matrix-6284, plain, ( ( c_Map_Omap__add(_u14415, _u14416, _u14417, hAPP(c_Map_Omap__of(_u14415, _u14416), _u14418)) = c_List_Ofoldr(tc_prod(_u14415, _u14416), tc_fun(_u14415, tc_Option_Ooption(_u14416)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14415, _u14416, tc_fun(tc_fun(_u14415, tc_Option_Ooption(_u14416)), tc_fun(_u14415, tc_Option_Ooption(_u14416)))), hAPP(hAPP(c_COMBC(_u14415, tc_fun(_u14416, tc_Option_Ooption(_u14416)), tc_fun(_u14416, tc_fun(tc_fun(_u14415, tc_Option_Ooption(_u14416)), tc_fun(_u14415, tc_Option_Ooption(_u14416))))), hAPP(hAPP(c_COMBB(tc_fun(tc_Option_Ooption(_u14416), tc_fun(tc_fun(_u14415, tc_Option_Ooption(_u14416)), tc_fun(_u14415, tc_Option_Ooption(_u14416)))), tc_fun(tc_fun(_u14416, tc_Option_Ooption(_u14416)), tc_fun(_u14416, tc_fun(tc_fun(_u14415, tc_Option_Ooption(_u14416)), tc_fun(_u14415, tc_Option_Ooption(_u14416))))), _u14415), c_COMBB(tc_Option_Ooption(_u14416), tc_fun(tc_fun(_u14415, tc_Option_Ooption(_u14416)), tc_fun(_u14415, tc_Option_Ooption(_u14416))), _u14416)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u14415, tc_Option_Ooption(_u14416)), tc_fun(tc_Option_Ooption(_u14416), tc_fun(_u14415, tc_Option_Ooption(_u14416)))), tc_fun(tc_Option_Ooption(_u14416), tc_fun(tc_fun(_u14415, tc_Option_Ooption(_u14416)), tc_fun(_u14415, tc_Option_Ooption(_u14416)))), _u14415), c_COMBC(tc_fun(_u14415, tc_Option_Ooption(_u14416)), tc_Option_Ooption(_u14416), tc_fun(_u14415, tc_Option_Ooption(_u14416)))), hAPP(c_COMBC(tc_fun(_u14415, tc_Option_Ooption(_u14416)), _u14415, tc_fun(tc_Option_Ooption(_u14416), tc_fun(_u14415, tc_Option_Ooption(_u14416)))), c_Fun_Ofun__upd(_u14415, tc_Option_Ooption(_u14416)))))), c_Option_Ooption_OSome(_u14416))), _u14418, _u14417)) )).
% 39.91/40.15 cnf(matrix-6285, plain, ( ~c_Fun_Oinj__on(_u14419, _u14420, _u14421, c_Orderings_Otop__class_Otop(tc_fun(_u14419, tc_HOL_Obool))) | ( hAPP(hAPP(c_Map_Omap__of(_u14419, _u14422), _u14423), _u14424) != hAPP(c_Option_Ooption_OSome(_u14422), _u14425)) | ( hAPP(hAPP(c_Map_Omap__of(_u14420, _u14422), hAPP(hAPP(c_List_Omap(tc_prod(_u14419, _u14422), tc_prod(_u14420, _u14422)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14419, _u14422, tc_prod(_u14420, _u14422)), hAPP(hAPP(c_COMBB(_u14420, tc_fun(_u14422, tc_prod(_u14420, _u14422)), _u14419), c_Product__Type_OPair(_u14420, _u14422)), _u14421))), _u14423)), hAPP(_u14421, _u14424)) = hAPP(c_Option_Ooption_OSome(_u14422), _u14425)) )).
% 39.91/40.15 cnf(matrix-6286, plain, ( ( hAPP(c_Map_Omap__of(_u14426, _u14427), hAPP(hAPP(c_List_Omap(tc_prod(_u14426, _u14428), tc_prod(_u14426, _u14427)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14426, _u14428, tc_prod(_u14426, _u14427)), hAPP(hAPP(c_COMBC(_u14426, tc_fun(_u14428, _u14427), tc_fun(_u14428, tc_prod(_u14426, _u14427))), hAPP(hAPP(c_COMBB(tc_fun(_u14427, tc_prod(_u14426, _u14427)), tc_fun(tc_fun(_u14428, _u14427), tc_fun(_u14428, tc_prod(_u14426, _u14427))), _u14426), c_COMBB(_u14427, tc_prod(_u14426, _u14427), _u14428)), c_Product__Type_OPair(_u14426, _u14427))), _u14429))), _u14430)) = hAPP(c_Fun_Ocomp(tc_Option_Ooption(_u14428), tc_Option_Ooption(_u14427), _u14426, hAPP(c_Option_Omap(_u14428, _u14427), _u14429)), hAPP(c_Map_Omap__of(_u14426, _u14428), _u14430))) )).
% 39.91/40.15 cnf(matrix-6287, plain, ( ~c_Fun_Oinj__on(_u14431, _u14432, _u14433, c_Orderings_Otop__class_Otop(tc_fun(_u14431, tc_HOL_Obool))) | c_Fun_Oinj__on(tc_List_Olist(_u14431), tc_List_Olist(_u14432), hAPP(c_List_Omap(_u14431, _u14432), _u14433), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u14431), tc_HOL_Obool))) )).
% 39.91/40.15 cnf(matrix-6288, plain, ( ( c_List_Ofoldr(_u14434, _u14435, _u14436, hAPP(hAPP(c_List_Omap(_u14437, _u14434), _u14438), _u14439), _u14440) = c_List_Ofoldr(_u14437, _u14435, hAPP(c_Fun_Ocomp(_u14434, tc_fun(_u14435, _u14435), _u14437, _u14436), _u14438), _u14439, _u14440)) )).
% 39.91/40.15 cnf(matrix-6289, plain, ( ( hAPP(hAPP(c_List_Omap(_u14441, _u14442), _u14443), _u14444) != hAPP(hAPP(c_List_Omap(_u14441, _u14442), _u14443), _u14445)) | ~c_Fun_Oinj__on(_u14441, _u14442, _u14443, c_Orderings_Otop__class_Otop(tc_fun(_u14441, tc_HOL_Obool))) | ( _u14444 = _u14445) )).
% 39.91/40.15 cnf(matrix-6290, plain, ( ~c_Fun_Oinj__on(tc_List_Olist(_u14446), tc_List_Olist(_u14447), hAPP(c_List_Omap(_u14446, _u14447), _u14448), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u14446), tc_HOL_Obool))) | c_Fun_Oinj__on(_u14446, _u14447, _u14448, c_Orderings_Otop__class_Otop(tc_fun(_u14446, tc_HOL_Obool))) )).
% 39.91/40.15 cnf(matrix-6291, plain, ( ~c_Fun_Oinj__on(_u14449, _u14450, _u14451, c_Orderings_Otop__class_Otop(tc_fun(_u14449, tc_HOL_Obool))) | ( hAPP(hAPP(c_List_Omap(_u14449, _u14450), _u14451), _u14452) != hAPP(hAPP(c_List_Omap(_u14449, _u14450), _u14451), _u14453)) | ( _u14452 = _u14453) )).
% 39.91/40.15 cnf(matrix-6292, plain, ( ~c_Fun_Oinj__on(_u14449, _u14450, _u14451, c_Orderings_Otop__class_Otop(tc_fun(_u14449, tc_HOL_Obool))) | ( _u14452 != _u14453) | ( hAPP(hAPP(c_List_Omap(_u14449, _u14450), _u14451), _u14452) = hAPP(hAPP(c_List_Omap(_u14449, _u14450), _u14451), _u14453)) )).
% 39.91/40.15 cnf(matrix-6293, plain, ( ~c_Fun_Oinj__on(tc_List_Olist(_u14457), tc_List_Olist(_u14459), hAPP(c_List_Omap(_u14457, _u14459), _u14461), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u14457), tc_HOL_Obool))) | c_Fun_Oinj__on(_u14457, _u14459, _u14461, c_Orderings_Otop__class_Otop(tc_fun(_u14457, tc_HOL_Obool))) )).
% 39.91/40.15 cnf(matrix-6294, plain, ( ~c_Fun_Oinj__on(_u14458, _u14460, _u14462, c_Orderings_Otop__class_Otop(tc_fun(_u14458, tc_HOL_Obool))) | c_Fun_Oinj__on(tc_List_Olist(_u14458), tc_List_Olist(_u14460), hAPP(c_List_Omap(_u14458, _u14460), _u14462), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u14458), tc_HOL_Obool))) )).
% 39.91/40.15 cnf(matrix-6295, plain, ( ( hAPP(hAPP(c_List_Omap(_u14463, _u14463), c_COMBI(_u14463)), _u14464) = _u14464) )).
% 39.91/40.15 cnf(matrix-6296, plain, ( ( hAPP(hAPP(c_List_Omap(_u14465, _u14466), _u14467), hAPP(hAPP(c_List_Omap(_u14468, _u14465), _u14469), _u14470)) = hAPP(hAPP(c_List_Omap(_u14468, _u14466), hAPP(c_Fun_Ocomp(_u14465, _u14466, _u14468, _u14467), _u14469)), _u14470)) )).
% 39.91/40.15 cnf(matrix-6297, plain, ( ( hAPP(hAPP(c_List_Omap(_u14471, _u14472), _u14473), hAPP(hAPP(c_List_Omap(_u14474, _u14471), _u14475), _u14476)) = hAPP(hAPP(c_List_Omap(_u14474, _u14472), hAPP(c_Fun_Ocomp(_u14471, _u14472, _u14474, _u14473), _u14475)), _u14476)) )).
% 39.91/40.15 cnf(matrix-6298, plain, ( ( hAPP(c_Fun_Ocomp(tc_List_Olist(_u14477), tc_List_Olist(_u14478), tc_List_Olist(_u14479), hAPP(c_List_Omap(_u14477, _u14478), _u14480)), hAPP(c_List_Omap(_u14479, _u14477), _u14481)) = hAPP(c_List_Omap(_u14479, _u14478), hAPP(c_Fun_Ocomp(_u14477, _u14478, _u14479, _u14480), _u14481))) )).
% 39.91/40.15 cnf(matrix-6299, plain, ( ( hAPP(c_Fun_Ocomp(tc_List_Olist(_u14482), tc_List_Olist(_u14483), tc_List_Olist(_u14484), hAPP(c_List_Omap(_u14482, _u14483), _u14485)), hAPP(c_List_Omap(_u14484, _u14482), _u14486)) = hAPP(c_List_Omap(_u14484, _u14483), hAPP(c_Fun_Ocomp(_u14482, _u14483, _u14484, _u14485), _u14486))) )).
% 39.91/40.15 cnf(matrix-6300, plain, ( ( hAPP(c_List_Omap(_u14487, _u14487), c_Fun_Oid(_u14487)) = c_Fun_Oid(tc_List_Olist(_u14487))) )).
% 39.91/40.15 cnf(matrix-6301, plain, ( ( hAPP(c_List_Omap(_u14488, _u14488), c_COMBI(_u14488)) = c_Fun_Oid(tc_List_Olist(_u14488))) )).
% 39.91/40.15 cnf(matrix-6302, plain, ( ( hAPP(c_Map_Omap__of(_u14489, _u14490), hAPP(hAPP(c_List_Omap(_u14489, tc_prod(_u14489, _u14490)), hAPP(hAPP(c_COMBS(_u14489, _u14490, tc_prod(_u14489, _u14490)), c_Product__Type_OPair(_u14489, _u14490)), _u14491)), _u14492)) = c_Map_Orestrict__map(_u14489, _u14490, hAPP(c_Fun_Ocomp(_u14490, tc_Option_Ooption(_u14490), _u14489, c_Option_Ooption_OSome(_u14490)), _u14491), hAPP(c_List_Oset(_u14489), _u14492))) )).
% 39.91/40.15 cnf(matrix-6303, plain, ( ( hAPP(c_Map_Omap__of(_u14493, _u14494), hAPP(hAPP(c_List_Olist_OCons(tc_prod(_u14493, _u14494)), _u14495), _u14496)) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u14493, tc_Option_Ooption(_u14494)), hAPP(c_Map_Omap__of(_u14493, _u14494), _u14496)), hAPP(c_Product__Type_Ofst(_u14493, _u14494), _u14495)), hAPP(c_Option_Ooption_OSome(_u14494), hAPP(c_Product__Type_Osnd(_u14493, _u14494), _u14495)))) )).
% 39.91/40.15 cnf(matrix-6304, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u14497), hAPP(c_List_Oset(_u14497), _u14498))) )).
% 39.91/40.15 cnf(matrix-6305, plain, ( ( hAPP(c_List_Oset(_u14499), hAPP(hAPP(c_List_Omap(_u14500, _u14499), _u14501), _u14502)) = hAPP(c_Set_Oimage(_u14500, _u14499, _u14501), hAPP(c_List_Oset(_u14500), _u14502))) )).
% 39.91/40.15 cnf(matrix-6306, plain, ( ( hAPP(hAPP(c_List_Omap(_u14503, _u14504), _u14505), hAPP(hAPP(c_List_Olist_OCons(_u14503), _u14506), _u14507)) = hAPP(hAPP(c_List_Olist_OCons(_u14504), hAPP(_u14505, _u14506)), hAPP(hAPP(c_List_Omap(_u14503, _u14504), _u14505), _u14507))) )).
% 39.91/40.15 cnf(matrix-6307, plain, ( ( hAPP(hAPP(c_List_Omap(_u14515, _u14517), _u14519), _u14521) != hAPP(hAPP(c_List_Omap(_u14515, _u14517), _u14523), _u14521)) | ~hBOOL(hAPP(hAPP(c_member(_u14515), _u14508), hAPP(c_List_Oset(_u14515), _u14521))) | ( hAPP(_u14519, _u14508) = hAPP(_u14523, _u14508)) )).
% 39.91/40.15 cnf(matrix-6308, plain, ( ( hAPP(hAPP(c_List_Omap(_u14516, _u14518), _u14520), _u14522) = hAPP(hAPP(c_List_Omap(_u14516, _u14518), _u14524), _u14522)) | hBOOL(hAPP(hAPP(c_member(_u14516), skolem347(_u14524, _u14522, _u14520, _u14518, _u14516)), hAPP(c_List_Oset(_u14516), _u14522))) )).
% 39.91/40.15 cnf(matrix-6309, plain, ( ( hAPP(hAPP(c_List_Omap(_u14516, _u14518), _u14520), _u14522) = hAPP(hAPP(c_List_Omap(_u14516, _u14518), _u14524), _u14522)) | ( hAPP(_u14520, skolem347(_u14524, _u14522, _u14520, _u14518, _u14516)) != hAPP(_u14524, skolem347(_u14524, _u14522, _u14520, _u14518, _u14516))) )).
% 39.91/40.15 cnf(matrix-6310, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u14525), _u14526), hAPP(c_List_Oset(_u14525), hAPP(hAPP(c_List_Olist_OCons(_u14525), _u14527), _u14528)))) | ( _u14526 = _u14527) | hBOOL(hAPP(hAPP(c_member(_u14525), _u14526), hAPP(c_List_Oset(_u14525), _u14528))) )).
% 39.91/40.15 cnf(matrix-6311, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(_u14529)), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u14529), tc_HOL_Obool)))) )).
% 39.91/40.15 cnf(matrix-6312, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u14535), _u14537), _u14539) != hAPP(hAPP(c_List_Olist_OCons(_u14535), _u14541), _u14543)) | ( _u14537 = _u14541) )).
% 39.91/40.15 cnf(matrix-6313, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u14535), _u14537), _u14539) != hAPP(hAPP(c_List_Olist_OCons(_u14535), _u14541), _u14543)) | ( _u14539 = _u14543) )).
% 39.91/40.15 cnf(matrix-6314, plain, ( ( _u14538 != _u14542) | ( _u14540 != _u14544) | ( hAPP(hAPP(c_List_Olist_OCons(_u14536), _u14538), _u14540) = hAPP(hAPP(c_List_Olist_OCons(_u14536), _u14542), _u14544)) )).
% 39.91/40.15 cnf(matrix-6315, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u14545), _u14546), _u14547) != _u14547) )).
% 39.91/40.15 cnf(matrix-6316, plain, ( ( _u14548 != hAPP(hAPP(c_List_Olist_OCons(_u14549), _u14550), _u14548)) )).
% 39.91/40.15 cnf(matrix-6317, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14551, tc_HOL_Obool)), hAPP(c_List_Oset(_u14551), _u14552)), hAPP(c_List_Oset(_u14551), hAPP(hAPP(c_List_Olist_OCons(_u14551), _u14553), _u14552)))) )).
% 39.91/40.15 cnf(matrix-6318, plain, ( ( hAPP(c_List_Oset(_u14554), hAPP(hAPP(c_List_Olist_OCons(_u14554), _u14555), _u14556)) = hAPP(hAPP(c_Set_Oinsert(_u14554), _u14555), hAPP(c_List_Oset(_u14554), _u14556))) )).
% 39.91/40.15 cnf(matrix-6319, plain, ( ( c_List_Ofoldr(_u14557, _u14558, _u14559, hAPP(hAPP(c_List_Olist_OCons(_u14557), _u14560), _u14561), _u14562) = hAPP(hAPP(_u14559, _u14560), c_List_Ofoldr(_u14557, _u14558, _u14559, _u14561, _u14562))) )).
% 39.91/40.15 cnf(matrix-6320, plain, ( ( hAPP(hAPP(c_List_Omap(_u14563, _u14564), _u14565), _u14566) != hAPP(hAPP(c_List_Omap(_u14563, _u14564), _u14565), _u14567)) | ~c_Fun_Oinj__on(_u14563, _u14564, _u14565, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14563, tc_HOL_Obool)), hAPP(c_List_Oset(_u14563), _u14566)), hAPP(c_List_Oset(_u14563), _u14567))) | ( _u14566 = _u14567) )).
% 39.91/40.15 cnf(matrix-6321, plain, ( ~c_Fun_Oinj__on(_u14568, _u14569, _u14570, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14568, tc_HOL_Obool)), hAPP(c_List_Oset(_u14568), _u14571)), hAPP(c_List_Oset(_u14568), _u14572))) | ( hAPP(hAPP(c_List_Omap(_u14568, _u14569), _u14570), _u14571) != hAPP(hAPP(c_List_Omap(_u14568, _u14569), _u14570), _u14572)) | ( _u14571 = _u14572) )).
% 39.91/40.15 cnf(matrix-6322, plain, ( ~c_Fun_Oinj__on(_u14568, _u14569, _u14570, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14568, tc_HOL_Obool)), hAPP(c_List_Oset(_u14568), _u14571)), hAPP(c_List_Oset(_u14568), _u14572))) | ( _u14571 != _u14572) | ( hAPP(hAPP(c_List_Omap(_u14568, _u14569), _u14570), _u14571) = hAPP(hAPP(c_List_Omap(_u14568, _u14569), _u14570), _u14572)) )).
% 39.91/40.15 cnf(matrix-6323, plain, ( hBOOL(hAPP(hAPP(c_member(_u14573), _u14574), hAPP(c_List_Oset(_u14573), _u14575))) | ( hAPP(hAPP(c_List_Omap(_u14573, _u14576), hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u14573, _u14576), _u14577), _u14574), _u14578)), _u14575) = hAPP(hAPP(c_List_Omap(_u14573, _u14576), _u14577), _u14575)) )).
% 39.91/40.15 cnf(matrix-6324, plain, ( ( _u14585 != _u14587) | ( hAPP(hAPP(c_Map_Omap__of(_u14589, _u14591), hAPP(hAPP(c_List_Olist_OCons(tc_prod(_u14589, _u14591)), hAPP(hAPP(c_Product__Type_OPair(_u14589, _u14591), _u14585), _u14593)), _u14595)), _u14587) = hAPP(c_Option_Ooption_OSome(_u14591), _u14593)) )).
% 39.91/40.15 cnf(matrix-6325, plain, ( ( _u14586 = _u14588) | ( hAPP(hAPP(c_Map_Omap__of(_u14590, _u14592), hAPP(hAPP(c_List_Olist_OCons(tc_prod(_u14590, _u14592)), hAPP(hAPP(c_Product__Type_OPair(_u14590, _u14592), _u14586), _u14594)), _u14596)), _u14588) = hAPP(hAPP(c_Map_Omap__of(_u14590, _u14592), _u14596), _u14588)) )).
% 39.91/40.15 cnf(matrix-6326, plain, ( ( hAPP(c_Map_Omap__of(_u14597, _u14598), _u14599) != hAPP(c_Map_Omap__of(_u14597, _u14598), _u14600)) | ( hAPP(c_Set_Oimage(tc_prod(_u14597, _u14598), _u14597, c_Product__Type_Ofst(_u14597, _u14598)), hAPP(c_List_Oset(tc_prod(_u14597, _u14598)), _u14599)) = hAPP(c_Set_Oimage(tc_prod(_u14597, _u14598), _u14597, c_Product__Type_Ofst(_u14597, _u14598)), hAPP(c_List_Oset(tc_prod(_u14597, _u14598)), _u14600))) )).
% 39.91/40.15 cnf(matrix-6327, plain, ( ( hAPP(hAPP(c_Map_Omap__of(_u14601, _u14602), _u14603), _u14604) != hAPP(c_Option_Ooption_OSome(_u14602), _u14605)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14601, _u14602)), hAPP(hAPP(c_Product__Type_OPair(_u14601, _u14602), _u14604), _u14605)), hAPP(c_List_Oset(tc_prod(_u14601, _u14602)), _u14603))) )).
% 39.91/40.15 cnf(matrix-6328, plain, ( ( hAPP(hAPP(c_Map_Omap__of(_u14606, _u14607), _u14608), _u14609) != hAPP(c_Option_Ooption_OSome(_u14607), _u14610)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14606, _u14607)), hAPP(hAPP(c_Product__Type_OPair(_u14606, _u14607), _u14609), _u14610)), hAPP(c_List_Oset(tc_prod(_u14606, _u14607)), _u14608))) )).
% 39.91/40.15 cnf(matrix-6329, plain, ( ( c_Map_Odom(_u14611, _u14612, hAPP(c_Map_Omap__of(_u14611, _u14612), _u14613)) = hAPP(c_Set_Oimage(tc_prod(_u14611, _u14612), _u14611, c_Product__Type_Ofst(_u14611, _u14612)), hAPP(c_List_Oset(tc_prod(_u14611, _u14612)), _u14613))) )).
% 39.91/40.15 cnf(matrix-6330, plain, ( ( hAPP(hAPP(c_Map_Omap__of(_u14618, _u14620), _u14622), _u14624) != c_Option_Ooption_ONone(_u14620)) | ~hBOOL(hAPP(hAPP(c_member(_u14618), _u14624), hAPP(c_Set_Oimage(tc_prod(_u14618, _u14620), _u14618, c_Product__Type_Ofst(_u14618, _u14620)), hAPP(c_List_Oset(tc_prod(_u14618, _u14620)), _u14622)))) )).
% 39.91/40.15 cnf(matrix-6331, plain, ( hBOOL(hAPP(hAPP(c_member(_u14619), _u14625), hAPP(c_Set_Oimage(tc_prod(_u14619, _u14621), _u14619, c_Product__Type_Ofst(_u14619, _u14621)), hAPP(c_List_Oset(tc_prod(_u14619, _u14621)), _u14623)))) | ( hAPP(hAPP(c_Map_Omap__of(_u14619, _u14621), _u14623), _u14625) = c_Option_Ooption_ONone(_u14621)) )).
% 39.91/40.15 cnf(matrix-6332, plain, ( ( hAPP(c_List_Oset(_u14626), _u14627) != c_Map_Odom(_u14626, _u14628, _u14629)) | ( hAPP(c_Map_Omap__of(_u14626, _u14628), hAPP(hAPP(c_List_Omap(_u14626, tc_prod(_u14626, _u14628)), hAPP(hAPP(c_COMBS(_u14626, _u14628, tc_prod(_u14626, _u14628)), c_Product__Type_OPair(_u14626, _u14628)), hAPP(hAPP(c_COMBB(tc_Option_Ooption(_u14628), _u14628, _u14626), c_Option_Othe(_u14628)), _u14629))), _u14627)) = _u14629) )).
% 39.91/40.15 cnf(matrix-6333, plain, ( ( c_List_Oset__Cons(_u14630, _u14631, _u14632) = hAPP(c_Set_OCollect(tc_List_Olist(_u14630)), hAPP(hAPP(c_COMBB(tc_fun(_u14630, tc_HOL_Obool), tc_HOL_Obool, tc_List_Olist(_u14630)), c_HOL_OEx(_u14630)), hAPP(hAPP(c_COMBB(tc_fun(_u14630, tc_fun(tc_List_Olist(_u14630), tc_HOL_Obool)), tc_fun(_u14630, tc_HOL_Obool), tc_List_Olist(_u14630)), hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14630), tc_HOL_Obool), tc_HOL_Obool, _u14630), c_HOL_OEx(tc_List_Olist(_u14630)))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14630), tc_fun(_u14630, tc_fun(tc_List_Olist(_u14630), tc_HOL_Obool)), tc_fun(_u14630, tc_fun(tc_List_Olist(_u14630), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14630, tc_fun(tc_fun(tc_List_Olist(_u14630), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14630), tc_HOL_Obool))), tc_fun(tc_fun(_u14630, tc_fun(tc_List_Olist(_u14630), tc_HOL_Obool)), tc_fun(_u14630, tc_fun(tc_List_Olist(_u14630), tc_HOL_Obool))), tc_List_Olist(_u14630)), c_COMBS(_u14630, tc_fun(tc_List_Olist(_u14630), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14630), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14630, tc_fun(tc_List_Olist(_u14630), tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u14630, tc_fun(tc_fun(tc_List_Olist(_u14630), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14630), tc_HOL_Obool))), tc_List_Olist(_u14630)), hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14630), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_List_Olist(_u14630), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14630), tc_HOL_Obool)), _u14630), c_COMBS(tc_List_Olist(_u14630), tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14630, tc_fun(tc_List_Olist(_u14630), tc_HOL_Obool)), tc_fun(_u14630, tc_fun(tc_List_Olist(_u14630), tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_List_Olist(_u14630)), hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14630), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14630), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u14630), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u14630)), c_fconj))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14630), tc_fun(_u14630, tc_fun(tc_List_Olist(_u14630), tc_List_Olist(_u14630))), tc_fun(_u14630, tc_fun(tc_List_Olist(_u14630), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_List_Olist(_u14630), tc_List_Olist(_u14630)), tc_fun(tc_List_Olist(_u14630), tc_HOL_Obool)), tc_fun(tc_fun(_u14630, tc_fun(tc_List_Olist(_u14630), tc_List_Olist(_u14630))), tc_fun(_u14630, tc_fun(tc_List_Olist(_u14630), tc_HOL_Obool))), tc_List_Olist(_u14630)), c_COMBB(tc_fun(tc_List_Olist(_u14630), tc_List_Olist(_u14630)), tc_fun(tc_List_Olist(_u14630), tc_HOL_Obool), _u14630)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14630), tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u14630), tc_List_Olist(_u14630)), tc_fun(tc_List_Olist(_u14630), tc_HOL_Obool)), tc_List_Olist(_u14630)), c_COMBB(tc_List_Olist(_u14630), tc_HOL_Obool, tc_List_Olist(_u14630))), c_fequal))), c_List_Olist_OCons(_u14630)))))), hAPP(hAPP(c_COMBC(_u14630, tc_fun(tc_List_Olist(_u14630), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14630), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u14630), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14630), tc_HOL_Obool)), _u14630), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u14630))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14630), c_fconj), hAPP(hAPP(c_COMBC(_u14630, tc_fun(_u14630, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14630)), _u14631)))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14630), tc_fun(tc_List_Olist(_u14630), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_List_Olist(_u14630))), _u14632))))))) )).
% 39.91/40.15 cnf(matrix-6334, plain, ( ( hAPP(c_Option_Othe(_u14633), hAPP(c_Option_Ooption_OSome(_u14633), _u14634)) = _u14634) )).
% 39.91/40.15 cnf(matrix-6335, plain, ( ( hAPP(c_List_Oset(tc_prod(_u14635, _u14636)), c_Enum_Oproduct(_u14635, _u14636, _u14637, _u14638)) = hAPP(hAPP(c_Product__Type_OSigma(_u14635, _u14636), hAPP(c_List_Oset(_u14635), _u14637)), hAPP(c_COMBK(tc_fun(_u14636, tc_HOL_Obool), _u14635), hAPP(c_List_Oset(_u14636), _u14638)))) )).
% 39.91/40.15 cnf(matrix-6336, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u14639), hAPP(hAPP(c_List_Omap(tc_prod(_u14639, _u14640), _u14639), c_Product__Type_Ofst(_u14639, _u14640)), _u14641))) | ( c_Map_Oran(_u14639, _u14640, hAPP(c_Map_Omap__of(_u14639, _u14640), _u14641)) = hAPP(c_Set_Oimage(tc_prod(_u14639, _u14640), _u14640, c_Product__Type_Osnd(_u14639, _u14640)), hAPP(c_List_Oset(tc_prod(_u14639, _u14640)), _u14641))) )).
% 39.91/40.15 cnf(matrix-6337, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u14642), _u14643)) | ~hBOOL(hAPP(c_List_Odistinct(_u14644), _u14645)) | hBOOL(hAPP(c_List_Odistinct(tc_prod(_u14642, _u14644)), c_Enum_Oproduct(_u14642, _u14644, _u14643, _u14645))) )).
% 39.91/40.15 cnf(matrix-6338, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u14649), hAPP(hAPP(c_List_Olist_OCons(_u14649), _u14651), _u14653))) | ~hBOOL(hAPP(hAPP(c_member(_u14649), _u14651), hAPP(c_List_Oset(_u14649), _u14653))) )).
% 39.91/40.15 cnf(matrix-6339, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u14649), hAPP(hAPP(c_List_Olist_OCons(_u14649), _u14651), _u14653))) | hBOOL(hAPP(c_List_Odistinct(_u14649), _u14653)) )).
% 39.91/40.15 cnf(matrix-6340, plain, ( hBOOL(hAPP(hAPP(c_member(_u14650), _u14652), hAPP(c_List_Oset(_u14650), _u14654))) | ~hBOOL(hAPP(c_List_Odistinct(_u14650), _u14654)) | hBOOL(hAPP(c_List_Odistinct(_u14650), hAPP(hAPP(c_List_Olist_OCons(_u14650), _u14652), _u14654))) )).
% 39.91/40.15 cnf(matrix-6341, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u14659), hAPP(hAPP(c_List_Omap(_u14661, _u14659), _u14663), _u14665))) | hBOOL(hAPP(c_List_Odistinct(_u14661), _u14665)) )).
% 39.91/40.15 cnf(matrix-6342, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u14659), hAPP(hAPP(c_List_Omap(_u14661, _u14659), _u14663), _u14665))) | c_Fun_Oinj__on(_u14661, _u14659, _u14663, hAPP(c_List_Oset(_u14661), _u14665)) )).
% 39.91/40.15 cnf(matrix-6343, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u14662), _u14666)) | ~c_Fun_Oinj__on(_u14662, _u14660, _u14664, hAPP(c_List_Oset(_u14662), _u14666)) | hBOOL(hAPP(c_List_Odistinct(_u14660), hAPP(hAPP(c_List_Omap(_u14662, _u14660), _u14664), _u14666))) )).
% 39.91/40.15 cnf(matrix-6344, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u14667), hAPP(hAPP(c_List_Omap(tc_prod(_u14667, _u14668), _u14667), c_Product__Type_Ofst(_u14667, _u14668)), _u14669))) | ~hBOOL(hAPP(c_List_Odistinct(_u14667), hAPP(hAPP(c_List_Omap(tc_prod(_u14667, _u14668), _u14667), c_Product__Type_Ofst(_u14667, _u14668)), _u14670))) | ( hAPP(c_Map_Omap__of(_u14667, _u14668), _u14669) != hAPP(c_Map_Omap__of(_u14667, _u14668), _u14670)) | ( hAPP(c_List_Oset(tc_prod(_u14667, _u14668)), _u14669) = hAPP(c_List_Oset(tc_prod(_u14667, _u14668)), _u14670)) )).
% 39.91/40.15 cnf(matrix-6345, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u14667), hAPP(hAPP(c_List_Omap(tc_prod(_u14667, _u14668), _u14667), c_Product__Type_Ofst(_u14667, _u14668)), _u14669))) | ~hBOOL(hAPP(c_List_Odistinct(_u14667), hAPP(hAPP(c_List_Omap(tc_prod(_u14667, _u14668), _u14667), c_Product__Type_Ofst(_u14667, _u14668)), _u14670))) | ( hAPP(c_List_Oset(tc_prod(_u14667, _u14668)), _u14669) != hAPP(c_List_Oset(tc_prod(_u14667, _u14668)), _u14670)) | ( hAPP(c_Map_Omap__of(_u14667, _u14668), _u14669) = hAPP(c_Map_Omap__of(_u14667, _u14668), _u14670)) )).
% 39.91/40.15 cnf(matrix-6346, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u14671), hAPP(hAPP(c_List_Omap(tc_prod(_u14671, _u14672), _u14671), c_Product__Type_Ofst(_u14671, _u14672)), _u14673))) | ( hAPP(c_Option_Ooption_OSome(_u14672), _u14674) != hAPP(hAPP(c_Map_Omap__of(_u14671, _u14672), _u14673), _u14675)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14671, _u14672)), hAPP(hAPP(c_Product__Type_OPair(_u14671, _u14672), _u14675), _u14674)), hAPP(c_List_Oset(tc_prod(_u14671, _u14672)), _u14673))) )).
% 39.91/40.15 cnf(matrix-6347, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u14671), hAPP(hAPP(c_List_Omap(tc_prod(_u14671, _u14672), _u14671), c_Product__Type_Ofst(_u14671, _u14672)), _u14673))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14671, _u14672)), hAPP(hAPP(c_Product__Type_OPair(_u14671, _u14672), _u14675), _u14674)), hAPP(c_List_Oset(tc_prod(_u14671, _u14672)), _u14673))) | ( hAPP(c_Option_Ooption_OSome(_u14672), _u14674) = hAPP(hAPP(c_Map_Omap__of(_u14671, _u14672), _u14673), _u14675)) )).
% 39.91/40.15 cnf(matrix-6348, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u14676), hAPP(hAPP(c_List_Omap(tc_prod(_u14676, _u14677), _u14676), c_Product__Type_Ofst(_u14676, _u14677)), _u14678))) | ( hAPP(hAPP(c_Map_Omap__of(_u14676, _u14677), _u14678), _u14679) != hAPP(c_Option_Ooption_OSome(_u14677), _u14680)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14676, _u14677)), hAPP(hAPP(c_Product__Type_OPair(_u14676, _u14677), _u14679), _u14680)), hAPP(c_List_Oset(tc_prod(_u14676, _u14677)), _u14678))) )).
% 39.91/40.15 cnf(matrix-6349, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u14676), hAPP(hAPP(c_List_Omap(tc_prod(_u14676, _u14677), _u14676), c_Product__Type_Ofst(_u14676, _u14677)), _u14678))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14676, _u14677)), hAPP(hAPP(c_Product__Type_OPair(_u14676, _u14677), _u14679), _u14680)), hAPP(c_List_Oset(tc_prod(_u14676, _u14677)), _u14678))) | ( hAPP(hAPP(c_Map_Omap__of(_u14676, _u14677), _u14678), _u14679) = hAPP(c_Option_Ooption_OSome(_u14677), _u14680)) )).
% 39.91/40.15 cnf(matrix-6350, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u14681), hAPP(hAPP(c_List_Omap(tc_prod(_u14681, _u14682), _u14681), c_Product__Type_Ofst(_u14681, _u14682)), _u14683))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14681, _u14682)), hAPP(hAPP(c_Product__Type_OPair(_u14681, _u14682), _u14684), _u14685)), hAPP(c_List_Oset(tc_prod(_u14681, _u14682)), _u14683))) | ( hAPP(hAPP(c_Map_Omap__of(_u14681, _u14682), _u14683), _u14684) = hAPP(c_Option_Ooption_OSome(_u14682), _u14685)) )).
% 39.91/40.15 cnf(matrix-6351, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u14686), hAPP(hAPP(c_List_Omap(tc_prod(_u14686, _u14687), _u14686), c_Product__Type_Ofst(_u14686, _u14687)), _u14688))) | ( hAPP(c_List_Oset(tc_prod(_u14686, _u14687)), _u14688) = hAPP(c_Set_OCollect(tc_prod(_u14686, _u14687)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14686, _u14687, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u14686, tc_fun(_u14687, tc_Option_Ooption(_u14687)), tc_fun(_u14687, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Option_Ooption(_u14687), tc_HOL_Obool), tc_fun(tc_fun(_u14687, tc_Option_Ooption(_u14687)), tc_fun(_u14687, tc_HOL_Obool)), _u14686), c_COMBB(tc_Option_Ooption(_u14687), tc_HOL_Obool, _u14687)), hAPP(hAPP(c_COMBB(tc_Option_Ooption(_u14687), tc_fun(tc_Option_Ooption(_u14687), tc_HOL_Obool), _u14686), c_fequal), hAPP(c_Map_Omap__of(_u14686, _u14687), _u14688)))), c_Option_Ooption_OSome(_u14687))))) )).
% 39.91/40.15 cnf(matrix-6352, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14689), _u14690)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(_u14689)), hAPP(c_Set_OCollect(tc_List_Olist(_u14689)), hAPP(hAPP(c_COMBS(tc_List_Olist(_u14689), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u14689)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14689), tc_fun(_u14689, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u14689, tc_HOL_Obool), tc_fun(tc_fun(_u14689, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u14689)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u14689, tc_HOL_Obool))), c_List_Oset(_u14689))), _u14690))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14689), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u14689)), c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u14689)))), _u14691))))) )).
% 39.91/40.15 cnf(matrix-6353, plain, ( ( c_List_Olist_Olist__size(_u14692, _u14693, hAPP(hAPP(c_List_Olist_OCons(_u14692), _u14694), _u14695)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u14693, _u14694)), c_List_Olist_Olist__size(_u14692, _u14693, _u14695))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 39.91/40.15 cnf(matrix-6354, plain, ( ( c_List_Olist_Olist__size(_u14696, _u14697, hAPP(hAPP(c_List_Omap(_u14698, _u14696), _u14699), _u14700)) = c_List_Olist_Olist__size(_u14698, hAPP(c_Fun_Ocomp(_u14696, tc_Nat_Onat, _u14698, _u14697), _u14699), _u14700)) )).
% 39.91/40.15 cnf(matrix-6355, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14701)), hAPP(hAPP(c_List_Omap(_u14702, _u14701), _u14703), _u14704)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14702)), _u14704)) )).
% 39.91/40.15 cnf(matrix-6356, plain, ( ( hAPP(hAPP(c_List_Omap(_u14705, _u14706), _u14707), _u14708) != hAPP(hAPP(c_List_Omap(_u14709, _u14706), _u14710), _u14711)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14705)), _u14708) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14709)), _u14711)) )).
% 39.91/40.15 cnf(matrix-6357, plain, ( ( _u14713 != _u14714) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14712)), _u14713) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14712)), _u14714)) )).
% 39.92/40.15 cnf(matrix-6358, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14715), tc_List_Olist(_u14715))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14715), tc_List_Olist(_u14715)), _u14716), _u14717)), hAPP(c_List_Olexn(_u14715, _u14718), _u14719))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14715)), _u14716) = _u14719) )).
% 39.92/40.15 cnf(matrix-6359, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14715), tc_List_Olist(_u14715))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14715), tc_List_Olist(_u14715)), _u14716), _u14717)), hAPP(c_List_Olexn(_u14715, _u14718), _u14719))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14715)), _u14717) = _u14719) )).
% 39.92/40.15 cnf(matrix-6360, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14720)), _u14721)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14720)), _u14722))) | ( _u14721 != hAPP(hAPP(c_List_Olist_OCons(_u14720), _u14723), _u14722)) )).
% 39.92/40.15 cnf(matrix-6361, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u14724), hAPP(c_List_Oset(_u14724), _u14725))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14724)), _u14725))) )).
% 39.92/40.15 cnf(matrix-6362, plain, ( ( hAPP(c_Finite__Set_Ocard(_u14726), hAPP(c_List_Oset(_u14726), _u14727)) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14726)), _u14727)) | hBOOL(hAPP(c_List_Odistinct(_u14726), _u14727)) )).
% 39.92/40.15 cnf(matrix-6363, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u14728), _u14729)) | ( hAPP(c_Finite__Set_Ocard(_u14728), hAPP(c_List_Oset(_u14728), _u14729)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14728)), _u14729)) )).
% 39.92/40.15 cnf(matrix-6364, plain, ( ( hAPP(c_List_Olexn(_u14730, _u14731), hAPP(c_Nat_OSuc, _u14732)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(tc_List_Olist(_u14730), tc_List_Olist(_u14730)), tc_HOL_Obool)), hAPP(c_Set_Oimage(tc_prod(tc_prod(_u14730, tc_List_Olist(_u14730)), tc_prod(_u14730, tc_List_Olist(_u14730))), tc_prod(tc_List_Olist(_u14730), tc_List_Olist(_u14730)), c_Product__Type_Omap__pair(tc_prod(_u14730, tc_List_Olist(_u14730)), tc_List_Olist(_u14730), tc_prod(_u14730, tc_List_Olist(_u14730)), tc_List_Olist(_u14730), hAPP(c_Product__Type_Oprod_Oprod__case(_u14730, tc_List_Olist(_u14730), tc_List_Olist(_u14730)), c_List_Olist_OCons(_u14730)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14730, tc_List_Olist(_u14730), tc_List_Olist(_u14730)), c_List_Olist_OCons(_u14730)))), c_Wellfounded_Olex__prod(_u14730, tc_List_Olist(_u14730), _u14731, hAPP(c_List_Olexn(_u14730, _u14731), _u14732)))), hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(_u14730), tc_List_Olist(_u14730))), hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u14730), tc_List_Olist(_u14730), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14730), tc_fun(tc_List_Olist(_u14730), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14730), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u14730), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14730), tc_HOL_Obool)), tc_List_Olist(_u14730)), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u14730))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u14730)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14730), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u14730)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u14730)))), hAPP(c_Nat_OSuc, _u14732))))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14730), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u14730)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u14730)))), hAPP(c_Nat_OSuc, _u14732))))))) )).
% 39.92/40.15 cnf(matrix-6365, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u14733), _u14734), hAPP(c_List_Oset(_u14733), _u14735))) | 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(_u14733)), _u14735))) )).
% 39.92/40.15 cnf(matrix-6366, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14736)), hAPP(hAPP(c_List_Olist_OCons(_u14736), _u14737), _u14738)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14736)), _u14738)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 39.92/40.15 cnf(matrix-6367, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14745), tc_List_Olist(_u14745))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14745), tc_List_Olist(_u14745)), hAPP(hAPP(c_List_Olist_OCons(_u14745), _u14747), _u14749)), hAPP(hAPP(c_List_Olist_OCons(_u14745), _u14751), _u14753))), c_List_Olex(_u14745, _u14755))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14745, _u14745)), hAPP(hAPP(c_Product__Type_OPair(_u14745, _u14745), _u14747), _u14751)), _u14755)) | ( _u14747 = _u14751) )).
% 39.92/40.15 cnf(matrix-6368, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14745), tc_List_Olist(_u14745))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14745), tc_List_Olist(_u14745)), hAPP(hAPP(c_List_Olist_OCons(_u14745), _u14747), _u14749)), hAPP(hAPP(c_List_Olist_OCons(_u14745), _u14751), _u14753))), c_List_Olex(_u14745, _u14755))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14745, _u14745)), hAPP(hAPP(c_Product__Type_OPair(_u14745, _u14745), _u14747), _u14751)), _u14755)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14745), tc_List_Olist(_u14745))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14745), tc_List_Olist(_u14745)), _u14749), _u14753)), c_List_Olex(_u14745, _u14755))) )).
% 39.92/40.15 cnf(matrix-6369, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14745), tc_List_Olist(_u14745))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14745), tc_List_Olist(_u14745)), hAPP(hAPP(c_List_Olist_OCons(_u14745), _u14747), _u14749)), hAPP(hAPP(c_List_Olist_OCons(_u14745), _u14751), _u14753))), c_List_Olex(_u14745, _u14755))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14745)), _u14749) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14745)), _u14753)) | ( _u14747 = _u14751) )).
% 39.92/40.15 cnf(matrix-6370, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14745), tc_List_Olist(_u14745))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14745), tc_List_Olist(_u14745)), hAPP(hAPP(c_List_Olist_OCons(_u14745), _u14747), _u14749)), hAPP(hAPP(c_List_Olist_OCons(_u14745), _u14751), _u14753))), c_List_Olex(_u14745, _u14755))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14745)), _u14749) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14745)), _u14753)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14745), tc_List_Olist(_u14745))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14745), tc_List_Olist(_u14745)), _u14749), _u14753)), c_List_Olex(_u14745, _u14755))) )).
% 39.92/40.15 cnf(matrix-6371, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14746), tc_List_Olist(_u14746))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14746), tc_List_Olist(_u14746)), hAPP(hAPP(c_List_Olist_OCons(_u14746), _u14748), _u14750)), hAPP(hAPP(c_List_Olist_OCons(_u14746), _u14752), _u14754))), c_List_Olex(_u14746, _u14756))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14746, _u14746)), hAPP(hAPP(c_Product__Type_OPair(_u14746, _u14746), _u14748), _u14752)), _u14756)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14746)), _u14750) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14746)), _u14754)) )).
% 39.92/40.15 cnf(matrix-6372, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14746), tc_List_Olist(_u14746))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14746), tc_List_Olist(_u14746)), hAPP(hAPP(c_List_Olist_OCons(_u14746), _u14748), _u14750)), hAPP(hAPP(c_List_Olist_OCons(_u14746), _u14752), _u14754))), c_List_Olex(_u14746, _u14756))) | ( _u14748 != _u14752) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14746), tc_List_Olist(_u14746))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14746), tc_List_Olist(_u14746)), _u14750), _u14754)), c_List_Olex(_u14746, _u14756))) )).
% 39.92/40.15 cnf(matrix-6373, plain, ( ( c_List_Olenlex(_u14757, _u14758) = hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(_u14757), tc_List_Olist(_u14757))), hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u14757), tc_List_Olist(_u14757), tc_HOL_Obool), hAPP(hAPP(c_COMBS(tc_List_Olist(_u14757), tc_fun(tc_List_Olist(_u14757), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14757), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14757), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_List_Olist(_u14757), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14757), tc_HOL_Obool)), tc_List_Olist(_u14757)), c_COMBS(tc_List_Olist(_u14757), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14757), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14757), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_List_Olist(_u14757)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u14757)), c_fdisj)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14757), tc_fun(tc_List_Olist(_u14757), tc_Nat_Onat), tc_fun(tc_List_Olist(_u14757), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u14757), tc_Nat_Onat), tc_fun(tc_List_Olist(_u14757), tc_HOL_Obool)), tc_List_Olist(_u14757)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u14757))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u14757)), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u14757))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u14757)))))), hAPP(hAPP(c_COMBS(tc_List_Olist(_u14757), tc_fun(tc_List_Olist(_u14757), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14757), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14757), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_List_Olist(_u14757), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14757), tc_HOL_Obool)), tc_List_Olist(_u14757)), c_COMBS(tc_List_Olist(_u14757), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14757), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14757), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_List_Olist(_u14757)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u14757)), c_fconj)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14757), tc_fun(tc_List_Olist(_u14757), tc_Nat_Onat), tc_fun(tc_List_Olist(_u14757), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u14757), tc_Nat_Onat), tc_fun(tc_List_Olist(_u14757), tc_HOL_Obool)), tc_List_Olist(_u14757)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u14757))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u14757)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u14757))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u14757)))))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14757), tc_fun(tc_prod(tc_List_Olist(_u14757), tc_List_Olist(_u14757)), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14757), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14757), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u14757), tc_List_Olist(_u14757)), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u14757), tc_List_Olist(_u14757)), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14757), tc_HOL_Obool)), tc_List_Olist(_u14757)), c_COMBC(tc_List_Olist(_u14757), tc_fun(tc_prod(tc_List_Olist(_u14757), tc_List_Olist(_u14757)), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14757), tc_prod(tc_List_Olist(_u14757), tc_List_Olist(_u14757))), tc_fun(tc_List_Olist(_u14757), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u14757), tc_List_Olist(_u14757)), tc_HOL_Obool), tc_HOL_Obool)), tc_List_Olist(_u14757)), hAPP(c_COMBB(tc_prod(tc_List_Olist(_u14757), tc_List_Olist(_u14757)), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u14757), tc_List_Olist(_u14757)), tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u14757)), c_member(tc_prod(tc_List_Olist(_u14757), tc_List_Olist(_u14757))))), c_Product__Type_OPair(tc_List_Olist(_u14757), tc_List_Olist(_u14757))))), c_List_Olex(_u14757, _u14758))))))) )).
% 39.92/40.15 cnf(matrix-6374, plain, ( ( c_List_Olenlex(_u14759, _u14760) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat, tc_List_Olist(_u14759)), tc_List_Olist(_u14759)), c_Wellfounded_Olex__prod(tc_Nat_Onat, tc_List_Olist(_u14759), c_Wellfounded_Oless__than, c_List_Olex(_u14759, _u14760))), hAPP(hAPP(c_COMBS(tc_List_Olist(_u14759), tc_List_Olist(_u14759), tc_prod(tc_Nat_Onat, tc_List_Olist(_u14759))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_List_Olist(_u14759), tc_prod(tc_Nat_Onat, tc_List_Olist(_u14759))), tc_List_Olist(_u14759)), c_Product__Type_OPair(tc_Nat_Onat, tc_List_Olist(_u14759))), c_Nat_Osize__class_Osize(tc_List_Olist(_u14759)))), c_COMBI(tc_List_Olist(_u14759))))) )).
% 39.92/40.15 cnf(matrix-6375, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u14761), _u14762), hAPP(c_List_Oset(_u14761), _u14763))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14764), hAPP(_u14765, _u14762))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14764), c_List_Olist_Olist__size(_u14761, _u14765, _u14763))) )).
% 39.92/40.15 cnf(matrix-6376, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u14766), _u14767), hAPP(c_List_Oset(_u14766), _u14768))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u14769), hAPP(_u14770, _u14767))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u14769), c_List_Olist_Olist__size(_u14766, _u14770, _u14768))) )).
% 39.92/40.15 cnf(matrix-6377, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14771), _u14772)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(_u14771)), hAPP(c_Set_OCollect(tc_List_Olist(_u14771)), hAPP(hAPP(c_COMBS(tc_List_Olist(_u14771), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u14771)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14771), tc_fun(_u14771, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u14771, tc_HOL_Obool), tc_fun(tc_fun(_u14771, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u14771)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u14771, tc_HOL_Obool))), c_List_Oset(_u14771))), _u14772))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14771), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u14771)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u14771)))), _u14773))))) )).
% 39.92/40.15 cnf(matrix-6378, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u14774))), c_Enum_Osublists(_u14774, _u14775)) = 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(_u14774)), _u14775))) )).
% 39.92/40.15 cnf(matrix-6379, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14776)), c_List_Osublist(_u14776, _u14777, _u14778)) = 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(_u14776)), _u14777)))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool), c_member(tc_Nat_Onat)), _u14778))))) )).
% 39.92/40.15 cnf(matrix-6380, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u14779), _u14780)) | hBOOL(hAPP(c_List_Odistinct(_u14779), c_List_Osublist(_u14779, _u14780, _u14781))) )).
% 39.92/40.15 cnf(matrix-6381, plain, ( hBOOL(hAPP(hAPP(c_member(_u14782), _u14783), hAPP(c_List_Oset(_u14782), _u14784))) | ~hBOOL(hAPP(hAPP(c_member(_u14782), _u14783), hAPP(c_List_Oset(_u14782), c_List_Osublist(_u14782, _u14784, _u14785)))) )).
% 39.92/40.15 cnf(matrix-6382, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u14786), _u14787), hAPP(c_List_Oset(_u14786), c_List_Osublist(_u14786, _u14788, _u14789)))) | hBOOL(hAPP(hAPP(c_member(_u14786), _u14787), hAPP(c_List_Oset(_u14786), _u14788))) )).
% 39.92/40.15 cnf(matrix-6383, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14790, tc_HOL_Obool)), hAPP(c_List_Oset(_u14790), c_List_Osublist(_u14790, _u14791, _u14792))), hAPP(c_List_Oset(_u14790), _u14791))) )).
% 39.92/40.15 cnf(matrix-6384, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u14793), _u14794)) | hBOOL(hAPP(c_List_Odistinct(tc_fun(_u14793, tc_HOL_Obool)), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u14793), tc_fun(_u14793, tc_HOL_Obool)), c_List_Oset(_u14793)), c_Enum_Osublists(_u14793, _u14794)))) )).
% 39.92/40.15 cnf(matrix-6385, plain, ( ( hAPP(c_Set_Oimage(tc_List_Olist(_u14795), tc_fun(_u14795, tc_HOL_Obool), c_List_Oset(_u14795)), hAPP(c_List_Oset(tc_List_Olist(_u14795)), c_Enum_Osublists(_u14795, _u14796))) = hAPP(c_Set_OPow(_u14795), hAPP(c_List_Oset(_u14795), _u14796))) )).
% 39.92/40.15 cnf(matrix-6386, plain, ( ( hAPP(c_List_Oset(tc_List_Olist(_u14797)), c_Enum_On__lists(_u14797, _u14798, _u14799)) = hAPP(c_Set_OCollect(tc_List_Olist(_u14797)), hAPP(hAPP(c_COMBS(tc_List_Olist(_u14797), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u14797)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14797), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u14797)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u14797)))), _u14798))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14797), tc_fun(_u14797, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u14797, tc_HOL_Obool), tc_fun(tc_fun(_u14797, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u14797)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u14797, tc_HOL_Obool))), c_List_Oset(_u14797))), hAPP(c_List_Oset(_u14797), _u14799))))) )).
% 39.92/40.15 cnf(matrix-6387, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14806), tc_List_Olist(_u14806))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14806), tc_List_Olist(_u14806)), hAPP(hAPP(c_List_Olist_OCons(_u14806), _u14808), _u14810)), hAPP(hAPP(c_List_Olist_OCons(_u14806), _u14812), _u14814))), c_List_Olexord(_u14806, _u14816))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14806, _u14806)), hAPP(hAPP(c_Product__Type_OPair(_u14806, _u14806), _u14808), _u14812)), _u14816)) | ( _u14808 = _u14812) )).
% 39.92/40.15 cnf(matrix-6388, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14806), tc_List_Olist(_u14806))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14806), tc_List_Olist(_u14806)), hAPP(hAPP(c_List_Olist_OCons(_u14806), _u14808), _u14810)), hAPP(hAPP(c_List_Olist_OCons(_u14806), _u14812), _u14814))), c_List_Olexord(_u14806, _u14816))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14806, _u14806)), hAPP(hAPP(c_Product__Type_OPair(_u14806, _u14806), _u14808), _u14812)), _u14816)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14806), tc_List_Olist(_u14806))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14806), tc_List_Olist(_u14806)), _u14810), _u14814)), c_List_Olexord(_u14806, _u14816))) )).
% 39.92/40.15 cnf(matrix-6389, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14807), tc_List_Olist(_u14807))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14807), tc_List_Olist(_u14807)), hAPP(hAPP(c_List_Olist_OCons(_u14807), _u14809), _u14811)), hAPP(hAPP(c_List_Olist_OCons(_u14807), _u14813), _u14815))), c_List_Olexord(_u14807, _u14817))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14807, _u14807)), hAPP(hAPP(c_Product__Type_OPair(_u14807, _u14807), _u14809), _u14813)), _u14817)) )).
% 39.92/40.15 cnf(matrix-6390, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14807), tc_List_Olist(_u14807))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14807), tc_List_Olist(_u14807)), hAPP(hAPP(c_List_Olist_OCons(_u14807), _u14809), _u14811)), hAPP(hAPP(c_List_Olist_OCons(_u14807), _u14813), _u14815))), c_List_Olexord(_u14807, _u14817))) | ( _u14809 != _u14813) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14807), tc_List_Olist(_u14807))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14807), tc_List_Olist(_u14807)), _u14811), _u14815)), c_List_Olexord(_u14807, _u14817))) )).
% 39.92/40.15 cnf(matrix-6391, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u14818), _u14819)) | hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u14818)), c_Enum_On__lists(_u14818, _u14820, _u14819))) )).
% 39.92/40.15 cnf(matrix-6392, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u14821)), _u14822), hAPP(c_List_Oset(tc_List_Olist(_u14821)), c_Enum_On__lists(_u14821, _u14823, _u14824)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14821)), _u14822) = _u14823) )).
% 39.92/40.15 cnf(matrix-6393, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u14825))), c_Enum_On__lists(_u14825, _u14826, _u14827)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14825)), _u14827)), _u14826)) )).
% 39.92/40.15 cnf(matrix-6394, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14832), tc_List_Olist(_u14832))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14832), tc_List_Olist(_u14832)), _u14834), _u14836)), c_List_Olex(_u14832, _u14838))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14832), tc_List_Olist(_u14832))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14832), tc_List_Olist(_u14832)), _u14834), _u14836)), c_List_Olexord(_u14832, _u14838))) )).
% 39.92/40.15 cnf(matrix-6395, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14832), tc_List_Olist(_u14832))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14832), tc_List_Olist(_u14832)), _u14834), _u14836)), c_List_Olex(_u14832, _u14838))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14832)), _u14834) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14832)), _u14836)) )).
% 39.92/40.15 cnf(matrix-6396, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14833), tc_List_Olist(_u14833))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14833), tc_List_Olist(_u14833)), _u14835), _u14837)), c_List_Olexord(_u14833, _u14839))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14833)), _u14835) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14833)), _u14837)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14833), tc_List_Olist(_u14833))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14833), tc_List_Olist(_u14833)), _u14835), _u14837)), c_List_Olex(_u14833, _u14839))) )).
% 39.92/40.15 cnf(matrix-6397, plain, ( ( hAPP(c_Relation_OImage(tc_List_Olist(_u14840), tc_List_Olist(_u14840), c_List_Olistrel(_u14840, _u14841)), hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u14840)), hAPP(hAPP(c_List_Olist_OCons(_u14840), _u14842), _u14843)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u14840), tc_HOL_Obool)))) = c_List_Oset__Cons(_u14840, hAPP(c_Relation_OImage(_u14840, _u14840, _u14841), hAPP(hAPP(c_Set_Oinsert(_u14840), _u14842), c_Orderings_Obot__class_Obot(tc_fun(_u14840, tc_HOL_Obool)))), hAPP(c_Relation_OImage(tc_List_Olist(_u14840), tc_List_Olist(_u14840), c_List_Olistrel(_u14840, _u14841)), hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u14840)), _u14843), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u14840), tc_HOL_Obool)))))) )).
% 39.92/40.15 cnf(matrix-6398, plain, ( ( c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u14844, _u14845) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u14844), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u14845), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 39.92/40.15 cnf(matrix-6399, plain, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u14846, _u14847) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u14846, _u14847))) )).
% 39.92/40.15 cnf(matrix-6400, plain, ( ( hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u14848, _u14849)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u14848, _u14849)) )).
% 39.92/40.15 cnf(matrix-6401, plain, ( hBOOL(hAPP(c_List_Odistinct(tc_Int_Oint), c_List_Oupto(_u14850, _u14851))) )).
% 39.92/40.15 cnf(matrix-6402, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14852, _u14852), tc_HOL_Obool)), _u14853), _u14854)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u14852), tc_List_Olist(_u14852)), tc_HOL_Obool)), c_List_Olistrel(_u14852, _u14853)), c_List_Olistrel(_u14852, _u14854))) )).
% 39.92/40.15 cnf(matrix-6403, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14855), tc_List_Olist(_u14855))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14855), tc_List_Olist(_u14855)), _u14856), _u14857)), c_List_Olistrel(_u14855, _u14858))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14855)), _u14856) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14855)), _u14857)) )).
% 39.92/40.15 cnf(matrix-6404, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u14859), _u14860) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u14859, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u14860), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 39.92/40.15 cnf(matrix-6405, plain, ( ( c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u14861, _u14862) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u14861), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u14862))) )).
% 39.92/40.15 cnf(matrix-6406, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14863, _u14863)), hAPP(hAPP(c_Product__Type_OPair(_u14863, _u14863), _u14864), _u14865)), _u14866)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14863), tc_List_Olist(_u14863))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14863), tc_List_Olist(_u14863)), _u14867), _u14868)), c_List_Olistrel(_u14863, _u14866))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14863), tc_List_Olist(_u14863))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14863), tc_List_Olist(_u14863)), hAPP(hAPP(c_List_Olist_OCons(_u14863), _u14864), _u14867)), hAPP(hAPP(c_List_Olist_OCons(_u14863), _u14865), _u14868))), c_List_Olistrel(_u14863, _u14866))) )).
% 39.92/40.15 cnf(matrix-6407, plain, ( ~c_List_Onat__list(_u14870) | c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint), _u14870)) )).
% 39.92/40.15 cnf(matrix-6408, plain, ( ~c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint), _u14871)) | c_List_Onat__list(_u14871) )).
% 39.92/40.15 cnf(matrix-6409, plain, ( ~c_List_Olistrelp(_u14876, hAPP(hAPP(c_COMBC(_u14876, tc_fun(tc_prod(_u14876, _u14876), tc_HOL_Obool), tc_fun(_u14876, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14876, tc_fun(tc_fun(tc_prod(_u14876, _u14876), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14876, _u14876), tc_HOL_Obool), tc_fun(_u14876, tc_HOL_Obool)), _u14876), c_COMBC(_u14876, tc_fun(tc_prod(_u14876, _u14876), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14876, tc_prod(_u14876, _u14876)), tc_fun(_u14876, tc_fun(tc_fun(tc_prod(_u14876, _u14876), tc_HOL_Obool), tc_HOL_Obool)), _u14876), hAPP(c_COMBB(tc_prod(_u14876, _u14876), tc_fun(tc_fun(tc_prod(_u14876, _u14876), tc_HOL_Obool), tc_HOL_Obool), _u14876), c_member(tc_prod(_u14876, _u14876)))), c_Product__Type_OPair(_u14876, _u14876)))), _u14878), _u14880, _u14882) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14876), tc_List_Olist(_u14876))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14876), tc_List_Olist(_u14876)), _u14880), _u14882)), c_List_Olistrel(_u14876, _u14878))) )).
% 39.92/40.15 cnf(matrix-6410, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14877), tc_List_Olist(_u14877))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14877), tc_List_Olist(_u14877)), _u14881), _u14883)), c_List_Olistrel(_u14877, _u14879))) | c_List_Olistrelp(_u14877, hAPP(hAPP(c_COMBC(_u14877, tc_fun(tc_prod(_u14877, _u14877), tc_HOL_Obool), tc_fun(_u14877, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14877, tc_fun(tc_fun(tc_prod(_u14877, _u14877), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14877, _u14877), tc_HOL_Obool), tc_fun(_u14877, tc_HOL_Obool)), _u14877), c_COMBC(_u14877, tc_fun(tc_prod(_u14877, _u14877), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14877, tc_prod(_u14877, _u14877)), tc_fun(_u14877, tc_fun(tc_fun(tc_prod(_u14877, _u14877), tc_HOL_Obool), tc_HOL_Obool)), _u14877), hAPP(c_COMBB(tc_prod(_u14877, _u14877), tc_fun(tc_fun(tc_prod(_u14877, _u14877), tc_HOL_Obool), tc_HOL_Obool), _u14877), c_member(tc_prod(_u14877, _u14877)))), c_Product__Type_OPair(_u14877, _u14877)))), _u14879), _u14881, _u14883) )).
% 39.92/40.15 cnf(matrix-6411, plain, ( ~c_List_Olistrelp(_u14890, _u14892, hAPP(hAPP(c_List_Olist_OCons(_u14890), _u14894), _u14896), hAPP(hAPP(c_List_Olist_OCons(_u14890), _u14898), _u14900)) | hBOOL(hAPP(hAPP(_u14892, _u14894), _u14898)) )).
% 39.92/40.15 cnf(matrix-6412, plain, ( ~c_List_Olistrelp(_u14890, _u14892, hAPP(hAPP(c_List_Olist_OCons(_u14890), _u14894), _u14896), hAPP(hAPP(c_List_Olist_OCons(_u14890), _u14898), _u14900)) | c_List_Olistrelp(_u14890, _u14892, _u14896, _u14900) )).
% 39.92/40.15 cnf(matrix-6413, plain, ( ~hBOOL(hAPP(hAPP(_u14893, _u14895), _u14899)) | ~c_List_Olistrelp(_u14891, _u14893, _u14897, _u14901) | c_List_Olistrelp(_u14891, _u14893, hAPP(hAPP(c_List_Olist_OCons(_u14891), _u14895), _u14897), hAPP(hAPP(c_List_Olist_OCons(_u14891), _u14899), _u14901)) )).
% 39.92/40.15 cnf(matrix-6414, plain, ( ~hBOOL(hAPP(hAPP(_u14902, _u14903), _u14904)) | ~c_List_Olistrelp(_u14905, _u14902, _u14906, _u14907) | c_List_Olistrelp(_u14905, _u14902, hAPP(hAPP(c_List_Olist_OCons(_u14905), _u14903), _u14906), hAPP(hAPP(c_List_Olist_OCons(_u14905), _u14904), _u14907)) )).
% 39.92/40.15 cnf(matrix-6415, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14914), tc_List_Olist(_u14914))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14914), tc_List_Olist(_u14914)), _u14916), _u14918)), c_List_Olistrel(_u14914, _u14920))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14914)), _u14916) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14914)), _u14918)) )).
% 39.92/40.15 cnf(matrix-6416, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14914), tc_List_Olist(_u14914))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14914), tc_List_Olist(_u14914)), _u14916), _u14918)), c_List_Olistrel(_u14914, _u14920))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14914, _u14914)), _u14908), hAPP(c_List_Oset(tc_prod(_u14914, _u14914)), hAPP(hAPP(c_List_Ozip(_u14914, _u14914), _u14916), _u14918)))) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u14914, _u14914, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u14914, tc_fun(tc_prod(_u14914, _u14914), tc_HOL_Obool), tc_fun(_u14914, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14914, tc_fun(tc_fun(tc_prod(_u14914, _u14914), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14914, _u14914), tc_HOL_Obool), tc_fun(_u14914, tc_HOL_Obool)), _u14914), c_COMBC(_u14914, tc_fun(tc_prod(_u14914, _u14914), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14914, tc_prod(_u14914, _u14914)), tc_fun(_u14914, tc_fun(tc_fun(tc_prod(_u14914, _u14914), tc_HOL_Obool), tc_HOL_Obool)), _u14914), hAPP(c_COMBB(tc_prod(_u14914, _u14914), tc_fun(tc_fun(tc_prod(_u14914, _u14914), tc_HOL_Obool), tc_HOL_Obool), _u14914), c_member(tc_prod(_u14914, _u14914)))), c_Product__Type_OPair(_u14914, _u14914)))), _u14920)), _u14908)) )).
% 39.92/40.15 cnf(matrix-6417, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14915), tc_List_Olist(_u14915))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14915), tc_List_Olist(_u14915)), _u14917), _u14919)), c_List_Olistrel(_u14915, _u14921))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14915)), _u14917) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14915)), _u14919)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14915, _u14915)), skolem348(_u14921, _u14919, _u14917, _u14915)), hAPP(c_List_Oset(tc_prod(_u14915, _u14915)), hAPP(hAPP(c_List_Ozip(_u14915, _u14915), _u14917), _u14919)))) )).
% 39.92/40.15 cnf(matrix-6418, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14915), tc_List_Olist(_u14915))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14915), tc_List_Olist(_u14915)), _u14917), _u14919)), c_List_Olistrel(_u14915, _u14921))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14915)), _u14917) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14915)), _u14919)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u14915, _u14915, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u14915, tc_fun(tc_prod(_u14915, _u14915), tc_HOL_Obool), tc_fun(_u14915, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14915, tc_fun(tc_fun(tc_prod(_u14915, _u14915), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14915, _u14915), tc_HOL_Obool), tc_fun(_u14915, tc_HOL_Obool)), _u14915), c_COMBC(_u14915, tc_fun(tc_prod(_u14915, _u14915), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14915, tc_prod(_u14915, _u14915)), tc_fun(_u14915, tc_fun(tc_fun(tc_prod(_u14915, _u14915), tc_HOL_Obool), tc_HOL_Obool)), _u14915), hAPP(c_COMBB(tc_prod(_u14915, _u14915), tc_fun(tc_fun(tc_prod(_u14915, _u14915), tc_HOL_Obool), tc_HOL_Obool), _u14915), c_member(tc_prod(_u14915, _u14915)))), c_Product__Type_OPair(_u14915, _u14915)))), _u14921)), skolem348(_u14921, _u14919, _u14917, _u14915))) )).
% 39.92/40.15 cnf(matrix-6419, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14924), tc_List_Olist(_u14924))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14924), tc_List_Olist(_u14924)), _u14925), hAPP(hAPP(c_List_Olist_OCons(_u14924), _u14926), _u14927))), c_List_Olistrel(_u14924, _u14928))) | ( _u14925 = hAPP(hAPP(c_List_Olist_OCons(_u14924), skolem349(_u14928, _u14927, _u14926, _u14925, _u14924)), skolem350(_u14928, _u14927, _u14926, _u14925, _u14924))) )).
% 39.92/40.15 cnf(matrix-6420, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14924), tc_List_Olist(_u14924))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14924), tc_List_Olist(_u14924)), _u14925), hAPP(hAPP(c_List_Olist_OCons(_u14924), _u14926), _u14927))), c_List_Olistrel(_u14924, _u14928))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14924, _u14924)), hAPP(hAPP(c_Product__Type_OPair(_u14924, _u14924), skolem349(_u14928, _u14927, _u14926, _u14925, _u14924)), _u14926)), _u14928)) )).
% 39.92/40.15 cnf(matrix-6421, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14924), tc_List_Olist(_u14924))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14924), tc_List_Olist(_u14924)), _u14925), hAPP(hAPP(c_List_Olist_OCons(_u14924), _u14926), _u14927))), c_List_Olistrel(_u14924, _u14928))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14924), tc_List_Olist(_u14924))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14924), tc_List_Olist(_u14924)), skolem350(_u14928, _u14927, _u14926, _u14925, _u14924)), _u14927)), c_List_Olistrel(_u14924, _u14928))) )).
% 39.92/40.15 cnf(matrix-6422, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_prod(_u14929, _u14930))), hAPP(hAPP(c_List_Ozip(_u14929, _u14930), _u14931), _u14932)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14929)), _u14931)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14930)), _u14932))) )).
% 39.92/40.15 cnf(matrix-6423, plain, ( ( hAPP(hAPP(c_List_Ozip(_u14933, _u14933), _u14934), _u14934) = hAPP(hAPP(c_List_Omap(_u14933, tc_prod(_u14933, _u14933)), hAPP(hAPP(c_COMBS(_u14933, _u14933, tc_prod(_u14933, _u14933)), c_Product__Type_OPair(_u14933, _u14933)), c_COMBI(_u14933))), _u14934)) )).
% 39.92/40.15 cnf(matrix-6424, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u14935), _u14936)) | hBOOL(hAPP(c_List_Odistinct(tc_prod(_u14935, _u14937)), hAPP(hAPP(c_List_Ozip(_u14935, _u14937), _u14936), _u14938))) )).
% 39.92/40.15 cnf(matrix-6425, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u14939), _u14940)) | hBOOL(hAPP(c_List_Odistinct(tc_prod(_u14941, _u14939)), hAPP(hAPP(c_List_Ozip(_u14941, _u14939), _u14942), _u14940))) )).
% 39.92/40.15 cnf(matrix-6426, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14943)), _u14944) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14945)), _u14946)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14943)), _u14947) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14945)), _u14946)) | ~hBOOL(hAPP(c_List_Odistinct(_u14945), _u14946)) | ( hAPP(c_Map_Omap__of(_u14945, _u14943), hAPP(hAPP(c_List_Ozip(_u14945, _u14943), _u14946), _u14944)) != hAPP(c_Map_Omap__of(_u14945, _u14943), hAPP(hAPP(c_List_Ozip(_u14945, _u14943), _u14946), _u14947))) | ( _u14944 = _u14947) )).
% 39.92/40.15 cnf(matrix-6427, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14948)), _u14949) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14950)), _u14951)) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u14948, _u14950), _u14948), c_Product__Type_Ofst(_u14948, _u14950)), hAPP(hAPP(c_List_Ozip(_u14948, _u14950), _u14949), _u14951)) = _u14949) )).
% 39.92/40.15 cnf(matrix-6428, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14952)), _u14953) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14954)), _u14955)) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u14952, _u14954), _u14954), c_Product__Type_Osnd(_u14952, _u14954)), hAPP(hAPP(c_List_Ozip(_u14952, _u14954), _u14953), _u14955)) = _u14955) )).
% 39.92/40.15 cnf(matrix-6429, plain, ( ( hAPP(hAPP(c_List_Ozip(_u14956, _u14957), hAPP(hAPP(c_List_Omap(tc_prod(_u14956, _u14957), _u14956), c_Product__Type_Ofst(_u14956, _u14957)), _u14958)), hAPP(hAPP(c_List_Omap(tc_prod(_u14956, _u14957), _u14957), c_Product__Type_Osnd(_u14956, _u14957)), _u14958)) = _u14958) )).
% 39.92/40.15 cnf(matrix-6430, plain, ( ( hAPP(hAPP(c_List_Ozip(_u14959, _u14960), hAPP(hAPP(c_List_Olist_OCons(_u14959), _u14961), _u14962)), hAPP(hAPP(c_List_Olist_OCons(_u14960), _u14963), _u14964)) = hAPP(hAPP(c_List_Olist_OCons(tc_prod(_u14959, _u14960)), hAPP(hAPP(c_Product__Type_OPair(_u14959, _u14960), _u14961), _u14963)), hAPP(hAPP(c_List_Ozip(_u14959, _u14960), _u14962), _u14964))) )).
% 39.92/40.15 cnf(matrix-6431, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14965)), _u14966) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14967)), _u14968)) | ( hAPP(hAPP(c_List_Ozip(_u14965, _u14967), _u14966), _u14968) != _u14969) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u14965, _u14967), _u14965), c_Product__Type_Ofst(_u14965, _u14967)), _u14969) = _u14966) )).
% 39.92/40.15 cnf(matrix-6432, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14965)), _u14966) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14967)), _u14968)) | ( hAPP(hAPP(c_List_Ozip(_u14965, _u14967), _u14966), _u14968) != _u14969) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u14965, _u14967), _u14967), c_Product__Type_Osnd(_u14965, _u14967)), _u14969) = _u14968) )).
% 39.92/40.15 cnf(matrix-6433, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14965)), _u14966) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14967)), _u14968)) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u14965, _u14967), _u14965), c_Product__Type_Ofst(_u14965, _u14967)), _u14969) != _u14966) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u14965, _u14967), _u14967), c_Product__Type_Osnd(_u14965, _u14967)), _u14969) != _u14968) | ( hAPP(hAPP(c_List_Ozip(_u14965, _u14967), _u14966), _u14968) = _u14969) )).
% 39.92/40.15 cnf(matrix-6434, plain, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u14970, _u14971), _u14972), _u14973), hAPP(hAPP(c_List_Ozip(_u14970, _u14971), hAPP(hAPP(c_List_Omap(_u14974, _u14970), _u14975), _u14976)), _u14977)) = hAPP(hAPP(c_List_Omap(tc_prod(_u14974, _u14971), _u14972), hAPP(c_Product__Type_Oprod_Oprod__case(_u14974, _u14971, _u14972), hAPP(hAPP(c_COMBB(tc_fun(_u14971, tc_prod(_u14970, _u14971)), tc_fun(_u14971, _u14972), _u14974), hAPP(c_COMBB(tc_prod(_u14970, _u14971), _u14972, _u14971), _u14973)), hAPP(hAPP(c_COMBB(_u14970, tc_fun(_u14971, tc_prod(_u14970, _u14971)), _u14974), c_Product__Type_OPair(_u14970, _u14971)), _u14975)))), hAPP(hAPP(c_List_Ozip(_u14974, _u14971), _u14976), _u14977))) )).
% 39.92/40.15 cnf(matrix-6435, plain, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u14978, _u14979), _u14980), _u14981), hAPP(hAPP(c_List_Ozip(_u14978, _u14979), _u14982), hAPP(hAPP(c_List_Omap(_u14983, _u14979), _u14984), _u14985))) = hAPP(hAPP(c_List_Omap(tc_prod(_u14978, _u14983), _u14980), hAPP(c_Product__Type_Oprod_Oprod__case(_u14978, _u14983, _u14980), hAPP(hAPP(c_COMBB(tc_fun(_u14983, tc_prod(_u14978, _u14979)), tc_fun(_u14983, _u14980), _u14978), hAPP(c_COMBB(tc_prod(_u14978, _u14979), _u14980, _u14983), _u14981)), hAPP(hAPP(c_COMBC(_u14978, tc_fun(_u14983, _u14979), tc_fun(_u14983, tc_prod(_u14978, _u14979))), hAPP(hAPP(c_COMBB(tc_fun(_u14979, tc_prod(_u14978, _u14979)), tc_fun(tc_fun(_u14983, _u14979), tc_fun(_u14983, tc_prod(_u14978, _u14979))), _u14978), c_COMBB(_u14979, tc_prod(_u14978, _u14979), _u14983)), c_Product__Type_OPair(_u14978, _u14979))), _u14984)))), hAPP(hAPP(c_List_Ozip(_u14978, _u14983), _u14982), _u14985))) )).
% 39.92/40.15 cnf(matrix-6436, plain, ( ( _u14991 != _u14993) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14995)), _u14991) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14995)), _u14993)) )).
% 39.92/40.15 cnf(matrix-6437, plain, ( ( _u14991 != _u14993) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14995, _u14995)), _u14986), hAPP(c_List_Oset(tc_prod(_u14995, _u14995)), hAPP(hAPP(c_List_Ozip(_u14995, _u14995), _u14991), _u14993)))) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u14995, _u14995, tc_HOL_Obool), c_fequal), _u14986)) )).
% 39.92/40.15 cnf(matrix-6438, plain, ( ( _u14992 = _u14994) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14996)), _u14992) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14996)), _u14994)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14996, _u14996)), skolem351(_u14996, _u14994, _u14992)), hAPP(c_List_Oset(tc_prod(_u14996, _u14996)), hAPP(hAPP(c_List_Ozip(_u14996, _u14996), _u14992), _u14994)))) )).
% 39.92/40.15 cnf(matrix-6439, plain, ( ( _u14992 = _u14994) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14996)), _u14992) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14996)), _u14994)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u14996, _u14996, tc_HOL_Obool), c_fequal), skolem351(_u14996, _u14994, _u14992))) )).
% 39.92/40.15 cnf(matrix-6440, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14997, _u14998)), hAPP(hAPP(c_Product__Type_OPair(_u14997, _u14998), _u14999), _u15000)), hAPP(c_List_Oset(tc_prod(_u14997, _u14998)), hAPP(hAPP(c_List_Ozip(_u14997, _u14998), _u15001), _u15002)))) | hBOOL(hAPP(hAPP(c_member(_u14997), _u14999), hAPP(c_List_Oset(_u14997), _u15001))) )).
% 39.92/40.15 cnf(matrix-6441, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14997, _u14998)), hAPP(hAPP(c_Product__Type_OPair(_u14997, _u14998), _u14999), _u15000)), hAPP(c_List_Oset(tc_prod(_u14997, _u14998)), hAPP(hAPP(c_List_Ozip(_u14997, _u14998), _u15001), _u15002)))) | hBOOL(hAPP(hAPP(c_member(_u14998), _u15000), hAPP(c_List_Oset(_u14998), _u15002))) )).
% 39.92/40.15 cnf(matrix-6442, plain, ( hBOOL(hAPP(hAPP(c_member(_u15004), _u15006), hAPP(c_List_Oset(_u15004), _u15008))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15003, _u15004)), hAPP(hAPP(c_Product__Type_OPair(_u15003, _u15004), _u15005), _u15006)), hAPP(c_List_Oset(tc_prod(_u15003, _u15004)), hAPP(hAPP(c_List_Ozip(_u15003, _u15004), _u15007), _u15008)))) )).
% 39.92/40.15 cnf(matrix-6443, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15009, _u15010)), hAPP(hAPP(c_Product__Type_OPair(_u15009, _u15010), _u15011), _u15012)), hAPP(c_List_Oset(tc_prod(_u15009, _u15010)), hAPP(hAPP(c_List_Ozip(_u15009, _u15010), _u15013), _u15014)))) | hBOOL(hAPP(hAPP(c_member(_u15009), _u15011), hAPP(c_List_Oset(_u15009), _u15013))) )).
% 39.92/40.15 cnf(matrix-6444, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15019, _u15019)), hAPP(hAPP(c_Product__Type_OPair(_u15019, _u15019), _u15021), _u15023)), hAPP(c_List_Oset(tc_prod(_u15019, _u15019)), hAPP(hAPP(c_List_Ozip(_u15019, _u15019), _u15025), _u15025)))) | hBOOL(hAPP(hAPP(c_member(_u15019), _u15021), hAPP(c_List_Oset(_u15019), _u15025))) )).
% 39.92/40.15 cnf(matrix-6445, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15019, _u15019)), hAPP(hAPP(c_Product__Type_OPair(_u15019, _u15019), _u15021), _u15023)), hAPP(c_List_Oset(tc_prod(_u15019, _u15019)), hAPP(hAPP(c_List_Ozip(_u15019, _u15019), _u15025), _u15025)))) | ( _u15021 = _u15023) )).
% 39.92/40.15 cnf(matrix-6446, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15020), _u15022), hAPP(c_List_Oset(_u15020), _u15026))) | ( _u15022 != _u15024) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15020, _u15020)), hAPP(hAPP(c_Product__Type_OPair(_u15020, _u15020), _u15022), _u15024)), hAPP(c_List_Oset(tc_prod(_u15020, _u15020)), hAPP(hAPP(c_List_Ozip(_u15020, _u15020), _u15026), _u15026)))) )).
% 39.92/40.15 cnf(matrix-6447, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15027)), _u15028) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15029)), _u15030)) | ( hAPP(hAPP(c_Map_Omap__of(_u15027, _u15029), hAPP(hAPP(c_List_Ozip(_u15027, _u15029), _u15028), _u15030)), _u15031) != c_Option_Ooption_ONone(_u15029)) | ~hBOOL(hAPP(hAPP(c_member(_u15027), _u15031), hAPP(c_List_Oset(_u15027), _u15028))) )).
% 39.92/40.15 cnf(matrix-6448, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15027)), _u15028) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15029)), _u15030)) | hBOOL(hAPP(hAPP(c_member(_u15027), _u15031), hAPP(c_List_Oset(_u15027), _u15028))) | ( hAPP(hAPP(c_Map_Omap__of(_u15027, _u15029), hAPP(hAPP(c_List_Ozip(_u15027, _u15029), _u15028), _u15030)), _u15031) = c_Option_Ooption_ONone(_u15029)) )).
% 39.92/40.15 cnf(matrix-6449, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15034)), _u15035) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15036)), _u15037)) | ~hBOOL(hAPP(hAPP(c_member(_u15034), _u15038), hAPP(c_List_Oset(_u15034), _u15035))) | ( hAPP(hAPP(c_Map_Omap__of(_u15034, _u15036), hAPP(hAPP(c_List_Ozip(_u15034, _u15036), _u15035), _u15037)), _u15038) = hAPP(c_Option_Ooption_OSome(_u15036), skolem352(_u15038, _u15037, _u15036, _u15035, _u15034))) )).
% 39.92/40.15 cnf(matrix-6450, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15034)), _u15035) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15036)), _u15037)) | ( hAPP(hAPP(c_Map_Omap__of(_u15034, _u15036), hAPP(hAPP(c_List_Ozip(_u15034, _u15036), _u15035), _u15037)), _u15038) != hAPP(c_Option_Ooption_OSome(_u15036), _u15033)) | hBOOL(hAPP(hAPP(c_member(_u15034), _u15038), hAPP(c_List_Oset(_u15034), _u15035))) )).
% 39.92/40.15 cnf(matrix-6451, plain, ( ( hAPP(hAPP(c_List_Ozip(_u15039, _u15040), hAPP(hAPP(c_List_Omap(_u15041, _u15039), _u15042), _u15043)), hAPP(hAPP(c_List_Omap(_u15044, _u15040), _u15045), _u15046)) = hAPP(hAPP(c_List_Omap(tc_prod(_u15041, _u15044), tc_prod(_u15039, _u15040)), hAPP(c_Product__Type_Oprod_Oprod__case(_u15041, _u15044, tc_prod(_u15039, _u15040)), hAPP(hAPP(c_COMBC(_u15041, tc_fun(_u15044, _u15040), tc_fun(_u15044, tc_prod(_u15039, _u15040))), hAPP(hAPP(c_COMBB(tc_fun(_u15040, tc_prod(_u15039, _u15040)), tc_fun(tc_fun(_u15044, _u15040), tc_fun(_u15044, tc_prod(_u15039, _u15040))), _u15041), c_COMBB(_u15040, tc_prod(_u15039, _u15040), _u15044)), hAPP(hAPP(c_COMBB(_u15039, tc_fun(_u15040, tc_prod(_u15039, _u15040)), _u15041), c_Product__Type_OPair(_u15039, _u15040)), _u15042))), _u15045))), hAPP(hAPP(c_List_Ozip(_u15041, _u15044), _u15043), _u15046))) )).
% 39.92/40.15 cnf(matrix-6452, plain, ( ( hAPP(hAPP(c_List_Ozip(_u15047, _u15048), hAPP(hAPP(c_List_Omap(_u15049, _u15047), _u15050), _u15051)), _u15052) = hAPP(hAPP(c_List_Omap(tc_prod(_u15049, _u15048), tc_prod(_u15047, _u15048)), hAPP(c_Product__Type_Oprod_Oprod__case(_u15049, _u15048, tc_prod(_u15047, _u15048)), hAPP(hAPP(c_COMBB(_u15047, tc_fun(_u15048, tc_prod(_u15047, _u15048)), _u15049), c_Product__Type_OPair(_u15047, _u15048)), _u15050))), hAPP(hAPP(c_List_Ozip(_u15049, _u15048), _u15051), _u15052))) )).
% 39.92/40.15 cnf(matrix-6453, plain, ( ( hAPP(hAPP(c_List_Ozip(_u15053, _u15054), _u15055), hAPP(hAPP(c_List_Omap(_u15056, _u15054), _u15057), _u15058)) = hAPP(hAPP(c_List_Omap(tc_prod(_u15053, _u15056), tc_prod(_u15053, _u15054)), hAPP(c_Product__Type_Oprod_Oprod__case(_u15053, _u15056, tc_prod(_u15053, _u15054)), hAPP(hAPP(c_COMBC(_u15053, tc_fun(_u15056, _u15054), tc_fun(_u15056, tc_prod(_u15053, _u15054))), hAPP(hAPP(c_COMBB(tc_fun(_u15054, tc_prod(_u15053, _u15054)), tc_fun(tc_fun(_u15056, _u15054), tc_fun(_u15056, tc_prod(_u15053, _u15054))), _u15053), c_COMBB(_u15054, tc_prod(_u15053, _u15054), _u15056)), c_Product__Type_OPair(_u15053, _u15054))), _u15057))), hAPP(hAPP(c_List_Ozip(_u15053, _u15056), _u15055), _u15058))) )).
% 39.92/40.15 cnf(matrix-6454, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15059)), _u15060) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15061)), _u15062)) | ~hBOOL(hAPP(c_List_Odistinct(_u15059), _u15060)) | ( c_Map_Odom(_u15059, _u15061, hAPP(c_Map_Omap__of(_u15059, _u15061), hAPP(hAPP(c_List_Ozip(_u15059, _u15061), _u15060), _u15062))) = hAPP(c_List_Oset(_u15059), _u15060)) )).
% 39.92/40.15 cnf(matrix-6455, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15063)), _u15064) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15065)), _u15066)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15063)), _u15067) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15065)), _u15066)) | hBOOL(hAPP(hAPP(c_member(_u15065), _u15068), hAPP(c_List_Oset(_u15065), _u15066))) | ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u15065, tc_Option_Ooption(_u15063)), hAPP(c_Map_Omap__of(_u15065, _u15063), hAPP(hAPP(c_List_Ozip(_u15065, _u15063), _u15066), _u15064))), _u15068), hAPP(c_Option_Ooption_OSome(_u15063), _u15069)) != hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u15065, tc_Option_Ooption(_u15063)), hAPP(c_Map_Omap__of(_u15065, _u15063), hAPP(hAPP(c_List_Ozip(_u15065, _u15063), _u15066), _u15067))), _u15068), hAPP(c_Option_Ooption_OSome(_u15063), _u15070))) | ( hAPP(c_Map_Omap__of(_u15065, _u15063), hAPP(hAPP(c_List_Ozip(_u15065, _u15063), _u15066), _u15064)) = hAPP(c_Map_Omap__of(_u15065, _u15063), hAPP(hAPP(c_List_Ozip(_u15065, _u15063), _u15066), _u15067))) )).
% 39.92/40.15 cnf(matrix-6456, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15076), _u15078), hAPP(c_List_Oset(_u15076), _u15080))) | ( hAPP(hAPP(c_Map_Omap__of(_u15076, _u15082), hAPP(hAPP(c_List_Ozip(_u15076, _u15082), _u15080), hAPP(hAPP(c_List_Omap(_u15076, _u15082), _u15084), _u15080))), _u15078) = hAPP(c_Option_Ooption_OSome(_u15082), hAPP(_u15084, _u15078))) )).
% 39.92/40.15 cnf(matrix-6457, plain, ( hBOOL(hAPP(hAPP(c_member(_u15077), _u15079), hAPP(c_List_Oset(_u15077), _u15081))) | ( hAPP(hAPP(c_Map_Omap__of(_u15077, _u15083), hAPP(hAPP(c_List_Ozip(_u15077, _u15083), _u15081), hAPP(hAPP(c_List_Omap(_u15077, _u15083), _u15085), _u15081))), _u15079) = c_Option_Ooption_ONone(_u15083)) )).
% 39.92/40.15 cnf(matrix-6458, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15088), tc_List_Olist(_u15088))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15088), tc_List_Olist(_u15088)), hAPP(hAPP(c_List_Olist_OCons(_u15088), _u15089), _u15090)), _u15091)), c_List_Olistrel(_u15088, _u15092))) | ( _u15091 = hAPP(hAPP(c_List_Olist_OCons(_u15088), skolem353(_u15092, _u15091, _u15090, _u15089, _u15088)), skolem354(_u15092, _u15091, _u15090, _u15089, _u15088))) )).
% 39.92/40.15 cnf(matrix-6459, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15088), tc_List_Olist(_u15088))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15088), tc_List_Olist(_u15088)), hAPP(hAPP(c_List_Olist_OCons(_u15088), _u15089), _u15090)), _u15091)), c_List_Olistrel(_u15088, _u15092))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15088, _u15088)), hAPP(hAPP(c_Product__Type_OPair(_u15088, _u15088), _u15089), skolem353(_u15092, _u15091, _u15090, _u15089, _u15088))), _u15092)) )).
% 39.92/40.15 cnf(matrix-6460, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15088), tc_List_Olist(_u15088))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15088), tc_List_Olist(_u15088)), hAPP(hAPP(c_List_Olist_OCons(_u15088), _u15089), _u15090)), _u15091)), c_List_Olistrel(_u15088, _u15092))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15088), tc_List_Olist(_u15088))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15088), tc_List_Olist(_u15088)), _u15090), skolem354(_u15092, _u15091, _u15090, _u15089, _u15088))), c_List_Olistrel(_u15088, _u15092))) )).
% 39.92/40.15 cnf(matrix-6461, plain, ( ~class_Enum_Oenum(_u15093) | ~class_Enum_Oenum(_u15094) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15094)), _u15095) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15093)), c_Enum_Oenum__class_Oenum(_u15093))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15094)), _u15096) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15093)), c_Enum_Oenum__class_Oenum(_u15093))) | ( hAPP(c_Fun_Ocomp(tc_Option_Ooption(_u15094), _u15094, _u15093, c_Option_Othe(_u15094)), hAPP(c_Map_Omap__of(_u15093, _u15094), hAPP(hAPP(c_List_Ozip(_u15093, _u15094), c_Enum_Oenum__class_Oenum(_u15093)), _u15095))) != hAPP(c_Fun_Ocomp(tc_Option_Ooption(_u15094), _u15094, _u15093, c_Option_Othe(_u15094)), hAPP(c_Map_Omap__of(_u15093, _u15094), hAPP(hAPP(c_List_Ozip(_u15093, _u15094), c_Enum_Oenum__class_Oenum(_u15093)), _u15096)))) | ( _u15095 = _u15096) )).
% 39.92/40.15 cnf(matrix-6462, plain, ( ~class_Enum_Oenum(_u15097) | ~class_Enum_Oenum(_u15098) | ( c_Enum_Oenum__class_Oenum(tc_prod(_u15097, _u15098)) = c_Enum_Oproduct(_u15097, _u15098, c_Enum_Oenum__class_Oenum(_u15097), c_Enum_Oenum__class_Oenum(_u15098))) )).
% 39.92/40.15 cnf(matrix-6463, plain, ( ~class_Enum_Oenum(_u15099) | ( c_Enum_Oenum__class_Oenum(tc_Option_Ooption(_u15099)) = hAPP(hAPP(c_List_Olist_OCons(tc_Option_Ooption(_u15099)), c_Option_Ooption_ONone(_u15099)), hAPP(hAPP(c_List_Omap(_u15099, tc_Option_Ooption(_u15099)), c_Option_Ooption_OSome(_u15099)), c_Enum_Oenum__class_Oenum(_u15099)))) )).
% 39.92/40.15 cnf(matrix-6464, plain, ( ~class_Enum_Oenum(_u15100) | hBOOL(hAPP(c_List_Odistinct(_u15100), c_Enum_Oenum__class_Oenum(_u15100))) )).
% 39.92/40.15 cnf(matrix-6465, plain, ( ~class_Enum_Oenum(_u15101) | hBOOL(hAPP(hAPP(c_member(_u15101), _u15102), hAPP(c_List_Oset(_u15101), c_Enum_Oenum__class_Oenum(_u15101)))) )).
% 39.92/40.15 cnf(matrix-6466, plain, ( ~class_Enum_Oenum(_u15103) | ( c_Orderings_Otop__class_Otop(tc_fun(_u15103, tc_HOL_Obool)) = hAPP(c_List_Oset(_u15103), c_Enum_Oenum__class_Oenum(_u15103))) )).
% 39.92/40.15 cnf(matrix-6467, plain, ( ~class_Enum_Oenum(_u15104) | ( hAPP(c_List_Oset(_u15104), c_Enum_Oenum__class_Oenum(_u15104)) = c_Orderings_Otop__class_Otop(tc_fun(_u15104, tc_HOL_Obool))) )).
% 39.92/40.15 cnf(matrix-6468, plain, ( ~class_Enum_Oenum(_u15105) | ~class_HOL_Oequal(_u15105) | ~class_Enum_Oenum(_u15106) | ( c_Enum_Oenum__class_Oenum(tc_fun(_u15105, _u15106)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u15106), tc_fun(_u15105, _u15106)), hAPP(hAPP(c_COMBB(tc_fun(_u15105, tc_Option_Ooption(_u15106)), tc_fun(_u15105, _u15106), tc_List_Olist(_u15106)), c_Fun_Ocomp(tc_Option_Ooption(_u15106), _u15106, _u15105, c_Option_Othe(_u15106))), hAPP(hAPP(c_COMBB(tc_List_Olist(tc_prod(_u15105, _u15106)), tc_fun(_u15105, tc_Option_Ooption(_u15106)), tc_List_Olist(_u15106)), c_Map_Omap__of(_u15105, _u15106)), hAPP(c_List_Ozip(_u15105, _u15106), c_Enum_Oenum__class_Oenum(_u15105))))), c_Enum_On__lists(_u15106, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15105)), c_Enum_Oenum__class_Oenum(_u15105)), c_Enum_Oenum__class_Oenum(_u15106)))) )).
% 39.92/40.15 cnf(matrix-6469, plain, ( ~class_Enum_Oenum(_u15107) | ~class_Enum_Oenum(_u15108) | ( c_Enum_Oenum__class_Oenum(tc_fun(_u15107, _u15108)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u15108), tc_fun(_u15107, _u15108)), hAPP(hAPP(c_COMBB(tc_fun(_u15107, tc_Option_Ooption(_u15108)), tc_fun(_u15107, _u15108), tc_List_Olist(_u15108)), c_Fun_Ocomp(tc_Option_Ooption(_u15108), _u15108, _u15107, c_Option_Othe(_u15108))), hAPP(hAPP(c_COMBB(tc_List_Olist(tc_prod(_u15107, _u15108)), tc_fun(_u15107, tc_Option_Ooption(_u15108)), tc_List_Olist(_u15108)), c_Map_Omap__of(_u15107, _u15108)), hAPP(c_List_Ozip(_u15107, _u15108), c_Enum_Oenum__class_Oenum(_u15107))))), c_Enum_On__lists(_u15108, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15107)), c_Enum_Oenum__class_Oenum(_u15107)), c_Enum_Oenum__class_Oenum(_u15108)))) )).
% 39.92/40.15 cnf(matrix-6470, plain, ( ~class_Enum_Oenum(_u15109) | ~class_Enum_Oenum(_u15110) | ~class_HOL_Oequal(_u15110) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_fun(_u15110, _u15109)), _u15111)) | c_Enum_Oall__n__lists(_u15109, hAPP(hAPP(c_COMBB(tc_fun(_u15110, _u15109), tc_HOL_Obool, tc_List_Olist(_u15109)), _u15111), hAPP(hAPP(c_COMBB(tc_fun(_u15110, tc_Option_Ooption(_u15109)), tc_fun(_u15110, _u15109), tc_List_Olist(_u15109)), c_Fun_Ocomp(tc_Option_Ooption(_u15109), _u15109, _u15110, c_Option_Othe(_u15109))), hAPP(hAPP(c_COMBB(tc_List_Olist(tc_prod(_u15110, _u15109)), tc_fun(_u15110, tc_Option_Ooption(_u15109)), tc_List_Olist(_u15109)), c_Map_Omap__of(_u15110, _u15109)), hAPP(c_List_Ozip(_u15110, _u15109), c_Enum_Oenum__class_Oenum(_u15110))))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15110)), c_Enum_Oenum__class_Oenum(_u15110))) )).
% 39.92/40.15 cnf(matrix-6471, plain, ( ~class_Enum_Oenum(_u15109) | ~class_Enum_Oenum(_u15110) | ~class_HOL_Oequal(_u15110) | ~c_Enum_Oall__n__lists(_u15109, hAPP(hAPP(c_COMBB(tc_fun(_u15110, _u15109), tc_HOL_Obool, tc_List_Olist(_u15109)), _u15111), hAPP(hAPP(c_COMBB(tc_fun(_u15110, tc_Option_Ooption(_u15109)), tc_fun(_u15110, _u15109), tc_List_Olist(_u15109)), c_Fun_Ocomp(tc_Option_Ooption(_u15109), _u15109, _u15110, c_Option_Othe(_u15109))), hAPP(hAPP(c_COMBB(tc_List_Olist(tc_prod(_u15110, _u15109)), tc_fun(_u15110, tc_Option_Ooption(_u15109)), tc_List_Olist(_u15109)), c_Map_Omap__of(_u15110, _u15109)), hAPP(c_List_Ozip(_u15110, _u15109), c_Enum_Oenum__class_Oenum(_u15110))))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15110)), c_Enum_Oenum__class_Oenum(_u15110))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_fun(_u15110, _u15109)), _u15111)) )).
% 39.92/40.15 cnf(matrix-6472, plain, ( ~class_Enum_Oenum(_u15112) | ~class_Enum_Oenum(_u15113) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_fun(_u15113, _u15112)), _u15114)) | c_Enum_Oall__n__lists(_u15112, hAPP(hAPP(c_COMBB(tc_fun(_u15113, _u15112), tc_HOL_Obool, tc_List_Olist(_u15112)), _u15114), hAPP(hAPP(c_COMBB(tc_fun(_u15113, tc_Option_Ooption(_u15112)), tc_fun(_u15113, _u15112), tc_List_Olist(_u15112)), c_Fun_Ocomp(tc_Option_Ooption(_u15112), _u15112, _u15113, c_Option_Othe(_u15112))), hAPP(hAPP(c_COMBB(tc_List_Olist(tc_prod(_u15113, _u15112)), tc_fun(_u15113, tc_Option_Ooption(_u15112)), tc_List_Olist(_u15112)), c_Map_Omap__of(_u15113, _u15112)), hAPP(c_List_Ozip(_u15113, _u15112), c_Enum_Oenum__class_Oenum(_u15113))))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15113)), c_Enum_Oenum__class_Oenum(_u15113))) )).
% 39.92/40.15 cnf(matrix-6473, plain, ( ~class_Enum_Oenum(_u15112) | ~class_Enum_Oenum(_u15113) | ~c_Enum_Oall__n__lists(_u15112, hAPP(hAPP(c_COMBB(tc_fun(_u15113, _u15112), tc_HOL_Obool, tc_List_Olist(_u15112)), _u15114), hAPP(hAPP(c_COMBB(tc_fun(_u15113, tc_Option_Ooption(_u15112)), tc_fun(_u15113, _u15112), tc_List_Olist(_u15112)), c_Fun_Ocomp(tc_Option_Ooption(_u15112), _u15112, _u15113, c_Option_Othe(_u15112))), hAPP(hAPP(c_COMBB(tc_List_Olist(tc_prod(_u15113, _u15112)), tc_fun(_u15113, tc_Option_Ooption(_u15112)), tc_List_Olist(_u15112)), c_Map_Omap__of(_u15113, _u15112)), hAPP(c_List_Ozip(_u15113, _u15112), c_Enum_Oenum__class_Oenum(_u15113))))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15113)), c_Enum_Oenum__class_Oenum(_u15113))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_fun(_u15113, _u15112)), _u15114)) )).
% 39.92/40.15 cnf(matrix-6474, plain, ( ~class_Enum_Oenum(_u15117) | ~c_Enum_Oall__n__lists(_u15117, _u15118, _u15119) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15117)), _u15115), hAPP(c_List_Oset(tc_List_Olist(_u15117)), c_Enum_On__lists(_u15117, _u15119, c_Enum_Oenum__class_Oenum(_u15117))))) | hBOOL(hAPP(_u15118, _u15115)) )).
% 39.92/40.15 cnf(matrix-6475, plain, ( ~class_Enum_Oenum(_u15117) | c_Enum_Oall__n__lists(_u15117, _u15118, _u15119) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15117)), skolem355(_u15119, _u15118, _u15117)), hAPP(c_List_Oset(tc_List_Olist(_u15117)), c_Enum_On__lists(_u15117, _u15119, c_Enum_Oenum__class_Oenum(_u15117))))) )).
% 39.92/40.15 cnf(matrix-6476, plain, ( ~class_Enum_Oenum(_u15117) | c_Enum_Oall__n__lists(_u15117, _u15118, _u15119) | ~hBOOL(hAPP(_u15118, skolem355(_u15119, _u15118, _u15117))) )).
% 39.92/40.15 cnf(matrix-6477, plain, ( ~class_Enum_Oenum(_u15120) | ~class_Enum_Oenum(_u15121) | ~class_HOL_Oequal(_u15121) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_fun(_u15121, _u15120)), _u15122)) | c_Enum_Oex__n__lists(_u15120, hAPP(hAPP(c_COMBB(tc_fun(_u15121, _u15120), tc_HOL_Obool, tc_List_Olist(_u15120)), _u15122), hAPP(hAPP(c_COMBB(tc_fun(_u15121, tc_Option_Ooption(_u15120)), tc_fun(_u15121, _u15120), tc_List_Olist(_u15120)), c_Fun_Ocomp(tc_Option_Ooption(_u15120), _u15120, _u15121, c_Option_Othe(_u15120))), hAPP(hAPP(c_COMBB(tc_List_Olist(tc_prod(_u15121, _u15120)), tc_fun(_u15121, tc_Option_Ooption(_u15120)), tc_List_Olist(_u15120)), c_Map_Omap__of(_u15121, _u15120)), hAPP(c_List_Ozip(_u15121, _u15120), c_Enum_Oenum__class_Oenum(_u15121))))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15121)), c_Enum_Oenum__class_Oenum(_u15121))) )).
% 39.92/40.15 cnf(matrix-6478, plain, ( ~class_Enum_Oenum(_u15120) | ~class_Enum_Oenum(_u15121) | ~class_HOL_Oequal(_u15121) | ~c_Enum_Oex__n__lists(_u15120, hAPP(hAPP(c_COMBB(tc_fun(_u15121, _u15120), tc_HOL_Obool, tc_List_Olist(_u15120)), _u15122), hAPP(hAPP(c_COMBB(tc_fun(_u15121, tc_Option_Ooption(_u15120)), tc_fun(_u15121, _u15120), tc_List_Olist(_u15120)), c_Fun_Ocomp(tc_Option_Ooption(_u15120), _u15120, _u15121, c_Option_Othe(_u15120))), hAPP(hAPP(c_COMBB(tc_List_Olist(tc_prod(_u15121, _u15120)), tc_fun(_u15121, tc_Option_Ooption(_u15120)), tc_List_Olist(_u15120)), c_Map_Omap__of(_u15121, _u15120)), hAPP(c_List_Ozip(_u15121, _u15120), c_Enum_Oenum__class_Oenum(_u15121))))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15121)), c_Enum_Oenum__class_Oenum(_u15121))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_fun(_u15121, _u15120)), _u15122)) )).
% 39.92/40.15 cnf(matrix-6479, plain, ( ~class_Enum_Oenum(_u15123) | ~class_Enum_Oenum(_u15124) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_fun(_u15124, _u15123)), _u15125)) | c_Enum_Oex__n__lists(_u15123, hAPP(hAPP(c_COMBB(tc_fun(_u15124, _u15123), tc_HOL_Obool, tc_List_Olist(_u15123)), _u15125), hAPP(hAPP(c_COMBB(tc_fun(_u15124, tc_Option_Ooption(_u15123)), tc_fun(_u15124, _u15123), tc_List_Olist(_u15123)), c_Fun_Ocomp(tc_Option_Ooption(_u15123), _u15123, _u15124, c_Option_Othe(_u15123))), hAPP(hAPP(c_COMBB(tc_List_Olist(tc_prod(_u15124, _u15123)), tc_fun(_u15124, tc_Option_Ooption(_u15123)), tc_List_Olist(_u15123)), c_Map_Omap__of(_u15124, _u15123)), hAPP(c_List_Ozip(_u15124, _u15123), c_Enum_Oenum__class_Oenum(_u15124))))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15124)), c_Enum_Oenum__class_Oenum(_u15124))) )).
% 39.92/40.15 cnf(matrix-6480, plain, ( ~class_Enum_Oenum(_u15123) | ~class_Enum_Oenum(_u15124) | ~c_Enum_Oex__n__lists(_u15123, hAPP(hAPP(c_COMBB(tc_fun(_u15124, _u15123), tc_HOL_Obool, tc_List_Olist(_u15123)), _u15125), hAPP(hAPP(c_COMBB(tc_fun(_u15124, tc_Option_Ooption(_u15123)), tc_fun(_u15124, _u15123), tc_List_Olist(_u15123)), c_Fun_Ocomp(tc_Option_Ooption(_u15123), _u15123, _u15124, c_Option_Othe(_u15123))), hAPP(hAPP(c_COMBB(tc_List_Olist(tc_prod(_u15124, _u15123)), tc_fun(_u15124, tc_Option_Ooption(_u15123)), tc_List_Olist(_u15123)), c_Map_Omap__of(_u15124, _u15123)), hAPP(c_List_Ozip(_u15124, _u15123), c_Enum_Oenum__class_Oenum(_u15124))))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15124)), c_Enum_Oenum__class_Oenum(_u15124))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_fun(_u15124, _u15123)), _u15125)) )).
% 39.92/40.15 cnf(matrix-6481, plain, ( ~class_Enum_Oenum(_u15128) | ~c_Enum_Oex__n__lists(_u15128, _u15129, _u15130) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15128)), skolem356(_u15130, _u15129, _u15128)), hAPP(c_List_Oset(tc_List_Olist(_u15128)), c_Enum_On__lists(_u15128, _u15130, c_Enum_Oenum__class_Oenum(_u15128))))) )).
% 39.92/40.15 cnf(matrix-6482, plain, ( ~class_Enum_Oenum(_u15128) | ~c_Enum_Oex__n__lists(_u15128, _u15129, _u15130) | hBOOL(hAPP(_u15129, skolem356(_u15130, _u15129, _u15128))) )).
% 39.92/40.15 cnf(matrix-6483, plain, ( ~class_Enum_Oenum(_u15128) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15128)), _u15127), hAPP(c_List_Oset(tc_List_Olist(_u15128)), c_Enum_On__lists(_u15128, _u15130, c_Enum_Oenum__class_Oenum(_u15128))))) | ~hBOOL(hAPP(_u15129, _u15127)) | c_Enum_Oex__n__lists(_u15128, _u15129, _u15130) )).
% 39.92/40.15 cnf(matrix-6484, plain, ( ( hAPP(c_List_Oset(tc_prod(_u15131, _u15132)), hAPP(hAPP(c_List_Ozip(_u15131, _u15132), _u15133), _u15134)) = hAPP(c_Set_OCollect(tc_prod(_u15131, _u15132)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool, tc_prod(_u15131, _u15132)), c_HOL_OEx(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(tc_prod(_u15131, _u15132), 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(_u15131, _u15132)), 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(_u15131, _u15132)), 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(_u15131, _u15132), tc_fun(tc_Nat_Onat, tc_prod(_u15131, _u15132)), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u15131, _u15132), tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, tc_prod(_u15131, _u15132)), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_prod(_u15131, _u15132)), c_COMBB(tc_prod(_u15131, _u15132), tc_HOL_Obool, tc_Nat_Onat)), c_fequal)), hAPP(hAPP(c_COMBS(tc_Nat_Onat, _u15132, tc_prod(_u15131, _u15132)), hAPP(hAPP(c_COMBB(_u15131, tc_fun(_u15132, tc_prod(_u15131, _u15132)), tc_Nat_Onat), c_Product__Type_OPair(_u15131, _u15132)), hAPP(c_List_Onth(_u15131), _u15133))), hAPP(c_List_Onth(_u15132), _u15134)))))), 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(_u15131)), _u15133)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15132)), _u15134))))))) )).
% 39.92/40.15 cnf(matrix-6485, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15135, _u15135), tc_HOL_Obool)), _u15136), hAPP(hAPP(c_Product__Type_OSigma(_u15135, _u15135), _u15137), hAPP(c_COMBK(tc_fun(_u15135, tc_HOL_Obool), _u15135), _u15137)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u15135), tc_List_Olist(_u15135)), tc_HOL_Obool)), c_List_Olistrel(_u15135, _u15136)), hAPP(hAPP(c_Product__Type_OSigma(tc_List_Olist(_u15135), tc_List_Olist(_u15135)), c_List_Olists(_u15135, _u15137)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u15135), tc_HOL_Obool), tc_List_Olist(_u15135)), c_List_Olists(_u15135, _u15137))))) )).
% 39.92/40.15 cnf(matrix-6486, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15138), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15139)), _u15140))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15138), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15141)), _u15142))) | ( hAPP(hAPP(c_List_Onth(tc_prod(_u15139, _u15141)), hAPP(hAPP(c_List_Ozip(_u15139, _u15141), _u15140), _u15142)), _u15138) = hAPP(hAPP(c_Product__Type_OPair(_u15139, _u15141), hAPP(hAPP(c_List_Onth(_u15139), _u15140), _u15138)), hAPP(hAPP(c_List_Onth(_u15141), _u15142), _u15138))) )).
% 39.92/40.15 cnf(matrix-6487, plain, ( ( _u15148 != _u15150) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15152)), _u15148) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15152)), _u15150)) )).
% 39.92/40.15 cnf(matrix-6488, plain, ( ( _u15148 != _u15150) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15143), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15152)), _u15148))) | ( hAPP(hAPP(c_List_Onth(_u15152), _u15148), _u15143) = hAPP(hAPP(c_List_Onth(_u15152), _u15150), _u15143)) )).
% 39.92/40.15 cnf(matrix-6489, plain, ( ( _u15149 = _u15151) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15153)), _u15149) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15153)), _u15151)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem357(_u15153, _u15151, _u15149)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15153)), _u15149))) )).
% 39.92/40.15 cnf(matrix-6490, plain, ( ( _u15149 = _u15151) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15153)), _u15149) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15153)), _u15151)) | ( hAPP(hAPP(c_List_Onth(_u15153), _u15149), skolem357(_u15153, _u15151, _u15149)) != hAPP(hAPP(c_List_Onth(_u15153), _u15151), skolem357(_u15153, _u15151, _u15149))) )).
% 39.92/40.15 cnf(matrix-6491, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15154, tc_HOL_Obool)), _u15155), _u15156)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(_u15154), tc_HOL_Obool)), c_List_Olists(_u15154, _u15155)), c_List_Olists(_u15154, _u15156))) )).
% 39.92/40.15 cnf(matrix-6492, plain, ( ( hAPP(hAPP(c_List_Onth(_u15157), hAPP(hAPP(c_List_Olist_OCons(_u15157), _u15158), _u15159)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u15158) )).
% 39.92/40.15 cnf(matrix-6493, plain, ( ( hAPP(hAPP(c_List_Onth(_u15160), hAPP(hAPP(c_List_Olist_OCons(_u15160), _u15161), _u15162)), hAPP(c_Nat_OSuc, _u15163)) = hAPP(hAPP(c_List_Onth(_u15160), _u15162), _u15163)) )).
% 39.92/40.15 cnf(matrix-6494, plain, ( ( hAPP(hAPP(c_List_Onth(_u15164), hAPP(hAPP(c_List_Olist_OCons(_u15164), _u15165), _u15166)), _u15167) = c_Nat_Onat_Onat__case(_u15164, _u15165, hAPP(c_List_Onth(_u15164), _u15166), _u15167)) )).
% 39.92/40.15 cnf(matrix-6495, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15169), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15175)), _u15177))) | hBOOL(hAPP(_u15179, hAPP(hAPP(c_List_Onth(_u15175), _u15177), _u15169))) | hBOOL(hAPP(hAPP(c_member(_u15175), skolem358(_u15179, _u15177, _u15175)), hAPP(c_List_Oset(_u15175), _u15177))) )).
% 39.92/40.15 cnf(matrix-6496, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15169), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15175)), _u15177))) | hBOOL(hAPP(_u15179, hAPP(hAPP(c_List_Onth(_u15175), _u15177), _u15169))) | ~hBOOL(hAPP(_u15179, skolem358(_u15179, _u15177, _u15175))) )).
% 39.92/40.15 cnf(matrix-6497, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15176), _u15171), hAPP(c_List_Oset(_u15176), _u15178))) | hBOOL(hAPP(_u15180, _u15171)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem359(_u15180, _u15178, _u15176)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15176)), _u15178))) )).
% 39.92/40.15 cnf(matrix-6498, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15176), _u15171), hAPP(c_List_Oset(_u15176), _u15178))) | hBOOL(hAPP(_u15180, _u15171)) | ~hBOOL(hAPP(_u15180, hAPP(hAPP(c_List_Onth(_u15176), _u15178), skolem359(_u15180, _u15178, _u15176)))) )).
% 39.92/40.15 cnf(matrix-6499, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15181), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15182)), _u15183))) | ( hAPP(hAPP(c_List_Onth(_u15184), hAPP(hAPP(c_List_Omap(_u15182, _u15184), _u15185), _u15183)), _u15181) = hAPP(_u15185, hAPP(hAPP(c_List_Onth(_u15182), _u15183), _u15181))) )).
% 39.92/40.15 cnf(matrix-6500, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u15186), _u15187)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15188), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15186)), _u15187))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15189), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15186)), _u15187))) | ( hAPP(hAPP(c_List_Onth(_u15186), _u15187), _u15188) != hAPP(hAPP(c_List_Onth(_u15186), _u15187), _u15189)) | ( _u15188 = _u15189) )).
% 39.92/40.15 cnf(matrix-6501, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u15186), _u15187)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15188), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15186)), _u15187))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15189), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15186)), _u15187))) | ( _u15188 != _u15189) | ( hAPP(hAPP(c_List_Onth(_u15186), _u15187), _u15188) = hAPP(hAPP(c_List_Onth(_u15186), _u15187), _u15189)) )).
% 39.92/40.15 cnf(matrix-6502, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u15196), _u15198)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15191), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15196)), _u15198))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15190), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15196)), _u15198))) | ( _u15191 = _u15190) | ( hAPP(hAPP(c_List_Onth(_u15196), _u15198), _u15191) != hAPP(hAPP(c_List_Onth(_u15196), _u15198), _u15190)) )).
% 39.92/40.15 cnf(matrix-6503, plain, ( hBOOL(hAPP(c_List_Odistinct(_u15197), _u15199)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem360(_u15199, _u15197)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15197)), _u15199))) )).
% 39.92/40.15 cnf(matrix-6504, plain, ( hBOOL(hAPP(c_List_Odistinct(_u15197), _u15199)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem361(_u15199, _u15197)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15197)), _u15199))) )).
% 39.92/40.15 cnf(matrix-6505, plain, ( hBOOL(hAPP(c_List_Odistinct(_u15197), _u15199)) | ( skolem360(_u15199, _u15197) != skolem361(_u15199, _u15197)) )).
% 39.92/40.15 cnf(matrix-6506, plain, ( hBOOL(hAPP(c_List_Odistinct(_u15197), _u15199)) | ( hAPP(hAPP(c_List_Onth(_u15197), _u15199), skolem360(_u15199, _u15197)) = hAPP(hAPP(c_List_Onth(_u15197), _u15199), skolem361(_u15199, _u15197))) )).
% 39.92/40.15 cnf(matrix-6507, plain, ( ( c_List_Olists(_u15200, c_Orderings_Otop__class_Otop(tc_fun(_u15200, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u15200), tc_HOL_Obool))) )).
% 39.92/40.15 cnf(matrix-6508, plain, ( ~c_Equiv__Relations_Oequiv(_u15201, _u15202, _u15203) | c_Equiv__Relations_Oequiv(tc_List_Olist(_u15201), c_List_Olists(_u15201, _u15202), c_List_Olistrel(_u15201, _u15203)) )).
% 39.92/40.15 cnf(matrix-6509, plain, ( ~c_Relation_Orefl__on(_u15204, _u15205, _u15206) | c_Relation_Orefl__on(tc_List_Olist(_u15204), c_List_Olists(_u15204, _u15205), c_List_Olistrel(_u15204, _u15206)) )).
% 39.92/40.15 cnf(matrix-6510, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15212), _u15214), hAPP(c_List_Oset(_u15212), _u15216))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem362(_u15216, _u15214, _u15212)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15212)), _u15216))) )).
% 39.92/40.15 cnf(matrix-6511, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15212), _u15214), hAPP(c_List_Oset(_u15212), _u15216))) | ( hAPP(hAPP(c_List_Onth(_u15212), _u15216), skolem362(_u15216, _u15214, _u15212)) = _u15214) )).
% 39.92/40.15 cnf(matrix-6512, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15208), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15213)), _u15217))) | ( hAPP(hAPP(c_List_Onth(_u15213), _u15217), _u15208) != _u15215) | hBOOL(hAPP(hAPP(c_member(_u15213), _u15215), hAPP(c_List_Oset(_u15213), _u15217))) )).
% 39.92/40.15 cnf(matrix-6513, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15218), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15219)), _u15220))) | hBOOL(hAPP(hAPP(c_member(_u15219), hAPP(hAPP(c_List_Onth(_u15219), _u15220), _u15218)), hAPP(c_List_Oset(_u15219), _u15220))) )).
% 39.92/40.15 cnf(matrix-6514, plain, ( ( _u15225 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u15227), hAPP(hAPP(c_List_Olist_OCons(_u15227), _u15229), _u15231)), _u15225) = _u15229) )).
% 39.92/40.15 cnf(matrix-6515, plain, ( ( _u15226 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u15228), hAPP(hAPP(c_List_Olist_OCons(_u15228), _u15230), _u15232)), _u15226) = hAPP(hAPP(c_List_Onth(_u15228), _u15232), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u15226), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 39.92/40.15 cnf(matrix-6516, plain, ( ( hAPP(c_List_Oset(_u15233), _u15234) = hAPP(c_Set_OCollect(_u15233), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool, _u15233), c_HOL_OEx(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(_u15233, 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)), _u15233), 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)), _u15233), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), hAPP(hAPP(c_COMBC(_u15233, tc_fun(tc_Nat_Onat, _u15233), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15233, tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, _u15233), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u15233), c_COMBB(_u15233, tc_HOL_Obool, tc_Nat_Onat)), c_fequal)), hAPP(c_List_Onth(_u15233), _u15234))))), 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(_u15233)), _u15234)))))) )).
% 39.92/40.15 cnf(matrix-6517, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15239)), hAPP(hAPP(c_List_Olist_OCons(_u15239), _u15241), _u15243)), c_List_Olists(_u15239, _u15245))) | hBOOL(hAPP(hAPP(c_member(_u15239), _u15241), _u15245)) )).
% 39.92/40.15 cnf(matrix-6518, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15239)), hAPP(hAPP(c_List_Olist_OCons(_u15239), _u15241), _u15243)), c_List_Olists(_u15239, _u15245))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15239)), _u15243), c_List_Olists(_u15239, _u15245))) )).
% 39.92/40.15 cnf(matrix-6519, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15240), _u15242), _u15246)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15240)), _u15244), c_List_Olists(_u15240, _u15246))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15240)), hAPP(hAPP(c_List_Olist_OCons(_u15240), _u15242), _u15244)), c_List_Olists(_u15240, _u15246))) )).
% 39.92/40.15 cnf(matrix-6520, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15252)), _u15254), c_List_Olists(_u15252, _u15256))) | ~hBOOL(hAPP(hAPP(c_member(_u15252), _u15247), hAPP(c_List_Oset(_u15252), _u15254))) | hBOOL(hAPP(hAPP(c_member(_u15252), _u15247), _u15256)) )).
% 39.92/40.15 cnf(matrix-6521, plain, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15253)), _u15255), c_List_Olists(_u15253, _u15257))) | hBOOL(hAPP(hAPP(c_member(_u15253), skolem363(_u15257, _u15255, _u15253)), hAPP(c_List_Oset(_u15253), _u15255))) )).
% 39.92/40.15 cnf(matrix-6522, plain, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15253)), _u15255), c_List_Olists(_u15253, _u15257))) | ~hBOOL(hAPP(hAPP(c_member(_u15253), skolem363(_u15257, _u15255, _u15253)), _u15257)) )).
% 39.92/40.15 cnf(matrix-6523, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15262) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u15264), hAPP(hAPP(c_List_Olist_OCons(_u15264), _u15266), _u15268)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15262)) = _u15266) )).
% 39.92/40.15 cnf(matrix-6524, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15263) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u15265), hAPP(hAPP(c_List_Olist_OCons(_u15265), _u15267), _u15269)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15263)) = hAPP(hAPP(c_List_Onth(_u15265), _u15269), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15263)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 39.92/40.15 cnf(matrix-6525, plain, ( ( c_List_Olists(_u15270, _u15271) = hAPP(c_Set_OCollect(tc_List_Olist(_u15270)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15270), tc_fun(_u15270, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u15270, tc_HOL_Obool), tc_fun(tc_fun(_u15270, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u15270)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u15270, tc_HOL_Obool))), c_List_Oset(_u15270))), _u15271))) )).
% 39.92/40.15 cnf(matrix-6526, plain, ( ( hAPP(c_List_Oset(_u15272), c_List_Osublist(_u15272, _u15273, _u15274)) = hAPP(c_Set_OCollect(_u15272), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool, _u15272), c_HOL_OEx(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(_u15272, 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)), _u15272), 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)), _u15272), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), hAPP(hAPP(c_COMBC(_u15272, tc_fun(tc_Nat_Onat, _u15272), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15272, tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, _u15272), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u15272), c_COMBB(_u15272, tc_HOL_Obool, tc_Nat_Onat)), c_fequal)), hAPP(c_List_Onth(_u15272), _u15273))))), 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(_u15272)), _u15273)))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool), c_member(tc_Nat_Onat)), _u15274)))))) )).
% 39.92/40.15 cnf(matrix-6527, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15281), tc_List_Olist(_u15281))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15281), tc_List_Olist(_u15281)), _u15283), _u15285)), c_List_Olistrel(_u15281, _u15287))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15281)), _u15283) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15281)), _u15285)) )).
% 39.92/40.15 cnf(matrix-6528, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15281), tc_List_Olist(_u15281))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15281), tc_List_Olist(_u15281)), _u15283), _u15285)), c_List_Olistrel(_u15281, _u15287))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15275), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15281)), _u15283))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15281, _u15281)), hAPP(hAPP(c_Product__Type_OPair(_u15281, _u15281), hAPP(hAPP(c_List_Onth(_u15281), _u15283), _u15275)), hAPP(hAPP(c_List_Onth(_u15281), _u15285), _u15275))), _u15287)) )).
% 39.92/40.15 cnf(matrix-6529, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15282), tc_List_Olist(_u15282))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15282), tc_List_Olist(_u15282)), _u15284), _u15286)), c_List_Olistrel(_u15282, _u15288))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15282)), _u15284) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15282)), _u15286)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem364(_u15288, _u15286, _u15284, _u15282)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15282)), _u15284))) )).
% 39.92/40.15 cnf(matrix-6530, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15282), tc_List_Olist(_u15282))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15282), tc_List_Olist(_u15282)), _u15284), _u15286)), c_List_Olistrel(_u15282, _u15288))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15282)), _u15284) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15282)), _u15286)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15282, _u15282)), hAPP(hAPP(c_Product__Type_OPair(_u15282, _u15282), hAPP(hAPP(c_List_Onth(_u15282), _u15284), skolem364(_u15288, _u15286, _u15284, _u15282))), hAPP(hAPP(c_List_Onth(_u15282), _u15286), skolem364(_u15288, _u15286, _u15284, _u15282)))), _u15288)) )).
% 39.92/40.15 cnf(matrix-6531, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15295), tc_List_Olist(_u15295))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15295), tc_List_Olist(_u15295)), _u15297), _u15299)), c_List_Olexord(_u15295, _u15301))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15295)), _u15297)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15295)), _u15299))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem365(_u15301, _u15299, _u15297, _u15295)), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15295)), _u15297)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15295)), _u15299)))) )).
% 39.92/40.15 cnf(matrix-6532, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15295), tc_List_Olist(_u15295))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15295), tc_List_Olist(_u15295)), _u15297), _u15299)), c_List_Olexord(_u15295, _u15301))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15295)), _u15297)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15295)), _u15299))) | ( hAPP(hAPP(c_List_Otake(_u15295), skolem365(_u15301, _u15299, _u15297, _u15295)), _u15297) = hAPP(hAPP(c_List_Otake(_u15295), skolem365(_u15301, _u15299, _u15297, _u15295)), _u15299)) )).
% 39.92/40.15 cnf(matrix-6533, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15295), tc_List_Olist(_u15295))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15295), tc_List_Olist(_u15295)), _u15297), _u15299)), c_List_Olexord(_u15295, _u15301))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15295)), _u15297)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15295)), _u15299))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15295, _u15295)), hAPP(hAPP(c_Product__Type_OPair(_u15295, _u15295), hAPP(hAPP(c_List_Onth(_u15295), _u15297), skolem365(_u15301, _u15299, _u15297, _u15295))), hAPP(hAPP(c_List_Onth(_u15295), _u15299), skolem365(_u15301, _u15299, _u15297, _u15295)))), _u15301)) )).
% 39.92/40.15 cnf(matrix-6534, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15295), tc_List_Olist(_u15295))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15295), tc_List_Olist(_u15295)), _u15297), _u15299)), c_List_Olexord(_u15295, _u15301))) | ( hAPP(hAPP(c_List_Otake(_u15295), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15295)), _u15297)), _u15299) = _u15297) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem365(_u15301, _u15299, _u15297, _u15295)), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15295)), _u15297)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15295)), _u15299)))) )).
% 39.92/40.15 cnf(matrix-6535, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15295), tc_List_Olist(_u15295))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15295), tc_List_Olist(_u15295)), _u15297), _u15299)), c_List_Olexord(_u15295, _u15301))) | ( hAPP(hAPP(c_List_Otake(_u15295), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15295)), _u15297)), _u15299) = _u15297) | ( hAPP(hAPP(c_List_Otake(_u15295), skolem365(_u15301, _u15299, _u15297, _u15295)), _u15297) = hAPP(hAPP(c_List_Otake(_u15295), skolem365(_u15301, _u15299, _u15297, _u15295)), _u15299)) )).
% 39.92/40.15 cnf(matrix-6536, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15295), tc_List_Olist(_u15295))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15295), tc_List_Olist(_u15295)), _u15297), _u15299)), c_List_Olexord(_u15295, _u15301))) | ( hAPP(hAPP(c_List_Otake(_u15295), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15295)), _u15297)), _u15299) = _u15297) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15295, _u15295)), hAPP(hAPP(c_Product__Type_OPair(_u15295, _u15295), hAPP(hAPP(c_List_Onth(_u15295), _u15297), skolem365(_u15301, _u15299, _u15297, _u15295))), hAPP(hAPP(c_List_Onth(_u15295), _u15299), skolem365(_u15301, _u15299, _u15297, _u15295)))), _u15301)) )).
% 39.92/40.15 cnf(matrix-6537, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15296), tc_List_Olist(_u15296))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15296), tc_List_Olist(_u15296)), _u15298), _u15300)), c_List_Olexord(_u15296, _u15302))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15296)), _u15298)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15296)), _u15300))) | ( hAPP(hAPP(c_List_Otake(_u15296), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15296)), _u15298)), _u15300) != _u15298) )).
% 39.92/40.15 cnf(matrix-6538, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15296), tc_List_Olist(_u15296))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15296), tc_List_Olist(_u15296)), _u15298), _u15300)), c_List_Olexord(_u15296, _u15302))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15290), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15296)), _u15298)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15296)), _u15300)))) | ( hAPP(hAPP(c_List_Otake(_u15296), _u15290), _u15298) != hAPP(hAPP(c_List_Otake(_u15296), _u15290), _u15300)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15296, _u15296)), hAPP(hAPP(c_Product__Type_OPair(_u15296, _u15296), hAPP(hAPP(c_List_Onth(_u15296), _u15298), _u15290)), hAPP(hAPP(c_List_Onth(_u15296), _u15300), _u15290))), _u15302)) )).
% 39.92/40.15 cnf(matrix-6539, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u15303), _u15304)) | hBOOL(hAPP(hAPP(c_member(_u15303), _u15305), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u15303, tc_HOL_Obool)), hAPP(c_List_Oset(_u15303), _u15304)), hAPP(hAPP(c_Set_Oinsert(_u15303), hAPP(hAPP(c_List_Onth(_u15303), _u15304), _u15306)), c_Orderings_Obot__class_Obot(tc_fun(_u15303, tc_HOL_Obool)))))) | hBOOL(hAPP(c_List_Odistinct(_u15303), hAPP(hAPP(c_List_Olist__update(_u15303, _u15304), _u15306), _u15305))) )).
% 39.92/40.15 cnf(matrix-6540, plain, ( ( _u15307 = _u15308) | ( hAPP(hAPP(c_List_Onth(_u15309), hAPP(hAPP(c_List_Olist__update(_u15309, _u15310), _u15307), _u15311)), _u15308) = hAPP(hAPP(c_List_Onth(_u15309), _u15310), _u15308)) )).
% 39.92/40.15 cnf(matrix-6541, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u15312, _u15313), _u15314), hAPP(hAPP(c_List_Onth(_u15312), _u15313), _u15314)) = _u15313) )).
% 39.92/40.15 cnf(matrix-6542, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15315), _u15316)) | ( hAPP(hAPP(c_List_Onth(_u15317), hAPP(hAPP(c_List_Otake(_u15317), _u15316), _u15318)), _u15315) = hAPP(hAPP(c_List_Onth(_u15317), _u15318), _u15315)) )).
% 39.92/40.15 cnf(matrix-6543, plain, ( ( hAPP(hAPP(c_List_Omap(_u15319, _u15320), _u15321), hAPP(hAPP(c_List_Olist__update(_u15319, _u15322), _u15323), _u15324)) = hAPP(hAPP(c_List_Olist__update(_u15320, hAPP(hAPP(c_List_Omap(_u15319, _u15320), _u15321), _u15322)), _u15323), hAPP(_u15321, _u15324))) )).
% 39.92/40.15 cnf(matrix-6544, plain, ( ( hAPP(hAPP(c_List_Otake(_u15325), _u15326), hAPP(hAPP(c_List_Omap(_u15327, _u15325), _u15328), _u15329)) = hAPP(hAPP(c_List_Omap(_u15327, _u15325), _u15328), hAPP(hAPP(c_List_Otake(_u15327), _u15326), _u15329))) )).
% 39.92/40.15 cnf(matrix-6545, plain, ( ( hAPP(hAPP(c_List_Otake(_u15330), hAPP(c_Nat_OSuc, _u15331)), hAPP(hAPP(c_List_Olist_OCons(_u15330), _u15332), _u15333)) = hAPP(hAPP(c_List_Olist_OCons(_u15330), _u15332), hAPP(hAPP(c_List_Otake(_u15330), _u15331), _u15333))) )).
% 39.92/40.15 cnf(matrix-6546, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u15334, hAPP(hAPP(c_List_Olist_OCons(_u15334), _u15335), _u15336)), _u15337), _u15338) = c_Nat_Onat_Onat__case(tc_List_Olist(_u15334), hAPP(hAPP(c_List_Olist_OCons(_u15334), _u15338), _u15336), hAPP(hAPP(c_COMBB(tc_List_Olist(_u15334), tc_List_Olist(_u15334), tc_Nat_Onat), hAPP(c_List_Olist_OCons(_u15334), _u15335)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, _u15334, tc_List_Olist(_u15334)), c_List_Olist__update(_u15334, _u15336)), _u15338)), _u15337)) )).
% 39.92/40.15 cnf(matrix-6547, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u15339, hAPP(hAPP(c_List_Olist_OCons(_u15339), _u15340), _u15341)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u15342) = hAPP(hAPP(c_List_Olist_OCons(_u15339), _u15342), _u15341)) )).
% 39.92/40.15 cnf(matrix-6548, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u15343, hAPP(hAPP(c_List_Olist_OCons(_u15343), _u15344), _u15345)), hAPP(c_Nat_OSuc, _u15346)), _u15347) = hAPP(hAPP(c_List_Olist_OCons(_u15343), _u15344), hAPP(hAPP(c_List_Olist__update(_u15343, _u15345), _u15346), _u15347))) )).
% 39.92/40.15 cnf(matrix-6549, plain, ( ( hAPP(hAPP(c_List_Olist__update(tc_prod(_u15348, _u15349), hAPP(hAPP(c_List_Ozip(_u15348, _u15349), _u15350), _u15351)), _u15352), _u15353) = hAPP(hAPP(c_List_Ozip(_u15348, _u15349), hAPP(hAPP(c_List_Olist__update(_u15348, _u15350), _u15352), hAPP(c_Product__Type_Ofst(_u15348, _u15349), _u15353))), hAPP(hAPP(c_List_Olist__update(_u15349, _u15351), _u15352), hAPP(c_Product__Type_Osnd(_u15348, _u15349), _u15353)))) )).
% 39.92/40.15 cnf(matrix-6550, plain, ( ( hAPP(hAPP(c_List_Otake(tc_prod(_u15354, _u15355)), _u15356), hAPP(hAPP(c_List_Ozip(_u15354, _u15355), _u15357), _u15358)) = hAPP(hAPP(c_List_Ozip(_u15354, _u15355), hAPP(hAPP(c_List_Otake(_u15354), _u15356), _u15357)), hAPP(hAPP(c_List_Otake(_u15355), _u15356), _u15358))) )).
% 39.92/40.15 cnf(matrix-6551, plain, ( ( hAPP(hAPP(c_List_Ozip(_u15359, _u15360), hAPP(hAPP(c_List_Olist__update(_u15359, _u15361), _u15362), _u15363)), hAPP(hAPP(c_List_Olist__update(_u15360, _u15364), _u15362), _u15365)) = hAPP(hAPP(c_List_Olist__update(tc_prod(_u15359, _u15360), hAPP(hAPP(c_List_Ozip(_u15359, _u15360), _u15361), _u15364)), _u15362), hAPP(hAPP(c_Product__Type_OPair(_u15359, _u15360), _u15363), _u15365))) )).
% 39.92/40.15 cnf(matrix-6552, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15366), _u15367), hAPP(c_List_Oset(_u15366), hAPP(hAPP(c_List_Otake(_u15366), _u15368), _u15369)))) | hBOOL(hAPP(hAPP(c_member(_u15366), _u15367), hAPP(c_List_Oset(_u15366), _u15369))) )).
% 39.92/40.15 cnf(matrix-6553, plain, ( ( hAPP(hAPP(c_List_Otake(_u15370), _u15371), hAPP(hAPP(c_List_Otake(_u15370), _u15372), _u15373)) = hAPP(hAPP(c_List_Otake(_u15370), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u15371), _u15372)), _u15373)) )).
% 39.92/40.15 cnf(matrix-6554, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u15374, hAPP(hAPP(c_List_Olist__update(_u15374, _u15375), _u15376), _u15377)), _u15376), _u15378) = hAPP(hAPP(c_List_Olist__update(_u15374, _u15375), _u15376), _u15378)) )).
% 39.92/40.15 cnf(matrix-6555, plain, ( ( _u15379 = _u15380) | ( hAPP(hAPP(c_List_Olist__update(_u15381, hAPP(hAPP(c_List_Olist__update(_u15381, _u15382), _u15379), _u15383)), _u15380), _u15384) = hAPP(hAPP(c_List_Olist__update(_u15381, hAPP(hAPP(c_List_Olist__update(_u15381, _u15382), _u15380), _u15384)), _u15379), _u15383)) )).
% 39.92/40.15 cnf(matrix-6556, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u15385), _u15386)) | hBOOL(hAPP(c_List_Odistinct(_u15385), hAPP(hAPP(c_List_Otake(_u15385), _u15387), _u15386))) )).
% 39.92/40.15 cnf(matrix-6557, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15388, tc_HOL_Obool)), hAPP(c_List_Oset(_u15388), hAPP(hAPP(c_List_Otake(_u15388), _u15389), _u15390))), hAPP(c_List_Oset(_u15388), _u15390))) )).
% 39.92/40.15 cnf(matrix-6558, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15391)), _u15392)), _u15393)) | ( hAPP(hAPP(c_List_Otake(_u15391), _u15393), _u15392) = _u15392) )).
% 39.92/40.15 cnf(matrix-6559, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15394)), _u15395)), _u15396)) | ( hAPP(hAPP(c_List_Olist__update(_u15394, _u15395), _u15396), _u15397) = _u15395) )).
% 39.92/40.15 cnf(matrix-6560, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15398)), hAPP(hAPP(c_List_Otake(_u15398), _u15399), _u15400)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15398)), _u15400)), _u15399)) )).
% 39.92/40.15 cnf(matrix-6561, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15401)), hAPP(hAPP(c_List_Olist__update(_u15401, _u15402), _u15403), _u15404)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15401)), _u15402)) )).
% 39.92/40.15 cnf(matrix-6562, plain, ( ( c_List_Osublist(_u15405, _u15406, hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u15407)) = hAPP(hAPP(c_List_Otake(_u15405), _u15407), _u15406)) )).
% 39.92/40.15 cnf(matrix-6563, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15408), _u15409)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15410, tc_HOL_Obool)), hAPP(c_List_Oset(_u15410), hAPP(hAPP(c_List_Otake(_u15410), _u15408), _u15411))), hAPP(c_List_Oset(_u15410), hAPP(hAPP(c_List_Otake(_u15410), _u15409), _u15411)))) )).
% 39.92/40.15 cnf(matrix-6564, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15412, tc_HOL_Obool)), hAPP(c_List_Oset(_u15412), _u15413)), _u15414)) | ~hBOOL(hAPP(hAPP(c_member(_u15412), _u15415), _u15414)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15412, tc_HOL_Obool)), hAPP(c_List_Oset(_u15412), hAPP(hAPP(c_List_Olist__update(_u15412, _u15413), _u15416), _u15415))), _u15414)) )).
% 39.92/40.15 cnf(matrix-6565, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15417, tc_HOL_Obool)), hAPP(c_List_Oset(_u15417), hAPP(hAPP(c_List_Olist__update(_u15417, _u15418), _u15419), _u15420))), hAPP(hAPP(c_Set_Oinsert(_u15417), _u15420), hAPP(c_List_Oset(_u15417), _u15418)))) )).
% 39.92/40.15 cnf(matrix-6566, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15421), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15422)), _u15423))) | ( hAPP(hAPP(c_List_Onth(_u15422), hAPP(hAPP(c_List_Olist__update(_u15422, _u15423), _u15421), _u15424)), _u15421) = _u15424) )).
% 39.92/40.15 cnf(matrix-6567, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15425), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15426)), _u15427))) | ( hAPP(hAPP(c_List_Olist__update(_u15426, _u15427), _u15425), _u15428) != _u15427) | ( hAPP(hAPP(c_List_Onth(_u15426), _u15427), _u15425) = _u15428) )).
% 39.92/40.15 cnf(matrix-6568, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15425), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15426)), _u15427))) | ( hAPP(hAPP(c_List_Onth(_u15426), _u15427), _u15425) != _u15428) | ( hAPP(hAPP(c_List_Olist__update(_u15426, _u15427), _u15425), _u15428) = _u15427) )).
% 39.92/40.15 cnf(matrix-6569, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15429), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15430)), _u15431))) | ( _u15429 != _u15432) | ( hAPP(hAPP(c_List_Onth(_u15430), hAPP(hAPP(c_List_Olist__update(_u15430, _u15431), _u15429), _u15433)), _u15432) = _u15433) )).
% 39.92/40.15 cnf(matrix-6570, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15429), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15430)), _u15431))) | ( _u15429 = _u15432) | ( hAPP(hAPP(c_List_Onth(_u15430), hAPP(hAPP(c_List_Olist__update(_u15430, _u15431), _u15429), _u15433)), _u15432) = hAPP(hAPP(c_List_Onth(_u15430), _u15431), _u15432)) )).
% 39.92/40.15 cnf(matrix-6571, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15434), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15435)), _u15436))) | hBOOL(hAPP(hAPP(c_member(_u15435), _u15437), hAPP(c_List_Oset(_u15435), hAPP(hAPP(c_List_Olist__update(_u15435, _u15436), _u15434), _u15437)))) )).
% 39.92/40.15 cnf(matrix-6572, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15445), _u15447), hAPP(c_List_Oset(_u15445), hAPP(hAPP(c_List_Otake(_u15445), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15449)), _u15451)), _u15453)))) | ( c_Map_Omap__upds(_u15445, _u15449, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u15445, tc_Option_Ooption(_u15449)), _u15455), _u15447), hAPP(c_Option_Ooption_OSome(_u15449), _u15457)), _u15453, _u15451) = c_Map_Omap__upds(_u15445, _u15449, _u15455, _u15453, _u15451)) )).
% 39.92/40.15 cnf(matrix-6573, plain, ( hBOOL(hAPP(hAPP(c_member(_u15446), _u15448), hAPP(c_List_Oset(_u15446), hAPP(hAPP(c_List_Otake(_u15446), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15450)), _u15452)), _u15454)))) | ( c_Map_Omap__upds(_u15446, _u15450, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u15446, tc_Option_Ooption(_u15450)), _u15456), _u15448), hAPP(c_Option_Ooption_OSome(_u15450), _u15458)), _u15454, _u15452) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u15446, tc_Option_Ooption(_u15450)), c_Map_Omap__upds(_u15446, _u15450, _u15456, _u15454, _u15452)), _u15448), hAPP(c_Option_Ooption_OSome(_u15450), _u15458))) )).
% 39.92/40.15 cnf(matrix-6574, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15459, _u15459), tc_HOL_Obool)), _u15460), _u15461)) | ~c_Relation_Orefl__on(_u15459, c_Orderings_Otop__class_Otop(tc_fun(_u15459, tc_HOL_Obool)), _u15461) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u15459), tc_List_Olist(_u15459)), tc_HOL_Obool)), c_List_Olistrel1(_u15459, _u15460)), c_List_Olistrel(_u15459, _u15461))) )).
% 39.92/40.15 cnf(matrix-6575, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15462), _u15463), c_Wellfounded_Oacc(_u15462, _u15464))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15462)), _u15465), c_Wellfounded_Oacc(tc_List_Olist(_u15462), c_List_Olistrel1(_u15462, _u15464)))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15462)), hAPP(hAPP(c_List_Olist_OCons(_u15462), _u15463), _u15465)), c_Wellfounded_Oacc(tc_List_Olist(_u15462), c_List_Olistrel1(_u15462, _u15464)))) )).
% 39.92/40.15 cnf(matrix-6576, plain, ( ( c_Map_Omap__add(_u15466, _u15467, _u15468, c_Map_Omap__upds(_u15466, _u15467, _u15469, _u15470, _u15471)) = c_Map_Omap__upds(_u15466, _u15467, c_Map_Omap__add(_u15466, _u15467, _u15468, _u15469), _u15470, _u15471)) )).
% 39.92/40.15 cnf(matrix-6577, plain, ( hBOOL(hAPP(hAPP(c_member(_u15472), _u15473), hAPP(c_List_Oset(_u15472), _u15474))) | ( hAPP(c_Map_Omap__upds(_u15472, _u15475, _u15476, _u15474, _u15477), _u15473) = hAPP(_u15476, _u15473)) )).
% 39.92/40.15 cnf(matrix-6578, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15478, _u15478), tc_HOL_Obool)), _u15479), _u15480)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u15478), tc_List_Olist(_u15478)), tc_HOL_Obool)), c_List_Olistrel1(_u15478, _u15479)), c_List_Olistrel1(_u15478, _u15480))) )).
% 39.92/40.15 cnf(matrix-6579, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15481), tc_List_Olist(_u15481))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15481), tc_List_Olist(_u15481)), _u15482), _u15483)), c_List_Olistrel1(_u15481, _u15484))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15481), tc_List_Olist(_u15481))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15481), tc_List_Olist(_u15481)), hAPP(hAPP(c_List_Olist_OCons(_u15481), _u15485), _u15482)), hAPP(hAPP(c_List_Olist_OCons(_u15481), _u15485), _u15483))), c_List_Olistrel1(_u15481, _u15484))) )).
% 39.92/40.15 cnf(matrix-6580, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15486), tc_List_Olist(_u15486))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15486), tc_List_Olist(_u15486)), _u15487), _u15488)), c_List_Olistrel1(_u15486, _u15489))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15486)), _u15487) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15486)), _u15488)) )).
% 39.92/40.15 cnf(matrix-6581, plain, ( ( c_Map_Omap__upds(_u15490, _u15491, _u15492, hAPP(hAPP(c_List_Olist_OCons(_u15490), _u15493), _u15494), hAPP(hAPP(c_List_Olist_OCons(_u15491), _u15495), _u15496)) = c_Map_Omap__upds(_u15490, _u15491, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u15490, tc_Option_Ooption(_u15491)), _u15492), _u15493), hAPP(c_Option_Ooption_OSome(_u15491), _u15495)), _u15494, _u15496)) )).
% 39.92/40.15 cnf(matrix-6582, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15497)), _u15498), c_Wellfounded_Oacc(tc_List_Olist(_u15497), c_List_Olistrel1(_u15497, _u15499)))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15497)), _u15498), c_List_Olists(_u15497, c_Wellfounded_Oacc(_u15497, _u15499)))) )).
% 39.92/40.15 cnf(matrix-6583, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15500)), _u15501), c_List_Olists(_u15500, c_Wellfounded_Oacc(_u15500, _u15502)))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15500)), _u15501), c_Wellfounded_Oacc(tc_List_Olist(_u15500), c_List_Olistrel1(_u15500, _u15502)))) )).
% 39.92/40.15 cnf(matrix-6584, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15503)), _u15504)), _u15505)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15505), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15506)), _u15507))) | ( c_Map_Omap__upds(_u15503, _u15506, _u15508, _u15504, hAPP(hAPP(c_List_Olist__update(_u15506, _u15507), _u15505), _u15509)) = c_Map_Omap__upds(_u15503, _u15506, _u15508, _u15504, _u15507)) )).
% 39.92/40.15 cnf(matrix-6585, plain, ( hBOOL(hAPP(hAPP(c_member(_u15510), _u15511), hAPP(c_List_Oset(_u15510), _u15512))) | ( c_Map_Omap__upds(_u15510, _u15513, hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u15510, tc_Option_Ooption(_u15513)), _u15514), _u15511), hAPP(c_Option_Ooption_OSome(_u15513), _u15515)), _u15512, _u15516) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u15510, tc_Option_Ooption(_u15513)), c_Map_Omap__upds(_u15510, _u15513, _u15514, _u15512, _u15516)), _u15511), hAPP(c_Option_Ooption_OSome(_u15513), _u15515))) )).
% 39.92/40.15 cnf(matrix-6586, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15517, _u15517)), hAPP(hAPP(c_Product__Type_OPair(_u15517, _u15517), _u15518), _u15519)), _u15520)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15517), tc_List_Olist(_u15517))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15517), tc_List_Olist(_u15517)), hAPP(hAPP(c_List_Olist_OCons(_u15517), _u15518), _u15521)), hAPP(hAPP(c_List_Olist_OCons(_u15517), _u15519), _u15521))), c_List_Olistrel1(_u15517, _u15520))) )).
% 39.92/40.15 cnf(matrix-6587, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15528), tc_List_Olist(_u15528))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15528), tc_List_Olist(_u15528)), hAPP(hAPP(c_List_Olist_OCons(_u15528), _u15530), _u15532)), hAPP(hAPP(c_List_Olist_OCons(_u15528), _u15534), _u15536))), c_List_Olistrel1(_u15528, _u15538))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15528, _u15528)), hAPP(hAPP(c_Product__Type_OPair(_u15528, _u15528), _u15530), _u15534)), _u15538)) | ( _u15530 = _u15534) )).
% 39.92/40.15 cnf(matrix-6588, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15528), tc_List_Olist(_u15528))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15528), tc_List_Olist(_u15528)), hAPP(hAPP(c_List_Olist_OCons(_u15528), _u15530), _u15532)), hAPP(hAPP(c_List_Olist_OCons(_u15528), _u15534), _u15536))), c_List_Olistrel1(_u15528, _u15538))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15528, _u15528)), hAPP(hAPP(c_Product__Type_OPair(_u15528, _u15528), _u15530), _u15534)), _u15538)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15528), tc_List_Olist(_u15528))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15528), tc_List_Olist(_u15528)), _u15532), _u15536)), c_List_Olistrel1(_u15528, _u15538))) )).
% 39.92/40.15 cnf(matrix-6589, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15528), tc_List_Olist(_u15528))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15528), tc_List_Olist(_u15528)), hAPP(hAPP(c_List_Olist_OCons(_u15528), _u15530), _u15532)), hAPP(hAPP(c_List_Olist_OCons(_u15528), _u15534), _u15536))), c_List_Olistrel1(_u15528, _u15538))) | ( _u15532 = _u15536) | ( _u15530 = _u15534) )).
% 39.92/40.15 cnf(matrix-6590, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15528), tc_List_Olist(_u15528))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15528), tc_List_Olist(_u15528)), hAPP(hAPP(c_List_Olist_OCons(_u15528), _u15530), _u15532)), hAPP(hAPP(c_List_Olist_OCons(_u15528), _u15534), _u15536))), c_List_Olistrel1(_u15528, _u15538))) | ( _u15532 = _u15536) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15528), tc_List_Olist(_u15528))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15528), tc_List_Olist(_u15528)), _u15532), _u15536)), c_List_Olistrel1(_u15528, _u15538))) )).
% 39.92/40.15 cnf(matrix-6591, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15529), tc_List_Olist(_u15529))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15529), tc_List_Olist(_u15529)), hAPP(hAPP(c_List_Olist_OCons(_u15529), _u15531), _u15533)), hAPP(hAPP(c_List_Olist_OCons(_u15529), _u15535), _u15537))), c_List_Olistrel1(_u15529, _u15539))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15529, _u15529)), hAPP(hAPP(c_Product__Type_OPair(_u15529, _u15529), _u15531), _u15535)), _u15539)) | ( _u15533 != _u15537) )).
% 39.92/40.15 cnf(matrix-6592, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15529), tc_List_Olist(_u15529))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15529), tc_List_Olist(_u15529)), hAPP(hAPP(c_List_Olist_OCons(_u15529), _u15531), _u15533)), hAPP(hAPP(c_List_Olist_OCons(_u15529), _u15535), _u15537))), c_List_Olistrel1(_u15529, _u15539))) | ( _u15531 != _u15535) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15529), tc_List_Olist(_u15529))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15529), tc_List_Olist(_u15529)), _u15533), _u15537)), c_List_Olistrel1(_u15529, _u15539))) )).
% 39.92/40.15 cnf(matrix-6593, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15540)), _u15541) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15542)), _u15543)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15540, tc_HOL_Obool)), hAPP(c_List_Oset(_u15540), _u15541)), _u15544)) | ( c_Map_Orestrict__map(_u15540, _u15542, c_Map_Omap__upds(_u15540, _u15542, _u15545, _u15541, _u15543), _u15544) = c_Map_Omap__upds(_u15540, _u15542, c_Map_Orestrict__map(_u15540, _u15542, _u15545, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u15540, tc_HOL_Obool)), _u15544), hAPP(c_List_Oset(_u15540), _u15541))), _u15541, _u15543)) )).
% 39.92/40.15 cnf(matrix-6594, plain, ( ( c_Map_Odom(_u15546, _u15547, c_Map_Omap__upds(_u15546, _u15547, _u15548, _u15549, _u15550)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15546, tc_HOL_Obool)), hAPP(c_List_Oset(_u15546), hAPP(hAPP(c_List_Otake(_u15546), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15547)), _u15550)), _u15549))), c_Map_Odom(_u15546, _u15547, _u15548))) )).
% 39.92/40.15 cnf(matrix-6595, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15559), tc_List_Olist(_u15559))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15559), tc_List_Olist(_u15559)), _u15561), _u15563)), c_List_Olistrel1(_u15559, _u15565))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15559, _u15559)), hAPP(hAPP(c_Product__Type_OPair(_u15559, _u15559), hAPP(hAPP(c_List_Onth(_u15559), _u15561), skolem367(_u15565, _u15563, _u15561, _u15559))), skolem366(_u15565, _u15563, _u15561, _u15559))), _u15565)) )).
% 39.92/40.15 cnf(matrix-6596, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15559), tc_List_Olist(_u15559))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15559), tc_List_Olist(_u15559)), _u15561), _u15563)), c_List_Olistrel1(_u15559, _u15565))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem367(_u15565, _u15563, _u15561, _u15559)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15559)), _u15561))) )).
% 39.92/40.15 cnf(matrix-6597, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15559), tc_List_Olist(_u15559))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15559), tc_List_Olist(_u15559)), _u15561), _u15563)), c_List_Olistrel1(_u15559, _u15565))) | ( _u15563 = hAPP(hAPP(c_List_Olist__update(_u15559, _u15561), skolem367(_u15565, _u15563, _u15561, _u15559)), skolem366(_u15565, _u15563, _u15561, _u15559))) )).
% 39.92/40.15 cnf(matrix-6598, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15560, _u15560)), hAPP(hAPP(c_Product__Type_OPair(_u15560, _u15560), hAPP(hAPP(c_List_Onth(_u15560), _u15562), _u15553)), _u15554)), _u15566)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15553), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15560)), _u15562))) | ( _u15564 != hAPP(hAPP(c_List_Olist__update(_u15560, _u15562), _u15553), _u15554)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15560), tc_List_Olist(_u15560))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15560), tc_List_Olist(_u15560)), _u15562), _u15564)), c_List_Olistrel1(_u15560, _u15566))) )).
% 39.92/40.15 cnf(matrix-6599, plain, ( ~class_Enum_Oenum(_u15568) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15569)), _u15570) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15568)), c_Enum_Oenum__class_Oenum(_u15568))) | ( hAPP(hAPP(c_Map_Omap__of(_u15568, _u15569), hAPP(hAPP(c_List_Ozip(_u15568, _u15569), c_Enum_Oenum__class_Oenum(_u15568)), _u15570)), _u15571) = hAPP(c_Option_Ooption_OSome(_u15569), skolem368(_u15571, _u15570, _u15569, _u15568))) )).
% 39.92/40.15 cnf(matrix-6600, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15574), tc_List_Olist(_u15574))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15574), tc_List_Olist(_u15574)), _u15576), _u15577)), c_List_Olexord(_u15574, _u15575))) | ( _u15576 = _u15577) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15574), tc_List_Olist(_u15574))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15574), tc_List_Olist(_u15574)), _u15577), _u15576)), c_List_Olexord(_u15574, _u15575))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15574, _u15574)), hAPP(hAPP(c_Product__Type_OPair(_u15574, _u15574), skolem369(_u15577, _u15576, _u15575, _u15574)), skolem370(_u15577, _u15576, _u15575, _u15574))), _u15575)) )).
% 39.92/40.15 cnf(matrix-6601, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15574), tc_List_Olist(_u15574))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15574), tc_List_Olist(_u15574)), _u15576), _u15577)), c_List_Olexord(_u15574, _u15575))) | ( _u15576 = _u15577) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15574), tc_List_Olist(_u15574))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15574), tc_List_Olist(_u15574)), _u15577), _u15576)), c_List_Olexord(_u15574, _u15575))) | ( skolem369(_u15577, _u15576, _u15575, _u15574) != skolem370(_u15577, _u15576, _u15575, _u15574)) )).
% 39.92/40.15 cnf(matrix-6602, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15574), tc_List_Olist(_u15574))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15574), tc_List_Olist(_u15574)), _u15576), _u15577)), c_List_Olexord(_u15574, _u15575))) | ( _u15576 = _u15577) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15574), tc_List_Olist(_u15574))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15574), tc_List_Olist(_u15574)), _u15577), _u15576)), c_List_Olexord(_u15574, _u15575))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15574, _u15574)), hAPP(hAPP(c_Product__Type_OPair(_u15574, _u15574), skolem370(_u15577, _u15576, _u15575, _u15574)), skolem369(_u15577, _u15576, _u15575, _u15574))), _u15575)) )).
% 39.92/40.15 cnf(matrix-6603, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u15579, _u15579)), hAPP(hAPP(c_Product__Type_OPair(_u15579, _u15579), skolem371(_u15581, _u15580, _u15579)), skolem371(_u15581, _u15580, _u15579))), _u15580)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15579), tc_List_Olist(_u15579))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15579), tc_List_Olist(_u15579)), _u15581), _u15581)), c_List_Olexord(_u15579, _u15580))) )).
% 39.92/40.15 cnf(matrix-6604, plain, ( ~c_Fun_Oinj__on(_u15582, _u15583, _u15584, c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15582, tc_HOL_Obool), hAPP(c_Set_Oimage(tc_List_Olist(_u15582), tc_fun(_u15582, tc_HOL_Obool), c_List_Oset(_u15582)), _u15585))) | c_Fun_Oinj__on(tc_List_Olist(_u15582), tc_List_Olist(_u15583), hAPP(c_List_Omap(_u15582, _u15583), _u15584), _u15585) )).
% 39.92/40.15 cnf(matrix-6605, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15587, _u15588)), hAPP(hAPP(c_Product__Type_OPair(_u15587, _u15588), _u15589), _u15590)), hAPP(c_List_Oset(tc_prod(_u15587, _u15588)), _u15591))) | ( hAPP(hAPP(c_Map_Omap__of(_u15587, _u15588), _u15591), _u15589) = hAPP(c_Option_Ooption_OSome(_u15588), skolem372(_u15591, _u15590, _u15589, _u15588, _u15587))) )).
% 39.92/40.15 cnf(matrix-6606, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u15592, tc_HOL_Obool)), _u15593), _u15594)) | ~hBOOL(hAPP(hAPP(c_member(_u15592), _u15595), _u15593)) | hBOOL(hAPP(hAPP(c_member(_u15592), _u15595), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15592, tc_HOL_Obool), _u15594))) )).
% 39.92/40.15 cnf(matrix-6607, plain, ( ~c_Equiv__Relations_Oequiv(_u15596, _u15597, _u15598) | ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15596, tc_HOL_Obool), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u15596), _u15597), _u15598)) = _u15597) )).
% 39.92/40.15 cnf(matrix-6608, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15599, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u15599, tc_HOL_Obool)), _u15600), _u15601)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15599, tc_HOL_Obool)), _u15600), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15599, tc_HOL_Obool), _u15601))) )).
% 39.92/40.15 cnf(matrix-6609, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u15602, _u15603), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15602, tc_HOL_Obool), _u15604)), _u15605) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u15602, tc_HOL_Obool), tc_fun(tc_prod(_u15602, _u15603), tc_HOL_Obool)), _u15604), hAPP(hAPP(c_COMBC(tc_fun(_u15602, tc_HOL_Obool), tc_fun(_u15602, tc_fun(_u15603, tc_HOL_Obool)), tc_fun(tc_prod(_u15602, _u15603), tc_HOL_Obool)), c_Product__Type_OSigma(_u15602, _u15603)), _u15605))) )).
% 39.92/40.15 cnf(matrix-6610, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15611, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15611, tc_HOL_Obool), _u15613)), _u15615) != c_Orderings_Obot__class_Obot(tc_fun(_u15611, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u15611, tc_HOL_Obool)), _u15606), _u15613)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15611, tc_HOL_Obool)), _u15606), _u15615) = c_Orderings_Obot__class_Obot(tc_fun(_u15611, tc_HOL_Obool))) )).
% 39.92/40.15 cnf(matrix-6611, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15612, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15612, tc_HOL_Obool), _u15614)), _u15616) = c_Orderings_Obot__class_Obot(tc_fun(_u15612, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u15612, tc_HOL_Obool)), skolem373(_u15616, _u15614, _u15612)), _u15614)) )).
% 39.92/40.15 cnf(matrix-6612, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15612, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15612, tc_HOL_Obool), _u15614)), _u15616) = c_Orderings_Obot__class_Obot(tc_fun(_u15612, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15612, tc_HOL_Obool)), skolem373(_u15616, _u15614, _u15612)), _u15616) != c_Orderings_Obot__class_Obot(tc_fun(_u15612, tc_HOL_Obool))) )).
% 39.92/40.15 cnf(matrix-6613, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15617, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15617, tc_HOL_Obool), _u15618)), _u15619) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u15617, tc_HOL_Obool), tc_fun(_u15617, tc_HOL_Obool)), _u15618), hAPP(hAPP(c_COMBC(tc_fun(_u15617, tc_HOL_Obool), tc_fun(_u15617, tc_HOL_Obool), tc_fun(_u15617, tc_HOL_Obool)), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15617, tc_HOL_Obool))), _u15619))) )).
% 39.92/40.15 cnf(matrix-6614, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15620, tc_HOL_Obool)), _u15621), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15620, tc_HOL_Obool), _u15622)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u15620, tc_HOL_Obool), tc_fun(_u15620, tc_HOL_Obool)), _u15622), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15620, tc_HOL_Obool)), _u15621))) )).
% 39.92/40.15 cnf(matrix-6615, plain, ( ( hAPP(c_Relation_ODomain(_u15623, _u15624), c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(_u15623, _u15624), tc_HOL_Obool), _u15625)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(tc_prod(_u15623, _u15624), tc_HOL_Obool), tc_fun(_u15623, tc_HOL_Obool)), _u15625), c_Relation_ODomain(_u15623, _u15624))) )).
% 39.92/40.15 cnf(matrix-6616, plain, ( ( hAPP(c_Relation_ORange(_u15626, _u15627), c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(_u15626, _u15627), tc_HOL_Obool), _u15628)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(tc_prod(_u15626, _u15627), tc_HOL_Obool), tc_fun(_u15627, tc_HOL_Obool)), _u15628), c_Relation_ORange(_u15626, _u15627))) )).
% 39.92/40.15 cnf(matrix-6617, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15629, tc_HOL_Obool), _u15630) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u15629, tc_HOL_Obool), tc_fun(_u15629, tc_HOL_Obool)), _u15630), c_COMBI(tc_fun(_u15629, tc_HOL_Obool)))) )).
% 39.92/40.15 cnf(matrix-6618, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15631, tc_fun(_u15632, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15631, tc_HOL_Obool), _u15633)), _u15634) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u15631, tc_HOL_Obool), tc_fun(_u15632, tc_HOL_Obool)), _u15633), hAPP(hAPP(c_COMBC(tc_fun(_u15631, tc_HOL_Obool), tc_fun(_u15631, tc_fun(_u15632, tc_HOL_Obool)), tc_fun(_u15632, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15631, tc_fun(_u15632, tc_HOL_Obool))), _u15634))) )).
% 39.92/40.15 cnf(matrix-6619, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u15635, tc_HOL_Obool), tc_fun(_u15636, tc_HOL_Obool)), _u15637), hAPP(hAPP(c_COMBC(tc_fun(_u15635, tc_HOL_Obool), tc_fun(_u15635, tc_fun(_u15636, tc_HOL_Obool)), tc_fun(_u15636, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15635, tc_fun(_u15636, tc_HOL_Obool))), _u15638)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15635, tc_fun(_u15636, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15635, tc_HOL_Obool), _u15637)), _u15638)) )).
% 39.92/40.15 cnf(matrix-6620, plain, ( ( hAPP(c_Set_Ovimage(_u15639, _u15640, _u15641), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15640, tc_HOL_Obool), _u15642)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u15640, tc_HOL_Obool), tc_fun(_u15639, tc_HOL_Obool)), _u15642), c_Set_Ovimage(_u15639, _u15640, _u15641))) )).
% 39.92/40.15 cnf(matrix-6621, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15645) | ~class_Orderings_Olinorder(_u15645) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u15645), _u15646), c_Complete__Lattice_OSup__class_OSup(_u15645, _u15647))) | hBOOL(hAPP(hAPP(c_member(_u15645), skolem374(_u15647, _u15646, _u15645)), _u15647)) )).
% 39.92/40.15 cnf(matrix-6622, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15645) | ~class_Orderings_Olinorder(_u15645) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u15645), _u15646), c_Complete__Lattice_OSup__class_OSup(_u15645, _u15647))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u15645), _u15646), skolem374(_u15647, _u15646, _u15645))) )).
% 39.92/40.15 cnf(matrix-6623, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15645) | ~class_Orderings_Olinorder(_u15645) | ~hBOOL(hAPP(hAPP(c_member(_u15645), _u15644), _u15647)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u15645), _u15646), _u15644)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u15645), _u15646), c_Complete__Lattice_OSup__class_OSup(_u15645, _u15647))) )).
% 39.92/40.15 cnf(matrix-6624, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15648, tc_HOL_Obool), hAPP(c_Set_OPow(_u15648), _u15649)) = _u15649) )).
% 39.92/40.15 cnf(matrix-6625, plain, ( ( hAPP(c_Relation_OField(_u15650), c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(_u15650, _u15650), tc_HOL_Obool), _u15651)) = c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15650, tc_HOL_Obool), hAPP(c_Set_Oimage(tc_fun(tc_prod(_u15650, _u15650), tc_HOL_Obool), tc_fun(_u15650, tc_HOL_Obool), c_Relation_OField(_u15650)), _u15651))) )).
% 39.92/40.15 cnf(matrix-6626, plain, ( ( hAPP(c_Set_Oimage(_u15652, _u15653, _u15654), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15652, tc_HOL_Obool), _u15655)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u15652, tc_HOL_Obool), tc_fun(_u15653, tc_HOL_Obool)), _u15655), c_Set_Oimage(_u15652, _u15653, _u15654))) )).
% 39.92/40.15 cnf(matrix-6627, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15656, tc_HOL_Obool), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u15656, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u15656, tc_HOL_Obool))) )).
% 39.92/40.15 cnf(matrix-6628, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u15657, tc_HOL_Obool)), _u15658), _u15659)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15657, tc_HOL_Obool)), _u15658), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15657, tc_HOL_Obool), _u15659))) )).
% 39.92/40.15 cnf(matrix-6629, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15662) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15662), c_Complete__Lattice_OSup__class_OSup(_u15662, _u15663)), _u15664)) | ~hBOOL(hAPP(hAPP(c_member(_u15662), _u15660), _u15663)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15662), _u15660), _u15664)) )).
% 39.92/40.15 cnf(matrix-6630, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15662) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15662), c_Complete__Lattice_OSup__class_OSup(_u15662, _u15663)), _u15664)) | hBOOL(hAPP(hAPP(c_member(_u15662), skolem375(_u15664, _u15663, _u15662)), _u15663)) )).
% 39.92/40.15 cnf(matrix-6631, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15662) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15662), c_Complete__Lattice_OSup__class_OSup(_u15662, _u15663)), _u15664)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15662), skolem375(_u15664, _u15663, _u15662)), _u15664)) )).
% 39.92/40.15 cnf(matrix-6632, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u15665, tc_HOL_Obool), tc_HOL_Obool)), _u15666), _u15667)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15665, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15665, tc_HOL_Obool), _u15666)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15665, tc_HOL_Obool), _u15667))) )).
% 39.92/40.15 cnf(matrix-6633, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15668), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15668, tc_HOL_Obool), _u15669))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u15668, tc_HOL_Obool)), _u15669)) )).
% 39.92/40.15 cnf(matrix-6634, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u15670, tc_HOL_Obool), tc_HOL_Obool)), _u15671), hAPP(c_Set_OPow(_u15670), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15670, tc_HOL_Obool), _u15671)))) )).
% 39.92/40.15 cnf(matrix-6635, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15672, tc_HOL_Obool), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u15672, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u15672, tc_HOL_Obool))) )).
% 39.92/40.15 cnf(matrix-6636, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15673, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u15673, tc_HOL_Obool), tc_HOL_Obool)), _u15674), _u15675)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15673, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15673, tc_HOL_Obool), _u15674)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15673, tc_HOL_Obool), _u15675))) )).
% 39.92/40.15 cnf(matrix-6637, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15676, tc_HOL_Obool), hAPP(c_Set_Oimage(_u15677, tc_fun(_u15676, tc_HOL_Obool), _u15678), _u15679)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15677, tc_fun(_u15676, tc_HOL_Obool)), _u15679), _u15678)) )).
% 39.92/40.15 cnf(matrix-6638, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15680, tc_fun(_u15681, tc_HOL_Obool)), _u15682), _u15683) = c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15681, tc_HOL_Obool), hAPP(c_Set_Oimage(_u15680, tc_fun(_u15681, tc_HOL_Obool), _u15683), _u15682))) )).
% 39.92/40.15 cnf(matrix-6639, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15684) | ~hBOOL(hAPP(hAPP(c_member(_u15684), _u15685), _u15686)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15684), _u15685), c_Complete__Lattice_OSup__class_OSup(_u15684, _u15686))) )).
% 39.92/40.15 cnf(matrix-6640, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15687) | ( c_Complete__Lattice_OSup__class_OSup(_u15687, c_Orderings_Obot__class_Obot(tc_fun(_u15687, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(_u15687)) )).
% 39.92/40.15 cnf(matrix-6641, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15688) | ( c_Complete__Lattice_OSup__class_OSup(_u15688, hAPP(hAPP(c_Set_Oinsert(_u15688), _u15689), c_Orderings_Obot__class_Obot(tc_fun(_u15688, tc_HOL_Obool)))) = _u15689) )).
% 39.92/40.15 cnf(matrix-6642, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15690) | ( c_Complete__Lattice_OSup__class_OSup(_u15690, hAPP(hAPP(c_Set_Oinsert(_u15690), _u15691), _u15692)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u15690), _u15691), c_Complete__Lattice_OSup__class_OSup(_u15690, _u15692))) )).
% 39.92/40.15 cnf(matrix-6643, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15693) | ( c_Complete__Lattice_OSup__class_OSup(_u15693, c_Orderings_Otop__class_Otop(tc_fun(_u15693, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(_u15693)) )).
% 39.92/40.15 cnf(matrix-6644, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15694, tc_HOL_Obool)), _u15695), _u15696) = c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15694, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u15694, tc_HOL_Obool)), _u15695), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u15694, tc_HOL_Obool)), _u15696), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u15694, tc_HOL_Obool), tc_HOL_Obool)))))) )).
% 39.92/40.15 cnf(matrix-6645, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15697, tc_fun(_u15698, tc_HOL_Obool)), _u15699), hAPP(hAPP(c_COMBS(_u15697, tc_fun(_u15698, tc_HOL_Obool), tc_fun(_u15698, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15698, tc_HOL_Obool), tc_fun(tc_fun(_u15698, tc_HOL_Obool), tc_fun(_u15698, tc_HOL_Obool)), _u15697), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15698, tc_HOL_Obool))), _u15700)), _u15701)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15698, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15698, tc_HOL_Obool), hAPP(c_Set_Oimage(_u15697, tc_fun(_u15698, tc_HOL_Obool), _u15700), _u15699))), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15698, tc_HOL_Obool), hAPP(c_Set_Oimage(_u15697, tc_fun(_u15698, tc_HOL_Obool), _u15701), _u15699)))) )).
% 39.92/40.15 cnf(matrix-6646, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15702, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15702, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(_u15702, tc_HOL_Obool), tc_HOL_Obool)), _u15703), _u15704))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15702, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15702, tc_HOL_Obool), _u15703)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15702, tc_HOL_Obool), _u15704)))) )).
% 39.92/40.15 cnf(matrix-6647, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15705) | ( c_Complete__Lattice_OSup__class_OSup(_u15705, hAPP(hAPP(c_Set_Oinsert(_u15705), _u15706), hAPP(hAPP(c_Set_Oinsert(_u15705), _u15707), c_Orderings_Obot__class_Obot(tc_fun(_u15705, tc_HOL_Obool))))) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u15705), _u15706), _u15707)) )).
% 39.92/40.15 cnf(matrix-6648, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15708) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15708), _u15709)) | ( _u15709 = c_Orderings_Obot__class_Obot(tc_fun(_u15708, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u15708, _u15709) = c_Complete__Lattice_OSup__class_OSup(_u15708, _u15709)) )).
% 39.92/40.15 cnf(matrix-6649, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u15711, tc_HOL_Obool)), _u15712)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u15711), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15711, tc_HOL_Obool), _u15712))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u15711, tc_HOL_Obool)), skolem376(_u15712, _u15711)), _u15712)) )).
% 39.92/40.15 cnf(matrix-6650, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u15711, tc_HOL_Obool)), _u15712)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u15711), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15711, tc_HOL_Obool), _u15712))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15711), skolem376(_u15712, _u15711))) )).
% 39.92/40.15 cnf(matrix-6651, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u15715, tc_HOL_Obool)), _u15716), _u15717)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15715, tc_HOL_Obool)), _u15716), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15715, tc_HOL_Obool), _u15717)) = c_Orderings_Obot__class_Obot(tc_fun(_u15715, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u15715, tc_HOL_Obool)), skolem377(_u15717, _u15716, _u15715)), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u15715, tc_HOL_Obool)), _u15716), _u15717))) )).
% 39.92/40.15 cnf(matrix-6652, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u15715, tc_HOL_Obool)), _u15716), _u15717)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15715, tc_HOL_Obool)), _u15716), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15715, tc_HOL_Obool), _u15717)) = c_Orderings_Obot__class_Obot(tc_fun(_u15715, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u15715, tc_HOL_Obool)), skolem378(_u15717, _u15716, _u15715)), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u15715, tc_HOL_Obool)), _u15716), _u15717))) )).
% 39.92/40.15 cnf(matrix-6653, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u15715, tc_HOL_Obool)), _u15716), _u15717)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15715, tc_HOL_Obool)), _u15716), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15715, tc_HOL_Obool), _u15717)) = c_Orderings_Obot__class_Obot(tc_fun(_u15715, tc_HOL_Obool))) | ( skolem377(_u15717, _u15716, _u15715) != skolem378(_u15717, _u15716, _u15715)) )).
% 39.92/40.15 cnf(matrix-6654, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u15715, tc_HOL_Obool)), _u15716), _u15717)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15715, tc_HOL_Obool)), _u15716), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15715, tc_HOL_Obool), _u15717)) = c_Orderings_Obot__class_Obot(tc_fun(_u15715, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15715, tc_HOL_Obool)), skolem377(_u15717, _u15716, _u15715)), skolem378(_u15717, _u15716, _u15715)) != c_Orderings_Obot__class_Obot(tc_fun(_u15715, tc_HOL_Obool))) )).
% 39.92/40.15 cnf(matrix-6655, plain, ( ~class_Groups_Ocomm__monoid__add(_u15718) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15718), _u15719) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u15718), hAPP(c_List_Onth(_u15718), _u15719)), 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(_u15718)), _u15719)))) )).
% 39.92/40.15 cnf(matrix-6656, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_List_Olist_Olist__size(_u15721, _u15723, _u15722)), c_List_Olist_Olist__size(_u15721, _u15724, _u15722))) | hBOOL(hAPP(hAPP(c_member(_u15721), skolem379(_u15724, _u15723, _u15722, _u15721)), hAPP(c_List_Oset(_u15721), _u15722))) )).
% 39.92/40.15 cnf(matrix-6657, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_List_Olist_Olist__size(_u15721, _u15723, _u15722)), c_List_Olist_Olist__size(_u15721, _u15724, _u15722))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u15723, skolem379(_u15724, _u15723, _u15722, _u15721))), hAPP(_u15724, skolem379(_u15724, _u15723, _u15722, _u15721)))) )).
% 39.92/40.15 cnf(matrix-6658, plain, ( ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u15728) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u15725), hAPP(c_List_Oset(tc_Nat_Onat), _u15728))) | ( _u15725 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.92/40.15 cnf(matrix-6659, plain, ( ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u15729) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem380(_u15729)), hAPP(c_List_Oset(tc_Nat_Onat), _u15729))) )).
% 39.92/40.15 cnf(matrix-6660, plain, ( ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u15729) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( skolem380(_u15729) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.92/40.15 cnf(matrix-6661, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15730), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)), _u15731))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_List_Onth(tc_Nat_Onat), _u15731), _u15730)), hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u15731))) )).
% 39.92/40.15 cnf(matrix-6662, plain, ( ~class_Groups_Omonoid__add(_u15732) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15732), hAPP(hAPP(c_List_Olist_OCons(_u15732), _u15733), _u15734)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u15732), _u15733), hAPP(c_List_Omonoid__add__class_Olistsum(_u15732), _u15734))) )).
% 39.92/40.15 cnf(matrix-6663, plain, ( ~class_Groups_Omonoid__add(_u15735) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15735), hAPP(hAPP(c_List_Omap(_u15736, _u15735), hAPP(c_COMBK(_u15735, _u15736), c_Groups_Ozero__class_Ozero(_u15735))), _u15737)) = c_Groups_Ozero__class_Ozero(_u15735)) )).
% 39.92/40.15 cnf(matrix-6664, plain, ( ~class_Groups_Ocomm__monoid__add(_u15738) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15738), hAPP(hAPP(c_List_Omap(_u15739, _u15738), hAPP(hAPP(c_COMBS(_u15739, _u15738, _u15738), hAPP(hAPP(c_COMBB(_u15738, tc_fun(_u15738, _u15738), _u15739), c_Groups_Oplus__class_Oplus(_u15738)), _u15740)), _u15741)), _u15742)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u15738), hAPP(c_List_Omonoid__add__class_Olistsum(_u15738), hAPP(hAPP(c_List_Omap(_u15739, _u15738), _u15740), _u15742))), hAPP(c_List_Omonoid__add__class_Olistsum(_u15738), hAPP(hAPP(c_List_Omap(_u15739, _u15738), _u15741), _u15742)))) )).
% 39.92/40.15 cnf(matrix-6665, plain, ( ~class_Rings_Osemiring__0(_u15743) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15743), hAPP(hAPP(c_List_Omap(_u15744, _u15743), hAPP(hAPP(c_COMBB(_u15743, _u15743, _u15744), hAPP(c_Groups_Otimes__class_Otimes(_u15743), _u15745)), _u15746)), _u15747)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u15743), _u15745), hAPP(c_List_Omonoid__add__class_Olistsum(_u15743), hAPP(hAPP(c_List_Omap(_u15744, _u15743), _u15746), _u15747)))) )).
% 39.92/40.15 cnf(matrix-6666, plain, ( ~class_Rings_Osemiring__0(_u15748) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15748), hAPP(hAPP(c_List_Omap(_u15749, _u15748), hAPP(hAPP(c_COMBC(_u15749, _u15748, _u15748), hAPP(hAPP(c_COMBB(_u15748, tc_fun(_u15748, _u15748), _u15749), c_Groups_Otimes__class_Otimes(_u15748)), _u15750)), _u15751)), _u15752)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u15748), hAPP(c_List_Omonoid__add__class_Olistsum(_u15748), hAPP(hAPP(c_List_Omap(_u15749, _u15748), _u15750), _u15752))), _u15751)) )).
% 39.92/40.15 cnf(matrix-6667, plain, ( ~class_Groups_Oab__group__add(_u15753) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15753), hAPP(hAPP(c_List_Omap(_u15754, _u15753), hAPP(hAPP(c_COMBS(_u15754, _u15753, _u15753), hAPP(hAPP(c_COMBB(_u15753, tc_fun(_u15753, _u15753), _u15754), c_Groups_Ominus__class_Ominus(_u15753)), _u15755)), _u15756)), _u15757)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u15753), hAPP(c_List_Omonoid__add__class_Olistsum(_u15753), hAPP(hAPP(c_List_Omap(_u15754, _u15753), _u15755), _u15757))), hAPP(c_List_Omonoid__add__class_Olistsum(_u15753), hAPP(hAPP(c_List_Omap(_u15754, _u15753), _u15756), _u15757)))) )).
% 39.92/40.15 cnf(matrix-6668, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15758), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)), _u15759))) | ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), hAPP(hAPP(c_List_Olist__update(tc_Nat_Onat, _u15759), _u15758), _u15760)) = 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), _u15759)), _u15760)), hAPP(hAPP(c_List_Onth(tc_Nat_Onat), _u15759), _u15758))) )).
% 39.92/40.15 cnf(matrix-6669, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u15761) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15761), hAPP(c_Groups_Oabs__class_Oabs(_u15761), hAPP(c_List_Omonoid__add__class_Olistsum(_u15761), _u15762))), hAPP(c_List_Omonoid__add__class_Olistsum(_u15761), hAPP(hAPP(c_List_Omap(_u15761, _u15761), c_Groups_Oabs__class_Oabs(_u15761)), _u15762)))) )).
% 39.92/40.15 cnf(matrix-6670, plain, ( ~class_Groups_Oab__group__add(_u15763) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u15763), hAPP(c_List_Omonoid__add__class_Olistsum(_u15763), hAPP(hAPP(c_List_Omap(_u15764, _u15763), _u15765), _u15766))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u15763), hAPP(hAPP(c_List_Omap(_u15764, _u15763), hAPP(c_Fun_Ocomp(_u15763, _u15763, _u15764, c_Groups_Ouminus__class_Ouminus(_u15763)), _u15765)), _u15766))) )).
% 39.92/40.15 cnf(matrix-6671, plain, ( ( c_List_Olist_Olist__size(_u15767, _u15768, _u15769) = 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(_u15767, tc_Nat_Onat), _u15768), _u15769))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15767)), _u15769))) )).
% 39.92/40.15 cnf(matrix-6672, plain, ( ~class_Groups_Ocomm__monoid__add(_u15770) | ~hBOOL(hAPP(c_List_Odistinct(_u15770), _u15771)) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15770), _u15771) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u15770, _u15770), c_COMBI(_u15770)), hAPP(c_List_Oset(_u15770), _u15771))) )).
% 39.92/40.15 cnf(matrix-6673, plain, ( ~class_Groups_Ocomm__monoid__add(_u15772) | ~hBOOL(hAPP(c_List_Odistinct(_u15773), _u15774)) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15772), hAPP(hAPP(c_List_Omap(_u15773, _u15772), _u15775), _u15774)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u15773, _u15772), _u15775), hAPP(c_List_Oset(_u15773), _u15774))) )).
% 39.92/40.15 cnf(matrix-6674, plain, ( ~class_Groups_Ocomm__monoid__add(_u15776) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u15776), _u15777), hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u15778, _u15779))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u15776), hAPP(hAPP(c_List_Omap(tc_Int_Oint, _u15776), _u15777), c_List_Oupto(_u15778, _u15779)))) )).
% 39.92/40.15 cnf(matrix-6675, plain, ( ~class_Groups_Ocomm__monoid__add(_u15780) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15780), hAPP(hAPP(c_List_Omap(tc_Int_Oint, _u15780), _u15781), c_List_Oupto(_u15782, _u15783))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u15780), _u15781), hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u15782, _u15783)))) )).
% 39.92/40.15 cnf(matrix-6676, plain, ( ~class_Rings_Osemiring__1(_u15784) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15784), hAPP(hAPP(c_List_Omap(_u15785, _u15784), hAPP(c_COMBK(_u15784, _u15785), _u15786)), _u15787)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u15784), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u15784), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15785)), _u15787))), _u15786)) )).
% 39.92/40.15 cnf(matrix-6677, plain, ( ~class_Groups_Ocomm__monoid__add(_u15788) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15789), _u15790)) | ( c_Nitpick_Osetsum_H(_u15789, _u15788, _u15791, _u15790) = hAPP(c_List_Omonoid__add__class_Olistsum(_u15788), hAPP(hAPP(c_List_Omap(_u15789, _u15788), _u15791), c_Hilbert__Choice_OEps(tc_List_Olist(_u15789), hAPP(hAPP(c_COMBS(tc_List_Olist(_u15789), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u15789)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15789), tc_fun(_u15789, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u15789, tc_HOL_Obool), tc_fun(tc_fun(_u15789, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u15789)), c_fequal), c_List_Oset(_u15789))), _u15790))), c_List_Odistinct(_u15789)))))) )).
% 39.92/40.15 cnf(matrix-6678, plain, ( ~class_Groups_Ocomm__monoid__add(_u15788) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u15789), _u15790)) | ( c_Nitpick_Osetsum_H(_u15789, _u15788, _u15791, _u15790) = c_Groups_Ozero__class_Ozero(_u15788)) )).
% 39.92/40.15 cnf(matrix-6679, plain, ( ~class_Groups_Omonoid__add(_u15793) | ~class_Groups_Oordered__ab__semigroup__add(_u15793) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15793), hAPP(c_List_Omonoid__add__class_Olistsum(_u15793), hAPP(hAPP(c_List_Omap(_u15794, _u15793), _u15796), _u15795))), hAPP(c_List_Omonoid__add__class_Olistsum(_u15793), hAPP(hAPP(c_List_Omap(_u15794, _u15793), _u15797), _u15795)))) | hBOOL(hAPP(hAPP(c_member(_u15794), skolem381(_u15797, _u15796, _u15795, _u15794, _u15793)), hAPP(c_List_Oset(_u15794), _u15795))) )).
% 39.92/40.15 cnf(matrix-6680, plain, ( ~class_Groups_Omonoid__add(_u15793) | ~class_Groups_Oordered__ab__semigroup__add(_u15793) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15793), hAPP(c_List_Omonoid__add__class_Olistsum(_u15793), hAPP(hAPP(c_List_Omap(_u15794, _u15793), _u15796), _u15795))), hAPP(c_List_Omonoid__add__class_Olistsum(_u15793), hAPP(hAPP(c_List_Omap(_u15794, _u15793), _u15797), _u15795)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15793), hAPP(_u15796, skolem381(_u15797, _u15796, _u15795, _u15794, _u15793))), hAPP(_u15797, skolem381(_u15797, _u15796, _u15795, _u15794, _u15793)))) )).
% 39.92/40.15 cnf(matrix-6681, plain, ( ~hBOOL(hAPP(_u15798, _u15799)) | hBOOL(hAPP(_u15798, c_Hilbert__Choice_OEps(_u15800, _u15798))) )).
% 39.92/40.15 cnf(matrix-6682, plain, ( ~hBOOL(hAPP(_u15802, _u15801)) | hBOOL(hAPP(_u15802, c_Hilbert__Choice_OEps(_u15803, _u15802))) )).
% 39.92/40.15 cnf(matrix-6683, plain, ( ( c_Hilbert__Choice_OEps(_u15804, hAPP(c_fequal, _u15805)) = _u15805) )).
% 39.92/40.15 cnf(matrix-6684, plain, ( ( c_Hilbert__Choice_OEps(_u15806, hAPP(hAPP(c_COMBC(_u15806, _u15806, tc_HOL_Obool), c_fequal), _u15807)) = _u15807) )).
% 39.92/40.15 cnf(matrix-6685, plain, ( ~hBOOL(hAPP(_u15812, c_Hilbert__Choice_OEps(_u15814, _u15812))) | hBOOL(hAPP(_u15812, skolem382(_u15814, _u15812))) )).
% 39.92/40.15 cnf(matrix-6686, plain, ( ~hBOOL(hAPP(_u15813, _u15809)) | hBOOL(hAPP(_u15813, c_Hilbert__Choice_OEps(_u15815, _u15813))) )).
% 39.92/40.15 cnf(matrix-6687, plain, ( ~hBOOL(hAPP(_u15817, _u15816)) | hBOOL(hAPP(_u15817, c_Hilbert__Choice_OEps(_u15818, _u15817))) )).
% 39.92/40.15 cnf(matrix-6688, plain, ( ~hBOOL(hAPP(_u15820, _u15819)) | ( _u15821 != c_Hilbert__Choice_OEps(_u15822, _u15820)) | hBOOL(hAPP(_u15820, _u15821)) )).
% 39.92/40.15 cnf(matrix-6689, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15825), _u15827)) | ( c_Nitpick_Ocard_H(_u15825, _u15827) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15825)), c_Hilbert__Choice_OEps(tc_List_Olist(_u15825), hAPP(hAPP(c_COMBS(tc_List_Olist(_u15825), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u15825)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15825), tc_fun(_u15825, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u15825, tc_HOL_Obool), tc_fun(tc_fun(_u15825, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u15825)), c_fequal), c_List_Oset(_u15825))), _u15827))), c_List_Odistinct(_u15825))))) )).
% 39.92/40.15 cnf(matrix-6690, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u15826), _u15828)) | ( c_Nitpick_Ocard_H(_u15826, _u15828) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.92/40.15 cnf(matrix-6691, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15829), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15830)), _u15831))) | ( c_List_Obutlast(_u15830, hAPP(hAPP(c_List_Otake(_u15830), _u15829), _u15831)) = hAPP(hAPP(c_List_Otake(_u15830), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u15829), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u15831)) )).
% 39.92/40.15 cnf(matrix-6692, plain, ( ( hAPP(hAPP(c_List_Omap(_u15832, _u15833), _u15834), c_List_Obutlast(_u15832, _u15835)) = c_List_Obutlast(_u15833, hAPP(hAPP(c_List_Omap(_u15832, _u15833), _u15834), _u15835))) )).
% 39.92/40.15 cnf(matrix-6693, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15836), _u15837), hAPP(c_List_Oset(_u15836), c_List_Obutlast(_u15836, _u15838)))) | hBOOL(hAPP(hAPP(c_member(_u15836), _u15837), hAPP(c_List_Oset(_u15836), _u15838))) )).
% 39.92/40.15 cnf(matrix-6694, plain, ( ( c_Hilbert__Choice_OEps(tc_prod(_u15839, _u15840), hAPP(c_Product__Type_Oprod_Oprod__case(_u15839, _u15840, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u15839, tc_fun(_u15840, tc_HOL_Obool), tc_fun(_u15840, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u15840, tc_HOL_Obool), tc_fun(_u15840, tc_HOL_Obool)), _u15839), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u15840)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u15839), c_fconj), hAPP(c_fequal, _u15841)))), hAPP(c_fequal, _u15842)))) = hAPP(hAPP(c_Product__Type_OPair(_u15839, _u15840), _u15841), _u15842)) )).
% 39.92/40.15 cnf(matrix-6695, plain, ( ( c_Hilbert__Choice_OEps(tc_prod(_u15843, _u15844), _u15845) = c_Hilbert__Choice_OEps(tc_prod(_u15843, _u15844), hAPP(c_Product__Type_Oprod_Oprod__case(_u15843, _u15844, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u15844, tc_prod(_u15843, _u15844)), tc_fun(_u15844, tc_HOL_Obool), _u15843), hAPP(c_COMBB(tc_prod(_u15843, _u15844), tc_HOL_Obool, _u15844), _u15845)), c_Product__Type_OPair(_u15843, _u15844))))) )).
% 39.92/40.15 cnf(matrix-6696, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15846), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15847)), _u15848))) | ( hAPP(hAPP(c_List_Otake(_u15847), _u15846), c_List_Obutlast(_u15847, _u15848)) = hAPP(hAPP(c_List_Otake(_u15847), _u15846), _u15848)) )).
% 39.92/40.15 cnf(matrix-6697, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15849)), c_List_Obutlast(_u15849, _u15850)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15849)), _u15850)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 39.92/40.15 cnf(matrix-6698, plain, ( ( c_Hilbert__Choice_OEps(tc_prod(_u15851, _u15852), hAPP(c_Product__Type_Oprod_Oprod__case(_u15851, _u15852, tc_HOL_Obool), _u15853)) = c_Hilbert__Choice_OEps(tc_prod(_u15851, _u15852), hAPP(hAPP(c_COMBS(tc_prod(_u15851, _u15852), _u15852, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u15851, tc_fun(_u15852, tc_HOL_Obool), tc_prod(_u15851, _u15852)), _u15853), c_Product__Type_Ofst(_u15851, _u15852))), c_Product__Type_Osnd(_u15851, _u15852)))) )).
% 39.92/40.15 cnf(matrix-6699, plain, ( ( c_List_Obutlast(_u15854, _u15855) = hAPP(hAPP(c_List_Otake(_u15854), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15854)), _u15855)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u15855)) )).
% 39.92/40.15 cnf(matrix-6700, plain, ( ( _u15860 != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15862)), _u15864)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Obutlast(_u15862, hAPP(hAPP(c_List_Olist__update(_u15862, _u15864), _u15860), _u15866)) = c_List_Obutlast(_u15862, _u15864)) )).
% 39.92/40.15 cnf(matrix-6701, plain, ( ( _u15861 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15863)), _u15865)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Obutlast(_u15863, hAPP(hAPP(c_List_Olist__update(_u15863, _u15865), _u15861), _u15867)) = hAPP(hAPP(c_List_Olist__update(_u15863, c_List_Obutlast(_u15863, _u15865)), _u15861), _u15867)) )).
% 39.92/40.15 cnf(matrix-6702, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15869), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15870)), _u15871))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15869), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15870)), _u15872))) | ( hAPP(hAPP(c_List_Otake(_u15870), _u15869), _u15871) = hAPP(hAPP(c_List_Otake(_u15870), _u15869), _u15872)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem383(_u15872, _u15871, _u15870, _u15869)), _u15869)) )).
% 39.92/40.15 cnf(matrix-6703, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15869), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15870)), _u15871))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15869), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15870)), _u15872))) | ( hAPP(hAPP(c_List_Otake(_u15870), _u15869), _u15871) = hAPP(hAPP(c_List_Otake(_u15870), _u15869), _u15872)) | ( hAPP(hAPP(c_List_Onth(_u15870), _u15871), skolem383(_u15872, _u15871, _u15870, _u15869)) != hAPP(hAPP(c_List_Onth(_u15870), _u15872), skolem383(_u15872, _u15871, _u15870, _u15869))) )).
% 39.92/40.15 cnf(matrix-6704, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u15873))), c_List_Otranspose(_u15873, _u15874)) = c_List_Ofoldr(tc_List_Olist(_u15873), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u15873)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u15873))), _u15874, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 39.92/40.15 cnf(matrix-6705, plain, ( ( c_List_Otranspose(_u15875, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u15876), tc_List_Olist(_u15875)), hAPP(c_List_Omap(_u15876, _u15875), _u15877)), _u15878)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u15876), tc_List_Olist(_u15875)), hAPP(c_List_Omap(_u15876, _u15875), _u15877)), c_List_Otranspose(_u15876, _u15878))) )).
% 39.92/40.15 cnf(matrix-6706, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15879), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u15880))), c_List_Otranspose(_u15880, _u15881)))) | ( hAPP(hAPP(c_List_Onth(tc_List_Olist(_u15880)), c_List_Otranspose(_u15880, _u15881)), _u15879) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u15880), _u15880), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15880), tc_Nat_Onat, _u15880), c_List_Onth(_u15880)), _u15879)), hAPP(c_List_Ofilter(tc_List_Olist(_u15880), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u15880)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15879)), c_Nat_Osize__class_Osize(tc_List_Olist(_u15880)))), _u15881))) )).
% 39.92/40.15 cnf(matrix-6707, plain, ( ~class_Groups_Ocomm__monoid__add(_u15882) | ~hBOOL(hAPP(hAPP(c_member(_u15883), _u15884), hAPP(c_List_Oset(_u15883), _u15885))) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15882), hAPP(hAPP(c_List_Omap(_u15883, _u15882), _u15886), _u15885)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u15882), hAPP(_u15886, _u15884)), hAPP(c_List_Omonoid__add__class_Olistsum(_u15882), hAPP(hAPP(c_List_Omap(_u15883, _u15882), _u15886), c_List_Oremove1(_u15883, _u15884, _u15885))))) )).
% 39.92/40.15 cnf(matrix-6708, plain, ( ( hAPP(c_List_Ofilter(_u15887, _u15888), hAPP(hAPP(c_List_Omap(_u15889, _u15887), _u15890), _u15891)) = hAPP(hAPP(c_List_Omap(_u15889, _u15887), _u15890), hAPP(c_List_Ofilter(_u15889, hAPP(c_Fun_Ocomp(_u15887, tc_HOL_Obool, _u15889, _u15888), _u15890)), _u15891))) )).
% 39.92/40.15 cnf(matrix-6709, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15892, tc_HOL_Obool)), hAPP(c_List_Oset(_u15892), hAPP(c_List_Ofilter(_u15892, _u15893), _u15894))), hAPP(c_List_Oset(_u15892), _u15894))) )).
% 39.92/40.15 cnf(matrix-6710, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15895)), hAPP(c_List_Ofilter(_u15895, _u15896), _u15897))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15895)), _u15897))) )).
% 39.92/40.15 cnf(matrix-6711, plain, ( ( hAPP(c_List_Ofilter(_u15903, _u15905), _u15907) != _u15907) | ~hBOOL(hAPP(hAPP(c_member(_u15903), _u15898), hAPP(c_List_Oset(_u15903), _u15907))) | hBOOL(hAPP(_u15905, _u15898)) )).
% 39.92/40.15 cnf(matrix-6712, plain, ( ( hAPP(c_List_Ofilter(_u15904, _u15906), _u15908) = _u15908) | hBOOL(hAPP(hAPP(c_member(_u15904), skolem384(_u15908, _u15906, _u15904)), hAPP(c_List_Oset(_u15904), _u15908))) )).
% 39.92/40.15 cnf(matrix-6713, plain, ( ( hAPP(c_List_Ofilter(_u15904, _u15906), _u15908) = _u15908) | ~hBOOL(hAPP(_u15906, skolem384(_u15908, _u15906, _u15904))) )).
% 39.92/40.15 cnf(matrix-6714, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15909)), hAPP(c_List_Ofilter(_u15909, _u15910), _u15911))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15909)), hAPP(c_List_Ofilter(_u15909, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u15909), c_fNot), _u15910)), _u15911))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15909)), _u15911)) )).
% 39.92/40.15 cnf(matrix-6715, plain, ( ( _u15916 != _u15918) | ( c_List_Oremove1(_u15920, _u15916, hAPP(hAPP(c_List_Olist_OCons(_u15920), _u15918), _u15922)) = _u15922) )).
% 39.92/40.15 cnf(matrix-6716, plain, ( ( _u15917 = _u15919) | ( c_List_Oremove1(_u15921, _u15917, hAPP(hAPP(c_List_Olist_OCons(_u15921), _u15919), _u15923)) = hAPP(hAPP(c_List_Olist_OCons(_u15921), _u15919), c_List_Oremove1(_u15921, _u15917, _u15923))) )).
% 39.92/40.15 cnf(matrix-6717, plain, ( ~hBOOL(hAPP(_u15928, _u15930)) | ( hAPP(c_List_Ofilter(_u15932, _u15928), hAPP(hAPP(c_List_Olist_OCons(_u15932), _u15930), _u15934)) = hAPP(hAPP(c_List_Olist_OCons(_u15932), _u15930), hAPP(c_List_Ofilter(_u15932, _u15928), _u15934))) )).
% 39.92/40.15 cnf(matrix-6718, plain, ( hBOOL(hAPP(_u15929, _u15931)) | ( hAPP(c_List_Ofilter(_u15933, _u15929), hAPP(hAPP(c_List_Olist_OCons(_u15933), _u15931), _u15935)) = hAPP(c_List_Ofilter(_u15933, _u15929), _u15935)) )).
% 39.92/40.15 cnf(matrix-6719, plain, ( ( hAPP(c_List_Ofilter(_u15936, _u15937), hAPP(c_List_Ofilter(_u15936, _u15938), _u15939)) = hAPP(c_List_Ofilter(_u15936, hAPP(hAPP(c_COMBS(_u15936, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u15936), c_fconj), _u15938)), _u15937)), _u15939)) )).
% 39.92/40.15 cnf(matrix-6720, plain, ( ( hAPP(c_List_Ofilter(_u15940, _u15941), c_List_Oremove1(_u15940, _u15942, _u15943)) = c_List_Oremove1(_u15940, _u15942, hAPP(c_List_Ofilter(_u15940, _u15941), _u15943))) )).
% 39.92/40.15 cnf(matrix-6721, plain, ( ( c_List_Oremove1(_u15944, _u15945, c_List_Oremove1(_u15944, _u15946, _u15947)) = c_List_Oremove1(_u15944, _u15946, c_List_Oremove1(_u15944, _u15945, _u15947))) )).
% 39.92/40.15 cnf(matrix-6722, plain, ( hBOOL(hAPP(_u15948, _u15949)) | ( c_List_Oremove1(_u15950, _u15949, hAPP(c_List_Ofilter(_u15950, _u15948), _u15951)) = hAPP(c_List_Ofilter(_u15950, _u15948), _u15951)) )).
% 39.92/40.15 cnf(matrix-6723, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u15952), _u15953)) | hBOOL(hAPP(c_List_Odistinct(_u15952), c_List_Oremove1(_u15952, _u15954, _u15953))) )).
% 39.92/40.15 cnf(matrix-6724, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u15955), _u15956)) | hBOOL(hAPP(c_List_Odistinct(_u15955), hAPP(c_List_Ofilter(_u15955, _u15957), _u15956))) )).
% 39.92/40.15 cnf(matrix-6725, plain, ( hBOOL(hAPP(hAPP(c_member(_u15958), _u15959), hAPP(c_List_Oset(_u15958), _u15960))) | ( c_List_Oremove1(_u15958, _u15959, _u15960) = _u15960) )).
% 39.92/40.15 cnf(matrix-6726, plain, ( hBOOL(hAPP(hAPP(c_member(_u15961), _u15962), hAPP(c_List_Oset(_u15961), _u15963))) | ~hBOOL(hAPP(hAPP(c_member(_u15961), _u15962), hAPP(c_List_Oset(_u15961), c_List_Oremove1(_u15961, _u15964, _u15963)))) )).
% 39.92/40.15 cnf(matrix-6727, plain, ( ( _u15965 = _u15966) | ~hBOOL(hAPP(hAPP(c_member(_u15967), _u15965), hAPP(c_List_Oset(_u15967), c_List_Oremove1(_u15967, _u15966, _u15968)))) | hBOOL(hAPP(hAPP(c_member(_u15967), _u15965), hAPP(c_List_Oset(_u15967), _u15968))) )).
% 39.92/40.15 cnf(matrix-6728, plain, ( ( _u15965 = _u15966) | ~hBOOL(hAPP(hAPP(c_member(_u15967), _u15965), hAPP(c_List_Oset(_u15967), _u15968))) | hBOOL(hAPP(hAPP(c_member(_u15967), _u15965), hAPP(c_List_Oset(_u15967), c_List_Oremove1(_u15967, _u15966, _u15968)))) )).
% 39.92/40.15 cnf(matrix-6729, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15969, tc_HOL_Obool)), hAPP(c_List_Oset(_u15969), c_List_Oremove1(_u15969, _u15970, _u15971))), hAPP(c_List_Oset(_u15969), _u15971))) )).
% 39.92/40.15 cnf(matrix-6730, plain, ( ( hAPP(c_List_Oset(_u15972), hAPP(c_List_Ofilter(_u15972, _u15973), _u15974)) = hAPP(c_Set_OCollect(_u15972), hAPP(hAPP(c_COMBS(_u15972, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u15972), c_fconj), hAPP(hAPP(c_COMBC(_u15972, tc_fun(_u15972, tc_HOL_Obool), tc_HOL_Obool), c_member(_u15972)), hAPP(c_List_Oset(_u15972), _u15974)))), _u15973))) )).
% 39.92/40.15 cnf(matrix-6731, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15975)), hAPP(c_List_Ofilter(_u15975, _u15976), hAPP(hAPP(c_List_Omap(_u15977, _u15975), _u15978), _u15979))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15977)), hAPP(c_List_Ofilter(_u15977, hAPP(c_Fun_Ocomp(_u15975, tc_HOL_Obool, _u15977, _u15976), _u15978)), _u15979))) )).
% 39.92/40.15 cnf(matrix-6732, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15980), _u15981), hAPP(c_List_Oset(_u15980), _u15982))) | hBOOL(hAPP(_u15983, _u15981)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15980)), hAPP(c_List_Ofilter(_u15980, _u15983), _u15982))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15980)), _u15982))) )).
% 39.92/40.15 cnf(matrix-6733, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u15984, tc_HOL_Obool)), hAPP(c_List_Oset(_u15984), _u15985)), hAPP(hAPP(c_Set_Oinsert(_u15984), _u15986), c_Orderings_Obot__class_Obot(tc_fun(_u15984, tc_HOL_Obool)))) = hAPP(c_List_Oset(_u15984), hAPP(c_List_Ofilter(_u15984, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u15984), c_fNot), hAPP(hAPP(c_COMBC(_u15984, _u15984, tc_HOL_Obool), c_fequal), _u15986))), _u15985))) )).
% 39.92/40.15 cnf(matrix-6734, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u15987), _u15988)) | ( hAPP(c_List_Ofilter(_u15987, hAPP(hAPP(c_COMBC(_u15987, tc_fun(_u15987, tc_HOL_Obool), tc_HOL_Obool), c_member(_u15987)), hAPP(c_List_Oset(_u15987), c_List_Osublist(_u15987, _u15988, _u15989)))), _u15988) = c_List_Osublist(_u15987, _u15988, _u15989)) )).
% 39.92/40.15 cnf(matrix-6735, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15990)), hAPP(c_List_Ofilter(_u15990, _u15991), _u15992)) = 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(_u15990)), _u15992)))), hAPP(hAPP(c_COMBB(_u15990, tc_HOL_Obool, tc_Nat_Onat), _u15991), hAPP(c_List_Onth(_u15990), _u15992)))))) )).
% 39.92/40.15 cnf(matrix-6736, 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(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15996)), _u16000)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 39.92/40.15 cnf(matrix-6737, plain, ( hBOOL(hAPP(hAPP(c_member(_u15997), _u15999), hAPP(c_List_Oset(_u15997), _u16001))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15997)), c_List_Oremove1(_u15997, _u15999, _u16001)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15997)), _u16001)) )).
% 39.92/40.15 cnf(matrix-6738, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16002), _u16003)) | ( hAPP(c_List_Oset(_u16002), c_List_Oremove1(_u16002, _u16004, _u16003)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16002, tc_HOL_Obool)), hAPP(c_List_Oset(_u16002), _u16003)), hAPP(hAPP(c_Set_Oinsert(_u16002), _u16004), c_Orderings_Obot__class_Obot(tc_fun(_u16002, tc_HOL_Obool))))) )).
% 39.92/40.15 cnf(matrix-6739, plain, ( ( c_List_Omap__filter(_u16005, _u16006, _u16007, _u16008) = hAPP(hAPP(c_List_Omap(_u16005, _u16006), hAPP(c_Fun_Ocomp(tc_Option_Ooption(_u16006), _u16006, _u16005, c_Option_Othe(_u16006)), _u16007)), hAPP(c_List_Ofilter(_u16005, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u16005), c_fNot), hAPP(hAPP(c_COMBC(_u16005, tc_Option_Ooption(_u16006), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Option_Ooption(_u16006), tc_fun(tc_Option_Ooption(_u16006), tc_HOL_Obool), _u16005), c_fequal), _u16007)), c_Option_Ooption_ONone(_u16006)))), _u16008))) )).
% 39.92/40.15 cnf(matrix-6740, plain, ( ( hAPP(hAPP(c_List_Omap(_u16009, _u16010), _u16011), hAPP(c_List_Ofilter(_u16009, _u16012), _u16013)) = c_List_Omap__filter(_u16009, _u16010, hAPP(hAPP(c_COMBC(_u16009, tc_Option_Ooption(_u16010), tc_Option_Ooption(_u16010)), hAPP(hAPP(c_COMBS(_u16009, tc_Option_Ooption(_u16010), tc_fun(tc_Option_Ooption(_u16010), tc_Option_Ooption(_u16010))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_Option_Ooption(_u16010), tc_fun(tc_Option_Ooption(_u16010), tc_Option_Ooption(_u16010))), _u16009), c_If(tc_Option_Ooption(_u16010))), _u16012)), hAPP(hAPP(c_COMBB(_u16010, tc_Option_Ooption(_u16010), _u16009), c_Option_Ooption_OSome(_u16010)), _u16011))), c_Option_Ooption_ONone(_u16010)), _u16013)) )).
% 39.92/40.15 cnf(matrix-6741, plain, ( ( hAPP(hAPP(c_Map_Omap__of(_u16014, _u16015), _u16016), _u16017) != hAPP(c_Option_Ooption_OSome(_u16015), _u16018)) | ~hBOOL(hAPP(hAPP(_u16019, _u16017), _u16018)) | ( hAPP(hAPP(c_Map_Omap__of(_u16014, _u16015), hAPP(c_List_Ofilter(tc_prod(_u16014, _u16015), hAPP(c_Product__Type_Oprod_Oprod__case(_u16014, _u16015, tc_HOL_Obool), _u16019)), _u16016)), _u16017) = hAPP(c_Option_Ooption_OSome(_u16015), _u16018)) )).
% 39.92/40.15 cnf(matrix-6742, plain, ( ( c_List_Omap__filter(_u16020, _u16021, _u16022, hAPP(hAPP(c_List_Olist_OCons(_u16020), _u16023), _u16024)) = hAPP(c_Option_Ooption_Ooption__case(tc_List_Olist(_u16021), _u16021, c_List_Omap__filter(_u16020, _u16021, _u16022, _u16024), hAPP(hAPP(c_COMBC(_u16021, tc_List_Olist(_u16021), tc_List_Olist(_u16021)), c_List_Olist_OCons(_u16021)), c_List_Omap__filter(_u16020, _u16021, _u16022, _u16024))), hAPP(_u16022, _u16023))) )).
% 39.92/40.15 cnf(matrix-6743, plain, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u16025, tc_Nat_Onat), _u16025), c_Product__Type_Ofst(_u16025, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u16025, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_prod(_u16025, tc_Nat_Onat)), _u16026), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Nat_Onat, tc_prod(_u16025, tc_Nat_Onat)), c_Nat_OSuc), c_Product__Type_Osnd(_u16025, tc_Nat_Onat)))), hAPP(hAPP(c_List_Ozip(_u16025, tc_Nat_Onat), _u16027), _u16028))) = hAPP(hAPP(c_List_Omap(tc_prod(_u16025, tc_Nat_Onat), _u16025), c_Product__Type_Ofst(_u16025, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u16025, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_prod(_u16025, tc_Nat_Onat)), _u16026), c_Product__Type_Osnd(_u16025, tc_Nat_Onat))), hAPP(hAPP(c_List_Ozip(_u16025, tc_Nat_Onat), _u16027), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_Nat_Onat), c_Nat_OSuc), _u16028))))) )).
% 39.92/40.15 cnf(matrix-6744, plain, ( ~class_Orderings_Olinorder(_u16029) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16029), _u16030)) | ( c_List_Olinorder__class_Osorted__list__of__set(_u16029, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16029, tc_HOL_Obool)), _u16030), hAPP(hAPP(c_Set_Oinsert(_u16029), _u16031), c_Orderings_Obot__class_Obot(tc_fun(_u16029, tc_HOL_Obool))))) = c_List_Oremove1(_u16029, _u16031, c_List_Olinorder__class_Osorted__list__of__set(_u16029, _u16030))) )).
% 39.92/40.15 cnf(matrix-6745, plain, ( ( c_List_Ofoldr(tc_List_Olist(_u16032), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u16032)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u16032))), c_List_Otranspose(_u16032, _u16033), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u16032))), hAPP(c_List_Ofilter(tc_List_Olist(_u16032), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u16032)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u16032), tc_List_Olist(_u16032), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u16032)))), _u16033))) )).
% 39.92/40.15 cnf(matrix-6746, plain, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16034)), c_List_Olist_ONil(_u16034)), c_List_Olists(_u16034, _u16035))) )).
% 39.92/40.15 cnf(matrix-6747, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16036), tc_List_Olist(_u16036))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16036), tc_List_Olist(_u16036)), c_List_Olist_ONil(_u16036)), _u16037)), c_List_Olistrel(_u16036, _u16038))) | ( _u16037 = c_List_Olist_ONil(_u16036)) )).
% 39.92/40.15 cnf(matrix-6748, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16039), tc_List_Olist(_u16039))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16039), tc_List_Olist(_u16039)), _u16040), c_List_Olist_ONil(_u16039))), c_List_Olistrel(_u16039, _u16041))) | ( _u16040 = c_List_Olist_ONil(_u16039)) )).
% 39.92/40.15 cnf(matrix-6749, plain, ( ( hAPP(c_List_Ofilter(_u16047, _u16049), _u16051) != c_List_Olist_ONil(_u16047)) | ~hBOOL(hAPP(hAPP(c_member(_u16047), _u16042), hAPP(c_List_Oset(_u16047), _u16051))) | ~hBOOL(hAPP(_u16049, _u16042)) )).
% 39.92/40.15 cnf(matrix-6750, plain, ( ( hAPP(c_List_Ofilter(_u16048, _u16050), _u16052) = c_List_Olist_ONil(_u16048)) | hBOOL(hAPP(hAPP(c_member(_u16048), skolem385(_u16052, _u16050, _u16048)), hAPP(c_List_Oset(_u16048), _u16052))) )).
% 39.92/40.15 cnf(matrix-6751, plain, ( ( hAPP(c_List_Ofilter(_u16048, _u16050), _u16052) = c_List_Olist_ONil(_u16048)) | hBOOL(hAPP(_u16050, skolem385(_u16052, _u16050, _u16048))) )).
% 39.92/40.15 cnf(matrix-6752, plain, ( ( hAPP(c_List_Ofilter(_u16053, _u16054), c_List_Olist_ONil(_u16053)) = c_List_Olist_ONil(_u16053)) )).
% 39.92/40.15 cnf(matrix-6753, plain, ( ( c_List_Omap__filter(_u16055, _u16056, _u16057, c_List_Olist_ONil(_u16055)) = c_List_Olist_ONil(_u16056)) )).
% 39.92/40.15 cnf(matrix-6754, plain, ( ( c_List_Otranspose(_u16058, c_List_Olist_ONil(tc_List_Olist(_u16058))) = c_List_Olist_ONil(tc_List_Olist(_u16058))) )).
% 39.92/40.15 cnf(matrix-6755, plain, ( ( c_List_Ofoldr(_u16059, _u16060, _u16061, c_List_Olist_ONil(_u16059), _u16062) = _u16062) )).
% 39.92/40.15 cnf(matrix-6756, plain, ( ( c_List_Otranspose(_u16063, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u16063)), c_List_Olist_ONil(_u16063)), _u16064)) = c_List_Otranspose(_u16063, _u16064)) )).
% 39.92/40.15 cnf(matrix-6757, plain, ( ( c_List_Otranspose(_u16069, _u16071) != c_List_Olist_ONil(tc_List_Olist(_u16069))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16069)), _u16065), hAPP(c_List_Oset(tc_List_Olist(_u16069)), _u16071))) | ( _u16065 = c_List_Olist_ONil(_u16069)) )).
% 39.92/40.15 cnf(matrix-6758, plain, ( ( c_List_Otranspose(_u16070, _u16072) = c_List_Olist_ONil(tc_List_Olist(_u16070))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16070)), skolem386(_u16072, _u16070)), hAPP(c_List_Oset(tc_List_Olist(_u16070)), _u16072))) )).
% 39.92/40.15 cnf(matrix-6759, plain, ( ( c_List_Otranspose(_u16070, _u16072) = c_List_Olist_ONil(tc_List_Olist(_u16070))) | ( skolem386(_u16072, _u16070) != c_List_Olist_ONil(_u16070)) )).
% 39.92/40.15 cnf(matrix-6760, plain, ( ~class_Groups_Omonoid__add(_u16073) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u16073), c_List_Olist_ONil(_u16073)) = c_Groups_Ozero__class_Ozero(_u16073)) )).
% 39.92/40.15 cnf(matrix-6761, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16074)), c_List_Olist_ONil(_u16074)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.92/40.15 cnf(matrix-6762, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16077)), _u16079) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u16079 = c_List_Olist_ONil(_u16077)) )).
% 39.92/40.15 cnf(matrix-6763, plain, ( ( _u16080 != c_List_Olist_ONil(_u16078)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16078)), _u16080) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.92/40.15 cnf(matrix-6764, plain, ( ( hAPP(c_List_Oset(_u16083), _u16085) != c_Orderings_Obot__class_Obot(tc_fun(_u16083, tc_HOL_Obool))) | ( _u16085 = c_List_Olist_ONil(_u16083)) )).
% 39.92/40.15 cnf(matrix-6765, plain, ( ( _u16086 != c_List_Olist_ONil(_u16084)) | ( hAPP(c_List_Oset(_u16084), _u16086) = c_Orderings_Obot__class_Obot(tc_fun(_u16084, tc_HOL_Obool))) )).
% 39.92/40.15 cnf(matrix-6766, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u16089, tc_HOL_Obool)) != hAPP(c_List_Oset(_u16089), _u16091)) | ( _u16091 = c_List_Olist_ONil(_u16089)) )).
% 39.92/40.15 cnf(matrix-6767, plain, ( ( _u16092 != c_List_Olist_ONil(_u16090)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u16090, tc_HOL_Obool)) = hAPP(c_List_Oset(_u16090), _u16092)) )).
% 39.92/40.15 cnf(matrix-6768, plain, ( ( hAPP(c_List_Oset(_u16093), c_List_Olist_ONil(_u16093)) = c_Orderings_Obot__class_Obot(tc_fun(_u16093, tc_HOL_Obool))) )).
% 39.92/40.15 cnf(matrix-6769, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u16094, c_List_Olist_ONil(_u16094)), _u16095), _u16096) = c_List_Olist_ONil(_u16094)) )).
% 39.92/40.15 cnf(matrix-6770, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u16097, c_List_Olist_ONil(_u16097)), _u16098), _u16099) = c_List_Olist_ONil(_u16097)) )).
% 39.92/40.15 cnf(matrix-6771, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u16104, _u16106), _u16108), _u16110) != c_List_Olist_ONil(_u16104)) | ( _u16106 = c_List_Olist_ONil(_u16104)) )).
% 39.92/40.15 cnf(matrix-6772, plain, ( ( _u16107 != c_List_Olist_ONil(_u16105)) | ( hAPP(hAPP(c_List_Olist__update(_u16105, _u16107), _u16109), _u16111) = c_List_Olist_ONil(_u16105)) )).
% 39.92/40.15 cnf(matrix-6773, plain, ( ( c_List_Olist_Olist__size(_u16112, _u16113, c_List_Olist_ONil(_u16112)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.92/40.15 cnf(matrix-6774, plain, ( ( hAPP(hAPP(c_List_Otake(_u16114), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u16115) = c_List_Olist_ONil(_u16114)) )).
% 39.92/40.15 cnf(matrix-6775, plain, ( ( hAPP(hAPP(c_List_Otake(_u16119), _u16121), _u16123) != c_List_Olist_ONil(_u16119)) | ( _u16121 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u16123 = c_List_Olist_ONil(_u16119)) )).
% 39.92/40.15 cnf(matrix-6776, plain, ( ( hAPP(hAPP(c_List_Otake(_u16120), _u16122), _u16124) = c_List_Olist_ONil(_u16120)) | ( _u16122 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.92/40.15 cnf(matrix-6777, plain, ( ( hAPP(hAPP(c_List_Otake(_u16120), _u16122), _u16124) = c_List_Olist_ONil(_u16120)) | ( _u16124 != c_List_Olist_ONil(_u16120)) )).
% 39.92/40.15 cnf(matrix-6778, plain, ( ( hAPP(hAPP(c_List_Otake(_u16125), _u16126), c_List_Olist_ONil(_u16125)) = c_List_Olist_ONil(_u16125)) )).
% 39.92/40.15 cnf(matrix-6779, plain, ( ( c_Map_Omap__upds(_u16127, _u16128, _u16129, _u16130, c_List_Olist_ONil(_u16128)) = _u16129) )).
% 39.92/40.15 cnf(matrix-6780, plain, ( ( c_Map_Omap__upds(_u16131, _u16132, _u16133, c_List_Olist_ONil(_u16131), _u16134) = _u16133) )).
% 39.92/40.15 cnf(matrix-6781, plain, ( ( c_Enum_On__lists(_u16135, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u16136) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u16135)), c_List_Olist_ONil(_u16135)), c_List_Olist_ONil(tc_List_Olist(_u16135)))) )).
% 39.92/40.15 cnf(matrix-6782, plain, ( ( _u16139 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Enum_On__lists(_u16141, _u16139, c_List_Olist_ONil(_u16141)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u16141)), c_List_Olist_ONil(_u16141)), c_List_Olist_ONil(tc_List_Olist(_u16141)))) )).
% 39.92/40.15 cnf(matrix-6783, plain, ( ( _u16140 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Enum_On__lists(_u16142, _u16140, c_List_Olist_ONil(_u16142)) = c_List_Olist_ONil(tc_List_Olist(_u16142))) )).
% 39.92/40.15 cnf(matrix-6784, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u16143), _u16144), _u16145) != c_List_Olist_ONil(_u16143)) )).
% 39.92/40.15 cnf(matrix-6785, plain, ( ( c_List_Olist_ONil(_u16146) != hAPP(hAPP(c_List_Olist_OCons(_u16146), _u16147), _u16148)) )).
% 39.92/40.15 cnf(matrix-6786, plain, ( ( c_Enum_Osublists(_u16149, c_List_Olist_ONil(_u16149)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u16149)), c_List_Olist_ONil(_u16149)), c_List_Olist_ONil(tc_List_Olist(_u16149)))) )).
% 39.92/40.15 cnf(matrix-6787, plain, ( ( hAPP(hAPP(c_List_Ozip(_u16150, _u16151), _u16152), c_List_Olist_ONil(_u16151)) = c_List_Olist_ONil(tc_prod(_u16150, _u16151))) )).
% 39.92/40.15 cnf(matrix-6788, plain, ( ( hAPP(hAPP(c_List_Ozip(_u16153, _u16154), c_List_Olist_ONil(_u16153)), _u16155) = c_List_Olist_ONil(tc_prod(_u16153, _u16154))) )).
% 39.92/40.15 cnf(matrix-6789, plain, ( ~class_Orderings_Olinorder(_u16156) | ( c_List_Olinorder__class_Osorted__list__of__set(_u16156, c_Orderings_Obot__class_Obot(tc_fun(_u16156, tc_HOL_Obool))) = c_List_Olist_ONil(_u16156)) )).
% 39.92/40.15 cnf(matrix-6790, plain, ( ( c_List_Osublist(_u16157, c_List_Olist_ONil(_u16157), _u16158) = c_List_Olist_ONil(_u16157)) )).
% 39.92/40.15 cnf(matrix-6791, plain, ( ( c_Enum_Oproduct(_u16159, _u16160, c_List_Olist_ONil(_u16159), _u16161) = c_List_Olist_ONil(tc_prod(_u16159, _u16160))) )).
% 39.92/40.15 cnf(matrix-6792, plain, ( c_List_Olistrelp(_u16162, _u16163, c_List_Olist_ONil(_u16162), c_List_Olist_ONil(_u16162)) )).
% 39.92/40.15 cnf(matrix-6793, plain, ( c_List_Olistrelp(_u16164, _u16165, c_List_Olist_ONil(_u16164), c_List_Olist_ONil(_u16164)) )).
% 39.92/40.15 cnf(matrix-6794, plain, ( hBOOL(hAPP(c_List_Odistinct(_u16166), c_List_Olist_ONil(_u16166))) )).
% 39.92/40.15 cnf(matrix-6795, plain, ( ( hAPP(hAPP(c_Map_Omap__of(_u16167, _u16168), c_List_Olist_ONil(tc_prod(_u16167, _u16168))), _u16169) = c_Option_Ooption_ONone(_u16168)) )).
% 39.92/40.15 cnf(matrix-6796, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u16170), _u16171)) | ( c_List_Oupto(_u16171, _u16170) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 39.92/40.15 cnf(matrix-6797, plain, ( ( _u16172 = c_List_Olist_ONil(_u16173)) | ~hBOOL(hAPP(c_List_Odistinct(_u16173), _u16172)) | hBOOL(hAPP(c_List_Odistinct(_u16173), c_List_Obutlast(_u16173, _u16172))) )).
% 39.92/40.15 cnf(matrix-6798, plain, ( ( c_List_Obutlast(_u16174, c_List_Olist_ONil(_u16174)) = c_List_Olist_ONil(_u16174)) )).
% 39.92/40.15 cnf(matrix-6799, plain, ( ( _u16178 != c_List_Olist_ONil(_u16180)) | ( c_List_Obutlast(_u16180, hAPP(hAPP(c_List_Olist_OCons(_u16180), _u16182), _u16178)) = c_List_Olist_ONil(_u16180)) )).
% 39.92/40.15 cnf(matrix-6800, plain, ( ( _u16179 = c_List_Olist_ONil(_u16181)) | ( c_List_Obutlast(_u16181, hAPP(hAPP(c_List_Olist_OCons(_u16181), _u16183), _u16179)) = hAPP(hAPP(c_List_Olist_OCons(_u16181), _u16183), c_List_Obutlast(_u16181, _u16179))) )).
% 39.92/40.15 cnf(matrix-6801, plain, ( ( c_List_Oremove1(_u16184, _u16185, c_List_Olist_ONil(_u16184)) = c_List_Olist_ONil(_u16184)) )).
% 39.92/40.15 cnf(matrix-6802, plain, ( ( hAPP(hAPP(c_List_Omap(_u16190, _u16192), _u16194), _u16196) != c_List_Olist_ONil(_u16192)) | ( _u16196 = c_List_Olist_ONil(_u16190)) )).
% 39.92/40.15 cnf(matrix-6803, plain, ( ( _u16197 != c_List_Olist_ONil(_u16191)) | ( hAPP(hAPP(c_List_Omap(_u16191, _u16193), _u16195), _u16197) = c_List_Olist_ONil(_u16193)) )).
% 39.92/40.15 cnf(matrix-6804, plain, ( ( hAPP(hAPP(c_List_Omap(_u16198, _u16199), _u16200), c_List_Olist_ONil(_u16198)) = c_List_Olist_ONil(_u16199)) )).
% 39.92/40.15 cnf(matrix-6805, plain, ( ( _u16211 = c_List_Olist_ONil(_u16207)) | ( c_List_Olist_ONil(_u16205) != hAPP(hAPP(c_List_Omap(_u16207, _u16205), _u16209), _u16211)) )).
% 39.92/40.15 cnf(matrix-6806, plain, ( ( _u16212 != c_List_Olist_ONil(_u16208)) | ( c_List_Olist_ONil(_u16206) = hAPP(hAPP(c_List_Omap(_u16208, _u16206), _u16210), _u16212)) )).
% 39.92/40.15 cnf(matrix-6807, plain, ( ( c_List_Osublist(_u16213, _u16214, c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) = c_List_Olist_ONil(_u16213)) )).
% 39.92/40.15 cnf(matrix-6808, plain, ( ( hAPP(hAPP(c_Map_Omap__of(_u16215, _u16216), c_List_Olist_ONil(tc_prod(_u16215, _u16216))), _u16217) = c_Option_Ooption_ONone(_u16216)) )).
% 39.92/40.15 cnf(matrix-6809, 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(_u16220)), _u16222))) | ( _u16222 != c_List_Olist_ONil(_u16220)) )).
% 39.92/40.15 cnf(matrix-6810, plain, ( ( _u16223 = c_List_Olist_ONil(_u16221)) | 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(_u16221)), _u16223))) )).
% 39.92/40.15 cnf(matrix-6811, plain, ( ( hAPP(hAPP(c_List_Otake(_u16224), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(hAPP(c_List_Olist_OCons(_u16224), _u16225), _u16226)) = hAPP(hAPP(c_List_Olist_OCons(_u16224), _u16225), c_List_Olist_ONil(_u16224))) )).
% 39.92/40.15 cnf(matrix-6812, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16227), tc_List_Olist(_u16227))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16227), tc_List_Olist(_u16227)), c_List_Olist_ONil(_u16227)), _u16228)), c_List_Olistrel1(_u16227, _u16229))) )).
% 39.92/40.15 cnf(matrix-6813, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16230), tc_List_Olist(_u16230))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16230), tc_List_Olist(_u16230)), _u16231), c_List_Olist_ONil(_u16230))), c_List_Olistrel1(_u16230, _u16232))) )).
% 39.92/40.15 cnf(matrix-6814, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16233), tc_List_Olist(_u16233))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16233), tc_List_Olist(_u16233)), c_List_Olist_ONil(_u16233)), c_List_Olist_ONil(_u16233))), c_List_Olistrel(_u16233, _u16234))) )).
% 39.92/40.15 cnf(matrix-6815, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16235), tc_List_Olist(_u16235))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16235), tc_List_Olist(_u16235)), _u16236), c_List_Olist_ONil(_u16235))), c_List_Olexord(_u16235, _u16237))) )).
% 39.92/40.15 cnf(matrix-6816, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16238), tc_List_Olist(_u16238))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16238), tc_List_Olist(_u16238)), c_List_Olist_ONil(_u16238)), _u16239)), c_List_Olex(_u16238, _u16240))) )).
% 39.92/40.15 cnf(matrix-6817, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16241), tc_List_Olist(_u16241))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16241), tc_List_Olist(_u16241)), _u16242), c_List_Olist_ONil(_u16241))), c_List_Olex(_u16241, _u16243))) )).
% 39.92/40.15 cnf(matrix-6818, plain, ( ( hAPP(hAPP(c_List_Otake(_u16244), _u16245), hAPP(hAPP(c_List_Olist_OCons(_u16244), _u16246), _u16247)) = c_Nat_Onat_Onat__case(tc_List_Olist(_u16244), c_List_Olist_ONil(_u16244), hAPP(hAPP(c_COMBB(tc_List_Olist(_u16244), tc_List_Olist(_u16244), tc_Nat_Onat), hAPP(c_List_Olist_OCons(_u16244), _u16246)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(_u16244), tc_List_Olist(_u16244)), c_List_Otake(_u16244)), _u16247)), _u16245)) )).
% 39.92/40.15 cnf(matrix-6819, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u16250), _u16252)) | ( c_List_Oupto(_u16250, _u16252) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint), _u16250), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u16250), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u16252))) )).
% 39.92/40.15 cnf(matrix-6820, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u16251), _u16253)) | ( c_List_Oupto(_u16251, _u16253) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 39.92/40.15 cnf(matrix-6821, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u16257)) | ( c_List_Osublist(_u16259, hAPP(hAPP(c_List_Olist_OCons(_u16259), _u16261), c_List_Olist_ONil(_u16259)), _u16257) = hAPP(hAPP(c_List_Olist_OCons(_u16259), _u16261), c_List_Olist_ONil(_u16259))) )).
% 39.92/40.15 cnf(matrix-6822, plain, ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u16258)) | ( c_List_Osublist(_u16260, hAPP(hAPP(c_List_Olist_OCons(_u16260), _u16262), c_List_Olist_ONil(_u16260)), _u16258) = c_List_Olist_ONil(_u16260)) )).
% 39.92/40.15 cnf(matrix-6823, plain, ( ( c_List_Olists(_u16263, c_Orderings_Obot__class_Obot(tc_fun(_u16263, tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u16263)), c_List_Olist_ONil(_u16263)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u16263), tc_HOL_Obool)))) )).
% 39.92/40.15 cnf(matrix-6824, plain, ( ( _u16268 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u16270), _u16268), hAPP(hAPP(c_List_Olist_OCons(_u16270), _u16272), _u16274)) = c_List_Olist_ONil(_u16270)) )).
% 39.92/40.15 cnf(matrix-6825, plain, ( ( _u16269 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u16271), _u16269), hAPP(hAPP(c_List_Olist_OCons(_u16271), _u16273), _u16275)) = hAPP(hAPP(c_List_Olist_OCons(_u16271), _u16273), hAPP(hAPP(c_List_Otake(_u16271), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16269), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u16275))) )).
% 39.92/40.15 cnf(matrix-6826, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u16278)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u16280))) | ( c_List_Oupto(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u16278), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u16280)) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u16278)), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u16278)), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u16280)))) )).
% 39.92/40.15 cnf(matrix-6827, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u16279)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u16281))) | ( c_List_Oupto(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u16279), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u16281)) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 39.92/40.15 cnf(matrix-6828, plain, ( ( hAPP(c_Relation_OImage(tc_List_Olist(_u16282), tc_List_Olist(_u16282), c_List_Olistrel(_u16282, _u16283)), hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u16282)), c_List_Olist_ONil(_u16282)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u16282), tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u16282)), c_List_Olist_ONil(_u16282)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u16282), tc_HOL_Obool)))) )).
% 39.92/40.15 cnf(matrix-6829, plain, ( ( c_List_Oset__Cons(_u16284, _u16285, hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u16284)), c_List_Olist_ONil(_u16284)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u16284), tc_HOL_Obool)))) = hAPP(c_Set_Oimage(_u16284, tc_List_Olist(_u16284), hAPP(hAPP(c_COMBC(_u16284, tc_List_Olist(_u16284), tc_List_Olist(_u16284)), c_List_Olist_OCons(_u16284)), c_List_Olist_ONil(_u16284))), _u16285)) )).
% 39.92/40.15 cnf(matrix-6830, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16290) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u16292), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16290)), hAPP(hAPP(c_List_Olist_OCons(_u16292), _u16294), _u16296)) = c_List_Olist_ONil(_u16292)) )).
% 39.92/40.15 cnf(matrix-6831, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16291) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u16293), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16291)), hAPP(hAPP(c_List_Olist_OCons(_u16293), _u16295), _u16297)) = hAPP(hAPP(c_List_Olist_OCons(_u16293), _u16295), hAPP(hAPP(c_List_Otake(_u16293), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16291)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u16297))) )).
% 39.92/40.15 cnf(matrix-6832, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Nat_OSuc, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16298)), _u16299))), c_List_Ofoldr(tc_List_Olist(_u16300), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u16300)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u16300))), _u16301, 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(_u16298)), _u16299)), c_List_Ofoldr(tc_List_Olist(_u16300), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u16300)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u16300), tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u16300)), c_Groups_Ominus__class_Ominus(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u16300)))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), hAPP(c_List_Ofilter(tc_List_Olist(_u16300), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u16300)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u16300), tc_List_Olist(_u16300), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u16300)))), _u16301), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) )).
% 39.92/40.15 cnf(matrix-6833, 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), _u16302), _u16303))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u16302), _u16303)) | ( c_List_Oupto(_u16302, _u16303) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint), _u16302), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u16302), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u16303))) )).
% 39.92/40.15 cnf(matrix-6834, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_List_Oupto__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u16302), _u16303))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u16302), _u16303)) | ( c_List_Oupto(_u16302, _u16303) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 39.92/40.15 cnf(matrix-6835, plain, ( ( c_List_Osublist(_u16304, _u16305, _u16306) = hAPP(hAPP(c_List_Omap(tc_prod(_u16304, tc_Nat_Onat), _u16304), c_Product__Type_Ofst(_u16304, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u16304, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_prod(_u16304, 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(_u16304, tc_Nat_Onat)), c_member(tc_Nat_Onat)), c_Product__Type_Osnd(_u16304, tc_Nat_Onat))), _u16306)), hAPP(hAPP(c_List_Ozip(_u16304, tc_Nat_Onat), _u16305), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16304)), _u16305)))))) )).
% 39.92/40.15 cnf(matrix-6836, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16309), _u16311)) | ( c_List_Oupt(_u16309, _u16311) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u16309), c_List_Oupt(hAPP(c_Nat_OSuc, _u16309), _u16311))) )).
% 39.92/40.15 cnf(matrix-6837, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16310), _u16312)) | ( c_List_Oupt(_u16310, _u16312) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 39.92/40.15 cnf(matrix-6838, plain, ( ( c_List_Oupt(_u16313, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 39.92/40.15 cnf(matrix-6839, plain, ( ( c_List_Olinorder__class_Osorted__list__of__set(tc_Nat_Onat, hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u16314), _u16315)) = c_List_Oupt(_u16314, _u16315)) )).
% 39.92/40.15 cnf(matrix-6840, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16316), _u16317)) | ( c_List_Oupt(_u16317, _u16316) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 39.92/40.15 cnf(matrix-6841, plain, ( ( c_List_Oupt(_u16320, _u16322) != c_List_Olist_ONil(tc_Nat_Onat)) | ( _u16322 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16322), _u16320)) )).
% 39.92/40.15 cnf(matrix-6842, plain, ( ( c_List_Oupt(_u16321, _u16323) = c_List_Olist_ONil(tc_Nat_Onat)) | ( _u16323 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.92/40.15 cnf(matrix-6843, plain, ( ( c_List_Oupt(_u16321, _u16323) = c_List_Olist_ONil(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16323), _u16321)) )).
% 39.92/40.15 cnf(matrix-6844, plain, ( hBOOL(hAPP(c_List_Odistinct(tc_Nat_Onat), c_List_Oupt(_u16324, _u16325))) )).
% 39.92/40.15 cnf(matrix-6845, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16326), _u16327)) | ( c_List_Oupt(_u16326, _u16327) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u16326), c_List_Oupt(hAPP(c_Nat_OSuc, _u16326), _u16327))) )).
% 39.92/40.15 cnf(matrix-6846, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16328), _u16329)), _u16330)) | ( hAPP(hAPP(c_List_Otake(tc_Nat_Onat), _u16329), c_List_Oupt(_u16328, _u16330)) = c_List_Oupt(_u16328, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16328), _u16329))) )).
% 39.92/40.15 cnf(matrix-6847, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u16331), _u16332) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u16331, _u16332))) )).
% 39.92/40.15 cnf(matrix-6848, plain, ( ( hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u16333, _u16334)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u16333), _u16334)) )).
% 39.92/40.15 cnf(matrix-6849, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)), c_List_Oupt(_u16335, _u16336)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16336), _u16335)) )).
% 39.92/40.15 cnf(matrix-6850, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16339)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16341))) | ( c_List_Oupt(hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16339), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16341)) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16339)), c_List_Oupt(hAPP(c_Nat_OSuc, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16339)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16341)))) )).
% 39.92/40.15 cnf(matrix-6851, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16340)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16342))) | ( c_List_Oupt(hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16340), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16342)) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 39.92/40.15 cnf(matrix-6852, plain, ( ( c_List_Oupt(_u16347, _u16349) != hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u16351), _u16353)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16347), _u16349)) )).
% 39.92/40.15 cnf(matrix-6853, plain, ( ( c_List_Oupt(_u16347, _u16349) != hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u16351), _u16353)) | ( _u16347 = _u16351) )).
% 39.92/40.15 cnf(matrix-6854, plain, ( ( c_List_Oupt(_u16347, _u16349) != hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u16351), _u16353)) | ( c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16347), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u16349) = _u16353) )).
% 39.92/40.15 cnf(matrix-6855, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16348), _u16350)) | ( _u16348 != _u16352) | ( c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16348), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u16350) != _u16354) | ( c_List_Oupt(_u16348, _u16350) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u16352), _u16354)) )).
% 39.92/40.15 cnf(matrix-6856, plain, ( ( hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_Nat_Onat), c_Nat_OSuc), c_List_Oupt(_u16355, _u16356)) = c_List_Oupt(hAPP(c_Nat_OSuc, _u16355), hAPP(c_Nat_OSuc, _u16356))) )).
% 39.92/40.15 cnf(matrix-6857, plain, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u16357, _u16358) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u16357, hAPP(c_Nat_OSuc, _u16358)))) )).
% 39.92/40.15 cnf(matrix-6858, plain, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u16359) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u16359))) )).
% 39.92/40.15 cnf(matrix-6859, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16360), _u16361)), _u16362)) | ( hAPP(hAPP(c_List_Onth(tc_Nat_Onat), c_List_Oupt(_u16360, _u16362)), _u16361) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16360), _u16361)) )).
% 39.92/40.15 cnf(matrix-6860, plain, ( ( c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u16363, _u16364) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(hAPP(c_Nat_OSuc, _u16363), hAPP(c_Nat_OSuc, _u16364)))) )).
% 39.92/40.15 cnf(matrix-6861, plain, ( ( c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u16365, _u16366) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(hAPP(c_Nat_OSuc, _u16365), _u16366))) )).
% 39.92/40.15 cnf(matrix-6862, plain, ( ( hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u16367) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u16367)))) )).
% 39.92/40.15 cnf(matrix-6863, plain, ( ( hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u16368), hAPP(c_List_Onth(_u16368), _u16369)), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16368)), _u16369))) = _u16369) )).
% 39.92/40.15 cnf(matrix-6864, plain, ( ~class_Groups_Ocomm__monoid__add(_u16370) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u16370), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u16370), _u16371), c_List_Oupt(_u16372, _u16373))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u16370), _u16371), hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u16372, _u16373)))) )).
% 39.92/40.15 cnf(matrix-6865, plain, ( ~class_Groups_Ocomm__monoid__add(_u16374) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u16374), _u16375), hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u16376, _u16377))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u16374), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u16374), _u16375), c_List_Oupt(_u16376, _u16377)))) )).
% 39.92/40.15 cnf(matrix-6866, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16378), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16379), _u16380))) | ( hAPP(hAPP(c_List_Onth(_u16381), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u16381), _u16382), c_List_Oupt(_u16380, _u16379))), _u16378) = hAPP(_u16382, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16380), _u16378))) )).
% 39.92/40.15 cnf(matrix-6867, plain, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u16383, tc_Nat_Onat), _u16383), c_Product__Type_Ofst(_u16383, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u16383, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_prod(_u16383, 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(_u16383, tc_Nat_Onat)), c_member(tc_Nat_Onat)), c_Product__Type_Osnd(_u16383, tc_Nat_Onat))), _u16384)), hAPP(hAPP(c_List_Ozip(_u16383, tc_Nat_Onat), _u16385), c_List_Oupt(_u16386, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16386), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16383)), _u16385)))))) = hAPP(hAPP(c_List_Omap(tc_prod(_u16383, tc_Nat_Onat), _u16383), c_Product__Type_Ofst(_u16383, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u16383, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_prod(_u16383, 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(_u16383, tc_Nat_Onat)), c_member(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(tc_prod(_u16383, 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(_u16383, tc_Nat_Onat)), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), c_Product__Type_Osnd(_u16383, tc_Nat_Onat))), _u16386))), _u16384)), hAPP(hAPP(c_List_Ozip(_u16383, tc_Nat_Onat), _u16385), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16383)), _u16385)))))) )).
% 39.92/40.15 cnf(matrix-6868, plain, ( ( _u16388 = c_List_Olist_ONil(tc_List_Olist(_u16389))) | ( c_List_Otranspose(_u16389, _u16388) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u16389)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u16389)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u16389), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u16389)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u16389)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u16389), hAPP(hAPP(c_COMBB(tc_List_Olist(_u16389), tc_fun(tc_Nat_Onat, _u16389), tc_Nat_Onat), c_List_Onth(_u16389)), hAPP(c_List_Onth(tc_List_Olist(_u16389)), _u16388))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u16389))), _u16388)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u16390))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem387(_u16390, _u16389, _u16388)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u16389))), _u16388))) )).
% 39.92/40.15 cnf(matrix-6869, plain, ( ( _u16388 = c_List_Olist_ONil(tc_List_Olist(_u16389))) | ( c_List_Otranspose(_u16389, _u16388) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u16389)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u16389)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u16389), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u16389)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u16389)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u16389), hAPP(hAPP(c_COMBB(tc_List_Olist(_u16389), tc_fun(tc_Nat_Onat, _u16389), tc_Nat_Onat), c_List_Onth(_u16389)), hAPP(c_List_Onth(tc_List_Olist(_u16389)), _u16388))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u16389))), _u16388)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u16390))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16389)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u16389)), _u16388), skolem387(_u16390, _u16389, _u16388))) != _u16390) )).
% 39.92/40.15 cnf(matrix-6870, plain, ( ( _u16390 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Otranspose(_u16389, _u16388) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u16389)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u16389)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u16389), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u16389)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u16389)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u16389), hAPP(hAPP(c_COMBB(tc_List_Olist(_u16389), tc_fun(tc_Nat_Onat, _u16389), tc_Nat_Onat), c_List_Onth(_u16389)), hAPP(c_List_Onth(tc_List_Olist(_u16389)), _u16388))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u16389))), _u16388)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u16390))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem387(_u16390, _u16389, _u16388)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u16389))), _u16388))) )).
% 39.92/40.15 cnf(matrix-6871, plain, ( ( _u16390 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Otranspose(_u16389, _u16388) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u16389)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u16389)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u16389), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u16389)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u16389)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u16389), hAPP(hAPP(c_COMBB(tc_List_Olist(_u16389), tc_fun(tc_Nat_Onat, _u16389), tc_Nat_Onat), c_List_Onth(_u16389)), hAPP(c_List_Onth(tc_List_Olist(_u16389)), _u16388))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u16389))), _u16388)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u16390))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16389)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u16389)), _u16388), skolem387(_u16390, _u16389, _u16388))) != _u16390) )).
% 39.92/40.15 cnf(matrix-6872, plain, ( ( _u16396 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(hAPP(c_Lazy__Sequence_Oanamorph(_u16398, _u16400, _u16402), _u16396), _u16404) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16400), _u16398), c_List_Olist_ONil(_u16400)), _u16404)) )).
% 39.92/40.15 cnf(matrix-6873, plain, ( ( _u16397 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(hAPP(c_Lazy__Sequence_Oanamorph(_u16399, _u16401, _u16403), _u16397), _u16405) = hAPP(c_Option_Ooption_Ooption__case(tc_prod(tc_List_Olist(_u16401), _u16399), tc_prod(_u16401, _u16399), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16401), _u16399), c_List_Olist_ONil(_u16401)), _u16405), hAPP(c_Product__Type_Oprod_Oprod__case(_u16401, _u16399, tc_prod(tc_List_Olist(_u16401), _u16399)), hAPP(hAPP(c_COMBC(_u16401, tc_fun(_u16399, tc_prod(tc_List_Olist(_u16401), _u16399)), tc_fun(_u16399, tc_prod(tc_List_Olist(_u16401), _u16399))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_List_Olist(_u16401), _u16399), tc_prod(tc_List_Olist(_u16401), _u16399)), tc_fun(tc_fun(_u16399, tc_prod(tc_List_Olist(_u16401), _u16399)), tc_fun(_u16399, tc_prod(tc_List_Olist(_u16401), _u16399))), _u16401), c_COMBB(tc_prod(tc_List_Olist(_u16401), _u16399), tc_prod(tc_List_Olist(_u16401), _u16399), _u16399)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u16401), tc_fun(_u16399, tc_prod(tc_List_Olist(_u16401), _u16399))), tc_fun(tc_prod(tc_List_Olist(_u16401), _u16399), tc_prod(tc_List_Olist(_u16401), _u16399)), _u16401), c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u16401), _u16399, tc_prod(tc_List_Olist(_u16401), _u16399))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u16401), tc_List_Olist(_u16401)), tc_fun(tc_List_Olist(_u16401), tc_fun(_u16399, tc_prod(tc_List_Olist(_u16401), _u16399))), _u16401), hAPP(c_COMBB(tc_List_Olist(_u16401), tc_fun(_u16399, tc_prod(tc_List_Olist(_u16401), _u16399)), tc_List_Olist(_u16401)), c_Product__Type_OPair(tc_List_Olist(_u16401), _u16399))), c_List_Olist_OCons(_u16401))))), hAPP(c_Lazy__Sequence_Oanamorph(_u16399, _u16401, _u16403), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u16397), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)))))), hAPP(_u16403, _u16405))) )).
% 39.92/40.15 cnf(matrix-6874, plain, ( ( c_List_Olistset(_u16406, c_List_Olist_ONil(tc_fun(_u16406, tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u16406)), c_List_Olist_ONil(_u16406)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u16406), tc_HOL_Obool)))) )).
% 39.92/40.15 cnf(matrix-6875, plain, ( ( hAPP(hAPP(c_List_Ozip(_u16407, _u16408), _u16409), hAPP(hAPP(c_List_Olist_OCons(_u16408), _u16410), _u16411)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(_u16407, _u16408)), _u16407, c_List_Olist_ONil(tc_prod(_u16407, _u16408)), hAPP(hAPP(c_COMBC(_u16407, tc_fun(tc_List_Olist(_u16407), tc_List_Olist(tc_prod(_u16407, _u16408))), tc_fun(tc_List_Olist(_u16407), tc_List_Olist(tc_prod(_u16407, _u16408)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(_u16407, _u16408)), tc_List_Olist(tc_prod(_u16407, _u16408))), tc_fun(tc_fun(tc_List_Olist(_u16407), tc_List_Olist(tc_prod(_u16407, _u16408))), tc_fun(tc_List_Olist(_u16407), tc_List_Olist(tc_prod(_u16407, _u16408)))), _u16407), c_COMBB(tc_List_Olist(tc_prod(_u16407, _u16408)), tc_List_Olist(tc_prod(_u16407, _u16408)), tc_List_Olist(_u16407))), hAPP(hAPP(c_COMBB(tc_prod(_u16407, _u16408), tc_fun(tc_List_Olist(tc_prod(_u16407, _u16408)), tc_List_Olist(tc_prod(_u16407, _u16408))), _u16407), c_List_Olist_OCons(tc_prod(_u16407, _u16408))), hAPP(hAPP(c_COMBC(_u16407, _u16408, tc_prod(_u16407, _u16408)), c_Product__Type_OPair(_u16407, _u16408)), _u16410)))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u16407), tc_List_Olist(_u16408), tc_List_Olist(tc_prod(_u16407, _u16408))), c_List_Ozip(_u16407, _u16408)), _u16411))), _u16409)) )).
% 39.92/40.15 cnf(matrix-6876, plain, ( ( hAPP(c_List_Olist_Olist__case(_u16412, _u16413, _u16414, _u16415), hAPP(hAPP(c_List_Olist_OCons(_u16413), _u16416), _u16417)) = hAPP(hAPP(_u16415, _u16416), _u16417)) )).
% 39.92/40.15 cnf(matrix-6877, plain, ( ( hAPP(c_List_Olist_Olist__case(_u16418, _u16419, _u16420, _u16421), c_List_Olist_ONil(_u16419)) = _u16420) )).
% 39.92/40.15 cnf(matrix-6878, plain, ( ( c_List_Olistset(_u16422, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u16422, tc_HOL_Obool)), _u16423), _u16424)) = c_List_Oset__Cons(_u16422, _u16423, c_List_Olistset(_u16422, _u16424))) )).
% 39.92/40.15 cnf(matrix-6879, plain, ( ( hAPP(hAPP(c_List_Ozip(_u16425, _u16426), hAPP(hAPP(c_List_Olist_OCons(_u16425), _u16427), _u16428)), _u16429) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(_u16425, _u16426)), _u16426, c_List_Olist_ONil(tc_prod(_u16425, _u16426)), hAPP(hAPP(c_COMBC(_u16426, tc_fun(tc_List_Olist(_u16426), tc_List_Olist(tc_prod(_u16425, _u16426))), tc_fun(tc_List_Olist(_u16426), tc_List_Olist(tc_prod(_u16425, _u16426)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(_u16425, _u16426)), tc_List_Olist(tc_prod(_u16425, _u16426))), tc_fun(tc_fun(tc_List_Olist(_u16426), tc_List_Olist(tc_prod(_u16425, _u16426))), tc_fun(tc_List_Olist(_u16426), tc_List_Olist(tc_prod(_u16425, _u16426)))), _u16426), c_COMBB(tc_List_Olist(tc_prod(_u16425, _u16426)), tc_List_Olist(tc_prod(_u16425, _u16426)), tc_List_Olist(_u16426))), hAPP(hAPP(c_COMBB(tc_prod(_u16425, _u16426), tc_fun(tc_List_Olist(tc_prod(_u16425, _u16426)), tc_List_Olist(tc_prod(_u16425, _u16426))), _u16426), c_List_Olist_OCons(tc_prod(_u16425, _u16426))), hAPP(c_Product__Type_OPair(_u16425, _u16426), _u16427)))), hAPP(c_List_Ozip(_u16425, _u16426), _u16428))), _u16429)) )).
% 39.92/40.15 cnf(matrix-6880, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(_u16430)), c_List_Otranspose__rel(_u16430)), hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u16430)), c_List_Olist_ONil(_u16430)), _u16431))) | ( c_List_Otranspose(_u16430, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u16430)), c_List_Olist_ONil(_u16430)), _u16431)) = c_List_Otranspose(_u16430, _u16431)) )).
% 39.92/40.15 cnf(matrix-6881, 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), _u16434), _u16435))) | hBOOL(hAPP(hAPP(_u16436, _u16434), _u16435)) | 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), skolem388(_u16436, _u16435, _u16434)), skolem389(_u16436, _u16435, _u16434)))) )).
% 39.92/40.15 cnf(matrix-6882, 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), _u16434), _u16435))) | hBOOL(hAPP(hAPP(_u16436, _u16434), _u16435)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem388(_u16436, _u16435, _u16434)), skolem389(_u16436, _u16435, _u16434))) | hBOOL(hAPP(hAPP(_u16436, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem388(_u16436, _u16435, _u16434)), c_Groups_Oone__class_Oone(tc_Int_Oint))), skolem389(_u16436, _u16435, _u16434))) )).
% 39.92/40.15 cnf(matrix-6883, 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), _u16434), _u16435))) | hBOOL(hAPP(hAPP(_u16436, _u16434), _u16435)) | ~hBOOL(hAPP(hAPP(_u16436, skolem388(_u16436, _u16435, _u16434)), skolem389(_u16436, _u16435, _u16434))) )).
% 39.92/40.15 cnf(matrix-6884, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(_u16437)), c_List_Otranspose__rel(_u16437)), c_List_Olist_ONil(tc_List_Olist(_u16437)))) | ( c_List_Otranspose(_u16437, c_List_Olist_ONil(tc_List_Olist(_u16437))) = c_List_Olist_ONil(tc_List_Olist(_u16437))) )).
% 39.92/40.15 cnf(matrix-6885, plain, ( ( c_List_Olist_ONil(tc_Nat_Onat) = c_List_Oreturn__list(c_List_Olist_ONil(tc_Int_Oint))) )).
% 39.92/40.15 cnf(matrix-6886, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16438)), _u16439)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16440)), _u16441))) | ( c_Map_Omap__upds(_u16438, _u16440, _u16442, hAPP(hAPP(c_List_Oappend(_u16438), _u16439), hAPP(hAPP(c_List_Olist_OCons(_u16438), _u16443), c_List_Olist_ONil(_u16438))), _u16441) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(_u16438, tc_Option_Ooption(_u16440)), c_Map_Omap__upds(_u16438, _u16440, _u16442, _u16439, _u16441)), _u16443), hAPP(c_Option_Ooption_OSome(_u16440), hAPP(hAPP(c_List_Onth(_u16440), _u16441), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16438)), _u16439))))) )).
% 39.92/40.15 cnf(matrix-6887, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16449), _u16451), hAPP(hAPP(c_List_Olist_OCons(_u16449), _u16453), c_List_Olist_ONil(_u16449))) != hAPP(hAPP(c_List_Oappend(_u16449), _u16455), hAPP(hAPP(c_List_Olist_OCons(_u16449), _u16457), c_List_Olist_ONil(_u16449)))) | ( _u16451 = _u16455) )).
% 39.92/40.15 cnf(matrix-6888, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16449), _u16451), hAPP(hAPP(c_List_Olist_OCons(_u16449), _u16453), c_List_Olist_ONil(_u16449))) != hAPP(hAPP(c_List_Oappend(_u16449), _u16455), hAPP(hAPP(c_List_Olist_OCons(_u16449), _u16457), c_List_Olist_ONil(_u16449)))) | ( _u16453 = _u16457) )).
% 39.92/40.15 cnf(matrix-6889, plain, ( ( _u16452 != _u16456) | ( _u16454 != _u16458) | ( hAPP(hAPP(c_List_Oappend(_u16450), _u16452), hAPP(hAPP(c_List_Olist_OCons(_u16450), _u16454), c_List_Olist_ONil(_u16450))) = hAPP(hAPP(c_List_Oappend(_u16450), _u16456), hAPP(hAPP(c_List_Olist_OCons(_u16450), _u16458), c_List_Olist_ONil(_u16450)))) )).
% 39.92/40.15 cnf(matrix-6890, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u16466), _u16468), _u16470) != hAPP(hAPP(c_List_Oappend(_u16466), _u16472), _u16474)) | ( _u16472 = c_List_Olist_ONil(_u16466)) | ( hAPP(hAPP(c_List_Olist_OCons(_u16466), _u16468), skolem390(_u16474, _u16472, _u16470, _u16468, _u16466)) = _u16472) )).
% 39.92/40.15 cnf(matrix-6891, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u16466), _u16468), _u16470) != hAPP(hAPP(c_List_Oappend(_u16466), _u16472), _u16474)) | ( _u16472 = c_List_Olist_ONil(_u16466)) | ( _u16470 = hAPP(hAPP(c_List_Oappend(_u16466), skolem390(_u16474, _u16472, _u16470, _u16468, _u16466)), _u16474)) )).
% 39.92/40.15 cnf(matrix-6892, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u16466), _u16468), _u16470) != hAPP(hAPP(c_List_Oappend(_u16466), _u16472), _u16474)) | ( hAPP(hAPP(c_List_Olist_OCons(_u16466), _u16468), _u16470) = _u16474) | ( hAPP(hAPP(c_List_Olist_OCons(_u16466), _u16468), skolem390(_u16474, _u16472, _u16470, _u16468, _u16466)) = _u16472) )).
% 39.92/40.15 cnf(matrix-6893, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u16466), _u16468), _u16470) != hAPP(hAPP(c_List_Oappend(_u16466), _u16472), _u16474)) | ( hAPP(hAPP(c_List_Olist_OCons(_u16466), _u16468), _u16470) = _u16474) | ( _u16470 = hAPP(hAPP(c_List_Oappend(_u16466), skolem390(_u16474, _u16472, _u16470, _u16468, _u16466)), _u16474)) )).
% 39.92/40.15 cnf(matrix-6894, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u16467), _u16469), _u16471) = hAPP(hAPP(c_List_Oappend(_u16467), _u16473), _u16475)) | ( _u16473 != c_List_Olist_ONil(_u16467)) | ( hAPP(hAPP(c_List_Olist_OCons(_u16467), _u16469), _u16471) != _u16475) )).
% 39.92/40.15 cnf(matrix-6895, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u16467), _u16469), _u16471) = hAPP(hAPP(c_List_Oappend(_u16467), _u16473), _u16475)) | ( hAPP(hAPP(c_List_Olist_OCons(_u16467), _u16469), _u16460) != _u16473) | ( _u16471 != hAPP(hAPP(c_List_Oappend(_u16467), _u16460), _u16475)) )).
% 39.92/40.15 cnf(matrix-6896, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16483), _u16485), _u16487) != hAPP(hAPP(c_List_Olist_OCons(_u16483), _u16489), _u16491)) | ( _u16485 = c_List_Olist_ONil(_u16483)) | ( _u16485 = hAPP(hAPP(c_List_Olist_OCons(_u16483), _u16489), skolem391(_u16491, _u16489, _u16487, _u16485, _u16483))) )).
% 39.92/40.15 cnf(matrix-6897, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16483), _u16485), _u16487) != hAPP(hAPP(c_List_Olist_OCons(_u16483), _u16489), _u16491)) | ( _u16485 = c_List_Olist_ONil(_u16483)) | ( hAPP(hAPP(c_List_Oappend(_u16483), skolem391(_u16491, _u16489, _u16487, _u16485, _u16483)), _u16487) = _u16491) )).
% 39.92/40.15 cnf(matrix-6898, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16483), _u16485), _u16487) != hAPP(hAPP(c_List_Olist_OCons(_u16483), _u16489), _u16491)) | ( _u16487 = hAPP(hAPP(c_List_Olist_OCons(_u16483), _u16489), _u16491)) | ( _u16485 = hAPP(hAPP(c_List_Olist_OCons(_u16483), _u16489), skolem391(_u16491, _u16489, _u16487, _u16485, _u16483))) )).
% 39.92/40.15 cnf(matrix-6899, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16483), _u16485), _u16487) != hAPP(hAPP(c_List_Olist_OCons(_u16483), _u16489), _u16491)) | ( _u16487 = hAPP(hAPP(c_List_Olist_OCons(_u16483), _u16489), _u16491)) | ( hAPP(hAPP(c_List_Oappend(_u16483), skolem391(_u16491, _u16489, _u16487, _u16485, _u16483)), _u16487) = _u16491) )).
% 39.92/40.15 cnf(matrix-6900, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16484), _u16486), _u16488) = hAPP(hAPP(c_List_Olist_OCons(_u16484), _u16490), _u16492)) | ( _u16486 != c_List_Olist_ONil(_u16484)) | ( _u16488 != hAPP(hAPP(c_List_Olist_OCons(_u16484), _u16490), _u16492)) )).
% 39.92/40.15 cnf(matrix-6901, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16484), _u16486), _u16488) = hAPP(hAPP(c_List_Olist_OCons(_u16484), _u16490), _u16492)) | ( _u16486 != hAPP(hAPP(c_List_Olist_OCons(_u16484), _u16490), _u16477)) | ( hAPP(hAPP(c_List_Oappend(_u16484), _u16477), _u16488) != _u16492) )).
% 39.92/40.15 cnf(matrix-6902, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u16493), _u16494), _u16495) != _u16496) | ( _u16497 != hAPP(hAPP(c_List_Oappend(_u16493), _u16495), _u16498)) | ( hAPP(hAPP(c_List_Olist_OCons(_u16493), _u16494), _u16497) = hAPP(hAPP(c_List_Oappend(_u16493), _u16496), _u16498)) )).
% 39.92/40.15 cnf(matrix-6903, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16499), hAPP(hAPP(c_List_Olist_OCons(_u16499), _u16500), _u16501)), _u16502) = hAPP(hAPP(c_List_Olist_OCons(_u16499), _u16500), hAPP(hAPP(c_List_Oappend(_u16499), _u16501), _u16502))) )).
% 39.92/40.15 cnf(matrix-6904, plain, ( ( hAPP(hAPP(c_List_Omap(_u16503, _u16504), _u16505), hAPP(hAPP(c_List_Oappend(_u16503), _u16506), _u16507)) = hAPP(hAPP(c_List_Oappend(_u16504), hAPP(hAPP(c_List_Omap(_u16503, _u16504), _u16505), _u16506)), hAPP(hAPP(c_List_Omap(_u16503, _u16504), _u16505), _u16507))) )).
% 39.92/40.15 cnf(matrix-6905, plain, ( ( hAPP(c_List_Ofilter(_u16508, _u16509), hAPP(hAPP(c_List_Oappend(_u16508), _u16510), _u16511)) = hAPP(hAPP(c_List_Oappend(_u16508), hAPP(c_List_Ofilter(_u16508, _u16509), _u16510)), hAPP(c_List_Ofilter(_u16508, _u16509), _u16511))) )).
% 39.92/40.15 cnf(matrix-6906, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16512)), _u16513) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16514)), _u16515)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16512)), _u16516) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16514)), _u16517)) | ( hAPP(hAPP(c_List_Ozip(_u16512, _u16514), hAPP(hAPP(c_List_Oappend(_u16512), _u16513), _u16516)), hAPP(hAPP(c_List_Oappend(_u16514), _u16515), _u16517)) = hAPP(hAPP(c_List_Oappend(tc_prod(_u16512, _u16514)), hAPP(hAPP(c_List_Ozip(_u16512, _u16514), _u16513), _u16515)), hAPP(hAPP(c_List_Ozip(_u16512, _u16514), _u16516), _u16517))) )).
% 39.92/40.15 cnf(matrix-6907, plain, ( ( hAPP(c_Map_Omap__of(_u16518, _u16519), hAPP(hAPP(c_List_Oappend(tc_prod(_u16518, _u16519)), _u16520), _u16521)) = c_Map_Omap__add(_u16518, _u16519, hAPP(c_Map_Omap__of(_u16518, _u16519), _u16521), hAPP(c_Map_Omap__of(_u16518, _u16519), _u16520))) )).
% 39.92/40.15 cnf(matrix-6908, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16522), _u16523), _u16524) != _u16525) | ( _u16526 != hAPP(hAPP(c_List_Oappend(_u16522), _u16524), _u16527)) | ( hAPP(hAPP(c_List_Oappend(_u16522), _u16523), _u16526) = hAPP(hAPP(c_List_Oappend(_u16522), _u16525), _u16527)) )).
% 39.92/40.15 cnf(matrix-6909, plain, ( ( _u16534 = _u16538) | ( hAPP(hAPP(c_List_Oappend(_u16532), _u16534), _u16536) != hAPP(hAPP(c_List_Oappend(_u16532), _u16538), _u16536)) )).
% 39.92/40.15 cnf(matrix-6910, plain, ( ( _u16535 != _u16539) | ( hAPP(hAPP(c_List_Oappend(_u16533), _u16535), _u16537) = hAPP(hAPP(c_List_Oappend(_u16533), _u16539), _u16537)) )).
% 39.92/40.15 cnf(matrix-6911, plain, ( ( _u16548 = _u16550) | ( hAPP(hAPP(c_List_Oappend(_u16544), _u16546), _u16548) != hAPP(hAPP(c_List_Oappend(_u16544), _u16546), _u16550)) )).
% 39.92/40.15 cnf(matrix-6912, plain, ( ( _u16549 != _u16551) | ( hAPP(hAPP(c_List_Oappend(_u16545), _u16547), _u16549) = hAPP(hAPP(c_List_Oappend(_u16545), _u16547), _u16551)) )).
% 39.92/40.15 cnf(matrix-6913, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16563), _u16565), _u16567) != hAPP(hAPP(c_List_Oappend(_u16563), _u16569), _u16571)) | ( _u16565 = hAPP(hAPP(c_List_Oappend(_u16563), _u16569), skolem392(_u16571, _u16569, _u16567, _u16565, _u16563))) | ( hAPP(hAPP(c_List_Oappend(_u16563), _u16565), skolem393(_u16571, _u16569, _u16567, _u16565, _u16563)) = _u16569) )).
% 39.92/40.15 cnf(matrix-6914, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16563), _u16565), _u16567) != hAPP(hAPP(c_List_Oappend(_u16563), _u16569), _u16571)) | ( _u16565 = hAPP(hAPP(c_List_Oappend(_u16563), _u16569), skolem392(_u16571, _u16569, _u16567, _u16565, _u16563))) | ( _u16567 = hAPP(hAPP(c_List_Oappend(_u16563), skolem393(_u16571, _u16569, _u16567, _u16565, _u16563)), _u16571)) )).
% 39.92/40.15 cnf(matrix-6915, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16563), _u16565), _u16567) != hAPP(hAPP(c_List_Oappend(_u16563), _u16569), _u16571)) | ( hAPP(hAPP(c_List_Oappend(_u16563), skolem392(_u16571, _u16569, _u16567, _u16565, _u16563)), _u16567) = _u16571) | ( hAPP(hAPP(c_List_Oappend(_u16563), _u16565), skolem393(_u16571, _u16569, _u16567, _u16565, _u16563)) = _u16569) )).
% 39.92/40.15 cnf(matrix-6916, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16563), _u16565), _u16567) != hAPP(hAPP(c_List_Oappend(_u16563), _u16569), _u16571)) | ( hAPP(hAPP(c_List_Oappend(_u16563), skolem392(_u16571, _u16569, _u16567, _u16565, _u16563)), _u16567) = _u16571) | ( _u16567 = hAPP(hAPP(c_List_Oappend(_u16563), skolem393(_u16571, _u16569, _u16567, _u16565, _u16563)), _u16571)) )).
% 39.92/40.15 cnf(matrix-6917, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16564), _u16566), _u16568) = hAPP(hAPP(c_List_Oappend(_u16564), _u16570), _u16572)) | ( _u16566 != hAPP(hAPP(c_List_Oappend(_u16564), _u16570), _u16561)) | ( hAPP(hAPP(c_List_Oappend(_u16564), _u16561), _u16568) != _u16572) )).
% 39.92/40.15 cnf(matrix-6918, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16564), _u16566), _u16568) = hAPP(hAPP(c_List_Oappend(_u16564), _u16570), _u16572)) | ( hAPP(hAPP(c_List_Oappend(_u16564), _u16566), _u16562) != _u16570) | ( _u16568 != hAPP(hAPP(c_List_Oappend(_u16564), _u16562), _u16572)) )).
% 39.92/40.15 cnf(matrix-6919, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16573), hAPP(hAPP(c_List_Oappend(_u16573), _u16574), _u16575)), _u16576) = hAPP(hAPP(c_List_Oappend(_u16573), _u16574), hAPP(hAPP(c_List_Oappend(_u16573), _u16575), _u16576))) )).
% 39.92/40.15 cnf(matrix-6920, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16581)), hAPP(hAPP(c_List_Oappend(_u16581), _u16583), _u16585)), c_List_Olists(_u16581, _u16587))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16581)), _u16583), c_List_Olists(_u16581, _u16587))) )).
% 39.92/40.15 cnf(matrix-6921, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16581)), hAPP(hAPP(c_List_Oappend(_u16581), _u16583), _u16585)), c_List_Olists(_u16581, _u16587))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16581)), _u16585), c_List_Olists(_u16581, _u16587))) )).
% 39.92/40.15 cnf(matrix-6922, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16582)), _u16584), c_List_Olists(_u16582, _u16588))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16582)), _u16586), c_List_Olists(_u16582, _u16588))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16582)), hAPP(hAPP(c_List_Oappend(_u16582), _u16584), _u16586)), c_List_Olists(_u16582, _u16588))) )).
% 39.92/40.15 cnf(matrix-6923, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16589)), _u16590) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16591)), _u16592)) | ( c_Map_Omap__upds(_u16589, _u16591, _u16593, hAPP(hAPP(c_List_Oappend(_u16589), _u16590), _u16594), _u16592) = c_Map_Omap__upds(_u16589, _u16591, _u16593, _u16590, _u16592)) )).
% 39.92/40.15 cnf(matrix-6924, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16595)), _u16596) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16597)), _u16598)) | ( c_Map_Omap__upds(_u16595, _u16597, _u16599, _u16596, hAPP(hAPP(c_List_Oappend(_u16597), _u16598), _u16600)) = c_Map_Omap__upds(_u16595, _u16597, _u16599, _u16596, _u16598)) )).
% 39.92/40.15 cnf(matrix-6925, plain, ( ( hAPP(c_List_Oset(_u16601), hAPP(hAPP(c_List_Oappend(_u16601), _u16602), _u16603)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16601, tc_HOL_Obool)), hAPP(c_List_Oset(_u16601), _u16602)), hAPP(c_List_Oset(_u16601), _u16603))) )).
% 39.92/40.15 cnf(matrix-6926, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16604)), hAPP(hAPP(c_List_Oappend(_u16604), _u16605), _u16606)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16604)), _u16605)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16604)), _u16606))) )).
% 39.92/40.15 cnf(matrix-6927, plain, ( ~class_Groups_Omonoid__add(_u16607) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u16607), hAPP(hAPP(c_List_Oappend(_u16607), _u16608), _u16609)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u16607), hAPP(c_List_Omonoid__add__class_Olistsum(_u16607), _u16608)), hAPP(c_List_Omonoid__add__class_Olistsum(_u16607), _u16609))) )).
% 39.92/40.15 cnf(matrix-6928, plain, ( ( c_List_Ofoldr(_u16610, _u16611, _u16612, hAPP(hAPP(c_List_Oappend(_u16610), _u16613), _u16614), _u16615) = c_List_Ofoldr(_u16610, _u16611, _u16612, _u16613, c_List_Ofoldr(_u16610, _u16611, _u16612, _u16614, _u16615))) )).
% 39.92/40.15 cnf(matrix-6929, plain, ( ( _u16619 != c_List_Olist_ONil(_u16621)) | ( c_List_Obutlast(_u16621, hAPP(hAPP(c_List_Oappend(_u16621), _u16623), _u16619)) = c_List_Obutlast(_u16621, _u16623)) )).
% 39.92/40.15 cnf(matrix-6930, plain, ( ( _u16620 = c_List_Olist_ONil(_u16622)) | ( c_List_Obutlast(_u16622, hAPP(hAPP(c_List_Oappend(_u16622), _u16624), _u16620)) = hAPP(hAPP(c_List_Oappend(_u16622), _u16624), c_List_Obutlast(_u16622, _u16620))) )).
% 39.92/40.15 cnf(matrix-6931, plain, ( ( _u16625 != _u16626) | ( _u16625 = hAPP(hAPP(c_List_Oappend(_u16627), c_List_Olist_ONil(_u16627)), _u16626)) )).
% 39.92/40.15 cnf(matrix-6932, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16631), _u16633), _u16635) != _u16635) | ( _u16633 = c_List_Olist_ONil(_u16631)) )).
% 39.92/40.15 cnf(matrix-6933, plain, ( ( _u16634 != c_List_Olist_ONil(_u16632)) | ( hAPP(hAPP(c_List_Oappend(_u16632), _u16634), _u16636) = _u16636) )).
% 39.92/40.15 cnf(matrix-6934, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16640), _u16642), _u16644) != _u16642) | ( _u16644 = c_List_Olist_ONil(_u16640)) )).
% 39.92/40.15 cnf(matrix-6935, plain, ( ( _u16645 != c_List_Olist_ONil(_u16641)) | ( hAPP(hAPP(c_List_Oappend(_u16641), _u16643), _u16645) = _u16643) )).
% 39.92/40.15 cnf(matrix-6936, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16649), _u16651), _u16653) != c_List_Olist_ONil(_u16649)) | ( _u16651 = c_List_Olist_ONil(_u16649)) )).
% 39.92/40.15 cnf(matrix-6937, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16649), _u16651), _u16653) != c_List_Olist_ONil(_u16649)) | ( _u16653 = c_List_Olist_ONil(_u16649)) )).
% 39.92/40.15 cnf(matrix-6938, plain, ( ( _u16652 != c_List_Olist_ONil(_u16650)) | ( _u16654 != c_List_Olist_ONil(_u16650)) | ( hAPP(hAPP(c_List_Oappend(_u16650), _u16652), _u16654) = c_List_Olist_ONil(_u16650)) )).
% 39.92/40.15 cnf(matrix-6939, plain, ( ( _u16662 = c_List_Olist_ONil(_u16660)) | ( _u16658 != hAPP(hAPP(c_List_Oappend(_u16660), _u16662), _u16658)) )).
% 39.92/40.15 cnf(matrix-6940, plain, ( ( _u16663 != c_List_Olist_ONil(_u16661)) | ( _u16659 = hAPP(hAPP(c_List_Oappend(_u16661), _u16663), _u16659)) )).
% 39.92/40.15 cnf(matrix-6941, plain, ( ( _u16671 = c_List_Olist_ONil(_u16669)) | ( _u16667 != hAPP(hAPP(c_List_Oappend(_u16669), _u16667), _u16671)) )).
% 39.92/40.15 cnf(matrix-6942, plain, ( ( _u16672 != c_List_Olist_ONil(_u16670)) | ( _u16668 = hAPP(hAPP(c_List_Oappend(_u16670), _u16668), _u16672)) )).
% 39.92/40.15 cnf(matrix-6943, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16673), _u16674), c_List_Olist_ONil(_u16673)) = _u16674) )).
% 39.92/40.15 cnf(matrix-6944, plain, ( ( c_List_Olist_ONil(_u16678) != hAPP(hAPP(c_List_Oappend(_u16678), _u16680), _u16682)) | ( _u16680 = c_List_Olist_ONil(_u16678)) )).
% 39.92/40.15 cnf(matrix-6945, plain, ( ( c_List_Olist_ONil(_u16678) != hAPP(hAPP(c_List_Oappend(_u16678), _u16680), _u16682)) | ( _u16682 = c_List_Olist_ONil(_u16678)) )).
% 39.92/40.15 cnf(matrix-6946, plain, ( ( _u16681 != c_List_Olist_ONil(_u16679)) | ( _u16683 != c_List_Olist_ONil(_u16679)) | ( c_List_Olist_ONil(_u16679) = hAPP(hAPP(c_List_Oappend(_u16679), _u16681), _u16683)) )).
% 39.92/40.15 cnf(matrix-6947, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16684), c_List_Olist_ONil(_u16684)), _u16685) = _u16685) )).
% 39.92/40.15 cnf(matrix-6948, plain, ( ( hAPP(hAPP(c_List_Onth(_u16686), hAPP(hAPP(c_List_Oappend(_u16686), _u16687), hAPP(hAPP(c_List_Olist_OCons(_u16686), _u16688), _u16689))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16686)), _u16687)) = _u16688) )).
% 39.92/40.15 cnf(matrix-6949, plain, ( ( hAPP(hAPP(c_List_Onth(_u16690), hAPP(hAPP(c_List_Oappend(_u16690), _u16691), _u16692)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16690)), _u16691)), _u16693)) = hAPP(hAPP(c_List_Onth(_u16690), _u16692), _u16693)) )).
% 39.92/40.15 cnf(matrix-6950, plain, ( ( hAPP(hAPP(c_List_Otake(_u16694), _u16695), hAPP(hAPP(c_List_Oappend(_u16694), _u16696), _u16697)) = hAPP(hAPP(c_List_Oappend(_u16694), hAPP(hAPP(c_List_Otake(_u16694), _u16695), _u16696)), hAPP(hAPP(c_List_Otake(_u16694), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16695), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16694)), _u16696))), _u16697))) )).
% 39.92/40.15 cnf(matrix-6951, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16698), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16699)), _u16700))) | ( hAPP(hAPP(c_List_Olist__update(_u16699, hAPP(hAPP(c_List_Oappend(_u16699), _u16700), _u16701)), _u16698), _u16702) = hAPP(hAPP(c_List_Oappend(_u16699), hAPP(hAPP(c_List_Olist__update(_u16699, _u16700), _u16698), _u16702)), _u16701)) )).
% 39.92/40.15 cnf(matrix-6952, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u16703, hAPP(hAPP(c_List_Oappend(_u16703), _u16704), hAPP(hAPP(c_List_Olist_OCons(_u16703), _u16705), _u16706))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16703)), _u16704)), _u16707) = hAPP(hAPP(c_List_Oappend(_u16703), _u16704), hAPP(hAPP(c_List_Olist_OCons(_u16703), _u16707), _u16706))) )).
% 39.92/40.15 cnf(matrix-6953, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u16712), _u16714), hAPP(c_List_Oset(_u16712), _u16716))) | ( c_List_Oremove1(_u16712, _u16714, hAPP(hAPP(c_List_Oappend(_u16712), _u16716), _u16718)) = hAPP(hAPP(c_List_Oappend(_u16712), c_List_Oremove1(_u16712, _u16714, _u16716)), _u16718)) )).
% 39.92/40.15 cnf(matrix-6954, plain, ( hBOOL(hAPP(hAPP(c_member(_u16713), _u16715), hAPP(c_List_Oset(_u16713), _u16717))) | ( c_List_Oremove1(_u16713, _u16715, hAPP(hAPP(c_List_Oappend(_u16713), _u16717), _u16719)) = hAPP(hAPP(c_List_Oappend(_u16713), _u16717), c_List_Oremove1(_u16713, _u16715, _u16719))) )).
% 39.92/40.15 cnf(matrix-6955, plain, ( hBOOL(hAPP(hAPP(c_member(_u16720), _u16721), hAPP(c_List_Oset(_u16720), c_List_Obutlast(_u16720, hAPP(hAPP(c_List_Oappend(_u16720), _u16722), _u16723))))) | ~hBOOL(hAPP(hAPP(c_member(_u16720), _u16721), hAPP(c_List_Oset(_u16720), c_List_Obutlast(_u16720, _u16722)))) )).
% 39.92/40.15 cnf(matrix-6956, plain, ( hBOOL(hAPP(hAPP(c_member(_u16720), _u16721), hAPP(c_List_Oset(_u16720), c_List_Obutlast(_u16720, hAPP(hAPP(c_List_Oappend(_u16720), _u16722), _u16723))))) | ~hBOOL(hAPP(hAPP(c_member(_u16720), _u16721), hAPP(c_List_Oset(_u16720), c_List_Obutlast(_u16720, _u16723)))) )).
% 39.92/40.15 cnf(matrix-6957, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16724), _u16725)) | ( c_List_Oupt(_u16724, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16725), _u16726)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), c_List_Oupt(_u16724, _u16725)), c_List_Oupt(_u16725, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16725), _u16726)))) )).
% 39.92/40.15 cnf(matrix-6958, plain, ( ( c_List_Obutlast(_u16727, hAPP(hAPP(c_List_Oappend(_u16727), _u16728), hAPP(hAPP(c_List_Olist_OCons(_u16727), _u16729), c_List_Olist_ONil(_u16727)))) = _u16728) )).
% 39.92/40.15 cnf(matrix-6959, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16730), tc_List_Olist(_u16730))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16730), tc_List_Olist(_u16730)), hAPP(hAPP(c_List_Oappend(_u16730), _u16731), _u16734)), hAPP(hAPP(c_List_Oappend(_u16730), _u16732), _u16735))), c_List_Olistrel1(_u16730, _u16733))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16730), tc_List_Olist(_u16730))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16730), tc_List_Olist(_u16730)), _u16731), _u16732)), c_List_Olistrel1(_u16730, _u16733))) | ( _u16734 != _u16735) )).
% 39.92/40.15 cnf(matrix-6960, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16730), tc_List_Olist(_u16730))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16730), tc_List_Olist(_u16730)), hAPP(hAPP(c_List_Oappend(_u16730), _u16731), _u16734)), hAPP(hAPP(c_List_Oappend(_u16730), _u16732), _u16735))), c_List_Olistrel1(_u16730, _u16733))) | ( _u16731 != _u16732) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16730), tc_List_Olist(_u16730))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16730), tc_List_Olist(_u16730)), _u16734), _u16735)), c_List_Olistrel1(_u16730, _u16733))) )).
% 39.92/40.15 cnf(matrix-6961, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16736), tc_List_Olist(_u16736))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16736), tc_List_Olist(_u16736)), _u16737), _u16738)), c_List_Olexord(_u16736, _u16739))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16736), tc_List_Olist(_u16736))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16736), tc_List_Olist(_u16736)), hAPP(hAPP(c_List_Oappend(_u16736), _u16740), _u16737)), hAPP(hAPP(c_List_Oappend(_u16736), _u16740), _u16738))), c_List_Olexord(_u16736, _u16739))) )).
% 39.92/40.15 cnf(matrix-6962, plain, ( ( c_List_Oreturn__list(_u16741) = hAPP(hAPP(c_List_Omap(tc_Int_Oint, tc_Nat_Onat), c_Int_Onat), _u16741)) )).
% 39.92/40.15 cnf(matrix-6963, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16745), hAPP(hAPP(c_List_Oappend(_u16745), _u16747), _u16749))) | hBOOL(hAPP(c_List_Odistinct(_u16745), _u16747)) )).
% 39.92/40.15 cnf(matrix-6964, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16745), hAPP(hAPP(c_List_Oappend(_u16745), _u16747), _u16749))) | hBOOL(hAPP(c_List_Odistinct(_u16745), _u16749)) )).
% 39.92/40.15 cnf(matrix-6965, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16745), hAPP(hAPP(c_List_Oappend(_u16745), _u16747), _u16749))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16745, tc_HOL_Obool)), hAPP(c_List_Oset(_u16745), _u16747)), hAPP(c_List_Oset(_u16745), _u16749)) = c_Orderings_Obot__class_Obot(tc_fun(_u16745, tc_HOL_Obool))) )).
% 39.92/40.15 cnf(matrix-6966, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16746), _u16748)) | ~hBOOL(hAPP(c_List_Odistinct(_u16746), _u16750)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16746, tc_HOL_Obool)), hAPP(c_List_Oset(_u16746), _u16748)), hAPP(c_List_Oset(_u16746), _u16750)) != c_Orderings_Obot__class_Obot(tc_fun(_u16746, tc_HOL_Obool))) | hBOOL(hAPP(c_List_Odistinct(_u16746), hAPP(hAPP(c_List_Oappend(_u16746), _u16748), _u16750))) )).
% 39.92/40.15 cnf(matrix-6967, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16755), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16757)), _u16759))) | ( hAPP(hAPP(c_List_Onth(_u16757), hAPP(hAPP(c_List_Oappend(_u16757), _u16759), _u16761)), _u16755) = hAPP(hAPP(c_List_Onth(_u16757), _u16759), _u16755)) )).
% 39.92/40.15 cnf(matrix-6968, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16756), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16758)), _u16760))) | ( hAPP(hAPP(c_List_Onth(_u16758), hAPP(hAPP(c_List_Oappend(_u16758), _u16760), _u16762)), _u16756) = hAPP(hAPP(c_List_Onth(_u16758), _u16762), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16756), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16758)), _u16760)))) )).
% 39.92/40.15 cnf(matrix-6969, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16768), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16770)), _u16772))) | ( hAPP(hAPP(c_List_Olist__update(_u16770, hAPP(hAPP(c_List_Oappend(_u16770), _u16772), _u16774)), _u16768), _u16776) = hAPP(hAPP(c_List_Oappend(_u16770), hAPP(hAPP(c_List_Olist__update(_u16770, _u16772), _u16768), _u16776)), _u16774)) )).
% 39.92/40.15 cnf(matrix-6970, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16769), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16771)), _u16773))) | ( hAPP(hAPP(c_List_Olist__update(_u16771, hAPP(hAPP(c_List_Oappend(_u16771), _u16773), _u16775)), _u16769), _u16777) = hAPP(hAPP(c_List_Oappend(_u16771), _u16773), hAPP(hAPP(c_List_Olist__update(_u16771, _u16775), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16769), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16771)), _u16773))), _u16777))) )).
% 39.92/40.15 cnf(matrix-6971, plain, ( ( c_Enum_Osublists(_u16778, hAPP(hAPP(c_List_Olist_OCons(_u16778), _u16779), _u16780)) = hAPP(hAPP(c_HOL_OLet(tc_List_Olist(tc_List_Olist(_u16778)), tc_List_Olist(tc_List_Olist(_u16778))), c_Enum_Osublists(_u16778, _u16780)), hAPP(hAPP(c_COMBS(tc_List_Olist(tc_List_Olist(_u16778)), tc_List_Olist(tc_List_Olist(_u16778)), tc_List_Olist(tc_List_Olist(_u16778))), hAPP(hAPP(c_COMBB(tc_List_Olist(tc_List_Olist(_u16778)), tc_fun(tc_List_Olist(tc_List_Olist(_u16778)), tc_List_Olist(tc_List_Olist(_u16778))), tc_List_Olist(tc_List_Olist(_u16778))), c_List_Oappend(tc_List_Olist(_u16778))), hAPP(c_List_Omap(tc_List_Olist(_u16778), tc_List_Olist(_u16778)), hAPP(c_List_Olist_OCons(_u16778), _u16779)))), c_COMBI(tc_List_Olist(tc_List_Olist(_u16778)))))) )).
% 39.92/40.15 cnf(matrix-6972, plain, ( ( c_Enum_Oproduct(_u16781, _u16782, hAPP(hAPP(c_List_Olist_OCons(_u16781), _u16783), _u16784), _u16785) = hAPP(hAPP(c_List_Oappend(tc_prod(_u16781, _u16782)), hAPP(hAPP(c_List_Omap(_u16782, tc_prod(_u16781, _u16782)), hAPP(c_Product__Type_OPair(_u16781, _u16782), _u16783)), _u16785)), c_Enum_Oproduct(_u16781, _u16782, _u16784, _u16785))) )).
% 39.92/40.15 cnf(matrix-6973, plain, ( ( c_List_Osublist(_u16786, hAPP(hAPP(c_List_Oappend(_u16786), _u16787), _u16788), _u16789) = hAPP(hAPP(c_List_Oappend(_u16786), c_List_Osublist(_u16786, _u16787, _u16789)), c_List_Osublist(_u16786, _u16788, 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(_u16786)), _u16787)))), _u16789))))) )).
% 39.92/40.15 cnf(matrix-6974, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16790), _u16791)) | ( c_List_Oupt(_u16790, hAPP(c_Nat_OSuc, _u16791)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), c_List_Oupt(_u16790, _u16791)), hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u16791), c_List_Olist_ONil(tc_Nat_Onat)))) )).
% 39.92/40.15 cnf(matrix-6975, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16794), _u16796)) | ( c_List_Oupt(_u16794, hAPP(c_Nat_OSuc, _u16796)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), c_List_Oupt(_u16794, _u16796)), hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u16796), c_List_Olist_ONil(tc_Nat_Onat)))) )).
% 39.92/40.15 cnf(matrix-6976, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16795), _u16797)) | ( c_List_Oupt(_u16795, hAPP(c_Nat_OSuc, _u16797)) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 39.92/40.15 cnf(matrix-6977, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16798, _u16798)), hAPP(hAPP(c_Product__Type_OPair(_u16798, _u16798), _u16799), _u16800)), _u16801)) | ( _u16802 != hAPP(hAPP(c_List_Oappend(_u16798), _u16803), hAPP(hAPP(c_List_Olist_OCons(_u16798), _u16799), _u16804))) | ( _u16805 != hAPP(hAPP(c_List_Oappend(_u16798), _u16803), hAPP(hAPP(c_List_Olist_OCons(_u16798), _u16800), _u16804))) | 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)), _u16802), _u16805)), c_List_Olistrel1(_u16798, _u16801))) )).
% 39.92/40.15 cnf(matrix-6978, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16806, _u16806)), hAPP(hAPP(c_Product__Type_OPair(_u16806, _u16806), _u16807), _u16808)), _u16809)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16806), tc_List_Olist(_u16806))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16806), tc_List_Olist(_u16806)), hAPP(hAPP(c_List_Oappend(_u16806), _u16810), hAPP(hAPP(c_List_Olist_OCons(_u16806), _u16807), _u16811))), hAPP(hAPP(c_List_Oappend(_u16806), _u16810), hAPP(hAPP(c_List_Olist_OCons(_u16806), _u16808), _u16812)))), c_List_Olexord(_u16806, _u16809))) )).
% 39.92/40.15 cnf(matrix-6979, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16813), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16814)), _u16815))) | ( hAPP(hAPP(c_List_Otake(_u16814), hAPP(c_Nat_OSuc, _u16813)), _u16815) = hAPP(hAPP(c_List_Oappend(_u16814), hAPP(hAPP(c_List_Otake(_u16814), _u16813), _u16815)), hAPP(hAPP(c_List_Olist_OCons(_u16814), hAPP(hAPP(c_List_Onth(_u16814), _u16815), _u16813)), c_List_Olist_ONil(_u16814)))) )).
% 39.92/40.15 cnf(matrix-6980, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16822), tc_List_Olist(_u16822))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16822), tc_List_Olist(_u16822)), hAPP(hAPP(c_List_Oappend(_u16822), _u16824), hAPP(hAPP(c_List_Olist_OCons(_u16822), _u16826), c_List_Olist_ONil(_u16822)))), hAPP(hAPP(c_List_Oappend(_u16822), _u16828), hAPP(hAPP(c_List_Olist_OCons(_u16822), _u16830), c_List_Olist_ONil(_u16822))))), c_List_Olistrel1(_u16822, _u16832))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16822), tc_List_Olist(_u16822))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16822), tc_List_Olist(_u16822)), _u16824), _u16828)), c_List_Olistrel1(_u16822, _u16832))) | ( _u16824 = _u16828) )).
% 39.92/40.15 cnf(matrix-6981, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16822), tc_List_Olist(_u16822))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16822), tc_List_Olist(_u16822)), hAPP(hAPP(c_List_Oappend(_u16822), _u16824), hAPP(hAPP(c_List_Olist_OCons(_u16822), _u16826), c_List_Olist_ONil(_u16822)))), hAPP(hAPP(c_List_Oappend(_u16822), _u16828), hAPP(hAPP(c_List_Olist_OCons(_u16822), _u16830), c_List_Olist_ONil(_u16822))))), c_List_Olistrel1(_u16822, _u16832))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16822), tc_List_Olist(_u16822))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16822), tc_List_Olist(_u16822)), _u16824), _u16828)), c_List_Olistrel1(_u16822, _u16832))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16822, _u16822)), hAPP(hAPP(c_Product__Type_OPair(_u16822, _u16822), _u16826), _u16830)), _u16832)) )).
% 39.92/40.15 cnf(matrix-6982, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16822), tc_List_Olist(_u16822))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16822), tc_List_Olist(_u16822)), hAPP(hAPP(c_List_Oappend(_u16822), _u16824), hAPP(hAPP(c_List_Olist_OCons(_u16822), _u16826), c_List_Olist_ONil(_u16822)))), hAPP(hAPP(c_List_Oappend(_u16822), _u16828), hAPP(hAPP(c_List_Olist_OCons(_u16822), _u16830), c_List_Olist_ONil(_u16822))))), c_List_Olistrel1(_u16822, _u16832))) | ( _u16826 = _u16830) | ( _u16824 = _u16828) )).
% 39.92/40.15 cnf(matrix-6983, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16822), tc_List_Olist(_u16822))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16822), tc_List_Olist(_u16822)), hAPP(hAPP(c_List_Oappend(_u16822), _u16824), hAPP(hAPP(c_List_Olist_OCons(_u16822), _u16826), c_List_Olist_ONil(_u16822)))), hAPP(hAPP(c_List_Oappend(_u16822), _u16828), hAPP(hAPP(c_List_Olist_OCons(_u16822), _u16830), c_List_Olist_ONil(_u16822))))), c_List_Olistrel1(_u16822, _u16832))) | ( _u16826 = _u16830) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16822, _u16822)), hAPP(hAPP(c_Product__Type_OPair(_u16822, _u16822), _u16826), _u16830)), _u16832)) )).
% 39.92/40.15 cnf(matrix-6984, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16823), tc_List_Olist(_u16823))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16823), tc_List_Olist(_u16823)), hAPP(hAPP(c_List_Oappend(_u16823), _u16825), hAPP(hAPP(c_List_Olist_OCons(_u16823), _u16827), c_List_Olist_ONil(_u16823)))), hAPP(hAPP(c_List_Oappend(_u16823), _u16829), hAPP(hAPP(c_List_Olist_OCons(_u16823), _u16831), c_List_Olist_ONil(_u16823))))), c_List_Olistrel1(_u16823, _u16833))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16823), tc_List_Olist(_u16823))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16823), tc_List_Olist(_u16823)), _u16825), _u16829)), c_List_Olistrel1(_u16823, _u16833))) | ( _u16827 != _u16831) )).
% 39.92/40.15 cnf(matrix-6985, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16823), tc_List_Olist(_u16823))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16823), tc_List_Olist(_u16823)), hAPP(hAPP(c_List_Oappend(_u16823), _u16825), hAPP(hAPP(c_List_Olist_OCons(_u16823), _u16827), c_List_Olist_ONil(_u16823)))), hAPP(hAPP(c_List_Oappend(_u16823), _u16829), hAPP(hAPP(c_List_Olist_OCons(_u16823), _u16831), c_List_Olist_ONil(_u16823))))), c_List_Olistrel1(_u16823, _u16833))) | ( _u16825 != _u16829) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16823, _u16823)), hAPP(hAPP(c_Product__Type_OPair(_u16823, _u16823), _u16827), _u16831)), _u16833)) )).
% 39.92/40.15 cnf(matrix-6986, plain, ( ( c_List_Osublist(_u16834, hAPP(hAPP(c_List_Olist_OCons(_u16834), _u16835), _u16836), _u16837) = hAPP(hAPP(c_List_Oappend(_u16834), hAPP(hAPP(hAPP(c_If(tc_List_Olist(_u16834)), hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u16837)), hAPP(hAPP(c_List_Olist_OCons(_u16834), _u16835), c_List_Olist_ONil(_u16834))), c_List_Olist_ONil(_u16834))), c_List_Osublist(_u16834, _u16836, 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)), _u16837))))) )).
% 39.92/40.15 cnf(matrix-6987, plain, ( ~c_List_Onat__list(_u16838) | ( c_List_Oembed__list(c_List_Oreturn__list(_u16838)) = _u16838) )).
% 39.92/40.15 cnf(matrix-6988, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16843), tc_List_Olist(_u16843))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16843), tc_List_Olist(_u16843)), _u16844), _u16845)), c_List_Olistrel1(_u16843, _u16846))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16843, _u16843)), hAPP(hAPP(c_Product__Type_OPair(_u16843, _u16843), skolem394(_u16846, _u16845, _u16844, _u16843)), skolem395(_u16846, _u16845, _u16844, _u16843))), _u16846)) )).
% 39.92/40.15 cnf(matrix-6989, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16843), tc_List_Olist(_u16843))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16843), tc_List_Olist(_u16843)), _u16844), _u16845)), c_List_Olistrel1(_u16843, _u16846))) | ( _u16844 = hAPP(hAPP(c_List_Oappend(_u16843), skolem396(_u16846, _u16845, _u16844, _u16843)), hAPP(hAPP(c_List_Olist_OCons(_u16843), skolem394(_u16846, _u16845, _u16844, _u16843)), skolem397(_u16846, _u16845, _u16844, _u16843)))) )).
% 39.92/40.15 cnf(matrix-6990, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16843), tc_List_Olist(_u16843))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16843), tc_List_Olist(_u16843)), _u16844), _u16845)), c_List_Olistrel1(_u16843, _u16846))) | ( _u16845 = hAPP(hAPP(c_List_Oappend(_u16843), skolem396(_u16846, _u16845, _u16844, _u16843)), hAPP(hAPP(c_List_Olist_OCons(_u16843), skolem395(_u16846, _u16845, _u16844, _u16843)), skolem397(_u16846, _u16845, _u16844, _u16843)))) )).
% 39.92/40.15 cnf(matrix-6991, plain, ( ( c_List_Oembed__list(_u16847) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_Int_Oint), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u16847)) )).
% 39.92/40.15 cnf(matrix-6992, plain, ( ( hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), _u16848), _u16849) = c_List_Oreturn__list(hAPP(hAPP(c_List_Oappend(tc_Int_Oint), c_List_Oembed__list(_u16848)), c_List_Oembed__list(_u16849)))) )).
% 39.92/40.15 cnf(matrix-6993, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16851), tc_List_Olist(_u16851))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16851), tc_List_Olist(_u16851)), hAPP(hAPP(c_List_Oappend(_u16851), _u16852), _u16853)), hAPP(hAPP(c_List_Oappend(_u16851), _u16852), _u16854))), c_List_Olexord(_u16851, _u16855))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16851, _u16851)), hAPP(hAPP(c_Product__Type_OPair(_u16851, _u16851), skolem398(_u16855, _u16854, _u16853, _u16852, _u16851)), skolem398(_u16855, _u16854, _u16853, _u16852, _u16851))), _u16855)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16851), tc_List_Olist(_u16851))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16851), tc_List_Olist(_u16851)), _u16853), _u16854)), c_List_Olexord(_u16851, _u16855))) )).
% 39.92/40.15 cnf(matrix-6994, plain, ( ( hAPP(c_List_Orotate1(_u16856), _u16857) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(_u16856), _u16856, c_List_Olist_ONil(_u16856), hAPP(hAPP(c_COMBB(tc_List_Olist(_u16856), tc_fun(tc_List_Olist(_u16856), tc_List_Olist(_u16856)), _u16856), hAPP(c_COMBC(tc_List_Olist(_u16856), tc_List_Olist(_u16856), tc_List_Olist(_u16856)), c_List_Oappend(_u16856))), hAPP(hAPP(c_COMBC(_u16856, tc_List_Olist(_u16856), tc_List_Olist(_u16856)), c_List_Olist_OCons(_u16856)), c_List_Olist_ONil(_u16856)))), _u16857)) )).
% 39.92/40.15 cnf(matrix-6995, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16860), hAPP(c_List_Orotate1(_u16860), _u16862))) | hBOOL(hAPP(c_List_Odistinct(_u16860), _u16862)) )).
% 39.92/40.15 cnf(matrix-6996, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16861), _u16863)) | hBOOL(hAPP(c_List_Odistinct(_u16861), hAPP(c_List_Orotate1(_u16861), _u16863))) )).
% 39.92/40.15 cnf(matrix-6997, plain, ( ( hAPP(c_List_Oset(_u16864), hAPP(c_List_Orotate1(_u16864), _u16865)) = hAPP(c_List_Oset(_u16864), _u16865)) )).
% 39.92/40.15 cnf(matrix-6998, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16866)), hAPP(c_List_Orotate1(_u16866), _u16867)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16866)), _u16867)) )).
% 39.92/40.15 cnf(matrix-6999, plain, ( ( hAPP(c_List_Orotate1(_u16870), _u16872) != c_List_Olist_ONil(_u16870)) | ( _u16872 = c_List_Olist_ONil(_u16870)) )).
% 39.92/40.15 cnf(matrix-7000, plain, ( ( _u16873 != c_List_Olist_ONil(_u16871)) | ( hAPP(c_List_Orotate1(_u16871), _u16873) = c_List_Olist_ONil(_u16871)) )).
% 39.92/40.15 cnf(matrix-7001, plain, ( ( hAPP(c_List_Orotate1(_u16874), c_List_Olist_ONil(_u16874)) = c_List_Olist_ONil(_u16874)) )).
% 39.92/40.15 cnf(matrix-7002, plain, ( ( hAPP(c_List_Orotate1(_u16875), hAPP(hAPP(c_List_Olist_OCons(_u16875), _u16876), _u16877)) = hAPP(hAPP(c_List_Oappend(_u16875), _u16877), hAPP(hAPP(c_List_Olist_OCons(_u16875), _u16876), c_List_Olist_ONil(_u16875)))) )).
% 39.92/40.15 cnf(matrix-7003, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16878)), _u16879)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( hAPP(c_List_Orotate1(_u16878), _u16879) = _u16879) )).
% 39.92/40.15 cnf(matrix-7004, plain, ( ~class_Groups_Omonoid__add(_u16881) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u16881), hAPP(hAPP(c_List_Omap(_u16882, _u16881), _u16885), hAPP(c_List_Ofilter(_u16882, _u16884), _u16883))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u16881), hAPP(hAPP(c_List_Omap(_u16882, _u16881), _u16885), _u16883))) | hBOOL(hAPP(hAPP(c_member(_u16882), skolem399(_u16885, _u16884, _u16883, _u16882, _u16881)), hAPP(c_List_Oset(_u16882), _u16883))) )).
% 39.92/40.15 cnf(matrix-7005, plain, ( ~class_Groups_Omonoid__add(_u16881) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u16881), hAPP(hAPP(c_List_Omap(_u16882, _u16881), _u16885), hAPP(c_List_Ofilter(_u16882, _u16884), _u16883))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u16881), hAPP(hAPP(c_List_Omap(_u16882, _u16881), _u16885), _u16883))) | ~hBOOL(hAPP(_u16884, skolem399(_u16885, _u16884, _u16883, _u16882, _u16881))) )).
% 39.92/40.15 cnf(matrix-7006, plain, ( ~class_Groups_Omonoid__add(_u16881) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u16881), hAPP(hAPP(c_List_Omap(_u16882, _u16881), _u16885), hAPP(c_List_Ofilter(_u16882, _u16884), _u16883))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u16881), hAPP(hAPP(c_List_Omap(_u16882, _u16881), _u16885), _u16883))) | ( hAPP(_u16885, skolem399(_u16885, _u16884, _u16883, _u16882, _u16881)) != c_Groups_Ozero__class_Ozero(_u16881)) )).
% 39.92/40.15 cnf(matrix-7007, plain, ( ( c_List_Opartition(_u16886, _u16887, _u16888) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16886), tc_List_Olist(_u16886)), hAPP(c_List_Ofilter(_u16886, _u16887), _u16888)), hAPP(c_List_Ofilter(_u16886, hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, _u16886, c_fNot), _u16887)), _u16888))) )).
% 39.92/40.15 cnf(matrix-7008, plain, ( ( hAPP(c_Product__Type_Ofst(tc_List_Olist(_u16889), tc_List_Olist(_u16889)), c_List_Opartition(_u16889, _u16890, _u16891)) = hAPP(c_List_Ofilter(_u16889, _u16890), _u16891)) )).
% 39.92/40.15 cnf(matrix-7009, plain, ( ( c_List_Opartition(_u16894, _u16895, _u16896) != hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16894), tc_List_Olist(_u16894)), _u16897), _u16898)) | ~hBOOL(hAPP(hAPP(c_member(_u16894), _u16892), hAPP(c_List_Oset(_u16894), _u16897))) | hBOOL(hAPP(_u16895, _u16892)) )).
% 39.92/40.15 cnf(matrix-7010, plain, ( ( c_List_Opartition(_u16894, _u16895, _u16896) != hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16894), tc_List_Olist(_u16894)), _u16897), _u16898)) | ~hBOOL(hAPP(hAPP(c_member(_u16894), _u16893), hAPP(c_List_Oset(_u16894), _u16898))) | ~hBOOL(hAPP(_u16895, _u16893)) )).
% 39.92/40.15 cnf(matrix-7011, plain, ( ( c_List_Opartition(_u16899, _u16900, c_List_Olist_ONil(_u16899)) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16899), tc_List_Olist(_u16899)), c_List_Olist_ONil(_u16899)), c_List_Olist_ONil(_u16899))) )).
% 39.92/40.15 cnf(matrix-7012, plain, ( ( c_List_Opartition(_u16901, _u16902, hAPP(hAPP(c_List_Olist_OCons(_u16901), _u16903), _u16904)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u16901), tc_List_Olist(_u16901), tc_prod(tc_List_Olist(_u16901), tc_List_Olist(_u16901))), hAPP(hAPP(c_COMBS(tc_List_Olist(_u16901), tc_fun(tc_List_Olist(_u16901), tc_prod(tc_List_Olist(_u16901), tc_List_Olist(_u16901))), tc_fun(tc_List_Olist(_u16901), tc_prod(tc_List_Olist(_u16901), tc_List_Olist(_u16901)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u16901), tc_fun(tc_prod(tc_List_Olist(_u16901), tc_List_Olist(_u16901)), tc_prod(tc_List_Olist(_u16901), tc_List_Olist(_u16901)))), tc_fun(tc_fun(tc_List_Olist(_u16901), tc_prod(tc_List_Olist(_u16901), tc_List_Olist(_u16901))), tc_fun(tc_List_Olist(_u16901), tc_prod(tc_List_Olist(_u16901), tc_List_Olist(_u16901)))), tc_List_Olist(_u16901)), c_COMBS(tc_List_Olist(_u16901), tc_prod(tc_List_Olist(_u16901), tc_List_Olist(_u16901)), tc_prod(tc_List_Olist(_u16901), tc_List_Olist(_u16901)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u16901), tc_prod(tc_List_Olist(_u16901), tc_List_Olist(_u16901))), tc_fun(tc_List_Olist(_u16901), tc_fun(tc_prod(tc_List_Olist(_u16901), tc_List_Olist(_u16901)), tc_prod(tc_List_Olist(_u16901), tc_List_Olist(_u16901)))), tc_List_Olist(_u16901)), hAPP(c_COMBB(tc_prod(tc_List_Olist(_u16901), tc_List_Olist(_u16901)), tc_fun(tc_prod(tc_List_Olist(_u16901), tc_List_Olist(_u16901)), tc_prod(tc_List_Olist(_u16901), tc_List_Olist(_u16901))), tc_List_Olist(_u16901)), hAPP(c_If(tc_prod(tc_List_Olist(_u16901), tc_List_Olist(_u16901))), hAPP(_u16902, _u16903)))), hAPP(hAPP(c_COMBB(tc_List_Olist(_u16901), tc_fun(tc_List_Olist(_u16901), tc_prod(tc_List_Olist(_u16901), tc_List_Olist(_u16901))), tc_List_Olist(_u16901)), c_Product__Type_OPair(tc_List_Olist(_u16901), tc_List_Olist(_u16901))), hAPP(c_List_Olist_OCons(_u16901), _u16903))))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u16901), tc_fun(tc_List_Olist(_u16901), tc_List_Olist(_u16901)), tc_fun(tc_List_Olist(_u16901), tc_prod(tc_List_Olist(_u16901), tc_List_Olist(_u16901)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u16901), tc_prod(tc_List_Olist(_u16901), tc_List_Olist(_u16901))), tc_fun(tc_fun(tc_List_Olist(_u16901), tc_List_Olist(_u16901)), tc_fun(tc_List_Olist(_u16901), tc_prod(tc_List_Olist(_u16901), tc_List_Olist(_u16901)))), tc_List_Olist(_u16901)), c_COMBB(tc_List_Olist(_u16901), tc_prod(tc_List_Olist(_u16901), tc_List_Olist(_u16901)), tc_List_Olist(_u16901))), c_Product__Type_OPair(tc_List_Olist(_u16901), tc_List_Olist(_u16901)))), hAPP(c_List_Olist_OCons(_u16901), _u16903)))), c_List_Opartition(_u16901, _u16902, _u16904))) )).
% 39.92/40.15 cnf(matrix-7013, plain, ( ( hAPP(c_Product__Type_Osnd(tc_List_Olist(_u16905), tc_List_Olist(_u16905)), c_List_Opartition(_u16905, _u16906, _u16907)) = hAPP(c_List_Ofilter(_u16905, hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, _u16905, c_fNot), _u16906)), _u16907)) )).
% 39.92/40.15 cnf(matrix-7014, plain, ( ( c_List_Opartition(_u16908, _u16909, _u16910) != hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16908), tc_List_Olist(_u16908)), _u16911), _u16912)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16908, tc_HOL_Obool)), hAPP(c_List_Oset(_u16908), _u16911)), hAPP(c_List_Oset(_u16908), _u16912)) = hAPP(c_List_Oset(_u16908), _u16910)) )).
% 39.92/40.15 cnf(matrix-7015, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(_u16913)), c_List_Otranspose__rel(_u16913)), hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u16913)), hAPP(hAPP(c_List_Olist_OCons(_u16913), _u16914), _u16915)), _u16916))) | ( c_List_Otranspose(_u16913, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u16913)), hAPP(hAPP(c_List_Olist_OCons(_u16913), _u16914), _u16915)), _u16916)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u16913)), hAPP(hAPP(c_List_Olist_OCons(_u16913), _u16914), c_List_Oconcat(_u16913, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u16913), tc_List_Olist(_u16913)), c_List_Olist_Olist__case(tc_List_Olist(_u16913), _u16913, c_List_Olist_ONil(_u16913), hAPP(hAPP(c_COMBB(tc_List_Olist(_u16913), tc_fun(tc_List_Olist(_u16913), tc_List_Olist(_u16913)), _u16913), c_COMBK(tc_List_Olist(_u16913), tc_List_Olist(_u16913))), hAPP(hAPP(c_COMBC(_u16913, tc_List_Olist(_u16913), tc_List_Olist(_u16913)), c_List_Olist_OCons(_u16913)), c_List_Olist_ONil(_u16913))))), _u16916)))), c_List_Otranspose(_u16913, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u16913)), _u16915), c_List_Oconcat(tc_List_Olist(_u16913), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u16913), tc_List_Olist(tc_List_Olist(_u16913))), c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(_u16913)), _u16913, c_List_Olist_ONil(tc_List_Olist(_u16913)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u16913), tc_List_Olist(tc_List_Olist(_u16913))), _u16913), hAPP(hAPP(c_COMBC(tc_List_Olist(_u16913), tc_List_Olist(tc_List_Olist(_u16913)), tc_List_Olist(tc_List_Olist(_u16913))), c_List_Olist_OCons(tc_List_Olist(_u16913))), c_List_Olist_ONil(tc_List_Olist(_u16913)))))), _u16916)))))) )).
% 39.92/40.15 cnf(matrix-7016, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16917), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16918)), _u16919))) | ( hAPP(hAPP(c_List_Olist__update(_u16918, _u16919), _u16917), _u16920) = hAPP(hAPP(c_List_Oappend(_u16918), hAPP(hAPP(c_List_Otake(_u16918), _u16917), _u16919)), hAPP(hAPP(c_List_Olist_OCons(_u16918), _u16920), hAPP(hAPP(c_List_Odrop(_u16918), hAPP(c_Nat_OSuc, _u16917)), _u16919)))) )).
% 39.92/40.15 cnf(matrix-7017, plain, ( ( hAPP(hAPP(c_List_Odrop(_u16921), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(hAPP(c_List_Olist_OCons(_u16921), _u16922), _u16923)) = _u16923) )).
% 39.92/40.15 cnf(matrix-7018, plain, ( ( hAPP(hAPP(c_List_Odrop(_u16924), hAPP(c_Nat_OSuc, _u16925)), hAPP(hAPP(c_List_Olist_OCons(_u16924), _u16926), _u16927)) = hAPP(hAPP(c_List_Odrop(_u16924), _u16925), _u16927)) )).
% 39.92/40.15 cnf(matrix-7019, plain, ( ( hAPP(hAPP(c_List_Odrop(_u16928), _u16929), _u16930) != hAPP(hAPP(c_List_Olist_OCons(_u16928), _u16931), _u16932)) | ( hAPP(hAPP(c_List_Onth(_u16928), _u16930), _u16929) = _u16931) )).
% 39.92/40.15 cnf(matrix-7020, plain, ( ( hAPP(hAPP(c_List_Odrop(_u16933), _u16934), hAPP(hAPP(c_List_Otake(_u16933), _u16935), _u16936)) = hAPP(hAPP(c_List_Otake(_u16933), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16935), _u16934)), hAPP(hAPP(c_List_Odrop(_u16933), _u16934), _u16936))) )).
% 39.92/40.15 cnf(matrix-7021, plain, ( ( hAPP(hAPP(c_List_Otake(_u16937), _u16938), hAPP(hAPP(c_List_Odrop(_u16937), _u16939), _u16940)) = hAPP(hAPP(c_List_Odrop(_u16937), _u16939), hAPP(hAPP(c_List_Otake(_u16937), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16938), _u16939)), _u16940))) )).
% 39.92/40.15 cnf(matrix-7022, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16941), _u16942)) | hBOOL(hAPP(c_List_Odistinct(_u16941), hAPP(hAPP(c_List_Odrop(_u16941), _u16943), _u16942))) )).
% 39.92/40.15 cnf(matrix-7023, plain, ( ( hAPP(hAPP(c_List_Odrop(tc_prod(_u16944, _u16945)), _u16946), hAPP(hAPP(c_List_Ozip(_u16944, _u16945), _u16947), _u16948)) = hAPP(hAPP(c_List_Ozip(_u16944, _u16945), hAPP(hAPP(c_List_Odrop(_u16944), _u16946), _u16947)), hAPP(hAPP(c_List_Odrop(_u16945), _u16946), _u16948))) )).
% 39.92/40.15 cnf(matrix-7024, plain, ( ( c_List_Obutlast(_u16949, hAPP(hAPP(c_List_Odrop(_u16949), _u16950), _u16951)) = hAPP(hAPP(c_List_Odrop(_u16949), _u16950), c_List_Obutlast(_u16949, _u16951))) )).
% 39.92/40.15 cnf(matrix-7025, plain, ( ( hAPP(hAPP(c_List_Odrop(_u16952), _u16953), c_List_Obutlast(_u16952, _u16954)) = c_List_Obutlast(_u16952, hAPP(hAPP(c_List_Odrop(_u16952), _u16953), _u16954))) )).
% 39.92/40.15 cnf(matrix-7026, plain, ( ( hAPP(hAPP(c_List_Odrop(_u16955), _u16956), hAPP(hAPP(c_List_Odrop(_u16955), _u16957), _u16958)) = hAPP(hAPP(c_List_Odrop(_u16955), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16956), _u16957)), _u16958)) )).
% 39.92/40.15 cnf(matrix-7027, plain, ( ( hAPP(hAPP(c_List_Odrop(_u16959), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u16960) = _u16960) )).
% 39.92/40.15 cnf(matrix-7028, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u16961), _u16962), hAPP(c_List_Oset(_u16961), hAPP(hAPP(c_List_Odrop(_u16961), _u16963), _u16964)))) | hBOOL(hAPP(hAPP(c_member(_u16961), _u16962), hAPP(c_List_Oset(_u16961), _u16964))) )).
% 39.92/40.15 cnf(matrix-7029, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16965)), hAPP(hAPP(c_List_Odrop(_u16965), _u16966), _u16967)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16965)), _u16967)), _u16966)) )).
% 39.92/40.15 cnf(matrix-7030, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16968, tc_HOL_Obool)), hAPP(c_List_Oset(_u16968), hAPP(hAPP(c_List_Odrop(_u16968), _u16969), _u16970))), hAPP(c_List_Oset(_u16968), _u16970))) )).
% 39.92/40.15 cnf(matrix-7031, plain, ( ( hAPP(hAPP(c_List_Odrop(tc_Nat_Onat), _u16971), c_List_Oupt(_u16972, _u16973)) = c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16972), _u16971), _u16973)) )).
% 39.92/40.15 cnf(matrix-7032, plain, ( ( hAPP(hAPP(c_List_Odrop(_u16974), _u16975), c_List_Olist_ONil(_u16974)) = c_List_Olist_ONil(_u16974)) )).
% 39.92/40.15 cnf(matrix-7033, plain, ( ( hAPP(hAPP(c_List_Odrop(_u16976), _u16977), hAPP(hAPP(c_List_Omap(_u16978, _u16976), _u16979), _u16980)) = hAPP(hAPP(c_List_Omap(_u16978, _u16976), _u16979), hAPP(hAPP(c_List_Odrop(_u16978), _u16977), _u16980))) )).
% 39.92/40.15 cnf(matrix-7034, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16981), hAPP(hAPP(c_List_Otake(_u16981), _u16982), _u16983)), hAPP(hAPP(c_List_Odrop(_u16981), _u16982), _u16983)) = _u16983) )).
% 39.92/40.15 cnf(matrix-7035, plain, ( ( c_List_Oconcat(_u16984, c_List_Olist_ONil(tc_List_Olist(_u16984))) = c_List_Olist_ONil(_u16984)) )).
% 39.92/40.15 cnf(matrix-7036, plain, ( ( c_List_Oconcat(_u16985, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u16985)), _u16986), _u16987)) = hAPP(hAPP(c_List_Oappend(_u16985), _u16986), c_List_Oconcat(_u16985, _u16987))) )).
% 39.92/40.15 cnf(matrix-7037, plain, ( ( c_List_Olist_ONil(_u16992) != c_List_Oconcat(_u16992, _u16994)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16992)), _u16988), hAPP(c_List_Oset(tc_List_Olist(_u16992)), _u16994))) | ( _u16988 = c_List_Olist_ONil(_u16992)) )).
% 39.92/40.15 cnf(matrix-7038, plain, ( ( c_List_Olist_ONil(_u16993) = c_List_Oconcat(_u16993, _u16995)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16993)), skolem400(_u16995, _u16993)), hAPP(c_List_Oset(tc_List_Olist(_u16993)), _u16995))) )).
% 39.92/40.15 cnf(matrix-7039, plain, ( ( c_List_Olist_ONil(_u16993) = c_List_Oconcat(_u16993, _u16995)) | ( skolem400(_u16995, _u16993) != c_List_Olist_ONil(_u16993)) )).
% 39.92/40.15 cnf(matrix-7040, plain, ( ( c_List_Oconcat(_u17000, _u17002) != c_List_Olist_ONil(_u17000)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17000)), _u16996), hAPP(c_List_Oset(tc_List_Olist(_u17000)), _u17002))) | ( _u16996 = c_List_Olist_ONil(_u17000)) )).
% 39.92/40.15 cnf(matrix-7041, plain, ( ( c_List_Oconcat(_u17001, _u17003) = c_List_Olist_ONil(_u17001)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17001)), skolem401(_u17003, _u17001)), hAPP(c_List_Oset(tc_List_Olist(_u17001)), _u17003))) )).
% 39.92/40.15 cnf(matrix-7042, plain, ( ( c_List_Oconcat(_u17001, _u17003) = c_List_Olist_ONil(_u17001)) | ( skolem401(_u17003, _u17001) != c_List_Olist_ONil(_u17001)) )).
% 39.92/40.15 cnf(matrix-7043, plain, ( ( hAPP(hAPP(c_List_Omap(_u17004, _u17005), _u17006), c_List_Oconcat(_u17004, _u17007)) = c_List_Oconcat(_u17005, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17004), tc_List_Olist(_u17005)), hAPP(c_List_Omap(_u17004, _u17005), _u17006)), _u17007))) )).
% 39.92/40.15 cnf(matrix-7044, plain, ( ( hAPP(c_List_Ofilter(_u17008, _u17009), c_List_Oconcat(_u17008, _u17010)) = c_List_Oconcat(_u17008, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17008), tc_List_Olist(_u17008)), c_List_Ofilter(_u17008, _u17009)), _u17010))) )).
% 39.92/40.15 cnf(matrix-7045, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17011), _u17012)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17013, tc_HOL_Obool)), hAPP(c_List_Oset(_u17013), hAPP(hAPP(c_List_Odrop(_u17013), _u17012), _u17014))), hAPP(c_List_Oset(_u17013), hAPP(hAPP(c_List_Odrop(_u17013), _u17011), _u17014)))) )).
% 39.92/40.15 cnf(matrix-7046, plain, ( ( hAPP(hAPP(c_List_Odrop(_u17018), _u17020), _u17022) != c_List_Olist_ONil(_u17018)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17018)), _u17022)), _u17020)) )).
% 39.92/40.15 cnf(matrix-7047, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17019)), _u17023)), _u17021)) | ( hAPP(hAPP(c_List_Odrop(_u17019), _u17021), _u17023) = c_List_Olist_ONil(_u17019)) )).
% 39.92/40.15 cnf(matrix-7048, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17024)), _u17025)), _u17026)) | ( hAPP(hAPP(c_List_Odrop(_u17024), _u17026), _u17025) = c_List_Olist_ONil(_u17024)) )).
% 39.92/40.15 cnf(matrix-7049, plain, ( ( hAPP(hAPP(c_List_Odrop(_u17027), _u17028), hAPP(hAPP(c_List_Oappend(_u17027), _u17029), _u17030)) = hAPP(hAPP(c_List_Oappend(_u17027), hAPP(hAPP(c_List_Odrop(_u17027), _u17028), _u17029)), hAPP(hAPP(c_List_Odrop(_u17027), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u17028), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17027)), _u17029))), _u17030))) )).
% 39.92/40.15 cnf(matrix-7050, plain, ( ( hAPP(hAPP(c_List_Oappend(_u17035), _u17037), _u17039) != _u17041) | ( _u17037 = hAPP(hAPP(c_List_Otake(_u17035), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17035)), _u17037)), _u17041)) )).
% 39.92/40.15 cnf(matrix-7051, plain, ( ( hAPP(hAPP(c_List_Oappend(_u17035), _u17037), _u17039) != _u17041) | ( _u17039 = hAPP(hAPP(c_List_Odrop(_u17035), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17035)), _u17037)), _u17041)) )).
% 39.92/40.15 cnf(matrix-7052, plain, ( ( _u17038 != hAPP(hAPP(c_List_Otake(_u17036), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17036)), _u17038)), _u17042)) | ( _u17040 != hAPP(hAPP(c_List_Odrop(_u17036), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17036)), _u17038)), _u17042)) | ( hAPP(hAPP(c_List_Oappend(_u17036), _u17038), _u17040) = _u17042) )).
% 39.92/40.15 cnf(matrix-7053, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17043)), c_List_Oconcat(_u17043, _u17044)) = hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17043), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u17043))), _u17044))) )).
% 39.92/40.15 cnf(matrix-7054, plain, ( ( hAPP(hAPP(c_List_Odrop(_u17045), _u17046), hAPP(hAPP(c_List_Olist_OCons(_u17045), _u17047), _u17048)) = c_Nat_Onat_Onat__case(tc_List_Olist(_u17045), hAPP(hAPP(c_List_Olist_OCons(_u17045), _u17047), _u17048), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(_u17045), tc_List_Olist(_u17045)), c_List_Odrop(_u17045)), _u17048), _u17046)) )).
% 39.92/40.15 cnf(matrix-7055, plain, ( ( hAPP(c_List_Oset(_u17049), c_List_Oconcat(_u17049, _u17050)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(_u17049), tc_fun(_u17049, tc_HOL_Obool)), hAPP(c_List_Oset(tc_List_Olist(_u17049)), _u17050)), c_List_Oset(_u17049))) )).
% 39.92/40.15 cnf(matrix-7056, plain, ( ( c_List_Oconcat(_u17051, hAPP(hAPP(c_List_Oappend(tc_List_Olist(_u17051)), _u17052), _u17053)) = hAPP(hAPP(c_List_Oappend(_u17051), c_List_Oconcat(_u17051, _u17052)), c_List_Oconcat(_u17051, _u17053))) )).
% 39.92/40.15 cnf(matrix-7057, plain, ( ( _u17058 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u17060), _u17058), hAPP(hAPP(c_List_Olist_OCons(_u17060), _u17062), _u17064)) = hAPP(hAPP(c_List_Olist_OCons(_u17060), _u17062), _u17064)) )).
% 39.92/40.15 cnf(matrix-7058, plain, ( ( _u17059 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u17061), _u17059), hAPP(hAPP(c_List_Olist_OCons(_u17061), _u17063), _u17065)) = hAPP(hAPP(c_List_Odrop(_u17061), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u17059), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u17065)) )).
% 39.92/40.15 cnf(matrix-7059, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17066), _u17067)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17068)), _u17069))) | ( hAPP(hAPP(c_List_Onth(_u17068), hAPP(hAPP(c_List_Odrop(_u17068), _u17066), _u17069)), _u17067) = hAPP(hAPP(c_List_Onth(_u17068), _u17069), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17066), _u17067))) )).
% 39.92/40.15 cnf(matrix-7060, plain, ( ( hAPP(hAPP(c_List_Oappend(_u17075), _u17077), _u17079) != hAPP(hAPP(c_List_Oappend(_u17075), _u17081), _u17083)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17075)), _u17077)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17075)), _u17081))) | ( _u17077 = hAPP(hAPP(c_List_Otake(_u17075), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17075)), _u17077)), _u17081)) )).
% 39.92/40.15 cnf(matrix-7061, plain, ( ( hAPP(hAPP(c_List_Oappend(_u17075), _u17077), _u17079) != hAPP(hAPP(c_List_Oappend(_u17075), _u17081), _u17083)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17075)), _u17077)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17075)), _u17081))) | ( _u17079 = hAPP(hAPP(c_List_Oappend(_u17075), hAPP(hAPP(c_List_Odrop(_u17075), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17075)), _u17077)), _u17081)), _u17083)) )).
% 39.92/40.15 cnf(matrix-7062, plain, ( ( hAPP(hAPP(c_List_Oappend(_u17075), _u17077), _u17079) != hAPP(hAPP(c_List_Oappend(_u17075), _u17081), _u17083)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17075)), _u17077)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17075)), _u17081))) | ( hAPP(hAPP(c_List_Otake(_u17075), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17075)), _u17081)), _u17077) = _u17081) )).
% 39.92/40.15 cnf(matrix-7063, plain, ( ( hAPP(hAPP(c_List_Oappend(_u17075), _u17077), _u17079) != hAPP(hAPP(c_List_Oappend(_u17075), _u17081), _u17083)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17075)), _u17077)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17075)), _u17081))) | ( hAPP(hAPP(c_List_Oappend(_u17075), hAPP(hAPP(c_List_Odrop(_u17075), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17075)), _u17081)), _u17077)), _u17079) = _u17083) )).
% 39.92/40.15 cnf(matrix-7064, plain, ( ( hAPP(hAPP(c_List_Oappend(_u17076), _u17078), _u17080) = hAPP(hAPP(c_List_Oappend(_u17076), _u17082), _u17084)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17076)), _u17078)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17076)), _u17082))) | ( hAPP(hAPP(c_List_Otake(_u17076), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17076)), _u17082)), _u17078) != _u17082) | ( hAPP(hAPP(c_List_Oappend(_u17076), hAPP(hAPP(c_List_Odrop(_u17076), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17076)), _u17082)), _u17078)), _u17080) != _u17084) )).
% 39.92/40.15 cnf(matrix-7065, plain, ( ( hAPP(hAPP(c_List_Oappend(_u17076), _u17078), _u17080) = hAPP(hAPP(c_List_Oappend(_u17076), _u17082), _u17084)) | ( _u17078 != hAPP(hAPP(c_List_Otake(_u17076), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17076)), _u17078)), _u17082)) | ( _u17080 != hAPP(hAPP(c_List_Oappend(_u17076), hAPP(hAPP(c_List_Odrop(_u17076), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17076)), _u17078)), _u17082)), _u17084)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17076)), _u17078)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17076)), _u17082))) )).
% 39.92/40.15 cnf(matrix-7066, plain, ( ( hAPP(hAPP(c_List_Oappend(_u17076), _u17078), _u17080) = hAPP(hAPP(c_List_Oappend(_u17076), _u17082), _u17084)) | ( _u17078 != hAPP(hAPP(c_List_Otake(_u17076), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17076)), _u17078)), _u17082)) | ( _u17080 != hAPP(hAPP(c_List_Oappend(_u17076), hAPP(hAPP(c_List_Odrop(_u17076), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17076)), _u17078)), _u17082)), _u17084)) | ( hAPP(hAPP(c_List_Otake(_u17076), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17076)), _u17082)), _u17078) != _u17082) | ( hAPP(hAPP(c_List_Oappend(_u17076), hAPP(hAPP(c_List_Odrop(_u17076), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17076)), _u17082)), _u17078)), _u17080) != _u17084) )).
% 39.92/40.15 cnf(matrix-7067, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17085), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17086)), _u17087))) | ( hAPP(hAPP(c_List_Olist_OCons(_u17086), hAPP(hAPP(c_List_Onth(_u17086), _u17087), _u17085)), hAPP(hAPP(c_List_Odrop(_u17086), hAPP(c_Nat_OSuc, _u17085)), _u17087)) = hAPP(hAPP(c_List_Odrop(_u17086), _u17085), _u17087)) )).
% 39.92/40.15 cnf(matrix-7068, plain, ( ( c_List_Otranspose(_u17088, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17088)), hAPP(hAPP(c_List_Olist_OCons(_u17088), _u17089), _u17090)), _u17091)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17088)), hAPP(hAPP(c_List_Olist_OCons(_u17088), _u17089), c_List_Oconcat(_u17088, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17088), tc_List_Olist(_u17088)), c_List_Olist_Olist__case(tc_List_Olist(_u17088), _u17088, c_List_Olist_ONil(_u17088), hAPP(hAPP(c_COMBB(tc_List_Olist(_u17088), tc_fun(tc_List_Olist(_u17088), tc_List_Olist(_u17088)), _u17088), c_COMBK(tc_List_Olist(_u17088), tc_List_Olist(_u17088))), hAPP(hAPP(c_COMBC(_u17088, tc_List_Olist(_u17088), tc_List_Olist(_u17088)), c_List_Olist_OCons(_u17088)), c_List_Olist_ONil(_u17088))))), _u17091)))), c_List_Otranspose(_u17088, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17088)), _u17090), c_List_Oconcat(tc_List_Olist(_u17088), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17088), tc_List_Olist(tc_List_Olist(_u17088))), c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(_u17088)), _u17088, c_List_Olist_ONil(tc_List_Olist(_u17088)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u17088), tc_List_Olist(tc_List_Olist(_u17088))), _u17088), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17088), tc_List_Olist(tc_List_Olist(_u17088)), tc_List_Olist(tc_List_Olist(_u17088))), c_List_Olist_OCons(tc_List_Olist(_u17088))), c_List_Olist_ONil(tc_List_Olist(_u17088)))))), _u17091)))))) )).
% 39.92/40.15 cnf(matrix-7069, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17096) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u17098), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17096)), hAPP(hAPP(c_List_Olist_OCons(_u17098), _u17100), _u17102)) = hAPP(hAPP(c_List_Olist_OCons(_u17098), _u17100), _u17102)) )).
% 39.92/40.15 cnf(matrix-7070, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17097) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u17099), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17097)), hAPP(hAPP(c_List_Olist_OCons(_u17099), _u17101), _u17103)) = hAPP(hAPP(c_List_Odrop(_u17099), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17097)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u17103)) )).
% 39.92/40.15 cnf(matrix-7071, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17104), _u17105)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17106)), _u17107))) | ( hAPP(hAPP(c_List_Otake(_u17106), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17104), _u17105)), _u17107) = hAPP(hAPP(c_List_Oappend(_u17106), hAPP(hAPP(c_List_Otake(_u17106), _u17104), _u17107)), hAPP(hAPP(c_List_Otake(_u17106), _u17105), hAPP(hAPP(c_List_Odrop(_u17106), _u17104), _u17107)))) )).
% 39.92/40.15 cnf(matrix-7072, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17109), tc_List_Olist(_u17109))), skolem402(_u17111, _u17110, _u17109)), hAPP(c_List_Oset(tc_prod(tc_List_Olist(_u17109), tc_List_Olist(_u17109))), hAPP(hAPP(c_List_Ozip(tc_List_Olist(_u17109), tc_List_Olist(_u17109)), _u17110), _u17111)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17109))), _u17110) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17109))), _u17111)) | ( c_List_Oconcat(_u17109, _u17110) != c_List_Oconcat(_u17109, _u17111)) | ( _u17110 = _u17111) )).
% 39.92/40.15 cnf(matrix-7073, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17109), tc_List_Olist(_u17109))), skolem402(_u17111, _u17110, _u17109)), hAPP(c_List_Oset(tc_prod(tc_List_Olist(_u17109), tc_List_Olist(_u17109))), hAPP(hAPP(c_List_Ozip(tc_List_Olist(_u17109), tc_List_Olist(_u17109)), _u17110), _u17111)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17109))), _u17110) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17109))), _u17111)) | ( _u17110 != _u17111) | ( c_List_Oconcat(_u17109, _u17110) = c_List_Oconcat(_u17109, _u17111)) )).
% 39.92/40.15 cnf(matrix-7074, plain, ( ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u17109), tc_List_Olist(_u17109), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17109), tc_fun(tc_List_Olist(_u17109), tc_Nat_Onat), tc_fun(tc_List_Olist(_u17109), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u17109), tc_Nat_Onat), tc_fun(tc_List_Olist(_u17109), tc_HOL_Obool)), tc_List_Olist(_u17109)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u17109))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u17109)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u17109))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u17109)))), skolem402(_u17111, _u17110, _u17109))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17109))), _u17110) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17109))), _u17111)) | ( c_List_Oconcat(_u17109, _u17110) != c_List_Oconcat(_u17109, _u17111)) | ( _u17110 = _u17111) )).
% 39.92/40.15 cnf(matrix-7075, plain, ( ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u17109), tc_List_Olist(_u17109), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17109), tc_fun(tc_List_Olist(_u17109), tc_Nat_Onat), tc_fun(tc_List_Olist(_u17109), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u17109), tc_Nat_Onat), tc_fun(tc_List_Olist(_u17109), tc_HOL_Obool)), tc_List_Olist(_u17109)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u17109))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u17109)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u17109))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u17109)))), skolem402(_u17111, _u17110, _u17109))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17109))), _u17110) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17109))), _u17111)) | ( _u17110 != _u17111) | ( c_List_Oconcat(_u17109, _u17110) = c_List_Oconcat(_u17109, _u17111)) )).
% 39.92/40.15 cnf(matrix-7076, plain, ( ( c_List_Oconcat(_u17113, _u17114) != c_List_Oconcat(_u17113, _u17115)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17113))), _u17114) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17113))), _u17115)) | ( _u17114 = _u17115) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17113), tc_List_Olist(_u17113))), skolem403(_u17115, _u17114, _u17113)), hAPP(c_List_Oset(tc_prod(tc_List_Olist(_u17113), tc_List_Olist(_u17113))), hAPP(hAPP(c_List_Ozip(tc_List_Olist(_u17113), tc_List_Olist(_u17113)), _u17114), _u17115)))) )).
% 39.92/40.15 cnf(matrix-7077, plain, ( ( c_List_Oconcat(_u17113, _u17114) != c_List_Oconcat(_u17113, _u17115)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17113))), _u17114) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17113))), _u17115)) | ( _u17114 = _u17115) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u17113), tc_List_Olist(_u17113), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17113), tc_fun(tc_List_Olist(_u17113), tc_Nat_Onat), tc_fun(tc_List_Olist(_u17113), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u17113), tc_Nat_Onat), tc_fun(tc_List_Olist(_u17113), tc_HOL_Obool)), tc_List_Olist(_u17113)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u17113))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u17113)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u17113))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u17113)))), skolem403(_u17115, _u17114, _u17113))) )).
% 39.92/40.15 cnf(matrix-7078, plain, ( ( c_List_Oconcat(_u17116, hAPP(hAPP(c_List_Omap(_u17117, tc_List_Olist(_u17116)), hAPP(hAPP(c_COMBC(_u17117, tc_List_Olist(_u17116), tc_List_Olist(_u17116)), hAPP(hAPP(c_COMBB(_u17116, tc_fun(tc_List_Olist(_u17116), tc_List_Olist(_u17116)), _u17117), c_List_Olist_OCons(_u17116)), _u17118)), c_List_Olist_ONil(_u17116))), _u17119)) = hAPP(hAPP(c_List_Omap(_u17117, _u17116), _u17118), _u17119)) )).
% 39.92/40.15 cnf(matrix-7079, plain, ( ( hAPP(hAPP(c_List_Ozip(_u17120, _u17121), hAPP(hAPP(c_List_Oappend(_u17120), _u17122), _u17123)), _u17124) = hAPP(hAPP(c_List_Oappend(tc_prod(_u17120, _u17121)), hAPP(hAPP(c_List_Ozip(_u17120, _u17121), _u17122), hAPP(hAPP(c_List_Otake(_u17121), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17120)), _u17122)), _u17124))), hAPP(hAPP(c_List_Ozip(_u17120, _u17121), _u17123), hAPP(hAPP(c_List_Odrop(_u17121), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17120)), _u17122)), _u17124)))) )).
% 39.92/40.15 cnf(matrix-7080, plain, ( ( hAPP(hAPP(c_List_Ozip(_u17125, _u17126), _u17127), hAPP(hAPP(c_List_Oappend(_u17126), _u17128), _u17129)) = hAPP(hAPP(c_List_Oappend(tc_prod(_u17125, _u17126)), hAPP(hAPP(c_List_Ozip(_u17125, _u17126), hAPP(hAPP(c_List_Otake(_u17125), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17126)), _u17128)), _u17127)), _u17128)), hAPP(hAPP(c_List_Ozip(_u17125, _u17126), hAPP(hAPP(c_List_Odrop(_u17125), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17126)), _u17128)), _u17127)), _u17129))) )).
% 39.92/40.15 cnf(matrix-7081, plain, ( ( c_Enum_On__lists(_u17130, hAPP(c_Nat_OSuc, _u17131), _u17132) = c_List_Oconcat(tc_List_Olist(_u17130), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17130), tc_List_Olist(tc_List_Olist(_u17130))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17130), tc_List_Olist(_u17130), tc_List_Olist(tc_List_Olist(_u17130))), hAPP(hAPP(c_COMBB(tc_fun(_u17130, tc_List_Olist(_u17130)), tc_fun(tc_List_Olist(_u17130), tc_List_Olist(tc_List_Olist(_u17130))), tc_List_Olist(_u17130)), c_List_Omap(_u17130, tc_List_Olist(_u17130))), hAPP(c_COMBC(_u17130, tc_List_Olist(_u17130), tc_List_Olist(_u17130)), c_List_Olist_OCons(_u17130)))), _u17132)), c_Enum_On__lists(_u17130, _u17131, _u17132)))) )).
% 39.92/40.15 cnf(matrix-7082, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17133), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17134)), _u17135))) | ( _u17135 = hAPP(hAPP(c_List_Oappend(_u17134), hAPP(hAPP(c_List_Otake(_u17134), _u17133), _u17135)), hAPP(hAPP(c_List_Olist_OCons(_u17134), hAPP(hAPP(c_List_Onth(_u17134), _u17135), _u17133)), hAPP(hAPP(c_List_Odrop(_u17134), hAPP(c_Nat_OSuc, _u17133)), _u17135)))) )).
% 39.92/40.15 cnf(matrix-7083, plain, ( ( c_List_Oconcat(tc_List_Olist(_u17136), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17136), tc_List_Olist(tc_List_Olist(_u17136))), c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(_u17136)), _u17136, c_List_Olist_ONil(tc_List_Olist(_u17136)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u17136), tc_List_Olist(tc_List_Olist(_u17136))), _u17136), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17136), tc_List_Olist(tc_List_Olist(_u17136)), tc_List_Olist(tc_List_Olist(_u17136))), c_List_Olist_OCons(tc_List_Olist(_u17136))), c_List_Olist_ONil(tc_List_Olist(_u17136)))))), _u17137)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17136), tc_List_Olist(_u17136)), c_List_Otl(_u17136)), hAPP(c_List_Ofilter(tc_List_Olist(_u17136), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u17136)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17136), tc_List_Olist(_u17136), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u17136)))), _u17137))) )).
% 39.92/40.15 cnf(matrix-7084, plain, ( ( c_List_Oconcat(_u17138, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17138), tc_List_Olist(_u17138)), c_List_Olist_Olist__case(tc_List_Olist(_u17138), _u17138, c_List_Olist_ONil(_u17138), hAPP(hAPP(c_COMBB(tc_List_Olist(_u17138), tc_fun(tc_List_Olist(_u17138), tc_List_Olist(_u17138)), _u17138), c_COMBK(tc_List_Olist(_u17138), tc_List_Olist(_u17138))), hAPP(hAPP(c_COMBC(_u17138, tc_List_Olist(_u17138), tc_List_Olist(_u17138)), c_List_Olist_OCons(_u17138)), c_List_Olist_ONil(_u17138))))), _u17139)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17138), _u17138), c_List_Ohd(_u17138)), hAPP(c_List_Ofilter(tc_List_Olist(_u17138), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u17138)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17138), tc_List_Olist(_u17138), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u17138)))), _u17139))) )).
% 39.92/40.15 cnf(matrix-7085, plain, ( ( hAPP(hAPP(c_List_Odrop(_u17140), _u17141), hAPP(c_List_Otl(_u17140), _u17142)) = hAPP(c_List_Otl(_u17140), hAPP(hAPP(c_List_Odrop(_u17140), _u17141), _u17142))) )).
% 39.92/40.15 cnf(matrix-7086, plain, ( ( hAPP(c_List_Otl(_u17143), hAPP(hAPP(c_List_Odrop(_u17143), _u17144), _u17145)) = hAPP(hAPP(c_List_Odrop(_u17143), _u17144), hAPP(c_List_Otl(_u17143), _u17145))) )).
% 39.92/40.15 cnf(matrix-7087, plain, ( ( hAPP(hAPP(c_List_Omap(_u17146, _u17147), _u17148), hAPP(c_List_Otl(_u17146), _u17149)) = hAPP(c_List_Otl(_u17147), hAPP(hAPP(c_List_Omap(_u17146, _u17147), _u17148), _u17149))) )).
% 39.92/40.15 cnf(matrix-7088, plain, ( ( hAPP(c_List_Otl(_u17150), c_List_Olist_ONil(_u17150)) = c_List_Olist_ONil(_u17150)) )).
% 39.92/40.15 cnf(matrix-7089, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17151), _u17152)) | hBOOL(hAPP(c_List_Odistinct(_u17151), hAPP(c_List_Otl(_u17151), _u17152))) )).
% 39.92/40.15 cnf(matrix-7090, plain, ( ( hAPP(c_List_Ohd(_u17153), hAPP(hAPP(c_List_Olist_OCons(_u17153), _u17154), _u17155)) = _u17154) )).
% 39.92/40.15 cnf(matrix-7091, plain, ( ( hAPP(c_List_Otl(_u17156), hAPP(hAPP(c_List_Olist_OCons(_u17156), _u17157), _u17158)) = _u17158) )).
% 39.92/40.15 cnf(matrix-7092, plain, ( ( _u17159 = c_List_Olist_ONil(_u17160)) | ( hAPP(hAPP(c_List_Otake(_u17160), hAPP(c_Nat_OSuc, _u17161)), _u17159) = hAPP(hAPP(c_List_Olist_OCons(_u17160), hAPP(c_List_Ohd(_u17160), _u17159)), hAPP(hAPP(c_List_Otake(_u17160), _u17161), hAPP(c_List_Otl(_u17160), _u17159)))) )).
% 39.92/40.15 cnf(matrix-7093, plain, ( ( _u17162 = c_List_Olist_ONil(_u17163)) | ( hAPP(c_List_Otl(_u17163), hAPP(hAPP(c_List_Oappend(_u17163), _u17162), _u17164)) = hAPP(hAPP(c_List_Oappend(_u17163), hAPP(c_List_Otl(_u17163), _u17162)), _u17164)) )).
% 39.92/40.15 cnf(matrix-7094, plain, ( ( _u17165 = c_List_Olist_ONil(_u17166)) | ( hAPP(c_List_Orotate1(_u17166), _u17165) = hAPP(hAPP(c_List_Oappend(_u17166), hAPP(c_List_Otl(_u17166), _u17165)), hAPP(hAPP(c_List_Olist_OCons(_u17166), hAPP(c_List_Ohd(_u17166), _u17165)), c_List_Olist_ONil(_u17166)))) )).
% 39.92/40.15 cnf(matrix-7095, plain, ( ( hAPP(hAPP(c_List_Otake(_u17167), _u17168), hAPP(c_List_Otl(_u17167), _u17169)) = hAPP(c_List_Otl(_u17167), hAPP(hAPP(c_List_Otake(_u17167), hAPP(c_Nat_OSuc, _u17168)), _u17169))) )).
% 39.92/40.15 cnf(matrix-7096, plain, ( ( hAPP(hAPP(c_List_Odrop(_u17170), hAPP(c_Nat_OSuc, _u17171)), _u17172) = hAPP(hAPP(c_List_Odrop(_u17170), _u17171), hAPP(c_List_Otl(_u17170), _u17172))) )).
% 39.92/40.15 cnf(matrix-7097, plain, ( ( _u17173 = c_List_Olist_ONil(_u17174)) | ( hAPP(c_List_Ohd(_u17175), hAPP(hAPP(c_List_Omap(_u17174, _u17175), _u17176), _u17173)) = hAPP(_u17176, hAPP(c_List_Ohd(_u17174), _u17173))) )).
% 39.92/40.15 cnf(matrix-7098, plain, ( ( _u17180 != c_List_Olist_ONil(_u17182)) | ( hAPP(c_List_Ohd(_u17182), hAPP(hAPP(c_List_Oappend(_u17182), _u17180), _u17184)) = hAPP(c_List_Ohd(_u17182), _u17184)) )).
% 39.92/40.15 cnf(matrix-7099, plain, ( ( _u17181 = c_List_Olist_ONil(_u17183)) | ( hAPP(c_List_Ohd(_u17183), hAPP(hAPP(c_List_Oappend(_u17183), _u17181), _u17185)) = hAPP(c_List_Ohd(_u17183), _u17181)) )).
% 39.92/40.15 cnf(matrix-7100, plain, ( ( _u17186 = c_List_Olist_ONil(_u17187)) | ( hAPP(c_List_Ohd(_u17187), hAPP(hAPP(c_List_Oappend(_u17187), _u17186), _u17188)) = hAPP(c_List_Ohd(_u17187), _u17186)) )).
% 39.92/40.15 cnf(matrix-7101, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17189), _u17190)) | ( hAPP(c_List_Ohd(tc_Nat_Onat), c_List_Oupt(_u17189, _u17190)) = _u17189) )).
% 39.92/40.15 cnf(matrix-7102, plain, ( ( hAPP(c_List_Otl(_u17191), hAPP(hAPP(c_List_Oappend(_u17191), _u17192), _u17193)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(_u17191), _u17191, hAPP(c_List_Otl(_u17191), _u17193), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u17191), tc_List_Olist(_u17191)), _u17191), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17191), tc_List_Olist(_u17191), tc_List_Olist(_u17191)), c_List_Oappend(_u17191)), _u17193))), _u17192)) )).
% 39.92/40.15 cnf(matrix-7103, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17194)), hAPP(c_List_Otl(_u17194), _u17195)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17194)), _u17195)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 39.92/40.15 cnf(matrix-7104, plain, ( ( _u17196 = c_List_Olist_ONil(_u17197)) | hBOOL(hAPP(hAPP(c_member(_u17197), hAPP(c_List_Ohd(_u17197), _u17196)), hAPP(c_List_Oset(_u17197), _u17196))) )).
% 39.92/40.15 cnf(matrix-7105, plain, ( ( hAPP(c_List_Otl(_u17198), hAPP(hAPP(c_List_Otake(_u17198), _u17199), _u17200)) = hAPP(hAPP(c_List_Otake(_u17198), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u17199), c_Groups_Oone__class_Oone(tc_Nat_Onat))), hAPP(c_List_Otl(_u17198), _u17200))) )).
% 39.92/40.15 cnf(matrix-7106, plain, ( ( _u17201 = c_List_Olist_ONil(_u17202)) | ( hAPP(c_List_Ohd(_u17202), _u17201) = hAPP(hAPP(c_List_Onth(_u17202), _u17201), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 39.92/40.15 cnf(matrix-7107, plain, ( ( _u17203 = c_List_Olist_ONil(_u17204)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17205), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17204)), _u17203))) | ( hAPP(c_List_Ohd(_u17204), hAPP(hAPP(c_List_Odrop(_u17204), _u17205), _u17203)) = hAPP(hAPP(c_List_Onth(_u17204), _u17203), _u17205)) )).
% 39.92/40.15 cnf(matrix-7108, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17206), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17207)), _u17208))) | ( hAPP(hAPP(c_List_Oappend(_u17207), hAPP(hAPP(c_List_Otake(_u17207), _u17206), _u17208)), hAPP(hAPP(c_List_Olist_OCons(_u17207), hAPP(c_List_Ohd(_u17207), hAPP(hAPP(c_List_Odrop(_u17207), _u17206), _u17208))), c_List_Olist_ONil(_u17207))) = hAPP(hAPP(c_List_Otake(_u17207), hAPP(c_Nat_OSuc, _u17206)), _u17208)) )).
% 39.92/40.15 cnf(matrix-7109, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17209)), c_List_Oremdups(_u17209, c_List_Oconcat(_u17209, _u17210))) = hAPP(c_Finite__Set_Ocard(_u17209), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(_u17209), tc_fun(_u17209, tc_HOL_Obool)), hAPP(c_List_Oset(tc_List_Olist(_u17209)), _u17210)), c_List_Oset(_u17209)))) )).
% 39.92/40.15 cnf(matrix-7110, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u17211) | ( _u17212 = c_List_Olist_ONil(_u17211)) | ( hAPP(c_Finite__Set_Ofold1(_u17211, c_Groups_Otimes__class_Otimes(_u17211)), hAPP(c_List_Oset(_u17211), _u17212)) = hAPP(c_List_Ofoldl(_u17211, _u17211, c_Groups_Otimes__class_Otimes(_u17211), hAPP(c_List_Ohd(_u17211), _u17212)), hAPP(c_List_Otl(_u17211), _u17212))) )).
% 39.92/40.15 cnf(matrix-7111, plain, ( hBOOL(hAPP(c_List_Odistinct(_u17213), c_List_Oremdups(_u17213, _u17214))) )).
% 39.92/40.15 cnf(matrix-7112, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17215)), c_List_Oremdups(_u17215, _u17216))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17215)), _u17216))) )).
% 39.92/40.15 cnf(matrix-7113, plain, ( ( hAPP(c_List_Ofoldl(_u17217, _u17218, _u17219, _u17220), hAPP(hAPP(c_List_Omap(_u17221, _u17218), _u17222), _u17223)) = hAPP(c_List_Ofoldl(_u17217, _u17221, hAPP(hAPP(c_COMBC(_u17217, tc_fun(_u17221, _u17218), tc_fun(_u17221, _u17217)), hAPP(hAPP(c_COMBB(tc_fun(_u17218, _u17217), tc_fun(tc_fun(_u17221, _u17218), tc_fun(_u17221, _u17217)), _u17217), c_COMBB(_u17218, _u17217, _u17221)), _u17219)), _u17222), _u17220), _u17223)) )).
% 39.92/40.15 cnf(matrix-7114, plain, ( ( c_List_Oremdups(_u17224, hAPP(hAPP(c_List_Omap(_u17225, _u17224), _u17226), c_List_Oremdups(_u17225, _u17227))) = c_List_Oremdups(_u17224, hAPP(hAPP(c_List_Omap(_u17225, _u17224), _u17226), _u17227))) )).
% 39.92/40.15 cnf(matrix-7115, plain, ( ( hAPP(c_List_Oset(_u17228), c_List_Oremdups(_u17228, _u17229)) = hAPP(c_List_Oset(_u17228), _u17229)) )).
% 39.92/40.15 cnf(matrix-7116, plain, ( ( hAPP(c_List_Ofoldl(_u17230, _u17231, _u17232, _u17233), hAPP(hAPP(c_List_Olist_OCons(_u17231), _u17234), _u17235)) = hAPP(c_List_Ofoldl(_u17230, _u17231, _u17232, hAPP(hAPP(_u17232, _u17233), _u17234)), _u17235)) )).
% 39.92/40.15 cnf(matrix-7117, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17236), _u17237)) | ( c_List_Oremdups(_u17236, _u17237) = _u17237) )).
% 39.92/40.15 cnf(matrix-7118, plain, ( ( c_List_Oremdups(_u17240, _u17242) != _u17242) | hBOOL(hAPP(c_List_Odistinct(_u17240), _u17242)) )).
% 39.92/40.15 cnf(matrix-7119, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17241), _u17243)) | ( c_List_Oremdups(_u17241, _u17243) = _u17243) )).
% 39.92/40.15 cnf(matrix-7120, plain, ( ( c_List_Oremdups(_u17244, hAPP(c_List_Ofilter(_u17244, _u17245), _u17246)) = hAPP(c_List_Ofilter(_u17244, _u17245), c_List_Oremdups(_u17244, _u17246))) )).
% 39.92/40.15 cnf(matrix-7121, plain, ( ~class_Groups_Oab__semigroup__add(_u17247) | ( c_List_Ofoldr(_u17247, _u17247, c_Groups_Oplus__class_Oplus(_u17247), _u17248, _u17249) = hAPP(c_List_Ofoldl(_u17247, _u17247, c_Groups_Oplus__class_Oplus(_u17247), _u17249), _u17248)) )).
% 39.92/40.15 cnf(matrix-7122, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17250), _u17251)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17250), hAPP(c_List_Ofoldl(tc_Nat_Onat, tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17251), _u17252))) )).
% 39.92/40.15 cnf(matrix-7123, plain, ( ~class_Groups_Omonoid__add(_u17253) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u17253), _u17254), hAPP(c_List_Ofoldl(_u17253, _u17253, c_Groups_Oplus__class_Oplus(_u17253), c_Groups_Ozero__class_Ozero(_u17253)), _u17255)) = hAPP(c_List_Ofoldl(_u17253, _u17253, c_Groups_Oplus__class_Oplus(_u17253), _u17254), _u17255)) )).
% 39.92/40.15 cnf(matrix-7124, plain, ( ~class_Groups_Osemigroup__add(_u17256) | ( hAPP(c_List_Ofoldl(_u17256, _u17256, c_Groups_Oplus__class_Oplus(_u17256), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u17256), _u17257), _u17258)), _u17259) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u17256), _u17257), hAPP(c_List_Ofoldl(_u17256, _u17256, c_Groups_Oplus__class_Oplus(_u17256), _u17258), _u17259))) )).
% 39.92/40.15 cnf(matrix-7125, plain, ( ( c_List_Oremdups(_u17260, c_List_Oremdups(_u17260, _u17261)) = c_List_Oremdups(_u17260, _u17261)) )).
% 39.92/40.15 cnf(matrix-7126, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17264)), c_List_Oremdups(_u17264, _u17266)) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17264)), _u17266)) | ( c_List_Oremdups(_u17264, _u17266) = _u17266) )).
% 39.92/40.15 cnf(matrix-7127, plain, ( ( c_List_Oremdups(_u17265, _u17267) != _u17267) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17265)), c_List_Oremdups(_u17265, _u17267)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17265)), _u17267)) )).
% 39.92/40.15 cnf(matrix-7128, plain, ( ( hAPP(c_List_Ofoldl(_u17268, _u17269, _u17270, _u17271), c_List_Olist_ONil(_u17269)) = _u17271) )).
% 39.92/40.15 cnf(matrix-7129, plain, ( ( c_List_Oremdups(_u17274, _u17276) != c_List_Olist_ONil(_u17274)) | ( _u17276 = c_List_Olist_ONil(_u17274)) )).
% 39.92/40.15 cnf(matrix-7130, plain, ( ( _u17277 != c_List_Olist_ONil(_u17275)) | ( c_List_Oremdups(_u17275, _u17277) = c_List_Olist_ONil(_u17275)) )).
% 39.92/40.15 cnf(matrix-7131, plain, ( ( c_List_Olist_ONil(_u17280) != c_List_Oremdups(_u17280, _u17282)) | ( _u17282 = c_List_Olist_ONil(_u17280)) )).
% 39.92/40.15 cnf(matrix-7132, plain, ( ( _u17283 != c_List_Olist_ONil(_u17281)) | ( c_List_Olist_ONil(_u17281) = c_List_Oremdups(_u17281, _u17283)) )).
% 39.92/40.15 cnf(matrix-7133, plain, ( ( c_List_Oremdups(_u17284, c_List_Olist_ONil(_u17284)) = c_List_Olist_ONil(_u17284)) )).
% 39.92/40.15 cnf(matrix-7134, plain, ( ( hAPP(c_List_Ofoldl(_u17285, _u17286, _u17287, _u17288), hAPP(hAPP(c_List_Oappend(_u17286), _u17289), _u17290)) = hAPP(c_List_Ofoldl(_u17285, _u17286, _u17287, hAPP(c_List_Ofoldl(_u17285, _u17286, _u17287, _u17288), _u17289)), _u17290)) )).
% 39.92/40.15 cnf(matrix-7135, plain, ( ( hAPP(c_List_Ofoldl(tc_List_Olist(_u17291), tc_List_Olist(_u17291), c_List_Oappend(_u17291), _u17292), _u17293) = hAPP(hAPP(c_List_Oappend(_u17291), _u17292), c_List_Oconcat(_u17291, _u17293))) )).
% 39.92/40.15 cnf(matrix-7136, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17294), _u17295)) | ( c_List_Oremove1(_u17294, _u17296, c_List_Oremdups(_u17294, _u17295)) = c_List_Oremdups(_u17294, c_List_Oremove1(_u17294, _u17296, _u17295))) )).
% 39.92/40.15 cnf(matrix-7137, plain, ( ~class_Groups_Omonoid__add(_u17297) | ( c_List_Omonoid__add__class_Olistsum(_u17297) = c_List_Ofoldl(_u17297, _u17297, c_Groups_Oplus__class_Oplus(_u17297), c_Groups_Ozero__class_Ozero(_u17297))) )).
% 39.92/40.15 cnf(matrix-7138, plain, ( ( c_List_Oconcat(_u17298, _u17299) = hAPP(c_List_Ofoldl(tc_List_Olist(_u17298), tc_List_Olist(_u17298), c_List_Oappend(_u17298), c_List_Olist_ONil(_u17298)), _u17299)) )).
% 39.92/40.15 cnf(matrix-7139, plain, ( ~class_Groups_Omonoid__add(_u17300) | ( hAPP(c_List_Ofoldl(_u17300, _u17300, c_Groups_Oplus__class_Oplus(_u17300), _u17301), _u17302) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u17300), _u17301), c_List_Ofoldr(_u17300, _u17300, c_Groups_Oplus__class_Oplus(_u17300), _u17302, c_Groups_Ozero__class_Ozero(_u17300)))) )).
% 39.92/40.15 cnf(matrix-7140, plain, ( ~class_Groups_Omonoid__add(_u17303) | ( hAPP(c_List_Ofoldl(_u17303, _u17303, c_Groups_Oplus__class_Oplus(_u17303), c_Groups_Ozero__class_Ozero(_u17303)), _u17304) = c_List_Ofoldr(_u17303, _u17303, c_Groups_Oplus__class_Oplus(_u17303), _u17304, c_Groups_Ozero__class_Ozero(_u17303))) )).
% 39.92/40.15 cnf(matrix-7141, plain, ( ( hAPP(c_List_Ofoldl(tc_Nat_Onat, tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17309), _u17311) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u17309 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.92/40.15 cnf(matrix-7142, plain, ( ( hAPP(c_List_Ofoldl(tc_Nat_Onat, tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17309), _u17311) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u17305), hAPP(c_List_Oset(tc_Nat_Onat), _u17311))) | ( _u17305 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.92/40.15 cnf(matrix-7143, plain, ( ( hAPP(c_List_Ofoldl(tc_Nat_Onat, tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17310), _u17312) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u17310 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem404(_u17312, _u17310)), hAPP(c_List_Oset(tc_Nat_Onat), _u17312))) )).
% 39.92/40.15 cnf(matrix-7144, plain, ( ( hAPP(c_List_Ofoldl(tc_Nat_Onat, tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17310), _u17312) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u17310 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( skolem404(_u17312, _u17310) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.92/40.15 cnf(matrix-7145, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u17316), _u17318), hAPP(c_List_Oset(_u17316), _u17320))) | ( c_List_Oremdups(_u17316, hAPP(hAPP(c_List_Olist_OCons(_u17316), _u17318), _u17320)) = c_List_Oremdups(_u17316, _u17320)) )).
% 39.92/40.15 cnf(matrix-7146, plain, ( hBOOL(hAPP(hAPP(c_member(_u17317), _u17319), hAPP(c_List_Oset(_u17317), _u17321))) | ( c_List_Oremdups(_u17317, hAPP(hAPP(c_List_Olist_OCons(_u17317), _u17319), _u17321)) = hAPP(hAPP(c_List_Olist_OCons(_u17317), _u17319), c_List_Oremdups(_u17317, _u17321))) )).
% 39.92/40.15 cnf(matrix-7147, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17322)), c_List_Oremdups(_u17322, _u17323)) = hAPP(c_Finite__Set_Ocard(_u17322), hAPP(c_List_Oset(_u17322), _u17323))) )).
% 39.92/40.15 cnf(matrix-7148, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17324) | ( c_Complete__Lattice_OSup__class_OSup(_u17324, hAPP(c_List_Oset(_u17324), _u17325)) = hAPP(c_List_Ofoldl(_u17324, _u17324, c_Lattices_Osemilattice__sup__class_Osup(_u17324), c_Orderings_Obot__class_Obot(_u17324)), _u17325)) )).
% 39.92/40.15 cnf(matrix-7149, plain, ( ~class_Lattices_Olattice(_u17326) | ( c_Big__Operators_Olattice__class_OSup__fin(_u17326, hAPP(c_List_Oset(_u17326), hAPP(hAPP(c_List_Olist_OCons(_u17326), _u17327), _u17328))) = hAPP(c_List_Ofoldl(_u17326, _u17326, c_Lattices_Osemilattice__sup__class_Osup(_u17326), _u17327), _u17328)) )).
% 39.92/40.15 cnf(matrix-7150, plain, ( ~class_Lattices_Olattice(_u17329) | ( c_Big__Operators_Olattice__class_OInf__fin(_u17329, hAPP(c_List_Oset(_u17329), hAPP(hAPP(c_List_Olist_OCons(_u17329), _u17330), _u17331))) = hAPP(c_List_Ofoldl(_u17329, _u17329, c_Lattices_Osemilattice__inf__class_Oinf(_u17329), _u17330), _u17331)) )).
% 39.92/40.15 cnf(matrix-7151, plain, ( ~class_Orderings_Olinorder(_u17332) | ( c_Big__Operators_Olinorder__class_OMin(_u17332, hAPP(c_List_Oset(_u17332), hAPP(hAPP(c_List_Olist_OCons(_u17332), _u17333), _u17334))) = hAPP(c_List_Ofoldl(_u17332, _u17332, c_Orderings_Oord__class_Omin(_u17332), _u17333), _u17334)) )).
% 39.92/40.15 cnf(matrix-7152, plain, ( ~class_Orderings_Olinorder(_u17335) | ( c_Big__Operators_Olinorder__class_OMax(_u17335, hAPP(c_List_Oset(_u17335), hAPP(hAPP(c_List_Olist_OCons(_u17335), _u17336), _u17337))) = hAPP(c_List_Ofoldl(_u17335, _u17335, c_Orderings_Oord__class_Omax(_u17335), _u17336), _u17337)) )).
% 39.92/40.15 cnf(matrix-7153, plain, ( ~class_Orderings_Olinorder(_u17338) | ( c_Big__Operators_Olattice_OInf__fin(_u17338, c_Orderings_Oord__class_Omin(_u17338), hAPP(c_List_Oset(_u17338), hAPP(hAPP(c_List_Olist_OCons(_u17338), _u17339), _u17340))) = hAPP(c_List_Ofoldl(_u17338, _u17338, c_Orderings_Oord__class_Omin(_u17338), _u17339), _u17340)) )).
% 39.92/40.15 cnf(matrix-7154, plain, ( ~class_Orderings_Olinorder(_u17341) | ( c_Big__Operators_Olattice_OSup__fin(_u17341, c_Orderings_Oord__class_Omax(_u17341), hAPP(c_List_Oset(_u17341), hAPP(hAPP(c_List_Olist_OCons(_u17341), _u17342), _u17343))) = hAPP(c_List_Ofoldl(_u17341, _u17341, c_Orderings_Oord__class_Omax(_u17341), _u17342), _u17343)) )).
% 39.92/40.15 cnf(matrix-7155, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17344) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u17345, _u17344), hAPP(c_List_Oset(_u17345), _u17346)), _u17347) = hAPP(c_List_Ofoldl(_u17344, _u17345, hAPP(c_COMBC(_u17345, _u17344, _u17344), hAPP(hAPP(c_COMBB(_u17344, tc_fun(_u17344, _u17344), _u17345), c_Lattices_Osemilattice__sup__class_Osup(_u17344)), _u17347)), c_Orderings_Obot__class_Obot(_u17344)), _u17346)) )).
% 39.92/40.15 cnf(matrix-7156, plain, ( ( c_Map_Omap__upds(_u17348, _u17349, _u17350, _u17351, _u17352) = hAPP(c_List_Ofoldl(tc_fun(_u17348, tc_Option_Ooption(_u17349)), tc_prod(_u17348, _u17349), hAPP(hAPP(c_COMBB(tc_fun(_u17348, tc_fun(_u17349, tc_fun(_u17348, tc_Option_Ooption(_u17349)))), tc_fun(tc_prod(_u17348, _u17349), tc_fun(_u17348, tc_Option_Ooption(_u17349))), tc_fun(_u17348, tc_Option_Ooption(_u17349))), c_Product__Type_Oprod_Oprod__case(_u17348, _u17349, tc_fun(_u17348, tc_Option_Ooption(_u17349)))), hAPP(hAPP(c_COMBC(tc_fun(_u17348, tc_Option_Ooption(_u17349)), tc_fun(_u17349, tc_Option_Ooption(_u17349)), tc_fun(_u17348, tc_fun(_u17349, tc_fun(_u17348, tc_Option_Ooption(_u17349))))), hAPP(hAPP(c_COMBB(tc_fun(_u17348, tc_fun(tc_fun(_u17349, tc_Option_Ooption(_u17349)), tc_fun(_u17349, tc_fun(_u17348, tc_Option_Ooption(_u17349))))), tc_fun(tc_fun(_u17349, tc_Option_Ooption(_u17349)), tc_fun(_u17348, tc_fun(_u17349, tc_fun(_u17348, tc_Option_Ooption(_u17349))))), tc_fun(_u17348, tc_Option_Ooption(_u17349))), c_COMBC(_u17348, tc_fun(_u17349, tc_Option_Ooption(_u17349)), tc_fun(_u17349, tc_fun(_u17348, tc_Option_Ooption(_u17349))))), hAPP(hAPP(c_COMBB(tc_fun(_u17348, tc_fun(tc_Option_Ooption(_u17349), tc_fun(_u17348, tc_Option_Ooption(_u17349)))), tc_fun(_u17348, tc_fun(tc_fun(_u17349, tc_Option_Ooption(_u17349)), tc_fun(_u17349, tc_fun(_u17348, tc_Option_Ooption(_u17349))))), tc_fun(_u17348, tc_Option_Ooption(_u17349))), hAPP(c_COMBB(tc_fun(tc_Option_Ooption(_u17349), tc_fun(_u17348, tc_Option_Ooption(_u17349))), tc_fun(tc_fun(_u17349, tc_Option_Ooption(_u17349)), tc_fun(_u17349, tc_fun(_u17348, tc_Option_Ooption(_u17349)))), _u17348), c_COMBB(tc_Option_Ooption(_u17349), tc_fun(_u17348, tc_Option_Ooption(_u17349)), _u17349))), c_Fun_Ofun__upd(_u17348, tc_Option_Ooption(_u17349))))), c_Option_Ooption_OSome(_u17349))), _u17350), hAPP(hAPP(c_List_Ozip(_u17348, _u17349), _u17351), _u17352))) )).
% 39.92/40.15 cnf(matrix-7157, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u17353), hAPP(c_List_Oset(tc_Nat_Onat), _u17354))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17353), 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)), _u17354))) )).
% 39.92/40.15 cnf(matrix-7158, plain, ( ( _u17355 = c_List_Olist_ONil(_u17356)) | ( hAPP(c_List_Ohd(_u17356), hAPP(c_List_Orotate(_u17356, _u17357), _u17355)) = hAPP(hAPP(c_List_Onth(_u17356), _u17355), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u17357, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17356)), _u17355)))) )).
% 39.92/40.15 cnf(matrix-7159, plain, ( ( hAPP(c_List_Orotate(_u17358, _u17359), _u17360) = hAPP(hAPP(c_List_Oappend(_u17358), hAPP(hAPP(c_List_Odrop(_u17358), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u17359, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17358)), _u17360))), _u17360)), hAPP(hAPP(c_List_Otake(_u17358), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u17359, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17358)), _u17360))), _u17360))) )).
% 39.92/40.15 cnf(matrix-7160, plain, ( ( hAPP(c_List_Orotate1(_u17361), hAPP(c_List_Orotate(_u17361, _u17362), _u17363)) = hAPP(c_List_Orotate(_u17361, _u17362), hAPP(c_List_Orotate1(_u17361), _u17363))) )).
% 39.92/40.15 cnf(matrix-7161, plain, ( ( hAPP(c_List_Orotate(_u17367, _u17369), _u17371) != c_List_Olist_ONil(_u17367)) | ( _u17371 = c_List_Olist_ONil(_u17367)) )).
% 39.92/40.15 cnf(matrix-7162, plain, ( ( _u17372 != c_List_Olist_ONil(_u17368)) | ( hAPP(c_List_Orotate(_u17368, _u17370), _u17372) = c_List_Olist_ONil(_u17368)) )).
% 39.92/40.15 cnf(matrix-7163, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17373)), hAPP(c_List_Orotate(_u17373, _u17374), _u17375)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17373)), _u17375)) )).
% 39.92/40.15 cnf(matrix-7164, plain, ( ( hAPP(c_List_Orotate(_u17376, _u17377), hAPP(c_List_Orotate(_u17376, _u17378), _u17379)) = hAPP(c_List_Orotate(_u17376, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17377), _u17378)), _u17379)) )).
% 39.92/40.15 cnf(matrix-7165, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17383), hAPP(c_List_Orotate(_u17383, _u17385), _u17387))) | hBOOL(hAPP(c_List_Odistinct(_u17383), _u17387)) )).
% 39.92/40.15 cnf(matrix-7166, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17384), _u17388)) | hBOOL(hAPP(c_List_Odistinct(_u17384), hAPP(c_List_Orotate(_u17384, _u17386), _u17388))) )).
% 39.92/40.15 cnf(matrix-7167, plain, ( ( hAPP(c_List_Oset(_u17389), hAPP(c_List_Orotate(_u17389, _u17390), _u17391)) = hAPP(c_List_Oset(_u17389), _u17391)) )).
% 39.92/40.15 cnf(matrix-7168, plain, ( ( hAPP(c_List_Orotate(_u17392, _u17393), hAPP(hAPP(c_List_Omap(_u17394, _u17392), _u17395), _u17396)) = hAPP(hAPP(c_List_Omap(_u17394, _u17392), _u17395), hAPP(c_List_Orotate(_u17394, _u17393), _u17396))) )).
% 39.92/40.15 cnf(matrix-7169, plain, ( ( hAPP(c_List_Orotate(_u17397, _u17398), _u17399) = hAPP(c_List_Orotate(_u17397, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u17398, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17397)), _u17399))), _u17399)) )).
% 39.92/40.15 cnf(matrix-7170, plain, ( ( hAPP(c_List_Orotate(_u17400, hAPP(c_Nat_OSuc, _u17401)), _u17402) = hAPP(c_List_Orotate1(_u17400), hAPP(c_List_Orotate(_u17400, _u17401), _u17402))) )).
% 39.92/40.15 cnf(matrix-7171, plain, ( ( c_List_Orotate(_u17403, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Fun_Oid(tc_List_Olist(_u17403))) )).
% 39.92/40.15 cnf(matrix-7172, plain, ( ( c_List_Orotate(_u17404, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17405), _u17406)) = hAPP(c_Fun_Ocomp(tc_List_Olist(_u17404), tc_List_Olist(_u17404), tc_List_Olist(_u17404), c_List_Orotate(_u17404, _u17405)), c_List_Orotate(_u17404, _u17406))) )).
% 39.92/40.15 cnf(matrix-7173, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u17407, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17408)), _u17409)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Orotate(_u17408, _u17407), _u17409) = _u17409) )).
% 39.92/40.15 cnf(matrix-7174, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17410)), _u17411)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( hAPP(c_List_Orotate(_u17410, _u17412), _u17411) = _u17411) )).
% 39.92/40.15 cnf(matrix-7175, plain, ( ( _u17415 != hAPP(hAPP(c_List_Olist_OCons(_u17416), _u17414), _u17413)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17416), tc_List_Olist(_u17416))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17416), tc_List_Olist(_u17416)), _u17417), hAPP(hAPP(c_List_Oappend(_u17416), _u17417), _u17415))), c_List_Olexord(_u17416, _u17418))) )).
% 39.92/40.15 cnf(matrix-7176, plain, ( ~class_Orderings_Olinorder(_u17419) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17419), _u17420)) | ( c_List_Olinorder__class_Osorted__list__of__set(_u17419, hAPP(hAPP(c_Set_Oinsert(_u17419), _u17421), _u17420)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17419, _u17419, c_COMBI(_u17419)), _u17421), c_List_Olinorder__class_Osorted__list__of__set(_u17419, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u17419, tc_HOL_Obool)), _u17420), hAPP(hAPP(c_Set_Oinsert(_u17419), _u17421), c_Orderings_Obot__class_Obot(tc_fun(_u17419, tc_HOL_Obool))))))) )).
% 39.92/40.15 cnf(matrix-7177, plain, ( ~class_Orderings_Olinorder(_u17422) | ( hAPP(c_List_Oset(_u17423), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17423, _u17422, _u17424), _u17425), _u17426)) = hAPP(hAPP(c_Set_Oinsert(_u17423), _u17425), hAPP(c_List_Oset(_u17423), _u17426))) )).
% 39.92/40.15 cnf(matrix-7178, plain, ( ~class_Orderings_Olinorder(_u17427) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17428, _u17427, _u17429), _u17430), c_List_Olist_ONil(_u17428)) = hAPP(hAPP(c_List_Olist_OCons(_u17428), _u17430), c_List_Olist_ONil(_u17428))) )).
% 39.92/40.15 cnf(matrix-7179, plain, ( ~class_Orderings_Olinorder(_u17431) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17431), hAPP(_u17432, _u17433)), hAPP(_u17432, _u17434))) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17435, _u17431, _u17432), _u17433), hAPP(hAPP(c_List_Olist_OCons(_u17435), _u17434), _u17436)) = hAPP(hAPP(c_List_Olist_OCons(_u17435), _u17433), hAPP(hAPP(c_List_Olist_OCons(_u17435), _u17434), _u17436))) )).
% 39.92/40.15 cnf(matrix-7180, plain, ( ~class_Orderings_Olinorder(_u17431) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17431), hAPP(_u17432, _u17433)), hAPP(_u17432, _u17434))) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17435, _u17431, _u17432), _u17433), hAPP(hAPP(c_List_Olist_OCons(_u17435), _u17434), _u17436)) = hAPP(hAPP(c_List_Olist_OCons(_u17435), _u17434), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17435, _u17431, _u17432), _u17433), _u17436))) )).
% 39.92/40.15 cnf(matrix-7181, plain, ( ~class_Orderings_Olinorder(_u17437) | hBOOL(hAPP(_u17438, _u17439)) | ( hAPP(c_List_Ofilter(_u17440, _u17438), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17440, _u17437, _u17441), _u17439), _u17442)) = hAPP(c_List_Ofilter(_u17440, _u17438), _u17442)) )).
% 39.92/40.15 cnf(matrix-7182, plain, ( ~class_Orderings_Olinorder(_u17443) | ( c_List_Oremove1(_u17443, _u17444, hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17443, _u17443, c_COMBI(_u17443)), _u17444), _u17445)) = _u17445) )).
% 39.92/40.15 cnf(matrix-7183, plain, ( ~class_Orderings_Olinorder(_u17446) | ( hAPP(_u17447, _u17448) = hAPP(_u17447, _u17449)) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17450, _u17446, _u17447), _u17449), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17450, _u17446, _u17447), _u17448), _u17451)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17450, _u17446, _u17447), _u17448), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17450, _u17446, _u17447), _u17449), _u17451))) )).
% 39.92/40.15 cnf(matrix-7184, plain, ( ~class_Orderings_Olinorder(_u17452) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17452, _u17452, c_COMBI(_u17452)), _u17453), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17452, _u17452, c_COMBI(_u17452)), _u17454), _u17455)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17452, _u17452, c_COMBI(_u17452)), _u17454), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17452, _u17452, c_COMBI(_u17452)), _u17453), _u17455))) )).
% 39.92/40.15 cnf(matrix-7185, plain, ( ~class_Orderings_Olinorder(_u17456) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17457)), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17457, _u17456, _u17458), _u17459), _u17460)) = hAPP(c_Nat_OSuc, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17457)), _u17460))) )).
% 39.92/40.15 cnf(matrix-7186, plain, ( ~class_Orderings_Olinorder(_u17461) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17462, _u17461, _u17463), _u17464), _u17465) != c_List_Olist_ONil(_u17462)) )).
% 39.92/40.15 cnf(matrix-7187, plain, ( ~class_Orderings_Olinorder(_u17466) | ~hBOOL(hAPP(c_List_Odistinct(_u17467), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17467, _u17466, _u17468), _u17469), _u17470))) | ~hBOOL(hAPP(hAPP(c_member(_u17467), _u17469), hAPP(c_List_Oset(_u17467), _u17470))) )).
% 39.92/40.15 cnf(matrix-7188, plain, ( ~class_Orderings_Olinorder(_u17466) | ~hBOOL(hAPP(c_List_Odistinct(_u17467), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17467, _u17466, _u17468), _u17469), _u17470))) | hBOOL(hAPP(c_List_Odistinct(_u17467), _u17470)) )).
% 39.92/40.15 cnf(matrix-7189, plain, ( ~class_Orderings_Olinorder(_u17466) | hBOOL(hAPP(hAPP(c_member(_u17467), _u17469), hAPP(c_List_Oset(_u17467), _u17470))) | ~hBOOL(hAPP(c_List_Odistinct(_u17467), _u17470)) | hBOOL(hAPP(c_List_Odistinct(_u17467), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17467, _u17466, _u17468), _u17469), _u17470))) )).
% 39.92/40.15 cnf(matrix-7190, plain, ( ~class_Orderings_Olinorder(_u17471) | ~hBOOL(hAPP(hAPP(c_member(_u17472), _u17473), hAPP(c_List_Oset(_u17472), _u17474))) | ~c_List_Olinorder__class_Osorted(_u17471, hAPP(hAPP(c_List_Omap(_u17472, _u17471), _u17475), _u17474)) | ( hAPP(c_List_Ohd(_u17472), hAPP(c_List_Ofilter(_u17472, hAPP(hAPP(c_COMBB(_u17471, tc_HOL_Obool, _u17472), hAPP(c_fequal, hAPP(_u17475, _u17473))), _u17475)), _u17474)) != _u17473) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17472, _u17471, _u17475), _u17473), c_List_Oremove1(_u17472, _u17473, _u17474)) = _u17474) )).
% 39.92/40.15 cnf(matrix-7191, plain, ( ~class_Orderings_Olinorder(_u17476) | hBOOL(hAPP(hAPP(c_member(_u17476), hAPP(_u17477, _u17478)), hAPP(c_Set_Oimage(_u17479, _u17476, _u17477), hAPP(c_List_Oset(_u17479), _u17480)))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u17479, _u17476, _u17477, _u17478, _u17480) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17479, _u17476, _u17477), _u17478), _u17480)) )).
% 39.92/40.15 cnf(matrix-7192, plain, ( ~class_Orderings_Olinorder(_u17481) | c_List_Olinorder__class_Osorted(_u17481, c_List_Olist_ONil(_u17481)) )).
% 39.92/40.15 cnf(matrix-7193, plain, ( ~class_Orderings_Olinorder(_u17482) | c_List_Olinorder__class_Osorted(_u17482, hAPP(hAPP(c_List_Olist_OCons(_u17482), _u17483), c_List_Olist_ONil(_u17482))) )).
% 39.92/40.15 cnf(matrix-7194, plain, ( ~class_Orderings_Olinorder(_u17484) | ~c_List_Olinorder__class_Osorted(_u17484, hAPP(hAPP(c_List_Omap(_u17485, _u17484), _u17486), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17485, _u17484, _u17486), _u17487), _u17488))) | c_List_Olinorder__class_Osorted(_u17484, hAPP(hAPP(c_List_Omap(_u17485, _u17484), _u17486), _u17488)) )).
% 39.92/40.15 cnf(matrix-7195, plain, ( ~class_Orderings_Olinorder(_u17484) | ~c_List_Olinorder__class_Osorted(_u17484, hAPP(hAPP(c_List_Omap(_u17485, _u17484), _u17486), _u17488)) | c_List_Olinorder__class_Osorted(_u17484, hAPP(hAPP(c_List_Omap(_u17485, _u17484), _u17486), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17485, _u17484, _u17486), _u17487), _u17488))) )).
% 39.92/40.15 cnf(matrix-7196, plain, ( ~class_Orderings_Olinorder(_u17489) | ~c_List_Olinorder__class_Osorted(_u17489, hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17489, _u17489, c_COMBI(_u17489)), _u17490), _u17491)) | c_List_Olinorder__class_Osorted(_u17489, _u17491) )).
% 39.92/40.15 cnf(matrix-7197, plain, ( ~class_Orderings_Olinorder(_u17489) | ~c_List_Olinorder__class_Osorted(_u17489, _u17491) | c_List_Olinorder__class_Osorted(_u17489, hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17489, _u17489, c_COMBI(_u17489)), _u17490), _u17491)) )).
% 39.92/40.15 cnf(matrix-7198, plain, ( ~class_Orderings_Olinorder(_u17492) | ~c_List_Olinorder__class_Osorted(_u17492, _u17493) | c_List_Olinorder__class_Osorted(_u17492, c_List_Oremdups(_u17492, _u17493)) )).
% 39.92/40.15 cnf(matrix-7199, plain, ( ~class_Orderings_Olinorder(_u17494) | c_List_Olinorder__class_Osorted(_u17494, hAPP(hAPP(c_List_Omap(_u17495, _u17494), _u17496), hAPP(c_List_Ofilter(_u17495, hAPP(hAPP(c_COMBC(_u17495, _u17494, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u17494, tc_fun(_u17494, tc_HOL_Obool), _u17495), c_fequal), _u17496)), hAPP(_u17497, _u17498))), _u17498))) )).
% 39.92/40.15 cnf(matrix-7200, plain, ( ~class_Orderings_Olinorder(_u17499) | c_List_Olinorder__class_Osorted(_u17499, c_List_Olist_ONil(_u17499)) )).
% 39.92/40.15 cnf(matrix-7201, plain, ( ~class_Orderings_Olinorder(_u17500) | ( _u17501 = c_List_Olist_ONil(_u17500)) | ~c_List_Olinorder__class_Osorted(_u17500, _u17501) | c_List_Olinorder__class_Osorted(_u17500, c_List_Obutlast(_u17500, _u17501)) )).
% 39.92/40.15 cnf(matrix-7202, plain, ( c_List_Olinorder__class_Osorted(tc_Nat_Onat, c_List_Oupt(_u17502, _u17503)) )).
% 39.92/40.15 cnf(matrix-7203, plain, ( c_List_Olinorder__class_Osorted(tc_Int_Oint, c_List_Oupto(_u17504, _u17505)) )).
% 39.92/40.15 cnf(matrix-7204, plain, ( ~class_Orderings_Olinorder(_u17506) | ~c_List_Olinorder__class_Osorted(_u17506, _u17507) | c_List_Olinorder__class_Osorted(_u17506, c_List_Olinorder__class_Oinsort__insert__key(_u17506, _u17506, c_COMBI(_u17506), _u17508, _u17507)) )).
% 39.92/40.15 cnf(matrix-7205, plain, ( ~class_Orderings_Olinorder(_u17509) | ~c_List_Olinorder__class_Osorted(_u17509, _u17510) | c_List_Olinorder__class_Osorted(_u17509, c_List_Oremove1(_u17509, _u17511, _u17510)) )).
% 39.92/40.15 cnf(matrix-7206, plain, ( ~class_Orderings_Olinorder(_u17512) | c_List_Olinorder__class_Osorted(_u17512, hAPP(c_List_Ofilter(_u17512, hAPP(hAPP(c_COMBC(_u17512, _u17512, tc_HOL_Obool), c_fequal), hAPP(_u17513, _u17514))), _u17514)) )).
% 39.92/40.15 cnf(matrix-7207, plain, ( ~class_Orderings_Olinorder(_u17515) | ~hBOOL(hAPP(c_List_Odistinct(_u17516), _u17517)) | hBOOL(hAPP(c_List_Odistinct(_u17516), c_List_Olinorder__class_Oinsort__insert__key(_u17516, _u17515, _u17518, _u17519, _u17517))) )).
% 39.92/40.15 cnf(matrix-7208, plain, ( ~class_Orderings_Olinorder(_u17520) | ~c_List_Olinorder__class_Osorted(_u17520, _u17521) | c_List_Olinorder__class_Osorted(_u17520, hAPP(hAPP(c_List_Otake(_u17520), _u17522), _u17521)) )).
% 39.92/40.15 cnf(matrix-7209, plain, ( ~class_Orderings_Olinorder(_u17523) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17523), _u17524), _u17525)) | ~c_List_Olinorder__class_Osorted(_u17523, hAPP(hAPP(c_List_Olist_OCons(_u17523), _u17525), _u17526)) | c_List_Olinorder__class_Osorted(_u17523, hAPP(hAPP(c_List_Olist_OCons(_u17523), _u17524), hAPP(hAPP(c_List_Olist_OCons(_u17523), _u17525), _u17526))) )).
% 39.92/40.15 cnf(matrix-7210, plain, ( ~class_Orderings_Olinorder(_u17527) | ~c_List_Olinorder__class_Osorted(_u17527, hAPP(hAPP(c_List_Olist_OCons(_u17527), _u17528), hAPP(hAPP(c_List_Olist_OCons(_u17527), _u17529), _u17530))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17527), _u17528), _u17529)) )).
% 39.92/40.15 cnf(matrix-7211, plain, ( ~class_Orderings_Olinorder(_u17527) | ~c_List_Olinorder__class_Osorted(_u17527, hAPP(hAPP(c_List_Olist_OCons(_u17527), _u17528), hAPP(hAPP(c_List_Olist_OCons(_u17527), _u17529), _u17530))) | c_List_Olinorder__class_Osorted(_u17527, hAPP(hAPP(c_List_Olist_OCons(_u17527), _u17529), _u17530)) )).
% 39.92/40.15 cnf(matrix-7212, plain, ( ~class_Orderings_Olinorder(_u17527) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17527), _u17528), _u17529)) | ~c_List_Olinorder__class_Osorted(_u17527, hAPP(hAPP(c_List_Olist_OCons(_u17527), _u17529), _u17530)) | c_List_Olinorder__class_Osorted(_u17527, hAPP(hAPP(c_List_Olist_OCons(_u17527), _u17528), hAPP(hAPP(c_List_Olist_OCons(_u17527), _u17529), _u17530))) )).
% 39.92/40.15 cnf(matrix-7213, plain, ( ~class_Orderings_Olinorder(_u17531) | ~c_List_Olinorder__class_Osorted(_u17531, _u17532) | ~hBOOL(hAPP(c_List_Odistinct(_u17531), _u17532)) | ~c_List_Olinorder__class_Osorted(_u17531, _u17533) | ~hBOOL(hAPP(c_List_Odistinct(_u17531), _u17533)) | ( hAPP(c_List_Oset(_u17531), _u17532) != hAPP(c_List_Oset(_u17531), _u17533)) | ( _u17532 = _u17533) )).
% 39.92/40.15 cnf(matrix-7214, plain, ( ~class_Orderings_Olinorder(_u17534) | ~c_List_Olinorder__class_Osorted(_u17534, _u17535) | c_List_Olinorder__class_Osorted(_u17534, hAPP(c_List_Otl(_u17534), _u17535)) )).
% 39.92/40.15 cnf(matrix-7215, plain, ( ~class_Orderings_Olinorder(_u17536) | ~c_List_Olinorder__class_Osorted(_u17536, hAPP(hAPP(c_List_Omap(_u17537, _u17536), _u17538), _u17539)) | c_List_Olinorder__class_Osorted(_u17536, hAPP(hAPP(c_List_Omap(_u17537, _u17536), _u17538), hAPP(c_List_Ofilter(_u17537, _u17540), _u17539))) )).
% 39.92/40.15 cnf(matrix-7216, plain, ( ~class_Orderings_Olinorder(_u17541) | ~c_List_Olinorder__class_Osorted(_u17541, hAPP(hAPP(c_List_Omap(_u17542, _u17541), _u17543), _u17544)) | c_List_Olinorder__class_Osorted(_u17541, hAPP(hAPP(c_List_Omap(_u17542, _u17541), _u17543), c_List_Olinorder__class_Oinsort__insert__key(_u17542, _u17541, _u17543, _u17545, _u17544))) )).
% 39.92/40.15 cnf(matrix-7217, plain, ( ~class_Orderings_Olinorder(_u17546) | ~c_List_Olinorder__class_Osorted(_u17546, hAPP(hAPP(c_List_Omap(_u17547, _u17546), _u17548), _u17549)) | c_List_Olinorder__class_Osorted(_u17546, hAPP(hAPP(c_List_Omap(_u17547, _u17546), _u17548), c_List_Oremove1(_u17547, _u17550, _u17549))) )).
% 39.92/40.15 cnf(matrix-7218, plain, ( ~class_Orderings_Olinorder(_u17551) | ~c_List_Olinorder__class_Osorted(_u17551, _u17552) | c_List_Olinorder__class_Osorted(_u17551, hAPP(hAPP(c_List_Odrop(_u17551), _u17553), _u17552)) )).
% 39.92/40.15 cnf(matrix-7219, plain, ( ~class_Orderings_Olinorder(_u17556) | ~c_List_Olinorder__class_Osorted(_u17556, hAPP(hAPP(c_List_Olist_OCons(_u17556), _u17557), _u17558)) | c_List_Olinorder__class_Osorted(_u17556, _u17558) )).
% 39.92/40.15 cnf(matrix-7220, plain, ( ~class_Orderings_Olinorder(_u17556) | ~c_List_Olinorder__class_Osorted(_u17556, hAPP(hAPP(c_List_Olist_OCons(_u17556), _u17557), _u17558)) | ~hBOOL(hAPP(hAPP(c_member(_u17556), _u17554), hAPP(c_List_Oset(_u17556), _u17558))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17556), _u17557), _u17554)) )).
% 39.92/40.15 cnf(matrix-7221, plain, ( ~class_Orderings_Olinorder(_u17556) | c_List_Olinorder__class_Osorted(_u17556, hAPP(hAPP(c_List_Olist_OCons(_u17556), _u17557), _u17558)) | ~c_List_Olinorder__class_Osorted(_u17556, _u17558) | hBOOL(hAPP(hAPP(c_member(_u17556), skolem405(_u17558, _u17557, _u17556)), hAPP(c_List_Oset(_u17556), _u17558))) )).
% 39.92/40.15 cnf(matrix-7222, plain, ( ~class_Orderings_Olinorder(_u17556) | c_List_Olinorder__class_Osorted(_u17556, hAPP(hAPP(c_List_Olist_OCons(_u17556), _u17557), _u17558)) | ~c_List_Olinorder__class_Osorted(_u17556, _u17558) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17556), _u17557), skolem405(_u17558, _u17557, _u17556))) )).
% 39.92/40.15 cnf(matrix-7223, plain, ( ~class_Orderings_Olinorder(_u17563) | ~c_List_Olinorder__class_Osorted(_u17563, hAPP(hAPP(c_List_Oappend(_u17563), _u17564), _u17565)) | c_List_Olinorder__class_Osorted(_u17563, _u17564) )).
% 39.92/40.15 cnf(matrix-7224, plain, ( ~class_Orderings_Olinorder(_u17563) | ~c_List_Olinorder__class_Osorted(_u17563, hAPP(hAPP(c_List_Oappend(_u17563), _u17564), _u17565)) | c_List_Olinorder__class_Osorted(_u17563, _u17565) )).
% 39.92/40.15 cnf(matrix-7225, plain, ( ~class_Orderings_Olinorder(_u17563) | ~c_List_Olinorder__class_Osorted(_u17563, hAPP(hAPP(c_List_Oappend(_u17563), _u17564), _u17565)) | ~hBOOL(hAPP(hAPP(c_member(_u17563), _u17560), hAPP(c_List_Oset(_u17563), _u17564))) | ~hBOOL(hAPP(hAPP(c_member(_u17563), _u17559), hAPP(c_List_Oset(_u17563), _u17565))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17563), _u17560), _u17559)) )).
% 39.92/40.15 cnf(matrix-7226, plain, ( ~class_Orderings_Olinorder(_u17563) | c_List_Olinorder__class_Osorted(_u17563, hAPP(hAPP(c_List_Oappend(_u17563), _u17564), _u17565)) | ~c_List_Olinorder__class_Osorted(_u17563, _u17564) | ~c_List_Olinorder__class_Osorted(_u17563, _u17565) | hBOOL(hAPP(hAPP(c_member(_u17563), skolem406(_u17565, _u17564, _u17563)), hAPP(c_List_Oset(_u17563), _u17564))) )).
% 39.92/40.15 cnf(matrix-7227, plain, ( ~class_Orderings_Olinorder(_u17563) | c_List_Olinorder__class_Osorted(_u17563, hAPP(hAPP(c_List_Oappend(_u17563), _u17564), _u17565)) | ~c_List_Olinorder__class_Osorted(_u17563, _u17564) | ~c_List_Olinorder__class_Osorted(_u17563, _u17565) | hBOOL(hAPP(hAPP(c_member(_u17563), skolem407(_u17565, _u17564, _u17563)), hAPP(c_List_Oset(_u17563), _u17565))) )).
% 39.92/40.15 cnf(matrix-7228, plain, ( ~class_Orderings_Olinorder(_u17563) | c_List_Olinorder__class_Osorted(_u17563, hAPP(hAPP(c_List_Oappend(_u17563), _u17564), _u17565)) | ~c_List_Olinorder__class_Osorted(_u17563, _u17564) | ~c_List_Olinorder__class_Osorted(_u17563, _u17565) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17563), skolem406(_u17565, _u17564, _u17563)), skolem407(_u17565, _u17564, _u17563))) )).
% 39.92/40.15 cnf(matrix-7229, plain, ( ~class_Orderings_Olinorder(_u17566) | ~c_List_Olinorder__class_Osorted(_u17566, hAPP(hAPP(c_List_Omap(_u17567, _u17566), _u17568), _u17569)) | ~hBOOL(hAPP(_u17570, _u17571)) | ( hAPP(c_List_Ofilter(_u17567, _u17570), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17567, _u17566, _u17568), _u17571), _u17569)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17567, _u17566, _u17568), _u17571), hAPP(c_List_Ofilter(_u17567, _u17570), _u17569))) )).
% 39.92/40.15 cnf(matrix-7230, plain, ( ~class_Orderings_Olinorder(_u17574) | ~c_List_Olinorder__class_Osorted(_u17574, hAPP(hAPP(c_List_Olist_OCons(_u17574), _u17575), _u17576)) | ~hBOOL(hAPP(hAPP(c_member(_u17574), _u17572), hAPP(c_List_Oset(_u17574), _u17576))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17574), _u17575), _u17572)) )).
% 39.92/40.15 cnf(matrix-7231, plain, ( ~class_Orderings_Olinorder(_u17574) | ~c_List_Olinorder__class_Osorted(_u17574, hAPP(hAPP(c_List_Olist_OCons(_u17574), _u17575), _u17576)) | c_List_Olinorder__class_Osorted(_u17574, _u17576) )).
% 39.92/40.15 cnf(matrix-7232, plain, ( ~class_Orderings_Olinorder(_u17574) | c_List_Olinorder__class_Osorted(_u17574, hAPP(hAPP(c_List_Olist_OCons(_u17574), _u17575), _u17576)) | ~c_List_Olinorder__class_Osorted(_u17574, _u17576) | hBOOL(hAPP(hAPP(c_member(_u17574), skolem408(_u17576, _u17575, _u17574)), hAPP(c_List_Oset(_u17574), _u17576))) )).
% 39.92/40.15 cnf(matrix-7233, plain, ( ~class_Orderings_Olinorder(_u17574) | c_List_Olinorder__class_Osorted(_u17574, hAPP(hAPP(c_List_Olist_OCons(_u17574), _u17575), _u17576)) | ~c_List_Olinorder__class_Osorted(_u17574, _u17576) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17574), _u17575), skolem408(_u17576, _u17575, _u17574))) )).
% 39.92/40.15 cnf(matrix-7234, plain, ( ~class_Orderings_Olinorder(_u17577) | ~hBOOL(hAPP(hAPP(c_member(_u17577), _u17578), hAPP(c_List_Oset(_u17577), _u17579))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u17577, _u17577, c_COMBI(_u17577), _u17578, _u17579) = _u17579) )).
% 39.92/40.15 cnf(matrix-7235, plain, ( ~class_Orderings_Olinorder(_u17580) | ( hAPP(c_List_Oset(_u17580), c_List_Olinorder__class_Oinsort__insert__key(_u17580, _u17580, c_COMBI(_u17580), _u17581, _u17582)) = hAPP(hAPP(c_Set_Oinsert(_u17580), _u17581), hAPP(c_List_Oset(_u17580), _u17582))) )).
% 39.92/40.15 cnf(matrix-7236, plain, ( ~class_Orderings_Olinorder(_u17583) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17583), _u17584)) | ( hAPP(c_List_Oset(_u17583), c_List_Olinorder__class_Osorted__list__of__set(_u17583, _u17584)) = _u17584) )).
% 39.92/40.15 cnf(matrix-7237, plain, ( ~class_Orderings_Olinorder(_u17583) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17583), _u17584)) | c_List_Olinorder__class_Osorted(_u17583, c_List_Olinorder__class_Osorted__list__of__set(_u17583, _u17584)) )).
% 39.92/40.15 cnf(matrix-7238, plain, ( ~class_Orderings_Olinorder(_u17583) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17583), _u17584)) | hBOOL(hAPP(c_List_Odistinct(_u17583), c_List_Olinorder__class_Osorted__list__of__set(_u17583, _u17584))) )).
% 39.92/40.15 cnf(matrix-7239, plain, ( ~class_Orderings_Olinorder(_u17585) | ~hBOOL(hAPP(hAPP(c_member(_u17585), _u17586), hAPP(c_List_Oset(_u17585), _u17587))) | ~c_List_Olinorder__class_Osorted(_u17585, _u17587) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17585, _u17585, c_COMBI(_u17585)), _u17586), c_List_Oremove1(_u17585, _u17586, _u17587)) = _u17587) )).
% 39.92/40.15 cnf(matrix-7240, plain, ( ~class_Orderings_Olinorder(_u17588) | ~c_List_Olinorder__class_Osorted(_u17588, _u17589) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17590), _u17591)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17591), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17588)), _u17589))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17588), hAPP(hAPP(c_List_Onth(_u17588), _u17589), _u17590)), hAPP(hAPP(c_List_Onth(_u17588), _u17589), _u17591))) )).
% 39.92/40.15 cnf(matrix-7241, plain, ( ~class_Orderings_Olinorder(_u17596) | ~c_List_Olinorder__class_Osorted(_u17596, _u17597) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17593), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17596)), _u17597))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17592), _u17593)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17596), hAPP(hAPP(c_List_Onth(_u17596), _u17597), _u17592)), hAPP(hAPP(c_List_Onth(_u17596), _u17597), _u17593))) )).
% 39.92/40.15 cnf(matrix-7242, plain, ( ~class_Orderings_Olinorder(_u17596) | c_List_Olinorder__class_Osorted(_u17596, _u17597) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem409(_u17597, _u17596)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17596)), _u17597))) )).
% 39.92/40.15 cnf(matrix-7243, plain, ( ~class_Orderings_Olinorder(_u17596) | c_List_Olinorder__class_Osorted(_u17596, _u17597) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem410(_u17597, _u17596)), skolem409(_u17597, _u17596))) )).
% 39.92/40.15 cnf(matrix-7244, plain, ( ~class_Orderings_Olinorder(_u17596) | c_List_Olinorder__class_Osorted(_u17596, _u17597) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17596), hAPP(hAPP(c_List_Onth(_u17596), _u17597), skolem410(_u17597, _u17596))), hAPP(hAPP(c_List_Onth(_u17596), _u17597), skolem409(_u17597, _u17596)))) )).
% 39.92/40.15 cnf(matrix-7245, plain, ( ~class_Orderings_Olinorder(_u17598) | ~c_Fun_Oinj__on(_u17599, _u17598, _u17600, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17599, tc_HOL_Obool)), hAPP(c_List_Oset(_u17599), _u17601)), hAPP(c_List_Oset(_u17599), _u17602))) | ~c_List_Olinorder__class_Osorted(_u17598, hAPP(hAPP(c_List_Omap(_u17599, _u17598), _u17600), _u17601)) | ~hBOOL(hAPP(c_List_Odistinct(_u17598), hAPP(hAPP(c_List_Omap(_u17599, _u17598), _u17600), _u17601))) | ~c_List_Olinorder__class_Osorted(_u17598, hAPP(hAPP(c_List_Omap(_u17599, _u17598), _u17600), _u17602)) | ~hBOOL(hAPP(c_List_Odistinct(_u17598), hAPP(hAPP(c_List_Omap(_u17599, _u17598), _u17600), _u17602))) | ( hAPP(c_List_Oset(_u17599), _u17601) != hAPP(c_List_Oset(_u17599), _u17602)) | ( _u17601 = _u17602) )).
% 39.92/40.15 cnf(matrix-7246, plain, ( ~class_Orderings_Olinorder(_u17603) | ~hBOOL(hAPP(hAPP(c_member(_u17603), hAPP(_u17604, _u17605)), hAPP(c_Set_Oimage(_u17606, _u17603, _u17604), hAPP(c_List_Oset(_u17606), _u17607)))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u17606, _u17603, _u17604, _u17605, _u17607) = _u17607) )).
% 39.92/40.15 cnf(matrix-7247, plain, ( ~class_Orderings_Olinorder(_u17608) | hBOOL(hAPP(hAPP(c_member(_u17608), _u17609), hAPP(c_List_Oset(_u17608), _u17610))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u17608, _u17608, c_COMBI(_u17608), _u17609, _u17610) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17608, _u17608, c_COMBI(_u17608)), _u17609), _u17610)) )).
% 39.92/40.15 cnf(matrix-7248, plain, ( ~c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17611), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u17611))), _u17612))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17613), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17611))), _u17612))) | ( hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17611), _u17611), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17611), tc_Nat_Onat, _u17611), c_List_Onth(_u17611)), _u17613)), hAPP(c_List_Ofilter(tc_List_Olist(_u17611), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u17611)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17613)), c_Nat_Osize__class_Osize(tc_List_Olist(_u17611)))), c_List_Otranspose(_u17611, _u17612))) = hAPP(hAPP(c_List_Onth(tc_List_Olist(_u17611)), _u17612), _u17613)) )).
% 39.92/40.15 cnf(matrix-7249, plain, ( ~c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17614), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u17614))), _u17615))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17616), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17614))), c_List_Otranspose(_u17614, _u17615)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17617), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17614))), hAPP(c_List_Ofilter(tc_List_Olist(_u17614), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u17614)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17616)), c_Nat_Osize__class_Osize(tc_List_Olist(_u17614)))), _u17615)))) | ( hAPP(hAPP(c_List_Onth(_u17614), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u17614)), c_List_Otranspose(_u17614, _u17615)), _u17616)), _u17617) = hAPP(hAPP(c_List_Onth(_u17614), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u17614)), _u17615), _u17617)), _u17616)) )).
% 39.92/40.15 cnf(matrix-7250, plain, ( c_Fun_Oinj__on(tc_List_Olist(_u17618), tc_List_Olist(_u17618), c_List_Orev(_u17618), _u17619) )).
% 39.92/40.15 cnf(matrix-7251, plain, ( ( hAPP(c_List_Orev(_u17620), c_List_Oconcat(_u17620, _u17621)) = c_List_Oconcat(_u17620, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17620), tc_List_Olist(_u17620)), c_List_Orev(_u17620)), hAPP(c_List_Orev(tc_List_Olist(_u17620)), _u17621)))) )).
% 39.92/40.15 cnf(matrix-7252, plain, ( ( hAPP(c_List_Orev(_u17622), hAPP(hAPP(c_List_Omap(_u17623, _u17622), _u17624), _u17625)) = hAPP(hAPP(c_List_Omap(_u17623, _u17622), _u17624), hAPP(c_List_Orev(_u17623), _u17625))) )).
% 39.92/40.15 cnf(matrix-7253, plain, ( ( hAPP(c_List_Oset(_u17626), hAPP(c_List_Orev(_u17626), _u17627)) = hAPP(c_List_Oset(_u17626), _u17627)) )).
% 39.92/40.15 cnf(matrix-7254, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17628)), _u17629) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17630)), _u17631)) | ( hAPP(hAPP(c_List_Ozip(_u17628, _u17630), hAPP(c_List_Orev(_u17628), _u17629)), hAPP(c_List_Orev(_u17630), _u17631)) = hAPP(c_List_Orev(tc_prod(_u17628, _u17630)), hAPP(hAPP(c_List_Ozip(_u17628, _u17630), _u17629), _u17631))) )).
% 39.92/40.15 cnf(matrix-7255, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u17635), _u17637), c_List_Olist_ONil(_u17635)) != hAPP(c_List_Orev(_u17635), _u17639)) | ( _u17639 = hAPP(hAPP(c_List_Olist_OCons(_u17635), _u17637), c_List_Olist_ONil(_u17635))) )).
% 39.92/40.15 cnf(matrix-7256, plain, ( ( _u17640 != hAPP(hAPP(c_List_Olist_OCons(_u17636), _u17638), c_List_Olist_ONil(_u17636))) | ( hAPP(hAPP(c_List_Olist_OCons(_u17636), _u17638), c_List_Olist_ONil(_u17636)) = hAPP(c_List_Orev(_u17636), _u17640)) )).
% 39.92/40.15 cnf(matrix-7257, plain, ( ( hAPP(c_List_Orev(_u17644), _u17646) != hAPP(hAPP(c_List_Olist_OCons(_u17644), _u17648), c_List_Olist_ONil(_u17644))) | ( _u17646 = hAPP(hAPP(c_List_Olist_OCons(_u17644), _u17648), c_List_Olist_ONil(_u17644))) )).
% 39.92/40.15 cnf(matrix-7258, plain, ( ( _u17647 != hAPP(hAPP(c_List_Olist_OCons(_u17645), _u17649), c_List_Olist_ONil(_u17645))) | ( hAPP(c_List_Orev(_u17645), _u17647) = hAPP(hAPP(c_List_Olist_OCons(_u17645), _u17649), c_List_Olist_ONil(_u17645))) )).
% 39.92/40.15 cnf(matrix-7259, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17652), hAPP(c_List_Orev(_u17652), _u17654))) | hBOOL(hAPP(c_List_Odistinct(_u17652), _u17654)) )).
% 39.92/40.15 cnf(matrix-7260, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17653), _u17655)) | hBOOL(hAPP(c_List_Odistinct(_u17653), hAPP(c_List_Orev(_u17653), _u17655))) )).
% 39.92/40.15 cnf(matrix-7261, plain, ( ( hAPP(c_List_Orev(_u17656), hAPP(c_List_Ofilter(_u17656, _u17657), _u17658)) = hAPP(c_List_Ofilter(_u17656, _u17657), hAPP(c_List_Orev(_u17656), _u17658))) )).
% 39.92/40.15 cnf(matrix-7262, plain, ( ( _u17664 = _u17666) | ( hAPP(c_List_Orev(_u17662), _u17664) != hAPP(c_List_Orev(_u17662), _u17666)) )).
% 39.92/40.15 cnf(matrix-7263, plain, ( ( _u17665 != _u17667) | ( hAPP(c_List_Orev(_u17663), _u17665) = hAPP(c_List_Orev(_u17663), _u17667)) )).
% 39.92/40.15 cnf(matrix-7264, plain, ( ( hAPP(c_List_Orev(_u17671), _u17673) != _u17675) | ( _u17673 = hAPP(c_List_Orev(_u17671), _u17675)) )).
% 39.92/40.15 cnf(matrix-7265, plain, ( ( _u17674 != hAPP(c_List_Orev(_u17672), _u17676)) | ( hAPP(c_List_Orev(_u17672), _u17674) = _u17676) )).
% 39.92/40.15 cnf(matrix-7266, plain, ( ( hAPP(c_List_Orev(_u17677), hAPP(c_List_Orev(_u17677), _u17678)) = _u17678) )).
% 39.92/40.15 cnf(matrix-7267, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17679)), hAPP(c_List_Orev(_u17679), _u17680)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17679)), _u17680)) )).
% 39.92/40.15 cnf(matrix-7268, plain, ( ~class_Groups_Ocomm__monoid__add(_u17681) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17681), hAPP(c_List_Orev(_u17681), _u17682)) = hAPP(c_List_Omonoid__add__class_Olistsum(_u17681), _u17682)) )).
% 39.92/40.15 cnf(matrix-7269, plain, ( ( hAPP(c_List_Orev(_u17685), _u17687) != c_List_Olist_ONil(_u17685)) | ( _u17687 = c_List_Olist_ONil(_u17685)) )).
% 39.92/40.15 cnf(matrix-7270, plain, ( ( _u17688 != c_List_Olist_ONil(_u17686)) | ( hAPP(c_List_Orev(_u17686), _u17688) = c_List_Olist_ONil(_u17686)) )).
% 39.92/40.15 cnf(matrix-7271, plain, ( ( c_List_Olist_ONil(_u17691) != hAPP(c_List_Orev(_u17691), _u17693)) | ( _u17693 = c_List_Olist_ONil(_u17691)) )).
% 39.92/40.15 cnf(matrix-7272, plain, ( ( _u17694 != c_List_Olist_ONil(_u17692)) | ( c_List_Olist_ONil(_u17692) = hAPP(c_List_Orev(_u17692), _u17694)) )).
% 39.92/40.15 cnf(matrix-7273, plain, ( ( hAPP(c_List_Orev(_u17695), c_List_Olist_ONil(_u17695)) = c_List_Olist_ONil(_u17695)) )).
% 39.92/40.15 cnf(matrix-7274, plain, ( ( hAPP(c_List_Orev(_u17696), hAPP(hAPP(c_List_Oappend(_u17696), _u17697), _u17698)) = hAPP(hAPP(c_List_Oappend(_u17696), hAPP(c_List_Orev(_u17696), _u17698)), hAPP(c_List_Orev(_u17696), _u17697))) )).
% 39.92/40.15 cnf(matrix-7275, plain, ( ( hAPP(c_List_Ofoldl(_u17699, _u17700, _u17701, _u17702), _u17703) = c_List_Ofoldr(_u17700, _u17699, hAPP(c_COMBC(_u17699, _u17700, _u17699), _u17701), hAPP(c_List_Orev(_u17700), _u17703), _u17702)) )).
% 39.92/40.15 cnf(matrix-7276, plain, ( ( c_List_Ofoldr(_u17704, _u17705, _u17706, _u17707, _u17708) = hAPP(c_List_Ofoldl(_u17705, _u17704, hAPP(c_COMBC(_u17704, _u17705, _u17705), _u17706), _u17708), hAPP(c_List_Orev(_u17704), _u17707))) )).
% 39.92/40.15 cnf(matrix-7277, plain, ( ( hAPP(c_List_Orev(_u17713), _u17715) != hAPP(hAPP(c_List_Olist_OCons(_u17713), _u17717), _u17719)) | ( _u17715 = hAPP(hAPP(c_List_Oappend(_u17713), hAPP(c_List_Orev(_u17713), _u17719)), hAPP(hAPP(c_List_Olist_OCons(_u17713), _u17717), c_List_Olist_ONil(_u17713)))) )).
% 39.92/40.15 cnf(matrix-7278, plain, ( ( _u17716 != hAPP(hAPP(c_List_Oappend(_u17714), hAPP(c_List_Orev(_u17714), _u17720)), hAPP(hAPP(c_List_Olist_OCons(_u17714), _u17718), c_List_Olist_ONil(_u17714)))) | ( hAPP(c_List_Orev(_u17714), _u17716) = hAPP(hAPP(c_List_Olist_OCons(_u17714), _u17718), _u17720)) )).
% 39.92/40.15 cnf(matrix-7279, plain, ( ( hAPP(c_List_Orev(_u17721), hAPP(hAPP(c_List_Olist_OCons(_u17721), _u17722), _u17723)) = hAPP(hAPP(c_List_Oappend(_u17721), hAPP(c_List_Orev(_u17721), _u17723)), hAPP(hAPP(c_List_Olist_OCons(_u17721), _u17722), c_List_Olist_ONil(_u17721)))) )).
% 39.92/40.15 cnf(matrix-7280, plain, ( c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17724), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u17724))), c_List_Otranspose(_u17724, _u17725)))) )).
% 39.92/40.15 cnf(matrix-7281, plain, ( ( hAPP(c_List_Orev(_u17726), _u17727) = hAPP(c_List_Ofoldl(tc_List_Olist(_u17726), _u17726, hAPP(c_COMBC(_u17726, tc_List_Olist(_u17726), tc_List_Olist(_u17726)), c_List_Olist_OCons(_u17726)), c_List_Olist_ONil(_u17726)), _u17727)) )).
% 39.92/40.15 cnf(matrix-7282, plain, ( ( hAPP(c_List_Orev(_u17728), hAPP(hAPP(c_List_Otake(_u17728), _u17729), _u17730)) = hAPP(hAPP(c_List_Odrop(_u17728), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17728)), _u17730)), _u17729)), hAPP(c_List_Orev(_u17728), _u17730))) )).
% 39.92/40.15 cnf(matrix-7283, plain, ( ( hAPP(c_List_Orev(_u17731), hAPP(hAPP(c_List_Odrop(_u17731), _u17732), _u17733)) = hAPP(hAPP(c_List_Otake(_u17731), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17731)), _u17733)), _u17732)), hAPP(c_List_Orev(_u17731), _u17733))) )).
% 39.92/40.15 cnf(matrix-7284, plain, ( ( hAPP(c_List_Orotate(_u17734, _u17735), hAPP(c_List_Orev(_u17734), _u17736)) = hAPP(c_List_Orev(_u17734), hAPP(c_List_Orotate(_u17734, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17734)), _u17736)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u17735, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17734)), _u17736)))), _u17736))) )).
% 39.92/40.15 cnf(matrix-7285, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17737), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17738)), _u17739))) | ( hAPP(hAPP(c_List_Onth(_u17738), hAPP(c_List_Orev(_u17738), _u17739)), _u17737) = hAPP(hAPP(c_List_Onth(_u17738), _u17739), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17738)), _u17739)), hAPP(c_Nat_OSuc, _u17737)))) )).
% 39.92/40.15 cnf(matrix-7286, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17740), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17741)), _u17742))) | ( hAPP(c_List_Orev(_u17741), hAPP(hAPP(c_List_Olist__update(_u17741, _u17742), _u17740), _u17743)) = hAPP(hAPP(c_List_Olist__update(_u17741, hAPP(c_List_Orev(_u17741), _u17742)), 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(_u17741)), _u17742)), _u17740)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u17743)) )).
% 39.92/40.15 cnf(matrix-7287, plain, ( ~class_Orderings_Olinorder(_u17744) | ~c_List_Olinorder__class_Osorted(_u17744, hAPP(c_List_Orev(_u17744), _u17745)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17746), _u17747)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17747), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17744)), _u17745))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17744), hAPP(hAPP(c_List_Onth(_u17744), _u17745), _u17747)), hAPP(hAPP(c_List_Onth(_u17744), _u17745), _u17746))) )).
% 39.92/40.15 cnf(matrix-7288, plain, ( ~class_Orderings_Olinorder(_u17748) | ~c_List_Olinorder__class_Osorted(_u17748, hAPP(c_List_Orev(_u17748), _u17749)) | ( _u17749 != c_List_Olist_ONil(_u17748)) | ( c_List_Ofoldr(_u17748, _u17748, c_Orderings_Oord__class_Omax(_u17748), _u17749, _u17750) = _u17750) )).
% 39.92/40.15 cnf(matrix-7289, plain, ( ~class_Orderings_Olinorder(_u17748) | ~c_List_Olinorder__class_Osorted(_u17748, hAPP(c_List_Orev(_u17748), _u17749)) | ( _u17749 = c_List_Olist_ONil(_u17748)) | ( c_List_Ofoldr(_u17748, _u17748, c_Orderings_Oord__class_Omax(_u17748), _u17749, _u17750) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u17748), hAPP(hAPP(c_List_Onth(_u17748), _u17749), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u17750)) )).
% 39.92/40.15 cnf(matrix-7290, plain, ( ~c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17751), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u17751))), _u17752))) | ( _u17752 != c_List_Olist_ONil(tc_List_Olist(_u17751))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17751))), c_List_Otranspose(_u17751, _u17752)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.92/40.15 cnf(matrix-7291, plain, ( ~c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17751), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u17751))), _u17752))) | ( _u17752 = c_List_Olist_ONil(tc_List_Olist(_u17751))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17751))), c_List_Otranspose(_u17751, _u17752)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17751)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u17751)), _u17752), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 39.92/40.15 cnf(matrix-7292, plain, ( ~c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17753), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u17753))), _u17754))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17755), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17753))), _u17754))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17753))), hAPP(c_List_Ofilter(tc_List_Olist(_u17753), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u17753)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17755)), c_Nat_Osize__class_Osize(tc_List_Olist(_u17753)))), c_List_Otranspose(_u17753, _u17754))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17753)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u17753)), _u17754), _u17755))) )).
% 39.92/40.15 cnf(matrix-7293, plain, ( ~c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17756), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u17756))), _u17757))) | ( c_List_Otranspose(_u17756, c_List_Otranspose(_u17756, _u17757)) = c_List_OtakeWhile(tc_List_Olist(_u17756), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u17756)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17756), tc_List_Olist(_u17756), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u17756))), _u17757)) )).
% 39.92/40.15 cnf(matrix-7294, plain, ( ~class_Orderings_Olinorder(_u17760) | c_List_Olinorder__class_Osorted(_u17760, _u17761) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem411(_u17761, _u17760)), skolem412(_u17761, _u17760))) )).
% 39.92/40.15 cnf(matrix-7295, plain, ( ~class_Orderings_Olinorder(_u17760) | c_List_Olinorder__class_Osorted(_u17760, _u17761) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem412(_u17761, _u17760)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17760)), _u17761))) )).
% 39.92/40.15 cnf(matrix-7296, plain, ( ~class_Orderings_Olinorder(_u17760) | c_List_Olinorder__class_Osorted(_u17760, _u17761) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17760), hAPP(hAPP(c_List_Onth(_u17760), _u17761), skolem411(_u17761, _u17760))), hAPP(hAPP(c_List_Onth(_u17760), _u17761), skolem412(_u17761, _u17760)))) )).
% 39.92/40.15 cnf(matrix-7297, plain, ( ~class_Orderings_Olinorder(_u17762) | ~c_List_Olinorder__class_Osorted(_u17762, _u17763) | c_List_Olinorder__class_Osorted(_u17762, c_List_OtakeWhile(_u17762, _u17764, _u17763)) )).
% 39.92/40.15 cnf(matrix-7298, plain, ( hBOOL(hAPP(_u17765, _u17766)) | ( c_List_OtakeWhile(_u17767, _u17765, hAPP(hAPP(c_List_Oappend(_u17767), _u17768), hAPP(hAPP(c_List_Olist_OCons(_u17767), _u17766), _u17769))) = c_List_OtakeWhile(_u17767, _u17765, _u17768)) )).
% 39.92/40.15 cnf(matrix-7299, plain, ( ( c_List_OtakeWhile(_u17770, _u17771, c_List_Olist_ONil(_u17770)) = c_List_Olist_ONil(_u17770)) )).
% 39.92/40.15 cnf(matrix-7300, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17772)), c_List_OtakeWhile(_u17772, _u17773, _u17774))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17772)), _u17774))) )).
% 39.92/40.15 cnf(matrix-7301, plain, ( ( c_List_OtakeWhile(_u17775, _u17776, _u17777) = hAPP(hAPP(c_List_Otake(_u17775), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17775)), c_List_OtakeWhile(_u17775, _u17776, _u17777))), _u17777)) )).
% 39.92/40.15 cnf(matrix-7302, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17778), _u17779)) | hBOOL(hAPP(c_List_Odistinct(_u17778), c_List_OtakeWhile(_u17778, _u17780, _u17779))) )).
% 39.92/40.15 cnf(matrix-7303, plain, ( ~hBOOL(hAPP(_u17785, _u17787)) | ( c_List_OtakeWhile(_u17789, _u17785, hAPP(hAPP(c_List_Olist_OCons(_u17789), _u17787), _u17791)) = hAPP(hAPP(c_List_Olist_OCons(_u17789), _u17787), c_List_OtakeWhile(_u17789, _u17785, _u17791))) )).
% 39.92/40.15 cnf(matrix-7304, plain, ( hBOOL(hAPP(_u17786, _u17788)) | ( c_List_OtakeWhile(_u17790, _u17786, hAPP(hAPP(c_List_Olist_OCons(_u17790), _u17788), _u17792)) = c_List_Olist_ONil(_u17790)) )).
% 39.92/40.15 cnf(matrix-7305, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u17793), _u17794), hAPP(c_List_Oset(_u17793), c_List_OtakeWhile(_u17793, _u17795, _u17796)))) | hBOOL(hAPP(hAPP(c_member(_u17793), _u17794), hAPP(c_List_Oset(_u17793), _u17796))) )).
% 39.92/40.15 cnf(matrix-7306, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u17793), _u17794), hAPP(c_List_Oset(_u17793), c_List_OtakeWhile(_u17793, _u17795, _u17796)))) | hBOOL(hAPP(_u17795, _u17794)) )).
% 39.92/40.15 cnf(matrix-7307, plain, ( ( c_List_OtakeWhile(_u17802, _u17804, _u17806) != _u17806) | ~hBOOL(hAPP(hAPP(c_member(_u17802), _u17797), hAPP(c_List_Oset(_u17802), _u17806))) | hBOOL(hAPP(_u17804, _u17797)) )).
% 39.92/40.15 cnf(matrix-7308, plain, ( ( c_List_OtakeWhile(_u17803, _u17805, _u17807) = _u17807) | hBOOL(hAPP(hAPP(c_member(_u17803), skolem413(_u17807, _u17805, _u17803)), hAPP(c_List_Oset(_u17803), _u17807))) )).
% 39.92/40.15 cnf(matrix-7309, plain, ( ( c_List_OtakeWhile(_u17803, _u17805, _u17807) = _u17807) | ~hBOOL(hAPP(_u17805, skolem413(_u17807, _u17805, _u17803))) )).
% 39.92/40.15 cnf(matrix-7310, plain, ( ( hAPP(hAPP(c_List_Ozip(_u17808, _u17809), c_List_OtakeWhile(_u17808, _u17810, _u17811)), _u17812) = c_List_OtakeWhile(tc_prod(_u17808, _u17809), hAPP(c_Fun_Ocomp(_u17808, tc_HOL_Obool, tc_prod(_u17808, _u17809), _u17810), c_Product__Type_Ofst(_u17808, _u17809)), hAPP(hAPP(c_List_Ozip(_u17808, _u17809), _u17811), _u17812))) )).
% 39.92/40.15 cnf(matrix-7311, plain, ( ( hAPP(hAPP(c_List_Ozip(_u17813, _u17814), _u17815), c_List_OtakeWhile(_u17814, _u17816, _u17817)) = c_List_OtakeWhile(tc_prod(_u17813, _u17814), hAPP(c_Fun_Ocomp(_u17814, tc_HOL_Obool, tc_prod(_u17813, _u17814), _u17816), c_Product__Type_Osnd(_u17813, _u17814)), hAPP(hAPP(c_List_Ozip(_u17813, _u17814), _u17815), _u17817))) )).
% 39.92/40.15 cnf(matrix-7312, plain, ( ( c_List_OtakeWhile(_u17818, _u17819, hAPP(hAPP(c_List_Omap(_u17820, _u17818), _u17821), _u17822)) = hAPP(hAPP(c_List_Omap(_u17820, _u17818), _u17821), c_List_OtakeWhile(_u17820, hAPP(c_Fun_Ocomp(_u17818, tc_HOL_Obool, _u17820, _u17819), _u17821), _u17822))) )).
% 39.92/40.15 cnf(matrix-7313, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u17823), _u17824), hAPP(c_List_Oset(_u17823), _u17825))) | hBOOL(hAPP(_u17826, _u17824)) | ( c_List_OtakeWhile(_u17823, _u17826, hAPP(hAPP(c_List_Oappend(_u17823), _u17825), _u17827)) = c_List_OtakeWhile(_u17823, _u17826, _u17825)) )).
% 39.92/40.15 cnf(matrix-7314, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17828), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17829)), c_List_OtakeWhile(_u17829, _u17830, _u17831)))) | ( hAPP(hAPP(c_List_Onth(_u17829), c_List_OtakeWhile(_u17829, _u17830, _u17831)), _u17828) = hAPP(hAPP(c_List_Onth(_u17829), _u17831), _u17828)) )).
% 39.92/40.15 cnf(matrix-7315, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17832)), c_List_OtakeWhile(_u17832, _u17833, _u17834))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17832)), _u17834))) | ~hBOOL(hAPP(_u17833, hAPP(hAPP(c_List_Onth(_u17832), _u17834), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17832)), c_List_OtakeWhile(_u17832, _u17833, _u17834))))) )).
% 39.92/40.15 cnf(matrix-7316, plain, ( ( c_Map_Omap__upds(_u17835, _u17836, _u17837, _u17838, _u17839) = c_Map_Omap__add(_u17835, _u17836, _u17837, hAPP(c_Map_Omap__of(_u17835, _u17836), hAPP(c_List_Orev(tc_prod(_u17835, _u17836)), hAPP(hAPP(c_List_Ozip(_u17835, _u17836), _u17838), _u17839))))) )).
% 39.92/40.15 cnf(matrix-7317, plain, ( ~class_Orderings_Olinorder(_u17840) | ~c_List_Olinorder__class_Osorted(_u17840, hAPP(c_List_Orev(_u17840), hAPP(hAPP(c_List_Omap(_u17841, _u17840), _u17842), _u17843))) | ( hAPP(c_List_Ofilter(_u17841, hAPP(hAPP(c_COMBB(_u17840, tc_HOL_Obool, _u17841), hAPP(c_Orderings_Oord__class_Oless(_u17840), _u17844)), _u17842)), _u17843) = c_List_OtakeWhile(_u17841, hAPP(hAPP(c_COMBB(_u17840, tc_HOL_Obool, _u17841), hAPP(c_Orderings_Oord__class_Oless(_u17840), _u17844)), _u17842), _u17843)) )).
% 39.92/40.15 cnf(matrix-7318, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17845), _u17846)) | ~hBOOL(hAPP(hAPP(c_member(_u17845), _u17847), hAPP(c_List_Oset(_u17845), _u17846))) | ( c_List_OtakeWhile(_u17845, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u17845), c_fNot), hAPP(hAPP(c_COMBC(_u17845, _u17845, tc_HOL_Obool), c_fequal), _u17847)), hAPP(c_List_Orev(_u17845), _u17846)) = hAPP(c_List_Orev(_u17845), hAPP(c_List_Otl(_u17845), c_List_OdropWhile(_u17845, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u17845), c_fNot), hAPP(hAPP(c_COMBC(_u17845, _u17845, tc_HOL_Obool), c_fequal), _u17847)), _u17846)))) )).
% 39.92/40.15 cnf(matrix-7319, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17848), _u17849)) | ~hBOOL(hAPP(hAPP(c_member(_u17848), _u17850), hAPP(c_List_Oset(_u17848), _u17849))) | ( c_List_OdropWhile(_u17848, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u17848), c_fNot), hAPP(hAPP(c_COMBC(_u17848, _u17848, tc_HOL_Obool), c_fequal), _u17850)), hAPP(c_List_Orev(_u17848), _u17849)) = hAPP(hAPP(c_List_Olist_OCons(_u17848), _u17850), hAPP(c_List_Orev(_u17848), c_List_OtakeWhile(_u17848, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u17848), c_fNot), hAPP(hAPP(c_COMBC(_u17848, _u17848, tc_HOL_Obool), c_fequal), _u17850)), _u17849)))) )).
% 39.92/40.15 cnf(matrix-7320, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17851)), c_List_OdropWhile(_u17851, _u17852, _u17853))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17851)), _u17853))) )).
% 39.92/40.15 cnf(matrix-7321, plain, ( ~hBOOL(hAPP(_u17858, _u17860)) | ( c_List_OdropWhile(_u17862, _u17858, hAPP(hAPP(c_List_Olist_OCons(_u17862), _u17860), _u17864)) = c_List_OdropWhile(_u17862, _u17858, _u17864)) )).
% 39.92/40.15 cnf(matrix-7322, plain, ( hBOOL(hAPP(_u17859, _u17861)) | ( c_List_OdropWhile(_u17863, _u17859, hAPP(hAPP(c_List_Olist_OCons(_u17863), _u17861), _u17865)) = hAPP(hAPP(c_List_Olist_OCons(_u17863), _u17861), _u17865)) )).
% 39.92/40.15 cnf(matrix-7323, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17866), _u17867)) | hBOOL(hAPP(c_List_Odistinct(_u17866), c_List_OdropWhile(_u17866, _u17868, _u17867))) )).
% 39.92/40.15 cnf(matrix-7324, plain, ( ( c_List_OdropWhile(_u17869, _u17870, c_List_Olist_ONil(_u17869)) = c_List_Olist_ONil(_u17869)) )).
% 39.92/40.15 cnf(matrix-7325, plain, ( ( c_List_OdropWhile(_u17876, _u17878, _u17880) != c_List_Olist_ONil(_u17876)) | ~hBOOL(hAPP(hAPP(c_member(_u17876), _u17871), hAPP(c_List_Oset(_u17876), _u17880))) | hBOOL(hAPP(_u17878, _u17871)) )).
% 39.92/40.15 cnf(matrix-7326, plain, ( ( c_List_OdropWhile(_u17877, _u17879, _u17881) = c_List_Olist_ONil(_u17877)) | hBOOL(hAPP(hAPP(c_member(_u17877), skolem414(_u17881, _u17879, _u17877)), hAPP(c_List_Oset(_u17877), _u17881))) )).
% 39.92/40.15 cnf(matrix-7327, plain, ( ( c_List_OdropWhile(_u17877, _u17879, _u17881) = c_List_Olist_ONil(_u17877)) | ~hBOOL(hAPP(_u17879, skolem414(_u17881, _u17879, _u17877))) )).
% 39.92/40.15 cnf(matrix-7328, plain, ( ~class_Orderings_Olinorder(_u17882) | ~c_List_Olinorder__class_Osorted(_u17882, _u17883) | c_List_Olinorder__class_Osorted(_u17882, c_List_OdropWhile(_u17882, _u17884, _u17883)) )).
% 39.92/40.15 cnf(matrix-7329, plain, ( ( hAPP(hAPP(c_List_Oappend(_u17885), c_List_OtakeWhile(_u17885, _u17886, _u17887)), c_List_OdropWhile(_u17885, _u17886, _u17887)) = _u17887) )).
% 39.92/40.15 cnf(matrix-7330, plain, ( ( c_List_OdropWhile(_u17888, _u17889, _u17890) = c_List_Olist_ONil(_u17888)) | ~hBOOL(hAPP(_u17889, hAPP(c_List_Ohd(_u17888), c_List_OdropWhile(_u17888, _u17889, _u17890)))) )).
% 39.92/40.15 cnf(matrix-7331, plain, ( ( c_List_OdropWhile(_u17891, _u17892, hAPP(hAPP(c_List_Omap(_u17893, _u17891), _u17894), _u17895)) = hAPP(hAPP(c_List_Omap(_u17893, _u17891), _u17894), c_List_OdropWhile(_u17893, hAPP(c_Fun_Ocomp(_u17891, tc_HOL_Obool, _u17893, _u17892), _u17894), _u17895))) )).
% 39.92/40.15 cnf(matrix-7332, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u17896), _u17897), hAPP(c_List_Oset(_u17896), _u17898))) | hBOOL(hAPP(_u17899, _u17897)) | ( c_List_OdropWhile(_u17896, _u17899, hAPP(hAPP(c_List_Oappend(_u17896), _u17898), _u17900)) = hAPP(hAPP(c_List_Oappend(_u17896), c_List_OdropWhile(_u17896, _u17899, _u17898)), _u17900)) )).
% 39.92/40.15 cnf(matrix-7333, plain, ( ( c_List_OdropWhile(_u17906, _u17908, _u17910) != hAPP(hAPP(c_List_Olist_OCons(_u17906), _u17912), _u17914)) | ( _u17910 = hAPP(hAPP(c_List_Oappend(_u17906), c_List_OtakeWhile(_u17906, _u17908, _u17910)), hAPP(hAPP(c_List_Olist_OCons(_u17906), _u17912), _u17914))) )).
% 39.92/40.15 cnf(matrix-7334, plain, ( ( c_List_OdropWhile(_u17906, _u17908, _u17910) != hAPP(hAPP(c_List_Olist_OCons(_u17906), _u17912), _u17914)) | ~hBOOL(hAPP(_u17908, _u17912)) )).
% 39.92/40.15 cnf(matrix-7335, plain, ( ( _u17911 != hAPP(hAPP(c_List_Oappend(_u17907), c_List_OtakeWhile(_u17907, _u17909, _u17911)), hAPP(hAPP(c_List_Olist_OCons(_u17907), _u17913), _u17915))) | hBOOL(hAPP(_u17909, _u17913)) | ( c_List_OdropWhile(_u17907, _u17909, _u17911) = hAPP(hAPP(c_List_Olist_OCons(_u17907), _u17913), _u17915)) )).
% 39.92/40.15 cnf(matrix-7336, plain, ( ( c_List_OdropWhile(_u17916, _u17917, _u17918) = hAPP(hAPP(c_List_Odrop(_u17916), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17916)), c_List_OtakeWhile(_u17916, _u17917, _u17918))), _u17918)) )).
% 39.92/40.15 cnf(matrix-7337, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17919), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17920)), c_List_OdropWhile(_u17920, _u17921, _u17922)))) | ( hAPP(hAPP(c_List_Onth(_u17920), c_List_OdropWhile(_u17920, _u17921, _u17922)), _u17919) = hAPP(hAPP(c_List_Onth(_u17920), _u17922), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17919), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17920)), c_List_OtakeWhile(_u17920, _u17921, _u17922))))) )).
% 39.92/40.15 cnf(matrix-7338, plain, ( ~class_Orderings_Olinorder(_u17923) | ( c_List_Olinorder__class_Osort__key(_u17923, _u17923, c_COMBI(_u17923), _u17924) = hAPP(c_List_Ofoldl(tc_List_Olist(_u17923), _u17923, hAPP(c_COMBC(_u17923, tc_List_Olist(_u17923), tc_List_Olist(_u17923)), c_List_Olinorder__class_Oinsort__key(_u17923, _u17923, c_COMBI(_u17923))), c_List_Olist_ONil(_u17923)), _u17924)) )).
% 39.92/40.15 cnf(matrix-7339, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17932), tc_List_Olist(_u17932))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17932), tc_List_Olist(_u17932)), c_List_Olist_ONil(_u17932)), _u17934)), c_List_Olexord(_u17932, _u17936))) | ( _u17934 = hAPP(hAPP(c_List_Olist_OCons(_u17932), skolem415(_u17936, _u17934, _u17932)), skolem416(_u17936, _u17934, _u17932))) )).
% 39.92/40.15 cnf(matrix-7340, plain, ( ( _u17935 != hAPP(hAPP(c_List_Olist_OCons(_u17933), _u17928), _u17927)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17933), tc_List_Olist(_u17933))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17933), tc_List_Olist(_u17933)), c_List_Olist_ONil(_u17933)), _u17935)), c_List_Olexord(_u17933, _u17937))) )).
% 39.92/40.15 cnf(matrix-7341, plain, ( ~class_Orderings_Olinorder(_u17938) | c_List_Olinorder__class_Osorted(_u17938, c_List_Olinorder__class_Osort__key(_u17938, _u17938, c_COMBI(_u17938), _u17939)) )).
% 39.92/40.15 cnf(matrix-7342, plain, ( ~class_Orderings_Olinorder(_u17940) | ( c_List_Olinorder__class_Osort__key(_u17941, _u17940, _u17942, c_List_Olist_ONil(_u17941)) = c_List_Olist_ONil(_u17941)) )).
% 39.92/40.15 cnf(matrix-7343, plain, ( ~class_Orderings_Olinorder(_u17943) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17944)), c_List_Olinorder__class_Osort__key(_u17944, _u17943, _u17945, _u17946)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17944)), _u17946)) )).
% 39.92/40.15 cnf(matrix-7344, plain, ( ~class_Orderings_Olinorder(_u17947) | ( hAPP(c_List_Ofilter(_u17948, _u17949), c_List_Olinorder__class_Osort__key(_u17948, _u17947, _u17950, _u17951)) = c_List_Olinorder__class_Osort__key(_u17948, _u17947, _u17950, hAPP(c_List_Ofilter(_u17948, _u17949), _u17951))) )).
% 39.92/40.15 cnf(matrix-7345, plain, ( ~class_Orderings_Olinorder(_u17952) | ~hBOOL(hAPP(c_List_Odistinct(_u17953), c_List_Olinorder__class_Osort__key(_u17953, _u17952, _u17954, _u17955))) | hBOOL(hAPP(c_List_Odistinct(_u17953), _u17955)) )).
% 39.92/40.15 cnf(matrix-7346, plain, ( ~class_Orderings_Olinorder(_u17952) | ~hBOOL(hAPP(c_List_Odistinct(_u17953), _u17955)) | hBOOL(hAPP(c_List_Odistinct(_u17953), c_List_Olinorder__class_Osort__key(_u17953, _u17952, _u17954, _u17955))) )).
% 39.92/40.15 cnf(matrix-7347, plain, ( ~class_Orderings_Olinorder(_u17956) | ( hAPP(c_List_Oset(_u17957), c_List_Olinorder__class_Osort__key(_u17957, _u17956, _u17958, _u17959)) = hAPP(c_List_Oset(_u17957), _u17959)) )).
% 39.92/40.15 cnf(matrix-7348, plain, ( ~class_Orderings_Olinorder(_u17960) | c_List_Olinorder__class_Osorted(_u17960, hAPP(hAPP(c_List_Omap(_u17961, _u17960), _u17962), c_List_Olinorder__class_Osort__key(_u17961, _u17960, _u17962, _u17963))) )).
% 39.92/40.15 cnf(matrix-7349, plain, ( ~class_Orderings_Olinorder(_u17964) | ( c_List_Olinorder__class_Osort__key(_u17965, _u17964, _u17966, hAPP(hAPP(c_List_Olist_OCons(_u17965), _u17967), _u17968)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17965, _u17964, _u17966), _u17967), c_List_Olinorder__class_Osort__key(_u17965, _u17964, _u17966, _u17968))) )).
% 39.92/40.15 cnf(matrix-7350, plain, ( ~class_Orderings_Olinorder(_u17969) | ( c_List_Olinorder__class_Osorted__list__of__set(_u17969, hAPP(c_List_Oset(_u17969), _u17970)) = c_List_Olinorder__class_Osort__key(_u17969, _u17969, c_COMBI(_u17969), c_List_Oremdups(_u17969, _u17970))) )).
% 39.92/40.15 cnf(matrix-7351, plain, ( ( _u17971 = c_List_Olist_ONil(_u17972)) | ( _u17973 != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17972)), _u17971)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Olast(_u17972, hAPP(hAPP(c_List_Olist__update(_u17972, _u17971), _u17973), _u17974)) = _u17974) )).
% 39.92/40.15 cnf(matrix-7352, plain, ( ( _u17971 = c_List_Olist_ONil(_u17972)) | ( _u17973 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17972)), _u17971)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Olast(_u17972, hAPP(hAPP(c_List_Olist__update(_u17972, _u17971), _u17973), _u17974)) = c_List_Olast(_u17972, _u17971)) )).
% 39.92/40.15 cnf(matrix-7353, plain, ( ( c_List_OtakeWhile(_u17976, _u17977, _u17978) = hAPP(c_List_Ofilter(_u17976, _u17977), _u17978)) | hBOOL(hAPP(hAPP(c_member(_u17976), skolem417(_u17978, _u17977, _u17976)), hAPP(c_List_Oset(_u17976), c_List_OdropWhile(_u17976, _u17977, _u17978)))) )).
% 39.92/40.15 cnf(matrix-7354, plain, ( ( c_List_OtakeWhile(_u17976, _u17977, _u17978) = hAPP(c_List_Ofilter(_u17976, _u17977), _u17978)) | hBOOL(hAPP(_u17977, skolem417(_u17978, _u17977, _u17976))) )).
% 39.92/40.15 cnf(matrix-7355, plain, ( ( _u17979 = c_List_Olist_ONil(_u17980)) | ( c_List_Olast(_u17981, hAPP(hAPP(c_List_Omap(_u17980, _u17981), _u17982), _u17979)) = hAPP(_u17982, c_List_Olast(_u17980, _u17979))) )).
% 39.92/40.15 cnf(matrix-7356, plain, ( ( _u17986 != c_List_Olist_ONil(_u17988)) | ( c_List_Olast(_u17988, hAPP(hAPP(c_List_Oappend(_u17988), _u17990), _u17986)) = c_List_Olast(_u17988, _u17990)) )).
% 39.92/40.15 cnf(matrix-7357, plain, ( ( _u17987 = c_List_Olist_ONil(_u17989)) | ( c_List_Olast(_u17989, hAPP(hAPP(c_List_Oappend(_u17989), _u17991), _u17987)) = c_List_Olast(_u17989, _u17987)) )).
% 39.92/40.15 cnf(matrix-7358, plain, ( ( _u17992 = c_List_Olist_ONil(_u17993)) | ( c_List_Olast(_u17993, hAPP(hAPP(c_List_Oappend(_u17993), _u17994), _u17992)) = c_List_Olast(_u17993, _u17992)) )).
% 39.92/40.15 cnf(matrix-7359, plain, ( ( _u17995 != c_List_Olist_ONil(_u17996)) | ( c_List_Olast(_u17996, hAPP(hAPP(c_List_Oappend(_u17996), _u17997), _u17995)) = c_List_Olast(_u17996, _u17997)) )).
% 39.92/40.15 cnf(matrix-7360, plain, ( ( _u17998 != c_List_Olist_ONil(_u17999)) | ( c_List_Olast(_u17999, hAPP(hAPP(c_List_Olist_OCons(_u17999), _u18000), _u17998)) = _u18000) )).
% 39.92/40.15 cnf(matrix-7361, plain, ( ( _u18001 = c_List_Olist_ONil(_u18002)) | ( c_List_Olast(_u18002, hAPP(hAPP(c_List_Olist_OCons(_u18002), _u18003), _u18001)) = c_List_Olast(_u18002, _u18001)) )).
% 39.92/40.15 cnf(matrix-7362, plain, ( ( _u18007 != c_List_Olist_ONil(_u18009)) | ( c_List_Olast(_u18009, hAPP(hAPP(c_List_Olist_OCons(_u18009), _u18011), _u18007)) = _u18011) )).
% 39.92/40.15 cnf(matrix-7363, plain, ( ( _u18008 = c_List_Olist_ONil(_u18010)) | ( c_List_Olast(_u18010, hAPP(hAPP(c_List_Olist_OCons(_u18010), _u18012), _u18008)) = c_List_Olast(_u18010, _u18008)) )).
% 39.92/40.15 cnf(matrix-7364, plain, ( ( _u18013 = c_List_Olist_ONil(_u18014)) | hBOOL(hAPP(hAPP(c_member(_u18014), c_List_Olast(_u18014, _u18013)), hAPP(c_List_Oset(_u18014), _u18013))) )).
% 39.92/40.15 cnf(matrix-7365, plain, ( ( c_List_Olast(_u18015, hAPP(hAPP(c_List_Oappend(_u18015), _u18016), hAPP(hAPP(c_List_Olist_OCons(_u18015), _u18017), c_List_Olist_ONil(_u18015)))) = _u18017) )).
% 39.92/40.15 cnf(matrix-7366, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18018), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18019)), _u18020))) | ( c_List_Olast(_u18019, hAPP(hAPP(c_List_Odrop(_u18019), _u18018), _u18020)) = c_List_Olast(_u18019, _u18020)) )).
% 39.92/40.15 cnf(matrix-7367, plain, ( ( _u18021 = c_List_Olist_ONil(_u18022)) | ( c_List_Olast(_u18022, hAPP(c_List_Orev(_u18022), _u18021)) = hAPP(c_List_Ohd(_u18022), _u18021)) )).
% 39.92/40.15 cnf(matrix-7368, plain, ( ( _u18023 = c_List_Olist_ONil(_u18024)) | ( hAPP(c_List_Ohd(_u18024), hAPP(c_List_Orev(_u18024), _u18023)) = c_List_Olast(_u18024, _u18023)) )).
% 39.92/40.15 cnf(matrix-7369, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18025), _u18026)) | ( c_List_Olast(tc_Nat_Onat, c_List_Oupt(_u18025, _u18026)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u18026), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 39.92/40.15 cnf(matrix-7370, plain, ( ( hAPP(hAPP(c_List_Oappend(_u18031), _u18033), hAPP(hAPP(c_List_Olist_OCons(_u18031), _u18035), c_List_Olist_ONil(_u18031))) != _u18037) | ( _u18037 != c_List_Olist_ONil(_u18031)) )).
% 39.92/40.15 cnf(matrix-7371, plain, ( ( hAPP(hAPP(c_List_Oappend(_u18031), _u18033), hAPP(hAPP(c_List_Olist_OCons(_u18031), _u18035), c_List_Olist_ONil(_u18031))) != _u18037) | ( c_List_Obutlast(_u18031, _u18037) = _u18033) )).
% 39.92/40.15 cnf(matrix-7372, plain, ( ( hAPP(hAPP(c_List_Oappend(_u18031), _u18033), hAPP(hAPP(c_List_Olist_OCons(_u18031), _u18035), c_List_Olist_ONil(_u18031))) != _u18037) | ( c_List_Olast(_u18031, _u18037) = _u18035) )).
% 39.92/40.15 cnf(matrix-7373, plain, ( ( _u18038 = c_List_Olist_ONil(_u18032)) | ( c_List_Obutlast(_u18032, _u18038) != _u18034) | ( c_List_Olast(_u18032, _u18038) != _u18036) | ( hAPP(hAPP(c_List_Oappend(_u18032), _u18034), hAPP(hAPP(c_List_Olist_OCons(_u18032), _u18036), c_List_Olist_ONil(_u18032))) = _u18038) )).
% 39.92/40.15 cnf(matrix-7374, plain, ( ( _u18039 = c_List_Olist_ONil(_u18040)) | ( hAPP(hAPP(c_List_Oappend(_u18040), c_List_Obutlast(_u18040, _u18039)), hAPP(hAPP(c_List_Olist_OCons(_u18040), c_List_Olast(_u18040, _u18039)), c_List_Olist_ONil(_u18040))) = _u18039) )).
% 39.92/40.15 cnf(matrix-7375, plain, ( ( _u18041 = c_List_Olist_ONil(_u18042)) | ~hBOOL(hAPP(c_List_Odistinct(_u18042), _u18041)) | ( c_List_OtakeWhile(_u18042, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18042), c_fNot), hAPP(hAPP(c_COMBC(_u18042, _u18042, tc_HOL_Obool), c_fequal), c_List_Olast(_u18042, _u18041))), _u18041) = c_List_Obutlast(_u18042, _u18041)) )).
% 39.92/40.15 cnf(matrix-7376, plain, ( ( _u18043 = c_List_Olist_ONil(_u18044)) | ( c_List_Olast(_u18044, _u18043) = hAPP(hAPP(c_List_Onth(_u18044), _u18043), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18044)), _u18043)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 39.92/40.15 cnf(matrix-7377, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18052)), _u18054), c_List_Olists(_u18052, _u18056))) | ( _u18054 = c_List_Olist_ONil(_u18052)) | hBOOL(hAPP(hAPP(c_member(_u18052), skolem418(_u18056, _u18054, _u18052)), _u18056)) )).
% 39.92/40.15 cnf(matrix-7378, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18052)), _u18054), c_List_Olists(_u18052, _u18056))) | ( _u18054 = c_List_Olist_ONil(_u18052)) | ( _u18054 = hAPP(hAPP(c_List_Olist_OCons(_u18052), skolem418(_u18056, _u18054, _u18052)), skolem419(_u18056, _u18054, _u18052))) )).
% 39.92/40.15 cnf(matrix-7379, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18052)), _u18054), c_List_Olists(_u18052, _u18056))) | ( _u18054 = c_List_Olist_ONil(_u18052)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18052)), skolem419(_u18056, _u18054, _u18052)), c_List_Olists(_u18052, _u18056))) )).
% 39.92/40.15 cnf(matrix-7380, plain, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18053)), _u18055), c_List_Olists(_u18053, _u18057))) | ( _u18055 != c_List_Olist_ONil(_u18053)) )).
% 39.92/40.15 cnf(matrix-7381, plain, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18053)), _u18055), c_List_Olists(_u18053, _u18057))) | ~hBOOL(hAPP(hAPP(c_member(_u18053), _u18048), _u18057)) | ( _u18055 != hAPP(hAPP(c_List_Olist_OCons(_u18053), _u18048), _u18047)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18053)), _u18047), c_List_Olists(_u18053, _u18057))) )).
% 39.92/40.15 cnf(matrix-7382, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem420(_u18062, _u18061, _u18060, _u18059)), _u18059)) | ( c_List_OtakeWhile(_u18060, _u18062, _u18061) = hAPP(hAPP(c_List_Otake(_u18060), _u18059), _u18061)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18059), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18060)), _u18061))) )).
% 39.92/40.15 cnf(matrix-7383, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem420(_u18062, _u18061, _u18060, _u18059)), _u18059)) | ( c_List_OtakeWhile(_u18060, _u18062, _u18061) = hAPP(hAPP(c_List_Otake(_u18060), _u18059), _u18061)) | hBOOL(hAPP(_u18062, hAPP(hAPP(c_List_Onth(_u18060), _u18061), _u18059))) )).
% 39.92/40.15 cnf(matrix-7384, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem420(_u18062, _u18061, _u18060, _u18059)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18060)), _u18061))) | ( c_List_OtakeWhile(_u18060, _u18062, _u18061) = hAPP(hAPP(c_List_Otake(_u18060), _u18059), _u18061)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18059), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18060)), _u18061))) )).
% 39.92/40.15 cnf(matrix-7385, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem420(_u18062, _u18061, _u18060, _u18059)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18060)), _u18061))) | ( c_List_OtakeWhile(_u18060, _u18062, _u18061) = hAPP(hAPP(c_List_Otake(_u18060), _u18059), _u18061)) | hBOOL(hAPP(_u18062, hAPP(hAPP(c_List_Onth(_u18060), _u18061), _u18059))) )).
% 39.92/40.15 cnf(matrix-7386, plain, ( ~hBOOL(hAPP(_u18062, hAPP(hAPP(c_List_Onth(_u18060), _u18061), skolem420(_u18062, _u18061, _u18060, _u18059)))) | ( c_List_OtakeWhile(_u18060, _u18062, _u18061) = hAPP(hAPP(c_List_Otake(_u18060), _u18059), _u18061)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18059), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18060)), _u18061))) )).
% 39.92/40.15 cnf(matrix-7387, plain, ( ~hBOOL(hAPP(_u18062, hAPP(hAPP(c_List_Onth(_u18060), _u18061), skolem420(_u18062, _u18061, _u18060, _u18059)))) | ( c_List_OtakeWhile(_u18060, _u18062, _u18061) = hAPP(hAPP(c_List_Otake(_u18060), _u18059), _u18061)) | hBOOL(hAPP(_u18062, hAPP(hAPP(c_List_Onth(_u18060), _u18061), _u18059))) )).
% 39.92/40.15 cnf(matrix-7388, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18064), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18066)), _u18067))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18064), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18066)), c_List_OtakeWhile(_u18066, _u18065, _u18067)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem421(_u18067, _u18066, _u18065, _u18064)), _u18064)) )).
% 39.92/40.15 cnf(matrix-7389, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18064), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18066)), _u18067))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18064), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18066)), c_List_OtakeWhile(_u18066, _u18065, _u18067)))) | ~hBOOL(hAPP(_u18065, hAPP(hAPP(c_List_Onth(_u18066), _u18067), skolem421(_u18067, _u18066, _u18065, _u18064)))) )).
% 39.92/40.15 cnf(matrix-7390, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u18068) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18069, _u18068), hAPP(c_List_Oset(_u18069), _u18070)), _u18071) = hAPP(c_List_Ofoldl(_u18068, _u18069, hAPP(c_COMBC(_u18069, _u18068, _u18068), hAPP(hAPP(c_COMBB(_u18068, tc_fun(_u18068, _u18068), _u18069), c_Lattices_Osemilattice__inf__class_Oinf(_u18068)), _u18071)), c_Orderings_Otop__class_Otop(_u18068)), _u18070)) )).
% 39.92/40.15 cnf(matrix-7391, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18072), _u18073), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18074, tc_fun(_u18072, tc_HOL_Obool)), _u18075), _u18076))) | ~hBOOL(hAPP(hAPP(c_member(_u18074), _u18077), _u18075)) | hBOOL(hAPP(hAPP(c_member(_u18072), _u18073), hAPP(_u18076, _u18077))) )).
% 39.92/40.15 cnf(matrix-7392, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18078), _u18079), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18080, tc_fun(_u18078, tc_HOL_Obool)), _u18081), _u18082))) | hBOOL(hAPP(hAPP(c_member(_u18078), _u18079), hAPP(_u18082, _u18083))) | ~hBOOL(hAPP(hAPP(c_member(_u18080), _u18083), _u18081)) )).
% 39.92/40.15 cnf(matrix-7393, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18084, tc_fun(_u18085, tc_HOL_Obool)), _u18086), _u18087), _u18088)) | hBOOL(hAPP(hAPP(_u18087, _u18089), _u18088)) | ~hBOOL(hAPP(hAPP(c_member(_u18084), _u18089), _u18086)) )).
% 39.92/40.15 cnf(matrix-7394, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18090, tc_fun(_u18091, tc_HOL_Obool)), _u18092), _u18093), _u18094)) | ~hBOOL(hAPP(hAPP(c_member(_u18090), _u18095), _u18092)) | hBOOL(hAPP(hAPP(_u18093, _u18095), _u18094)) )).
% 39.92/40.15 cnf(matrix-7395, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18096, tc_fun(_u18097, tc_fun(_u18098, tc_HOL_Obool))), _u18099), _u18100), _u18101), _u18102)) | ~hBOOL(hAPP(hAPP(c_member(_u18096), _u18103), _u18099)) | hBOOL(hAPP(hAPP(hAPP(_u18100, _u18103), _u18101), _u18102)) )).
% 39.92/40.15 cnf(matrix-7396, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18104, tc_fun(_u18105, tc_fun(_u18106, tc_HOL_Obool))), _u18107), _u18108), _u18109), _u18110)) | hBOOL(hAPP(hAPP(hAPP(_u18108, _u18111), _u18109), _u18110)) | ~hBOOL(hAPP(hAPP(c_member(_u18104), _u18111), _u18107)) )).
% 39.92/40.15 cnf(matrix-7397, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18113), _u18112), _u18114)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18115), hAPP(_u18116, _u18112))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u18115), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18113, tc_fun(_u18115, tc_HOL_Obool)), _u18114), _u18116))) )).
% 39.92/40.15 cnf(matrix-7398, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u18117) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18118, tc_HOL_Obool)), _u18119), _u18120)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18117), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18118, _u18117), _u18120), _u18121)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18118, _u18117), _u18119), _u18121))) )).
% 39.92/40.15 cnf(matrix-7399, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u18122, tc_HOL_Obool)), _u18123), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18124, tc_fun(_u18122, tc_HOL_Obool)), _u18125), _u18126)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u18124, tc_fun(_u18122, tc_HOL_Obool)), _u18125), hAPP(hAPP(c_COMBB(tc_fun(_u18122, tc_HOL_Obool), tc_fun(_u18122, tc_HOL_Obool), _u18124), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u18122, tc_HOL_Obool)), _u18123)), _u18126))) )).
% 39.92/40.15 cnf(matrix-7400, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u18127, tc_fun(_u18128, tc_HOL_Obool)), _u18129), hAPP(hAPP(c_COMBB(tc_fun(_u18128, tc_HOL_Obool), tc_fun(_u18128, tc_HOL_Obool), _u18127), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u18128, tc_HOL_Obool)), _u18130)), _u18131)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u18128, tc_HOL_Obool)), _u18130), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18127, tc_fun(_u18128, tc_HOL_Obool)), _u18129), _u18131))) )).
% 39.92/40.15 cnf(matrix-7401, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18132, tc_fun(_u18133, tc_HOL_Obool)), _u18134), hAPP(hAPP(c_COMBC(_u18132, tc_fun(_u18135, tc_fun(_u18133, tc_HOL_Obool)), tc_fun(_u18133, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18135, tc_HOL_Obool), tc_fun(tc_fun(_u18135, tc_fun(_u18133, tc_HOL_Obool)), tc_fun(_u18133, tc_HOL_Obool)), _u18132), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18135, tc_fun(_u18133, tc_HOL_Obool))), _u18136)), _u18137)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18135, tc_fun(_u18133, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u18132, tc_fun(_u18135, tc_HOL_Obool)), _u18134), _u18136)), _u18137)) )).
% 39.92/40.15 cnf(matrix-7402, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18138, tc_fun(_u18139, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u18140, tc_fun(_u18138, tc_HOL_Obool)), _u18141), _u18142)), _u18143) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18140, tc_fun(_u18139, tc_HOL_Obool)), _u18141), hAPP(hAPP(c_COMBC(_u18140, tc_fun(_u18138, tc_fun(_u18139, tc_HOL_Obool)), tc_fun(_u18139, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18138, tc_HOL_Obool), tc_fun(tc_fun(_u18138, tc_fun(_u18139, tc_HOL_Obool)), tc_fun(_u18139, tc_HOL_Obool)), _u18140), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18138, tc_fun(_u18139, tc_HOL_Obool))), _u18142)), _u18143))) )).
% 39.92/40.16 cnf(matrix-7403, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u18144, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u18145, tc_fun(_u18144, tc_HOL_Obool)), _u18146), _u18147)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18145, tc_fun(_u18144, tc_HOL_Obool)), _u18146), hAPP(hAPP(c_COMBB(tc_fun(_u18144, tc_HOL_Obool), tc_fun(_u18144, tc_HOL_Obool), _u18145), c_Groups_Ouminus__class_Ouminus(tc_fun(_u18144, tc_HOL_Obool))), _u18147))) )).
% 39.92/40.16 cnf(matrix-7404, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u18148, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18149, tc_fun(_u18148, tc_HOL_Obool)), _u18150), _u18151)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u18149, tc_fun(_u18148, tc_HOL_Obool)), _u18150), hAPP(hAPP(c_COMBB(tc_fun(_u18148, tc_HOL_Obool), tc_fun(_u18148, tc_HOL_Obool), _u18149), c_Groups_Ouminus__class_Ouminus(tc_fun(_u18148, tc_HOL_Obool))), _u18151))) )).
% 39.92/40.16 cnf(matrix-7405, plain, ( ( hAPP(c_Set_OCollect(_u18152), hAPP(hAPP(c_COMBB(tc_fun(_u18153, tc_HOL_Obool), tc_HOL_Obool, _u18152), c_HOL_OAll(_u18153)), hAPP(hAPP(c_COMBB(tc_fun(_u18153, tc_HOL_Obool), tc_fun(_u18153, tc_HOL_Obool), _u18152), hAPP(c_COMBS(_u18153, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u18153), c_fimplies), hAPP(hAPP(c_COMBC(_u18153, tc_fun(_u18153, tc_HOL_Obool), tc_HOL_Obool), c_member(_u18153)), _u18154)))), _u18155))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18153, tc_fun(_u18152, tc_HOL_Obool)), _u18154), hAPP(hAPP(c_COMBB(tc_fun(_u18152, tc_HOL_Obool), tc_fun(_u18152, tc_HOL_Obool), _u18153), c_Set_OCollect(_u18152)), hAPP(c_COMBC(_u18152, _u18153, tc_HOL_Obool), _u18155)))) )).
% 39.92/40.16 cnf(matrix-7406, plain, ( ( c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18156, tc_HOL_Obool) = c_Set_OBall(_u18156)) )).
% 39.92/40.16 cnf(matrix-7407, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18163, tc_fun(_u18165, tc_fun(_u18167, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u18163, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u18165, _u18167), tc_HOL_Obool), tc_fun(_u18165, tc_fun(_u18167, tc_HOL_Obool)), _u18163), hAPP(c_COMBC(_u18165, tc_fun(tc_prod(_u18165, _u18167), tc_HOL_Obool), tc_fun(_u18167, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18167, tc_fun(tc_fun(tc_prod(_u18165, _u18167), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u18165, _u18167), tc_HOL_Obool), tc_fun(_u18167, tc_HOL_Obool)), _u18165), c_COMBC(_u18167, tc_fun(tc_prod(_u18165, _u18167), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18167, tc_prod(_u18165, _u18167)), tc_fun(_u18167, tc_fun(tc_fun(tc_prod(_u18165, _u18167), tc_HOL_Obool), tc_HOL_Obool)), _u18165), hAPP(c_COMBB(tc_prod(_u18165, _u18167), tc_fun(tc_fun(tc_prod(_u18165, _u18167), tc_HOL_Obool), tc_HOL_Obool), _u18167), c_member(tc_prod(_u18165, _u18167)))), c_Product__Type_OPair(_u18165, _u18167))))), _u18169)), _u18171), _u18173)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18165, _u18167)), hAPP(hAPP(c_Product__Type_OPair(_u18165, _u18167), _u18171), _u18173)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18163, tc_fun(tc_prod(_u18165, _u18167), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u18163, tc_HOL_Obool))), _u18169))) )).
% 39.92/40.16 cnf(matrix-7408, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18166, _u18168)), hAPP(hAPP(c_Product__Type_OPair(_u18166, _u18168), _u18172), _u18174)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18164, tc_fun(tc_prod(_u18166, _u18168), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u18164, tc_HOL_Obool))), _u18170))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18164, tc_fun(_u18166, tc_fun(_u18168, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u18164, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u18166, _u18168), tc_HOL_Obool), tc_fun(_u18166, tc_fun(_u18168, tc_HOL_Obool)), _u18164), hAPP(c_COMBC(_u18166, tc_fun(tc_prod(_u18166, _u18168), tc_HOL_Obool), tc_fun(_u18168, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18168, tc_fun(tc_fun(tc_prod(_u18166, _u18168), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u18166, _u18168), tc_HOL_Obool), tc_fun(_u18168, tc_HOL_Obool)), _u18166), c_COMBC(_u18168, tc_fun(tc_prod(_u18166, _u18168), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18168, tc_prod(_u18166, _u18168)), tc_fun(_u18168, tc_fun(tc_fun(tc_prod(_u18166, _u18168), tc_HOL_Obool), tc_HOL_Obool)), _u18166), hAPP(c_COMBB(tc_prod(_u18166, _u18168), tc_fun(tc_fun(tc_prod(_u18166, _u18168), tc_HOL_Obool), tc_HOL_Obool), _u18168), c_member(tc_prod(_u18166, _u18168)))), c_Product__Type_OPair(_u18166, _u18168))))), _u18170)), _u18172), _u18174)) )).
% 39.92/40.16 cnf(matrix-7409, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u18177) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18177), _u18178), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18179, _u18177), _u18180), _u18181))) | ~hBOOL(hAPP(hAPP(c_member(_u18179), _u18175), _u18180)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18177), _u18178), hAPP(_u18181, _u18175))) )).
% 39.92/40.16 cnf(matrix-7410, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u18177) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18177), _u18178), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18179, _u18177), _u18180), _u18181))) | hBOOL(hAPP(hAPP(c_member(_u18179), skolem422(_u18181, _u18180, _u18179, _u18178, _u18177)), _u18180)) )).
% 39.92/40.16 cnf(matrix-7411, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u18177) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18177), _u18178), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18179, _u18177), _u18180), _u18181))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18177), _u18178), hAPP(_u18181, skolem422(_u18181, _u18180, _u18179, _u18178, _u18177)))) )).
% 39.92/40.16 cnf(matrix-7412, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18189, tc_HOL_Obool)), _u18191), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18193, tc_fun(_u18189, tc_HOL_Obool)), _u18195), _u18197))) | ~hBOOL(hAPP(hAPP(c_member(_u18193), _u18182), _u18195)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18189, tc_HOL_Obool)), _u18191), hAPP(_u18197, _u18182))) )).
% 39.92/40.16 cnf(matrix-7413, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18190, tc_HOL_Obool)), _u18192), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18194, tc_fun(_u18190, tc_HOL_Obool)), _u18196), _u18198))) | hBOOL(hAPP(hAPP(c_member(_u18194), skolem423(_u18198, _u18196, _u18194, _u18192, _u18190)), _u18196)) )).
% 39.92/40.16 cnf(matrix-7414, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18190, tc_HOL_Obool)), _u18192), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18194, tc_fun(_u18190, tc_HOL_Obool)), _u18196), _u18198))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18190, tc_HOL_Obool)), _u18192), hAPP(_u18198, skolem423(_u18198, _u18196, _u18194, _u18192, _u18190)))) )).
% 39.92/40.16 cnf(matrix-7415, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18199), _u18200), _u18201)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18202, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18199, tc_fun(_u18202, tc_HOL_Obool)), _u18201), _u18203)), hAPP(_u18203, _u18200))) )).
% 39.92/40.16 cnf(matrix-7416, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18204, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u18205, _u18204, _u18206), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18207, tc_fun(_u18205, tc_HOL_Obool)), _u18208), _u18209))), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18207, tc_fun(_u18204, tc_HOL_Obool)), _u18208), hAPP(hAPP(c_COMBB(tc_fun(_u18205, tc_HOL_Obool), tc_fun(_u18204, tc_HOL_Obool), _u18207), c_Relation_OImage(_u18205, _u18204, _u18206)), _u18209)))) )).
% 39.92/40.16 cnf(matrix-7417, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u18210) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18211, _u18210), _u18212), hAPP(hAPP(c_COMBB(tc_fun(_u18213, _u18210), _u18210, _u18211), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18213, _u18210), _u18214)), _u18215)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18213, _u18210), _u18214), hAPP(hAPP(c_COMBB(tc_fun(_u18211, _u18210), _u18210, _u18213), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18211, _u18210), _u18212)), hAPP(c_COMBC(_u18211, _u18213, _u18210), _u18215)))) )).
% 39.92/40.16 cnf(matrix-7418, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u18216) | ( hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18217, tc_fun(_u18218, _u18216)), _u18219), _u18220), _u18221) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18217, _u18216), _u18219), hAPP(hAPP(c_COMBC(_u18217, _u18218, _u18216), _u18220), _u18221))) )).
% 39.92/40.16 cnf(matrix-7419, plain, ( ( hAPP(c_Set_OPow(_u18222), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18223, tc_fun(_u18222, tc_HOL_Obool)), _u18224), _u18225)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18223, tc_fun(tc_fun(_u18222, tc_HOL_Obool), tc_HOL_Obool)), _u18224), hAPP(hAPP(c_COMBB(tc_fun(_u18222, tc_HOL_Obool), tc_fun(tc_fun(_u18222, tc_HOL_Obool), tc_HOL_Obool), _u18223), c_Set_OPow(_u18222)), _u18225))) )).
% 39.92/40.16 cnf(matrix-7420, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18226, tc_fun(_u18227, tc_HOL_Obool)), _u18228), hAPP(hAPP(c_COMBB(tc_fun(_u18227, tc_HOL_Obool), tc_fun(_u18227, tc_HOL_Obool), _u18226), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u18227, tc_HOL_Obool)), _u18229)), _u18230)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u18227, tc_HOL_Obool)), _u18229), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18226, tc_fun(_u18227, tc_HOL_Obool)), _u18228), _u18230))) )).
% 39.92/40.16 cnf(matrix-7421, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18231, tc_fun(_u18232, tc_HOL_Obool)), _u18233), hAPP(hAPP(c_COMBC(_u18231, tc_fun(_u18232, tc_HOL_Obool), tc_fun(_u18232, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18232, tc_HOL_Obool), tc_fun(tc_fun(_u18232, tc_HOL_Obool), tc_fun(_u18232, tc_HOL_Obool)), _u18231), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u18232, tc_HOL_Obool))), _u18234)), _u18235)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u18232, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18231, tc_fun(_u18232, tc_HOL_Obool)), _u18233), _u18234)), _u18235)) )).
% 39.92/40.16 cnf(matrix-7422, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u18236, tc_HOL_Obool)), _u18237), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18238, tc_fun(_u18236, tc_HOL_Obool)), _u18239), _u18240)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18238, tc_fun(_u18236, tc_HOL_Obool)), _u18239), hAPP(hAPP(c_COMBB(tc_fun(_u18236, tc_HOL_Obool), tc_fun(_u18236, tc_HOL_Obool), _u18238), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u18236, tc_HOL_Obool)), _u18237)), _u18240))) )).
% 39.92/40.16 cnf(matrix-7423, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u18241, tc_HOL_Obool)), _u18242), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18243, tc_fun(_u18241, tc_HOL_Obool)), _u18244), _u18245)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18243, tc_fun(_u18241, tc_HOL_Obool)), _u18244), hAPP(hAPP(c_COMBB(tc_fun(_u18241, tc_HOL_Obool), tc_fun(_u18241, tc_HOL_Obool), _u18243), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u18241, tc_HOL_Obool)), _u18242)), _u18245))) )).
% 39.92/40.16 cnf(matrix-7424, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u18246, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18247, tc_fun(_u18246, tc_HOL_Obool)), _u18248), _u18249)), _u18250) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18247, tc_fun(_u18246, tc_HOL_Obool)), _u18248), hAPP(hAPP(c_COMBC(_u18247, tc_fun(_u18246, tc_HOL_Obool), tc_fun(_u18246, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18246, tc_HOL_Obool), tc_fun(tc_fun(_u18246, tc_HOL_Obool), tc_fun(_u18246, tc_HOL_Obool)), _u18247), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u18246, tc_HOL_Obool))), _u18249)), _u18250))) )).
% 39.92/40.16 cnf(matrix-7425, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u18251, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18252, tc_fun(_u18251, tc_HOL_Obool)), _u18253), _u18254)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18255, tc_fun(_u18251, tc_HOL_Obool)), _u18256), _u18257)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18252, tc_fun(_u18251, tc_HOL_Obool)), _u18253), hAPP(hAPP(c_COMBB(tc_fun(_u18255, tc_fun(_u18251, tc_HOL_Obool)), tc_fun(_u18251, tc_HOL_Obool), _u18252), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18255, tc_fun(_u18251, tc_HOL_Obool)), _u18256)), hAPP(hAPP(c_COMBC(_u18252, tc_fun(_u18255, tc_fun(_u18251, tc_HOL_Obool)), tc_fun(_u18255, tc_fun(_u18251, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u18251, tc_HOL_Obool), tc_fun(_u18251, tc_HOL_Obool)), tc_fun(tc_fun(_u18255, tc_fun(_u18251, tc_HOL_Obool)), tc_fun(_u18255, tc_fun(_u18251, tc_HOL_Obool))), _u18252), c_COMBB(tc_fun(_u18251, tc_HOL_Obool), tc_fun(_u18251, tc_HOL_Obool), _u18255)), hAPP(hAPP(c_COMBB(tc_fun(_u18251, tc_HOL_Obool), tc_fun(tc_fun(_u18251, tc_HOL_Obool), tc_fun(_u18251, tc_HOL_Obool)), _u18252), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u18251, tc_HOL_Obool))), _u18254))), _u18257)))) )).
% 39.92/40.16 cnf(matrix-7426, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u18260) | ~class_Orderings_Olinorder(_u18260) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u18260), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18261, _u18260), _u18262), _u18263)), _u18264)) | hBOOL(hAPP(hAPP(c_member(_u18261), skolem424(_u18264, _u18263, _u18262, _u18261, _u18260)), _u18262)) )).
% 39.92/40.16 cnf(matrix-7427, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u18260) | ~class_Orderings_Olinorder(_u18260) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u18260), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18261, _u18260), _u18262), _u18263)), _u18264)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u18260), hAPP(_u18263, skolem424(_u18264, _u18263, _u18262, _u18261, _u18260))), _u18264)) )).
% 39.92/40.16 cnf(matrix-7428, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u18260) | ~class_Orderings_Olinorder(_u18260) | ~hBOOL(hAPP(hAPP(c_member(_u18261), _u18259), _u18262)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u18260), hAPP(_u18263, _u18259)), _u18264)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u18260), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18261, _u18260), _u18262), _u18263)), _u18264)) )).
% 39.92/40.16 cnf(matrix-7429, plain, ( ( hAPP(c_Set_Ovimage(_u18265, _u18266, _u18267), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18268, tc_fun(_u18266, tc_HOL_Obool)), _u18269), _u18270)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18268, tc_fun(_u18265, tc_HOL_Obool)), _u18269), hAPP(hAPP(c_COMBB(tc_fun(_u18266, tc_HOL_Obool), tc_fun(_u18265, tc_HOL_Obool), _u18268), c_Set_Ovimage(_u18265, _u18266, _u18267)), _u18270))) )).
% 39.92/40.16 cnf(matrix-7430, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18277, tc_fun(_u18279, tc_HOL_Obool)), _u18281), _u18283) != c_Orderings_Otop__class_Otop(tc_fun(_u18279, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u18277), _u18271), _u18281)) | ( hAPP(_u18283, _u18271) = c_Orderings_Otop__class_Otop(tc_fun(_u18279, tc_HOL_Obool))) )).
% 39.92/40.16 cnf(matrix-7431, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18278, tc_fun(_u18280, tc_HOL_Obool)), _u18282), _u18284) = c_Orderings_Otop__class_Otop(tc_fun(_u18280, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u18278), skolem425(_u18284, _u18282, _u18280, _u18278)), _u18282)) )).
% 39.92/40.16 cnf(matrix-7432, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18278, tc_fun(_u18280, tc_HOL_Obool)), _u18282), _u18284) = c_Orderings_Otop__class_Otop(tc_fun(_u18280, tc_HOL_Obool))) | ( hAPP(_u18284, skolem425(_u18284, _u18282, _u18280, _u18278)) != c_Orderings_Otop__class_Otop(tc_fun(_u18280, tc_HOL_Obool))) )).
% 39.92/40.16 cnf(matrix-7433, plain, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u18291, tc_HOL_Obool)) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18293, tc_fun(_u18291, tc_HOL_Obool)), _u18295), _u18297)) | ~hBOOL(hAPP(hAPP(c_member(_u18293), _u18285), _u18295)) | ( hAPP(_u18297, _u18285) = c_Orderings_Otop__class_Otop(tc_fun(_u18291, tc_HOL_Obool))) )).
% 39.92/40.16 cnf(matrix-7434, plain, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u18292, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18294, tc_fun(_u18292, tc_HOL_Obool)), _u18296), _u18298)) | hBOOL(hAPP(hAPP(c_member(_u18294), skolem426(_u18298, _u18296, _u18294, _u18292)), _u18296)) )).
% 39.92/40.16 cnf(matrix-7435, plain, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u18292, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18294, tc_fun(_u18292, tc_HOL_Obool)), _u18296), _u18298)) | ( hAPP(_u18298, skolem426(_u18298, _u18296, _u18294, _u18292)) != c_Orderings_Otop__class_Otop(tc_fun(_u18292, tc_HOL_Obool))) )).
% 39.92/40.16 cnf(matrix-7436, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18299, tc_fun(_u18300, tc_HOL_Obool)), _u18301), hAPP(hAPP(c_COMBS(_u18299, tc_fun(_u18300, tc_HOL_Obool), tc_fun(_u18300, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18300, tc_HOL_Obool), tc_fun(tc_fun(_u18300, tc_HOL_Obool), tc_fun(_u18300, tc_HOL_Obool)), _u18299), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18300, tc_HOL_Obool))), _u18302)), _u18303)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18300, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18299, tc_fun(_u18300, tc_HOL_Obool)), _u18301), _u18302)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18299, tc_fun(_u18300, tc_HOL_Obool)), _u18301), _u18303))) )).
% 39.92/40.16 cnf(matrix-7437, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18304, tc_fun(_u18305, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u18304, tc_HOL_Obool)), _u18306), _u18307)), _u18308) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18305, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18304, tc_fun(_u18305, tc_HOL_Obool)), _u18306), _u18308)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18304, tc_fun(_u18305, tc_HOL_Obool)), _u18307), _u18308))) )).
% 39.92/40.16 cnf(matrix-7438, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18316), _u18318), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18320, tc_fun(_u18316, tc_HOL_Obool)), _u18322), _u18324))) | ~hBOOL(hAPP(hAPP(c_member(_u18320), _u18309), _u18322)) | hBOOL(hAPP(hAPP(c_member(_u18316), _u18318), hAPP(_u18324, _u18309))) )).
% 39.92/40.16 cnf(matrix-7439, plain, ( hBOOL(hAPP(hAPP(c_member(_u18317), _u18319), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18321, tc_fun(_u18317, tc_HOL_Obool)), _u18323), _u18325))) | hBOOL(hAPP(hAPP(c_member(_u18321), skolem427(_u18325, _u18323, _u18321, _u18319, _u18317)), _u18323)) )).
% 39.92/40.16 cnf(matrix-7440, plain, ( hBOOL(hAPP(hAPP(c_member(_u18317), _u18319), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18321, tc_fun(_u18317, tc_HOL_Obool)), _u18323), _u18325))) | ~hBOOL(hAPP(hAPP(c_member(_u18317), _u18319), hAPP(_u18325, skolem427(_u18325, _u18323, _u18321, _u18319, _u18317)))) )).
% 39.92/40.16 cnf(matrix-7441, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18326), _u18327), _u18328)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18329, tc_HOL_Obool)), hAPP(_u18330, _u18327)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18326, tc_fun(_u18329, tc_HOL_Obool)), _u18328), _u18330)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18326, tc_fun(_u18329, tc_HOL_Obool)), _u18328), _u18330)) )).
% 39.92/40.16 cnf(matrix-7442, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18335, tc_fun(_u18337, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u18335, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u18337, tc_HOL_Obool), tc_fun(_u18337, tc_HOL_Obool), _u18335), hAPP(c_COMBC(_u18337, tc_fun(_u18337, tc_HOL_Obool), tc_HOL_Obool), c_member(_u18337))), _u18339)), _u18341)) | hBOOL(hAPP(hAPP(c_member(_u18337), _u18341), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18335, tc_fun(_u18337, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u18335, tc_HOL_Obool))), _u18339))) )).
% 39.92/40.16 cnf(matrix-7443, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18338), _u18342), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18336, tc_fun(_u18338, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u18336, tc_HOL_Obool))), _u18340))) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18336, tc_fun(_u18338, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u18336, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u18338, tc_HOL_Obool), tc_fun(_u18338, tc_HOL_Obool), _u18336), hAPP(c_COMBC(_u18338, tc_fun(_u18338, tc_HOL_Obool), tc_HOL_Obool), c_member(_u18338))), _u18340)), _u18342)) )).
% 39.92/40.16 cnf(matrix-7444, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18343), _u18344), _u18345)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18343, tc_fun(_u18346, tc_HOL_Obool)), _u18345), hAPP(hAPP(c_COMBB(tc_fun(_u18346, tc_HOL_Obool), tc_fun(_u18346, tc_HOL_Obool), _u18343), hAPP(c_Set_Oinsert(_u18346), _u18347)), _u18348)) = hAPP(hAPP(c_Set_Oinsert(_u18346), _u18347), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18343, tc_fun(_u18346, tc_HOL_Obool)), _u18345), _u18348))) )).
% 39.92/40.16 cnf(matrix-7445, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18349, tc_fun(_u18350, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u18349), _u18351), _u18352)), _u18353) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18350, tc_HOL_Obool)), hAPP(_u18353, _u18351)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18349, tc_fun(_u18350, tc_HOL_Obool)), _u18352), _u18353))) )).
% 39.92/40.16 cnf(matrix-7446, plain, ( ( _u18359 != c_Orderings_Obot__class_Obot(tc_fun(_u18361, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18363, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18361, tc_fun(_u18363, tc_HOL_Obool)), _u18359), _u18365)), _u18367) = _u18367) )).
% 39.92/40.16 cnf(matrix-7447, plain, ( ( _u18360 = c_Orderings_Obot__class_Obot(tc_fun(_u18362, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18364, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18362, tc_fun(_u18364, tc_HOL_Obool)), _u18360), _u18366)), _u18368) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18362, tc_fun(_u18364, tc_HOL_Obool)), _u18360), hAPP(hAPP(c_COMBC(_u18362, tc_fun(_u18364, tc_HOL_Obool), tc_fun(_u18364, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18364, tc_HOL_Obool), tc_fun(tc_fun(_u18364, tc_HOL_Obool), tc_fun(_u18364, tc_HOL_Obool)), _u18362), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18364, tc_HOL_Obool))), _u18366)), _u18368))) )).
% 39.92/40.16 cnf(matrix-7448, plain, ( ( _u18374 != c_Orderings_Obot__class_Obot(tc_fun(_u18376, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18378, tc_HOL_Obool)), _u18380), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18376, tc_fun(_u18378, tc_HOL_Obool)), _u18374), _u18382)) = _u18380) )).
% 39.92/40.16 cnf(matrix-7449, plain, ( ( _u18375 = c_Orderings_Obot__class_Obot(tc_fun(_u18377, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18379, tc_HOL_Obool)), _u18381), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18377, tc_fun(_u18379, tc_HOL_Obool)), _u18375), _u18383)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18377, tc_fun(_u18379, tc_HOL_Obool)), _u18375), hAPP(hAPP(c_COMBB(tc_fun(_u18379, tc_HOL_Obool), tc_fun(_u18379, tc_HOL_Obool), _u18377), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18379, tc_HOL_Obool)), _u18381)), _u18383))) )).
% 39.92/40.16 cnf(matrix-7450, plain, ( ( _u18388 != c_Orderings_Obot__class_Obot(tc_fun(_u18390, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18390, tc_fun(_u18392, tc_HOL_Obool)), _u18388), hAPP(c_COMBK(tc_fun(_u18392, tc_HOL_Obool), _u18390), _u18394)) = c_Orderings_Otop__class_Otop(tc_fun(_u18392, tc_HOL_Obool))) )).
% 39.92/40.16 cnf(matrix-7451, plain, ( ( _u18389 = c_Orderings_Obot__class_Obot(tc_fun(_u18391, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18391, tc_fun(_u18393, tc_HOL_Obool)), _u18389), hAPP(c_COMBK(tc_fun(_u18393, tc_HOL_Obool), _u18391), _u18395)) = _u18395) )).
% 39.92/40.16 cnf(matrix-7452, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18396, tc_fun(_u18397, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u18396, tc_HOL_Obool))), _u18398) = c_Orderings_Otop__class_Otop(tc_fun(_u18397, tc_HOL_Obool))) )).
% 39.92/40.16 cnf(matrix-7453, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u18399) | ( _u18400 = c_Orderings_Obot__class_Obot(tc_fun(_u18401, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18401, _u18399), _u18400), hAPP(c_COMBK(_u18399, _u18401), _u18402)) = _u18402) )).
% 39.92/40.16 cnf(matrix-7454, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18403, tc_fun(_u18404, tc_HOL_Obool)), _u18405), hAPP(hAPP(c_COMBB(tc_fun(_u18404, tc_HOL_Obool), tc_fun(_u18404, tc_HOL_Obool), _u18403), hAPP(c_Set_Oinsert(_u18404), _u18406)), _u18407)) = hAPP(hAPP(c_Set_Oinsert(_u18404), _u18406), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18403, tc_fun(_u18404, tc_HOL_Obool)), _u18405), _u18407))) )).
% 39.92/40.16 cnf(matrix-7455, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u18408), _u18409), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18410, tc_fun(_u18408, tc_HOL_Obool)), _u18411), _u18412)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18410, tc_fun(_u18408, tc_HOL_Obool)), _u18411), hAPP(hAPP(c_COMBB(tc_fun(_u18408, tc_HOL_Obool), tc_fun(_u18408, tc_HOL_Obool), _u18410), hAPP(c_Set_Oinsert(_u18408), _u18409)), _u18412))) )).
% 39.92/40.16 cnf(matrix-7456, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u18413, tc_HOL_Obool), tc_fun(_u18414, tc_HOL_Obool)), _u18415), hAPP(hAPP(c_COMBC(tc_fun(_u18413, tc_HOL_Obool), tc_fun(_u18413, tc_fun(_u18414, tc_HOL_Obool)), tc_fun(_u18414, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18413, tc_fun(_u18414, tc_HOL_Obool))), _u18416)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18413, tc_fun(_u18414, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u18413, tc_HOL_Obool), _u18415)), _u18416)) )).
% 39.92/40.16 cnf(matrix-7457, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18417, tc_fun(_u18418, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u18417, tc_HOL_Obool), _u18419)), _u18420) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u18417, tc_HOL_Obool), tc_fun(_u18418, tc_HOL_Obool)), _u18419), hAPP(hAPP(c_COMBC(tc_fun(_u18417, tc_HOL_Obool), tc_fun(_u18417, tc_fun(_u18418, tc_HOL_Obool)), tc_fun(_u18418, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18417, tc_fun(_u18418, tc_HOL_Obool))), _u18420))) )).
% 39.92/40.16 cnf(matrix-7458, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18421, tc_fun(_u18422, tc_HOL_Obool)), _u18423), hAPP(hAPP(c_COMBB(_u18424, tc_fun(_u18422, tc_HOL_Obool), _u18421), _u18425), _u18426)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18424, tc_fun(_u18422, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u18421, _u18424, _u18426), _u18423)), _u18425)) )).
% 39.92/40.16 cnf(matrix-7459, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18427, tc_fun(_u18428, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u18429, _u18427, _u18430), _u18431)), _u18432) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18429, tc_fun(_u18428, tc_HOL_Obool)), _u18431), hAPP(hAPP(c_COMBB(_u18427, tc_fun(_u18428, tc_HOL_Obool), _u18429), _u18432), _u18430))) )).
% 39.92/40.16 cnf(matrix-7460, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18433, tc_fun(_u18434, tc_HOL_Obool)), _u18435), _u18436) = hAPP(c_Set_OCollect(_u18434), hAPP(hAPP(c_COMBB(tc_fun(_u18433, tc_HOL_Obool), tc_HOL_Obool, _u18434), c_HOL_OAll(_u18433)), hAPP(hAPP(c_COMBB(tc_fun(_u18433, tc_HOL_Obool), tc_fun(_u18433, tc_HOL_Obool), _u18434), hAPP(c_COMBS(_u18433, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u18433), c_fimplies), hAPP(hAPP(c_COMBC(_u18433, tc_fun(_u18433, tc_HOL_Obool), tc_HOL_Obool), c_member(_u18433)), _u18435)))), hAPP(hAPP(c_COMBC(_u18434, tc_fun(_u18433, tc_fun(_u18434, tc_HOL_Obool)), tc_fun(_u18433, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u18434, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u18433, tc_fun(_u18434, tc_HOL_Obool)), tc_fun(_u18433, tc_HOL_Obool)), _u18434), c_COMBB(tc_fun(_u18434, tc_HOL_Obool), tc_HOL_Obool, _u18433)), c_member(_u18434))), _u18436))))) )).
% 39.92/40.16 cnf(matrix-7461, plain, ( ( _u18442 != c_Orderings_Obot__class_Obot(tc_fun(_u18444, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18444, tc_fun(_u18446, tc_HOL_Obool)), _u18442), hAPP(hAPP(c_COMBB(tc_fun(_u18446, tc_HOL_Obool), tc_fun(_u18446, tc_HOL_Obool), _u18444), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18446, tc_HOL_Obool)), _u18448)), _u18450)) = c_Orderings_Otop__class_Otop(tc_fun(_u18446, tc_HOL_Obool))) )).
% 39.92/40.16 cnf(matrix-7462, plain, ( ( _u18443 = c_Orderings_Obot__class_Obot(tc_fun(_u18445, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18445, tc_fun(_u18447, tc_HOL_Obool)), _u18443), hAPP(hAPP(c_COMBB(tc_fun(_u18447, tc_HOL_Obool), tc_fun(_u18447, tc_HOL_Obool), _u18445), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18447, tc_HOL_Obool)), _u18449)), _u18451)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18447, tc_HOL_Obool)), _u18449), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18445, tc_fun(_u18447, tc_HOL_Obool)), _u18443), _u18451))) )).
% 39.92/40.16 cnf(matrix-7463, plain, ( ( _u18457 != c_Orderings_Obot__class_Obot(tc_fun(_u18459, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18459, tc_fun(_u18461, tc_HOL_Obool)), _u18457), hAPP(hAPP(c_COMBC(_u18459, tc_fun(_u18461, tc_HOL_Obool), tc_fun(_u18461, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18461, tc_HOL_Obool), tc_fun(tc_fun(_u18461, tc_HOL_Obool), tc_fun(_u18461, tc_HOL_Obool)), _u18459), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18461, tc_HOL_Obool))), _u18463)), _u18465)) = c_Orderings_Otop__class_Otop(tc_fun(_u18461, tc_HOL_Obool))) )).
% 39.92/40.16 cnf(matrix-7464, plain, ( ( _u18458 = c_Orderings_Obot__class_Obot(tc_fun(_u18460, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18460, tc_fun(_u18462, tc_HOL_Obool)), _u18458), hAPP(hAPP(c_COMBC(_u18460, tc_fun(_u18462, tc_HOL_Obool), tc_fun(_u18462, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18462, tc_HOL_Obool), tc_fun(tc_fun(_u18462, tc_HOL_Obool), tc_fun(_u18462, tc_HOL_Obool)), _u18460), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18462, tc_HOL_Obool))), _u18464)), _u18466)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18462, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18460, tc_fun(_u18462, tc_HOL_Obool)), _u18458), _u18464)), _u18466)) )).
% 39.92/40.16 cnf(matrix-7465, plain, ( ( _u18472 != c_Orderings_Obot__class_Obot(tc_fun(_u18474, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18474, tc_fun(_u18476, tc_HOL_Obool)), _u18472), hAPP(hAPP(c_COMBC(_u18474, tc_fun(_u18476, tc_HOL_Obool), tc_fun(_u18476, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18476, tc_HOL_Obool), tc_fun(tc_fun(_u18476, tc_HOL_Obool), tc_fun(_u18476, tc_HOL_Obool)), _u18474), c_Groups_Ominus__class_Ominus(tc_fun(_u18476, tc_HOL_Obool))), _u18478)), _u18480)) = c_Orderings_Otop__class_Otop(tc_fun(_u18476, tc_HOL_Obool))) )).
% 39.92/40.16 cnf(matrix-7466, plain, ( ( _u18473 = c_Orderings_Obot__class_Obot(tc_fun(_u18475, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18475, tc_fun(_u18477, tc_HOL_Obool)), _u18473), hAPP(hAPP(c_COMBC(_u18475, tc_fun(_u18477, tc_HOL_Obool), tc_fun(_u18477, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18477, tc_HOL_Obool), tc_fun(tc_fun(_u18477, tc_HOL_Obool), tc_fun(_u18477, tc_HOL_Obool)), _u18475), c_Groups_Ominus__class_Ominus(tc_fun(_u18477, tc_HOL_Obool))), _u18479)), _u18481)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u18477, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18475, tc_fun(_u18477, tc_HOL_Obool)), _u18473), _u18479)), _u18481)) )).
% 39.92/40.16 cnf(matrix-7467, plain, ( ( _u18487 != c_Orderings_Obot__class_Obot(tc_fun(_u18489, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u18491, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18489, tc_fun(_u18491, tc_HOL_Obool)), _u18487), _u18493)), _u18495) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u18491, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u18491, tc_HOL_Obool))), _u18495)) )).
% 39.92/40.16 cnf(matrix-7468, plain, ( ( _u18488 = c_Orderings_Obot__class_Obot(tc_fun(_u18490, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u18492, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18490, tc_fun(_u18492, tc_HOL_Obool)), _u18488), _u18494)), _u18496) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18490, tc_fun(_u18492, tc_HOL_Obool)), _u18488), hAPP(hAPP(c_COMBC(_u18490, tc_fun(_u18492, tc_HOL_Obool), tc_fun(_u18492, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18492, tc_HOL_Obool), tc_fun(tc_fun(_u18492, tc_HOL_Obool), tc_fun(_u18492, tc_HOL_Obool)), _u18490), c_Groups_Ominus__class_Ominus(tc_fun(_u18492, tc_HOL_Obool))), _u18494)), _u18496))) )).
% 39.92/40.16 cnf(matrix-7469, plain, ( ( _u18502 != c_Orderings_Obot__class_Obot(tc_fun(_u18504, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u18506, tc_HOL_Obool)), _u18508), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u18504, tc_fun(_u18506, tc_HOL_Obool)), _u18502), _u18510)) = _u18508) )).
% 39.92/40.16 cnf(matrix-7470, plain, ( ( _u18503 = c_Orderings_Obot__class_Obot(tc_fun(_u18505, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u18507, tc_HOL_Obool)), _u18509), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u18505, tc_fun(_u18507, tc_HOL_Obool)), _u18503), _u18511)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18505, tc_fun(_u18507, tc_HOL_Obool)), _u18503), hAPP(hAPP(c_COMBB(tc_fun(_u18507, tc_HOL_Obool), tc_fun(_u18507, tc_HOL_Obool), _u18505), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u18507, tc_HOL_Obool)), _u18509)), _u18511))) )).
% 39.92/40.16 cnf(matrix-7471, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u18512) | ~hBOOL(hAPP(hAPP(c_member(_u18513), _u18514), _u18515)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18512), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18513, _u18512), _u18515), _u18516)), hAPP(_u18516, _u18514))) )).
% 39.92/40.16 cnf(matrix-7472, 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))) )).
% 39.92/40.16 cnf(matrix-7473, plain, ( ( _u18522 != c_Orderings_Obot__class_Obot(tc_fun(_u18524, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18524, tc_fun(_u18526, tc_HOL_Obool)), _u18522), hAPP(hAPP(c_COMBB(tc_fun(_u18526, tc_HOL_Obool), tc_fun(_u18526, tc_HOL_Obool), _u18524), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u18526, tc_HOL_Obool)), _u18528)), _u18530)) = c_Orderings_Otop__class_Otop(tc_fun(_u18526, tc_HOL_Obool))) )).
% 39.92/40.16 cnf(matrix-7474, plain, ( ( _u18523 = c_Orderings_Obot__class_Obot(tc_fun(_u18525, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18525, tc_fun(_u18527, tc_HOL_Obool)), _u18523), hAPP(hAPP(c_COMBB(tc_fun(_u18527, tc_HOL_Obool), tc_fun(_u18527, tc_HOL_Obool), _u18525), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u18527, tc_HOL_Obool)), _u18529)), _u18531)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u18527, tc_HOL_Obool)), _u18529), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u18525, tc_fun(_u18527, tc_HOL_Obool)), _u18523), _u18531))) )).
% 39.92/40.16 cnf(matrix-7475, plain, ( ( c_List_Olistsp(_u18532, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18532, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u18532, tc_fun(_u18532, tc_HOL_Obool), tc_HOL_Obool), c_member(_u18532)), _u18533)), hAPP(hAPP(c_COMBC(_u18532, tc_fun(_u18532, tc_HOL_Obool), tc_HOL_Obool), c_member(_u18532)), _u18534))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(_u18532), tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18532), tc_fun(tc_List_Olist(_u18532), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_List_Olist(_u18532))), c_List_Olists(_u18532, _u18533))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18532), tc_fun(tc_List_Olist(_u18532), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_List_Olist(_u18532))), c_List_Olists(_u18532, _u18534)))) )).
% 39.92/40.16 cnf(matrix-7476, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18535)), _u18536), c_List_Olists(_u18535, _u18537))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18535)), _u18536), c_List_Olists(_u18535, _u18538))) | hBOOL(hAPP(c_List_Olistsp(_u18535, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18535, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u18535, tc_fun(_u18535, tc_HOL_Obool), tc_HOL_Obool), c_member(_u18535)), _u18537)), hAPP(hAPP(c_COMBC(_u18535, tc_fun(_u18535, tc_HOL_Obool), tc_HOL_Obool), c_member(_u18535)), _u18538))), _u18536)) )).
% 39.92/40.16 cnf(matrix-7477, plain, ( hBOOL(hAPP(c_List_Olistsp(_u18539, _u18540), c_List_Olist_ONil(_u18539))) )).
% 39.92/40.16 cnf(matrix-7478, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18550, tc_fun(_u18552, tc_fun(_u18554, tc_HOL_Obool))), _u18556), _u18558), _u18560), _u18562)) | ~hBOOL(hAPP(hAPP(c_member(_u18550), _u18541), _u18556)) | hBOOL(hAPP(hAPP(hAPP(_u18558, _u18541), _u18560), _u18562)) )).
% 39.92/40.16 cnf(matrix-7479, plain, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18551, tc_fun(_u18553, tc_fun(_u18555, tc_HOL_Obool))), _u18557), _u18559), _u18561), _u18563)) | hBOOL(hAPP(hAPP(c_member(_u18551), skolem428(_u18563, _u18561, _u18559, _u18557, _u18555, _u18553, _u18551)), _u18557)) )).
% 39.92/40.16 cnf(matrix-7480, plain, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18551, tc_fun(_u18553, tc_fun(_u18555, tc_HOL_Obool))), _u18557), _u18559), _u18561), _u18563)) | ~hBOOL(hAPP(hAPP(hAPP(_u18559, skolem428(_u18563, _u18561, _u18559, _u18557, _u18555, _u18553, _u18551)), _u18561), _u18563)) )).
% 39.92/40.16 cnf(matrix-7481, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18571, tc_fun(_u18573, tc_HOL_Obool)), _u18575), _u18577), _u18579)) | ~hBOOL(hAPP(hAPP(c_member(_u18571), _u18564), _u18575)) | hBOOL(hAPP(hAPP(_u18577, _u18564), _u18579)) )).
% 39.92/40.16 cnf(matrix-7482, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18572, tc_fun(_u18574, tc_HOL_Obool)), _u18576), _u18578), _u18580)) | hBOOL(hAPP(hAPP(c_member(_u18572), skolem429(_u18580, _u18578, _u18576, _u18574, _u18572)), _u18576)) )).
% 39.92/40.16 cnf(matrix-7483, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18572, tc_fun(_u18574, tc_HOL_Obool)), _u18576), _u18578), _u18580)) | ~hBOOL(hAPP(hAPP(_u18578, skolem429(_u18580, _u18578, _u18576, _u18574, _u18572)), _u18580)) )).
% 39.92/40.16 cnf(matrix-7484, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u18585, _u18587), hAPP(hAPP(c_List_Oappend(_u18585), _u18589), _u18591))) | hBOOL(hAPP(c_List_Olistsp(_u18585, _u18587), _u18589)) )).
% 39.92/40.16 cnf(matrix-7485, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u18585, _u18587), hAPP(hAPP(c_List_Oappend(_u18585), _u18589), _u18591))) | hBOOL(hAPP(c_List_Olistsp(_u18585, _u18587), _u18591)) )).
% 39.92/40.16 cnf(matrix-7486, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u18586, _u18588), _u18590)) | ~hBOOL(hAPP(c_List_Olistsp(_u18586, _u18588), _u18592)) | hBOOL(hAPP(c_List_Olistsp(_u18586, _u18588), hAPP(hAPP(c_List_Oappend(_u18586), _u18590), _u18592))) )).
% 39.92/40.16 cnf(matrix-7487, plain, ( hBOOL(hAPP(c_List_Olistsp(_u18593, _u18594), c_List_Olist_ONil(_u18593))) )).
% 39.92/40.16 cnf(matrix-7488, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u18595, _u18596), _u18597)) | ~hBOOL(hAPP(c_List_Olistsp(_u18595, _u18598), _u18597)) | hBOOL(hAPP(c_List_Olistsp(_u18595, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18595, tc_HOL_Obool)), _u18596), _u18598)), _u18597)) )).
% 39.92/40.16 cnf(matrix-7489, plain, ( ( c_List_Olistsp(_u18599, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18599, tc_HOL_Obool)), _u18600), _u18601)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(_u18599), tc_HOL_Obool)), c_List_Olistsp(_u18599, _u18600)), c_List_Olistsp(_u18599, _u18601))) )).
% 39.92/40.16 cnf(matrix-7490, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u18606, hAPP(hAPP(c_COMBS(_u18606, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u18606), c_fconj), _u18608)), _u18610)), _u18612)) | hBOOL(hAPP(c_List_Olistsp(_u18606, _u18608), _u18612)) )).
% 39.92/40.16 cnf(matrix-7491, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u18606, hAPP(hAPP(c_COMBS(_u18606, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u18606), c_fconj), _u18608)), _u18610)), _u18612)) | hBOOL(hAPP(c_List_Olistsp(_u18606, _u18610), _u18612)) )).
% 39.92/40.16 cnf(matrix-7492, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u18607, _u18609), _u18613)) | ~hBOOL(hAPP(c_List_Olistsp(_u18607, _u18611), _u18613)) | hBOOL(hAPP(c_List_Olistsp(_u18607, hAPP(hAPP(c_COMBS(_u18607, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u18607), c_fconj), _u18609)), _u18611)), _u18613)) )).
% 39.92/40.16 cnf(matrix-7493, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u18618, _u18620), hAPP(hAPP(c_List_Olist_OCons(_u18618), _u18622), _u18624))) | hBOOL(hAPP(_u18620, _u18622)) )).
% 39.92/40.16 cnf(matrix-7494, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u18618, _u18620), hAPP(hAPP(c_List_Olist_OCons(_u18618), _u18622), _u18624))) | hBOOL(hAPP(c_List_Olistsp(_u18618, _u18620), _u18624)) )).
% 39.92/40.16 cnf(matrix-7495, plain, ( ~hBOOL(hAPP(_u18621, _u18623)) | ~hBOOL(hAPP(c_List_Olistsp(_u18619, _u18621), _u18625)) | hBOOL(hAPP(c_List_Olistsp(_u18619, _u18621), hAPP(hAPP(c_List_Olist_OCons(_u18619), _u18623), _u18625))) )).
% 39.92/40.16 cnf(matrix-7496, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u18631, _u18633), _u18635)) | ~hBOOL(hAPP(hAPP(c_member(_u18631), _u18626), hAPP(c_List_Oset(_u18631), _u18635))) | hBOOL(hAPP(_u18633, _u18626)) )).
% 39.92/40.16 cnf(matrix-7497, plain, ( hBOOL(hAPP(c_List_Olistsp(_u18632, _u18634), _u18636)) | hBOOL(hAPP(hAPP(c_member(_u18632), skolem430(_u18636, _u18634, _u18632)), hAPP(c_List_Oset(_u18632), _u18636))) )).
% 39.92/40.16 cnf(matrix-7498, plain, ( hBOOL(hAPP(c_List_Olistsp(_u18632, _u18634), _u18636)) | ~hBOOL(hAPP(_u18634, skolem430(_u18636, _u18634, _u18632))) )).
% 39.92/40.16 cnf(matrix-7499, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18637, tc_HOL_Obool)), _u18638), _u18639)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(_u18637), tc_HOL_Obool)), c_List_Olistsp(_u18637, _u18638)), c_List_Olistsp(_u18637, _u18639))) )).
% 39.92/40.16 cnf(matrix-7500, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u18643, hAPP(hAPP(c_COMBC(_u18643, tc_fun(_u18643, tc_HOL_Obool), tc_HOL_Obool), c_member(_u18643)), _u18645)), _u18647)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18643)), _u18647), c_List_Olists(_u18643, _u18645))) )).
% 39.92/40.16 cnf(matrix-7501, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18644)), _u18648), c_List_Olists(_u18644, _u18646))) | hBOOL(hAPP(c_List_Olistsp(_u18644, hAPP(hAPP(c_COMBC(_u18644, tc_fun(_u18644, tc_HOL_Obool), tc_HOL_Obool), c_member(_u18644)), _u18646)), _u18648)) )).
% 39.92/40.16 cnf(matrix-7502, plain, ( ~c_Fun_Oinj__on(_u18650, _u18651, _u18652, _u18653) | ~hBOOL(hAPP(hAPP(c_member(_u18654), _u18657), _u18655)) | ( hAPP(c_Set_Oimage(_u18650, _u18651, _u18652), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18654, tc_fun(_u18650, tc_HOL_Obool)), _u18655), _u18656)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18654, tc_fun(_u18651, tc_HOL_Obool)), _u18655), hAPP(hAPP(c_COMBB(tc_fun(_u18650, tc_HOL_Obool), tc_fun(_u18651, tc_HOL_Obool), _u18654), c_Set_Oimage(_u18650, _u18651, _u18652)), _u18656))) | hBOOL(hAPP(hAPP(c_member(_u18654), skolem431(_u18657, _u18656, _u18655, _u18654, _u18653, _u18652, _u18651, _u18650)), _u18655)) )).
% 39.92/40.16 cnf(matrix-7503, plain, ( ~c_Fun_Oinj__on(_u18650, _u18651, _u18652, _u18653) | ~hBOOL(hAPP(hAPP(c_member(_u18654), _u18657), _u18655)) | ( hAPP(c_Set_Oimage(_u18650, _u18651, _u18652), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18654, tc_fun(_u18650, tc_HOL_Obool)), _u18655), _u18656)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18654, tc_fun(_u18651, tc_HOL_Obool)), _u18655), hAPP(hAPP(c_COMBB(tc_fun(_u18650, tc_HOL_Obool), tc_fun(_u18651, tc_HOL_Obool), _u18654), c_Set_Oimage(_u18650, _u18651, _u18652)), _u18656))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18650, tc_HOL_Obool)), hAPP(_u18656, skolem431(_u18657, _u18656, _u18655, _u18654, _u18653, _u18652, _u18651, _u18650))), _u18653)) )).
% 39.92/40.16 cnf(matrix-7504, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u18658) | ( c_Complete__Lattice_OSup__class_OSup(_u18658, _u18659) = c_Complete__Lattice_OInf__class_OInf(_u18658, hAPP(c_Set_OCollect(_u18658), hAPP(hAPP(c_COMBB(tc_fun(_u18658, tc_HOL_Obool), tc_HOL_Obool, _u18658), c_HOL_OAll(_u18658)), hAPP(hAPP(c_COMBB(tc_fun(_u18658, tc_HOL_Obool), tc_fun(_u18658, tc_HOL_Obool), _u18658), hAPP(c_COMBS(_u18658, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u18658), c_fimplies), hAPP(hAPP(c_COMBC(_u18658, tc_fun(_u18658, tc_HOL_Obool), tc_HOL_Obool), c_member(_u18658)), _u18659)))), hAPP(c_COMBC(_u18658, _u18658, tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(_u18658))))))) )).
% 39.92/40.16 cnf(matrix-7505, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u18661, tc_HOL_Obool)), _u18660), _u18662)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18661), _u18660)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u18661), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u18661, tc_HOL_Obool), _u18662))) )).
% 39.92/40.16 cnf(matrix-7506, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18663), _u18664), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u18663, tc_HOL_Obool), _u18665))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u18663, tc_HOL_Obool)), _u18666), _u18665)) | hBOOL(hAPP(hAPP(c_member(_u18663), _u18664), _u18666)) )).
% 39.92/40.16 cnf(matrix-7507, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18667), _u18668), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u18667, tc_HOL_Obool), _u18669))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u18667, tc_HOL_Obool)), _u18670), _u18669)) | hBOOL(hAPP(hAPP(c_member(_u18667), _u18668), _u18670)) )).
% 39.92/40.16 cnf(matrix-7508, plain, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u18671, tc_HOL_Obool), _u18672) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u18671, tc_HOL_Obool), tc_fun(_u18671, tc_HOL_Obool)), _u18672), c_COMBI(tc_fun(_u18671, tc_HOL_Obool)))) )).
% 39.92/40.16 cnf(matrix-7509, plain, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u18673, tc_HOL_Obool), hAPP(c_Set_Oimage(_u18674, tc_fun(_u18673, tc_HOL_Obool), _u18675), _u18676)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18674, tc_fun(_u18673, tc_HOL_Obool)), _u18676), _u18675)) )).
% 39.92/40.16 cnf(matrix-7510, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18677, tc_fun(_u18678, tc_HOL_Obool)), _u18679), _u18680) = c_Complete__Lattice_OInf__class_OInf(tc_fun(_u18678, tc_HOL_Obool), hAPP(c_Set_Oimage(_u18677, tc_fun(_u18678, tc_HOL_Obool), _u18680), _u18679))) )).
% 39.92/40.16 cnf(matrix-7511, plain, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u18681, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u18681, tc_HOL_Obool)), _u18682), _u18683)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18681, tc_HOL_Obool)), _u18682), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u18681, tc_HOL_Obool), _u18683))) )).
% 39.92/40.16 cnf(matrix-7512, plain, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u18684, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u18684, tc_HOL_Obool), tc_HOL_Obool)), _u18685), _u18686)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18684, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u18684, tc_HOL_Obool), _u18685)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u18684, tc_HOL_Obool), _u18686))) )).
% 39.92/40.16 cnf(matrix-7513, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u18687) | ( c_Complete__Lattice_OInf__class_OInf(_u18687, hAPP(hAPP(c_Set_Oinsert(_u18687), _u18688), c_Orderings_Obot__class_Obot(tc_fun(_u18687, tc_HOL_Obool)))) = _u18688) )).
% 39.92/40.16 cnf(matrix-7514, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u18689) | ( c_Complete__Lattice_OInf__class_OInf(_u18689, c_Orderings_Obot__class_Obot(tc_fun(_u18689, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(_u18689)) )).
% 39.92/40.16 cnf(matrix-7515, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u18690) | ( c_Complete__Lattice_OInf__class_OInf(_u18690, c_Orderings_Otop__class_Otop(tc_fun(_u18690, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(_u18690)) )).
% 39.92/40.16 cnf(matrix-7516, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u18691) | ( c_Complete__Lattice_OInf__class_OInf(_u18691, hAPP(hAPP(c_Set_Oinsert(_u18691), _u18692), _u18693)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u18691), _u18692), c_Complete__Lattice_OInf__class_OInf(_u18691, _u18693))) )).
% 39.92/40.16 cnf(matrix-7517, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u18694) | ~hBOOL(hAPP(hAPP(c_member(_u18694), _u18695), _u18696)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18694), c_Complete__Lattice_OInf__class_OInf(_u18694, _u18696)), _u18695)) )).
% 39.92/40.16 cnf(matrix-7518, plain, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u18697, tc_HOL_Obool), _u18698) = hAPP(c_Set_OCollect(_u18697), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u18697, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool, _u18697), c_HOL_OAll(tc_fun(_u18697, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u18697, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u18697, tc_HOL_Obool), tc_HOL_Obool), _u18697), hAPP(c_COMBS(tc_fun(_u18697, 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(_u18697, tc_HOL_Obool)), c_fimplies), hAPP(hAPP(c_COMBC(tc_fun(_u18697, tc_HOL_Obool), tc_fun(tc_fun(_u18697, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u18697, tc_HOL_Obool))), _u18698)))), c_member(_u18697))))) )).
% 39.92/40.16 cnf(matrix-7519, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u18699, tc_HOL_Obool), tc_HOL_Obool)), _u18700), _u18701)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18699, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u18699, tc_HOL_Obool), _u18701)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u18699, tc_HOL_Obool), _u18700))) )).
% 39.92/40.16 cnf(matrix-7520, plain, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u18702, tc_HOL_Obool), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u18702, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u18702, tc_HOL_Obool))) )).
% 39.92/40.16 cnf(matrix-7521, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u18705) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18705), _u18706), c_Complete__Lattice_OInf__class_OInf(_u18705, _u18707))) | ~hBOOL(hAPP(hAPP(c_member(_u18705), _u18703), _u18707)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18705), _u18706), _u18703)) )).
% 39.92/40.16 cnf(matrix-7522, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u18705) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18705), _u18706), c_Complete__Lattice_OInf__class_OInf(_u18705, _u18707))) | hBOOL(hAPP(hAPP(c_member(_u18705), skolem432(_u18707, _u18706, _u18705)), _u18707)) )).
% 39.92/40.16 cnf(matrix-7523, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u18705) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18705), _u18706), c_Complete__Lattice_OInf__class_OInf(_u18705, _u18707))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18705), _u18706), skolem432(_u18707, _u18706, _u18705))) )).
% 39.92/40.16 cnf(matrix-7524, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u18708, tc_HOL_Obool)), _u18709), _u18710)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18708, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u18708, tc_HOL_Obool), _u18710)), _u18709)) )).
% 39.92/40.16 cnf(matrix-7525, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u18713) | ~class_Orderings_Olinorder(_u18713) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u18713), c_Complete__Lattice_OInf__class_OInf(_u18713, _u18714)), _u18715)) | hBOOL(hAPP(hAPP(c_member(_u18713), skolem433(_u18715, _u18714, _u18713)), _u18714)) )).
% 39.92/40.16 cnf(matrix-7526, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u18713) | ~class_Orderings_Olinorder(_u18713) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u18713), c_Complete__Lattice_OInf__class_OInf(_u18713, _u18714)), _u18715)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u18713), skolem433(_u18715, _u18714, _u18713)), _u18715)) )).
% 39.92/40.16 cnf(matrix-7527, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u18713) | ~class_Orderings_Olinorder(_u18713) | ~hBOOL(hAPP(hAPP(c_member(_u18713), _u18712), _u18714)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u18713), _u18712), _u18715)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u18713), c_Complete__Lattice_OInf__class_OInf(_u18713, _u18714)), _u18715)) )).
% 39.92/40.16 cnf(matrix-7528, plain, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u18716, tc_HOL_Obool), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u18716, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u18716, tc_HOL_Obool))) )).
% 39.92/40.16 cnf(matrix-7529, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u18717, tc_HOL_Obool)), _u18718), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u18717, tc_HOL_Obool), _u18719)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u18717, tc_HOL_Obool), tc_fun(_u18717, tc_HOL_Obool)), _u18719), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u18717, tc_HOL_Obool)), _u18718))) )).
% 39.92/40.16 cnf(matrix-7530, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18720, tc_HOL_Obool)), _u18721), _u18722) = c_Complete__Lattice_OInf__class_OInf(tc_fun(_u18720, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u18720, tc_HOL_Obool)), _u18721), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u18720, tc_HOL_Obool)), _u18722), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u18720, tc_HOL_Obool), tc_HOL_Obool)))))) )).
% 39.92/40.16 cnf(matrix-7531, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u18723, tc_fun(_u18724, tc_HOL_Obool)), _u18725), hAPP(hAPP(c_COMBS(_u18723, tc_fun(_u18724, tc_HOL_Obool), tc_fun(_u18724, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18724, tc_HOL_Obool), tc_fun(tc_fun(_u18724, tc_HOL_Obool), tc_fun(_u18724, tc_HOL_Obool)), _u18723), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18724, tc_HOL_Obool))), _u18726)), _u18727)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18724, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u18724, tc_HOL_Obool), hAPP(c_Set_Oimage(_u18723, tc_fun(_u18724, tc_HOL_Obool), _u18726), _u18725))), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u18724, tc_HOL_Obool), hAPP(c_Set_Oimage(_u18723, tc_fun(_u18724, tc_HOL_Obool), _u18727), _u18725)))) )).
% 39.92/40.16 cnf(matrix-7532, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18728, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u18728, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u18728, tc_HOL_Obool), _u18729)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u18728, tc_HOL_Obool), _u18730))), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u18728, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(_u18728, tc_HOL_Obool), tc_HOL_Obool)), _u18729), _u18730)))) )).
% 39.92/40.16 cnf(matrix-7533, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u18731) | ( c_Complete__Lattice_OInf__class_OInf(_u18731, hAPP(hAPP(c_Set_Oinsert(_u18731), _u18732), hAPP(hAPP(c_Set_Oinsert(_u18731), _u18733), c_Orderings_Obot__class_Obot(tc_fun(_u18731, tc_HOL_Obool))))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u18731), _u18732), _u18733)) )).
% 39.92/40.16 cnf(matrix-7534, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u18734) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18734), _u18735)) | ( _u18735 = c_Orderings_Obot__class_Obot(tc_fun(_u18734, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u18734, _u18735) = c_Complete__Lattice_OInf__class_OInf(_u18734, _u18735)) )).
% 39.92/40.16 cnf(matrix-7535, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u18736) | ( c_Complete__Lattice_OInf__class_OInf(_u18736, hAPP(c_List_Oset(_u18736), _u18737)) = hAPP(c_List_Ofoldl(_u18736, _u18736, c_Lattices_Osemilattice__inf__class_Oinf(_u18736), c_Orderings_Otop__class_Otop(_u18736)), _u18737)) )).
% 39.92/40.16 cnf(matrix-7536, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u18738) | ( c_Complete__Lattice_OInf__class_OInf(_u18738, _u18739) = c_Complete__Lattice_OSup__class_OSup(_u18738, hAPP(c_Set_OCollect(_u18738), hAPP(hAPP(c_COMBB(tc_fun(_u18738, tc_HOL_Obool), tc_HOL_Obool, _u18738), c_HOL_OAll(_u18738)), hAPP(hAPP(c_COMBB(tc_fun(_u18738, tc_HOL_Obool), tc_fun(_u18738, tc_HOL_Obool), _u18738), hAPP(c_COMBS(_u18738, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u18738), c_fimplies), hAPP(hAPP(c_COMBC(_u18738, tc_fun(_u18738, tc_HOL_Obool), tc_HOL_Obool), c_member(_u18738)), _u18739)))), c_Orderings_Oord__class_Oless__eq(_u18738)))))) )).
% 39.92/40.16 cnf(matrix-7537, plain, ( ~c_List_Olist__all2(_u18747, _u18749, _u18751, _u18753, _u18755) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18747)), _u18753) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18749)), _u18755)) )).
% 39.92/40.16 cnf(matrix-7538, plain, ( ~c_List_Olist__all2(_u18747, _u18749, _u18751, _u18753, _u18755) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18747, _u18749)), _u18740), hAPP(c_List_Oset(tc_prod(_u18747, _u18749)), hAPP(hAPP(c_List_Ozip(_u18747, _u18749), _u18753), _u18755)))) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u18747, _u18749, tc_HOL_Obool), _u18751), _u18740)) )).
% 39.92/40.16 cnf(matrix-7539, plain, ( c_List_Olist__all2(_u18748, _u18750, _u18752, _u18754, _u18756) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18748)), _u18754) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18750)), _u18756)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18748, _u18750)), skolem434(_u18756, _u18754, _u18752, _u18750, _u18748)), hAPP(c_List_Oset(tc_prod(_u18748, _u18750)), hAPP(hAPP(c_List_Ozip(_u18748, _u18750), _u18754), _u18756)))) )).
% 39.92/40.16 cnf(matrix-7540, plain, ( c_List_Olist__all2(_u18748, _u18750, _u18752, _u18754, _u18756) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18748)), _u18754) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18750)), _u18756)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u18748, _u18750, tc_HOL_Obool), _u18752), skolem434(_u18756, _u18754, _u18752, _u18750, _u18748))) )).
% 39.92/40.16 cnf(matrix-7541, plain, ( ~class_Orderings_Olinorder(_u18763) | ~c_List_Olinorder__class_Osorted(_u18763, _u18764) | ( _u18764 = c_List_Olist_ONil(_u18763)) | c_List_Olinorder__class_Osorted(_u18763, skolem435(_u18764, _u18763)) )).
% 39.92/40.16 cnf(matrix-7542, plain, ( ~class_Orderings_Olinorder(_u18763) | ~c_List_Olinorder__class_Osorted(_u18763, _u18764) | ( _u18764 = c_List_Olist_ONil(_u18763)) | ( _u18764 = hAPP(hAPP(c_List_Olist_OCons(_u18763), skolem436(_u18764, _u18763)), skolem435(_u18764, _u18763))) )).
% 39.92/40.16 cnf(matrix-7543, plain, ( ~class_Orderings_Olinorder(_u18763) | ~c_List_Olinorder__class_Osorted(_u18763, _u18764) | ( _u18764 = c_List_Olist_ONil(_u18763)) | ~hBOOL(hAPP(hAPP(c_member(_u18763), _u18757), hAPP(c_List_Oset(_u18763), skolem435(_u18764, _u18763)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18763), skolem436(_u18764, _u18763)), _u18757)) )).
% 39.92/40.16 cnf(matrix-7544, plain, ( ~class_Orderings_Olinorder(_u18763) | c_List_Olinorder__class_Osorted(_u18763, _u18764) | ( _u18764 != c_List_Olist_ONil(_u18763)) )).
% 39.92/40.16 cnf(matrix-7545, plain, ( ~class_Orderings_Olinorder(_u18763) | c_List_Olinorder__class_Osorted(_u18763, _u18764) | ~c_List_Olinorder__class_Osorted(_u18763, _u18762) | ( _u18764 != hAPP(hAPP(c_List_Olist_OCons(_u18763), _u18761), _u18762)) | hBOOL(hAPP(hAPP(c_member(_u18763), skolem437(_u18764, _u18763, _u18762, _u18761)), hAPP(c_List_Oset(_u18763), _u18762))) )).
% 39.92/40.16 cnf(matrix-7546, plain, ( ~class_Orderings_Olinorder(_u18763) | c_List_Olinorder__class_Osorted(_u18763, _u18764) | ~c_List_Olinorder__class_Osorted(_u18763, _u18762) | ( _u18764 != hAPP(hAPP(c_List_Olist_OCons(_u18763), _u18761), _u18762)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18763), _u18761), skolem437(_u18764, _u18763, _u18762, _u18761))) )).
% 39.92/40.16 cnf(matrix-7547, plain, ( ~c_List_Olist__all2(_u18765, _u18766, _u18767, _u18768, _u18769) | ~c_List_Olist__all2(_u18765, _u18766, _u18767, _u18770, _u18771) | c_List_Olist__all2(_u18765, _u18766, _u18767, hAPP(hAPP(c_List_Oappend(_u18765), _u18768), _u18770), hAPP(hAPP(c_List_Oappend(_u18766), _u18769), _u18771)) )).
% 39.92/40.16 cnf(matrix-7548, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18772)), _u18773) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18774)), _u18775)) | ~c_List_Olist__all2(_u18772, _u18774, _u18776, hAPP(hAPP(c_List_Oappend(_u18772), _u18773), _u18777), hAPP(hAPP(c_List_Oappend(_u18774), _u18775), _u18778)) | c_List_Olist__all2(_u18772, _u18774, _u18776, _u18773, _u18775) )).
% 39.92/40.16 cnf(matrix-7549, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18772)), _u18773) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18774)), _u18775)) | ~c_List_Olist__all2(_u18772, _u18774, _u18776, hAPP(hAPP(c_List_Oappend(_u18772), _u18773), _u18777), hAPP(hAPP(c_List_Oappend(_u18774), _u18775), _u18778)) | c_List_Olist__all2(_u18772, _u18774, _u18776, _u18777, _u18778) )).
% 39.92/40.16 cnf(matrix-7550, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18772)), _u18773) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18774)), _u18775)) | ~c_List_Olist__all2(_u18772, _u18774, _u18776, _u18773, _u18775) | ~c_List_Olist__all2(_u18772, _u18774, _u18776, _u18777, _u18778) | c_List_Olist__all2(_u18772, _u18774, _u18776, hAPP(hAPP(c_List_Oappend(_u18772), _u18773), _u18777), hAPP(hAPP(c_List_Oappend(_u18774), _u18775), _u18778)) )).
% 39.92/40.16 cnf(matrix-7551, plain, ( ( _u18789 = c_List_Olist_ONil(_u18785)) | ~c_List_Olist__all2(_u18783, _u18785, _u18787, c_List_Olist_ONil(_u18783), _u18789) )).
% 39.92/40.16 cnf(matrix-7552, plain, ( ( _u18790 != c_List_Olist_ONil(_u18786)) | c_List_Olist__all2(_u18784, _u18786, _u18788, c_List_Olist_ONil(_u18784), _u18790) )).
% 39.92/40.16 cnf(matrix-7553, plain, ( ~c_List_Olist__all2(_u18795, _u18797, _u18799, _u18801, c_List_Olist_ONil(_u18797)) | ( _u18801 = c_List_Olist_ONil(_u18795)) )).
% 39.92/40.16 cnf(matrix-7554, plain, ( ( _u18802 != c_List_Olist_ONil(_u18796)) | c_List_Olist__all2(_u18796, _u18798, _u18800, _u18802, c_List_Olist_ONil(_u18798)) )).
% 39.92/40.16 cnf(matrix-7555, plain, ( ~c_List_Olist__all2(_u18803, _u18804, _u18805, _u18806, _u18807) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18803)), _u18806) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18804)), _u18807)) )).
% 39.92/40.16 cnf(matrix-7556, plain, ( ( _u18811 != _u18813) | c_List_Olist__all2(_u18815, _u18815, c_fequal, _u18811, _u18813) )).
% 39.92/40.16 cnf(matrix-7557, plain, ( ~c_List_Olist__all2(_u18816, _u18816, c_fequal, _u18812, _u18814) | ( _u18812 = _u18814) )).
% 39.92/40.16 cnf(matrix-7558, plain, ( ~c_List_Olist__all2(_u18817, _u18818, _u18819, _u18820, _u18821) | c_List_Olist__all2(_u18817, _u18818, _u18819, hAPP(hAPP(c_List_Otake(_u18817), _u18822), _u18820), hAPP(hAPP(c_List_Otake(_u18818), _u18822), _u18821)) )).
% 39.92/40.16 cnf(matrix-7559, plain, ( ~c_List_Olist__all2(_u18830, _u18832, _u18834, hAPP(hAPP(c_List_Olist_OCons(_u18830), _u18836), _u18838), hAPP(hAPP(c_List_Olist_OCons(_u18832), _u18840), _u18842)) | hBOOL(hAPP(hAPP(_u18834, _u18836), _u18840)) )).
% 39.92/40.16 cnf(matrix-7560, plain, ( ~c_List_Olist__all2(_u18830, _u18832, _u18834, hAPP(hAPP(c_List_Olist_OCons(_u18830), _u18836), _u18838), hAPP(hAPP(c_List_Olist_OCons(_u18832), _u18840), _u18842)) | c_List_Olist__all2(_u18830, _u18832, _u18834, _u18838, _u18842) )).
% 39.92/40.16 cnf(matrix-7561, plain, ( ~hBOOL(hAPP(hAPP(_u18835, _u18837), _u18841)) | ~c_List_Olist__all2(_u18831, _u18833, _u18835, _u18839, _u18843) | c_List_Olist__all2(_u18831, _u18833, _u18835, hAPP(hAPP(c_List_Olist_OCons(_u18831), _u18837), _u18839), hAPP(hAPP(c_List_Olist_OCons(_u18833), _u18841), _u18843)) )).
% 39.92/40.16 cnf(matrix-7562, plain, ( ~c_List_Olist__all2(_u18851, _u18853, _u18855, _u18857, hAPP(hAPP(c_List_Omap(_u18859, _u18853), _u18861), _u18863)) | c_List_Olist__all2(_u18851, _u18859, hAPP(hAPP(c_COMBC(_u18851, tc_fun(_u18859, _u18853), tc_fun(_u18859, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18853, tc_HOL_Obool), tc_fun(tc_fun(_u18859, _u18853), tc_fun(_u18859, tc_HOL_Obool)), _u18851), c_COMBB(_u18853, tc_HOL_Obool, _u18859)), _u18855)), _u18861), _u18857, _u18863) )).
% 39.92/40.16 cnf(matrix-7563, plain, ( ~c_List_Olist__all2(_u18852, _u18860, hAPP(hAPP(c_COMBC(_u18852, tc_fun(_u18860, _u18854), tc_fun(_u18860, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18854, tc_HOL_Obool), tc_fun(tc_fun(_u18860, _u18854), tc_fun(_u18860, tc_HOL_Obool)), _u18852), c_COMBB(_u18854, tc_HOL_Obool, _u18860)), _u18856)), _u18862), _u18858, _u18864) | c_List_Olist__all2(_u18852, _u18854, _u18856, _u18858, hAPP(hAPP(c_List_Omap(_u18860, _u18854), _u18862), _u18864)) )).
% 39.92/40.16 cnf(matrix-7564, plain, ( ~c_List_Olist__all2(_u18872, _u18874, _u18876, hAPP(hAPP(c_List_Omap(_u18878, _u18872), _u18880), _u18882), _u18884) | c_List_Olist__all2(_u18878, _u18874, hAPP(hAPP(c_COMBB(_u18872, tc_fun(_u18874, tc_HOL_Obool), _u18878), _u18876), _u18880), _u18882, _u18884) )).
% 39.92/40.16 cnf(matrix-7565, plain, ( ~c_List_Olist__all2(_u18879, _u18875, hAPP(hAPP(c_COMBB(_u18873, tc_fun(_u18875, tc_HOL_Obool), _u18879), _u18877), _u18881), _u18883, _u18885) | c_List_Olist__all2(_u18873, _u18875, _u18877, hAPP(hAPP(c_List_Omap(_u18879, _u18873), _u18881), _u18883), _u18885) )).
% 39.92/40.16 cnf(matrix-7566, plain, ( ~c_List_Olist__all2(_u18886, _u18887, _u18888, _u18889, _u18890) | c_List_Olist__all2(_u18886, _u18887, _u18888, hAPP(hAPP(c_List_Odrop(_u18886), _u18891), _u18889), hAPP(hAPP(c_List_Odrop(_u18887), _u18891), _u18890)) )).
% 39.92/40.16 cnf(matrix-7567, plain, ( ~c_List_Olist__all2(_u18897, _u18899, _u18901, hAPP(c_List_Orev(_u18897), _u18903), _u18905) | c_List_Olist__all2(_u18897, _u18899, _u18901, _u18903, hAPP(c_List_Orev(_u18899), _u18905)) )).
% 39.92/40.16 cnf(matrix-7568, plain, ( ~c_List_Olist__all2(_u18898, _u18900, _u18902, _u18904, hAPP(c_List_Orev(_u18900), _u18906)) | c_List_Olist__all2(_u18898, _u18900, _u18902, hAPP(c_List_Orev(_u18898), _u18904), _u18906) )).
% 39.92/40.16 cnf(matrix-7569, plain, ( ~c_List_Olist__all2(_u18912, _u18914, _u18916, hAPP(c_List_Orev(_u18912), _u18918), hAPP(c_List_Orev(_u18914), _u18920)) | c_List_Olist__all2(_u18912, _u18914, _u18916, _u18918, _u18920) )).
% 39.92/40.16 cnf(matrix-7570, plain, ( ~c_List_Olist__all2(_u18913, _u18915, _u18917, _u18919, _u18921) | c_List_Olist__all2(_u18913, _u18915, _u18917, hAPP(c_List_Orev(_u18913), _u18919), hAPP(c_List_Orev(_u18915), _u18921)) )).
% 39.92/40.16 cnf(matrix-7571, plain, ( ~c_List_Olist__all2(_u18929, _u18931, _u18933, _u18935, _u18937) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18929)), _u18935) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18931)), _u18937)) )).
% 39.92/40.16 cnf(matrix-7572, plain, ( ~c_List_Olist__all2(_u18929, _u18931, _u18933, _u18935, _u18937) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18922), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18929)), _u18935))) | hBOOL(hAPP(hAPP(_u18933, hAPP(hAPP(c_List_Onth(_u18929), _u18935), _u18922)), hAPP(hAPP(c_List_Onth(_u18931), _u18937), _u18922))) )).
% 39.92/40.16 cnf(matrix-7573, plain, ( c_List_Olist__all2(_u18930, _u18932, _u18934, _u18936, _u18938) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18930)), _u18936) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18932)), _u18938)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem438(_u18938, _u18936, _u18934, _u18932, _u18930)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18930)), _u18936))) )).
% 39.92/40.16 cnf(matrix-7574, plain, ( c_List_Olist__all2(_u18930, _u18932, _u18934, _u18936, _u18938) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18930)), _u18936) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18932)), _u18938)) | ~hBOOL(hAPP(hAPP(_u18934, hAPP(hAPP(c_List_Onth(_u18930), _u18936), skolem438(_u18938, _u18936, _u18934, _u18932, _u18930))), hAPP(hAPP(c_List_Onth(_u18932), _u18938), skolem438(_u18938, _u18936, _u18934, _u18932, _u18930)))) )).
% 39.92/40.16 cnf(matrix-7575, plain, ( ~c_List_Olist__all2(_u18939, _u18940, _u18941, _u18942, _u18943) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18944), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18939)), _u18942))) | hBOOL(hAPP(hAPP(_u18941, hAPP(hAPP(c_List_Onth(_u18939), _u18942), _u18944)), hAPP(hAPP(c_List_Onth(_u18940), _u18943), _u18944))) )).
% 39.92/40.16 cnf(matrix-7576, plain, ( ~c_List_Olist__all2(_u18945, _u18946, _u18947, _u18948, _u18949) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18950), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18946)), _u18949))) | hBOOL(hAPP(hAPP(_u18947, hAPP(hAPP(c_List_Onth(_u18945), _u18948), _u18950)), hAPP(hAPP(c_List_Onth(_u18946), _u18949), _u18950))) )).
% 39.92/40.16 cnf(matrix-7577, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18951), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18952)), _u18953))) | ~c_List_Olist__all2(_u18952, _u18954, _u18955, _u18953, _u18956) | ~hBOOL(hAPP(hAPP(_u18955, _u18957), _u18958)) | c_List_Olist__all2(_u18952, _u18954, _u18955, hAPP(hAPP(c_List_Olist__update(_u18952, _u18953), _u18951), _u18957), hAPP(hAPP(c_List_Olist__update(_u18954, _u18956), _u18951), _u18958)) )).
% 39.92/40.16 cnf(matrix-7578, plain, ( ~c_List_Olist__all2(_u18959, _u18960, _u18961, _u18962, _u18963) | ~hBOOL(hAPP(hAPP(_u18961, _u18964), _u18965)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18966), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18960)), _u18963))) | c_List_Olist__all2(_u18959, _u18960, _u18961, hAPP(hAPP(c_List_Olist__update(_u18959, _u18962), _u18966), _u18964), hAPP(hAPP(c_List_Olist__update(_u18960, _u18963), _u18966), _u18965)) )).
% 39.92/40.16 cnf(matrix-7579, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18968)), _u18970) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18969)), _u18971)) | c_List_Olist__all2(_u18968, _u18969, _u18972, _u18970, _u18971) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18968, _u18969)), skolem439(_u18972, _u18971, _u18970, _u18969, _u18968)), hAPP(c_List_Oset(tc_prod(_u18968, _u18969)), hAPP(hAPP(c_List_Ozip(_u18968, _u18969), _u18970), _u18971)))) )).
% 39.92/40.16 cnf(matrix-7580, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18968)), _u18970) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18969)), _u18971)) | c_List_Olist__all2(_u18968, _u18969, _u18972, _u18970, _u18971) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u18968, _u18969, tc_HOL_Obool), _u18972), skolem439(_u18972, _u18971, _u18970, _u18969, _u18968))) )).
% 39.92/40.16 cnf(matrix-7581, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u18976, tc_HOL_Obool)), _u18977)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18976), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u18976, tc_HOL_Obool), _u18977))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u18976, tc_HOL_Obool)), skolem440(_u18978, _u18977, _u18976)), _u18977)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u18978), hAPP(c_Finite__Set_Ocard(tc_fun(_u18976, tc_HOL_Obool)), _u18977)) = hAPP(c_Finite__Set_Ocard(_u18976), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u18976, tc_HOL_Obool), _u18977))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u18976, tc_HOL_Obool)), skolem441(_u18978, _u18977, _u18976)), _u18977)) )).
% 39.92/40.16 cnf(matrix-7582, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u18976, tc_HOL_Obool)), _u18977)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18976), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u18976, tc_HOL_Obool), _u18977))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u18976, tc_HOL_Obool)), skolem440(_u18978, _u18977, _u18976)), _u18977)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u18978), hAPP(c_Finite__Set_Ocard(tc_fun(_u18976, tc_HOL_Obool)), _u18977)) = hAPP(c_Finite__Set_Ocard(_u18976), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u18976, tc_HOL_Obool), _u18977))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u18976, tc_HOL_Obool)), skolem442(_u18978, _u18977, _u18976)), _u18977)) )).
% 39.92/40.16 cnf(matrix-7583, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u18976, tc_HOL_Obool)), _u18977)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18976), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u18976, tc_HOL_Obool), _u18977))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u18976, tc_HOL_Obool)), skolem440(_u18978, _u18977, _u18976)), _u18977)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u18978), hAPP(c_Finite__Set_Ocard(tc_fun(_u18976, tc_HOL_Obool)), _u18977)) = hAPP(c_Finite__Set_Ocard(_u18976), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u18976, tc_HOL_Obool), _u18977))) | ( skolem441(_u18978, _u18977, _u18976) != skolem442(_u18978, _u18977, _u18976)) )).
% 39.92/40.16 cnf(matrix-7584, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u18976, tc_HOL_Obool)), _u18977)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18976), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u18976, tc_HOL_Obool), _u18977))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u18976, tc_HOL_Obool)), skolem440(_u18978, _u18977, _u18976)), _u18977)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u18978), hAPP(c_Finite__Set_Ocard(tc_fun(_u18976, tc_HOL_Obool)), _u18977)) = hAPP(c_Finite__Set_Ocard(_u18976), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u18976, tc_HOL_Obool), _u18977))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18976, tc_HOL_Obool)), skolem441(_u18978, _u18977, _u18976)), skolem442(_u18978, _u18977, _u18976)) != c_Orderings_Obot__class_Obot(tc_fun(_u18976, tc_HOL_Obool))) )).
% 39.92/40.16 cnf(matrix-7585, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u18976, tc_HOL_Obool)), _u18977)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18976), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u18976, tc_HOL_Obool), _u18977))) | ( hAPP(c_Finite__Set_Ocard(_u18976), skolem440(_u18978, _u18977, _u18976)) != _u18978) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u18978), hAPP(c_Finite__Set_Ocard(tc_fun(_u18976, tc_HOL_Obool)), _u18977)) = hAPP(c_Finite__Set_Ocard(_u18976), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u18976, tc_HOL_Obool), _u18977))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u18976, tc_HOL_Obool)), skolem441(_u18978, _u18977, _u18976)), _u18977)) )).
% 39.92/40.16 cnf(matrix-7586, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u18976, tc_HOL_Obool)), _u18977)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18976), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u18976, tc_HOL_Obool), _u18977))) | ( hAPP(c_Finite__Set_Ocard(_u18976), skolem440(_u18978, _u18977, _u18976)) != _u18978) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u18978), hAPP(c_Finite__Set_Ocard(tc_fun(_u18976, tc_HOL_Obool)), _u18977)) = hAPP(c_Finite__Set_Ocard(_u18976), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u18976, tc_HOL_Obool), _u18977))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u18976, tc_HOL_Obool)), skolem442(_u18978, _u18977, _u18976)), _u18977)) )).
% 39.92/40.16 cnf(matrix-7587, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u18976, tc_HOL_Obool)), _u18977)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18976), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u18976, tc_HOL_Obool), _u18977))) | ( hAPP(c_Finite__Set_Ocard(_u18976), skolem440(_u18978, _u18977, _u18976)) != _u18978) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u18978), hAPP(c_Finite__Set_Ocard(tc_fun(_u18976, tc_HOL_Obool)), _u18977)) = hAPP(c_Finite__Set_Ocard(_u18976), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u18976, tc_HOL_Obool), _u18977))) | ( skolem441(_u18978, _u18977, _u18976) != skolem442(_u18978, _u18977, _u18976)) )).
% 39.92/40.16 cnf(matrix-7588, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u18976, tc_HOL_Obool)), _u18977)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18976), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u18976, tc_HOL_Obool), _u18977))) | ( hAPP(c_Finite__Set_Ocard(_u18976), skolem440(_u18978, _u18977, _u18976)) != _u18978) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u18978), hAPP(c_Finite__Set_Ocard(tc_fun(_u18976, tc_HOL_Obool)), _u18977)) = hAPP(c_Finite__Set_Ocard(_u18976), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u18976, tc_HOL_Obool), _u18977))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18976, tc_HOL_Obool)), skolem441(_u18978, _u18977, _u18976)), skolem442(_u18978, _u18977, _u18976)) != c_Orderings_Obot__class_Obot(tc_fun(_u18976, tc_HOL_Obool))) )).
% 39.92/40.16 cnf(matrix-7589, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18980), _u18983), hAPP(c_List_Oset(_u18980), _u18981))) | hBOOL(hAPP(_u18982, _u18983)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem443(_u18983, _u18982, _u18981, _u18980)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18980)), _u18981))) )).
% 39.92/40.16 cnf(matrix-7590, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18980), _u18983), hAPP(c_List_Oset(_u18980), _u18981))) | hBOOL(hAPP(_u18982, _u18983)) | ~hBOOL(hAPP(_u18982, hAPP(hAPP(c_List_Onth(_u18980), _u18981), skolem443(_u18983, _u18982, _u18981, _u18980)))) )).
% 39.92/40.16 cnf(matrix-7591, plain, ( ~c_Fun_Oinj__on(_u18984, _u18985, _u18986, hAPP(hAPP(c_Set_Oinsert(_u18984), _u18987), hAPP(c_List_Oset(_u18984), _u18988))) | ( hAPP(hAPP(c_List_Omap(_u18984, _u18985), _u18986), hAPP(c_List_OremoveAll(_u18984, _u18987), _u18988)) = hAPP(c_List_OremoveAll(_u18985, hAPP(_u18986, _u18987)), hAPP(hAPP(c_List_Omap(_u18984, _u18985), _u18986), _u18988))) )).
% 39.92/40.16 cnf(matrix-7592, plain, ( ( hAPP(c_List_OremoveAll(_u18989, _u18990), hAPP(hAPP(c_List_Oappend(_u18989), _u18991), _u18992)) = hAPP(hAPP(c_List_Oappend(_u18989), hAPP(c_List_OremoveAll(_u18989, _u18990), _u18991)), hAPP(c_List_OremoveAll(_u18989, _u18990), _u18992))) )).
% 39.92/40.16 cnf(matrix-7593, plain, ( ( hAPP(c_List_OremoveAll(_u18993, _u18994), c_List_Olist_ONil(_u18993)) = c_List_Olist_ONil(_u18993)) )).
% 39.92/40.16 cnf(matrix-7594, plain, ( hBOOL(hAPP(_u18995, _u18996)) | ( hAPP(c_List_OremoveAll(_u18997, _u18996), hAPP(c_List_Ofilter(_u18997, _u18995), _u18998)) = hAPP(c_List_Ofilter(_u18997, _u18995), _u18998)) )).
% 39.92/40.16 cnf(matrix-7595, plain, ( ( c_List_OremoveAll(_u18999, _u19000) = c_List_Ofilter(_u18999, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18999), c_fNot), hAPP(c_fequal, _u19000)))) )).
% 39.92/40.16 cnf(matrix-7596, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u19001), _u19002)) | hBOOL(hAPP(c_List_Odistinct(_u19001), hAPP(c_List_OremoveAll(_u19001, _u19003), _u19002))) )).
% 39.92/40.16 cnf(matrix-7597, plain, ( ( _u19008 != _u19010) | ( hAPP(c_List_OremoveAll(_u19012, _u19008), hAPP(hAPP(c_List_Olist_OCons(_u19012), _u19010), _u19014)) = hAPP(c_List_OremoveAll(_u19012, _u19008), _u19014)) )).
% 39.92/40.16 cnf(matrix-7598, plain, ( ( _u19009 = _u19011) | ( hAPP(c_List_OremoveAll(_u19013, _u19009), hAPP(hAPP(c_List_Olist_OCons(_u19013), _u19011), _u19015)) = hAPP(hAPP(c_List_Olist_OCons(_u19013), _u19011), hAPP(c_List_OremoveAll(_u19013, _u19009), _u19015))) )).
% 39.92/40.16 cnf(matrix-7599, plain, ( hBOOL(hAPP(hAPP(c_member(_u19016), _u19017), hAPP(c_List_Oset(_u19016), _u19018))) | ( hAPP(c_List_OremoveAll(_u19016, _u19017), _u19018) = _u19018) )).
% 39.92/40.16 cnf(matrix-7600, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u19019), _u19020)) | ( c_List_Oremove1(_u19019, _u19021, _u19020) = hAPP(c_List_OremoveAll(_u19019, _u19021), _u19020)) )).
% 39.92/40.16 cnf(matrix-7601, plain, ( ~c_Fun_Oinj__on(_u19022, _u19023, _u19024, c_Orderings_Otop__class_Otop(tc_fun(_u19022, tc_HOL_Obool))) | ( hAPP(hAPP(c_List_Omap(_u19022, _u19023), _u19024), hAPP(c_List_OremoveAll(_u19022, _u19025), _u19026)) = hAPP(c_List_OremoveAll(_u19023, hAPP(_u19024, _u19025)), hAPP(hAPP(c_List_Omap(_u19022, _u19023), _u19024), _u19026))) )).
% 39.92/40.16 cnf(matrix-7602, plain, ( ( hAPP(c_List_Oset(_u19027), hAPP(c_List_OremoveAll(_u19027, _u19028), _u19029)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u19027, tc_HOL_Obool)), hAPP(c_List_Oset(_u19027), _u19029)), hAPP(hAPP(c_Set_Oinsert(_u19027), _u19028), c_Orderings_Obot__class_Obot(tc_fun(_u19027, tc_HOL_Obool))))) )).
% 39.92/40.16 cnf(matrix-7603, plain, ( hBOOL(hAPP(hAPP(c_member(_u19030), _u19031), hAPP(c_List_Oset(_u19030), _u19032))) | ( c_List_Oinsert(_u19030, _u19031, _u19032) = hAPP(hAPP(c_List_Olist_OCons(_u19030), _u19031), _u19032)) )).
% 39.92/40.16 cnf(matrix-7604, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19036), _u19038), hAPP(c_List_Oset(_u19036), _u19040))) | ( c_List_Oinsert(_u19036, _u19038, _u19040) = _u19040) )).
% 39.92/40.16 cnf(matrix-7605, plain, ( hBOOL(hAPP(hAPP(c_member(_u19037), _u19039), hAPP(c_List_Oset(_u19037), _u19041))) | ( c_List_Oinsert(_u19037, _u19039, _u19041) = hAPP(hAPP(c_List_Olist_OCons(_u19037), _u19039), _u19041)) )).
% 39.92/40.16 cnf(matrix-7606, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u19042), _u19043)) | hBOOL(hAPP(c_List_Odistinct(_u19042), c_List_Oinsert(_u19042, _u19044, _u19043))) )).
% 39.92/40.16 cnf(matrix-7607, plain, ( ( c_List_Oinsert(_u19045, _u19046, c_List_Oremdups(_u19045, _u19047)) = c_List_Oremdups(_u19045, c_List_Oinsert(_u19045, _u19046, _u19047))) )).
% 39.92/40.16 cnf(matrix-7608, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19048), _u19049), hAPP(c_List_Oset(_u19048), _u19050))) | ( c_List_Oinsert(_u19048, _u19049, _u19050) = _u19050) )).
% 39.92/40.16 cnf(matrix-7609, plain, ( ( hAPP(c_List_Oset(_u19051), c_List_Oinsert(_u19051, _u19052, _u19053)) = hAPP(hAPP(c_Set_Oinsert(_u19051), _u19052), hAPP(c_List_Oset(_u19051), _u19053))) )).
% 39.92/40.16 cnf(matrix-7610, plain, ( ( c_List_Oinsert(_u19054, _u19055, c_List_Olist_ONil(_u19054)) = hAPP(hAPP(c_List_Olist_OCons(_u19054), _u19055), c_List_Olist_ONil(_u19054))) )).
% 39.92/40.16 cnf(matrix-7611, plain, ( ( c_List_Oconcat(_u19056, hAPP(hAPP(c_List_Omap(_u19057, tc_List_Olist(_u19056)), _u19058), _u19059)) = c_List_Omaps(_u19057, _u19056, _u19058, _u19059)) )).
% 39.92/40.16 cnf(matrix-7612, plain, ( ( c_List_Omaps(_u19060, _u19061, _u19062, _u19063) = c_List_Oconcat(_u19061, hAPP(hAPP(c_List_Omap(_u19060, tc_List_Olist(_u19061)), _u19062), _u19063))) )).
% 39.92/40.16 cnf(matrix-7613, plain, ( ( c_List_Omaps(_u19064, _u19065, _u19066, c_List_Olist_ONil(_u19064)) = c_List_Olist_ONil(_u19065)) )).
% 39.92/40.16 cnf(matrix-7614, plain, ( ( c_List_Omaps(_u19067, _u19068, _u19069, hAPP(hAPP(c_List_Olist_OCons(_u19067), _u19070), _u19071)) = hAPP(hAPP(c_List_Oappend(_u19068), hAPP(_u19069, _u19070)), c_List_Omaps(_u19067, _u19068, _u19069, _u19071))) )).
% 39.92/40.16 cnf(matrix-7615, plain, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u19075)), _u19076)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19075)), skolem444(_u19076, _u19075)), hAPP(c_List_Oset(tc_List_Olist(_u19075)), _u19076))) | hBOOL(hAPP(c_List_Odistinct(_u19075), c_List_Oconcat(_u19075, _u19076))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19075)), skolem445(_u19076, _u19075)), hAPP(c_List_Oset(tc_List_Olist(_u19075)), _u19076))) )).
% 39.92/40.16 cnf(matrix-7616, plain, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u19075)), _u19076)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19075)), skolem444(_u19076, _u19075)), hAPP(c_List_Oset(tc_List_Olist(_u19075)), _u19076))) | hBOOL(hAPP(c_List_Odistinct(_u19075), c_List_Oconcat(_u19075, _u19076))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19075)), skolem446(_u19076, _u19075)), hAPP(c_List_Oset(tc_List_Olist(_u19075)), _u19076))) )).
% 39.92/40.16 cnf(matrix-7617, plain, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u19075)), _u19076)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19075)), skolem444(_u19076, _u19075)), hAPP(c_List_Oset(tc_List_Olist(_u19075)), _u19076))) | hBOOL(hAPP(c_List_Odistinct(_u19075), c_List_Oconcat(_u19075, _u19076))) | ( skolem445(_u19076, _u19075) != skolem446(_u19076, _u19075)) )).
% 39.92/40.16 cnf(matrix-7618, plain, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u19075)), _u19076)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19075)), skolem444(_u19076, _u19075)), hAPP(c_List_Oset(tc_List_Olist(_u19075)), _u19076))) | hBOOL(hAPP(c_List_Odistinct(_u19075), c_List_Oconcat(_u19075, _u19076))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u19075, tc_HOL_Obool)), hAPP(c_List_Oset(_u19075), skolem445(_u19076, _u19075))), hAPP(c_List_Oset(_u19075), skolem446(_u19076, _u19075))) != c_Orderings_Obot__class_Obot(tc_fun(_u19075, tc_HOL_Obool))) )).
% 39.92/40.16 cnf(matrix-7619, plain, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u19075)), _u19076)) | ~hBOOL(hAPP(c_List_Odistinct(_u19075), skolem444(_u19076, _u19075))) | hBOOL(hAPP(c_List_Odistinct(_u19075), c_List_Oconcat(_u19075, _u19076))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19075)), skolem445(_u19076, _u19075)), hAPP(c_List_Oset(tc_List_Olist(_u19075)), _u19076))) )).
% 39.92/40.16 cnf(matrix-7620, plain, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u19075)), _u19076)) | ~hBOOL(hAPP(c_List_Odistinct(_u19075), skolem444(_u19076, _u19075))) | hBOOL(hAPP(c_List_Odistinct(_u19075), c_List_Oconcat(_u19075, _u19076))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19075)), skolem446(_u19076, _u19075)), hAPP(c_List_Oset(tc_List_Olist(_u19075)), _u19076))) )).
% 39.92/40.16 cnf(matrix-7621, plain, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u19075)), _u19076)) | ~hBOOL(hAPP(c_List_Odistinct(_u19075), skolem444(_u19076, _u19075))) | hBOOL(hAPP(c_List_Odistinct(_u19075), c_List_Oconcat(_u19075, _u19076))) | ( skolem445(_u19076, _u19075) != skolem446(_u19076, _u19075)) )).
% 39.92/40.16 cnf(matrix-7622, plain, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u19075)), _u19076)) | ~hBOOL(hAPP(c_List_Odistinct(_u19075), skolem444(_u19076, _u19075))) | hBOOL(hAPP(c_List_Odistinct(_u19075), c_List_Oconcat(_u19075, _u19076))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u19075, tc_HOL_Obool)), hAPP(c_List_Oset(_u19075), skolem445(_u19076, _u19075))), hAPP(c_List_Oset(_u19075), skolem446(_u19076, _u19075))) != c_Orderings_Obot__class_Obot(tc_fun(_u19075, tc_HOL_Obool))) )).
% 39.92/40.16 cnf(matrix-7623, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(_u19077, _u19078)), hAPP(_u19077, _u19079))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19080, _u19080)), hAPP(hAPP(c_Product__Type_OPair(_u19080, _u19080), _u19078), _u19079)), c_List_Omeasures(_u19080, _u19081))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19080, _u19080)), hAPP(hAPP(c_Product__Type_OPair(_u19080, _u19080), _u19078), _u19079)), c_List_Omeasures(_u19080, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u19080, tc_Nat_Onat)), _u19077), _u19081)))) )).
% 39.92/40.16 cnf(matrix-7624, plain, ( c_Wellfounded_Owf(_u19082, c_List_Omeasures(_u19082, _u19083)) )).
% 39.92/40.16 cnf(matrix-7625, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19084, _u19084)), hAPP(hAPP(c_Product__Type_OPair(_u19084, _u19084), _u19085), _u19086)), c_List_Omeasures(_u19084, c_List_Olist_ONil(tc_fun(_u19084, tc_Nat_Onat))))) )).
% 39.92/40.16 cnf(matrix-7626, plain, ( ( c_List_Omeasures(_u19087, _u19088) = hAPP(hAPP(c_Relation_Oinv__image(tc_List_Olist(tc_Nat_Onat), _u19087), c_List_Olex(tc_Nat_Onat, c_Wellfounded_Oless__than)), hAPP(hAPP(c_COMBC(_u19087, tc_List_Olist(tc_fun(_u19087, tc_Nat_Onat)), tc_List_Olist(tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19087, tc_Nat_Onat), tc_Nat_Onat), tc_fun(tc_List_Olist(tc_fun(_u19087, tc_Nat_Onat)), tc_List_Olist(tc_Nat_Onat)), _u19087), c_List_Omap(tc_fun(_u19087, tc_Nat_Onat), tc_Nat_Onat)), hAPP(c_COMBC(tc_fun(_u19087, tc_Nat_Onat), _u19087, tc_Nat_Onat), c_COMBI(tc_fun(_u19087, tc_Nat_Onat))))), _u19088))) )).
% 39.92/40.16 cnf(matrix-7627, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u19089, _u19090)), hAPP(_u19089, _u19091))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19092, _u19092)), hAPP(hAPP(c_Product__Type_OPair(_u19092, _u19092), _u19090), _u19091)), c_List_Omeasures(_u19092, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u19092, tc_Nat_Onat)), _u19089), _u19093)))) )).
% 39.92/40.16 cnf(matrix-7628, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19099, _u19099)), hAPP(hAPP(c_Product__Type_OPair(_u19099, _u19099), _u19101), _u19103)), c_List_Omeasures(_u19099, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u19099, tc_Nat_Onat)), _u19105), _u19107)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u19105, _u19101)), hAPP(_u19105, _u19103))) | ( hAPP(_u19105, _u19101) = hAPP(_u19105, _u19103)) )).
% 39.92/40.16 cnf(matrix-7629, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19099, _u19099)), hAPP(hAPP(c_Product__Type_OPair(_u19099, _u19099), _u19101), _u19103)), c_List_Omeasures(_u19099, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u19099, tc_Nat_Onat)), _u19105), _u19107)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u19105, _u19101)), hAPP(_u19105, _u19103))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19099, _u19099)), hAPP(hAPP(c_Product__Type_OPair(_u19099, _u19099), _u19101), _u19103)), c_List_Omeasures(_u19099, _u19107))) )).
% 39.92/40.16 cnf(matrix-7630, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u19100, _u19100)), hAPP(hAPP(c_Product__Type_OPair(_u19100, _u19100), _u19102), _u19104)), c_List_Omeasures(_u19100, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u19100, tc_Nat_Onat)), _u19106), _u19108)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u19106, _u19102)), hAPP(_u19106, _u19104))) )).
% 39.92/40.16 cnf(matrix-7631, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u19100, _u19100)), hAPP(hAPP(c_Product__Type_OPair(_u19100, _u19100), _u19102), _u19104)), c_List_Omeasures(_u19100, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u19100, tc_Nat_Onat)), _u19106), _u19108)))) | ( hAPP(_u19106, _u19102) != hAPP(_u19106, _u19104)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19100, _u19100)), hAPP(hAPP(c_Product__Type_OPair(_u19100, _u19100), _u19102), _u19104)), c_List_Omeasures(_u19100, _u19108))) )).
% 39.92/40.16 cnf(matrix-7632, plain, ( ( _u19110 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u19111, tc_HOL_Obool), tc_HOL_Obool))) | c_Fun_Oinj__on(_u19111, _u19112, _u19113, c_Complete__Lattice_OInf__class_OInf(tc_fun(_u19111, tc_HOL_Obool), _u19110)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19111, tc_HOL_Obool)), skolem447(_u19113, _u19112, _u19111, _u19110)), _u19110)) )).
% 39.92/40.16 cnf(matrix-7633, plain, ( ( _u19110 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u19111, tc_HOL_Obool), tc_HOL_Obool))) | c_Fun_Oinj__on(_u19111, _u19112, _u19113, c_Complete__Lattice_OInf__class_OInf(tc_fun(_u19111, tc_HOL_Obool), _u19110)) | ~c_Fun_Oinj__on(_u19111, _u19112, _u19113, skolem447(_u19113, _u19112, _u19111, _u19110)) )).
% 39.92/40.16 cnf(matrix-7634, plain, ( ( _u19116 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u19115, tc_HOL_Obool), tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u19115, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u19115, tc_HOL_Obool), _u19116)), _u19117)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19115, tc_HOL_Obool)), skolem448(_u19117, _u19116, _u19115)), _u19116)) )).
% 39.92/40.16 cnf(matrix-7635, plain, ( ( _u19116 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u19115, tc_HOL_Obool), tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u19115, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u19115, tc_HOL_Obool), _u19116)), _u19117)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u19115, tc_HOL_Obool)), skolem448(_u19117, _u19116, _u19115)), _u19117)) )).
% 39.92/40.16 cnf(matrix-7636, plain, ( ( hAPP(c_List_Ofoldl(_u19121, _u19119, hAPP(c_COMBC(_u19119, _u19121, _u19121), _u19123), hAPP(_u19124, _u19126)), _u19120) = hAPP(_u19124, hAPP(c_List_Ofoldl(_u19122, _u19119, hAPP(c_COMBC(_u19119, _u19122, _u19122), _u19125), _u19126), _u19120))) | hBOOL(hAPP(hAPP(c_member(_u19119), skolem449(_u19126, _u19125, _u19124, _u19123, _u19122, _u19121, _u19120, _u19119)), hAPP(c_List_Oset(_u19119), _u19120))) )).
% 39.92/40.16 cnf(matrix-7637, plain, ( ( hAPP(c_List_Ofoldl(_u19121, _u19119, hAPP(c_COMBC(_u19119, _u19121, _u19121), _u19123), hAPP(_u19124, _u19126)), _u19120) = hAPP(_u19124, hAPP(c_List_Ofoldl(_u19122, _u19119, hAPP(c_COMBC(_u19119, _u19122, _u19122), _u19125), _u19126), _u19120))) | ( hAPP(c_Fun_Ocomp(_u19121, _u19121, _u19122, hAPP(_u19123, skolem449(_u19126, _u19125, _u19124, _u19123, _u19122, _u19121, _u19120, _u19119))), _u19124) != hAPP(c_Fun_Ocomp(_u19122, _u19121, _u19122, _u19124), hAPP(_u19125, skolem449(_u19126, _u19125, _u19124, _u19123, _u19122, _u19121, _u19120, _u19119)))) )).
% 39.92/40.16 cnf(matrix-7638, plain, ( ( _u19128 = c_Orderings_Obot__class_Obot(tc_fun(_u19129, tc_HOL_Obool))) | c_Fun_Oinj__on(_u19130, _u19131, _u19132, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u19129, tc_fun(_u19130, tc_HOL_Obool)), _u19128), _u19133)) | hBOOL(hAPP(hAPP(c_member(_u19129), skolem450(_u19133, _u19132, _u19131, _u19130, _u19129, _u19128)), _u19128)) )).
% 39.92/40.16 cnf(matrix-7639, plain, ( ( _u19128 = c_Orderings_Obot__class_Obot(tc_fun(_u19129, tc_HOL_Obool))) | c_Fun_Oinj__on(_u19130, _u19131, _u19132, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u19129, tc_fun(_u19130, tc_HOL_Obool)), _u19128), _u19133)) | ~c_Fun_Oinj__on(_u19130, _u19131, _u19132, hAPP(_u19133, skolem450(_u19133, _u19132, _u19131, _u19130, _u19129, _u19128))) )).
% 39.92/40.16 cnf(matrix-7640, plain, ( hBOOL(hAPP(_u19138, hAPP(hAPP(c_List_Ozip(_u19134, _u19136), _u19135), _u19137))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19134)), hAPP(hAPP(c_List_Otake(_u19134), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19134)), _u19135)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19136)), _u19137))), _u19135)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19136)), hAPP(hAPP(c_List_Otake(_u19136), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19134)), _u19135)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19136)), _u19137))), _u19137))) )).
% 39.92/40.16 cnf(matrix-7641, plain, ( hBOOL(hAPP(_u19138, hAPP(hAPP(c_List_Ozip(_u19134, _u19136), _u19135), _u19137))) | ~hBOOL(hAPP(_u19138, hAPP(hAPP(c_List_Ozip(_u19134, _u19136), hAPP(hAPP(c_List_Otake(_u19134), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19134)), _u19135)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19136)), _u19137))), _u19135)), hAPP(hAPP(c_List_Otake(_u19136), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19134)), _u19135)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19136)), _u19137))), _u19137)))) )).
% 39.92/40.16 cnf(matrix-7642, plain, ( ( hAPP(c_List_Oset(_u19140), hAPP(hAPP(c_List_Omap(tc_prod(_u19140, _u19141), _u19140), c_Product__Type_Ofst(_u19140, _u19141)), _u19142)) != hAPP(c_List_Oset(_u19140), hAPP(hAPP(c_List_Omap(tc_prod(_u19140, _u19141), _u19140), c_Product__Type_Ofst(_u19140, _u19141)), _u19143))) | ( hAPP(c_Map_Omap__of(_u19140, _u19141), _u19142) = hAPP(c_Map_Omap__of(_u19140, _u19141), _u19143)) | hBOOL(hAPP(hAPP(c_member(_u19140), skolem451(_u19143, _u19142, _u19141, _u19140)), hAPP(c_List_Oset(_u19140), hAPP(hAPP(c_List_Omap(tc_prod(_u19140, _u19141), _u19140), c_Product__Type_Ofst(_u19140, _u19141)), _u19142)))) )).
% 39.92/40.16 cnf(matrix-7643, plain, ( ( hAPP(c_List_Oset(_u19140), hAPP(hAPP(c_List_Omap(tc_prod(_u19140, _u19141), _u19140), c_Product__Type_Ofst(_u19140, _u19141)), _u19142)) != hAPP(c_List_Oset(_u19140), hAPP(hAPP(c_List_Omap(tc_prod(_u19140, _u19141), _u19140), c_Product__Type_Ofst(_u19140, _u19141)), _u19143))) | ( hAPP(c_Map_Omap__of(_u19140, _u19141), _u19142) = hAPP(c_Map_Omap__of(_u19140, _u19141), _u19143)) | ( hAPP(hAPP(c_Map_Omap__of(_u19140, _u19141), _u19142), skolem451(_u19143, _u19142, _u19141, _u19140)) != hAPP(hAPP(c_Map_Omap__of(_u19140, _u19141), _u19143), skolem451(_u19143, _u19142, _u19141, _u19140))) )).
% 39.92/40.16 cnf(matrix-7644, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19145), _u19146)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u19147), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u19145, tc_fun(_u19147, tc_HOL_Obool)), _u19146), _u19148))) | hBOOL(hAPP(hAPP(c_member(_u19145), skolem452(_u19148, _u19147, _u19146, _u19145)), _u19146)) )).
% 39.92/40.16 cnf(matrix-7645, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19145), _u19146)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u19147), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u19145, tc_fun(_u19147, tc_HOL_Obool)), _u19146), _u19148))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19147), hAPP(_u19148, skolem452(_u19148, _u19147, _u19146, _u19145)))) )).
% 39.92/40.16 cnf(matrix-7646, 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)), _u19151), _u19150) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem453(_u19151, _u19150)), _u19150)) )).
% 39.92/40.16 cnf(matrix-7647, 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)), _u19151), _u19150) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u19151), skolem453(_u19151, _u19150))) )).
% 39.92/40.16 cnf(matrix-7648, plain, ( ~c_Wellfounded_OwfP(_u19155, hAPP(_u19156, skolem454(_u19157, _u19156, _u19155))) | c_Wellfounded_OwfP(_u19155, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u19157, tc_fun(_u19155, tc_fun(_u19155, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u19157, tc_HOL_Obool))), _u19156)) | ( hAPP(_u19156, skolem455(_u19157, _u19156, _u19155)) != hAPP(_u19156, skolem456(_u19157, _u19156, _u19155))) )).
% 39.92/40.16 cnf(matrix-7649, plain, ( ~c_Wellfounded_OwfP(_u19155, hAPP(_u19156, skolem454(_u19157, _u19156, _u19155))) | c_Wellfounded_OwfP(_u19155, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u19157, tc_fun(_u19155, tc_fun(_u19155, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u19157, tc_HOL_Obool))), _u19156)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u19155, tc_HOL_Obool)), c_Predicate_ODomainP(_u19155, _u19155, hAPP(_u19156, skolem455(_u19157, _u19156, _u19155)))), c_Predicate_ORangeP(_u19155, _u19155, hAPP(_u19156, skolem456(_u19157, _u19156, _u19155)))) != c_Orderings_Obot__class_Obot(tc_fun(_u19155, tc_HOL_Obool))) )).
% 39.92/40.16 cnf(matrix-7650, plain, ( ( c_List_OdropWhile(_u19159, _u19161, hAPP(hAPP(c_List_Oappend(_u19159), _u19160), _u19162)) = c_List_OdropWhile(_u19159, _u19161, _u19162)) | hBOOL(hAPP(hAPP(c_member(_u19159), skolem457(_u19162, _u19161, _u19160, _u19159)), hAPP(c_List_Oset(_u19159), _u19160))) )).
% 39.92/40.16 cnf(matrix-7651, plain, ( ( c_List_OdropWhile(_u19159, _u19161, hAPP(hAPP(c_List_Oappend(_u19159), _u19160), _u19162)) = c_List_OdropWhile(_u19159, _u19161, _u19162)) | ~hBOOL(hAPP(_u19161, skolem457(_u19162, _u19161, _u19160, _u19159))) )).
% 39.92/40.16 cnf(matrix-7652, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19164)), _u19165) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19166)), _u19167)) | c_List_Olist__all2(_u19164, _u19166, _u19168, _u19165, _u19167) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem458(_u19168, _u19167, _u19166, _u19165, _u19164)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19164)), _u19165))) )).
% 39.92/40.16 cnf(matrix-7653, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19164)), _u19165) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19166)), _u19167)) | c_List_Olist__all2(_u19164, _u19166, _u19168, _u19165, _u19167) | ~hBOOL(hAPP(hAPP(_u19168, hAPP(hAPP(c_List_Onth(_u19164), _u19165), skolem458(_u19168, _u19167, _u19166, _u19165, _u19164))), hAPP(hAPP(c_List_Onth(_u19166), _u19167), skolem458(_u19168, _u19167, _u19166, _u19165, _u19164)))) )).
% 39.92/40.16 cnf(matrix-7654, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19170), c_Map_Odom(_u19170, _u19171, _u19172))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u19170), c_Orderings_Otop__class_Otop(tc_fun(_u19170, tc_HOL_Obool)))) | ( hAPP(_u19172, skolem459(_u19172, _u19171, _u19170)) = c_Option_Ooption_ONone(_u19171)) )).
% 39.92/40.16 cnf(matrix-7655, plain, ( hBOOL(hAPP(hAPP(c_member(_u19178), _u19179), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u19176, _u19177, tc_fun(_u19178, tc_HOL_Obool)), _u19180), _u19175))) | ( _u19175 = hAPP(hAPP(c_Product__Type_OPair(_u19176, _u19177), skolem460(_u19180, _u19179, _u19178, _u19177, _u19176, _u19175)), skolem461(_u19180, _u19179, _u19178, _u19177, _u19176, _u19175))) )).
% 39.92/40.16 cnf(matrix-7656, plain, ( hBOOL(hAPP(hAPP(c_member(_u19178), _u19179), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u19176, _u19177, tc_fun(_u19178, tc_HOL_Obool)), _u19180), _u19175))) | ~hBOOL(hAPP(hAPP(c_member(_u19178), _u19179), hAPP(hAPP(_u19180, skolem460(_u19180, _u19179, _u19178, _u19177, _u19176, _u19175)), skolem461(_u19180, _u19179, _u19178, _u19177, _u19176, _u19175)))) )).
% 39.92/40.16 cnf(matrix-7657, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19183), _u19184), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u19185, _u19186, tc_fun(_u19183, tc_HOL_Obool)), _u19187), _u19188))) | ( _u19188 = hAPP(hAPP(c_Product__Type_OPair(_u19185, _u19186), skolem462(_u19188, _u19187, _u19186, _u19185, _u19184, _u19183)), skolem463(_u19188, _u19187, _u19186, _u19185, _u19184, _u19183))) )).
% 39.92/40.16 cnf(matrix-7658, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19183), _u19184), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u19185, _u19186, tc_fun(_u19183, tc_HOL_Obool)), _u19187), _u19188))) | hBOOL(hAPP(hAPP(c_member(_u19183), _u19184), hAPP(hAPP(_u19187, skolem462(_u19188, _u19187, _u19186, _u19185, _u19184, _u19183)), skolem463(_u19188, _u19187, _u19186, _u19185, _u19184, _u19183)))) )).
% 39.92/40.16 cnf(matrix-7659, plain, ( ~class_Orderings_Olinorder(_u19191) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19191), _u19192)) | ( hAPP(c_List_Oset(_u19191), skolem464(_u19192, _u19191)) = _u19192) )).
% 39.92/40.16 cnf(matrix-7660, plain, ( ~class_Orderings_Olinorder(_u19191) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19191), _u19192)) | c_List_Olinorder__class_Osorted(_u19191, skolem464(_u19192, _u19191)) )).
% 39.92/40.16 cnf(matrix-7661, plain, ( ~class_Orderings_Olinorder(_u19191) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19191), _u19192)) | hBOOL(hAPP(c_List_Odistinct(_u19191), skolem464(_u19192, _u19191))) )).
% 39.92/40.16 cnf(matrix-7662, plain, ( ~class_Orderings_Olinorder(_u19191) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19191), _u19192)) | ( hAPP(c_List_Oset(_u19191), _u19189) != _u19192) | ~c_List_Olinorder__class_Osorted(_u19191, _u19189) | ~hBOOL(hAPP(c_List_Odistinct(_u19191), _u19189)) | ( _u19189 = skolem464(_u19192, _u19191)) )).
% 39.92/40.16 cnf(matrix-7663, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19194, tc_Nat_Onat), _u19195), _u19196) != hAPP(c_Nat_OSuc, _u19197)) | hBOOL(hAPP(hAPP(c_member(_u19194), skolem465(_u19197, _u19196, _u19195, _u19194)), _u19196)) )).
% 39.92/40.16 cnf(matrix-7664, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19194, tc_Nat_Onat), _u19195), _u19196) != hAPP(c_Nat_OSuc, _u19197)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u19195, skolem465(_u19197, _u19196, _u19195, _u19194)))) )).
% 39.92/40.16 cnf(matrix-7665, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u19199, _u19200) != c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u19201, _u19200)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u19201), _u19199)) | ( _u19199 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u19201), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u19200), skolem466(_u19201, _u19200, _u19199)))) )).
% 39.92/40.16 cnf(matrix-7666, plain, ( ( c_List_OtakeWhile(_u19203, _u19205, hAPP(hAPP(c_List_Oappend(_u19203), _u19204), _u19206)) = hAPP(hAPP(c_List_Oappend(_u19203), _u19204), c_List_OtakeWhile(_u19203, _u19205, _u19206))) | hBOOL(hAPP(hAPP(c_member(_u19203), skolem467(_u19206, _u19205, _u19204, _u19203)), hAPP(c_List_Oset(_u19203), _u19204))) )).
% 39.92/40.16 cnf(matrix-7667, plain, ( ( c_List_OtakeWhile(_u19203, _u19205, hAPP(hAPP(c_List_Oappend(_u19203), _u19204), _u19206)) = hAPP(hAPP(c_List_Oappend(_u19203), _u19204), c_List_OtakeWhile(_u19203, _u19205, _u19206))) | ~hBOOL(hAPP(_u19205, skolem467(_u19206, _u19205, _u19204, _u19203))) )).
% 39.92/40.16 cnf(matrix-7668, plain, ( ~class_Orderings_Olinorder(_u19208) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u19209, _u19208, _u19211), _u19212), _u19210) = hAPP(hAPP(c_List_Olist_OCons(_u19209), _u19212), _u19210)) | hBOOL(hAPP(hAPP(c_member(_u19209), skolem468(_u19212, _u19211, _u19210, _u19209, _u19208)), hAPP(c_List_Oset(_u19209), _u19210))) )).
% 39.92/40.16 cnf(matrix-7669, plain, ( ~class_Orderings_Olinorder(_u19208) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u19209, _u19208, _u19211), _u19212), _u19210) = hAPP(hAPP(c_List_Olist_OCons(_u19209), _u19212), _u19210)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19208), hAPP(_u19211, _u19212)), hAPP(_u19211, skolem468(_u19212, _u19211, _u19210, _u19209, _u19208)))) )).
% 39.92/40.16 cnf(matrix-7670, plain, ( c_Wellfounded_Owf(_u19214, _u19215) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u19214, tc_HOL_Obool)), skolem469(_u19215, _u19214)), hAPP(c_Relation_OImage(_u19214, _u19214, _u19215), skolem469(_u19215, _u19214)))) )).
% 39.92/40.16 cnf(matrix-7671, plain, ( c_Wellfounded_Owf(_u19214, _u19215) | ( skolem469(_u19215, _u19214) != c_Orderings_Obot__class_Obot(tc_fun(_u19214, tc_HOL_Obool))) )).
% 39.92/40.16 cnf(matrix-7672, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u19227), _u19229), _u19231) != hAPP(c_List_Ofilter(_u19227, _u19233), _u19235)) | hBOOL(hAPP(_u19233, _u19229)) )).
% 39.92/40.16 cnf(matrix-7673, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u19227), _u19229), _u19231) != hAPP(c_List_Ofilter(_u19227, _u19233), _u19235)) | ~hBOOL(hAPP(hAPP(c_member(_u19227), _u19216), hAPP(c_List_Oset(_u19227), skolem470(_u19235, _u19233, _u19231, _u19229, _u19227)))) | ~hBOOL(hAPP(_u19233, _u19216)) )).
% 39.92/40.16 cnf(matrix-7674, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u19227), _u19229), _u19231) != hAPP(c_List_Ofilter(_u19227, _u19233), _u19235)) | ( _u19235 = hAPP(hAPP(c_List_Oappend(_u19227), skolem470(_u19235, _u19233, _u19231, _u19229, _u19227)), hAPP(hAPP(c_List_Olist_OCons(_u19227), _u19229), skolem471(_u19235, _u19233, _u19231, _u19229, _u19227)))) )).
% 39.92/40.16 cnf(matrix-7675, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u19227), _u19229), _u19231) != hAPP(c_List_Ofilter(_u19227, _u19233), _u19235)) | ( _u19231 = hAPP(c_List_Ofilter(_u19227, _u19233), skolem471(_u19235, _u19233, _u19231, _u19229, _u19227))) )).
% 39.92/40.16 cnf(matrix-7676, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u19228), _u19230), _u19232) = hAPP(c_List_Ofilter(_u19228, _u19234), _u19236)) | ~hBOOL(hAPP(_u19234, _u19230)) | ( _u19236 != hAPP(hAPP(c_List_Oappend(_u19228), _u19221), hAPP(hAPP(c_List_Olist_OCons(_u19228), _u19230), _u19220))) | ( _u19232 != hAPP(c_List_Ofilter(_u19228, _u19234), _u19220)) | hBOOL(hAPP(hAPP(c_member(_u19228), skolem472(_u19236, _u19234, _u19232, _u19230, _u19228, _u19221)), hAPP(c_List_Oset(_u19228), _u19221))) )).
% 39.92/40.16 cnf(matrix-7677, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u19228), _u19230), _u19232) = hAPP(c_List_Ofilter(_u19228, _u19234), _u19236)) | ~hBOOL(hAPP(_u19234, _u19230)) | ( _u19236 != hAPP(hAPP(c_List_Oappend(_u19228), _u19221), hAPP(hAPP(c_List_Olist_OCons(_u19228), _u19230), _u19220))) | ( _u19232 != hAPP(c_List_Ofilter(_u19228, _u19234), _u19220)) | hBOOL(hAPP(_u19234, skolem472(_u19236, _u19234, _u19232, _u19230, _u19228, _u19221))) )).
% 39.92/40.16 cnf(matrix-7678, plain, ( ( hAPP(c_List_Ofilter(_u19248, _u19250), _u19252) != hAPP(hAPP(c_List_Olist_OCons(_u19248), _u19254), _u19256)) | hBOOL(hAPP(_u19250, _u19254)) )).
% 39.92/40.16 cnf(matrix-7679, plain, ( ( hAPP(c_List_Ofilter(_u19248, _u19250), _u19252) != hAPP(hAPP(c_List_Olist_OCons(_u19248), _u19254), _u19256)) | ~hBOOL(hAPP(hAPP(c_member(_u19248), _u19237), hAPP(c_List_Oset(_u19248), skolem473(_u19256, _u19254, _u19252, _u19250, _u19248)))) | ~hBOOL(hAPP(_u19250, _u19237)) )).
% 39.92/40.16 cnf(matrix-7680, plain, ( ( hAPP(c_List_Ofilter(_u19248, _u19250), _u19252) != hAPP(hAPP(c_List_Olist_OCons(_u19248), _u19254), _u19256)) | ( _u19252 = hAPP(hAPP(c_List_Oappend(_u19248), skolem473(_u19256, _u19254, _u19252, _u19250, _u19248)), hAPP(hAPP(c_List_Olist_OCons(_u19248), _u19254), skolem474(_u19256, _u19254, _u19252, _u19250, _u19248)))) )).
% 39.92/40.16 cnf(matrix-7681, plain, ( ( hAPP(c_List_Ofilter(_u19248, _u19250), _u19252) != hAPP(hAPP(c_List_Olist_OCons(_u19248), _u19254), _u19256)) | ( _u19256 = hAPP(c_List_Ofilter(_u19248, _u19250), skolem474(_u19256, _u19254, _u19252, _u19250, _u19248))) )).
% 39.92/40.16 cnf(matrix-7682, plain, ( ( hAPP(c_List_Ofilter(_u19249, _u19251), _u19253) = hAPP(hAPP(c_List_Olist_OCons(_u19249), _u19255), _u19257)) | ~hBOOL(hAPP(_u19251, _u19255)) | ( _u19253 != hAPP(hAPP(c_List_Oappend(_u19249), _u19242), hAPP(hAPP(c_List_Olist_OCons(_u19249), _u19255), _u19241))) | ( _u19257 != hAPP(c_List_Ofilter(_u19249, _u19251), _u19241)) | hBOOL(hAPP(hAPP(c_member(_u19249), skolem475(_u19257, _u19255, _u19253, _u19251, _u19249, _u19242)), hAPP(c_List_Oset(_u19249), _u19242))) )).
% 39.92/40.16 cnf(matrix-7683, plain, ( ( hAPP(c_List_Ofilter(_u19249, _u19251), _u19253) = hAPP(hAPP(c_List_Olist_OCons(_u19249), _u19255), _u19257)) | ~hBOOL(hAPP(_u19251, _u19255)) | ( _u19253 != hAPP(hAPP(c_List_Oappend(_u19249), _u19242), hAPP(hAPP(c_List_Olist_OCons(_u19249), _u19255), _u19241))) | ( _u19257 != hAPP(c_List_Ofilter(_u19249, _u19251), _u19241)) | hBOOL(hAPP(_u19251, skolem475(_u19257, _u19255, _u19253, _u19251, _u19249, _u19242))) )).
% 39.92/40.16 cnf(matrix-7684, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u19259, tc_HOL_Obool)), _u19260), _u19261)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u19259, _u19262), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u19259, _u19262), _u19260), _u19263)), hAPP(hAPP(c_Product__Type_OSigma(_u19259, _u19262), _u19261), _u19264))) | hBOOL(hAPP(hAPP(c_member(_u19259), skolem476(_u19264, _u19263, _u19262, _u19261, _u19260, _u19259)), _u19260)) )).
% 39.92/40.16 cnf(matrix-7685, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u19259, tc_HOL_Obool)), _u19260), _u19261)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u19259, _u19262), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u19259, _u19262), _u19260), _u19263)), hAPP(hAPP(c_Product__Type_OSigma(_u19259, _u19262), _u19261), _u19264))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u19262, tc_HOL_Obool)), hAPP(_u19263, skolem476(_u19264, _u19263, _u19262, _u19261, _u19260, _u19259))), hAPP(_u19264, skolem476(_u19264, _u19263, _u19262, _u19261, _u19260, _u19259)))) )).
% 39.92/40.16 cnf(matrix-7686, plain, ( hBOOL(hAPP(hAPP(c_member(_u19266), _u19267), c_Wellfounded_Oacc(_u19266, _u19268))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19266, _u19266)), hAPP(hAPP(c_Product__Type_OPair(_u19266, _u19266), skolem477(_u19268, _u19267, _u19266)), _u19267)), _u19268)) )).
% 39.92/40.16 cnf(matrix-7687, plain, ( hBOOL(hAPP(hAPP(c_member(_u19266), _u19267), c_Wellfounded_Oacc(_u19266, _u19268))) | ~hBOOL(hAPP(hAPP(c_member(_u19266), skolem477(_u19268, _u19267, _u19266)), c_Wellfounded_Oacc(_u19266, _u19268))) )).
% 39.92/40.16 cnf(matrix-7688, plain, ( hBOOL(hAPP(hAPP(c_member(_u19270), _u19271), c_Wellfounded_Oacc(_u19270, _u19272))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19270, _u19270)), hAPP(hAPP(c_Product__Type_OPair(_u19270, _u19270), skolem478(_u19272, _u19271, _u19270)), _u19271)), _u19272)) )).
% 39.92/40.16 cnf(matrix-7689, plain, ( hBOOL(hAPP(hAPP(c_member(_u19270), _u19271), c_Wellfounded_Oacc(_u19270, _u19272))) | ~hBOOL(hAPP(hAPP(c_member(_u19270), skolem478(_u19272, _u19271, _u19270)), c_Wellfounded_Oacc(_u19270, _u19272))) )).
% 39.92/40.16 cnf(matrix-7690, plain, ( ~class_Groups_Ocomm__monoid__mult(_u19274) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19275), _u19276)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u19274, _u19275, c_Groups_Otimes__class_Otimes(_u19274)), _u19277), c_Groups_Oone__class_Oone(_u19274)), _u19276) = c_Groups_Oone__class_Oone(_u19274)) | hBOOL(hAPP(hAPP(c_member(_u19275), skolem479(_u19277, _u19276, _u19275, _u19274)), _u19276)) )).
% 39.92/40.16 cnf(matrix-7691, plain, ( ~class_Groups_Ocomm__monoid__mult(_u19274) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19275), _u19276)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u19274, _u19275, c_Groups_Otimes__class_Otimes(_u19274)), _u19277), c_Groups_Oone__class_Oone(_u19274)), _u19276) = c_Groups_Oone__class_Oone(_u19274)) | ( hAPP(_u19277, skolem479(_u19277, _u19276, _u19275, _u19274)) != c_Groups_Oone__class_Oone(_u19274)) )).
% 39.92/40.16 cnf(matrix-7692, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19279), _u19280)) | ( hAPP(c_Finite__Set_Ocard(_u19279), _u19280) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u19279), skolem480(_u19280, _u19279)), _u19280)) )).
% 39.92/40.16 cnf(matrix-7693, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19279), _u19280)) | ( hAPP(c_Finite__Set_Ocard(_u19279), _u19280) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.92/40.16 cnf(matrix-7694, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u19289, tc_HOL_Obool), tc_fun(_u19289, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u19289, tc_HOL_Obool), tc_fun(_u19289, tc_HOL_Obool)), _u19291), _u19293)), c_Wellfounded_Omax__ext(_u19289, _u19295))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u19289), _u19291)) )).
% 39.92/40.16 cnf(matrix-7695, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u19289, tc_HOL_Obool), tc_fun(_u19289, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u19289, tc_HOL_Obool), tc_fun(_u19289, tc_HOL_Obool)), _u19291), _u19293)), c_Wellfounded_Omax__ext(_u19289, _u19295))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u19289), _u19293)) )).
% 39.92/40.16 cnf(matrix-7696, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u19289, tc_HOL_Obool), tc_fun(_u19289, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u19289, tc_HOL_Obool), tc_fun(_u19289, tc_HOL_Obool)), _u19291), _u19293)), c_Wellfounded_Omax__ext(_u19289, _u19295))) | ( _u19293 != c_Orderings_Obot__class_Obot(tc_fun(_u19289, tc_HOL_Obool))) )).
% 39.92/40.16 cnf(matrix-7697, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u19289, tc_HOL_Obool), tc_fun(_u19289, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u19289, tc_HOL_Obool), tc_fun(_u19289, tc_HOL_Obool)), _u19291), _u19293)), c_Wellfounded_Omax__ext(_u19289, _u19295))) | ~hBOOL(hAPP(hAPP(c_member(_u19289), _u19282), _u19291)) | hBOOL(hAPP(hAPP(c_member(_u19289), skolem481(_u19295, _u19293, _u19291, _u19289, _u19282)), _u19293)) )).
% 39.92/40.16 cnf(matrix-7698, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u19289, tc_HOL_Obool), tc_fun(_u19289, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u19289, tc_HOL_Obool), tc_fun(_u19289, tc_HOL_Obool)), _u19291), _u19293)), c_Wellfounded_Omax__ext(_u19289, _u19295))) | ~hBOOL(hAPP(hAPP(c_member(_u19289), _u19282), _u19291)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19289, _u19289)), hAPP(hAPP(c_Product__Type_OPair(_u19289, _u19289), _u19282), skolem481(_u19295, _u19293, _u19291, _u19289, _u19282))), _u19295)) )).
% 39.92/40.16 cnf(matrix-7699, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u19290, tc_HOL_Obool), tc_fun(_u19290, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u19290, tc_HOL_Obool), tc_fun(_u19290, tc_HOL_Obool)), _u19292), _u19294)), c_Wellfounded_Omax__ext(_u19290, _u19296))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19290), _u19292)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19290), _u19294)) | ( _u19294 = c_Orderings_Obot__class_Obot(tc_fun(_u19290, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u19290), skolem482(_u19296, _u19294, _u19292, _u19290)), _u19292)) )).
% 39.92/40.16 cnf(matrix-7700, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u19290, tc_HOL_Obool), tc_fun(_u19290, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u19290, tc_HOL_Obool), tc_fun(_u19290, tc_HOL_Obool)), _u19292), _u19294)), c_Wellfounded_Omax__ext(_u19290, _u19296))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19290), _u19292)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19290), _u19294)) | ( _u19294 = c_Orderings_Obot__class_Obot(tc_fun(_u19290, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u19290), _u19283), _u19294)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19290, _u19290)), hAPP(hAPP(c_Product__Type_OPair(_u19290, _u19290), skolem482(_u19296, _u19294, _u19292, _u19290)), _u19283)), _u19296)) )).
% 39.92/40.16 cnf(matrix-7701, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19298), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19299)), _u19300))) | hBOOL(hAPP(_u19301, hAPP(hAPP(c_List_Onth(_u19299), _u19300), _u19298))) | hBOOL(hAPP(hAPP(c_member(_u19299), skolem483(_u19301, _u19300, _u19299, _u19298)), hAPP(c_List_Oset(_u19299), _u19300))) )).
% 39.92/40.16 cnf(matrix-7702, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19298), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19299)), _u19300))) | hBOOL(hAPP(_u19301, hAPP(hAPP(c_List_Onth(_u19299), _u19300), _u19298))) | ~hBOOL(hAPP(_u19301, skolem483(_u19301, _u19300, _u19299, _u19298))) )).
% 39.92/40.16 cnf(matrix-7703, plain, ( ~hBOOL(hAPP(_u19304, _u19305)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19305), _u19303)) | hBOOL(hAPP(_u19304, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem484(_u19305, _u19304, _u19303)), _u19303)) )).
% 39.92/40.16 cnf(matrix-7704, plain, ( ~hBOOL(hAPP(_u19304, _u19305)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19305), _u19303)) | hBOOL(hAPP(_u19304, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(_u19304, skolem484(_u19305, _u19304, _u19303))) )).
% 39.92/40.16 cnf(matrix-7705, plain, ( ~hBOOL(hAPP(_u19304, _u19305)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19305), _u19303)) | hBOOL(hAPP(_u19304, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u19304, c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, skolem484(_u19305, _u19304, _u19303)), _u19303))) )).
% 39.92/40.16 cnf(matrix-7706, plain, ( ~class_Orderings_Olinorder(_u19307) | ~c_List_Olinorder__class_Osorted(_u19307, _u19308) | c_List_Olinorder__class_Osorted(_u19307, hAPP(hAPP(c_List_Olist_OCons(_u19307), _u19309), _u19308)) | hBOOL(hAPP(hAPP(c_member(_u19307), skolem485(_u19309, _u19308, _u19307)), hAPP(c_List_Oset(_u19307), _u19308))) )).
% 39.92/40.16 cnf(matrix-7707, plain, ( ~class_Orderings_Olinorder(_u19307) | ~c_List_Olinorder__class_Osorted(_u19307, _u19308) | c_List_Olinorder__class_Osorted(_u19307, hAPP(hAPP(c_List_Olist_OCons(_u19307), _u19309), _u19308)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19307), _u19309), skolem485(_u19309, _u19308, _u19307))) )).
% 39.92/40.16 cnf(matrix-7708, plain, ( hBOOL(hAPP(hAPP(c_member(_u19311), _u19313), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u19311, tc_HOL_Obool), _u19312))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19311, tc_HOL_Obool)), skolem486(_u19313, _u19312, _u19311)), _u19312)) )).
% 39.92/40.16 cnf(matrix-7709, plain, ( hBOOL(hAPP(hAPP(c_member(_u19311), _u19313), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u19311, tc_HOL_Obool), _u19312))) | ~hBOOL(hAPP(hAPP(c_member(_u19311), _u19313), skolem486(_u19313, _u19312, _u19311))) )).
% 39.92/40.16 cnf(matrix-7710, plain, ( ~class_Groups_Oab__semigroup__mult(_u19315) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19316), _u19317)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u19315, _u19316, c_Groups_Otimes__class_Otimes(_u19315)), _u19318), _u19320), _u19317) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u19315, _u19316, c_Groups_Otimes__class_Otimes(_u19315)), _u19319), _u19320), _u19317)) | hBOOL(hAPP(hAPP(c_member(_u19316), skolem487(_u19320, _u19319, _u19318, _u19317, _u19316, _u19315)), _u19317)) )).
% 39.92/40.16 cnf(matrix-7711, plain, ( ~class_Groups_Oab__semigroup__mult(_u19315) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19316), _u19317)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u19315, _u19316, c_Groups_Otimes__class_Otimes(_u19315)), _u19318), _u19320), _u19317) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u19315, _u19316, c_Groups_Otimes__class_Otimes(_u19315)), _u19319), _u19320), _u19317)) | ( hAPP(_u19318, skolem487(_u19320, _u19319, _u19318, _u19317, _u19316, _u19315)) != hAPP(_u19319, skolem487(_u19320, _u19319, _u19318, _u19317, _u19316, _u19315))) )).
% 39.92/40.16 cnf(matrix-7712, plain, ( ~class_Orderings_Olinorder(_u19322) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19322), _u19323)) | ~hBOOL(hAPP(hAPP(c_member(_u19322), _u19324), _u19323)) | ( c_Big__Operators_Olinorder__class_OMax(_u19322, _u19323) = _u19324) | hBOOL(hAPP(hAPP(c_member(_u19322), skolem488(_u19324, _u19323, _u19322)), _u19323)) )).
% 39.92/40.16 cnf(matrix-7713, plain, ( ~class_Orderings_Olinorder(_u19322) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19322), _u19323)) | ~hBOOL(hAPP(hAPP(c_member(_u19322), _u19324), _u19323)) | ( c_Big__Operators_Olinorder__class_OMax(_u19322, _u19323) = _u19324) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19322), skolem488(_u19324, _u19323, _u19322)), _u19324)) )).
% 39.92/40.16 cnf(matrix-7714, plain, ( ~class_Orderings_Olinorder(_u19326) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19326), _u19327)) | ~hBOOL(hAPP(hAPP(c_member(_u19326), _u19328), _u19327)) | ( c_Big__Operators_Olinorder__class_OMin(_u19326, _u19327) = _u19328) | hBOOL(hAPP(hAPP(c_member(_u19326), skolem489(_u19328, _u19327, _u19326)), _u19327)) )).
% 39.92/40.16 cnf(matrix-7715, plain, ( ~class_Orderings_Olinorder(_u19326) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19326), _u19327)) | ~hBOOL(hAPP(hAPP(c_member(_u19326), _u19328), _u19327)) | ( c_Big__Operators_Olinorder__class_OMin(_u19326, _u19327) = _u19328) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19326), _u19328), skolem489(_u19328, _u19327, _u19326))) )).
% 39.92/40.16 cnf(matrix-7716, plain, ( ~c_Wellfounded_Owf(_u19330, _u19331) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19330, _u19330)), hAPP(hAPP(c_Product__Type_OPair(_u19330, _u19330), hAPP(_u19332, hAPP(c_Nat_OSuc, skolem490(_u19332, _u19331, _u19330)))), hAPP(_u19332, skolem490(_u19332, _u19331, _u19330)))), _u19331)) )).
% 39.92/40.16 cnf(matrix-7717, plain, ( ~c_List_Olist__ex(_u19338, _u19340, _u19342) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem491(_u19342, _u19340, _u19338)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19338)), _u19342))) )).
% 39.92/40.16 cnf(matrix-7718, plain, ( ~c_List_Olist__ex(_u19338, _u19340, _u19342) | hBOOL(hAPP(_u19340, hAPP(hAPP(c_List_Onth(_u19338), _u19342), skolem491(_u19342, _u19340, _u19338)))) )).
% 39.92/40.16 cnf(matrix-7719, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19334), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19339)), _u19343))) | ~hBOOL(hAPP(_u19341, hAPP(hAPP(c_List_Onth(_u19339), _u19343), _u19334))) | c_List_Olist__ex(_u19339, _u19341, _u19343) )).
% 39.92/40.16 cnf(matrix-7720, plain, ( ( hAPP(hAPP(hAPP(c_Product__Type_Oscomp(_u19344, _u19345, _u19346, _u19347), _u19348), _u19349), _u19350) = hAPP(hAPP(_u19349, hAPP(c_Product__Type_Ofst(_u19345, _u19346), hAPP(_u19348, _u19350))), hAPP(c_Product__Type_Osnd(_u19345, _u19346), hAPP(_u19348, _u19350)))) )).
% 39.92/40.16 cnf(matrix-7721, plain, ( ~c_List_Olist__ex(_u19355, _u19357, hAPP(hAPP(c_List_Olist_OCons(_u19355), _u19359), _u19361)) | hBOOL(hAPP(_u19357, _u19359)) | c_List_Olist__ex(_u19355, _u19357, _u19361) )).
% 39.92/40.16 cnf(matrix-7722, plain, ( c_List_Olist__ex(_u19356, _u19358, hAPP(hAPP(c_List_Olist_OCons(_u19356), _u19360), _u19362)) | ~hBOOL(hAPP(_u19358, _u19360)) )).
% 39.92/40.16 cnf(matrix-7723, plain, ( c_List_Olist__ex(_u19356, _u19358, hAPP(hAPP(c_List_Olist_OCons(_u19356), _u19360), _u19362)) | ~c_List_Olist__ex(_u19356, _u19358, _u19362) )).
% 39.92/40.16 cnf(matrix-7724, plain, ( ~c_List_Olist__ex(_u19367, _u19369, hAPP(hAPP(c_List_Oappend(_u19367), _u19371), _u19373)) | c_List_Olist__ex(_u19367, _u19369, _u19371) | c_List_Olist__ex(_u19367, _u19369, _u19373) )).
% 39.92/40.16 cnf(matrix-7725, plain, ( c_List_Olist__ex(_u19368, _u19370, hAPP(hAPP(c_List_Oappend(_u19368), _u19372), _u19374)) | ~c_List_Olist__ex(_u19368, _u19370, _u19372) )).
% 39.92/40.16 cnf(matrix-7726, plain, ( c_List_Olist__ex(_u19368, _u19370, hAPP(hAPP(c_List_Oappend(_u19368), _u19372), _u19374)) | ~c_List_Olist__ex(_u19368, _u19370, _u19374) )).
% 39.92/40.16 cnf(matrix-7727, plain, ( ( hAPP(hAPP(c_Product__Type_Oscomp(_u19375, _u19376, _u19377, _u19378), hAPP(hAPP(c_Product__Type_Oscomp(_u19375, _u19379, _u19380, tc_prod(_u19376, _u19377)), _u19381), _u19382)), _u19383) = hAPP(hAPP(c_Product__Type_Oscomp(_u19375, _u19379, _u19380, _u19378), _u19381), hAPP(hAPP(c_COMBC(_u19379, tc_fun(_u19376, tc_fun(_u19377, _u19378)), tc_fun(_u19380, _u19378)), hAPP(hAPP(c_COMBB(tc_fun(_u19380, tc_prod(_u19376, _u19377)), tc_fun(tc_fun(_u19376, tc_fun(_u19377, _u19378)), tc_fun(_u19380, _u19378)), _u19379), c_Product__Type_Oscomp(_u19380, _u19376, _u19377, _u19378)), _u19382)), _u19383))) )).
% 39.92/40.16 cnf(matrix-7728, plain, ( ( hAPP(hAPP(c_Product__Type_Oscomp(_u19384, _u19385, _u19386, tc_prod(_u19385, _u19386)), _u19387), c_Product__Type_OPair(_u19385, _u19386)) = _u19387) )).
% 39.92/40.16 cnf(matrix-7729, plain, ( ( hAPP(hAPP(c_Product__Type_Oscomp(_u19388, _u19389, _u19388, _u19390), hAPP(c_Product__Type_OPair(_u19389, _u19388), _u19391)), _u19392) = hAPP(_u19392, _u19391)) )).
% 39.92/40.16 cnf(matrix-7730, plain, ( ~c_List_Olist__ex(_u19398, _u19400, _u19402) | hBOOL(hAPP(hAPP(c_member(_u19398), skolem492(_u19402, _u19400, _u19398)), hAPP(c_List_Oset(_u19398), _u19402))) )).
% 39.92/40.16 cnf(matrix-7731, plain, ( ~c_List_Olist__ex(_u19398, _u19400, _u19402) | hBOOL(hAPP(_u19400, skolem492(_u19402, _u19400, _u19398))) )).
% 39.92/40.16 cnf(matrix-7732, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19399), _u19394), hAPP(c_List_Oset(_u19399), _u19403))) | ~hBOOL(hAPP(_u19401, _u19394)) | c_List_Olist__ex(_u19399, _u19401, _u19403) )).
% 39.92/40.16 cnf(matrix-7733, plain, ( ( hAPP(hAPP(hAPP(c_Product__Type_Oscomp(_u19404, _u19405, _u19406, _u19407), _u19408), _u19409), _u19410) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u19405, _u19406, _u19407), _u19409), hAPP(_u19408, _u19410))) )).
% 39.92/40.16 cnf(matrix-7734, plain, ( ( hAPP(hAPP(hAPP(c_Product__Type_Oscomp(_u19411, _u19412, _u19413, _u19414), _u19415), _u19416), _u19417) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u19412, _u19413, _u19414), _u19416), hAPP(_u19415, _u19417))) )).
% 39.92/40.16 cnf(matrix-7735, plain, ( ~c_List_Olist__ex(_u19421, _u19423, hAPP(c_List_Orev(_u19421), _u19425)) | c_List_Olist__ex(_u19421, _u19423, _u19425) )).
% 39.92/40.16 cnf(matrix-7736, plain, ( ~c_List_Olist__ex(_u19422, _u19424, _u19426) | c_List_Olist__ex(_u19422, _u19424, hAPP(c_List_Orev(_u19422), _u19426)) )).
% 39.92/40.16 cnf(matrix-7737, plain, ( ~c_List_Olist__ex(_u19427, _u19428, c_List_Olist_ONil(_u19427)) )).
% 39.92/40.16 cnf(matrix-7738, plain, ( ( _u19434 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_Random_Oiterate(_u19436, _u19438, _u19434, _u19440), _u19442) = hAPP(c_Product__Type_OPair(_u19436, _u19438), _u19442)) )).
% 39.92/40.16 cnf(matrix-7739, plain, ( ( _u19435 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_Random_Oiterate(_u19437, _u19439, _u19435, _u19441), _u19443) = hAPP(hAPP(c_Product__Type_Oscomp(_u19439, _u19437, _u19439, tc_prod(_u19437, _u19439)), hAPP(_u19441, _u19443)), c_Random_Oiterate(_u19437, _u19439, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u19435), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)), _u19441))) )).
% 39.92/40.16 cnf(matrix-7740, plain, ( ~class_Groups_Ocomm__monoid__add(_u19445) | ~class_Orderings_Oord(_u19446) | ( _u19447 != _u19448) | ( _u19449 != _u19450) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19446, _u19445), _u19451), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u19446, _u19447), _u19449)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19446, _u19445), _u19452), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u19446, _u19448), _u19450))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19446), _u19448), skolem493(_u19452, _u19451, _u19450, _u19449, _u19448, _u19447, _u19446, _u19445))) )).
% 39.92/40.16 cnf(matrix-7741, plain, ( ~class_Groups_Ocomm__monoid__add(_u19445) | ~class_Orderings_Oord(_u19446) | ( _u19447 != _u19448) | ( _u19449 != _u19450) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19446, _u19445), _u19451), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u19446, _u19447), _u19449)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19446, _u19445), _u19452), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u19446, _u19448), _u19450))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u19446), skolem493(_u19452, _u19451, _u19450, _u19449, _u19448, _u19447, _u19446, _u19445)), _u19450)) )).
% 39.92/40.16 cnf(matrix-7742, plain, ( ~class_Groups_Ocomm__monoid__add(_u19445) | ~class_Orderings_Oord(_u19446) | ( _u19447 != _u19448) | ( _u19449 != _u19450) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19446, _u19445), _u19451), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u19446, _u19447), _u19449)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19446, _u19445), _u19452), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u19446, _u19448), _u19450))) | ( hAPP(_u19451, skolem493(_u19452, _u19451, _u19450, _u19449, _u19448, _u19447, _u19446, _u19445)) != hAPP(_u19452, skolem493(_u19452, _u19451, _u19450, _u19449, _u19448, _u19447, _u19446, _u19445))) )).
% 39.92/40.16 cnf(matrix-7743, plain, ( ( c_Random_Olog(_u19455, _u19457) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u19455), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))) )).
% 39.92/40.16 cnf(matrix-7744, plain, ( ( c_Random_Olog(_u19455, _u19457) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u19457), _u19455)) )).
% 39.92/40.16 cnf(matrix-7745, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u19456), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u19458), _u19456)) | ( c_Random_Olog(_u19456, _u19458) = 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(_u19456, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral), _u19458), _u19456)))) )).
% 39.92/40.16 cnf(matrix-7746, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u19462), _u19464)) | ( c_Random_Ominus__shift(_u19466, _u19462, _u19464) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral), _u19466), _u19462)), _u19464)) )).
% 39.92/40.16 cnf(matrix-7747, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u19463), _u19465)) | ( c_Random_Ominus__shift(_u19467, _u19463, _u19465) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u19463), _u19465)) )).
% 39.92/40.16 cnf(matrix-7748, plain, ( ( _u19470 != _u19472) | ( c_Random_Oinc__shift(_u19470, _u19472) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) )).
% 39.92/40.16 cnf(matrix-7749, plain, ( ( _u19471 = _u19473) | ( c_Random_Oinc__shift(_u19471, _u19473) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral), _u19473), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))) )).
% 39.92/40.16 cnf(matrix-7750, plain, ( ( _u19474 = c_List_Olist_ONil(_u19475)) | hBOOL(hAPP(hAPP(c_member(_u19475), hAPP(c_Product__Type_Ofst(_u19475, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), hAPP(c_Random_Oselect(_u19475, _u19474), _u19476))), hAPP(c_List_Oset(_u19475), _u19474))) )).
% 39.92/40.16 cnf(matrix-7751, 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, _u19477), tc_Code__Numeral_Ocode__numeral), c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u19477)), _u19478)))) | hBOOL(hAPP(hAPP(c_member(_u19477), hAPP(c_Product__Type_Ofst(_u19477, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), hAPP(c_Random_Oselect__weight(_u19477, _u19478), _u19479))), hAPP(c_List_Oset(_u19477), hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral, _u19477), _u19477), c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral, _u19477)), _u19478)))) )).
% 39.92/40.16 cnf(matrix-7752, plain, ( ( _u19480 = c_List_Olist_ONil(_u19481)) | ( c_Random_Oselect__weight(_u19481, hAPP(hAPP(c_List_Omap(_u19481, tc_prod(tc_Code__Numeral_Ocode__numeral, _u19481)), hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral, _u19481), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))), _u19480)) = c_Random_Oselect(_u19481, _u19480)) )).
% 39.92/40.16 cnf(matrix-7753, plain, ( ( c_Random_Oselect__weight(_u19482, hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral, _u19482)), hAPP(hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral, _u19482), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)), _u19483)), _u19484)) = c_Random_Oselect__weight(_u19482, _u19484)) )).
% 39.92/40.16 cnf(matrix-7754, plain, ( ( c_Random_Oselect__weight(_u19485, hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral, _u19485), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral, _u19485, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u19485, tc_HOL_Obool), tc_Code__Numeral_Ocode__numeral), c_COMBK(tc_HOL_Obool, _u19485)), hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))))), _u19486)) = c_Random_Oselect__weight(_u19485, _u19486)) )).
% 39.92/40.16 cnf(matrix-7755, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u19487), hAPP(c_List_Omonoid__add__class_Olistsum(tc_Code__Numeral_Ocode__numeral), hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral, _u19488), tc_Code__Numeral_Ocode__numeral), c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u19488)), _u19489)))) | hBOOL(hAPP(hAPP(c_member(_u19488), hAPP(c_Random_Opick(_u19488, _u19489), _u19487)), hAPP(c_List_Oset(_u19488), hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral, _u19488), _u19488), c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral, _u19488)), _u19489)))) )).
% 39.92/40.16 cnf(matrix-7756, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u19494), hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u19496), _u19498))) | ( hAPP(c_Random_Opick(_u19496, hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral, _u19496)), _u19498), _u19500)), _u19494) = hAPP(c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral, _u19496), _u19498)) )).
% 39.92/40.16 cnf(matrix-7757, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u19495), hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u19497), _u19499))) | ( hAPP(c_Random_Opick(_u19497, hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral, _u19497)), _u19499), _u19501)), _u19495) = hAPP(c_Random_Opick(_u19497, _u19501), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u19495), hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u19497), _u19499)))) )).
% 39.92/40.16 cnf(matrix-7758, plain, ( ( c_Random_Opick(_u19502, hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral, _u19502), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral, _u19502, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u19502, tc_HOL_Obool), tc_Code__Numeral_Ocode__numeral), c_COMBK(tc_HOL_Obool, _u19502)), hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))))), _u19503)) = c_Random_Opick(_u19502, _u19503)) )).
% 39.92/40.16 cnf(matrix-7759, plain, ( ( c_Random_Oselect__weight(_u19504, _u19505) = 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(_u19504, 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, _u19504), tc_Code__Numeral_Ocode__numeral), c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u19504)), _u19505)))), hAPP(hAPP(c_COMBB(_u19504, tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(_u19504, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), tc_Code__Numeral_Ocode__numeral), c_Product__Type_OPair(_u19504, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), c_Random_Opick(_u19504, _u19505)))) )).
% 39.92/40.16 cnf(matrix-7760, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19506), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19507)), _u19508))) | ( hAPP(c_Random_Opick(_u19507, hAPP(hAPP(c_List_Omap(_u19507, tc_prod(tc_Code__Numeral_Ocode__numeral, _u19507)), hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral, _u19507), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))), _u19508)), hAPP(c_Code__Numeral_Oof__nat, _u19506)) = hAPP(hAPP(c_List_Onth(_u19507), _u19508), _u19506)) )).
% 39.92/40.16 cnf(matrix-7761, 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)) )).
% 39.92/40.16 cnf(matrix-7762, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u19509), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u19510), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( hAPP(c_Code__Numeral_Oof__nat, _u19509) != hAPP(c_Code__Numeral_Oof__nat, _u19510)) | ( _u19509 = _u19510) )).
% 39.92/40.16 cnf(matrix-7763, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u19509), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u19510), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( _u19509 != _u19510) | ( hAPP(c_Code__Numeral_Oof__nat, _u19509) = hAPP(c_Code__Numeral_Oof__nat, _u19510)) )).
% 39.92/40.16 cnf(matrix-7764, plain, ( ( hAPP(c_Code__Numeral_Oof__nat, _u19513) != hAPP(c_Code__Numeral_Oof__nat, _u19515)) | ( _u19513 = _u19515) )).
% 39.92/40.16 cnf(matrix-7765, plain, ( ( _u19514 != _u19516) | ( hAPP(c_Code__Numeral_Oof__nat, _u19514) = hAPP(c_Code__Numeral_Oof__nat, _u19516)) )).
% 39.92/40.16 cnf(matrix-7766, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u19517)), hAPP(c_Code__Numeral_Oof__nat, _u19518)) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u19517), _u19518))) )).
% 39.92/40.16 cnf(matrix-7767, plain, ( ( c_Code__Numeral_Oof__nat = c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral)) )).
% 39.92/40.16 cnf(matrix-7768, 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))) )).
% 39.92/40.16 cnf(matrix-7769, 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))) )).
% 39.92/40.16 cnf(matrix-7770, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u19521)), hAPP(c_Code__Numeral_Oof__nat, _u19523))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u19521), _u19523)) )).
% 39.92/40.16 cnf(matrix-7771, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u19522), _u19524)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u19522)), hAPP(c_Code__Numeral_Oof__nat, _u19524))) )).
% 39.92/40.16 cnf(matrix-7772, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u19525)), hAPP(c_Code__Numeral_Oof__nat, _u19526)) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u19525), _u19526))) )).
% 39.92/40.16 cnf(matrix-7773, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u19529)), hAPP(c_Code__Numeral_Oof__nat, _u19531))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19529), _u19531)) )).
% 39.92/40.16 cnf(matrix-7774, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19530), _u19532)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u19530)), hAPP(c_Code__Numeral_Oof__nat, _u19532))) )).
% 39.92/40.16 cnf(matrix-7775, plain, ( ( _u19534 = 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)), _u19534)) )).
% 39.92/40.16 cnf(matrix-7776, 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)), _u19535)) | ( _u19535 != hAPP(c_Code__Numeral_Oof__nat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 39.92/40.16 cnf(matrix-7777, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)), _u19536)) | 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(_u19536), _u19537))), _u19536)) )).
% 39.92/40.16 cnf(matrix-7778, plain, ( ( c_Random_Oselect(_u19538, _u19539) = 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(_u19538, 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(_u19538)), _u19539)))), hAPP(hAPP(c_COMBB(_u19538, tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(_u19538, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), tc_Code__Numeral_Ocode__numeral), c_Product__Type_OPair(_u19538, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u19538, tc_Code__Numeral_Ocode__numeral), hAPP(c_List_Onth(_u19538), _u19539)), c_Code__Numeral_Onat__of)))) )).
% 39.92/40.16 cnf(matrix-7779, plain, ( ( hAPP(hAPP(c_Code__Numeral_Osubtract__code__numeral, hAPP(c_Code__Numeral_Oof__nat, _u19540)), hAPP(c_Code__Numeral_Oof__nat, _u19541)) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u19540), _u19541))) )).
% 39.92/40.16 cnf(matrix-7780, 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))) )).
% 39.92/40.16 cnf(matrix-7781, plain, ( ( hAPP(c_Code__Numeral_Onat__of, hAPP(c_Code__Numeral_Oof__nat, _u19542)) = _u19542) )).
% 39.92/40.16 cnf(matrix-7782, plain, ( ( hAPP(c_Code__Numeral_Oof__nat, hAPP(c_Code__Numeral_Onat__of, _u19543)) = _u19543) )).
% 39.92/40.16 cnf(matrix-7783, plain, ( ( hAPP(c_Code__Numeral_Oof__nat, hAPP(c_Code__Numeral_Onat__of, _u19544)) = _u19544) )).
% 39.92/40.16 cnf(matrix-7784, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Code__Numeral_Ocode__numeral), _u19545), _u19546) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u19545)), hAPP(c_Code__Numeral_Onat__of, _u19546)))) )).
% 39.92/40.16 cnf(matrix-7785, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u19549), _u19551)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u19549)), hAPP(c_Code__Numeral_Onat__of, _u19551))) )).
% 39.92/40.16 cnf(matrix-7786, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u19550)), hAPP(c_Code__Numeral_Onat__of, _u19552))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u19550), _u19552)) )).
% 39.92/40.16 cnf(matrix-7787, plain, ( ( hAPP(c_Code__Numeral_Onat__of, _u19555) != hAPP(c_Code__Numeral_Onat__of, _u19557)) | ( _u19555 = _u19557) )).
% 39.92/40.16 cnf(matrix-7788, plain, ( ( _u19556 != _u19558) | ( hAPP(c_Code__Numeral_Onat__of, _u19556) = hAPP(c_Code__Numeral_Onat__of, _u19558)) )).
% 39.92/40.16 cnf(matrix-7789, plain, ( ( hAPP(c_Code__Numeral_Onat__of, _u19561) != hAPP(c_Code__Numeral_Onat__of, _u19563)) | ( _u19561 = _u19563) )).
% 39.92/40.16 cnf(matrix-7790, plain, ( ( _u19562 != _u19564) | ( hAPP(c_Code__Numeral_Onat__of, _u19562) = hAPP(c_Code__Numeral_Onat__of, _u19564)) )).
% 39.92/40.16 cnf(matrix-7791, plain, ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u19565)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 39.92/40.16 cnf(matrix-7792, plain, ( ( hAPP(c_Code__Numeral_Onat__of, hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral), _u19566)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u19566)) )).
% 39.92/40.16 cnf(matrix-7793, 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)) )).
% 39.92/40.16 cnf(matrix-7794, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u19569), _u19571)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u19569)), hAPP(c_Code__Numeral_Onat__of, _u19571))) )).
% 39.92/40.16 cnf(matrix-7795, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u19570)), hAPP(c_Code__Numeral_Onat__of, _u19572))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u19570), _u19572)) )).
% 39.92/40.16 cnf(matrix-7796, plain, ( ( hAPP(c_Code__Numeral_Onat__of, _u19573) = c_Code__Numeral_Onat__of__aux(_u19573, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 39.92/40.16 cnf(matrix-7797, plain, ( ( c_Code__Numeral_Onat__of__aux(_u19574, _u19575) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u19574)), _u19575)) )).
% 39.92/40.16 cnf(matrix-7798, plain, ( ( c_Code__Numeral_OSuc__code__numeral(_u19576) = hAPP(c_Code__Numeral_Oof__nat, hAPP(c_Nat_OSuc, hAPP(c_Code__Numeral_Onat__of, _u19576)))) )).
% 39.92/40.16 cnf(matrix-7799, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u19577), _u19578) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u19577)), hAPP(c_Code__Numeral_Onat__of, _u19578)))) )).
% 39.92/40.16 cnf(matrix-7800, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u19579), 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, _u19579)) = _u19579) )).
% 39.92/40.16 cnf(matrix-7801, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral), _u19580), _u19581) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u19580)), hAPP(c_Code__Numeral_Onat__of, _u19581)))) )).
% 39.92/40.16 cnf(matrix-7802, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral), _u19582), _u19583) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u19582)), hAPP(c_Code__Numeral_Onat__of, _u19583)))) )).
% 39.92/40.16 cnf(matrix-7803, plain, ( ( c_Code__Numeral_Osubtract__code__numeral = c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral)) )).
% 39.92/40.16 cnf(matrix-7804, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u19584), _u19585) = hAPP(hAPP(c_Code__Numeral_Osubtract__code__numeral, _u19584), _u19585)) )).
% 39.92/40.16 cnf(matrix-7805, plain, ( ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u19586, _u19587) = hAPP(c_Code__Numeral_Oof__nat, c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Code__Numeral_Onat__of, _u19586), hAPP(c_Code__Numeral_Onat__of, _u19587)))) )).
% 39.92/40.16 cnf(matrix-7806, plain, ( ( _u19588 = 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, _u19588)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), hAPP(c_Code__Numeral_Onat__of, _u19588))) )).
% 39.92/40.16 cnf(matrix-7807, plain, ( ( hAPP(c_New__DSequence_Opos__not__seq(_u19589), _u19590) = c_Lazy__Sequence_Ohb__not__seq(hAPP(_u19589, 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)))), _u19590)))) )).
% 39.92/40.16 cnf(matrix-7808, 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), _u19593), _u19595)), c_Transitive__Closure_Otrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19593), _u19595)) )).
% 39.92/40.16 cnf(matrix-7809, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19594), _u19596)) | 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), _u19594), _u19596)), c_Transitive__Closure_Otrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) )).
% 39.92/40.16 cnf(matrix-7810, plain, ( ~c_Wellfounded_Owf(_u19597, _u19598) | c_Wellfounded_Owf(_u19597, c_Transitive__Closure_Otrancl(_u19597, _u19598)) )).
% 39.92/40.16 cnf(matrix-7811, plain, ( ( c_Wellfounded_Oless__than = c_Transitive__Closure_Otrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat)) )).
% 39.92/40.16 cnf(matrix-7812, plain, ( ~c_Wellfounded_Oacyclic(_u19603, _u19605) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19603, _u19603)), hAPP(hAPP(c_Product__Type_OPair(_u19603, _u19603), _u19599), _u19599)), c_Transitive__Closure_Otrancl(_u19603, _u19605))) )).
% 39.92/40.16 cnf(matrix-7813, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u19604, _u19604)), hAPP(hAPP(c_Product__Type_OPair(_u19604, _u19604), skolem494(_u19606, _u19604)), skolem494(_u19606, _u19604))), c_Transitive__Closure_Otrancl(_u19604, _u19606))) | c_Wellfounded_Oacyclic(_u19604, _u19606) )).
% 39.92/40.16 cnf(matrix-7814, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19607, _u19607)), hAPP(hAPP(c_Product__Type_OPair(_u19607, _u19607), _u19608), _u19609)), _u19610)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19607, _u19607)), hAPP(hAPP(c_Product__Type_OPair(_u19607, _u19607), _u19608), _u19609)), c_Transitive__Closure_Otrancl(_u19607, _u19610))) )).
% 39.92/40.16 cnf(matrix-7815, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u19611, _u19611), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u19611, _u19612)), hAPP(hAPP(c_Product__Type_OSigma(_u19611, _u19611), hAPP(c_Relation_OField(_u19611), _u19612)), hAPP(c_COMBK(tc_fun(_u19611, tc_HOL_Obool), _u19611), hAPP(c_Relation_OField(_u19611), _u19612))))) )).
% 39.92/40.16 cnf(matrix-7816, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19613, _u19613)), _u19614), _u19615)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19613, _u19613)), _u19614), c_Transitive__Closure_Otrancl(_u19613, _u19615))) )).
% 39.92/40.16 cnf(matrix-7817, plain, ( ( c_Transitive__Closure_Otrancl(_u19616, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u19616, _u19616), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u19616, _u19616), tc_HOL_Obool))) )).
% 39.92/40.16 cnf(matrix-7818, plain, ( ( hAPP(c_Relation_ODomain(_u19617, _u19617), c_Transitive__Closure_Otrancl(_u19617, _u19618)) = hAPP(c_Relation_ODomain(_u19617, _u19617), _u19618)) )).
% 39.92/40.16 cnf(matrix-7819, plain, ( ( hAPP(c_Relation_ORange(_u19619, _u19619), c_Transitive__Closure_Otrancl(_u19619, _u19620)) = hAPP(c_Relation_ORange(_u19619, _u19619), _u19620)) )).
% 39.92/40.16 cnf(matrix-7820, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u19623, _u19623)), c_Transitive__Closure_Otrancl(_u19623, _u19625))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u19623, _u19623)), _u19625)) )).
% 39.92/40.16 cnf(matrix-7821, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u19624, _u19624)), _u19626)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u19624, _u19624)), c_Transitive__Closure_Otrancl(_u19624, _u19626))) )).
% 39.92/40.16 cnf(matrix-7822, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19627, _u19627)), hAPP(hAPP(c_Product__Type_OPair(_u19627, _u19627), _u19628), _u19629)), c_Transitive__Closure_Otrancl(_u19627, _u19630))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19627, _u19627)), hAPP(hAPP(c_Product__Type_OPair(_u19627, _u19627), _u19629), _u19631)), c_Transitive__Closure_Otrancl(_u19627, _u19630))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19627, _u19627)), hAPP(hAPP(c_Product__Type_OPair(_u19627, _u19627), _u19628), _u19631)), c_Transitive__Closure_Otrancl(_u19627, _u19630))) )).
% 39.92/40.16 cnf(matrix-7823, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19632, _u19632)), hAPP(hAPP(c_Product__Type_OPair(_u19632, _u19632), _u19633), _u19634)), c_Transitive__Closure_Otrancl(_u19632, _u19635))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19632, _u19632)), hAPP(hAPP(c_Product__Type_OPair(_u19632, _u19632), _u19634), _u19636)), _u19635)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19632, _u19632)), hAPP(hAPP(c_Product__Type_OPair(_u19632, _u19632), _u19633), _u19636)), c_Transitive__Closure_Otrancl(_u19632, _u19635))) )).
% 39.92/40.16 cnf(matrix-7824, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19637, _u19637)), hAPP(hAPP(c_Product__Type_OPair(_u19637, _u19637), _u19638), _u19639)), _u19640)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19637, _u19637)), hAPP(hAPP(c_Product__Type_OPair(_u19637, _u19637), _u19639), _u19641)), c_Transitive__Closure_Otrancl(_u19637, _u19640))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19637, _u19637)), hAPP(hAPP(c_Product__Type_OPair(_u19637, _u19637), _u19638), _u19641)), c_Transitive__Closure_Otrancl(_u19637, _u19640))) )).
% 39.92/40.16 cnf(matrix-7825, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19642, _u19642)), hAPP(hAPP(c_Product__Type_OPair(_u19642, _u19642), _u19643), _u19644)), _u19645)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19642, _u19642)), hAPP(hAPP(c_Product__Type_OPair(_u19642, _u19642), _u19644), _u19646)), _u19645)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19642, _u19642)), hAPP(hAPP(c_Product__Type_OPair(_u19642, _u19642), _u19643), _u19646)), c_Transitive__Closure_Otrancl(_u19642, _u19645))) )).
% 39.92/40.16 cnf(matrix-7826, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19647, _u19647)), _u19648), c_Transitive__Closure_Otrancl(_u19647, _u19649))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u19647, _u19647), tc_HOL_Obool)), _u19649), _u19650)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19647, _u19647)), _u19648), c_Transitive__Closure_Otrancl(_u19647, _u19650))) )).
% 39.92/40.16 cnf(matrix-7827, plain, ( ( c_Transitive__Closure_Otrancl(_u19651, _u19652) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u19651, _u19651), tc_HOL_Obool)), _u19652), hAPP(hAPP(c_Relation_Orel__comp(_u19651, _u19651, _u19651), c_Transitive__Closure_Otrancl(_u19651, _u19652)), _u19652))) )).
% 39.92/40.16 cnf(matrix-7828, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u19653, _u19653), tc_HOL_Obool)), _u19654), hAPP(hAPP(c_Product__Type_OSigma(_u19653, _u19653), _u19655), hAPP(c_COMBK(tc_fun(_u19653, tc_HOL_Obool), _u19653), _u19655)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u19653, _u19653), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u19653, _u19654)), hAPP(hAPP(c_Product__Type_OSigma(_u19653, _u19653), _u19655), hAPP(c_COMBK(tc_fun(_u19653, tc_HOL_Obool), _u19653), _u19655)))) )).
% 39.92/40.16 cnf(matrix-7829, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u19656, _u19656), tc_HOL_Obool)), _u19657), _u19658)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u19656, _u19656), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u19656, _u19656, _u19656), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u19656, _u19656), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u19656, _u19657)), _u19658)), _u19657)), _u19658)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u19656, _u19656), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u19656, _u19657)), _u19658)) )).
% 39.92/40.16 cnf(matrix-7830, plain, ( ( c_Transitive__Closure_Otrancl(_u19659, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u19659, _u19659)), hAPP(hAPP(c_Product__Type_OPair(_u19659, _u19659), _u19660), _u19661)), _u19662)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u19659, _u19659), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u19659, _u19662)), hAPP(c_Set_OCollect(tc_prod(_u19659, _u19659)), hAPP(c_Product__Type_Oprod_Oprod__case(_u19659, _u19659, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u19659, tc_fun(_u19659, tc_HOL_Obool), tc_fun(_u19659, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u19659, tc_HOL_Obool), tc_fun(_u19659, tc_HOL_Obool)), _u19659), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u19659)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19659), c_fconj), hAPP(hAPP(c_COMBC(_u19659, tc_fun(tc_prod(_u19659, _u19659), tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_prod(_u19659, _u19659), tc_fun(tc_fun(tc_prod(_u19659, _u19659), tc_HOL_Obool), tc_HOL_Obool), _u19659), c_member(tc_prod(_u19659, _u19659))), hAPP(hAPP(c_COMBC(_u19659, _u19659, tc_prod(_u19659, _u19659)), c_Product__Type_OPair(_u19659, _u19659)), _u19660))), c_Transitive__Closure_Ortrancl(_u19659, _u19662))))), hAPP(hAPP(c_COMBC(_u19659, tc_fun(tc_prod(_u19659, _u19659), tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_prod(_u19659, _u19659), tc_fun(tc_fun(tc_prod(_u19659, _u19659), tc_HOL_Obool), tc_HOL_Obool), _u19659), c_member(tc_prod(_u19659, _u19659))), hAPP(c_Product__Type_OPair(_u19659, _u19659), _u19661))), c_Transitive__Closure_Ortrancl(_u19659, _u19662))))))) )).
% 39.92/40.16 cnf(matrix-7831, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u19667, tc_fun(_u19667, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u19667, tc_fun(tc_prod(_u19667, _u19667), tc_HOL_Obool), tc_fun(_u19667, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19667, tc_fun(tc_fun(tc_prod(_u19667, _u19667), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u19667, _u19667), tc_HOL_Obool), tc_fun(_u19667, tc_HOL_Obool)), _u19667), c_COMBC(_u19667, tc_fun(tc_prod(_u19667, _u19667), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19667, tc_prod(_u19667, _u19667)), tc_fun(_u19667, tc_fun(tc_fun(tc_prod(_u19667, _u19667), tc_HOL_Obool), tc_HOL_Obool)), _u19667), hAPP(c_COMBB(tc_prod(_u19667, _u19667), tc_fun(tc_fun(tc_prod(_u19667, _u19667), tc_HOL_Obool), tc_HOL_Obool), _u19667), c_member(tc_prod(_u19667, _u19667)))), c_Product__Type_OPair(_u19667, _u19667)))), _u19669)), c_fequal), _u19671), _u19673)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19667, _u19667)), hAPP(hAPP(c_Product__Type_OPair(_u19667, _u19667), _u19671), _u19673)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u19667, _u19667), tc_HOL_Obool)), _u19669), c_Relation_OId(_u19667)))) )).
% 39.92/40.16 cnf(matrix-7832, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19668, _u19668)), hAPP(hAPP(c_Product__Type_OPair(_u19668, _u19668), _u19672), _u19674)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u19668, _u19668), tc_HOL_Obool)), _u19670), c_Relation_OId(_u19668)))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u19668, tc_fun(_u19668, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u19668, tc_fun(tc_prod(_u19668, _u19668), tc_HOL_Obool), tc_fun(_u19668, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19668, tc_fun(tc_fun(tc_prod(_u19668, _u19668), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u19668, _u19668), tc_HOL_Obool), tc_fun(_u19668, tc_HOL_Obool)), _u19668), c_COMBC(_u19668, tc_fun(tc_prod(_u19668, _u19668), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19668, tc_prod(_u19668, _u19668)), tc_fun(_u19668, tc_fun(tc_fun(tc_prod(_u19668, _u19668), tc_HOL_Obool), tc_HOL_Obool)), _u19668), hAPP(c_COMBB(tc_prod(_u19668, _u19668), tc_fun(tc_fun(tc_prod(_u19668, _u19668), tc_HOL_Obool), tc_HOL_Obool), _u19668), c_member(tc_prod(_u19668, _u19668)))), c_Product__Type_OPair(_u19668, _u19668)))), _u19670)), c_fequal), _u19672), _u19674)) )).
% 39.92/40.16 cnf(matrix-7833, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19675, _u19675)), _u19676), _u19677)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19675, _u19675)), _u19676), c_Transitive__Closure_Ortrancl(_u19675, _u19677))) )).
% 39.92/40.16 cnf(matrix-7834, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u19678, _u19678)), hAPP(hAPP(c_Product__Type_OPair(_u19678, _u19678), _u19679), _u19679)), c_Transitive__Closure_Ortrancl(_u19678, _u19680))) )).
% 39.92/40.16 cnf(matrix-7835, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u19681, _u19681)), hAPP(hAPP(c_Product__Type_OPair(_u19681, _u19681), _u19682), _u19682)), c_Relation_OId(_u19681))) )).
% 39.92/40.16 cnf(matrix-7836, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19683, _u19683)), hAPP(hAPP(c_Product__Type_OPair(_u19683, _u19683), _u19684), _u19685)), c_Transitive__Closure_Otrancl(_u19683, _u19686))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19683, _u19683)), hAPP(hAPP(c_Product__Type_OPair(_u19683, _u19683), _u19684), _u19685)), c_Transitive__Closure_Ortrancl(_u19683, _u19686))) )).
% 39.92/40.16 cnf(matrix-7837, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19687), tc_List_Olist(_u19687))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19687), tc_List_Olist(_u19687)), _u19688), _u19688)), c_List_Olistrel(_u19687, c_Transitive__Closure_Ortrancl(_u19687, _u19689)))) )).
% 39.92/40.16 cnf(matrix-7838, plain, ( ( c_Transitive__Closure_Otrancl(_u19690, _u19691) = hAPP(hAPP(c_Relation_Orel__comp(_u19690, _u19690, _u19690), c_Transitive__Closure_Ortrancl(_u19690, _u19691)), _u19691)) )).
% 39.92/40.16 cnf(matrix-7839, plain, ( ( c_Transitive__Closure_Otrancl(_u19692, _u19693) = hAPP(hAPP(c_Relation_Orel__comp(_u19692, _u19692, _u19692), _u19693), c_Transitive__Closure_Ortrancl(_u19692, _u19693))) )).
% 39.92/40.16 cnf(matrix-7840, plain, ( ( c_Transitive__Closure_Otrancl(_u19694, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u19694, _u19694), tc_HOL_Obool)), _u19695), c_Relation_OId(_u19694))) = c_Transitive__Closure_Ortrancl(_u19694, _u19695)) )).
% 39.92/40.16 cnf(matrix-7841, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u19696, _u19696), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u19696, _u19697)), c_Relation_OId(_u19696)) = c_Transitive__Closure_Ortrancl(_u19696, _u19697)) )).
% 39.92/40.16 cnf(matrix-7842, plain, ( ( c_Transitive__Closure_Ortrancl(_u19698, c_Transitive__Closure_Otrancl(_u19698, _u19699)) = c_Transitive__Closure_Ortrancl(_u19698, _u19699)) )).
% 39.92/40.16 cnf(matrix-7843, plain, ( ( c_Transitive__Closure_Otrancl(_u19700, c_Transitive__Closure_Ortrancl(_u19700, _u19701)) = c_Transitive__Closure_Ortrancl(_u19700, _u19701)) )).
% 39.92/40.16 cnf(matrix-7844, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19706, _u19706)), hAPP(hAPP(c_Product__Type_OPair(_u19706, _u19706), _u19708), _u19710)), c_Transitive__Closure_Ortrancl(_u19706, _u19712))) | ( _u19708 = _u19710) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19706, _u19706)), hAPP(hAPP(c_Product__Type_OPair(_u19706, _u19706), _u19708), _u19710)), c_Transitive__Closure_Otrancl(_u19706, _u19712))) )).
% 39.92/40.16 cnf(matrix-7845, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u19707, _u19707)), hAPP(hAPP(c_Product__Type_OPair(_u19707, _u19707), _u19709), _u19711)), c_Transitive__Closure_Ortrancl(_u19707, _u19713))) | ( _u19709 != _u19711) )).
% 39.92/40.16 cnf(matrix-7846, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u19707, _u19707)), hAPP(hAPP(c_Product__Type_OPair(_u19707, _u19707), _u19709), _u19711)), c_Transitive__Closure_Ortrancl(_u19707, _u19713))) | ( _u19709 = _u19711) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19707, _u19707)), hAPP(hAPP(c_Product__Type_OPair(_u19707, _u19707), _u19709), _u19711)), c_Transitive__Closure_Otrancl(_u19707, _u19713))) )).
% 39.92/40.16 cnf(matrix-7847, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19714, _u19714)), hAPP(hAPP(c_Product__Type_OPair(_u19714, _u19714), _u19715), _u19716)), _u19717)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19714, _u19714)), hAPP(hAPP(c_Product__Type_OPair(_u19714, _u19714), _u19716), _u19718)), c_Transitive__Closure_Ortrancl(_u19714, _u19717))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19714, _u19714)), hAPP(hAPP(c_Product__Type_OPair(_u19714, _u19714), _u19715), _u19718)), c_Transitive__Closure_Otrancl(_u19714, _u19717))) )).
% 39.92/40.16 cnf(matrix-7848, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19719, _u19719)), hAPP(hAPP(c_Product__Type_OPair(_u19719, _u19719), _u19720), _u19721)), c_Transitive__Closure_Ortrancl(_u19719, _u19722))) | ( _u19720 = _u19721) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19719, _u19719)), hAPP(hAPP(c_Product__Type_OPair(_u19719, _u19719), _u19720), _u19721)), c_Transitive__Closure_Otrancl(_u19719, _u19722))) )).
% 39.92/40.16 cnf(matrix-7849, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19723, _u19723)), hAPP(hAPP(c_Product__Type_OPair(_u19723, _u19723), _u19724), _u19725)), c_Transitive__Closure_Ortrancl(_u19723, _u19726))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19723, _u19723)), hAPP(hAPP(c_Product__Type_OPair(_u19723, _u19723), _u19725), _u19727)), _u19726)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19723, _u19723)), hAPP(hAPP(c_Product__Type_OPair(_u19723, _u19723), _u19724), _u19727)), c_Transitive__Closure_Otrancl(_u19723, _u19726))) )).
% 39.92/40.16 cnf(matrix-7850, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19728, _u19728)), hAPP(hAPP(c_Product__Type_OPair(_u19728, _u19728), _u19729), _u19730)), c_Transitive__Closure_Otrancl(_u19728, _u19731))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19728, _u19728)), hAPP(hAPP(c_Product__Type_OPair(_u19728, _u19728), _u19730), _u19732)), c_Transitive__Closure_Ortrancl(_u19728, _u19731))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19728, _u19728)), hAPP(hAPP(c_Product__Type_OPair(_u19728, _u19728), _u19729), _u19732)), c_Transitive__Closure_Otrancl(_u19728, _u19731))) )).
% 39.92/40.16 cnf(matrix-7851, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19733, _u19733)), hAPP(hAPP(c_Product__Type_OPair(_u19733, _u19733), _u19734), _u19735)), c_Transitive__Closure_Ortrancl(_u19733, _u19736))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19733, _u19733)), hAPP(hAPP(c_Product__Type_OPair(_u19733, _u19733), _u19735), _u19737)), c_Transitive__Closure_Otrancl(_u19733, _u19736))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19733, _u19733)), hAPP(hAPP(c_Product__Type_OPair(_u19733, _u19733), _u19734), _u19737)), c_Transitive__Closure_Otrancl(_u19733, _u19736))) )).
% 39.92/40.16 cnf(matrix-7852, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19738, _u19738)), hAPP(hAPP(c_Product__Type_OPair(_u19738, _u19738), _u19739), _u19740)), c_Transitive__Closure_Ortrancl(_u19738, _u19741))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19738, _u19738)), hAPP(hAPP(c_Product__Type_OPair(_u19738, _u19738), _u19740), _u19742)), c_Transitive__Closure_Ortrancl(_u19738, _u19741))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19738, _u19738)), hAPP(hAPP(c_Product__Type_OPair(_u19738, _u19738), _u19739), _u19742)), c_Transitive__Closure_Ortrancl(_u19738, _u19741))) )).
% 39.92/40.16 cnf(matrix-7853, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19743, _u19743)), hAPP(hAPP(c_Product__Type_OPair(_u19743, _u19743), _u19744), _u19745)), c_Transitive__Closure_Ortrancl(_u19743, _u19746))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19743, _u19743)), hAPP(hAPP(c_Product__Type_OPair(_u19743, _u19743), _u19745), _u19747)), _u19746)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19743, _u19743)), hAPP(hAPP(c_Product__Type_OPair(_u19743, _u19743), _u19744), _u19747)), c_Transitive__Closure_Ortrancl(_u19743, _u19746))) )).
% 39.92/40.16 cnf(matrix-7854, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19748, _u19748)), hAPP(hAPP(c_Product__Type_OPair(_u19748, _u19748), _u19749), _u19750)), _u19751)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19748, _u19748)), hAPP(hAPP(c_Product__Type_OPair(_u19748, _u19748), _u19750), _u19752)), c_Transitive__Closure_Ortrancl(_u19748, _u19751))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19748, _u19748)), hAPP(hAPP(c_Product__Type_OPair(_u19748, _u19748), _u19749), _u19752)), c_Transitive__Closure_Ortrancl(_u19748, _u19751))) )).
% 39.92/40.16 cnf(matrix-7855, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u19753, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u19753, _u19753, _u19754), _u19755)), _u19755)) | ( hAPP(c_Relation_OImage(_u19753, _u19753, c_Transitive__Closure_Ortrancl(_u19753, _u19754)), _u19755) = _u19755) )).
% 39.92/40.16 cnf(matrix-7856, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u19756, _u19756), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u19756, _u19756), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u19756, _u19757)), c_Transitive__Closure_Ortrancl(_u19756, _u19758))), c_Transitive__Closure_Ortrancl(_u19756, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u19756, _u19756), tc_HOL_Obool)), _u19757), _u19758)))) )).
% 39.92/40.16 cnf(matrix-7857, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u19759, _u19759), tc_HOL_Obool)), _u19760), _u19761)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u19759, _u19759), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u19759, _u19760)), c_Transitive__Closure_Ortrancl(_u19759, _u19761))) )).
% 39.92/40.16 cnf(matrix-7858, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u19762, _u19762), tc_HOL_Obool)), _u19763), _u19764)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u19762, _u19762), tc_HOL_Obool)), _u19764), c_Transitive__Closure_Ortrancl(_u19762, _u19763))) | ( c_Transitive__Closure_Ortrancl(_u19762, _u19764) = c_Transitive__Closure_Ortrancl(_u19762, _u19763)) )).
% 39.92/40.16 cnf(matrix-7859, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u19765, _u19765), tc_HOL_Obool)), _u19766), c_Transitive__Closure_Ortrancl(_u19765, _u19767))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u19765, _u19765), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u19765, _u19766)), c_Transitive__Closure_Ortrancl(_u19765, _u19767))) )).
% 39.92/40.16 cnf(matrix-7860, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u19768, _u19768), tc_HOL_Obool)), c_Relation_OId(_u19768)), _u19769)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u19768, _u19768), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u19768, _u19768, _u19768), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u19768, _u19768), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u19768, _u19770)), _u19769)), _u19770)), _u19769)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u19768, _u19768), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u19768, _u19770)), _u19769)) )).
% 39.92/40.16 cnf(matrix-7861, plain, ( c_Relation_Orefl__on(_u19771, c_Orderings_Otop__class_Otop(tc_fun(_u19771, tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u19771, _u19772)) )).
% 39.92/40.16 cnf(matrix-7862, plain, ( ( c_Transitive__Closure_Ortrancl(_u19773, c_Transitive__Closure_Ortrancl(_u19773, _u19774)) = c_Transitive__Closure_Ortrancl(_u19773, _u19774)) )).
% 39.92/40.16 cnf(matrix-7863, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u19775, _u19775), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u19775, _u19776)), c_Relation_OId(_u19775)) = c_Transitive__Closure_Ortrancl(_u19775, _u19776)) )).
% 39.92/40.16 cnf(matrix-7864, plain, ( ( c_Transitive__Closure_Ortrancl(_u19777, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u19777, _u19777), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u19777, _u19778)), c_Transitive__Closure_Ortrancl(_u19777, _u19779))) = c_Transitive__Closure_Ortrancl(_u19777, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u19777, _u19777), tc_HOL_Obool)), _u19778), _u19779))) )).
% 39.92/40.16 cnf(matrix-7865, plain, ( ( c_Transitive__Closure_Ortrancl(_u19780, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u19780, _u19780), tc_HOL_Obool)), _u19781), c_Relation_OId(_u19780))) = c_Transitive__Closure_Ortrancl(_u19780, _u19781)) )).
% 39.92/40.16 cnf(matrix-7866, plain, ( ( c_Transitive__Closure_Ortrancl(_u19782, _u19783) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u19782, _u19782), tc_HOL_Obool)), c_Relation_OId(_u19782)), hAPP(hAPP(c_Relation_Orel__comp(_u19782, _u19782, _u19782), c_Transitive__Closure_Ortrancl(_u19782, _u19783)), _u19783))) )).
% 39.92/40.16 cnf(matrix-7867, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u19784, _u19784, _u19784), _u19785), c_Transitive__Closure_Ortrancl(_u19784, _u19785)) = hAPP(hAPP(c_Relation_Orel__comp(_u19784, _u19784, _u19784), c_Transitive__Closure_Ortrancl(_u19784, _u19785)), _u19785)) )).
% 39.92/40.16 cnf(matrix-7868, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u19786, _u19786, _u19786), c_Transitive__Closure_Ortrancl(_u19786, _u19787)), c_Transitive__Closure_Ortrancl(_u19786, _u19787)) = c_Transitive__Closure_Ortrancl(_u19786, _u19787)) )).
% 39.92/40.16 cnf(matrix-7869, plain, ( ( c_Transitive__Closure_Ortrancl(_u19788, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u19788, _u19788), tc_HOL_Obool)), _u19789), c_Relation_OId(_u19788))) = c_Transitive__Closure_Ortrancl(_u19788, _u19789)) )).
% 39.92/40.16 cnf(matrix-7870, plain, ( ( hAPP(c_Relation_ORange(_u19790, _u19790), c_Transitive__Closure_Ortrancl(_u19790, _u19791)) = c_Orderings_Otop__class_Otop(tc_fun(_u19790, tc_HOL_Obool))) )).
% 39.92/40.16 cnf(matrix-7871, plain, ( ( hAPP(c_Relation_ODomain(_u19792, _u19792), c_Transitive__Closure_Ortrancl(_u19792, _u19793)) = c_Orderings_Otop__class_Otop(tc_fun(_u19792, tc_HOL_Obool))) )).
% 39.92/40.16 cnf(matrix-7872, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u19794, _u19794)), _u19795), c_Transitive__Closure_Ortrancl(_u19794, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u19794, _u19794), tc_HOL_Obool)), _u19796), _u19797)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19794, _u19794)), _u19795), c_Transitive__Closure_Ortrancl(_u19794, _u19796))) )).
% 39.92/40.16 cnf(matrix-7873, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u19794, _u19794)), _u19795), c_Transitive__Closure_Ortrancl(_u19794, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u19794, _u19794), tc_HOL_Obool)), _u19796), _u19797)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19794, _u19794)), _u19795), c_Transitive__Closure_Ortrancl(_u19794, _u19797))) )).
% 39.92/40.16 cnf(matrix-7874, plain, ( ( c_Transitive__Closure_Ortrancl(_u19798, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u19798, _u19798), tc_HOL_Obool))) = c_Relation_OId(_u19798)) )).
% 39.92/40.16 cnf(matrix-7875, plain, ( ( hAPP(c_Relation_ODomain(_u19799, _u19799), c_Relation_OId(_u19799)) = c_Orderings_Otop__class_Otop(tc_fun(_u19799, tc_HOL_Obool))) )).
% 39.92/40.16 cnf(matrix-7876, plain, ( ( c_List_Olistrel(_u19800, c_Transitive__Closure_Ortrancl(_u19800, _u19801)) = c_Transitive__Closure_Ortrancl(tc_List_Olist(_u19800), c_List_Olistrel1(_u19800, _u19801))) )).
% 39.92/40.16 cnf(matrix-7877, plain, ( ( hAPP(c_Relation_OImage(_u19802, _u19802, c_Relation_OId(_u19802)), _u19803) = _u19803) )).
% 39.92/40.16 cnf(matrix-7878, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u19804, _u19804, _u19805), c_Relation_OId(_u19804)), _u19806) = _u19806) )).
% 39.92/40.16 cnf(matrix-7879, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u19807, _u19808, _u19808), _u19809), c_Relation_OId(_u19808)) = _u19809) )).
% 39.92/40.16 cnf(matrix-7880, plain, ( ( hAPP(c_Relation_ORange(_u19810, _u19810), c_Relation_OId(_u19810)) = c_Orderings_Otop__class_Otop(tc_fun(_u19810, tc_HOL_Obool))) )).
% 39.92/40.16 cnf(matrix-7881, plain, ( c_Relation_Orefl__on(_u19811, c_Orderings_Otop__class_Otop(tc_fun(_u19811, tc_HOL_Obool)), c_Relation_OId(_u19811)) )).
% 39.92/40.16 cnf(matrix-7882, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u19812), tc_List_Olist(_u19812)), tc_HOL_Obool)), c_List_Olistrel1(_u19812, c_Transitive__Closure_Ortrancl(_u19812, _u19813))), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u19812), c_List_Olistrel1(_u19812, _u19813)))) )).
% 39.92/40.16 cnf(matrix-7883, plain, ( ( _u19819 = _u19821) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19817, _u19817)), hAPP(hAPP(c_Product__Type_OPair(_u19817, _u19817), _u19819), _u19821)), c_Relation_OId(_u19817))) )).
% 39.92/40.16 cnf(matrix-7884, plain, ( ( _u19820 != _u19822) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19818, _u19818)), hAPP(hAPP(c_Product__Type_OPair(_u19818, _u19818), _u19820), _u19822)), c_Relation_OId(_u19818))) )).
% 39.92/40.16 cnf(matrix-7885, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19823), tc_List_Olist(_u19823))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19823), tc_List_Olist(_u19823)), _u19824), _u19825)), c_List_Olistrel(_u19823, c_Transitive__Closure_Ortrancl(_u19823, _u19826)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19823), tc_List_Olist(_u19823))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19823), tc_List_Olist(_u19823)), _u19825), _u19827)), c_List_Olistrel(_u19823, c_Transitive__Closure_Ortrancl(_u19823, _u19826)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19823), tc_List_Olist(_u19823))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19823), tc_List_Olist(_u19823)), _u19824), _u19827)), c_List_Olistrel(_u19823, c_Transitive__Closure_Ortrancl(_u19823, _u19826)))) )).
% 39.92/40.16 cnf(matrix-7886, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19828, _u19828)), hAPP(hAPP(c_Product__Type_OPair(_u19828, _u19828), _u19829), _u19830)), c_Transitive__Closure_Ortrancl(_u19828, _u19831))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19828), tc_List_Olist(_u19828))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19828), tc_List_Olist(_u19828)), _u19832), _u19833)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u19828), c_List_Olistrel1(_u19828, _u19831)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19828), tc_List_Olist(_u19828))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19828), tc_List_Olist(_u19828)), hAPP(hAPP(c_List_Olist_OCons(_u19828), _u19829), _u19832)), hAPP(hAPP(c_List_Olist_OCons(_u19828), _u19830), _u19833))), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u19828), c_List_Olistrel1(_u19828, _u19831)))) )).
% 39.92/40.16 cnf(matrix-7887, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u19834), tc_List_Olist(_u19834)), tc_HOL_Obool)), c_List_Olistrel(_u19834, _u19835)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u19834), c_List_Olistrel1(_u19834, _u19835)))) )).
% 39.92/40.16 cnf(matrix-7888, 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)))) )).
% 39.92/40.16 cnf(matrix-7889, plain, ( hBOOL(hAPP(hAPP(c_member(_u19836), _u19837), hAPP(c_Relation_ODomain(_u19836, _u19836), _u19838))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19836, _u19836)), hAPP(hAPP(c_Product__Type_OPair(_u19836, _u19836), _u19837), _u19839)), c_Transitive__Closure_Ortrancl(_u19836, _u19838))) | ( _u19837 = _u19839) )).
% 39.92/40.16 cnf(matrix-7890, plain, ( hBOOL(hAPP(hAPP(c_member(_u19836), _u19837), hAPP(c_Relation_ODomain(_u19836, _u19836), _u19838))) | ( _u19837 != _u19839) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19836, _u19836)), hAPP(hAPP(c_Product__Type_OPair(_u19836, _u19836), _u19837), _u19839)), c_Transitive__Closure_Ortrancl(_u19836, _u19838))) )).
% 39.92/40.16 cnf(matrix-7891, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19840), _u19841), c_Wellfounded_Oacc(_u19840, _u19842))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19840, _u19840)), hAPP(hAPP(c_Product__Type_OPair(_u19840, _u19840), _u19843), _u19841)), c_Transitive__Closure_Ortrancl(_u19840, _u19842))) | hBOOL(hAPP(hAPP(c_member(_u19840), _u19843), c_Wellfounded_Oacc(_u19840, _u19842))) )).
% 39.92/40.16 cnf(matrix-7892, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19844, _u19844)), hAPP(hAPP(c_Product__Type_OPair(_u19844, _u19844), _u19845), _u19846)), c_Transitive__Closure_Ortrancl(_u19844, _u19847))) | ~hBOOL(hAPP(hAPP(c_member(_u19844), _u19846), c_Wellfounded_Oacc(_u19844, _u19847))) | hBOOL(hAPP(hAPP(c_member(_u19844), _u19845), c_Wellfounded_Oacc(_u19844, _u19847))) )).
% 39.92/40.16 cnf(matrix-7893, plain, ( ~c_Wellfounded_Owf(_u19852, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u19852, _u19852)), hAPP(hAPP(c_Product__Type_OPair(_u19852, _u19852), _u19854), _u19856)), _u19858)) | c_Wellfounded_Owf(_u19852, _u19858) )).
% 39.92/40.16 cnf(matrix-7894, plain, ( ~c_Wellfounded_Owf(_u19852, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u19852, _u19852)), hAPP(hAPP(c_Product__Type_OPair(_u19852, _u19852), _u19854), _u19856)), _u19858)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19852, _u19852)), hAPP(hAPP(c_Product__Type_OPair(_u19852, _u19852), _u19856), _u19854)), c_Transitive__Closure_Ortrancl(_u19852, _u19858))) )).
% 39.92/40.16 cnf(matrix-7895, plain, ( ~c_Wellfounded_Owf(_u19853, _u19859) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19853, _u19853)), hAPP(hAPP(c_Product__Type_OPair(_u19853, _u19853), _u19857), _u19855)), c_Transitive__Closure_Ortrancl(_u19853, _u19859))) | c_Wellfounded_Owf(_u19853, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u19853, _u19853)), hAPP(hAPP(c_Product__Type_OPair(_u19853, _u19853), _u19855), _u19857)), _u19859)) )).
% 39.92/40.16 cnf(matrix-7896, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19860), tc_List_Olist(_u19860))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19860), tc_List_Olist(_u19860)), _u19861), _u19862)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u19860), c_List_Olistrel1(_u19860, _u19863)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19860), tc_List_Olist(_u19860))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19860), tc_List_Olist(_u19860)), hAPP(hAPP(c_List_Olist_OCons(_u19860), _u19864), _u19861)), hAPP(hAPP(c_List_Olist_OCons(_u19860), _u19864), _u19862))), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u19860), c_List_Olistrel1(_u19860, _u19863)))) )).
% 39.92/40.16 cnf(matrix-7897, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19865), tc_List_Olist(_u19865))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19865), tc_List_Olist(_u19865)), _u19866), _u19867)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u19865), c_List_Olistrel1(_u19865, _u19868)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19865)), _u19866) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19865)), _u19867)) )).
% 39.92/40.16 cnf(matrix-7898, plain, ( ~c_Wellfounded_Oacyclic(_u19873, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u19873, _u19873)), hAPP(hAPP(c_Product__Type_OPair(_u19873, _u19873), _u19875), _u19877)), _u19879)) | c_Wellfounded_Oacyclic(_u19873, _u19879) )).
% 39.92/40.16 cnf(matrix-7899, plain, ( ~c_Wellfounded_Oacyclic(_u19873, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u19873, _u19873)), hAPP(hAPP(c_Product__Type_OPair(_u19873, _u19873), _u19875), _u19877)), _u19879)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19873, _u19873)), hAPP(hAPP(c_Product__Type_OPair(_u19873, _u19873), _u19877), _u19875)), c_Transitive__Closure_Ortrancl(_u19873, _u19879))) )).
% 39.92/40.16 cnf(matrix-7900, plain, ( ~c_Wellfounded_Oacyclic(_u19874, _u19880) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19874, _u19874)), hAPP(hAPP(c_Product__Type_OPair(_u19874, _u19874), _u19878), _u19876)), c_Transitive__Closure_Ortrancl(_u19874, _u19880))) | c_Wellfounded_Oacyclic(_u19874, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u19874, _u19874)), hAPP(hAPP(c_Product__Type_OPair(_u19874, _u19874), _u19876), _u19878)), _u19880)) )).
% 39.92/40.16 cnf(matrix-7901, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19881), tc_List_Olist(_u19881))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19881), tc_List_Olist(_u19881)), _u19882), _u19883)), c_List_Olistrel1(_u19881, _u19884))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19881), tc_List_Olist(_u19881))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19881), tc_List_Olist(_u19881)), _u19882), _u19883)), c_List_Olistrel(_u19881, c_Transitive__Closure_Ortrancl(_u19881, _u19884)))) )).
% 39.92/40.16 cnf(matrix-7902, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19885), tc_List_Olist(_u19885))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19885), tc_List_Olist(_u19885)), _u19886), _u19887)), c_List_Olistrel(_u19885, _u19888))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19885), tc_List_Olist(_u19885))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19885), tc_List_Olist(_u19885)), _u19886), _u19887)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u19885), c_List_Olistrel1(_u19885, _u19888)))) )).
% 39.92/40.16 cnf(matrix-7903, plain, ( c_Relation_Orefl__on(_u19889, c_Orderings_Otop__class_Otop(tc_fun(_u19889, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u19889, _u19889), tc_HOL_Obool)), _u19890), c_Relation_OId(_u19889))) )).
% 39.92/40.16 cnf(matrix-7904, plain, ( ( c_Relation_OId(_u19891) = hAPP(c_Set_OCollect(tc_prod(_u19891, _u19891)), hAPP(hAPP(c_COMBB(tc_fun(_u19891, tc_HOL_Obool), tc_HOL_Obool, tc_prod(_u19891, _u19891)), c_HOL_OEx(_u19891)), hAPP(hAPP(c_COMBC(tc_prod(_u19891, _u19891), tc_fun(_u19891, tc_prod(_u19891, _u19891)), tc_fun(_u19891, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u19891, _u19891), tc_HOL_Obool), tc_fun(tc_fun(_u19891, tc_prod(_u19891, _u19891)), tc_fun(_u19891, tc_HOL_Obool)), tc_prod(_u19891, _u19891)), c_COMBB(tc_prod(_u19891, _u19891), tc_HOL_Obool, _u19891)), c_fequal)), hAPP(hAPP(c_COMBS(_u19891, _u19891, tc_prod(_u19891, _u19891)), c_Product__Type_OPair(_u19891, _u19891)), c_COMBI(_u19891)))))) )).
% 39.92/40.16 cnf(matrix-7905, plain, ( c_Relation_Oirrefl(_u19892, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u19892, _u19892), tc_HOL_Obool)), _u19893), c_Relation_OId(_u19892))) )).
% 39.92/40.16 cnf(matrix-7906, 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), _u19896), _u19898)), c_Transitive__Closure_Ortrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u19896), _u19898)) )).
% 39.92/40.16 cnf(matrix-7907, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u19897), _u19899)) | 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), _u19897), _u19899)), c_Transitive__Closure_Ortrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) )).
% 39.92/40.16 cnf(matrix-7908, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19900, _u19900)), hAPP(hAPP(c_Product__Type_OPair(_u19900, _u19900), _u19901), _u19902)), c_Transitive__Closure_Ortrancl(_u19900, _u19903))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u19900, _u19900), tc_HOL_Obool)), _u19903), hAPP(hAPP(c_Product__Type_OSigma(_u19900, _u19900), _u19904), hAPP(c_COMBK(tc_fun(_u19900, tc_HOL_Obool), _u19900), _u19904)))) | ( _u19901 = _u19902) | hBOOL(hAPP(hAPP(c_member(_u19900), _u19901), _u19904)) )).
% 39.92/40.16 cnf(matrix-7909, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u19905, _u19905), tc_HOL_Obool)), hAPP(c_Relation_Oconverse(_u19905, _u19905), _u19906)), c_Transitive__Closure_Ortrancl(_u19905, _u19906)) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u19905, _u19905), tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19905, _u19905)), hAPP(hAPP(c_Product__Type_OPair(_u19905, _u19905), _u19907), _u19907)), c_Transitive__Closure_Otrancl(_u19905, _u19906))) )).
% 39.92/40.16 cnf(matrix-7910, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19909, _u19909)), hAPP(hAPP(c_Product__Type_OPair(_u19909, _u19909), hAPP(_u19910, hAPP(c_Nat_OSuc, skolem495(_u19913, _u19912, _u19911, _u19910, _u19909)))), hAPP(_u19910, skolem495(_u19913, _u19912, _u19911, _u19910, _u19909)))), c_Transitive__Closure_Ortrancl(_u19909, _u19911))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19909, _u19909)), hAPP(hAPP(c_Product__Type_OPair(_u19909, _u19909), hAPP(_u19910, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u19912), _u19913))), hAPP(_u19910, _u19912))), c_Transitive__Closure_Ortrancl(_u19909, _u19911))) )).
% 39.92/40.16 cnf(matrix-7911, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19914, _u19914)), hAPP(hAPP(c_Product__Type_OPair(_u19914, _u19914), _u19915), _u19916)), c_Transitive__Closure_Ortrancl(_u19914, hAPP(c_Relation_Oconverse(_u19914, _u19914), _u19917)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19914, _u19914)), hAPP(hAPP(c_Product__Type_OPair(_u19914, _u19914), _u19916), _u19915)), c_Transitive__Closure_Ortrancl(_u19914, _u19917))) )).
% 39.92/40.16 cnf(matrix-7912, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19918, _u19918)), hAPP(hAPP(c_Product__Type_OPair(_u19918, _u19918), _u19919), _u19920)), c_Transitive__Closure_Ortrancl(_u19918, _u19921))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19918, _u19918)), hAPP(hAPP(c_Product__Type_OPair(_u19918, _u19918), _u19920), _u19919)), c_Transitive__Closure_Ortrancl(_u19918, hAPP(c_Relation_Oconverse(_u19918, _u19918), _u19921)))) )).
% 39.92/40.16 cnf(matrix-7913, plain, ( ( c_Transitive__Closure_Ortrancl(_u19922, hAPP(c_Relation_Oconverse(_u19922, _u19922), _u19923)) = hAPP(c_Relation_Oconverse(_u19922, _u19922), c_Transitive__Closure_Ortrancl(_u19922, _u19923))) )).
% 39.92/40.16 cnf(matrix-7914, plain, ( ( hAPP(c_Relation_Oconverse(_u19924, _u19924), c_Relation_OId(_u19924)) = c_Relation_OId(_u19924)) )).
% 39.92/40.16 cnf(matrix-7915, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19929), tc_List_Olist(_u19929))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19929), tc_List_Olist(_u19929)), _u19931), _u19933)), c_List_Olistrel1(_u19929, hAPP(c_Relation_Oconverse(_u19929, _u19929), _u19935)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19929), tc_List_Olist(_u19929))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19929), tc_List_Olist(_u19929)), _u19931), _u19933)), hAPP(c_Relation_Oconverse(tc_List_Olist(_u19929), tc_List_Olist(_u19929)), c_List_Olistrel1(_u19929, _u19935)))) )).
% 39.92/40.16 cnf(matrix-7916, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19930), tc_List_Olist(_u19930))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19930), tc_List_Olist(_u19930)), _u19932), _u19934)), hAPP(c_Relation_Oconverse(tc_List_Olist(_u19930), tc_List_Olist(_u19930)), c_List_Olistrel1(_u19930, _u19936)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19930), tc_List_Olist(_u19930))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19930), tc_List_Olist(_u19930)), _u19932), _u19934)), c_List_Olistrel1(_u19930, hAPP(c_Relation_Oconverse(_u19930, _u19930), _u19936)))) )).
% 39.92/40.16 cnf(matrix-7917, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19942, _u19944)), hAPP(hAPP(c_Product__Type_OPair(_u19942, _u19944), _u19946), _u19948)), hAPP(c_Relation_Oconverse(_u19944, _u19942), _u19950))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19944, _u19942)), hAPP(hAPP(c_Product__Type_OPair(_u19944, _u19942), _u19948), _u19946)), _u19950)) )).
% 39.92/40.16 cnf(matrix-7918, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19945, _u19943)), hAPP(hAPP(c_Product__Type_OPair(_u19945, _u19943), _u19949), _u19947)), _u19951)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19943, _u19945)), hAPP(hAPP(c_Product__Type_OPair(_u19943, _u19945), _u19947), _u19949)), hAPP(c_Relation_Oconverse(_u19945, _u19943), _u19951))) )).
% 39.92/40.16 cnf(matrix-7919, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19952, _u19953)), hAPP(hAPP(c_Product__Type_OPair(_u19952, _u19953), _u19954), _u19955)), _u19956)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19953, _u19952)), hAPP(hAPP(c_Product__Type_OPair(_u19953, _u19952), _u19955), _u19954)), hAPP(c_Relation_Oconverse(_u19952, _u19953), _u19956))) )).
% 39.92/40.16 cnf(matrix-7920, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19957, _u19958)), hAPP(hAPP(c_Product__Type_OPair(_u19957, _u19958), _u19959), _u19960)), hAPP(c_Relation_Oconverse(_u19958, _u19957), _u19961))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19958, _u19957)), hAPP(hAPP(c_Product__Type_OPair(_u19958, _u19957), _u19960), _u19959)), _u19961)) )).
% 39.92/40.16 cnf(matrix-7921, plain, ( ( hAPP(c_Relation_Oconverse(_u19962, _u19962), hAPP(hAPP(c_Relation_Oinv__image(_u19963, _u19962), _u19964), _u19965)) = hAPP(hAPP(c_Relation_Oinv__image(_u19963, _u19962), hAPP(c_Relation_Oconverse(_u19963, _u19963), _u19964)), _u19965)) )).
% 39.92/40.16 cnf(matrix-7922, plain, ( ( hAPP(c_Relation_Oconverse(_u19966, _u19967), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u19968, tc_fun(tc_prod(_u19966, _u19967), tc_HOL_Obool)), _u19969), _u19970)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u19968, tc_fun(tc_prod(_u19967, _u19966), tc_HOL_Obool)), _u19969), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u19966, _u19967), tc_HOL_Obool), tc_fun(tc_prod(_u19967, _u19966), tc_HOL_Obool), _u19968), c_Relation_Oconverse(_u19966, _u19967)), _u19970))) )).
% 39.92/40.16 cnf(matrix-7923, plain, ( ( hAPP(c_Relation_Oconverse(_u19971, _u19972), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u19971, _u19972), tc_HOL_Obool)), _u19973), _u19974)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u19972, _u19971), tc_HOL_Obool)), hAPP(c_Relation_Oconverse(_u19971, _u19972), _u19973)), hAPP(c_Relation_Oconverse(_u19971, _u19972), _u19974))) )).
% 39.92/40.16 cnf(matrix-7924, plain, ( ( hAPP(c_Relation_Oconverse(_u19975, _u19976), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u19977, tc_fun(tc_prod(_u19975, _u19976), tc_HOL_Obool)), _u19978), _u19979)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u19977, tc_fun(tc_prod(_u19976, _u19975), tc_HOL_Obool)), _u19978), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u19975, _u19976), tc_HOL_Obool), tc_fun(tc_prod(_u19976, _u19975), tc_HOL_Obool), _u19977), c_Relation_Oconverse(_u19975, _u19976)), _u19979))) )).
% 39.92/40.16 cnf(matrix-7925, plain, ( ~c_Relation_Orefl__on(_u19983, _u19985, hAPP(c_Relation_Oconverse(_u19983, _u19983), _u19987)) | c_Relation_Orefl__on(_u19983, _u19985, _u19987) )).
% 39.92/40.16 cnf(matrix-7926, plain, ( ~c_Relation_Orefl__on(_u19984, _u19986, _u19988) | c_Relation_Orefl__on(_u19984, _u19986, hAPP(c_Relation_Oconverse(_u19984, _u19984), _u19988)) )).
% 39.92/40.16 cnf(matrix-7927, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u19992, _u19994)), hAPP(c_Relation_Oconverse(_u19994, _u19992), _u19996))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u19994, _u19992)), _u19996)) )).
% 39.92/40.16 cnf(matrix-7928, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u19995, _u19993)), _u19997)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u19993, _u19995)), hAPP(c_Relation_Oconverse(_u19995, _u19993), _u19997))) )).
% 39.92/40.16 cnf(matrix-7929, plain, ( ~c_Wellfounded_Oacyclic(_u20000, hAPP(c_Relation_Oconverse(_u20000, _u20000), _u20002)) | c_Wellfounded_Oacyclic(_u20000, _u20002) )).
% 39.92/40.16 cnf(matrix-7930, plain, ( ~c_Wellfounded_Oacyclic(_u20001, _u20003) | c_Wellfounded_Oacyclic(_u20001, hAPP(c_Relation_Oconverse(_u20001, _u20001), _u20003)) )).
% 39.92/40.16 cnf(matrix-7931, plain, ( ( hAPP(c_Relation_Oconverse(_u20004, _u20004), c_Relation_OId__on(_u20004, _u20005)) = c_Relation_OId__on(_u20004, _u20005)) )).
% 39.92/40.16 cnf(matrix-7932, plain, ( ( hAPP(c_Relation_OField(_u20006), hAPP(c_Relation_Oconverse(_u20006, _u20006), _u20007)) = hAPP(c_Relation_OField(_u20006), _u20007)) )).
% 39.92/40.16 cnf(matrix-7933, plain, ( ( hAPP(c_Relation_Oconverse(_u20008, _u20009), hAPP(c_Relation_Oconverse(_u20009, _u20008), _u20010)) = _u20010) )).
% 39.92/40.16 cnf(matrix-7934, plain, ( ( hAPP(c_Relation_Oconverse(_u20011, _u20012), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u20011, _u20012), tc_HOL_Obool)), _u20013), _u20014)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u20012, _u20011), tc_HOL_Obool)), hAPP(c_Relation_Oconverse(_u20011, _u20012), _u20013)), hAPP(c_Relation_Oconverse(_u20011, _u20012), _u20014))) )).
% 39.92/40.16 cnf(matrix-7935, plain, ( ( hAPP(c_Relation_Oconverse(_u20015, _u20016), hAPP(hAPP(c_Relation_Orel__comp(_u20015, _u20017, _u20016), _u20018), _u20019)) = hAPP(hAPP(c_Relation_Orel__comp(_u20016, _u20017, _u20015), hAPP(c_Relation_Oconverse(_u20017, _u20016), _u20019)), hAPP(c_Relation_Oconverse(_u20015, _u20017), _u20018))) )).
% 39.92/40.16 cnf(matrix-7936, plain, ( ( c_List_Olistrel1(_u20020, hAPP(c_Relation_Oconverse(_u20020, _u20020), _u20021)) = hAPP(c_Relation_Oconverse(tc_List_Olist(_u20020), tc_List_Olist(_u20020)), c_List_Olistrel1(_u20020, _u20021))) )).
% 39.92/40.16 cnf(matrix-7937, plain, ( ~c_Equiv__Relations_Oequiv(_u20022, _u20023, _u20024) | ( hAPP(hAPP(c_Relation_Orel__comp(_u20022, _u20022, _u20022), hAPP(c_Relation_Oconverse(_u20022, _u20022), _u20024)), _u20024) = _u20024) )).
% 39.92/40.16 cnf(matrix-7938, plain, ( ( hAPP(c_Relation_ORange(_u20025, _u20026), _u20027) = hAPP(c_Relation_ODomain(_u20026, _u20025), hAPP(c_Relation_Oconverse(_u20025, _u20026), _u20027))) )).
% 39.92/40.16 cnf(matrix-7939, plain, ( ( hAPP(c_Relation_ODomain(_u20028, _u20029), hAPP(c_Relation_Oconverse(_u20029, _u20028), _u20030)) = hAPP(c_Relation_ORange(_u20029, _u20028), _u20030)) )).
% 39.92/40.16 cnf(matrix-7940, plain, ( ( hAPP(c_Relation_ORange(_u20031, _u20032), hAPP(c_Relation_Oconverse(_u20032, _u20031), _u20033)) = hAPP(c_Relation_ODomain(_u20032, _u20031), _u20033)) )).
% 39.92/40.16 cnf(matrix-7941, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20034, _u20034)), hAPP(hAPP(c_Product__Type_OPair(_u20034, _u20034), _u20035), _u20036)), c_Transitive__Closure_Otrancl(_u20034, hAPP(c_Relation_Oconverse(_u20034, _u20034), _u20037)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20034, _u20034)), hAPP(hAPP(c_Product__Type_OPair(_u20034, _u20034), _u20035), _u20036)), hAPP(c_Relation_Oconverse(_u20034, _u20034), c_Transitive__Closure_Otrancl(_u20034, _u20037)))) )).
% 39.92/40.16 cnf(matrix-7942, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20038, _u20038)), hAPP(hAPP(c_Product__Type_OPair(_u20038, _u20038), _u20039), _u20040)), hAPP(c_Relation_Oconverse(_u20038, _u20038), c_Transitive__Closure_Otrancl(_u20038, _u20041)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20038, _u20038)), hAPP(hAPP(c_Product__Type_OPair(_u20038, _u20038), _u20039), _u20040)), c_Transitive__Closure_Otrancl(_u20038, hAPP(c_Relation_Oconverse(_u20038, _u20038), _u20041)))) )).
% 39.92/40.16 cnf(matrix-7943, plain, ( ~c_Wellfounded_Owf(_u20042, hAPP(c_Relation_Oconverse(_u20042, _u20042), _u20043)) | c_Wellfounded_Owf(_u20042, hAPP(c_Relation_Oconverse(_u20042, _u20042), c_Transitive__Closure_Otrancl(_u20042, _u20043))) )).
% 39.92/40.16 cnf(matrix-7944, plain, ( ( c_Transitive__Closure_Otrancl(_u20044, hAPP(c_Relation_Oconverse(_u20044, _u20044), _u20045)) = hAPP(c_Relation_Oconverse(_u20044, _u20044), c_Transitive__Closure_Otrancl(_u20044, _u20045))) )).
% 39.92/40.16 cnf(matrix-7945, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20051, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u20053, _u20051, _u20055), _u20057)), _u20059)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20053, tc_HOL_Obool)), _u20057), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u20053, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u20051, _u20053, hAPP(c_Relation_Oconverse(_u20053, _u20051), _u20055)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u20051, tc_HOL_Obool)), _u20059))))) )).
% 39.92/40.16 cnf(matrix-7946, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20054, tc_HOL_Obool)), _u20058), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u20054, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u20052, _u20054, hAPP(c_Relation_Oconverse(_u20054, _u20052), _u20056)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u20052, tc_HOL_Obool)), _u20060))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20052, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u20054, _u20052, _u20056), _u20058)), _u20060)) )).
% 39.92/40.16 cnf(matrix-7947, plain, ( ~c_Relation_Orefl__on(_u20061, _u20062, _u20063) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u20061, _u20061), tc_HOL_Obool)), _u20063), hAPP(hAPP(c_Relation_Orel__comp(_u20061, _u20061, _u20061), hAPP(c_Relation_Oconverse(_u20061, _u20061), _u20063)), _u20063))) )).
% 39.92/40.16 cnf(matrix-7948, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u20064, _u20064, _u20064), hAPP(c_Relation_Oconverse(_u20064, _u20064), _u20065)), _u20065) != _u20065) | ( hAPP(c_Relation_ODomain(_u20064, _u20064), _u20065) != _u20066) | c_Equiv__Relations_Oequiv(_u20064, _u20066, _u20065) )).
% 39.92/40.16 cnf(matrix-7949, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u20067, _u20067)), _u20068)) | ~c_Wellfounded_Oacyclic(_u20067, _u20068) | c_Wellfounded_Owf(_u20067, hAPP(c_Relation_Oconverse(_u20067, _u20067), _u20068)) )).
% 39.92/40.16 cnf(matrix-7950, plain, ( ( hAPP(c_Relation_Oconverse(_u20069, _u20070), _u20071) = hAPP(c_Set_OCollect(tc_prod(_u20070, _u20069)), hAPP(c_Product__Type_Oprod_Oprod__case(_u20070, _u20069, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u20070, tc_fun(tc_prod(_u20069, _u20070), tc_HOL_Obool), tc_fun(_u20069, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u20069, tc_fun(tc_fun(tc_prod(_u20069, _u20070), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u20069, _u20070), tc_HOL_Obool), tc_fun(_u20069, tc_HOL_Obool)), _u20070), c_COMBC(_u20069, tc_fun(tc_prod(_u20069, _u20070), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u20069, tc_prod(_u20069, _u20070)), tc_fun(_u20069, tc_fun(tc_fun(tc_prod(_u20069, _u20070), tc_HOL_Obool), tc_HOL_Obool)), _u20070), hAPP(c_COMBB(tc_prod(_u20069, _u20070), tc_fun(tc_fun(tc_prod(_u20069, _u20070), tc_HOL_Obool), tc_HOL_Obool), _u20069), c_member(tc_prod(_u20069, _u20070)))), hAPP(c_COMBC(_u20069, _u20070, tc_prod(_u20069, _u20070)), c_Product__Type_OPair(_u20069, _u20070))))), _u20071)))) )).
% 39.92/40.16 cnf(matrix-7951, plain, ( ~c_Relation_Osingle__valued(_u20072, _u20073, hAPP(c_Relation_Oconverse(_u20073, _u20072), _u20074)) | ( _u20075 = c_Orderings_Obot__class_Obot(tc_fun(_u20076, tc_HOL_Obool))) | ( hAPP(c_Relation_OImage(_u20073, _u20072, _u20074), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20076, tc_fun(_u20073, tc_HOL_Obool)), _u20075), _u20077)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20076, tc_fun(_u20072, tc_HOL_Obool)), _u20075), hAPP(hAPP(c_COMBB(tc_fun(_u20073, tc_HOL_Obool), tc_fun(_u20072, tc_HOL_Obool), _u20076), c_Relation_OImage(_u20073, _u20072, _u20074)), _u20077))) )).
% 39.92/40.16 cnf(matrix-7952, plain, ( ~c_Relation_Ototal__on(_u20081, _u20083, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u20081, _u20081), tc_HOL_Obool)), _u20085), c_Relation_OId(_u20081))) | c_Relation_Ototal__on(_u20081, _u20083, _u20085) )).
% 39.92/40.16 cnf(matrix-7953, plain, ( ~c_Relation_Ototal__on(_u20082, _u20084, _u20086) | c_Relation_Ototal__on(_u20082, _u20084, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u20082, _u20082), tc_HOL_Obool)), _u20086), c_Relation_OId(_u20082))) )).
% 39.92/40.16 cnf(matrix-7954, plain, ( c_Relation_Osingle__valued(_u20087, _u20087, c_Relation_OId(_u20087)) )).
% 39.92/40.16 cnf(matrix-7955, plain, ( ~c_Relation_Ototal__on(_u20091, _u20093, hAPP(c_Relation_Oconverse(_u20091, _u20091), _u20095)) | c_Relation_Ototal__on(_u20091, _u20093, _u20095) )).
% 39.92/40.16 cnf(matrix-7956, plain, ( ~c_Relation_Ototal__on(_u20092, _u20094, _u20096) | c_Relation_Ototal__on(_u20092, _u20094, hAPP(c_Relation_Oconverse(_u20092, _u20092), _u20096)) )).
% 39.92/40.16 cnf(matrix-7957, plain, ( ~c_Relation_Osingle__valued(_u20097, _u20098, _u20099) | ~c_Relation_Osingle__valued(_u20098, _u20100, _u20101) | c_Relation_Osingle__valued(_u20097, _u20100, hAPP(hAPP(c_Relation_Orel__comp(_u20097, _u20098, _u20100), _u20099), _u20101)) )).
% 39.92/40.16 cnf(matrix-7958, plain, ( c_Relation_Osingle__valued(_u20102, _u20102, c_Relation_OId__on(_u20102, _u20103)) )).
% 39.92/40.16 cnf(matrix-7959, plain, ( c_Relation_Ototal__on(_u20104, c_Orderings_Obot__class_Obot(tc_fun(_u20104, tc_HOL_Obool)), _u20105) )).
% 39.92/40.16 cnf(matrix-7960, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u20106, _u20107), tc_HOL_Obool)), _u20108), _u20109)) | ~c_Relation_Osingle__valued(_u20106, _u20107, _u20109) | c_Relation_Osingle__valued(_u20106, _u20107, _u20108) )).
% 39.92/40.16 cnf(matrix-7961, plain, ( ~c_Relation_Osingle__valued(_u20110, _u20111, _u20112) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20110, _u20111)), hAPP(hAPP(c_Product__Type_OPair(_u20110, _u20111), _u20113), _u20114)), _u20112)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20110, _u20111)), hAPP(hAPP(c_Product__Type_OPair(_u20110, _u20111), _u20113), _u20115)), _u20112)) | ( _u20114 = _u20115) )).
% 39.92/40.16 cnf(matrix-7962, plain, ( ~c_Relation_Osingle__valued(_u20125, _u20127, _u20129) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20125, _u20127)), hAPP(hAPP(c_Product__Type_OPair(_u20125, _u20127), _u20118), _u20117)), _u20129)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20125, _u20127)), hAPP(hAPP(c_Product__Type_OPair(_u20125, _u20127), _u20118), _u20116)), _u20129)) | ( _u20117 = _u20116) )).
% 39.92/40.16 cnf(matrix-7963, plain, ( c_Relation_Osingle__valued(_u20126, _u20128, _u20130) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20126, _u20128)), hAPP(hAPP(c_Product__Type_OPair(_u20126, _u20128), skolem496(_u20130, _u20128, _u20126)), skolem497(_u20130, _u20128, _u20126))), _u20130)) )).
% 39.92/40.16 cnf(matrix-7964, plain, ( c_Relation_Osingle__valued(_u20126, _u20128, _u20130) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20126, _u20128)), hAPP(hAPP(c_Product__Type_OPair(_u20126, _u20128), skolem496(_u20130, _u20128, _u20126)), skolem498(_u20130, _u20128, _u20126))), _u20130)) )).
% 39.92/40.16 cnf(matrix-7965, plain, ( c_Relation_Osingle__valued(_u20126, _u20128, _u20130) | ( skolem497(_u20130, _u20128, _u20126) != skolem498(_u20130, _u20128, _u20126)) )).
% 39.92/40.16 cnf(matrix-7966, plain, ( ~c_Relation_Ototal__on(_u20138, _u20140, _u20142) | ~hBOOL(hAPP(hAPP(c_member(_u20138), _u20132), _u20140)) | ~hBOOL(hAPP(hAPP(c_member(_u20138), _u20131), _u20140)) | ( _u20132 = _u20131) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20138, _u20138)), hAPP(hAPP(c_Product__Type_OPair(_u20138, _u20138), _u20132), _u20131)), _u20142)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20138, _u20138)), hAPP(hAPP(c_Product__Type_OPair(_u20138, _u20138), _u20131), _u20132)), _u20142)) )).
% 39.92/40.16 cnf(matrix-7967, plain, ( c_Relation_Ototal__on(_u20139, _u20141, _u20143) | hBOOL(hAPP(hAPP(c_member(_u20139), skolem499(_u20143, _u20141, _u20139)), _u20141)) )).
% 39.92/40.16 cnf(matrix-7968, plain, ( c_Relation_Ototal__on(_u20139, _u20141, _u20143) | hBOOL(hAPP(hAPP(c_member(_u20139), skolem500(_u20143, _u20141, _u20139)), _u20141)) )).
% 39.92/40.16 cnf(matrix-7969, plain, ( c_Relation_Ototal__on(_u20139, _u20141, _u20143) | ( skolem499(_u20143, _u20141, _u20139) != skolem500(_u20143, _u20141, _u20139)) )).
% 39.92/40.16 cnf(matrix-7970, plain, ( c_Relation_Ototal__on(_u20139, _u20141, _u20143) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20139, _u20139)), hAPP(hAPP(c_Product__Type_OPair(_u20139, _u20139), skolem499(_u20143, _u20141, _u20139)), skolem500(_u20143, _u20141, _u20139))), _u20143)) )).
% 39.92/40.16 cnf(matrix-7971, plain, ( c_Relation_Ototal__on(_u20139, _u20141, _u20143) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20139, _u20139)), hAPP(hAPP(c_Product__Type_OPair(_u20139, _u20139), skolem500(_u20143, _u20141, _u20139)), skolem499(_u20143, _u20141, _u20139))), _u20143)) )).
% 39.92/40.16 cnf(matrix-7972, plain, ( ~c_Relation_Osingle__valued(_u20144, _u20144, _u20145) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20144, _u20144)), hAPP(hAPP(c_Product__Type_OPair(_u20144, _u20144), _u20146), _u20147)), c_Transitive__Closure_Ortrancl(_u20144, _u20145))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20144, _u20144)), hAPP(hAPP(c_Product__Type_OPair(_u20144, _u20144), _u20146), _u20148)), c_Transitive__Closure_Ortrancl(_u20144, _u20145))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20144, _u20144)), hAPP(hAPP(c_Product__Type_OPair(_u20144, _u20144), _u20147), _u20148)), c_Transitive__Closure_Ortrancl(_u20144, _u20145))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20144, _u20144)), hAPP(hAPP(c_Product__Type_OPair(_u20144, _u20144), _u20148), _u20147)), c_Transitive__Closure_Ortrancl(_u20144, _u20145))) )).
% 39.92/40.16 cnf(matrix-7973, plain, ( ~c_Relation_Osingle__valued(_u20149, _u20150, hAPP(c_Relation_Oconverse(_u20150, _u20149), _u20151)) | ( hAPP(c_Relation_OImage(_u20150, _u20149, _u20151), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u20150, tc_HOL_Obool)), _u20152), _u20153)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u20149, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u20150, _u20149, _u20151), _u20152)), hAPP(c_Relation_OImage(_u20150, _u20149, _u20151), _u20153))) )).
% 39.92/40.16 cnf(matrix-7974, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20154, _u20154)), _u20155), c_Transitive__Closure_Ortrancl(_u20154, _u20156))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20154, _u20154)), _u20155), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_prod(_u20154, _u20154), 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(_u20154, _u20154), tc_HOL_Obool), tc_fun(tc_prod(_u20154, _u20154), tc_HOL_Obool)), c_Nat_Ocompow(tc_prod(_u20154, _u20154), tc_HOL_Obool)), _u20156)))) )).
% 39.92/40.16 cnf(matrix-7975, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u20158, _u20158)), hAPP(hAPP(c_Product__Type_OPair(_u20158, _u20158), skolem501(_u20159, _u20158)), skolem501(_u20159, _u20158))), c_Transitive__Closure_Otrancl(_u20158, _u20159))) | c_Wellfounded_Oacyclic(_u20158, _u20159) )).
% 39.92/40.16 cnf(matrix-7976, plain, ( ~c_Relation_Osingle__valued(_u20160, _u20160, _u20161) | c_Relation_Osingle__valued(_u20160, _u20160, hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20160, _u20160), tc_HOL_Obool), _u20162), _u20161)) )).
% 39.92/40.16 cnf(matrix-7977, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(_u20163, _u20163), hAPP(c_Nat_OSuc, _u20164)), _u20165) = hAPP(c_Fun_Ocomp(_u20163, _u20163, _u20163, _u20165), hAPP(hAPP(c_Nat_Ocompow(_u20163, _u20163), _u20164), _u20165))) )).
% 39.92/40.16 cnf(matrix-7978, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(_u20166, _u20166), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u20167), _u20168)), _u20169) = hAPP(c_Fun_Ocomp(_u20166, _u20166, _u20166, hAPP(hAPP(c_Nat_Ocompow(_u20166, _u20166), _u20167), _u20169)), hAPP(hAPP(c_Nat_Ocompow(_u20166, _u20166), _u20168), _u20169))) )).
% 39.92/40.16 cnf(matrix-7979, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_fun(_u20170, _u20171), tc_fun(_u20170, _u20171)), _u20172), c_Fun_Ocomp(_u20171, _u20171, _u20170, _u20173)) = c_Fun_Ocomp(_u20171, _u20171, _u20170, hAPP(hAPP(c_Nat_Ocompow(_u20171, _u20171), _u20172), _u20173))) )).
% 39.92/40.16 cnf(matrix-7980, plain, ( ~c_Wellfounded_Owf(_u20174, hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20174, _u20174), tc_HOL_Obool), _u20175), _u20176)) | c_Wellfounded_Owf(_u20174, _u20176) )).
% 39.92/40.16 cnf(matrix-7981, plain, ( ( hAPP(_u20177, hAPP(hAPP(hAPP(c_Nat_Ocompow(_u20178, _u20178), _u20179), _u20177), _u20180)) = hAPP(hAPP(hAPP(c_Nat_Ocompow(_u20178, _u20178), _u20179), _u20177), hAPP(_u20177, _u20180))) )).
% 39.92/40.16 cnf(matrix-7982, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(_u20181, _u20181), _u20182), hAPP(hAPP(c_Nat_Ocompow(_u20181, _u20181), _u20183), _u20184)) = hAPP(hAPP(c_Nat_Ocompow(_u20181, _u20181), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20183), _u20182)), _u20184)) )).
% 39.92/40.16 cnf(matrix-7983, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u20185, _u20185, _u20185), _u20186), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20185, _u20185), tc_HOL_Obool), _u20187), _u20186)) = hAPP(hAPP(c_Relation_Orel__comp(_u20185, _u20185, _u20185), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20185, _u20185), tc_HOL_Obool), _u20187), _u20186)), _u20186)) )).
% 39.92/40.16 cnf(matrix-7984, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20188, _u20188), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u20189)), _u20190) = hAPP(hAPP(c_Relation_Orel__comp(_u20188, _u20188, _u20188), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20188, _u20188), tc_HOL_Obool), _u20189), _u20190)), _u20190)) )).
% 39.92/40.16 cnf(matrix-7985, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20191, _u20191), tc_HOL_Obool), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u20192) = _u20192) )).
% 39.92/40.16 cnf(matrix-7986, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20193, _u20193), tc_HOL_Obool), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u20194), _u20195)), _u20196) = hAPP(hAPP(c_Relation_Orel__comp(_u20193, _u20193, _u20193), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20193, _u20193), tc_HOL_Obool), _u20194), _u20196)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20193, _u20193), tc_HOL_Obool), _u20195), _u20196))) )).
% 39.92/40.16 cnf(matrix-7987, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20197, _u20197)), hAPP(hAPP(c_Product__Type_OPair(_u20197, _u20197), _u20198), _u20199)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20197, _u20197), tc_HOL_Obool), _u20200), _u20201))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20197, _u20197)), hAPP(hAPP(c_Product__Type_OPair(_u20197, _u20197), _u20199), _u20202)), _u20201)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20197, _u20197)), hAPP(hAPP(c_Product__Type_OPair(_u20197, _u20197), _u20198), _u20202)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20197, _u20197), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u20200)), _u20201))) )).
% 39.92/40.16 cnf(matrix-7988, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20203, _u20203)), hAPP(hAPP(c_Product__Type_OPair(_u20203, _u20203), _u20204), _u20205)), _u20206)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20203, _u20203)), hAPP(hAPP(c_Product__Type_OPair(_u20203, _u20203), _u20205), _u20207)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20203, _u20203), tc_HOL_Obool), _u20208), _u20206))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20203, _u20203)), hAPP(hAPP(c_Product__Type_OPair(_u20203, _u20203), _u20204), _u20207)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20203, _u20203), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u20208)), _u20206))) )).
% 39.92/40.16 cnf(matrix-7989, plain, ( ( _u20210 = _u20211) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20209, _u20209)), hAPP(hAPP(c_Product__Type_OPair(_u20209, _u20209), _u20210), _u20211)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20209, _u20209), tc_HOL_Obool), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u20212))) )).
% 39.92/40.16 cnf(matrix-7990, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u20213, _u20213)), hAPP(hAPP(c_Product__Type_OPair(_u20213, _u20213), _u20214), _u20214)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20213, _u20213), tc_HOL_Obool), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u20215))) )).
% 39.92/40.16 cnf(matrix-7991, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20221, _u20221)), _u20223), c_Transitive__Closure_Ortrancl(_u20221, _u20225))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20221, _u20221)), _u20223), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20221, _u20221), tc_HOL_Obool), skolem502(_u20225, _u20223, _u20221)), _u20225))) )).
% 39.92/40.16 cnf(matrix-7992, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20222, _u20222)), _u20224), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20222, _u20222), tc_HOL_Obool), _u20217), _u20226))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20222, _u20222)), _u20224), c_Transitive__Closure_Ortrancl(_u20222, _u20226))) )).
% 39.92/40.16 cnf(matrix-7993, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20227, _u20227)), _u20228), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20227, _u20227), tc_HOL_Obool), _u20229), _u20230))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20227, _u20227)), _u20228), c_Transitive__Closure_Ortrancl(_u20227, _u20230))) )).
% 39.92/40.16 cnf(matrix-7994, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20231, _u20231), tc_HOL_Obool), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u20232) = c_Relation_OId(_u20231)) )).
% 39.92/40.16 cnf(matrix-7995, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(_u20233, _u20233), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u20234) = c_Fun_Oid(_u20233)) )).
% 39.92/40.16 cnf(matrix-7996, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20240, _u20240)), _u20242), c_Transitive__Closure_Otrancl(_u20240, _u20244))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem503(_u20244, _u20242, _u20240))) )).
% 39.92/40.16 cnf(matrix-7997, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20240, _u20240)), _u20242), c_Transitive__Closure_Otrancl(_u20240, _u20244))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20240, _u20240)), _u20242), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20240, _u20240), tc_HOL_Obool), skolem503(_u20244, _u20242, _u20240)), _u20244))) )).
% 39.92/40.16 cnf(matrix-7998, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u20236)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20241, _u20241)), _u20243), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20241, _u20241), tc_HOL_Obool), _u20236), _u20245))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20241, _u20241)), _u20243), c_Transitive__Closure_Otrancl(_u20241, _u20245))) )).
% 39.92/40.16 cnf(matrix-7999, plain, ( ( c_Transitive__Closure_Ortrancl(_u20246, _u20247) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_prod(_u20246, _u20246), 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(_u20246, _u20246), tc_HOL_Obool), tc_fun(tc_prod(_u20246, _u20246), tc_HOL_Obool)), c_Nat_Ocompow(tc_prod(_u20246, _u20246), tc_HOL_Obool)), _u20247))) )).
% 39.92/40.16 cnf(matrix-8000, plain, ( ( c_Nat_Ofunpow(_u20248) = c_Nat_Ocompow(_u20248, _u20248)) )).
% 39.92/40.16 cnf(matrix-8001, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20251, _u20251)), hAPP(hAPP(c_Product__Type_OPair(_u20251, _u20251), _u20252), _u20253)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20251, _u20251), tc_HOL_Obool), _u20254), _u20255))) | ( _u20254 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u20254 = hAPP(c_Nat_OSuc, skolem505(_u20255, _u20254, _u20253, _u20252, _u20251))) )).
% 39.92/40.16 cnf(matrix-8002, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20251, _u20251)), hAPP(hAPP(c_Product__Type_OPair(_u20251, _u20251), _u20252), _u20253)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20251, _u20251), tc_HOL_Obool), _u20254), _u20255))) | ( _u20254 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20251, _u20251)), hAPP(hAPP(c_Product__Type_OPair(_u20251, _u20251), _u20252), skolem504(_u20255, _u20254, _u20253, _u20252, _u20251))), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20251, _u20251), tc_HOL_Obool), skolem505(_u20255, _u20254, _u20253, _u20252, _u20251)), _u20255))) )).
% 39.92/40.16 cnf(matrix-8003, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20251, _u20251)), hAPP(hAPP(c_Product__Type_OPair(_u20251, _u20251), _u20252), _u20253)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20251, _u20251), tc_HOL_Obool), _u20254), _u20255))) | ( _u20254 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20251, _u20251)), hAPP(hAPP(c_Product__Type_OPair(_u20251, _u20251), skolem504(_u20255, _u20254, _u20253, _u20252, _u20251)), _u20253)), _u20255)) )).
% 39.92/40.16 cnf(matrix-8004, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20251, _u20251)), hAPP(hAPP(c_Product__Type_OPair(_u20251, _u20251), _u20252), _u20253)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20251, _u20251), tc_HOL_Obool), _u20254), _u20255))) | ( _u20252 = _u20253) | ( _u20254 = hAPP(c_Nat_OSuc, skolem505(_u20255, _u20254, _u20253, _u20252, _u20251))) )).
% 39.92/40.16 cnf(matrix-8005, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20251, _u20251)), hAPP(hAPP(c_Product__Type_OPair(_u20251, _u20251), _u20252), _u20253)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20251, _u20251), tc_HOL_Obool), _u20254), _u20255))) | ( _u20252 = _u20253) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20251, _u20251)), hAPP(hAPP(c_Product__Type_OPair(_u20251, _u20251), _u20252), skolem504(_u20255, _u20254, _u20253, _u20252, _u20251))), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20251, _u20251), tc_HOL_Obool), skolem505(_u20255, _u20254, _u20253, _u20252, _u20251)), _u20255))) )).
% 39.92/40.16 cnf(matrix-8006, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20251, _u20251)), hAPP(hAPP(c_Product__Type_OPair(_u20251, _u20251), _u20252), _u20253)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20251, _u20251), tc_HOL_Obool), _u20254), _u20255))) | ( _u20252 = _u20253) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20251, _u20251)), hAPP(hAPP(c_Product__Type_OPair(_u20251, _u20251), skolem504(_u20255, _u20254, _u20253, _u20252, _u20251)), _u20253)), _u20255)) )).
% 39.92/40.16 cnf(matrix-8007, plain, ( ( c_List_Orotate(_u20256, _u20257) = hAPP(hAPP(c_Nat_Ocompow(tc_List_Olist(_u20256), tc_List_Olist(_u20256)), _u20257), c_List_Orotate1(_u20256))) )).
% 39.92/40.16 cnf(matrix-8008, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20260, _u20260)), hAPP(hAPP(c_Product__Type_OPair(_u20260, _u20260), _u20261), _u20262)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20260, _u20260), tc_HOL_Obool), _u20263), _u20264))) | ( _u20263 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u20263 = hAPP(c_Nat_OSuc, skolem507(_u20264, _u20263, _u20262, _u20261, _u20260))) )).
% 39.92/40.16 cnf(matrix-8009, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20260, _u20260)), hAPP(hAPP(c_Product__Type_OPair(_u20260, _u20260), _u20261), _u20262)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20260, _u20260), tc_HOL_Obool), _u20263), _u20264))) | ( _u20263 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20260, _u20260)), hAPP(hAPP(c_Product__Type_OPair(_u20260, _u20260), _u20261), skolem506(_u20264, _u20263, _u20262, _u20261, _u20260))), _u20264)) )).
% 39.92/40.16 cnf(matrix-8010, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20260, _u20260)), hAPP(hAPP(c_Product__Type_OPair(_u20260, _u20260), _u20261), _u20262)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20260, _u20260), tc_HOL_Obool), _u20263), _u20264))) | ( _u20263 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20260, _u20260)), hAPP(hAPP(c_Product__Type_OPair(_u20260, _u20260), skolem506(_u20264, _u20263, _u20262, _u20261, _u20260)), _u20262)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20260, _u20260), tc_HOL_Obool), skolem507(_u20264, _u20263, _u20262, _u20261, _u20260)), _u20264))) )).
% 39.92/40.16 cnf(matrix-8011, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20260, _u20260)), hAPP(hAPP(c_Product__Type_OPair(_u20260, _u20260), _u20261), _u20262)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20260, _u20260), tc_HOL_Obool), _u20263), _u20264))) | ( _u20261 = _u20262) | ( _u20263 = hAPP(c_Nat_OSuc, skolem507(_u20264, _u20263, _u20262, _u20261, _u20260))) )).
% 39.92/40.16 cnf(matrix-8012, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20260, _u20260)), hAPP(hAPP(c_Product__Type_OPair(_u20260, _u20260), _u20261), _u20262)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20260, _u20260), tc_HOL_Obool), _u20263), _u20264))) | ( _u20261 = _u20262) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20260, _u20260)), hAPP(hAPP(c_Product__Type_OPair(_u20260, _u20260), _u20261), skolem506(_u20264, _u20263, _u20262, _u20261, _u20260))), _u20264)) )).
% 39.92/40.16 cnf(matrix-8013, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20260, _u20260)), hAPP(hAPP(c_Product__Type_OPair(_u20260, _u20260), _u20261), _u20262)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20260, _u20260), tc_HOL_Obool), _u20263), _u20264))) | ( _u20261 = _u20262) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20260, _u20260)), hAPP(hAPP(c_Product__Type_OPair(_u20260, _u20260), skolem506(_u20264, _u20263, _u20262, _u20261, _u20260)), _u20262)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20260, _u20260), tc_HOL_Obool), skolem507(_u20264, _u20263, _u20262, _u20261, _u20260)), _u20264))) )).
% 39.92/40.16 cnf(matrix-8014, plain, ( ( c_New__Random__Sequence_Opos__not__random__dseq(_u20265, _u20266, _u20267, _u20268) = c_New__DSequence_Opos__not__seq(hAPP(hAPP(hAPP(_u20265, _u20266), _u20267), _u20268))) )).
% 39.92/40.16 cnf(matrix-8015, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20271, _u20271)), hAPP(hAPP(c_Product__Type_OPair(_u20271, _u20271), _u20272), _u20273)), c_Transitive__Closure_Ortrancl(_u20271, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u20271, _u20271), tc_HOL_Obool)), _u20274), _u20275)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20271, _u20271)), hAPP(hAPP(c_Product__Type_OPair(_u20271, _u20271), _u20272), _u20273)), c_Transitive__Closure_Ortrancl(_u20271, _u20274))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20271, _u20271)), hAPP(hAPP(c_Product__Type_OPair(_u20271, _u20271), _u20272), skolem508(_u20275, _u20274, _u20273, _u20272, _u20271))), c_Transitive__Closure_Ortrancl(_u20271, _u20274))) )).
% 39.92/40.16 cnf(matrix-8016, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20271, _u20271)), hAPP(hAPP(c_Product__Type_OPair(_u20271, _u20271), _u20272), _u20273)), c_Transitive__Closure_Ortrancl(_u20271, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u20271, _u20271), tc_HOL_Obool)), _u20274), _u20275)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20271, _u20271)), hAPP(hAPP(c_Product__Type_OPair(_u20271, _u20271), _u20272), _u20273)), c_Transitive__Closure_Ortrancl(_u20271, _u20274))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20271, _u20271)), hAPP(hAPP(c_Product__Type_OPair(_u20271, _u20271), skolem508(_u20275, _u20274, _u20273, _u20272, _u20271)), skolem509(_u20275, _u20274, _u20273, _u20272, _u20271))), _u20275)) )).
% 39.92/40.16 cnf(matrix-8017, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20271, _u20271)), hAPP(hAPP(c_Product__Type_OPair(_u20271, _u20271), _u20272), _u20273)), c_Transitive__Closure_Ortrancl(_u20271, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u20271, _u20271), tc_HOL_Obool)), _u20274), _u20275)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20271, _u20271)), hAPP(hAPP(c_Product__Type_OPair(_u20271, _u20271), _u20272), _u20273)), c_Transitive__Closure_Ortrancl(_u20271, _u20274))) | ( skolem508(_u20275, _u20274, _u20273, _u20272, _u20271) != skolem509(_u20275, _u20274, _u20273, _u20272, _u20271)) )).
% 39.92/40.16 cnf(matrix-8018, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20278, _u20278)), hAPP(hAPP(c_Product__Type_OPair(_u20278, _u20278), _u20279), _u20280)), c_Transitive__Closure_Ortrancl(_u20278, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u20278, _u20278), tc_HOL_Obool)), _u20281), _u20282)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20278, _u20278)), hAPP(hAPP(c_Product__Type_OPair(_u20278, _u20278), _u20279), _u20280)), c_Transitive__Closure_Ortrancl(_u20278, _u20281))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20278, _u20278)), hAPP(hAPP(c_Product__Type_OPair(_u20278, _u20278), skolem510(_u20282, _u20281, _u20280, _u20279, _u20278)), _u20280)), c_Transitive__Closure_Ortrancl(_u20278, _u20281))) )).
% 39.92/40.16 cnf(matrix-8019, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20278, _u20278)), hAPP(hAPP(c_Product__Type_OPair(_u20278, _u20278), _u20279), _u20280)), c_Transitive__Closure_Ortrancl(_u20278, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u20278, _u20278), tc_HOL_Obool)), _u20281), _u20282)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20278, _u20278)), hAPP(hAPP(c_Product__Type_OPair(_u20278, _u20278), _u20279), _u20280)), c_Transitive__Closure_Ortrancl(_u20278, _u20281))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20278, _u20278)), hAPP(hAPP(c_Product__Type_OPair(_u20278, _u20278), skolem511(_u20282, _u20281, _u20280, _u20279, _u20278)), skolem510(_u20282, _u20281, _u20280, _u20279, _u20278))), _u20282)) )).
% 39.92/40.16 cnf(matrix-8020, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20278, _u20278)), hAPP(hAPP(c_Product__Type_OPair(_u20278, _u20278), _u20279), _u20280)), c_Transitive__Closure_Ortrancl(_u20278, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u20278, _u20278), tc_HOL_Obool)), _u20281), _u20282)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20278, _u20278)), hAPP(hAPP(c_Product__Type_OPair(_u20278, _u20278), _u20279), _u20280)), c_Transitive__Closure_Ortrancl(_u20278, _u20281))) | ( skolem511(_u20282, _u20281, _u20280, _u20279, _u20278) != skolem510(_u20282, _u20281, _u20280, _u20279, _u20278)) )).
% 39.92/40.16 cnf(matrix-8021, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20284, _u20284)), hAPP(hAPP(c_Product__Type_OPair(_u20284, _u20284), _u20285), _u20286)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20284, _u20284), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u20287)), _u20288))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20284, _u20284)), hAPP(hAPP(c_Product__Type_OPair(_u20284, _u20284), _u20285), skolem512(_u20288, _u20287, _u20286, _u20285, _u20284))), _u20288)) )).
% 39.92/40.16 cnf(matrix-8022, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20284, _u20284)), hAPP(hAPP(c_Product__Type_OPair(_u20284, _u20284), _u20285), _u20286)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20284, _u20284), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u20287)), _u20288))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20284, _u20284)), hAPP(hAPP(c_Product__Type_OPair(_u20284, _u20284), skolem512(_u20288, _u20287, _u20286, _u20285, _u20284)), _u20286)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20284, _u20284), tc_HOL_Obool), _u20287), _u20288))) )).
% 39.92/40.16 cnf(matrix-8023, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20290, _u20290)), hAPP(hAPP(c_Product__Type_OPair(_u20290, _u20290), _u20291), _u20292)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20290, _u20290), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u20293)), _u20294))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20290, _u20290)), hAPP(hAPP(c_Product__Type_OPair(_u20290, _u20290), _u20291), skolem513(_u20294, _u20293, _u20292, _u20291, _u20290))), _u20294)) )).
% 39.92/40.16 cnf(matrix-8024, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20290, _u20290)), hAPP(hAPP(c_Product__Type_OPair(_u20290, _u20290), _u20291), _u20292)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20290, _u20290), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u20293)), _u20294))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20290, _u20290)), hAPP(hAPP(c_Product__Type_OPair(_u20290, _u20290), skolem513(_u20294, _u20293, _u20292, _u20291, _u20290)), _u20292)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20290, _u20290), tc_HOL_Obool), _u20293), _u20294))) )).
% 39.92/40.16 cnf(matrix-8025, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20296, _u20296)), hAPP(hAPP(c_Product__Type_OPair(_u20296, _u20296), _u20297), _u20298)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20296, _u20296), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u20299)), _u20300))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20296, _u20296)), hAPP(hAPP(c_Product__Type_OPair(_u20296, _u20296), _u20297), skolem514(_u20300, _u20299, _u20298, _u20297, _u20296))), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20296, _u20296), tc_HOL_Obool), _u20299), _u20300))) )).
% 39.92/40.16 cnf(matrix-8026, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20296, _u20296)), hAPP(hAPP(c_Product__Type_OPair(_u20296, _u20296), _u20297), _u20298)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u20296, _u20296), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u20299)), _u20300))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20296, _u20296)), hAPP(hAPP(c_Product__Type_OPair(_u20296, _u20296), skolem514(_u20300, _u20299, _u20298, _u20297, _u20296)), _u20298)), _u20300)) )).
% 39.92/40.16 cnf(matrix-8027, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20302, _u20302)), hAPP(hAPP(c_Product__Type_OPair(_u20302, _u20302), _u20303), _u20304)), c_Transitive__Closure_Otrancl(_u20302, _u20305))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20302, _u20302)), hAPP(hAPP(c_Product__Type_OPair(_u20302, _u20302), _u20303), skolem515(_u20305, _u20304, _u20303, _u20302))), c_Transitive__Closure_Ortrancl(_u20302, _u20305))) )).
% 39.92/40.16 cnf(matrix-8028, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20302, _u20302)), hAPP(hAPP(c_Product__Type_OPair(_u20302, _u20302), _u20303), _u20304)), c_Transitive__Closure_Otrancl(_u20302, _u20305))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20302, _u20302)), hAPP(hAPP(c_Product__Type_OPair(_u20302, _u20302), skolem515(_u20305, _u20304, _u20303, _u20302)), _u20304)), _u20305)) )).
% 39.92/40.16 cnf(matrix-8029, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20307, _u20307)), hAPP(hAPP(c_Product__Type_OPair(_u20307, _u20307), _u20308), _u20309)), c_Transitive__Closure_Otrancl(_u20307, _u20310))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20307, _u20307)), hAPP(hAPP(c_Product__Type_OPair(_u20307, _u20307), _u20308), skolem516(_u20310, _u20309, _u20308, _u20307))), _u20310)) )).
% 39.92/40.16 cnf(matrix-8030, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20307, _u20307)), hAPP(hAPP(c_Product__Type_OPair(_u20307, _u20307), _u20308), _u20309)), c_Transitive__Closure_Otrancl(_u20307, _u20310))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20307, _u20307)), hAPP(hAPP(c_Product__Type_OPair(_u20307, _u20307), skolem516(_u20310, _u20309, _u20308, _u20307)), _u20309)), c_Transitive__Closure_Ortrancl(_u20307, _u20310))) )).
% 39.92/40.16 cnf(matrix-8031, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20312, _u20312)), _u20313), c_Relation_OId(_u20312))) | ( _u20313 = hAPP(hAPP(c_Product__Type_OPair(_u20312, _u20312), skolem517(_u20313, _u20312)), skolem517(_u20313, _u20312))) )).
% 39.92/40.16 cnf(matrix-8032, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20316), skolem518(_u20319, _u20318, _u20317, _u20316))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20316), _u20317)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u20318, _u20316)), _u20319)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u20319), hAPP(_u20318, _u20317))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20316), skolem519(_u20319, _u20318, _u20317, _u20316))) )).
% 39.92/40.16 cnf(matrix-8033, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20316), skolem518(_u20319, _u20318, _u20317, _u20316))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20316), _u20317)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u20318, _u20316)), _u20319)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u20319), hAPP(_u20318, _u20317))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem519(_u20319, _u20318, _u20317, _u20316)), _u20317)) )).
% 39.92/40.16 cnf(matrix-8034, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20316), skolem518(_u20319, _u20318, _u20317, _u20316))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20316), _u20317)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u20318, _u20316)), _u20319)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u20319), hAPP(_u20318, _u20317))) | ( hAPP(_u20318, skolem519(_u20319, _u20318, _u20317, _u20316)) = _u20319) )).
% 39.92/40.16 cnf(matrix-8035, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem518(_u20319, _u20318, _u20317, _u20316)), _u20317)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20316), _u20317)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u20318, _u20316)), _u20319)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u20319), hAPP(_u20318, _u20317))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20316), skolem519(_u20319, _u20318, _u20317, _u20316))) )).
% 39.92/40.16 cnf(matrix-8036, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem518(_u20319, _u20318, _u20317, _u20316)), _u20317)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20316), _u20317)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u20318, _u20316)), _u20319)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u20319), hAPP(_u20318, _u20317))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem519(_u20319, _u20318, _u20317, _u20316)), _u20317)) )).
% 39.92/40.16 cnf(matrix-8037, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem518(_u20319, _u20318, _u20317, _u20316)), _u20317)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20316), _u20317)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u20318, _u20316)), _u20319)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u20319), hAPP(_u20318, _u20317))) | ( hAPP(_u20318, skolem519(_u20319, _u20318, _u20317, _u20316)) = _u20319) )).
% 39.92/40.16 cnf(matrix-8038, 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(_u20318, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem518(_u20319, _u20318, _u20317, _u20316)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u20318, skolem518(_u20319, _u20318, _u20317, _u20316))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20316), _u20317)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u20318, _u20316)), _u20319)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u20319), hAPP(_u20318, _u20317))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20316), skolem519(_u20319, _u20318, _u20317, _u20316))) )).
% 39.92/40.16 cnf(matrix-8039, 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(_u20318, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem518(_u20319, _u20318, _u20317, _u20316)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u20318, skolem518(_u20319, _u20318, _u20317, _u20316))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20316), _u20317)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u20318, _u20316)), _u20319)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u20319), hAPP(_u20318, _u20317))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem519(_u20319, _u20318, _u20317, _u20316)), _u20317)) )).
% 39.92/40.16 cnf(matrix-8040, 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(_u20318, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem518(_u20319, _u20318, _u20317, _u20316)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u20318, skolem518(_u20319, _u20318, _u20317, _u20316))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20316), _u20317)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u20318, _u20316)), _u20319)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u20319), hAPP(_u20318, _u20317))) | ( hAPP(_u20318, skolem519(_u20319, _u20318, _u20317, _u20316)) = _u20319) )).
% 39.92/40.16 cnf(matrix-8041, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u20327), _u20329), hAPP(c_List_Oset(_u20327), _u20331))) | ( _u20331 = hAPP(hAPP(c_List_Oappend(_u20327), skolem520(_u20331, _u20329, _u20327)), hAPP(hAPP(c_List_Olist_OCons(_u20327), _u20329), skolem521(_u20331, _u20329, _u20327)))) )).
% 39.92/40.16 cnf(matrix-8042, plain, ( ( _u20332 != hAPP(hAPP(c_List_Oappend(_u20328), _u20323), hAPP(hAPP(c_List_Olist_OCons(_u20328), _u20330), _u20322))) | hBOOL(hAPP(hAPP(c_member(_u20328), _u20330), hAPP(c_List_Oset(_u20328), _u20332))) )).
% 39.92/40.16 cnf(matrix-8043, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u20340), _u20342), hAPP(c_List_Oset(_u20340), _u20344))) | ( _u20344 = hAPP(hAPP(c_List_Oappend(_u20340), skolem522(_u20344, _u20342, _u20340)), hAPP(hAPP(c_List_Olist_OCons(_u20340), _u20342), skolem523(_u20344, _u20342, _u20340)))) )).
% 39.92/40.16 cnf(matrix-8044, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u20340), _u20342), hAPP(c_List_Oset(_u20340), _u20344))) | ~hBOOL(hAPP(hAPP(c_member(_u20340), _u20342), hAPP(c_List_Oset(_u20340), skolem522(_u20344, _u20342, _u20340)))) )).
% 39.92/40.16 cnf(matrix-8045, plain, ( ( _u20345 != hAPP(hAPP(c_List_Oappend(_u20341), _u20336), hAPP(hAPP(c_List_Olist_OCons(_u20341), _u20343), _u20335))) | hBOOL(hAPP(hAPP(c_member(_u20341), _u20343), hAPP(c_List_Oset(_u20341), _u20336))) | hBOOL(hAPP(hAPP(c_member(_u20341), _u20343), hAPP(c_List_Oset(_u20341), _u20345))) )).
% 39.92/40.16 cnf(matrix-8046, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u20353), _u20355), hAPP(c_List_Oset(_u20353), _u20357))) | ( _u20357 = hAPP(hAPP(c_List_Oappend(_u20353), skolem524(_u20357, _u20355, _u20353)), hAPP(hAPP(c_List_Olist_OCons(_u20353), _u20355), skolem525(_u20357, _u20355, _u20353)))) )).
% 39.92/40.16 cnf(matrix-8047, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u20353), _u20355), hAPP(c_List_Oset(_u20353), _u20357))) | ~hBOOL(hAPP(hAPP(c_member(_u20353), _u20355), hAPP(c_List_Oset(_u20353), skolem525(_u20357, _u20355, _u20353)))) )).
% 39.92/40.16 cnf(matrix-8048, plain, ( ( _u20358 != hAPP(hAPP(c_List_Oappend(_u20354), _u20349), hAPP(hAPP(c_List_Olist_OCons(_u20354), _u20356), _u20348))) | hBOOL(hAPP(hAPP(c_member(_u20354), _u20356), hAPP(c_List_Oset(_u20354), _u20348))) | hBOOL(hAPP(hAPP(c_member(_u20354), _u20356), hAPP(c_List_Oset(_u20354), _u20358))) )).
% 39.92/40.16 cnf(matrix-8049, plain, ( ~class_Orderings_Olinorder(_u20359) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20359), _u20360)) | hBOOL(hAPP(hAPP(c_member(_u20359), _u20361), _u20360)) | ( c_Big__Operators_Olattice_OSup__fin(_u20359, c_Orderings_Oord__class_Omax(_u20359), hAPP(hAPP(c_Set_Oinsert(_u20359), _u20361), _u20360)) = hAPP(hAPP(c_Finite__Set_Ofold(_u20359, _u20359, c_Orderings_Oord__class_Omax(_u20359)), _u20361), _u20360)) )).
% 39.92/40.16 cnf(matrix-8050, plain, ( ~class_Orderings_Olinorder(_u20362) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20362), _u20363)) | hBOOL(hAPP(hAPP(c_member(_u20362), _u20364), _u20363)) | ( c_Big__Operators_Olattice_OInf__fin(_u20362, c_Orderings_Oord__class_Omin(_u20362), hAPP(hAPP(c_Set_Oinsert(_u20362), _u20364), _u20363)) = hAPP(hAPP(c_Finite__Set_Ofold(_u20362, _u20362, c_Orderings_Oord__class_Omin(_u20362)), _u20364), _u20363)) )).
% 39.92/40.16 cnf(matrix-8051, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u20365) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20366), _u20367)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u20365), _u20368), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20366, _u20365), _u20367), _u20369)) = hAPP(hAPP(c_Finite__Set_Ofold(_u20366, _u20365, hAPP(hAPP(c_COMBB(_u20365, tc_fun(_u20365, _u20365), _u20366), c_Lattices_Osemilattice__sup__class_Osup(_u20365)), _u20369)), _u20368), _u20367)) )).
% 39.92/40.16 cnf(matrix-8052, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u20370) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20371), _u20372)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u20370), _u20373), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20371, _u20370), _u20372), _u20374)) = hAPP(hAPP(c_Finite__Set_Ofold(_u20371, _u20370, hAPP(hAPP(c_COMBB(_u20370, tc_fun(_u20370, _u20370), _u20371), c_Lattices_Osemilattice__inf__class_Oinf(_u20370)), _u20374)), _u20373), _u20372)) )).
% 39.92/40.16 cnf(matrix-8053, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u20375) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20375), _u20376)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u20375), _u20377), c_Complete__Lattice_OSup__class_OSup(_u20375, _u20376)) = hAPP(hAPP(c_Finite__Set_Ofold(_u20375, _u20375, c_Lattices_Osemilattice__sup__class_Osup(_u20375)), _u20377), _u20376)) )).
% 39.92/40.16 cnf(matrix-8054, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20378), _u20379)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u20378, tc_HOL_Obool)), _u20379), _u20380) = hAPP(hAPP(c_Finite__Set_Ofold(_u20378, tc_fun(_u20378, tc_HOL_Obool), c_Set_Oinsert(_u20378)), _u20380), _u20379)) )).
% 39.92/40.16 cnf(matrix-8055, plain, ( ~class_Lattices_Osemilattice__sup(_u20381) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20381), _u20382)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u20381, _u20381, c_Lattices_Osemilattice__sup__class_Osup(_u20381)), _u20383), hAPP(hAPP(c_Set_Oinsert(_u20381), _u20384), _u20382)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u20381), _u20384), hAPP(hAPP(c_Finite__Set_Ofold(_u20381, _u20381, c_Lattices_Osemilattice__sup__class_Osup(_u20381)), _u20383), _u20382))) )).
% 39.92/40.16 cnf(matrix-8056, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u20385) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20385), _u20386)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u20385), _u20387), c_Complete__Lattice_OInf__class_OInf(_u20385, _u20386)) = hAPP(hAPP(c_Finite__Set_Ofold(_u20385, _u20385, c_Lattices_Osemilattice__inf__class_Oinf(_u20385)), _u20387), _u20386)) )).
% 39.92/40.16 cnf(matrix-8057, plain, ( ( hAPP(hAPP(c_Finite__Set_Ofold(_u20388, _u20389, _u20390), _u20391), _u20392) = c_HOL_OThe(_u20389, c_Finite__Set_Ofold__graph(_u20388, _u20389, _u20390, _u20391, _u20392))) )).
% 39.92/40.16 cnf(matrix-8058, plain, ( ( hAPP(hAPP(c_Finite__Set_Ofold(_u20393, _u20394, _u20395), _u20396), c_Orderings_Obot__class_Obot(tc_fun(_u20393, tc_HOL_Obool))) = _u20396) )).
% 39.92/40.16 cnf(matrix-8059, plain, ( ( hAPP(c_Finite__Set_Ofold__image(_u20397, _u20398, _u20399), _u20400) = c_Finite__Set_Ofold(_u20398, _u20397, hAPP(hAPP(c_COMBB(_u20397, tc_fun(_u20397, _u20397), _u20398), _u20399), _u20400))) )).
% 39.92/40.16 cnf(matrix-8060, plain, ( ~c_Finite__Set_Ofolding(_u20401, _u20402, _u20403, _u20404) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20401), _u20405)) | ( hAPP(hAPP(_u20404, _u20405), _u20406) = hAPP(hAPP(c_Finite__Set_Ofold(_u20401, _u20402, _u20403), _u20406), _u20405)) )).
% 39.92/40.16 cnf(matrix-8061, plain, ( ~class_Orderings_Olinorder(_u20407) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20407), _u20408)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u20407, _u20407, c_Orderings_Oord__class_Omax(_u20407)), _u20409), hAPP(hAPP(c_Set_Oinsert(_u20407), _u20410), _u20408)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u20407), _u20410), hAPP(hAPP(c_Finite__Set_Ofold(_u20407, _u20407, c_Orderings_Oord__class_Omax(_u20407)), _u20409), _u20408))) )).
% 39.92/40.16 cnf(matrix-8062, plain, ( ~class_Orderings_Olinorder(_u20411) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20411), _u20412)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u20411, _u20411, c_Orderings_Oord__class_Omin(_u20411)), _u20413), hAPP(hAPP(c_Set_Oinsert(_u20411), _u20414), _u20412)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u20411), _u20414), hAPP(hAPP(c_Finite__Set_Ofold(_u20411, _u20411, c_Orderings_Oord__class_Omin(_u20411)), _u20413), _u20412))) )).
% 39.92/40.16 cnf(matrix-8063, plain, ( ~class_Lattices_Osemilattice__inf(_u20415) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20415), _u20416)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u20415, _u20415, c_Lattices_Osemilattice__inf__class_Oinf(_u20415)), _u20417), hAPP(hAPP(c_Set_Oinsert(_u20415), _u20418), _u20416)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u20415), _u20418), hAPP(hAPP(c_Finite__Set_Ofold(_u20415, _u20415, c_Lattices_Osemilattice__inf__class_Oinf(_u20415)), _u20417), _u20416))) )).
% 39.92/40.16 cnf(matrix-8064, plain, ( ~c_Finite__Set_Ofun__left__comm__idem(_u20419, _u20420, _u20421) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20419), _u20422)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u20419, _u20420, _u20421), _u20423), hAPP(hAPP(c_Set_Oinsert(_u20419), _u20424), _u20422)) = hAPP(hAPP(_u20421, _u20424), hAPP(hAPP(c_Finite__Set_Ofold(_u20419, _u20420, _u20421), _u20423), _u20422))) )).
% 39.92/40.16 cnf(matrix-8065, plain, ( ~c_Finite__Set_Ofun__left__comm__idem(_u20425, _u20426, _u20427) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20425), _u20428)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u20425, _u20426, _u20427), _u20429), hAPP(hAPP(c_Set_Oinsert(_u20425), _u20430), _u20428)) = hAPP(hAPP(c_Finite__Set_Ofold(_u20425, _u20426, _u20427), hAPP(hAPP(_u20427, _u20430), _u20429)), _u20428)) )).
% 39.92/40.16 cnf(matrix-8066, plain, ( ~c_Finite__Set_Ofolding__one__idem(_u20431, _u20432, _u20433) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20431), _u20434)) | ( hAPP(_u20433, hAPP(hAPP(c_Set_Oinsert(_u20431), _u20435), _u20434)) = hAPP(hAPP(c_Finite__Set_Ofold(_u20431, _u20431, _u20432), _u20435), _u20434)) )).
% 39.92/40.16 cnf(matrix-8067, plain, ( ~c_Finite__Set_Ofun__left__comm__idem(_u20436, _u20437, _u20438) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u20436, _u20437, _u20438), _u20439), hAPP(c_List_Oset(_u20436), _u20440)) = hAPP(c_List_Ofoldl(_u20437, _u20436, hAPP(c_COMBC(_u20436, _u20437, _u20437), _u20438), _u20439), _u20440)) )).
% 39.92/40.16 cnf(matrix-8068, plain, ( ~class_Lattices_Osemilattice__sup(_u20441) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20441), _u20442)) | ~hBOOL(hAPP(hAPP(c_member(_u20441), _u20443), _u20442)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20441), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u20441), _u20443), _u20444)), hAPP(hAPP(c_Finite__Set_Ofold(_u20441, _u20441, c_Lattices_Osemilattice__sup__class_Osup(_u20441)), _u20444), _u20442))) )).
% 39.92/40.16 cnf(matrix-8069, plain, ( ~class_Lattices_Osemilattice__inf(_u20445) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20445), _u20446)) | ~hBOOL(hAPP(hAPP(c_member(_u20445), _u20447), _u20446)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20445), hAPP(hAPP(c_Finite__Set_Ofold(_u20445, _u20445, c_Lattices_Osemilattice__inf__class_Oinf(_u20445)), _u20448), _u20446)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u20445), _u20447), _u20448))) )).
% 39.92/40.16 cnf(matrix-8070, plain, ( ~class_Orderings_Olinorder(_u20449) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20449), _u20450)) | ~hBOOL(hAPP(hAPP(c_member(_u20449), _u20451), _u20450)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20449), hAPP(hAPP(c_Finite__Set_Ofold(_u20449, _u20449, c_Orderings_Oord__class_Omin(_u20449)), _u20452), _u20450)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u20449), _u20451), _u20452))) )).
% 39.92/40.16 cnf(matrix-8071, plain, ( ~class_Orderings_Olinorder(_u20453) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20453), _u20454)) | ~hBOOL(hAPP(hAPP(c_member(_u20453), _u20455), _u20454)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20453), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u20453), _u20455), _u20456)), hAPP(hAPP(c_Finite__Set_Ofold(_u20453, _u20453, c_Orderings_Oord__class_Omax(_u20453)), _u20456), _u20454))) )).
% 39.92/40.16 cnf(matrix-8072, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u20457) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20457), _u20458)) | ( c_Complete__Lattice_OSup__class_OSup(_u20457, _u20458) = hAPP(hAPP(c_Finite__Set_Ofold(_u20457, _u20457, c_Lattices_Osemilattice__sup__class_Osup(_u20457)), c_Orderings_Obot__class_Obot(_u20457)), _u20458)) )).
% 39.92/40.16 cnf(matrix-8073, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u20459) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20459), _u20460)) | ( c_Complete__Lattice_OInf__class_OInf(_u20459, _u20460) = hAPP(hAPP(c_Finite__Set_Ofold(_u20459, _u20459, c_Lattices_Osemilattice__inf__class_Oinf(_u20459)), c_Orderings_Otop__class_Otop(_u20459)), _u20460)) )).
% 39.92/40.16 cnf(matrix-8074, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u20461) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20461), _u20462)) | ( hAPP(c_Finite__Set_Ofold1(_u20461, c_Groups_Otimes__class_Otimes(_u20461)), hAPP(hAPP(c_Set_Oinsert(_u20461), _u20463), _u20462)) = hAPP(hAPP(c_Finite__Set_Ofold(_u20461, _u20461, c_Groups_Otimes__class_Otimes(_u20461)), _u20463), _u20462)) )).
% 39.92/40.16 cnf(matrix-8075, plain, ( ~class_Lattices_Olattice(_u20464) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20464), _u20465)) | ( c_Big__Operators_Olattice__class_OSup__fin(_u20464, hAPP(hAPP(c_Set_Oinsert(_u20464), _u20466), _u20465)) = hAPP(hAPP(c_Finite__Set_Ofold(_u20464, _u20464, c_Lattices_Osemilattice__sup__class_Osup(_u20464)), _u20466), _u20465)) )).
% 39.92/40.16 cnf(matrix-8076, plain, ( ~class_Lattices_Olattice(_u20467) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20467), _u20468)) | ( c_Big__Operators_Olattice__class_OInf__fin(_u20467, hAPP(hAPP(c_Set_Oinsert(_u20467), _u20469), _u20468)) = hAPP(hAPP(c_Finite__Set_Ofold(_u20467, _u20467, c_Lattices_Osemilattice__inf__class_Oinf(_u20467)), _u20469), _u20468)) )).
% 39.92/40.16 cnf(matrix-8077, plain, ( ~class_Orderings_Olinorder(_u20470) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20470), _u20471)) | ( c_Big__Operators_Olinorder__class_OMin(_u20470, hAPP(hAPP(c_Set_Oinsert(_u20470), _u20472), _u20471)) = hAPP(hAPP(c_Finite__Set_Ofold(_u20470, _u20470, c_Orderings_Oord__class_Omin(_u20470)), _u20472), _u20471)) )).
% 39.92/40.16 cnf(matrix-8078, plain, ( ~class_Orderings_Olinorder(_u20473) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20473), _u20474)) | ( c_Big__Operators_Olinorder__class_OMax(_u20473, hAPP(hAPP(c_Set_Oinsert(_u20473), _u20475), _u20474)) = hAPP(hAPP(c_Finite__Set_Ofold(_u20473, _u20473, c_Orderings_Oord__class_Omax(_u20473)), _u20475), _u20474)) )).
% 39.92/40.16 cnf(matrix-8079, plain, ( ~class_Orderings_Olinorder(_u20476) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20476), _u20477)) | ( c_Big__Operators_Olattice_OInf__fin(_u20476, c_Orderings_Oord__class_Omin(_u20476), hAPP(hAPP(c_Set_Oinsert(_u20476), _u20478), _u20477)) = hAPP(hAPP(c_Finite__Set_Ofold(_u20476, _u20476, c_Orderings_Oord__class_Omin(_u20476)), _u20478), _u20477)) )).
% 39.92/40.16 cnf(matrix-8080, plain, ( ~class_Orderings_Olinorder(_u20479) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20479), _u20480)) | ( c_Big__Operators_Olattice_OSup__fin(_u20479, c_Orderings_Oord__class_Omax(_u20479), hAPP(hAPP(c_Set_Oinsert(_u20479), _u20481), _u20480)) = hAPP(hAPP(c_Finite__Set_Ofold(_u20479, _u20479, c_Orderings_Oord__class_Omax(_u20479)), _u20481), _u20480)) )).
% 39.92/40.16 cnf(matrix-8081, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20482), _u20483)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u20482, tc_HOL_Obool)), _u20484), _u20483) = hAPP(hAPP(c_Finite__Set_Ofold(_u20482, tc_fun(_u20482, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u20482, tc_HOL_Obool), tc_fun(tc_fun(_u20482, tc_HOL_Obool), tc_fun(_u20482, tc_HOL_Obool)), _u20482), hAPP(c_COMBC(tc_fun(_u20482, tc_HOL_Obool), tc_fun(_u20482, tc_HOL_Obool), tc_fun(_u20482, tc_HOL_Obool)), c_Groups_Ominus__class_Ominus(tc_fun(_u20482, tc_HOL_Obool)))), hAPP(hAPP(c_COMBC(_u20482, tc_fun(_u20482, tc_HOL_Obool), tc_fun(_u20482, tc_HOL_Obool)), c_Set_Oinsert(_u20482)), c_Orderings_Obot__class_Obot(tc_fun(_u20482, tc_HOL_Obool))))), _u20484), _u20483)) )).
% 39.92/40.16 cnf(matrix-8082, plain, ( ~c_Finite__Set_Ofolding__one(_u20485, _u20486, _u20487) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20485), _u20488)) | hBOOL(hAPP(hAPP(c_member(_u20485), _u20489), _u20488)) | ( hAPP(_u20487, hAPP(hAPP(c_Set_Oinsert(_u20485), _u20489), _u20488)) = hAPP(hAPP(c_Finite__Set_Ofold(_u20485, _u20485, _u20486), _u20489), _u20488)) )).
% 39.92/40.16 cnf(matrix-8083, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u20490) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20491), _u20492)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20491, _u20490), _u20492), _u20493) = hAPP(hAPP(c_Finite__Set_Ofold(_u20491, _u20490, hAPP(hAPP(c_COMBB(_u20490, tc_fun(_u20490, _u20490), _u20491), c_Lattices_Osemilattice__sup__class_Osup(_u20490)), _u20493)), c_Orderings_Obot__class_Obot(_u20490)), _u20492)) )).
% 39.92/40.16 cnf(matrix-8084, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u20494) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20495), _u20496)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20495, _u20494), _u20496), _u20497) = hAPP(hAPP(c_Finite__Set_Ofold(_u20495, _u20494, hAPP(hAPP(c_COMBB(_u20494, tc_fun(_u20494, _u20494), _u20495), c_Lattices_Osemilattice__inf__class_Oinf(_u20494)), _u20497)), c_Orderings_Otop__class_Otop(_u20494)), _u20496)) )).
% 39.92/40.16 cnf(matrix-8085, plain, ( ~class_Groups_Oab__semigroup__mult(_u20498) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20498), _u20499)) | hBOOL(hAPP(hAPP(c_member(_u20498), _u20500), _u20499)) | ( hAPP(c_Finite__Set_Ofold1(_u20498, c_Groups_Otimes__class_Otimes(_u20498)), hAPP(hAPP(c_Set_Oinsert(_u20498), _u20500), _u20499)) = hAPP(hAPP(c_Finite__Set_Ofold(_u20498, _u20498, c_Groups_Otimes__class_Otimes(_u20498)), _u20500), _u20499)) )).
% 39.92/40.16 cnf(matrix-8086, plain, ( ~class_Lattices_Olattice(_u20501) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20501), _u20502)) | hBOOL(hAPP(hAPP(c_member(_u20501), _u20503), _u20502)) | ( c_Big__Operators_Olattice__class_OSup__fin(_u20501, hAPP(hAPP(c_Set_Oinsert(_u20501), _u20503), _u20502)) = hAPP(hAPP(c_Finite__Set_Ofold(_u20501, _u20501, c_Lattices_Osemilattice__sup__class_Osup(_u20501)), _u20503), _u20502)) )).
% 39.92/40.16 cnf(matrix-8087, plain, ( ~class_Lattices_Olattice(_u20504) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20504), _u20505)) | hBOOL(hAPP(hAPP(c_member(_u20504), _u20506), _u20505)) | ( c_Big__Operators_Olattice__class_OInf__fin(_u20504, hAPP(hAPP(c_Set_Oinsert(_u20504), _u20506), _u20505)) = hAPP(hAPP(c_Finite__Set_Ofold(_u20504, _u20504, c_Lattices_Osemilattice__inf__class_Oinf(_u20504)), _u20506), _u20505)) )).
% 39.92/40.16 cnf(matrix-8088, plain, ( ~class_Orderings_Olinorder(_u20507) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20507), _u20508)) | hBOOL(hAPP(hAPP(c_member(_u20507), _u20509), _u20508)) | ( c_Big__Operators_Olinorder__class_OMin(_u20507, hAPP(hAPP(c_Set_Oinsert(_u20507), _u20509), _u20508)) = hAPP(hAPP(c_Finite__Set_Ofold(_u20507, _u20507, c_Orderings_Oord__class_Omin(_u20507)), _u20509), _u20508)) )).
% 39.92/40.16 cnf(matrix-8089, plain, ( ~class_Orderings_Olinorder(_u20510) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20510), _u20511)) | hBOOL(hAPP(hAPP(c_member(_u20510), _u20512), _u20511)) | ( c_Big__Operators_Olinorder__class_OMax(_u20510, hAPP(hAPP(c_Set_Oinsert(_u20510), _u20512), _u20511)) = hAPP(hAPP(c_Finite__Set_Ofold(_u20510, _u20510, c_Orderings_Oord__class_Omax(_u20510)), _u20512), _u20511)) )).
% 39.92/40.16 cnf(matrix-8090, plain, ( ~c_Finite__Set_Ofun__left__comm(_u20513, _u20514, _u20515) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20513), _u20516)) | ~hBOOL(hAPP(hAPP(c_member(_u20513), _u20517), _u20516)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u20513, _u20514, _u20515), _u20518), _u20516) = hAPP(hAPP(_u20515, _u20517), hAPP(hAPP(c_Finite__Set_Ofold(_u20513, _u20514, _u20515), _u20518), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u20513, tc_HOL_Obool)), _u20516), hAPP(hAPP(c_Set_Oinsert(_u20513), _u20517), c_Orderings_Obot__class_Obot(tc_fun(_u20513, tc_HOL_Obool))))))) )).
% 39.92/40.16 cnf(matrix-8091, plain, ( ~c_Finite__Set_Ofun__left__comm(_u20519, _u20520, _u20521) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20519), _u20522)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u20519, _u20520, _u20521), _u20523), hAPP(hAPP(c_Set_Oinsert(_u20519), _u20524), _u20522)) = hAPP(hAPP(_u20521, _u20524), hAPP(hAPP(c_Finite__Set_Ofold(_u20519, _u20520, _u20521), _u20523), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u20519, tc_HOL_Obool)), _u20522), hAPP(hAPP(c_Set_Oinsert(_u20519), _u20524), c_Orderings_Obot__class_Obot(tc_fun(_u20519, tc_HOL_Obool))))))) )).
% 39.92/40.16 cnf(matrix-8092, plain, ( ~c_Finite__Set_Ofun__left__comm(_u20525, _u20526, _u20527) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20525), _u20528)) | ( hAPP(hAPP(_u20527, _u20529), hAPP(hAPP(c_Finite__Set_Ofold(_u20525, _u20526, _u20527), _u20530), _u20528)) = hAPP(hAPP(c_Finite__Set_Ofold(_u20525, _u20526, _u20527), hAPP(hAPP(_u20527, _u20529), _u20530)), _u20528)) )).
% 39.92/40.16 cnf(matrix-8093, plain, ( ( hAPP(c_Fun_Ocomp(_u20532, _u20532, _u20532, hAPP(_u20533, _u20534)), hAPP(_u20533, _u20535)) = hAPP(c_Fun_Ocomp(_u20532, _u20532, _u20532, hAPP(_u20533, _u20535)), hAPP(_u20533, _u20534))) | ~c_Finite__Set_Ofun__left__comm(_u20531, _u20532, _u20533) )).
% 39.92/40.16 cnf(matrix-8094, plain, ( ~c_Finite__Set_Ofun__left__comm(_u20536, _u20537, _u20538) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u20536, _u20537, _u20538, _u20539, _u20540), _u20541)) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u20536, _u20537, _u20538, _u20539, _u20540), _u20542)) | ( _u20542 = _u20541) )).
% 39.92/40.16 cnf(matrix-8095, plain, ( ( hAPP(hAPP(_u20545, _u20546), hAPP(hAPP(_u20545, _u20547), _u20548)) = hAPP(hAPP(_u20545, _u20547), hAPP(hAPP(_u20545, _u20546), _u20548))) | ~c_Finite__Set_Ofun__left__comm(_u20543, _u20544, _u20545) )).
% 39.92/40.16 cnf(matrix-8096, plain, ( ~c_Finite__Set_Ofun__left__comm(_u20549, _u20550, _u20551) | c_Finite__Set_Ofun__left__comm(_u20552, _u20550, hAPP(hAPP(c_COMBB(_u20549, tc_fun(_u20550, _u20550), _u20552), _u20551), _u20553)) )).
% 39.92/40.16 cnf(matrix-8097, plain, ( ~class_Orderings_Olinorder(_u20554) | c_Finite__Set_Ofun__left__comm(_u20554, tc_List_Olist(_u20554), c_List_Olinorder__class_Oinsort__key(_u20554, _u20554, c_COMBI(_u20554))) )).
% 39.92/40.16 cnf(matrix-8098, plain, ( ~class_Groups_Oab__semigroup__mult(_u20555) | c_Finite__Set_Ofun__left__comm(_u20555, _u20555, c_Groups_Otimes__class_Otimes(_u20555)) )).
% 39.92/40.16 cnf(matrix-8099, plain, ( ~c_Finite__Set_Ofun__left__comm(_u20556, _u20557, _u20558) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u20556, _u20557, _u20558, _u20559, _u20560), _u20561)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u20556, _u20557, _u20558), _u20559), _u20560) = _u20561) )).
% 39.92/40.16 cnf(matrix-8100, plain, ( ~c_Finite__Set_Ofun__left__comm(_u20562, _u20563, _u20564) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20562), _u20565)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u20562, _u20563, _u20564, _u20566, _u20565), hAPP(hAPP(c_Finite__Set_Ofold(_u20562, _u20563, _u20564), _u20566), _u20565))) )).
% 39.92/40.16 cnf(matrix-8101, plain, ( ~c_Finite__Set_Ofun__left__comm(_u20567, _u20568, _u20569) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20567), _u20570)) | hBOOL(hAPP(hAPP(c_member(_u20567), _u20571), _u20570)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u20567, _u20568, _u20569), _u20572), hAPP(hAPP(c_Set_Oinsert(_u20567), _u20571), _u20570)) = hAPP(hAPP(c_Finite__Set_Ofold(_u20567, _u20568, _u20569), hAPP(hAPP(_u20569, _u20571), _u20572)), _u20570)) )).
% 39.92/40.16 cnf(matrix-8102, plain, ( ~c_Finite__Set_Ofun__left__comm(_u20573, _u20574, _u20575) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20573), _u20576)) | hBOOL(hAPP(hAPP(c_member(_u20573), _u20577), _u20576)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u20573, _u20574, _u20575), _u20578), hAPP(hAPP(c_Set_Oinsert(_u20573), _u20577), _u20576)) = hAPP(hAPP(_u20575, _u20577), hAPP(hAPP(c_Finite__Set_Ofold(_u20573, _u20574, _u20575), _u20578), _u20576))) )).
% 39.92/40.16 cnf(matrix-8103, plain, ( ~c_Finite__Set_Ofun__left__comm(_u20579, _u20580, _u20581) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u20579, _u20580, _u20581), _u20582), hAPP(c_List_Oset(_u20579), _u20583)) = hAPP(c_List_Ofoldl(_u20580, _u20579, hAPP(c_COMBC(_u20579, _u20580, _u20580), _u20581), _u20582), c_List_Oremdups(_u20579, _u20583))) )).
% 39.92/40.16 cnf(matrix-8104, plain, ( ~c_Finite__Set_Ofun__left__comm(_u20585, _u20586, _u20587) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u20585, _u20586, _u20587, _u20588, _u20589), _u20590)) | ~hBOOL(hAPP(hAPP(c_member(_u20585), _u20591), _u20589)) | ( _u20590 = hAPP(hAPP(_u20587, _u20591), skolem526(_u20591, _u20590, _u20589, _u20588, _u20587, _u20586, _u20585))) )).
% 39.92/40.16 cnf(matrix-8105, plain, ( ~c_Finite__Set_Ofun__left__comm(_u20585, _u20586, _u20587) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u20585, _u20586, _u20587, _u20588, _u20589), _u20590)) | ~hBOOL(hAPP(hAPP(c_member(_u20585), _u20591), _u20589)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u20585, _u20586, _u20587, _u20588, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u20585, tc_HOL_Obool)), _u20589), hAPP(hAPP(c_Set_Oinsert(_u20585), _u20591), c_Orderings_Obot__class_Obot(tc_fun(_u20585, tc_HOL_Obool))))), skolem526(_u20591, _u20590, _u20589, _u20588, _u20587, _u20586, _u20585))) )).
% 39.92/40.16 cnf(matrix-8106, plain, ( ~c_Finite__Set_Ofun__left__comm(_u20593, _u20594, _u20595) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u20593, _u20594, _u20595, _u20596, hAPP(hAPP(c_Set_Oinsert(_u20593), _u20597), _u20598)), _u20599)) | hBOOL(hAPP(hAPP(c_member(_u20593), _u20597), _u20598)) | ( _u20599 = hAPP(hAPP(_u20595, _u20597), skolem527(_u20599, _u20598, _u20597, _u20596, _u20595, _u20594, _u20593))) )).
% 39.92/40.16 cnf(matrix-8107, plain, ( ~c_Finite__Set_Ofun__left__comm(_u20593, _u20594, _u20595) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u20593, _u20594, _u20595, _u20596, hAPP(hAPP(c_Set_Oinsert(_u20593), _u20597), _u20598)), _u20599)) | hBOOL(hAPP(hAPP(c_member(_u20593), _u20597), _u20598)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u20593, _u20594, _u20595, _u20596, _u20598), skolem527(_u20599, _u20598, _u20597, _u20596, _u20595, _u20594, _u20593))) )).
% 39.92/40.16 cnf(matrix-8108, plain, ( ~class_Orderings_Olinorder(_u20601) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20601), _u20602)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20601), hAPP(hAPP(c_Finite__Set_Ofold(_u20601, _u20601, c_Orderings_Oord__class_Omax(_u20601)), _u20604), _u20602)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u20601), _u20603), _u20604))) | hBOOL(hAPP(hAPP(c_member(_u20601), skolem528(_u20604, _u20603, _u20602, _u20601)), _u20602)) )).
% 39.92/40.16 cnf(matrix-8109, plain, ( ~class_Orderings_Olinorder(_u20601) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20601), _u20602)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20601), hAPP(hAPP(c_Finite__Set_Ofold(_u20601, _u20601, c_Orderings_Oord__class_Omax(_u20601)), _u20604), _u20602)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u20601), _u20603), _u20604))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20601), skolem528(_u20604, _u20603, _u20602, _u20601)), _u20603)) )).
% 39.92/40.16 cnf(matrix-8110, plain, ( ~class_Orderings_Olinorder(_u20606) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20606), _u20607)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20606), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u20606), _u20608), _u20609)), hAPP(hAPP(c_Finite__Set_Ofold(_u20606, _u20606, c_Orderings_Oord__class_Omin(_u20606)), _u20609), _u20607))) | hBOOL(hAPP(hAPP(c_member(_u20606), skolem529(_u20609, _u20608, _u20607, _u20606)), _u20607)) )).
% 39.92/40.16 cnf(matrix-8111, plain, ( ~class_Orderings_Olinorder(_u20606) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20606), _u20607)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20606), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u20606), _u20608), _u20609)), hAPP(hAPP(c_Finite__Set_Ofold(_u20606, _u20606, c_Orderings_Oord__class_Omin(_u20606)), _u20609), _u20607))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20606), _u20608), skolem529(_u20609, _u20608, _u20607, _u20606))) )).
% 39.92/40.16 cnf(matrix-8112, plain, ( ~class_Lattices_Osemilattice__inf(_u20611) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20611), _u20612)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20611), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u20611), _u20613), _u20614)), hAPP(hAPP(c_Finite__Set_Ofold(_u20611, _u20611, c_Lattices_Osemilattice__inf__class_Oinf(_u20611)), _u20614), _u20612))) | hBOOL(hAPP(hAPP(c_member(_u20611), skolem530(_u20614, _u20613, _u20612, _u20611)), _u20612)) )).
% 39.92/40.16 cnf(matrix-8113, plain, ( ~class_Lattices_Osemilattice__inf(_u20611) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20611), _u20612)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20611), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u20611), _u20613), _u20614)), hAPP(hAPP(c_Finite__Set_Ofold(_u20611, _u20611, c_Lattices_Osemilattice__inf__class_Oinf(_u20611)), _u20614), _u20612))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20611), _u20613), skolem530(_u20614, _u20613, _u20612, _u20611))) )).
% 39.92/40.16 cnf(matrix-8114, plain, ( ~class_Lattices_Osemilattice__sup(_u20616) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20616), _u20617)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20616), hAPP(hAPP(c_Finite__Set_Ofold(_u20616, _u20616, c_Lattices_Osemilattice__sup__class_Osup(_u20616)), _u20619), _u20617)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u20616), _u20618), _u20619))) | hBOOL(hAPP(hAPP(c_member(_u20616), skolem531(_u20619, _u20618, _u20617, _u20616)), _u20617)) )).
% 39.92/40.16 cnf(matrix-8115, plain, ( ~class_Lattices_Osemilattice__sup(_u20616) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20616), _u20617)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20616), hAPP(hAPP(c_Finite__Set_Ofold(_u20616, _u20616, c_Lattices_Osemilattice__sup__class_Osup(_u20616)), _u20619), _u20617)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u20616), _u20618), _u20619))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20616), skolem531(_u20619, _u20618, _u20617, _u20616)), _u20618)) )).
% 39.92/40.16 cnf(matrix-8116, plain, ( ~class_Divides_Osemiring__div(_u20620) | ( _u20621 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20620), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20620), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20620), _u20621), _u20622)), _u20622)), c_Divides_Odiv__class_Omod(_u20620, _u20621, _u20622))) )).
% 39.92/40.16 cnf(matrix-8117, plain, ( ~c_Wellfounded_Owf(_u20633, _u20635) | ~hBOOL(hAPP(hAPP(c_member(_u20633), _u20623), _u20626)) | hBOOL(hAPP(hAPP(c_member(_u20633), skolem532(_u20635, _u20633, _u20626)), _u20626)) )).
% 39.92/40.16 cnf(matrix-8118, plain, ( ~c_Wellfounded_Owf(_u20633, _u20635) | ~hBOOL(hAPP(hAPP(c_member(_u20633), _u20623), _u20626)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20633, _u20633)), hAPP(hAPP(c_Product__Type_OPair(_u20633, _u20633), _u20624), skolem532(_u20635, _u20633, _u20626))), _u20635)) | ~hBOOL(hAPP(hAPP(c_member(_u20633), _u20624), _u20626)) )).
% 39.92/40.16 cnf(matrix-8119, plain, ( c_Wellfounded_Owf(_u20634, _u20636) | hBOOL(hAPP(hAPP(c_member(_u20634), skolem534(_u20636, _u20634)), skolem533(_u20636, _u20634))) )).
% 39.92/40.16 cnf(matrix-8120, plain, ( c_Wellfounded_Owf(_u20634, _u20636) | ~hBOOL(hAPP(hAPP(c_member(_u20634), _u20629), skolem533(_u20636, _u20634))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20634, _u20634)), hAPP(hAPP(c_Product__Type_OPair(_u20634, _u20634), skolem535(_u20636, _u20634, _u20629)), _u20629)), _u20636)) )).
% 39.92/40.16 cnf(matrix-8121, plain, ( c_Wellfounded_Owf(_u20634, _u20636) | ~hBOOL(hAPP(hAPP(c_member(_u20634), _u20629), skolem533(_u20636, _u20634))) | hBOOL(hAPP(hAPP(c_member(_u20634), skolem535(_u20636, _u20634, _u20629)), skolem533(_u20636, _u20634))) )).
% 39.92/40.16 cnf(matrix-8122, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20638), _u20643)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20638), _u20644)) | ( hAPP(_u20642, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u20638, tc_HOL_Obool)), _u20643), _u20644)) = hAPP(hAPP(_u20639, hAPP(_u20642, _u20643)), hAPP(_u20642, _u20644))) | ~c_Finite__Set_Ofolding__image__simple__idem(_u20637, _u20638, _u20639, _u20640, _u20641, _u20642) )).
% 39.92/40.16 cnf(matrix-8123, 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)))), _u20646)) = 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)))), _u20647))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem536(_u20647, _u20646))) )).
% 39.92/40.16 cnf(matrix-8124, 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)))), _u20646)) = 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)))), _u20647))) | hBOOL(hAPP(_u20646, skolem536(_u20647, _u20646))) | hBOOL(hAPP(_u20647, skolem536(_u20647, _u20646))) )).
% 39.92/40.16 cnf(matrix-8125, 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)))), _u20646)) = 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)))), _u20647))) | ~hBOOL(hAPP(_u20647, skolem536(_u20647, _u20646))) | ~hBOOL(hAPP(_u20646, skolem536(_u20647, _u20646))) )).
% 39.92/40.16 cnf(matrix-8126, plain, ( ( hAPP(hAPP(_u20650, _u20654), _u20654) = _u20654) | ~c_Finite__Set_Ofolding__image__simple__idem(_u20648, _u20649, _u20650, _u20651, _u20652, _u20653) )).
% 39.92/40.16 cnf(matrix-8127, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20656), _u20661)) | ~hBOOL(hAPP(hAPP(c_member(_u20656), _u20662), _u20661)) | ( hAPP(hAPP(_u20657, hAPP(_u20659, _u20662)), hAPP(_u20660, _u20661)) = hAPP(_u20660, _u20661)) | ~c_Finite__Set_Ofolding__image__simple__idem(_u20655, _u20656, _u20657, _u20658, _u20659, _u20660) )).
% 39.92/40.16 cnf(matrix-8128, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20664), _u20669)) | ( hAPP(_u20668, hAPP(hAPP(c_Set_Oinsert(_u20664), _u20670), _u20669)) = hAPP(hAPP(_u20665, hAPP(_u20667, _u20670)), hAPP(_u20668, _u20669))) | ~c_Finite__Set_Ofolding__image__simple__idem(_u20663, _u20664, _u20665, _u20666, _u20667, _u20668) )).
% 39.92/40.16 cnf(matrix-8129, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20672), _u20677)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20672, tc_HOL_Obool)), _u20678), _u20677)) | ( hAPP(hAPP(_u20673, hAPP(_u20676, _u20678)), hAPP(_u20676, _u20677)) = hAPP(_u20676, _u20677)) | ~c_Finite__Set_Ofolding__image__simple__idem(_u20671, _u20672, _u20673, _u20674, _u20675, _u20676) )).
% 39.92/40.16 cnf(matrix-8130, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u20680), _u20681), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20680, tc_HOL_Obool), _u20682))) | hBOOL(hAPP(hAPP(c_member(_u20680), _u20681), skolem537(_u20682, _u20681, _u20680))) )).
% 39.92/40.16 cnf(matrix-8131, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u20680), _u20681), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20680, tc_HOL_Obool), _u20682))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20680, tc_HOL_Obool)), skolem537(_u20682, _u20681, _u20680)), _u20682)) )).
% 39.92/40.16 cnf(matrix-8132, plain, ( ( c_Option_Ooption_Ooption__rec(_u20683, _u20684, _u20685, _u20686, hAPP(c_Option_Ooption_OSome(_u20684), _u20687)) = hAPP(_u20686, _u20687)) )).
% 39.92/40.16 cnf(matrix-8133, plain, ( ( c_Option_Ooption_Ooption__rec(_u20688, _u20689, _u20690, _u20691, c_Option_Ooption_ONone(_u20689)) = _u20690) )).
% 39.92/40.16 cnf(matrix-8134, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20694, _u20695)), _u20696), hAPP(c_Relation_Oconverse(_u20695, _u20694), _u20697))) | ( _u20696 = hAPP(hAPP(c_Product__Type_OPair(_u20694, _u20695), skolem539(_u20697, _u20696, _u20695, _u20694)), skolem538(_u20697, _u20696, _u20695, _u20694))) )).
% 39.92/40.16 cnf(matrix-8135, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20694, _u20695)), _u20696), hAPP(c_Relation_Oconverse(_u20695, _u20694), _u20697))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20695, _u20694)), hAPP(hAPP(c_Product__Type_OPair(_u20695, _u20694), skolem538(_u20697, _u20696, _u20695, _u20694)), skolem539(_u20697, _u20696, _u20695, _u20694))), _u20697)) )).
% 39.92/40.16 cnf(matrix-8136, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20701, _u20702)), _u20703), hAPP(hAPP(c_Relation_Orel__comp(_u20701, _u20704, _u20702), _u20705), _u20706))) | ( _u20703 = hAPP(hAPP(c_Product__Type_OPair(_u20701, _u20702), skolem540(_u20706, _u20705, _u20704, _u20703, _u20702, _u20701)), skolem542(_u20706, _u20705, _u20704, _u20703, _u20702, _u20701))) )).
% 39.92/40.16 cnf(matrix-8137, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20701, _u20702)), _u20703), hAPP(hAPP(c_Relation_Orel__comp(_u20701, _u20704, _u20702), _u20705), _u20706))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20701, _u20704)), hAPP(hAPP(c_Product__Type_OPair(_u20701, _u20704), skolem540(_u20706, _u20705, _u20704, _u20703, _u20702, _u20701)), skolem541(_u20706, _u20705, _u20704, _u20703, _u20702, _u20701))), _u20705)) )).
% 39.92/40.16 cnf(matrix-8138, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20701, _u20702)), _u20703), hAPP(hAPP(c_Relation_Orel__comp(_u20701, _u20704, _u20702), _u20705), _u20706))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20704, _u20702)), hAPP(hAPP(c_Product__Type_OPair(_u20704, _u20702), skolem541(_u20706, _u20705, _u20704, _u20703, _u20702, _u20701)), skolem542(_u20706, _u20705, _u20704, _u20703, _u20702, _u20701))), _u20706)) )).
% 39.92/40.16 cnf(matrix-8139, plain, ( ( c_Nitpick_Oplus__frac(_u20707, _u20708, _u20709) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u20707), c_Nitpick_Oint__lcm(hAPP(c_Nitpick_Odenom(_u20707), _u20708), hAPP(c_Nitpick_Odenom(_u20707), _u20709))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_Int_Oint, _u20707), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_fun(tc_Int_Oint, _u20707), tc_Int_Oint), c_Nitpick_Ofrac(_u20707)), 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(_u20707), _u20708))), 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(_u20707), _u20708))))), 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(_u20707), _u20709))), 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(_u20707), _u20709)))))), c_COMBI(tc_Int_Oint)))) )).
% 39.92/40.16 cnf(matrix-8140, plain, ( ~class_Rings_Olinordered__semidom(_u20711) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u20711), c_Groups_Ozero__class_Ozero(_u20711)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u20712, _u20711), _u20714), _u20713))) | hBOOL(hAPP(hAPP(c_member(_u20712), skolem543(_u20714, _u20713, _u20712, _u20711)), _u20713)) )).
% 39.92/40.16 cnf(matrix-8141, plain, ( ~class_Rings_Olinordered__semidom(_u20711) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u20711), c_Groups_Ozero__class_Ozero(_u20711)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u20712, _u20711), _u20714), _u20713))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u20711), c_Groups_Ozero__class_Ozero(_u20711)), hAPP(_u20714, skolem543(_u20714, _u20713, _u20712, _u20711)))) )).
% 39.92/40.16 cnf(matrix-8142, plain, ( ( c_Nitpick_Otimes__frac(_u20715, _u20716, _u20717) = hAPP(hAPP(c_Nitpick_Ofrac(_u20715), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u20715), _u20716)), hAPP(c_Nitpick_Onum(_u20715), _u20717))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nitpick_Odenom(_u20715), _u20716)), hAPP(c_Nitpick_Odenom(_u20715), _u20717)))) )).
% 39.92/40.16 cnf(matrix-8143, plain, ( ~class_Rings_Oinverse(_u20718) | ~class_Rings_Oring__1(_u20718) | ( c_Nitpick_Oof__frac(_u20719, _u20718, _u20720) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u20718), hAPP(c_Int_Oring__1__class_Oof__int(_u20718), hAPP(c_Nitpick_Onum(_u20719), _u20720))), hAPP(c_Int_Oring__1__class_Oof__int(_u20718), hAPP(c_Nitpick_Odenom(_u20719), _u20720)))) )).
% 39.92/40.16 cnf(matrix-8144, plain, ( ( c_Nitpick_Oinverse__frac(_u20721, _u20722) = hAPP(hAPP(c_Nitpick_Ofrac(_u20721), hAPP(c_Nitpick_Odenom(_u20721), _u20722)), hAPP(c_Nitpick_Onum(_u20721), _u20722))) )).
% 39.92/40.16 cnf(matrix-8145, plain, ( ( c_Nitpick_Ouminus__frac(_u20723, _u20724) = c_Nitpick_OAbs__Frac(_u20723, 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(_u20723), _u20724))), hAPP(c_Nitpick_Odenom(_u20723), _u20724)))) )).
% 39.92/40.16 cnf(matrix-8146, plain, ( ~c_Nitpick_Oless__frac(_u20728, _u20730, _u20732) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u20728), c_Nitpick_Oplus__frac(_u20728, _u20730, c_Nitpick_Ouminus__frac(_u20728, _u20732)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.92/40.16 cnf(matrix-8147, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u20729), c_Nitpick_Oplus__frac(_u20729, _u20731, c_Nitpick_Ouminus__frac(_u20729, _u20733)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | c_Nitpick_Oless__frac(_u20729, _u20731, _u20733) )).
% 39.92/40.16 cnf(matrix-8148, plain, ( ~c_Nitpick_Oless__eq__frac(_u20737, _u20739, _u20741) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u20737), c_Nitpick_Oplus__frac(_u20737, _u20739, c_Nitpick_Ouminus__frac(_u20737, _u20741)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 39.92/40.16 cnf(matrix-8149, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u20738), c_Nitpick_Oplus__frac(_u20738, _u20740, c_Nitpick_Ouminus__frac(_u20738, _u20742)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | c_Nitpick_Oless__eq__frac(_u20738, _u20740, _u20742) )).
% 39.92/40.16 cnf(matrix-8150, plain, ( ( c_Nitpick_Odenom(_u20743) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint, tc_Int_Oint), tc_Int_Oint, _u20743, c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint)), c_Nitpick_ORep__Frac(_u20743))) )).
% 39.92/40.16 cnf(matrix-8151, plain, ( ( c_Nitpick_Onum(_u20744) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint, tc_Int_Oint), tc_Int_Oint, _u20744, c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint)), c_Nitpick_ORep__Frac(_u20744))) )).
% 39.92/40.16 cnf(matrix-8152, plain, ( ~c_List_Olist__all(_u20750, _u20752, _u20754) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20745), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20750)), _u20754))) | hBOOL(hAPP(_u20752, hAPP(hAPP(c_List_Onth(_u20750), _u20754), _u20745))) )).
% 39.92/40.16 cnf(matrix-8153, plain, ( c_List_Olist__all(_u20751, _u20753, _u20755) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem544(_u20755, _u20753, _u20751)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20751)), _u20755))) )).
% 39.92/40.16 cnf(matrix-8154, plain, ( c_List_Olist__all(_u20751, _u20753, _u20755) | ~hBOOL(hAPP(_u20753, hAPP(hAPP(c_List_Onth(_u20751), _u20755), skolem544(_u20755, _u20753, _u20751)))) )).
% 39.92/40.16 cnf(matrix-8155, plain, ( ( c_Product__Type_Ointernal__split(_u20756, _u20757, _u20758) = c_Product__Type_Oprod_Oprod__case(_u20756, _u20757, _u20758)) )).
% 39.92/40.16 cnf(matrix-8156, plain, ( ~c_List_Olist__all(_u20763, _u20765, hAPP(hAPP(c_List_Olist_OCons(_u20763), _u20767), _u20769)) | hBOOL(hAPP(_u20765, _u20767)) )).
% 39.92/40.16 cnf(matrix-8157, plain, ( ~c_List_Olist__all(_u20763, _u20765, hAPP(hAPP(c_List_Olist_OCons(_u20763), _u20767), _u20769)) | c_List_Olist__all(_u20763, _u20765, _u20769) )).
% 39.92/40.16 cnf(matrix-8158, plain, ( ~hBOOL(hAPP(_u20766, _u20768)) | ~c_List_Olist__all(_u20764, _u20766, _u20770) | c_List_Olist__all(_u20764, _u20766, hAPP(hAPP(c_List_Olist_OCons(_u20764), _u20768), _u20770)) )).
% 39.92/40.16 cnf(matrix-8159, plain, ( ~c_List_Olist__all(_u20775, _u20777, hAPP(hAPP(c_List_Oappend(_u20775), _u20779), _u20781)) | c_List_Olist__all(_u20775, _u20777, _u20779) )).
% 39.92/40.16 cnf(matrix-8160, plain, ( ~c_List_Olist__all(_u20775, _u20777, hAPP(hAPP(c_List_Oappend(_u20775), _u20779), _u20781)) | c_List_Olist__all(_u20775, _u20777, _u20781) )).
% 39.92/40.16 cnf(matrix-8161, plain, ( ~c_List_Olist__all(_u20776, _u20778, _u20780) | ~c_List_Olist__all(_u20776, _u20778, _u20782) | c_List_Olist__all(_u20776, _u20778, hAPP(hAPP(c_List_Oappend(_u20776), _u20780), _u20782)) )).
% 39.92/40.16 cnf(matrix-8162, plain, ( ~c_List_Olist__all(_u20788, _u20790, _u20792) | ~hBOOL(hAPP(hAPP(c_member(_u20788), _u20783), hAPP(c_List_Oset(_u20788), _u20792))) | hBOOL(hAPP(_u20790, _u20783)) )).
% 39.92/40.16 cnf(matrix-8163, plain, ( c_List_Olist__all(_u20789, _u20791, _u20793) | hBOOL(hAPP(hAPP(c_member(_u20789), skolem545(_u20793, _u20791, _u20789)), hAPP(c_List_Oset(_u20789), _u20793))) )).
% 39.92/40.16 cnf(matrix-8164, plain, ( c_List_Olist__all(_u20789, _u20791, _u20793) | ~hBOOL(hAPP(_u20791, skolem545(_u20793, _u20791, _u20789))) )).
% 39.92/40.16 cnf(matrix-8165, plain, ( ~c_List_Olist__all(_u20797, _u20799, hAPP(c_List_Orev(_u20797), _u20801)) | c_List_Olist__all(_u20797, _u20799, _u20801) )).
% 39.92/40.16 cnf(matrix-8166, plain, ( ~c_List_Olist__all(_u20798, _u20800, _u20802) | c_List_Olist__all(_u20798, _u20800, hAPP(c_List_Orev(_u20798), _u20802)) )).
% 39.92/40.16 cnf(matrix-8167, plain, ( c_List_Olist__all(_u20803, _u20804, c_List_Olist_ONil(_u20803)) )).
% 39.92/40.16 cnf(matrix-8168, plain, ( c_List_Olist__all(_u20810, _u20814, _u20812) | hBOOL(hAPP(hAPP(c_member(_u20810), skolem546(_u20814, _u20812, _u20810)), hAPP(c_List_Oset(_u20810), _u20812))) )).
% 39.92/40.16 cnf(matrix-8169, plain, ( c_List_Olist__all(_u20810, _u20814, _u20812) | ~hBOOL(hAPP(_u20814, skolem546(_u20814, _u20812, _u20810))) )).
% 39.92/40.16 cnf(matrix-8170, plain, ( ~c_List_Olist__all(_u20811, _u20815, _u20813) | ~hBOOL(hAPP(hAPP(c_member(_u20811), _u20806), hAPP(c_List_Oset(_u20811), _u20813))) | hBOOL(hAPP(_u20815, _u20806)) )).
% 39.92/40.16 cnf(matrix-8171, plain, ( ~c_List_Olist__all(_u20821, _u20823, _u20825) | ~hBOOL(hAPP(hAPP(c_member(_u20821), _u20816), hAPP(c_List_Oset(_u20821), _u20825))) | hBOOL(hAPP(_u20823, _u20816)) )).
% 39.92/40.16 cnf(matrix-8172, plain, ( c_List_Olist__all(_u20822, _u20824, _u20826) | hBOOL(hAPP(hAPP(c_member(_u20822), skolem547(_u20826, _u20824, _u20822)), hAPP(c_List_Oset(_u20822), _u20826))) )).
% 39.92/40.16 cnf(matrix-8173, plain, ( c_List_Olist__all(_u20822, _u20824, _u20826) | ~hBOOL(hAPP(_u20824, skolem547(_u20826, _u20824, _u20822))) )).
% 39.92/40.16 cnf(matrix-8174, plain, ( ( hAPP(hAPP(c_Product__Type_Ointernal__split(_u20827, _u20828, _u20829), _u20830), hAPP(hAPP(c_Product__Type_OPair(_u20827, _u20828), _u20831), _u20832)) = hAPP(hAPP(_u20830, _u20831), _u20832)) )).
% 39.92/40.16 cnf(matrix-8175, plain, ( ~c_List_Olist__ex1(_u20837, _u20839, hAPP(hAPP(c_List_Olist_OCons(_u20837), _u20841), _u20843)) | ~hBOOL(hAPP(_u20839, _u20841)) | c_List_Olist__all(_u20837, hAPP(hAPP(c_COMBS(_u20837, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u20837), c_fdisj), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u20837), c_fNot), _u20839))), hAPP(c_fequal, _u20841)), _u20843) )).
% 39.92/40.16 cnf(matrix-8176, plain, ( ~c_List_Olist__ex1(_u20837, _u20839, hAPP(hAPP(c_List_Olist_OCons(_u20837), _u20841), _u20843)) | hBOOL(hAPP(_u20839, _u20841)) | c_List_Olist__ex1(_u20837, _u20839, _u20843) )).
% 39.92/40.16 cnf(matrix-8177, plain, ( c_List_Olist__ex1(_u20838, _u20840, hAPP(hAPP(c_List_Olist_OCons(_u20838), _u20842), _u20844)) | hBOOL(hAPP(_u20840, _u20842)) | ~c_List_Olist__ex1(_u20838, _u20840, _u20844) )).
% 39.92/40.16 cnf(matrix-8178, plain, ( c_List_Olist__ex1(_u20838, _u20840, hAPP(hAPP(c_List_Olist_OCons(_u20838), _u20842), _u20844)) | ~c_List_Olist__all(_u20838, hAPP(hAPP(c_COMBS(_u20838, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u20838), c_fdisj), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u20838), c_fNot), _u20840))), hAPP(c_fequal, _u20842)), _u20844) | ~hBOOL(hAPP(_u20840, _u20842)) )).
% 39.92/40.16 cnf(matrix-8179, plain, ( c_List_Olist__ex1(_u20838, _u20840, hAPP(hAPP(c_List_Olist_OCons(_u20838), _u20842), _u20844)) | ~c_List_Olist__all(_u20838, hAPP(hAPP(c_COMBS(_u20838, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u20838), c_fdisj), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u20838), c_fNot), _u20840))), hAPP(c_fequal, _u20842)), _u20844) | ~c_List_Olist__ex1(_u20838, _u20840, _u20844) )).
% 39.92/40.16 cnf(matrix-8180, plain, ( ~class_Rings_Olinordered__semidom(_u20846) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20846), c_Groups_Ozero__class_Ozero(_u20846)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u20847, _u20846), _u20849), _u20848))) | hBOOL(hAPP(hAPP(c_member(_u20847), skolem548(_u20849, _u20848, _u20847, _u20846)), _u20848)) )).
% 39.92/40.16 cnf(matrix-8181, plain, ( ~class_Rings_Olinordered__semidom(_u20846) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20846), c_Groups_Ozero__class_Ozero(_u20846)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u20847, _u20846), _u20849), _u20848))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20846), c_Groups_Ozero__class_Ozero(_u20846)), hAPP(_u20849, skolem548(_u20849, _u20848, _u20847, _u20846)))) )).
% 39.92/40.16 cnf(matrix-8182, plain, ( ~c_List_Olist__ex1(_u20850, _u20851, c_List_Olist_ONil(_u20850)) )).
% 39.92/40.16 cnf(matrix-8183, plain, ( ~class_Enum_Oenum(_u20856) | c_List_Olist__ex1(_u20856, _u20857, c_Enum_Oenum__class_Oenum(_u20856)) | ~hBOOL(hAPP(_u20857, _u20853)) | hBOOL(hAPP(_u20857, skolem549(_u20857, _u20856, _u20853))) )).
% 39.92/40.16 cnf(matrix-8184, plain, ( ~class_Enum_Oenum(_u20856) | c_List_Olist__ex1(_u20856, _u20857, c_Enum_Oenum__class_Oenum(_u20856)) | ~hBOOL(hAPP(_u20857, _u20853)) | ( skolem549(_u20857, _u20856, _u20853) != _u20853) )).
% 39.92/40.16 cnf(matrix-8185, plain, ( ~class_Enum_Oenum(_u20856) | ~c_List_Olist__ex1(_u20856, _u20857, c_Enum_Oenum__class_Oenum(_u20856)) | hBOOL(hAPP(_u20857, skolem550(_u20857, _u20856))) )).
% 39.92/40.16 cnf(matrix-8186, plain, ( ~class_Enum_Oenum(_u20856) | ~c_List_Olist__ex1(_u20856, _u20857, c_Enum_Oenum__class_Oenum(_u20856)) | ~hBOOL(hAPP(_u20857, _u20854)) | ( _u20854 = skolem550(_u20857, _u20856)) )).
% 39.92/40.16 cnf(matrix-8187, plain, ( ~c_List_Olist__ex1(_u20865, _u20867, _u20869) | hBOOL(hAPP(hAPP(c_member(_u20865), skolem551(_u20869, _u20867, _u20865)), hAPP(c_List_Oset(_u20865), _u20869))) )).
% 39.92/40.16 cnf(matrix-8188, plain, ( ~c_List_Olist__ex1(_u20865, _u20867, _u20869) | hBOOL(hAPP(_u20867, skolem551(_u20869, _u20867, _u20865))) )).
% 39.92/40.16 cnf(matrix-8189, plain, ( ~c_List_Olist__ex1(_u20865, _u20867, _u20869) | ~hBOOL(hAPP(hAPP(c_member(_u20865), _u20858), hAPP(c_List_Oset(_u20865), _u20869))) | ~hBOOL(hAPP(_u20867, _u20858)) | ( _u20858 = skolem551(_u20869, _u20867, _u20865)) )).
% 39.92/40.16 cnf(matrix-8190, plain, ( c_List_Olist__ex1(_u20866, _u20868, _u20870) | ~hBOOL(hAPP(hAPP(c_member(_u20866), _u20861), hAPP(c_List_Oset(_u20866), _u20870))) | ~hBOOL(hAPP(_u20868, _u20861)) | hBOOL(hAPP(hAPP(c_member(_u20866), skolem552(_u20870, _u20868, _u20866, _u20861)), hAPP(c_List_Oset(_u20866), _u20870))) )).
% 39.92/40.16 cnf(matrix-8191, plain, ( c_List_Olist__ex1(_u20866, _u20868, _u20870) | ~hBOOL(hAPP(hAPP(c_member(_u20866), _u20861), hAPP(c_List_Oset(_u20866), _u20870))) | ~hBOOL(hAPP(_u20868, _u20861)) | hBOOL(hAPP(_u20868, skolem552(_u20870, _u20868, _u20866, _u20861))) )).
% 39.92/40.16 cnf(matrix-8192, plain, ( c_List_Olist__ex1(_u20866, _u20868, _u20870) | ~hBOOL(hAPP(hAPP(c_member(_u20866), _u20861), hAPP(c_List_Oset(_u20866), _u20870))) | ~hBOOL(hAPP(_u20868, _u20861)) | ( skolem552(_u20870, _u20868, _u20866, _u20861) != _u20861) )).
% 39.92/40.16 cnf(matrix-8193, plain, ( ( c_HOL_Obool_Obool__size(c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.92/40.16 cnf(matrix-8194, plain, ( ( c_HOL_Obool_Obool__size(c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.92/40.16 cnf(matrix-8195, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem553(_u20873, _u20872)), hAPP(_u20872, skolem553(_u20873, _u20872)))) | 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)), _u20872)), _u20873)))) )).
% 39.92/40.16 cnf(matrix-8196, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20876), _u20877)) | ~hBOOL(hAPP(_u20878, c_Orderings_Obot__class_Obot(tc_fun(_u20876, tc_HOL_Obool)))) | hBOOL(hAPP(_u20878, _u20877)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u20876), skolem555(_u20878, _u20877, _u20876))) )).
% 39.92/40.16 cnf(matrix-8197, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20876), _u20877)) | ~hBOOL(hAPP(_u20878, c_Orderings_Obot__class_Obot(tc_fun(_u20876, tc_HOL_Obool)))) | hBOOL(hAPP(_u20878, _u20877)) | ~hBOOL(hAPP(hAPP(c_member(_u20876), skolem554(_u20878, _u20877, _u20876)), skolem555(_u20878, _u20877, _u20876))) )).
% 39.92/40.16 cnf(matrix-8198, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20876), _u20877)) | ~hBOOL(hAPP(_u20878, c_Orderings_Obot__class_Obot(tc_fun(_u20876, tc_HOL_Obool)))) | hBOOL(hAPP(_u20878, _u20877)) | hBOOL(hAPP(_u20878, skolem555(_u20878, _u20877, _u20876))) )).
% 39.92/40.16 cnf(matrix-8199, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20876), _u20877)) | ~hBOOL(hAPP(_u20878, c_Orderings_Obot__class_Obot(tc_fun(_u20876, tc_HOL_Obool)))) | hBOOL(hAPP(_u20878, _u20877)) | ~hBOOL(hAPP(_u20878, hAPP(hAPP(c_Set_Oinsert(_u20876), skolem554(_u20878, _u20877, _u20876)), skolem555(_u20878, _u20877, _u20876)))) )).
% 39.92/40.16 cnf(matrix-8200, 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))) )).
% 39.92/40.16 cnf(matrix-8201, plain, ( ~class_HOL_Oequal(_u20881) | ~class_Enum_Oenum(_u20882) | ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_fun(_u20882, _u20881)), _u20883), _u20884)) | ~hBOOL(hAPP(hAPP(c_member(_u20882), _u20879), hAPP(c_List_Oset(_u20882), c_Enum_Oenum__class_Oenum(_u20882)))) | ( hAPP(_u20883, _u20879) = hAPP(_u20884, _u20879)) )).
% 39.92/40.16 cnf(matrix-8202, plain, ( ~class_HOL_Oequal(_u20881) | ~class_Enum_Oenum(_u20882) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_fun(_u20882, _u20881)), _u20883), _u20884)) | hBOOL(hAPP(hAPP(c_member(_u20882), skolem556(_u20884, _u20883, _u20882, _u20881)), hAPP(c_List_Oset(_u20882), c_Enum_Oenum__class_Oenum(_u20882)))) )).
% 39.92/40.16 cnf(matrix-8203, plain, ( ~class_HOL_Oequal(_u20881) | ~class_Enum_Oenum(_u20882) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_fun(_u20882, _u20881)), _u20883), _u20884)) | ( hAPP(_u20883, skolem556(_u20884, _u20883, _u20882, _u20881)) != hAPP(_u20884, skolem556(_u20884, _u20883, _u20882, _u20881))) )).
% 39.92/40.16 cnf(matrix-8204, plain, ( ~c_FunDef_Ois__measure(_u20885, _u20886) | c_FunDef_Ois__measure(tc_prod(_u20885, _u20887), hAPP(hAPP(c_COMBB(_u20885, tc_Nat_Onat, tc_prod(_u20885, _u20887)), _u20886), c_Product__Type_Ofst(_u20885, _u20887))) )).
% 39.92/40.16 cnf(matrix-8205, plain, ( c_FunDef_Ois__measure(_u20888, _u20889) )).
% 39.92/40.16 cnf(matrix-8206, plain, ( c_FunDef_Ois__measure(_u20890, _u20891) )).
% 39.92/40.16 cnf(matrix-8207, plain, ( c_FunDef_Ois__measure(_u20892, _u20893) )).
% 39.92/40.16 cnf(matrix-8208, plain, ( ~class_HOL_Oequal(_u20894) | ( c_HOL_Oequal__class_Oequal(_u20894) = c_fequal) )).
% 39.92/40.16 cnf(matrix-8209, plain, ( ~class_HOL_Oequal(_u20895) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(_u20895), _u20896), _u20896)) )).
% 39.92/40.16 cnf(matrix-8210, plain, ( ~class_HOL_Oequal(_u20897) | ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(_u20897), _u20898), _u20899)) | ( _u20898 = _u20899) )).
% 39.92/40.16 cnf(matrix-8211, plain, ( ~class_HOL_Oequal(_u20897) | ( _u20898 != _u20899) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(_u20897), _u20898), _u20899)) )).
% 39.92/40.16 cnf(matrix-8212, plain, ( ~class_HOL_Oequal(_u20900) | ( c_fequal = c_HOL_Oequal__class_Oequal(_u20900)) )).
% 39.92/40.16 cnf(matrix-8213, plain, ( ~class_Nat_Osize(_u20901) | c_FunDef_Ois__measure(_u20901, c_Nat_Osize__class_Osize(_u20901)) )).
% 39.92/40.16 cnf(matrix-8214, plain, ( ~c_FunDef_Ois__measure(_u20902, _u20903) | c_FunDef_Ois__measure(tc_prod(_u20904, _u20902), hAPP(hAPP(c_COMBB(_u20902, tc_Nat_Onat, tc_prod(_u20904, _u20902)), _u20903), c_Product__Type_Osnd(_u20904, _u20902))) )).
% 39.92/40.16 cnf(matrix-8215, 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)) )).
% 39.92/40.16 cnf(matrix-8216, plain, ( ( _u20910 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Oneg__decr__bind(_u20912, _u20914, _u20916, _u20918), _u20910) = c_Lazy__Sequence_Ohit__bound(_u20914)) )).
% 39.92/40.16 cnf(matrix-8217, plain, ( ( _u20911 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Oneg__decr__bind(_u20913, _u20915, _u20917, _u20919), _u20911) = c_Lazy__Sequence_Ohb__bind(_u20913, _u20915, hAPP(_u20917, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u20911), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))), hAPP(hAPP(c_COMBC(_u20913, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(_u20915))), _u20919), _u20911))) )).
% 39.92/40.16 cnf(matrix-8218, plain, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u20920))) )).
% 39.92/40.16 cnf(matrix-8219, plain, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OBit0(_u20921)), c_Int_OMin)) )).
% 39.92/40.16 cnf(matrix-8220, plain, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u20924)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u20926))) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), _u20924), _u20926)) )).
% 39.92/40.16 cnf(matrix-8221, plain, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), _u20925), _u20927)) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u20925)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u20927))) )).
% 39.92/40.16 cnf(matrix-8222, plain, ( hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OPls), c_Int_OPls)) )).
% 39.92/40.16 cnf(matrix-8223, plain, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OBit1(_u20930)), c_Int_OBit1(_u20932))) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), _u20930), _u20932)) )).
% 39.92/40.16 cnf(matrix-8224, plain, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), _u20931), _u20933)) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OBit1(_u20931)), c_Int_OBit1(_u20933))) )).
% 39.92/40.16 cnf(matrix-8225, plain, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OBit0(_u20936)), c_Int_OBit0(_u20938))) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), _u20936), _u20938)) )).
% 39.92/40.16 cnf(matrix-8226, plain, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), _u20937), _u20939)) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OBit0(_u20937)), c_Int_OBit0(_u20939))) )).
% 39.92/40.16 cnf(matrix-8227, plain, ( hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OMin), c_Int_OMin)) )).
% 39.92/40.16 cnf(matrix-8228, plain, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u20940))) )).
% 39.92/40.16 cnf(matrix-8229, plain, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OBit1(_u20941)), c_Int_OPls)) )).
% 39.92/40.16 cnf(matrix-8230, plain, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), _u20944), _u20946)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u20944), _u20946) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 39.92/40.16 cnf(matrix-8231, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u20945), _u20947) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), _u20945), _u20947)) )).
% 39.92/40.16 cnf(matrix-8232, plain, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OBit0(_u20948)), c_Int_OBit1(_u20949))) )).
% 39.92/40.16 cnf(matrix-8233, plain, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OBit1(_u20950)), c_Int_OBit0(_u20951))) )).
% 39.92/40.16 cnf(matrix-8234, plain, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u20953))) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OPls), _u20953)) )).
% 39.92/40.16 cnf(matrix-8235, plain, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OPls), _u20954)) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u20954))) )).
% 39.92/40.16 cnf(matrix-8236, plain, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OBit0(_u20956)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), _u20956), c_Int_OPls)) )).
% 39.92/40.16 cnf(matrix-8237, plain, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), _u20957), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OBit0(_u20957)), c_Int_OPls)) )).
% 39.92/40.16 cnf(matrix-8238, plain, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u20959))) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OMin), _u20959)) )).
% 39.92/40.16 cnf(matrix-8239, plain, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OMin), _u20960)) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u20960))) )).
% 39.92/40.16 cnf(matrix-8240, plain, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OBit1(_u20962)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), _u20962), c_Int_OMin)) )).
% 39.92/40.16 cnf(matrix-8241, plain, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), _u20963), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OBit1(_u20963)), c_Int_OMin)) )).
% 39.92/40.16 cnf(matrix-8242, plain, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OMin), c_Int_OPls)) )).
% 39.92/40.16 cnf(matrix-8243, plain, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OPls), c_Int_OMin)) )).
% 39.92/40.16 cnf(matrix-8244, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool), c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.92/40.16 cnf(matrix-8245, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool), c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 39.92/40.16 cnf(matrix-8246, plain, ( ( c_New__Random__Sequence_Oneg__decr__bind(_u20964, _u20965, _u20966, _u20967, _u20968, _u20969, _u20970) = c_New__DSequence_Oneg__decr__bind(_u20964, _u20965, hAPP(hAPP(hAPP(_u20966, _u20968), _u20969), _u20970), hAPP(hAPP(c_COMBC(_u20964, 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(_u20965)))), hAPP(hAPP(c_COMBC(_u20964, 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(_u20965))))), hAPP(hAPP(c_COMBC(_u20964, 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(_u20965)))))), _u20967), _u20968)), _u20969)), _u20970))) )).
% 39.92/40.16 cnf(matrix-8247, plain, ( ( hAPP(c_New__DSequence_Oneg__bind(_u20971, _u20972, _u20973, _u20974), _u20975) = c_Lazy__Sequence_Ohb__bind(_u20971, _u20972, hAPP(_u20973, _u20975), hAPP(hAPP(c_COMBC(_u20971, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(_u20972))), _u20974), _u20975))) )).
% 39.92/40.16 cnf(matrix-8248, plain, ( hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), _u20976), _u20976)) )).
% 39.92/40.16 cnf(matrix-8249, plain, ( ( hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__bind(_u20977, _u20978, _u20979, _u20980), _u20981), _u20982), _u20983) = c_New__DSequence_Oneg__bind(_u20977, _u20978, hAPP(hAPP(hAPP(_u20979, _u20981), _u20982), _u20983), hAPP(hAPP(c_COMBC(_u20977, 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(_u20978)))), hAPP(hAPP(c_COMBC(_u20977, 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(_u20978))))), hAPP(hAPP(c_COMBC(_u20977, 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(_u20978)))))), _u20980), _u20981)), _u20982)), _u20983))) )).
% 39.92/40.16 cnf(matrix-8250, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(_u20984)), _u20985) = hAPP(c_Option_Ooption_Ooption__case(tc_Nat_Onat, tc_prod(_u20984, tc_Lazy__Sequence_Olazy__sequence(_u20984)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Product__Type_Oprod_Oprod__case(_u20984, tc_Lazy__Sequence_Olazy__sequence(_u20984), tc_Nat_Onat), hAPP(c_COMBK(tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u20984), tc_Nat_Onat), _u20984), hAPP(hAPP(c_COMBC(tc_Lazy__Sequence_Olazy__sequence(_u20984), 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(_u20984)), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(_u20984)))), c_Groups_Oone__class_Oone(tc_Nat_Onat))))), hAPP(c_Lazy__Sequence_Oyield(_u20984), _u20985))) )).
% 39.92/40.16 cnf(matrix-8251, plain, ( ( hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(_u20986, _u20987), _u20988) = hAPP(c_Option_Ooption_Ooption__case(tc_Nat_Onat, tc_prod(_u20986, tc_Lazy__Sequence_Olazy__sequence(_u20986)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Product__Type_Oprod_Oprod__case(_u20986, tc_Lazy__Sequence_Olazy__sequence(_u20986), tc_Nat_Onat), hAPP(hAPP(c_COMBC(_u20986, tc_Nat_Onat, tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u20986), tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u20986), tc_fun(tc_Nat_Onat, tc_Nat_Onat)), tc_fun(tc_Nat_Onat, tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u20986), tc_Nat_Onat)), _u20986), c_COMBC(tc_Lazy__Sequence_Olazy__sequence(_u20986), tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u20986), tc_Nat_Onat), tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u20986), tc_fun(tc_Nat_Onat, tc_Nat_Onat)), _u20986), hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_Lazy__Sequence_Olazy__sequence(_u20986)), c_Groups_Oplus__class_Oplus(tc_Nat_Onat))), hAPP(hAPP(c_COMBC(_u20986, tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u20986), tc_Nat_Onat), tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u20986), tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_fun(tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u20986), tc_Nat_Onat), tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u20986), tc_Nat_Onat)), _u20986), c_COMBB(tc_Nat_Onat, tc_Nat_Onat, tc_Lazy__Sequence_Olazy__sequence(_u20986))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), _u20986), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u20987))), c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(_u20986, _u20987))))), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(c_Lazy__Sequence_Oyield(_u20986), _u20988))) )).
% 39.92/40.16 cnf(matrix-8252, plain, ( ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(_u20989, _u20990, _u20991, _u20992, _u20993) = hAPP(c_Option_Ooption_Ooption__case(_u20989, tc_prod(_u20990, tc_Lazy__Sequence_Olazy__sequence(_u20990)), _u20991, hAPP(c_Product__Type_Oprod_Oprod__case(_u20990, tc_Lazy__Sequence_Olazy__sequence(_u20990), _u20989), _u20992)), hAPP(c_Lazy__Sequence_Oyield(_u20990), _u20993))) )).
% 39.92/40.16 cnf(matrix-8253, plain, ( ( c_Lazy__Sequence_Oyieldn(_u20994) = c_Lazy__Sequence_Oanamorph(tc_Lazy__Sequence_Olazy__sequence(_u20994), _u20994, c_Lazy__Sequence_Oyield(_u20994))) )).
% 39.92/40.16 cnf(matrix-8254, plain, ( ( hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(_u20995, _u20996), c_Lazy__Sequence_Olazy__sequence_OInsert(_u20995, _u20997, _u20998)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u20996, _u20997)), hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(_u20995, _u20996), _u20998))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 39.92/40.16 cnf(matrix-8255, plain, ( ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(_u20999, _u21000, _u21001, _u21002, c_Lazy__Sequence_Olazy__sequence_OInsert(_u21000, _u21003, _u21004)) = hAPP(hAPP(_u21002, _u21003), _u21004)) )).
% 39.92/40.16 cnf(matrix-8256, plain, ( ( c_Lazy__Sequence_Olazy__sequence_OInsert(_u21010, _u21012, _u21014) != c_Lazy__Sequence_Olazy__sequence_OInsert(_u21010, _u21016, _u21018)) | ( _u21012 = _u21016) )).
% 39.92/40.16 cnf(matrix-8257, plain, ( ( c_Lazy__Sequence_Olazy__sequence_OInsert(_u21010, _u21012, _u21014) != c_Lazy__Sequence_Olazy__sequence_OInsert(_u21010, _u21016, _u21018)) | ( _u21014 = _u21018) )).
% 39.92/40.16 cnf(matrix-8258, plain, ( ( _u21013 != _u21017) | ( _u21015 != _u21019) | ( c_Lazy__Sequence_Olazy__sequence_OInsert(_u21011, _u21013, _u21015) = c_Lazy__Sequence_Olazy__sequence_OInsert(_u21011, _u21017, _u21019)) )).
% 39.92/40.16 cnf(matrix-8259, plain, ( ( hAPP(c_Lazy__Sequence_Oyield(_u21020), c_Lazy__Sequence_Olazy__sequence_OInsert(_u21020, _u21021, _u21022)) = hAPP(c_Option_Ooption_OSome(tc_prod(_u21020, tc_Lazy__Sequence_Olazy__sequence(_u21020))), hAPP(hAPP(c_Product__Type_OPair(_u21020, tc_Lazy__Sequence_Olazy__sequence(_u21020)), _u21021), _u21022))) )).
% 39.92/40.16 cnf(matrix-8260, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(_u21023)), c_Lazy__Sequence_Olazy__sequence_OInsert(_u21023, _u21024, _u21025)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(_u21023)), _u21025)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 39.92/40.16 cnf(matrix-8261, plain, ( ( c_New__Random__Sequence_Oneg__map(_u21026, _u21027, _u21028, _u21029) = c_New__Random__Sequence_Oneg__bind(_u21026, _u21027, _u21029, hAPP(c_Fun_Ocomp(_u21027, 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(_u21027)))))), _u21026, c_New__Random__Sequence_Oneg__single(_u21027)), _u21028))) )).
% 39.92/40.16 cnf(matrix-8262, plain, ( ( _u21035 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Opos__decr__bind(_u21037, _u21039, _u21041, _u21043), _u21035) = c_Lazy__Sequence_Oempty(_u21039)) )).
% 39.92/40.16 cnf(matrix-8263, plain, ( ( _u21036 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Opos__decr__bind(_u21038, _u21040, _u21042, _u21044), _u21036) = c_Lazy__Sequence_Obind(_u21038, _u21040, hAPP(_u21042, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u21036), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))), hAPP(hAPP(c_COMBC(_u21038, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u21040)), _u21044), _u21036))) )).
% 39.92/40.16 cnf(matrix-8264, plain, ( ( c_New__Random__Sequence_Opos__decr__bind(_u21045, _u21046, _u21047, _u21048, _u21049, _u21050, _u21051) = c_New__DSequence_Opos__decr__bind(_u21045, _u21046, hAPP(hAPP(hAPP(_u21047, _u21049), _u21050), _u21051), hAPP(hAPP(c_COMBC(_u21045, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u21046))), hAPP(hAPP(c_COMBC(_u21045, 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(_u21046)))), hAPP(hAPP(c_COMBC(_u21045, 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(_u21046))))), _u21048), _u21049)), _u21050)), _u21051))) )).
% 39.92/40.16 cnf(matrix-8265, plain, ( class_Lattices_Obounded__lattice(tc_HOL_Obool) )).
% 39.92/40.16 cnf(matrix-8266, plain, ( ~class_Lattices_Obounded__lattice(_u21052) | class_Lattices_Obounded__lattice(tc_fun(_u21053, _u21052)) )).
% 39.92/40.16 cnf(matrix-8267, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u21054) | class_Complete__Lattice_Ocomplete__lattice(tc_fun(_u21055, _u21054)) )).
% 39.92/40.16 cnf(matrix-8268, plain, ( ~class_Lattices_Obounded__lattice(_u21056) | class_Lattices_Obounded__lattice__top(tc_fun(_u21057, _u21056)) )).
% 39.92/40.16 cnf(matrix-8269, plain, ( ~class_Lattices_Obounded__lattice(_u21058) | class_Lattices_Obounded__lattice__bot(tc_fun(_u21059, _u21058)) )).
% 39.92/40.16 cnf(matrix-8270, plain, ( ~class_Lattices_Olattice(_u21060) | class_Lattices_Osemilattice__sup(tc_fun(_u21061, _u21060)) )).
% 39.92/40.16 cnf(matrix-8271, plain, ( ~class_Lattices_Olattice(_u21062) | class_Lattices_Osemilattice__inf(tc_fun(_u21063, _u21062)) )).
% 39.92/40.16 cnf(matrix-8272, plain, ( ~class_Lattices_Odistrib__lattice(_u21064) | class_Lattices_Odistrib__lattice(tc_fun(_u21065, _u21064)) )).
% 39.92/40.16 cnf(matrix-8273, plain, ( ~class_Lattices_Oboolean__algebra(_u21066) | class_Lattices_Oboolean__algebra(tc_fun(_u21067, _u21066)) )).
% 39.92/40.16 cnf(matrix-8274, plain, ( ~class_Orderings_Opreorder(_u21068) | class_Orderings_Opreorder(tc_fun(_u21069, _u21068)) )).
% 39.92/40.16 cnf(matrix-8275, plain, ( ~class_Finite__Set_Ofinite(_u21070) | ~class_Finite__Set_Ofinite(_u21071) | class_Finite__Set_Ofinite(tc_fun(_u21070, _u21071)) )).
% 39.92/40.16 cnf(matrix-8276, plain, ( ~class_Lattices_Olattice(_u21072) | class_Lattices_Olattice(tc_fun(_u21073, _u21072)) )).
% 39.92/40.16 cnf(matrix-8277, plain, ( ~class_Orderings_Oorder(_u21074) | class_Orderings_Oorder(tc_fun(_u21075, _u21074)) )).
% 39.92/40.16 cnf(matrix-8278, plain, ( ~class_Orderings_Otop(_u21076) | class_Orderings_Otop(tc_fun(_u21077, _u21076)) )).
% 39.92/40.16 cnf(matrix-8279, plain, ( ~class_Orderings_Oord(_u21078) | class_Orderings_Oord(tc_fun(_u21079, _u21078)) )).
% 39.92/40.16 cnf(matrix-8280, plain, ( ~class_Orderings_Obot(_u21080) | class_Orderings_Obot(tc_fun(_u21081, _u21080)) )).
% 39.92/40.16 cnf(matrix-8281, plain, ( ~class_Groups_Ouminus(_u21082) | class_Groups_Ouminus(tc_fun(_u21083, _u21082)) )).
% 39.92/40.16 cnf(matrix-8282, plain, ( ~class_Groups_Ominus(_u21084) | class_Groups_Ominus(tc_fun(_u21085, _u21084)) )).
% 39.92/40.16 cnf(matrix-8283, plain, ( ~class_Enum_Oenum(_u21086) | ~class_HOL_Oequal(_u21087) | class_HOL_Oequal(tc_fun(_u21086, _u21087)) )).
% 39.92/40.16 cnf(matrix-8284, plain, ( ~class_Enum_Oenum(_u21088) | ~class_Enum_Oenum(_u21089) | class_Enum_Oenum(tc_fun(_u21088, _u21089)) )).
% 39.92/40.16 cnf(matrix-8285, plain, ( class_HOL_Oequal(tc_Com_Ocom) )).
% 39.92/40.16 cnf(matrix-8286, plain, ( class_Nat_Osize(tc_Com_Ocom) )).
% 39.92/40.16 cnf(matrix-8287, plain, ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) )).
% 39.92/40.16 cnf(matrix-8288, plain, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) )).
% 39.92/40.16 cnf(matrix-8289, plain, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) )).
% 39.92/40.16 cnf(matrix-8290, plain, ( class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) )).
% 39.92/40.16 cnf(matrix-8291, plain, ( class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) )).
% 39.92/40.16 cnf(matrix-8292, plain, ( class_Groups_Olinordered__ab__semigroup__add(tc_Int_Oint) )).
% 39.92/40.16 cnf(matrix-8293, plain, ( class_Rings_Olinordered__semiring__strict(tc_Int_Oint) )).
% 39.92/40.16 cnf(matrix-8294, plain, ( class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) )).
% 39.92/40.16 cnf(matrix-8295, plain, ( class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint) )).
% 39.92/40.16 cnf(matrix-8296, plain, ( class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) )).
% 39.92/40.16 cnf(matrix-8297, plain, ( class_Groups_Olinordered__ab__group__add(tc_Int_Oint) )).
% 39.92/40.16 cnf(matrix-8298, plain, ( class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) )).
% 39.92/40.16 cnf(matrix-8299, plain, ( class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) )).
% 39.92/40.16 cnf(matrix-8300, plain, ( class_Rings_Oordered__cancel__semiring(tc_Int_Oint) )).
% 39.92/40.16 cnf(matrix-8301, plain, ( class_Rings_Olinordered__ring__strict(tc_Int_Oint) )).
% 39.92/40.16 cnf(matrix-8302, plain, ( class_Rings_Oring__no__zero__divisors(tc_Int_Oint) )).
% 39.92/40.16 cnf(matrix-8303, plain, ( class_Rings_Oordered__comm__semiring(tc_Int_Oint) )).
% 39.92/40.16 cnf(matrix-8304, plain, ( class_Rings_Olinordered__semiring__1(tc_Int_Oint) )).
% 39.92/40.16 cnf(matrix-8305, plain, ( class_Groups_Oordered__ab__group__add(tc_Int_Oint) )).
% 39.92/40.16 cnf(matrix-8306, plain, ( class_Groups_Ocancel__semigroup__add(tc_Int_Oint) )).
% 39.92/40.16 cnf(matrix-8307, plain, ( class_Rings_Olinordered__semiring(tc_Int_Oint) )).
% 39.92/40.16 cnf(matrix-8308, plain, ( class_Rings_Olinordered__semidom(tc_Int_Oint) )).
% 39.92/40.16 cnf(matrix-8309, plain, ( class_Lattices_Osemilattice__sup(tc_Int_Oint) )).
% 39.92/40.16 cnf(matrix-8310, plain, ( class_Lattices_Osemilattice__inf(tc_Int_Oint) )).
% 39.92/40.16 cnf(matrix-8311, plain, ( class_Lattices_Odistrib__lattice(tc_Int_Oint) )).
% 39.92/40.16 cnf(matrix-8312, plain, ( class_Groups_Oab__semigroup__mult(tc_Int_Oint) )).
% 39.92/40.16 cnf(matrix-8313, plain, ( class_Groups_Ocomm__monoid__mult(tc_Int_Oint) )).
% 39.92/40.16 cnf(matrix-8314, plain, ( class_Groups_Oab__semigroup__add(tc_Int_Oint) )).
% 39.92/40.16 cnf(matrix-8315, plain, ( class_Rings_Oordered__semiring(tc_Int_Oint) )).
% 39.92/40.16 cnf(matrix-8316, plain, ( class_Rings_Oordered__ring__abs(tc_Int_Oint) )).
% 39.92/40.16 cnf(matrix-8317, plain, ( class_Rings_Ono__zero__divisors(tc_Int_Oint) )).
% 39.92/40.16 cnf(matrix-8318, plain, ( class_Groups_Ocomm__monoid__add(tc_Int_Oint) )).
% 39.92/40.16 cnf(matrix-8319, plain, ( class_Rings_Olinordered__ring(tc_Int_Oint) )).
% 39.92/40.16 cnf(matrix-8320, plain, ( class_Rings_Olinordered__idom(tc_Int_Oint) )).
% 39.92/40.16 cnf(matrix-8321, plain, ( class_Rings_Ocomm__semiring__1(tc_Int_Oint) )).
% 39.92/40.16 cnf(matrix-8322, plain, ( class_Groups_Osemigroup__add(tc_Int_Oint) )).
% 39.92/40.16 cnf(matrix-8323, plain, ( class_Divides_Osemiring__div(tc_Int_Oint) )).
% 39.92/40.16 cnf(matrix-8324, plain, ( class_Rings_Ocomm__semiring(tc_Int_Oint) )).
% 39.92/40.16 cnf(matrix-8325, plain, ( class_Nat_Osemiring__char__0(tc_Int_Oint) )).
% 39.92/40.16 cnf(matrix-8326, plain, ( class_Groups_Oab__group__add(tc_Int_Oint) )).
% 39.92/40.16 cnf(matrix-8327, plain, ( class_Rings_Ozero__neq__one(tc_Int_Oint) )).
% 39.92/40.16 cnf(matrix-8328, plain, ( class_Rings_Oordered__ring(tc_Int_Oint) )).
% 39.92/40.16 cnf(matrix-8329, plain, ( class_Orderings_Opreorder(tc_Int_Oint) )).
% 39.92/40.16 cnf(matrix-8330, plain, ( class_Orderings_Olinorder(tc_Int_Oint) )).
% 39.92/40.16 cnf(matrix-8331, plain, ( class_Groups_Omonoid__mult(tc_Int_Oint) )).
% 39.92/40.16 cnf(matrix-8332, plain, ( class_Rings_Ocomm__ring__1(tc_Int_Oint) )).
% 39.92/40.16 cnf(matrix-8333, plain, ( class_Groups_Omonoid__add(tc_Int_Oint) )).
% 39.92/40.16 cnf(matrix-8334, plain, ( class_Smallcheck_Osmall(tc_Int_Oint) )).
% 39.92/40.16 cnf(matrix-8335, plain, ( class_Rings_Osemiring__1(tc_Int_Oint) )).
% 39.92/40.16 cnf(matrix-8336, plain, ( class_Rings_Osemiring__0(tc_Int_Oint) )).
% 39.92/40.16 cnf(matrix-8337, plain, ( class_Lattices_Olattice(tc_Int_Oint) )).
% 39.92/40.16 cnf(matrix-8338, plain, ( class_Groups_Ogroup__add(tc_Int_Oint) )).
% 39.92/40.16 cnf(matrix-8339, plain, ( class_Divides_Oring__div(tc_Int_Oint) )).
% 39.92/40.16 cnf(matrix-8340, plain, ( class_Rings_Omult__zero(tc_Int_Oint) )).
% 39.92/40.16 cnf(matrix-8341, plain, ( class_Orderings_Oorder(tc_Int_Oint) )).
% 39.92/40.16 cnf(matrix-8342, plain, ( class_Int_Oring__char__0(tc_Int_Oint) )).
% 39.92/40.16 cnf(matrix-8343, plain, ( class_Int_Onumber__ring(tc_Int_Oint) )).
% 39.92/40.16 cnf(matrix-8344, plain, ( class_Rings_Osemiring(tc_Int_Oint) )).
% 39.92/40.16 cnf(matrix-8345, plain, ( class_Orderings_Oord(tc_Int_Oint) )).
% 39.92/40.16 cnf(matrix-8346, plain, ( class_Groups_Ouminus(tc_Int_Oint) )).
% 39.92/40.16 cnf(matrix-8347, plain, ( class_Groups_Osgn__if(tc_Int_Oint) )).
% 39.92/40.16 cnf(matrix-8348, plain, ( class_Groups_Oabs__if(tc_Int_Oint) )).
% 39.92/40.16 cnf(matrix-8349, plain, ( class_Rings_Oring__1(tc_Int_Oint) )).
% 39.92/40.16 cnf(matrix-8350, plain, ( class_Groups_Ominus(tc_Int_Oint) )).
% 39.92/40.16 cnf(matrix-8351, plain, ( class_Power_Opower(tc_Int_Oint) )).
% 39.92/40.16 cnf(matrix-8352, plain, ( class_Groups_Ozero(tc_Int_Oint) )).
% 39.92/40.16 cnf(matrix-8353, plain, ( class_Rings_Oring(tc_Int_Oint) )).
% 39.92/40.16 cnf(matrix-8354, plain, ( class_Rings_Oidom(tc_Int_Oint) )).
% 39.92/40.16 cnf(matrix-8355, plain, ( class_Int_Onumber(tc_Int_Oint) )).
% 39.92/40.16 cnf(matrix-8356, plain, ( class_Groups_Oone(tc_Int_Oint) )).
% 39.92/40.16 cnf(matrix-8357, plain, ( class_HOL_Oequal(tc_Int_Oint) )).
% 39.92/40.16 cnf(matrix-8358, plain, ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) )).
% 39.92/40.16 cnf(matrix-8359, plain, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) )).
% 39.92/40.16 cnf(matrix-8360, plain, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) )).
% 39.92/40.16 cnf(matrix-8361, plain, ( class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) )).
% 39.92/40.16 cnf(matrix-8362, plain, ( class_Groups_Olinordered__ab__semigroup__add(tc_Nat_Onat) )).
% 39.92/40.16 cnf(matrix-8363, plain, ( class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) )).
% 39.92/40.16 cnf(matrix-8364, plain, ( class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) )).
% 39.92/40.16 cnf(matrix-8365, plain, ( class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) )).
% 39.92/40.16 cnf(matrix-8366, plain, ( class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) )).
% 39.92/40.16 cnf(matrix-8367, plain, ( class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) )).
% 39.92/40.16 cnf(matrix-8368, plain, ( class_Rings_Oordered__comm__semiring(tc_Nat_Onat) )).
% 39.92/40.16 cnf(matrix-8369, plain, ( class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) )).
% 39.92/40.16 cnf(matrix-8370, plain, ( class_Rings_Olinordered__semiring(tc_Nat_Onat) )).
% 39.92/40.16 cnf(matrix-8371, plain, ( class_Rings_Olinordered__semidom(tc_Nat_Onat) )).
% 39.92/40.16 cnf(matrix-8372, plain, ( class_Lattices_Osemilattice__sup(tc_Nat_Onat) )).
% 39.92/40.16 cnf(matrix-8373, plain, ( class_Lattices_Osemilattice__inf(tc_Nat_Onat) )).
% 39.92/40.16 cnf(matrix-8374, plain, ( class_Lattices_Odistrib__lattice(tc_Nat_Onat) )).
% 39.92/40.16 cnf(matrix-8375, plain, ( class_Groups_Oab__semigroup__mult(tc_Nat_Onat) )).
% 39.92/40.16 cnf(matrix-8376, plain, ( class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) )).
% 39.92/40.16 cnf(matrix-8377, plain, ( class_Groups_Oab__semigroup__add(tc_Nat_Onat) )).
% 39.92/40.16 cnf(matrix-8378, plain, ( class_Rings_Oordered__semiring(tc_Nat_Onat) )).
% 39.92/40.16 cnf(matrix-8379, plain, ( class_Rings_Ono__zero__divisors(tc_Nat_Onat) )).
% 39.92/40.16 cnf(matrix-8380, plain, ( class_Groups_Ocomm__monoid__add(tc_Nat_Onat) )).
% 39.92/40.16 cnf(matrix-8381, plain, ( class_Rings_Ocomm__semiring__1(tc_Nat_Onat) )).
% 39.92/40.16 cnf(matrix-8382, plain, ( class_Groups_Osemigroup__add(tc_Nat_Onat) )).
% 39.92/40.16 cnf(matrix-8383, plain, ( class_Divides_Osemiring__div(tc_Nat_Onat) )).
% 39.92/40.16 cnf(matrix-8384, plain, ( class_Rings_Ocomm__semiring(tc_Nat_Onat) )).
% 39.92/40.16 cnf(matrix-8385, plain, ( class_Orderings_Owellorder(tc_Nat_Onat) )).
% 39.92/40.16 cnf(matrix-8386, plain, ( class_Nat_Osemiring__char__0(tc_Nat_Onat) )).
% 39.92/40.16 cnf(matrix-8387, plain, ( class_Rings_Ozero__neq__one(tc_Nat_Onat) )).
% 39.92/40.16 cnf(matrix-8388, plain, ( class_Orderings_Opreorder(tc_Nat_Onat) )).
% 39.92/40.16 cnf(matrix-8389, plain, ( class_Orderings_Olinorder(tc_Nat_Onat) )).
% 39.92/40.16 cnf(matrix-8390, plain, ( class_Groups_Omonoid__mult(tc_Nat_Onat) )).
% 39.92/40.16 cnf(matrix-8391, plain, ( class_Groups_Omonoid__add(tc_Nat_Onat) )).
% 39.92/40.16 cnf(matrix-8392, plain, ( class_Rings_Osemiring__1(tc_Nat_Onat) )).
% 39.92/40.16 cnf(matrix-8393, plain, ( class_Rings_Osemiring__0(tc_Nat_Onat) )).
% 39.92/40.16 cnf(matrix-8394, plain, ( class_Lattices_Olattice(tc_Nat_Onat) )).
% 39.92/40.16 cnf(matrix-8395, plain, ( class_Rings_Omult__zero(tc_Nat_Onat) )).
% 39.92/40.16 cnf(matrix-8396, plain, ( class_Orderings_Oorder(tc_Nat_Onat) )).
% 39.92/40.16 cnf(matrix-8397, plain, ( class_Rings_Osemiring(tc_Nat_Onat) )).
% 39.92/40.16 cnf(matrix-8398, plain, ( class_Orderings_Oord(tc_Nat_Onat) )).
% 39.92/40.16 cnf(matrix-8399, plain, ( class_Orderings_Obot(tc_Nat_Onat) )).
% 39.92/40.16 cnf(matrix-8400, plain, ( class_Groups_Ominus(tc_Nat_Onat) )).
% 39.92/40.16 cnf(matrix-8401, plain, ( class_Power_Opower(tc_Nat_Onat) )).
% 39.92/40.16 cnf(matrix-8402, plain, ( class_Groups_Ozero(tc_Nat_Onat) )).
% 39.92/40.16 cnf(matrix-8403, plain, ( class_Int_Onumber(tc_Nat_Onat) )).
% 39.92/40.16 cnf(matrix-8404, plain, ( class_Groups_Oone(tc_Nat_Onat) )).
% 39.92/40.16 cnf(matrix-8405, plain, ( class_HOL_Oequal(tc_Nat_Onat) )).
% 39.92/40.16 cnf(matrix-8406, plain, ( class_Nat_Osize(tc_Nat_Onat) )).
% 39.92/40.16 cnf(matrix-8407, plain, ( class_Complete__Lattice_Ocomplete__lattice(tc_HOL_Obool) )).
% 39.92/40.16 cnf(matrix-8408, plain, ( class_Lattices_Obounded__lattice__top(tc_HOL_Obool) )).
% 39.92/40.16 cnf(matrix-8409, plain, ( class_Lattices_Obounded__lattice__bot(tc_HOL_Obool) )).
% 39.92/40.16 cnf(matrix-8410, plain, ( class_Lattices_Osemilattice__sup(tc_HOL_Obool) )).
% 39.92/40.16 cnf(matrix-8411, plain, ( class_Lattices_Osemilattice__inf(tc_HOL_Obool) )).
% 39.92/40.16 cnf(matrix-8412, plain, ( class_Lattices_Odistrib__lattice(tc_HOL_Obool) )).
% 39.92/40.16 cnf(matrix-8413, plain, ( class_Lattices_Oboolean__algebra(tc_HOL_Obool) )).
% 39.92/40.16 cnf(matrix-8414, plain, ( class_Orderings_Opreorder(tc_HOL_Obool) )).
% 39.92/40.16 cnf(matrix-8415, plain, ( class_Finite__Set_Ofinite(tc_HOL_Obool) )).
% 39.92/40.16 cnf(matrix-8416, plain, ( class_Lattices_Olattice(tc_HOL_Obool) )).
% 39.92/40.16 cnf(matrix-8417, plain, ( class_Orderings_Oorder(tc_HOL_Obool) )).
% 39.92/40.16 cnf(matrix-8418, plain, ( class_Orderings_Otop(tc_HOL_Obool) )).
% 39.92/40.16 cnf(matrix-8419, plain, ( class_Orderings_Oord(tc_HOL_Obool) )).
% 39.92/40.16 cnf(matrix-8420, plain, ( class_Orderings_Obot(tc_HOL_Obool) )).
% 39.92/40.16 cnf(matrix-8421, plain, ( class_Groups_Ouminus(tc_HOL_Obool) )).
% 39.92/40.16 cnf(matrix-8422, plain, ( class_Groups_Ominus(tc_HOL_Obool) )).
% 39.92/40.16 cnf(matrix-8423, plain, ( class_HOL_Oequal(tc_HOL_Obool) )).
% 39.92/40.16 cnf(matrix-8424, plain, ( class_Enum_Oenum(tc_HOL_Obool) )).
% 39.92/40.16 cnf(matrix-8425, plain, ( class_Nat_Osize(tc_HOL_Obool) )).
% 39.92/40.16 cnf(matrix-8426, plain, ( class_HOL_Oequal(tc_Com_Ostate) )).
% 39.92/40.16 cnf(matrix-8427, plain, ( class_Nat_Osize(tc_Com_Ostate) )).
% 39.92/40.16 cnf(matrix-8428, plain, ( class_HOL_Oequal(tc_Com_Ovname) )).
% 39.92/40.16 cnf(matrix-8429, plain, ( class_Nat_Osize(tc_Com_Ovname) )).
% 39.92/40.16 cnf(matrix-8430, plain, ( class_HOL_Oequal(tc_List_Olist(_u21090)) )).
% 39.92/40.16 cnf(matrix-8431, plain, ( class_Nat_Osize(tc_List_Olist(_u21091)) )).
% 39.92/40.16 cnf(matrix-8432, plain, ( ~class_Finite__Set_Ofinite(_u21092) | ~class_Finite__Set_Ofinite(_u21093) | class_Finite__Set_Ofinite(tc_sum(_u21092, _u21093)) )).
% 39.92/40.16 cnf(matrix-8433, plain, ( class_HOL_Oequal(tc_sum(_u21094, _u21095)) )).
% 39.92/40.16 cnf(matrix-8434, plain, ( ~class_Enum_Oenum(_u21096) | ~class_Enum_Oenum(_u21097) | class_Enum_Oenum(tc_sum(_u21096, _u21097)) )).
% 39.92/40.16 cnf(matrix-8435, plain, ( class_Nat_Osize(tc_sum(_u21098, _u21099)) )).
% 39.92/40.16 cnf(matrix-8436, plain, ( ~class_Finite__Set_Ofinite(_u21100) | class_Finite__Set_Ofinite(tc_Option_Ooption(_u21100)) )).
% 39.92/40.16 cnf(matrix-8437, plain, ( class_HOL_Oequal(tc_Option_Ooption(_u21101)) )).
% 39.92/40.16 cnf(matrix-8438, plain, ( ~class_Enum_Oenum(_u21102) | class_Enum_Oenum(tc_Option_Ooption(_u21102)) )).
% 39.92/40.16 cnf(matrix-8439, plain, ( class_Nat_Osize(tc_Option_Ooption(_u21103)) )).
% 39.92/40.16 cnf(matrix-8440, plain, ( ~class_Finite__Set_Ofinite(_u21104) | ~class_Finite__Set_Ofinite(_u21105) | class_Finite__Set_Ofinite(tc_prod(_u21104, _u21105)) )).
% 39.92/40.16 cnf(matrix-8441, plain, ( ~class_Smallcheck_Osmall(_u21106) | ~class_Smallcheck_Osmall(_u21107) | class_Smallcheck_Osmall(tc_prod(_u21106, _u21107)) )).
% 39.92/40.16 cnf(matrix-8442, plain, ( class_HOL_Oequal(tc_prod(_u21108, _u21109)) )).
% 39.92/40.16 cnf(matrix-8443, plain, ( ~class_Enum_Oenum(_u21110) | ~class_Enum_Oenum(_u21111) | class_Enum_Oenum(tc_prod(_u21110, _u21111)) )).
% 39.92/40.16 cnf(matrix-8444, plain, ( class_Nat_Osize(tc_prod(_u21112, _u21113)) )).
% 39.92/40.16 cnf(matrix-8445, plain, ( class_Finite__Set_Ofinite(tc_Product__Type_Ounit) )).
% 39.92/40.16 cnf(matrix-8446, plain, ( class_Smallcheck_Osmall(tc_Product__Type_Ounit) )).
% 39.92/40.16 cnf(matrix-8447, plain, ( class_HOL_Oequal(tc_Product__Type_Ounit) )).
% 39.92/40.16 cnf(matrix-8448, plain, ( class_Enum_Oenum(tc_Product__Type_Ounit) )).
% 39.92/40.16 cnf(matrix-8449, plain, ( class_Nat_Osize(tc_Product__Type_Ounit) )).
% 39.92/40.16 cnf(matrix-8450, plain, ( class_HOL_Oequal(tc_Code__Evaluation_Oterm) )).
% 39.92/40.16 cnf(matrix-8451, plain, ( class_Nat_Osize(tc_Code__Evaluation_Oterm) )).
% 39.92/40.16 cnf(matrix-8452, plain, ( class_HOL_Oequal(tc_Hoare__Mirabelle_Otriple(_u21114)) )).
% 39.92/40.16 cnf(matrix-8453, plain, ( class_Nat_Osize(tc_Hoare__Mirabelle_Otriple(_u21115)) )).
% 39.92/40.16 cnf(matrix-8454, plain, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 39.92/40.16 cnf(matrix-8455, plain, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Code__Numeral_Ocode__numeral) )).
% 39.92/40.16 cnf(matrix-8456, plain, ( class_Rings_Olinordered__comm__semiring__strict(tc_Code__Numeral_Ocode__numeral) )).
% 39.92/40.16 cnf(matrix-8457, plain, ( class_Groups_Olinordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 39.92/40.16 cnf(matrix-8458, plain, ( class_Rings_Olinordered__semiring__strict(tc_Code__Numeral_Ocode__numeral) )).
% 39.92/40.16 cnf(matrix-8459, plain, ( class_Groups_Oordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 39.92/40.16 cnf(matrix-8460, plain, ( class_Groups_Oordered__comm__monoid__add(tc_Code__Numeral_Ocode__numeral) )).
% 39.92/40.16 cnf(matrix-8461, plain, ( class_Groups_Ocancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 39.92/40.16 cnf(matrix-8462, plain, ( class_Rings_Oordered__cancel__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 39.92/40.16 cnf(matrix-8463, plain, ( class_Rings_Oordered__comm__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 39.92/40.16 cnf(matrix-8464, plain, ( class_Groups_Ocancel__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 39.92/40.16 cnf(matrix-8465, plain, ( class_Rings_Olinordered__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 39.92/40.16 cnf(matrix-8466, plain, ( class_Rings_Olinordered__semidom(tc_Code__Numeral_Ocode__numeral) )).
% 39.92/40.16 cnf(matrix-8467, plain, ( class_Groups_Oab__semigroup__mult(tc_Code__Numeral_Ocode__numeral) )).
% 39.92/40.16 cnf(matrix-8468, plain, ( class_Groups_Ocomm__monoid__mult(tc_Code__Numeral_Ocode__numeral) )).
% 39.92/40.16 cnf(matrix-8469, plain, ( class_Groups_Oab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 39.92/40.16 cnf(matrix-8470, plain, ( class_Rings_Oordered__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 39.92/40.16 cnf(matrix-8471, plain, ( class_Rings_Ono__zero__divisors(tc_Code__Numeral_Ocode__numeral) )).
% 39.92/40.16 cnf(matrix-8472, plain, ( class_Groups_Ocomm__monoid__add(tc_Code__Numeral_Ocode__numeral) )).
% 39.92/40.16 cnf(matrix-8473, plain, ( class_Rings_Ocomm__semiring__1(tc_Code__Numeral_Ocode__numeral) )).
% 39.92/40.16 cnf(matrix-8474, plain, ( class_Groups_Osemigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 39.92/40.16 cnf(matrix-8475, plain, ( class_Divides_Osemiring__div(tc_Code__Numeral_Ocode__numeral) )).
% 39.92/40.16 cnf(matrix-8476, plain, ( class_Rings_Ocomm__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 39.92/40.16 cnf(matrix-8477, plain, ( class_Nat_Osemiring__char__0(tc_Code__Numeral_Ocode__numeral) )).
% 39.92/40.16 cnf(matrix-8478, plain, ( class_Rings_Ozero__neq__one(tc_Code__Numeral_Ocode__numeral) )).
% 39.92/40.16 cnf(matrix-8479, plain, ( class_Orderings_Opreorder(tc_Code__Numeral_Ocode__numeral) )).
% 39.92/40.16 cnf(matrix-8480, plain, ( class_Orderings_Olinorder(tc_Code__Numeral_Ocode__numeral) )).
% 39.92/40.16 cnf(matrix-8481, plain, ( class_Groups_Omonoid__mult(tc_Code__Numeral_Ocode__numeral) )).
% 39.92/40.16 cnf(matrix-8482, plain, ( class_Groups_Omonoid__add(tc_Code__Numeral_Ocode__numeral) )).
% 39.92/40.16 cnf(matrix-8483, plain, ( class_Rings_Osemiring__1(tc_Code__Numeral_Ocode__numeral) )).
% 39.92/40.16 cnf(matrix-8484, plain, ( class_Rings_Osemiring__0(tc_Code__Numeral_Ocode__numeral) )).
% 39.92/40.16 cnf(matrix-8485, plain, ( class_Rings_Omult__zero(tc_Code__Numeral_Ocode__numeral) )).
% 39.92/40.16 cnf(matrix-8486, plain, ( class_Orderings_Oorder(tc_Code__Numeral_Ocode__numeral) )).
% 39.92/40.16 cnf(matrix-8487, plain, ( class_Rings_Osemiring(tc_Code__Numeral_Ocode__numeral) )).
% 39.92/40.16 cnf(matrix-8488, plain, ( class_Orderings_Oord(tc_Code__Numeral_Ocode__numeral) )).
% 39.92/40.16 cnf(matrix-8489, plain, ( class_Groups_Ominus(tc_Code__Numeral_Ocode__numeral) )).
% 39.92/40.16 cnf(matrix-8490, plain, ( class_Power_Opower(tc_Code__Numeral_Ocode__numeral) )).
% 39.92/40.16 cnf(matrix-8491, plain, ( class_Groups_Ozero(tc_Code__Numeral_Ocode__numeral) )).
% 39.92/40.16 cnf(matrix-8492, plain, ( class_Int_Onumber(tc_Code__Numeral_Ocode__numeral) )).
% 39.92/40.16 cnf(matrix-8493, plain, ( class_Groups_Oone(tc_Code__Numeral_Ocode__numeral) )).
% 39.92/40.16 cnf(matrix-8494, plain, ( class_HOL_Oequal(tc_Code__Numeral_Ocode__numeral) )).
% 39.92/40.16 cnf(matrix-8495, plain, ( class_Nat_Osize(tc_Code__Numeral_Ocode__numeral) )).
% 39.92/40.16 cnf(matrix-8496, plain, ( class_HOL_Oequal(tc_Lazy__Sequence_Olazy__sequence(_u21116)) )).
% 39.92/40.16 cnf(matrix-8497, plain, ( class_Nat_Osize(tc_Lazy__Sequence_Olazy__sequence(_u21117)) )).
% 39.92/40.16 cnf(matrix-8498, plain, ( ( hAPP(c_COMBI(_u21118), _u21119) = _u21119) )).
% 39.92/40.16 cnf(matrix-8499, plain, ( ( hAPP(hAPP(c_COMBK(_u21120, _u21121), _u21122), _u21123) = _u21122) )).
% 39.92/40.16 cnf(matrix-8500, plain, ( ( hAPP(hAPP(hAPP(c_COMBB(_u21124, _u21125, _u21126), _u21127), _u21128), _u21129) = hAPP(_u21127, hAPP(_u21128, _u21129))) )).
% 39.92/40.16 cnf(matrix-8501, plain, ( ( hAPP(hAPP(hAPP(c_COMBC(_u21130, _u21131, _u21132), _u21133), _u21134), _u21135) = hAPP(hAPP(_u21133, _u21135), _u21134)) )).
% 39.92/40.16 cnf(matrix-8502, plain, ( ( hAPP(hAPP(hAPP(c_COMBS(_u21136, _u21137, _u21138), _u21139), _u21140), _u21141) = hAPP(hAPP(_u21139, _u21141), hAPP(_u21140, _u21141))) )).
% 39.92/40.16 cnf(matrix-8503, plain, ( ~hBOOL(hAPP(hAPP(c_fequal, _u21142), _u21143)) | ( _u21142 = _u21143) )).
% 39.92/40.16 cnf(matrix-8504, plain, ( ( _u21144 != _u21145) | hBOOL(hAPP(hAPP(c_fequal, _u21144), _u21145)) )).
% 39.92/40.16 cnf(matrix-8505, plain, ( ~hBOOL(c_fFalse) )).
% 39.92/40.16 cnf(matrix-8506, plain, ( hBOOL(c_fTrue) )).
% 39.92/40.16 cnf(matrix-8507, plain, ( ~hBOOL(hAPP(c_fNot, _u21146)) | ~hBOOL(_u21146) )).
% 39.92/40.16 cnf(matrix-8508, plain, ( hBOOL(_u21147) | hBOOL(hAPP(c_fNot, _u21147)) )).
% 39.92/40.16 cnf(matrix-8509, plain, ( ~hBOOL(_u21149) | ~hBOOL(_u21148) | hBOOL(hAPP(hAPP(c_fconj, _u21148), _u21149)) )).
% 39.92/40.16 cnf(matrix-8510, plain, ( ~hBOOL(hAPP(hAPP(c_fconj, _u21150), _u21151)) | hBOOL(_u21150) )).
% 39.92/40.16 cnf(matrix-8511, plain, ( hBOOL(_u21153) | ~hBOOL(hAPP(hAPP(c_fconj, _u21152), _u21153)) )).
% 39.92/40.16 cnf(matrix-8512, plain, ( ~hBOOL(_u21154) | hBOOL(hAPP(hAPP(c_fdisj, _u21154), _u21155)) )).
% 39.92/40.16 cnf(matrix-8513, plain, ( ~hBOOL(_u21156) | hBOOL(hAPP(hAPP(c_fdisj, _u21157), _u21156)) )).
% 39.92/40.16 cnf(matrix-8514, plain, ( hBOOL(_u21159) | ~hBOOL(hAPP(hAPP(c_fdisj, _u21158), _u21159)) | hBOOL(_u21158) )).
% 39.92/40.16 cnf(matrix-8515, plain, ( hBOOL(_u21160) | hBOOL(hAPP(hAPP(c_fimplies, _u21160), _u21161)) )).
% 39.92/40.16 cnf(matrix-8516, plain, ( ~hBOOL(_u21162) | hBOOL(hAPP(hAPP(c_fimplies, _u21163), _u21162)) )).
% 39.92/40.16 cnf(matrix-8517, plain, ( hBOOL(_u21165) | ~hBOOL(hAPP(hAPP(c_fimplies, _u21164), _u21165)) | ~hBOOL(_u21164) )).
% 39.92/40.16 cnf(matrix-8518, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool)), v_G), v_Ga)) )).
% 39.92/40.16 cnf(matrix-8519, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(t_a, v_Ga, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), c_Hoare__Mirabelle_Otriple_Otriple(t_a, v_P, c_Com_Ocom_OSKIP, v_P)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool)))) )).
% 39.92/40.16
% 39.92/40.16 % Proof stack:
% 39.92/40.16 cnf(proof-stack, plain,
% 39.92/40.16 proof_stack(
% 39.92/40.16 start(8519),
% 39.92/40.16 left_branch(0, 1039, 2, 2),
% 39.92/40.16 left_branch(0, 1032, 0, 3),
% 39.92/40.16 right_branch(3),
% 39.92/40.16 left_branch(0, 1113, 0, 4),
% 39.92/40.16 right_branch(4),
% 39.92/40.16 right_branch(2)
% 39.92/40.16 )).
% 39.92/40.16 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------